lab-unsupervised-learning-intro.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "37848122",
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "\n",
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "id": "35cdea71",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "name                 object\n",
       "album                object\n",
       "artist               object\n",
       "release_date         object\n",
       "length                int64\n",
       "popularity            int64\n",
       "acousticness        float64\n",
       "danceability        float64\n",
       "energy              float64\n",
       "instrumentalness    float64\n",
       "liveness            float64\n",
       "loudness            float64\n",
       "speechiness         float64\n",
       "tempo               float64\n",
       "time_signature        int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 92,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(r\"C:\\Users\\fabi_\\OneDrive\\Estudos e Cursos\\Data analytics\\Ironhack\\Statistics_EDA_ML\\lab-unsupervised-learning-intro\\spotify.csv\")\n",
    "df = df.drop(['Unnamed: 0'], axis = 1)\n",
    "\n",
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "id": "4ee6703a",
   "metadata": {},
   "outputs": [
    {
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       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
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       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>I Wanna Be Yours</td>\n",
       "      <td>AM</td>\n",
       "      <td>Arctic Monkeys</td>\n",
       "      <td>2013-09-09</td>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.136000</td>\n",
       "      <td>0.464</td>\n",
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       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>A Rush of Blood to the Head</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2002-08-27</td>\n",
       "      <td>309600</td>\n",
       "      <td>86</td>\n",
       "      <td>0.731000</td>\n",
       "      <td>0.557</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.1100</td>\n",
       "      <td>-7.224</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>146.277</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Natasha Bedingfield</td>\n",
       "      <td>2004-08-30</td>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Without Me</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>290320</td>\n",
       "      <td>88</td>\n",
       "      <td>0.002860</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.669</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>-2.827</td>\n",
       "      <td>0.0738</td>\n",
       "      <td>112.238</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hips Don't Lie (feat. Wyclef Jean)</td>\n",
       "      <td>Oral Fixation, Vol. 2 (Expanded Edition)</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>2005-11-28</td>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.284000</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>In the End</td>\n",
       "      <td>Hybrid Theory (Bonus Edition)</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2000</td>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.009580</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.002390</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Mr. Brightside</td>\n",
       "      <td>Hot Fuss</td>\n",
       "      <td>The Killers</td>\n",
       "      <td>2004</td>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.001210</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Mockingbird</td>\n",
       "      <td>Encore (Deluxe Version)</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2004-11-12</td>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hey, Soul Sister</td>\n",
       "      <td>Save Me, San Francisco (Golden Gate Edition)</td>\n",
       "      <td>Train</td>\n",
       "      <td>2010-12-01</td>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.185000</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Seven Nation Army</td>\n",
       "      <td>Elephant</td>\n",
       "      <td>The White Stripes</td>\n",
       "      <td>2003-04-01</td>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003900</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Viva La Vida</td>\n",
       "      <td>Viva La Vida or Death and All His Friends</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2008-05-26</td>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>How You Remind Me</td>\n",
       "      <td>Silver Side Up</td>\n",
       "      <td>Nickelback</td>\n",
       "      <td>2001-09-11</td>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.001350</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>The Real Slim Shady</td>\n",
       "      <td>The Marshall Mathers LP</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2000-05-23</td>\n",
       "      <td>284200</td>\n",
       "      <td>86</td>\n",
       "      <td>0.030200</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0454</td>\n",
       "      <td>-4.244</td>\n",
       "      <td>0.0572</td>\n",
       "      <td>104.504</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Yeah! (feat. Lil Jon &amp; Ludacris)</td>\n",
       "      <td>Confessions (Expanded Edition)</td>\n",
       "      <td>USHER</td>\n",
       "      <td>2004-03-23</td>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Feel Good Inc.</td>\n",
       "      <td>Demon Days</td>\n",
       "      <td>Gorillaz</td>\n",
       "      <td>2005-05-23</td>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.008360</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Numb</td>\n",
       "      <td>Meteora</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2003-09-16</td>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003530</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Toxic</td>\n",
       "      <td>In The Zone</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>2003-11-13</td>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.024900</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Smack That</td>\n",
       "      <td>Konvicted</td>\n",
       "      <td>Akon</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.323000</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Sex on Fire</td>\n",
       "      <td>Only By The Night</td>\n",
       "      <td>Kings of Leon</td>\n",
       "      <td>2008-09-23</td>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.001720</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Can't Stop</td>\n",
       "      <td>By the Way (Deluxe Edition)</td>\n",
       "      <td>Red Hot Chili Peppers</td>\n",
       "      <td>2002-07-09</td>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.017900</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Heartless</td>\n",
       "      <td>808s &amp; Heartbreak</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2008-11-24</td>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.051500</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Sparks</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.748000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>TiK ToK</td>\n",
       "      <td>Animal (Expanded Edition)</td>\n",
       "      <td>Kesha</td>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.099100</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Till I Collapse</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>297786</td>\n",
       "      <td>84</td>\n",
       "      <td>0.062200</td>\n",
       "      <td>0.548</td>\n",
       "      <td>0.847</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0816</td>\n",
       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
       "      <td>171.447</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Hey Ya!</td>\n",
       "      <td>Speakerboxxx/The Love Below</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2003</td>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Flashing Lights</td>\n",
       "      <td>Graduation</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2007-09-11</td>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Bring Me To Life</td>\n",
       "      <td>Fallen</td>\n",
       "      <td>Evanescence</td>\n",
       "      <td>2003-03-04</td>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Promiscuous</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Murder On The Dancefloor</td>\n",
       "      <td>Read My Lips (Deluxe Version)</td>\n",
       "      <td>Sophie Ellis-Bextor</td>\n",
       "      <td>2002-06-06</td>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.002340</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Gasolina</td>\n",
       "      <td>Barrio Fino (Bonus Track Version)</td>\n",
       "      <td>Daddy Yankee</td>\n",
       "      <td>2004-07-13</td>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.322000</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Ms. Jackson</td>\n",
       "      <td>Stankonia</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2000-10-31</td>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.143000</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0771</td>\n",
       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
       "      <td>94.948</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>This Love</td>\n",
       "      <td>Songs About Jane: 10th Anniversary Edition</td>\n",
       "      <td>Maroon 5</td>\n",
       "      <td>2002</td>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.052500</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Bad Romance</td>\n",
       "      <td>The Fame Monster (Deluxe Edition)</td>\n",
       "      <td>Lady Gaga</td>\n",
       "      <td>2009-11-05</td>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.003140</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>119.007</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>The Middle</td>\n",
       "      <td>Bleed American</td>\n",
       "      <td>Jimmy Eat World</td>\n",
       "      <td>2001-07-17</td>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.037100</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Fix You</td>\n",
       "      <td>X&amp;Y</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2005-06-07</td>\n",
       "      <td>295533</td>\n",
       "      <td>82</td>\n",
       "      <td>0.164000</td>\n",
       "      <td>0.209</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.001960</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>-8.740</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>138.178</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Back To Black</td>\n",
       "      <td>Back To Black (Deluxe Edition)</td>\n",
       "      <td>Amy Winehouse</td>\n",
       "      <td>2006</td>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Complicated</td>\n",
       "      <td>Let Go</td>\n",
       "      <td>Avril Lavigne</td>\n",
       "      <td>2002-06-04</td>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Maneater</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>The Way I Are</td>\n",
       "      <td>Shock Value</td>\n",
       "      <td>Timbaland</td>\n",
       "      <td>2007-01-01</td>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.181000</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Dile</td>\n",
       "      <td>The Last Don</td>\n",
       "      <td>Don Omar</td>\n",
       "      <td>2003-01-01</td>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.186000</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>If I Ain't Got You</td>\n",
       "      <td>The Diary Of Alicia Keys</td>\n",
       "      <td>Alicia Keys</td>\n",
       "      <td>2003-12-02</td>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.603000</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Take Me Out</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>2004-02-16</td>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Superman</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>350320</td>\n",
       "      <td>82</td>\n",
       "      <td>0.021500</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2950</td>\n",
       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>You're Gonna Go Far, Kid</td>\n",
       "      <td>Rise And Fall, Rage And Grace</td>\n",
       "      <td>The Offspring</td>\n",
       "      <td>2008-06-17</td>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.004280</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Valerie (feat. Amy Winehouse) - Version Revisited</td>\n",
       "      <td>Version</td>\n",
       "      <td>Mark Ronson</td>\n",
       "      <td>2007-04-16</td>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.002430</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>Low (feat. T-Pain)</td>\n",
       "      <td>Mail on Sunday</td>\n",
       "      <td>Flo Rida</td>\n",
       "      <td>2008-03-17</td>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.092800</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>Duvet</td>\n",
       "      <td>Twilight</td>\n",
       "      <td>bôa</td>\n",
       "      <td>2010-04-20</td>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.191000</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Drops of Jupiter (Tell Me)</td>\n",
       "      <td>Drops Of Jupiter</td>\n",
       "      <td>Train</td>\n",
       "      <td>2001-03-27</td>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>I Gotta Feeling</td>\n",
       "      <td>THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...</td>\n",
       "      <td>Black Eyed Peas</td>\n",
       "      <td>2009-01-01</td>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.087300</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 name  \\\n",
       "0                                    I Wanna Be Yours   \n",
       "1                                       The Scientist   \n",
       "2                                           Unwritten   \n",
       "3                                          Without Me   \n",
       "4                  Hips Don't Lie (feat. Wyclef Jean)   \n",
       "5                                          In the End   \n",
       "6                                              Yellow   \n",
       "7                                      Mr. Brightside   \n",
       "8                                         Mockingbird   \n",
       "9                                    Hey, Soul Sister   \n",
       "10                                  Seven Nation Army   \n",
       "11                                       Viva La Vida   \n",
       "12                                  How You Remind Me   \n",
       "13                                The Real Slim Shady   \n",
       "14                   Yeah! (feat. Lil Jon & Ludacris)   \n",
       "15                                     Feel Good Inc.   \n",
       "16                                               Numb   \n",
       "17                                              Toxic   \n",
       "18                                         Smack That   \n",
       "19                                        Sex on Fire   \n",
       "20                                         Can't Stop   \n",
       "21                                          Heartless   \n",
       "22                                             Sparks   \n",
       "23                                            TiK ToK   \n",
       "24                                    Till I Collapse   \n",
       "25                                            Hey Ya!   \n",
       "26                                    Flashing Lights   \n",
       "27                                   Bring Me To Life   \n",
       "28                                        Promiscuous   \n",
       "29                           Murder On The Dancefloor   \n",
       "30                                           Gasolina   \n",
       "31                                        Ms. Jackson   \n",
       "32                                          This Love   \n",
       "33                                        Bad Romance   \n",
       "34                                         The Middle   \n",
       "35                                            Fix You   \n",
       "36                                      Back To Black   \n",
       "37                                        Complicated   \n",
       "38                                           Maneater   \n",
       "39                                      The Way I Are   \n",
       "40                                               Dile   \n",
       "41                                 If I Ain't Got You   \n",
       "42                                        Take Me Out   \n",
       "43                                           Superman   \n",
       "44                           You're Gonna Go Far, Kid   \n",
       "45  Valerie (feat. Amy Winehouse) - Version Revisited   \n",
       "46                                 Low (feat. T-Pain)   \n",
       "47                                              Duvet   \n",
       "48                         Drops of Jupiter (Tell Me)   \n",
       "49                                    I Gotta Feeling   \n",
       "\n",
       "                                                album                 artist  \\\n",
       "0                                                  AM         Arctic Monkeys   \n",
       "1                         A Rush of Blood to the Head               Coldplay   \n",
       "2                                           Unwritten    Natasha Bedingfield   \n",
       "3                                     The Eminem Show                 Eminem   \n",
       "4            Oral Fixation, Vol. 2 (Expanded Edition)                Shakira   \n",
       "5                       Hybrid Theory (Bonus Edition)            Linkin Park   \n",
       "6                                          Parachutes               Coldplay   \n",
       "7                                            Hot Fuss            The Killers   \n",
       "8                             Encore (Deluxe Version)                 Eminem   \n",
       "9        Save Me, San Francisco (Golden Gate Edition)                  Train   \n",
       "10                                           Elephant      The White Stripes   \n",
       "11          Viva La Vida or Death and All His Friends               Coldplay   \n",
       "12                                     Silver Side Up             Nickelback   \n",
       "13                            The Marshall Mathers LP                 Eminem   \n",
       "14                     Confessions (Expanded Edition)                  USHER   \n",
       "15                                         Demon Days               Gorillaz   \n",
       "16                                            Meteora            Linkin Park   \n",
       "17                                        In The Zone         Britney Spears   \n",
       "18                                          Konvicted                   Akon   \n",
       "19                                  Only By The Night          Kings of Leon   \n",
       "20                        By the Way (Deluxe Edition)  Red Hot Chili Peppers   \n",
       "21                                  808s & Heartbreak             Kanye West   \n",
       "22                                         Parachutes               Coldplay   \n",
       "23                          Animal (Expanded Edition)                  Kesha   \n",
       "24                                    The Eminem Show                 Eminem   \n",
       "25                        Speakerboxxx/The Love Below                Outkast   \n",
       "26                                         Graduation             Kanye West   \n",
       "27                                             Fallen            Evanescence   \n",
       "28                                              Loose          Nelly Furtado   \n",
       "29                      Read My Lips (Deluxe Version)    Sophie Ellis-Bextor   \n",
       "30                  Barrio Fino (Bonus Track Version)           Daddy Yankee   \n",
       "31                                          Stankonia                Outkast   \n",
       "32         Songs About Jane: 10th Anniversary Edition               Maroon 5   \n",
       "33                  The Fame Monster (Deluxe Edition)              Lady Gaga   \n",
       "34                                     Bleed American        Jimmy Eat World   \n",
       "35                                                X&Y               Coldplay   \n",
       "36                     Back To Black (Deluxe Edition)          Amy Winehouse   \n",
       "37                                             Let Go          Avril Lavigne   \n",
       "38                                              Loose          Nelly Furtado   \n",
       "39                                        Shock Value              Timbaland   \n",
       "40                                       The Last Don               Don Omar   \n",
       "41                           The Diary Of Alicia Keys            Alicia Keys   \n",
       "42                                    Franz Ferdinand        Franz Ferdinand   \n",
       "43                                    The Eminem Show                 Eminem   \n",
       "44                      Rise And Fall, Rage And Grace          The Offspring   \n",
       "45                                            Version            Mark Ronson   \n",
       "46                                     Mail on Sunday               Flo Rida   \n",
       "47                                           Twilight                    bôa   \n",
       "48                                   Drops Of Jupiter                  Train   \n",
       "49  THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...        Black Eyed Peas   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "0    2013-09-09  183956          91      0.136000         0.464   0.417   \n",
       "1    2002-08-27  309600          86      0.731000         0.557   0.442   \n",
       "2    2004-08-30  259333          88      0.005840         0.706   0.800   \n",
       "3    2002-05-26  290320          88      0.002860         0.908   0.669   \n",
       "4    2005-11-28  218093          87      0.284000         0.778   0.824   \n",
       "5          2000  216880          87      0.009580         0.556   0.864   \n",
       "6    2000-07-10  266773          89      0.002390         0.429   0.661   \n",
       "7          2004  222973          87      0.001210         0.352   0.911   \n",
       "8    2004-11-12  250760          86      0.209000         0.637   0.678   \n",
       "9    2010-12-01  216773          85      0.185000         0.673   0.886   \n",
       "10   2003-04-01  232106          85      0.003900         0.743   0.446   \n",
       "11   2008-05-26  242373          87      0.095400         0.486   0.617   \n",
       "12   2001-09-11  223840          85      0.001350         0.446   0.764   \n",
       "13   2000-05-23  284200          86      0.030200         0.949   0.661   \n",
       "14   2004-03-23  250373          85      0.018300         0.894   0.791   \n",
       "15   2005-05-23  222640          85      0.008360         0.818   0.705   \n",
       "16   2003-09-16  187520          85      0.003530         0.488   0.870   \n",
       "17   2003-11-13  198800          85      0.024900         0.774   0.838   \n",
       "18   2006-01-01  212360          84      0.323000         0.939   0.741   \n",
       "19   2008-09-23  203346          84      0.001720         0.542   0.905   \n",
       "20   2002-07-09  269000          84      0.017900         0.618   0.938   \n",
       "21   2008-11-24  211000          84      0.051500         0.790   0.647   \n",
       "22   2000-07-10  227093          84      0.748000         0.371   0.268   \n",
       "23   2010-01-01  199693          84      0.099100         0.755   0.837   \n",
       "24   2002-05-26  297786          84      0.062200         0.548   0.847   \n",
       "25         2003  235213          83      0.103000         0.727   0.974   \n",
       "26   2007-09-11  237506          83      0.038100         0.639   0.628   \n",
       "27   2003-03-04  235893          83      0.007210         0.331   0.943   \n",
       "28   2006-01-01  242293          83      0.057300         0.808   0.970   \n",
       "29   2002-06-06  230013          83      0.002340         0.730   0.849   \n",
       "30   2004-07-13  192600          83      0.322000         0.852   0.797   \n",
       "31   2000-10-31  270506          83      0.143000         0.843   0.806   \n",
       "32         2002  206200          83      0.052500         0.712   0.862   \n",
       "33   2009-11-05  294573          82      0.003140         0.695   0.921   \n",
       "34   2001-07-17  165853          82      0.037100         0.643   0.849   \n",
       "35   2005-06-07  295533          82      0.164000         0.209   0.417   \n",
       "36         2006  241293          82      0.134000         0.434   0.422   \n",
       "37   2002-06-04  244506          82      0.057200         0.585   0.776   \n",
       "38   2006-01-01  258893          82      0.025800         0.796   0.778   \n",
       "39   2007-01-01  179120          82      0.181000         0.729   0.807   \n",
       "40   2003-01-01  204600          82      0.186000         0.822   0.713   \n",
       "41   2003-12-02  228706          82      0.603000         0.609   0.444   \n",
       "42   2004-02-16  237026          82      0.000409         0.277   0.663   \n",
       "43   2002-05-26  350320          82      0.021500         0.802   0.755   \n",
       "44   2008-06-17  177826          82      0.004280         0.550   0.917   \n",
       "45   2007-04-16  219413          82      0.002430         0.699   0.830   \n",
       "46   2008-03-17  231400          82      0.092800         0.918   0.609   \n",
       "47   2010-04-20  203600          82      0.191000         0.583   0.888   \n",
       "48   2001-03-27  259933          82      0.153000         0.481   0.638   \n",
       "49   2009-01-01  289133          81      0.087300         0.744   0.766   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "0           0.022000    0.0974    -9.345       0.0256   67.528   \n",
       "1           0.000015    0.1100    -7.224       0.0243  146.277   \n",
       "2           0.000000    0.0822    -6.333       0.0399  100.011   \n",
       "3           0.000000    0.2370    -2.827       0.0738  112.238   \n",
       "4           0.000000    0.4050    -5.892       0.0707  100.024   \n",
       "5           0.000000    0.2090    -5.870       0.0584  105.143   \n",
       "6           0.000121    0.2340    -7.227       0.0281  173.372   \n",
       "7           0.000000    0.0995    -5.230       0.0747  148.033   \n",
       "8           0.000000    0.1560    -3.798       0.2660   84.039   \n",
       "9           0.000000    0.0826    -4.440       0.0431   97.012   \n",
       "10          0.118000    0.3370    -7.807       0.0683  123.596   \n",
       "11          0.000003    0.1090    -7.115       0.0287  138.015   \n",
       "12          0.000000    0.0990    -5.042       0.0330  172.094   \n",
       "13          0.000000    0.0454    -4.244       0.0572  104.504   \n",
       "14          0.000000    0.0388    -4.699       0.1120  105.018   \n",
       "15          0.002330    0.6130    -6.679       0.1770  138.559   \n",
       "16          0.000000    0.4840    -4.185       0.0421  110.072   \n",
       "17          0.025000    0.2420    -3.914       0.1140  143.040   \n",
       "18          0.000000    0.1070    -5.171       0.0471  118.978   \n",
       "19          0.010400    0.1360    -5.653       0.0540  153.398   \n",
       "20          0.000000    0.1670    -3.442       0.0456   91.455   \n",
       "21          0.000000    0.2480    -5.983       0.1360   87.999   \n",
       "22          0.051700    0.1040   -10.506       0.0281  102.617   \n",
       "23          0.000000    0.2890    -2.718       0.1420  120.028   \n",
       "24          0.000000    0.0816    -3.237       0.1860  171.447   \n",
       "25          0.000532    0.1740    -2.261       0.0664   79.526   \n",
       "26          0.000000    0.3860    -7.578       0.0398   90.482   \n",
       "27          0.000002    0.2420    -3.188       0.0698   94.612   \n",
       "28          0.000062    0.1540    -6.098       0.0504  114.328   \n",
       "29          0.000026    0.3120    -5.281       0.0299  117.308   \n",
       "30          0.000003    0.0845    -6.543       0.0614   96.008   \n",
       "31          0.000000    0.0771    -5.946       0.2690   94.948   \n",
       "32          0.000000    0.0930    -4.612       0.0378   95.051   \n",
       "33          0.000053    0.0842    -3.752       0.0363  119.007   \n",
       "34          0.000000    0.0580    -5.428       0.0526  162.152   \n",
       "35          0.001960    0.1130    -8.740       0.0338  138.178   \n",
       "36          0.000021    0.0861   -13.964       0.0375  123.201   \n",
       "37          0.000008    0.3000    -5.898       0.0459   77.987   \n",
       "38          0.000386    0.1210    -4.810       0.0397  132.724   \n",
       "39          0.750000    0.3190    -6.492       0.0936  114.742   \n",
       "40          0.000130    0.0431    -7.501       0.1220   94.034   \n",
       "41          0.000007    0.1040    -9.129       0.1060  118.402   \n",
       "42          0.000510    0.1360    -8.821       0.0377  104.561   \n",
       "43          0.000000    0.2950    -3.138       0.0564  130.027   \n",
       "44          0.000000    0.1970    -3.159       0.0638  126.115   \n",
       "45          0.000240    0.0995    -4.898       0.0633  105.809   \n",
       "46          0.000000    0.1390    -5.640       0.0791  128.008   \n",
       "47          0.000046    0.0936    -9.414       0.0349   93.206   \n",
       "48          0.000000    0.1540    -5.862       0.0276   79.064   \n",
       "49          0.000000    0.5090    -6.375       0.0265  127.966   \n",
       "\n",
       "    time_signature  year  \n",
       "0                4  2013  \n",
       "1                4  2002  \n",
       "2                4  2004  \n",
       "3                4  2002  \n",
       "4                4  2005  \n",
       "5                4  2000  \n",
       "6                4  2000  \n",
       "7                4  2004  \n",
       "8                4  2004  \n",
       "9                4  2010  \n",
       "10               4  2003  \n",
       "11               4  2008  \n",
       "12               4  2001  \n",
       "13               4  2000  \n",
       "14               4  2004  \n",
       "15               4  2005  \n",
       "16               4  2003  \n",
       "17               4  2003  \n",
       "18               4  2006  \n",
       "19               4  2008  \n",
       "20               4  2002  \n",
       "21               4  2008  \n",
       "22               3  2000  \n",
       "23               4  2010  \n",
       "24               4  2002  \n",
       "25               4  2003  \n",
       "26               4  2007  \n",
       "27               4  2003  \n",
       "28               4  2006  \n",
       "29               4  2002  \n",
       "30               4  2004  \n",
       "31               4  2000  \n",
       "32               4  2002  \n",
       "33               4  2009  \n",
       "34               4  2001  \n",
       "35               4  2005  \n",
       "36               4  2006  \n",
       "37               4  2002  \n",
       "38               4  2006  \n",
       "39               4  2007  \n",
       "40               4  2003  \n",
       "41               3  2003  \n",
       "42               4  2004  \n",
       "43               4  2002  \n",
       "44               4  2008  \n",
       "45               4  2007  \n",
       "46               4  2008  \n",
       "47               4  2010  \n",
       "48               4  2001  \n",
       "49               4  2009  "
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Define a function to extract the year from the date string\n",
    "def extract_year(date_str):\n",
    "    if pd.isna(date_str):\n",
    "        return np.nan\n",
    "    # Use regular expression to find the year (4 digits starting with 2)\n",
    "    match = re.search(r'\\b2\\d{3}\\b', date_str)\n",
    "    return int(match.group(0)) if match else np.nan\n",
    "\n",
    "# Apply the function to the release_date column\n",
    "df['year'] = df['release_date'].apply(extract_year)\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "64edc730",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.136000</td>\n",
       "      <td>0.464</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.022000</td>\n",
       "      <td>0.0974</td>\n",
       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>309600</td>\n",
       "      <td>86</td>\n",
       "      <td>0.731000</td>\n",
       "      <td>0.557</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.1100</td>\n",
       "      <td>-7.224</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>146.277</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>290320</td>\n",
       "      <td>88</td>\n",
       "      <td>0.002860</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.669</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>-2.827</td>\n",
       "      <td>0.0738</td>\n",
       "      <td>112.238</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.284000</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.009580</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.002390</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.001210</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.185000</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003900</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.001350</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>284200</td>\n",
       "      <td>86</td>\n",
       "      <td>0.030200</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0454</td>\n",
       "      <td>-4.244</td>\n",
       "      <td>0.0572</td>\n",
       "      <td>104.504</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.008360</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003530</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.024900</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.323000</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.001720</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.017900</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.051500</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.748000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.099100</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>297786</td>\n",
       "      <td>84</td>\n",
       "      <td>0.062200</td>\n",
       "      <td>0.548</td>\n",
       "      <td>0.847</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0816</td>\n",
       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
       "      <td>171.447</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.002340</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.322000</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.143000</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0771</td>\n",
       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
       "      <td>94.948</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.052500</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.003140</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>119.007</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.037100</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>295533</td>\n",
       "      <td>82</td>\n",
       "      <td>0.164000</td>\n",
       "      <td>0.209</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.001960</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>-8.740</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>138.178</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.181000</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.186000</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.603000</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>350320</td>\n",
       "      <td>82</td>\n",
       "      <td>0.021500</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2950</td>\n",
       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.004280</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.002430</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.092800</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.191000</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.087300</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    length  popularity  acousticness  danceability  energy  instrumentalness  \\\n",
       "0   183956          91      0.136000         0.464   0.417          0.022000   \n",
       "1   309600          86      0.731000         0.557   0.442          0.000015   \n",
       "2   259333          88      0.005840         0.706   0.800          0.000000   \n",
       "3   290320          88      0.002860         0.908   0.669          0.000000   \n",
       "4   218093          87      0.284000         0.778   0.824          0.000000   \n",
       "5   216880          87      0.009580         0.556   0.864          0.000000   \n",
       "6   266773          89      0.002390         0.429   0.661          0.000121   \n",
       "7   222973          87      0.001210         0.352   0.911          0.000000   \n",
       "8   250760          86      0.209000         0.637   0.678          0.000000   \n",
       "9   216773          85      0.185000         0.673   0.886          0.000000   \n",
       "10  232106          85      0.003900         0.743   0.446          0.118000   \n",
       "11  242373          87      0.095400         0.486   0.617          0.000003   \n",
       "12  223840          85      0.001350         0.446   0.764          0.000000   \n",
       "13  284200          86      0.030200         0.949   0.661          0.000000   \n",
       "14  250373          85      0.018300         0.894   0.791          0.000000   \n",
       "15  222640          85      0.008360         0.818   0.705          0.002330   \n",
       "16  187520          85      0.003530         0.488   0.870          0.000000   \n",
       "17  198800          85      0.024900         0.774   0.838          0.025000   \n",
       "18  212360          84      0.323000         0.939   0.741          0.000000   \n",
       "19  203346          84      0.001720         0.542   0.905          0.010400   \n",
       "20  269000          84      0.017900         0.618   0.938          0.000000   \n",
       "21  211000          84      0.051500         0.790   0.647          0.000000   \n",
       "22  227093          84      0.748000         0.371   0.268          0.051700   \n",
       "23  199693          84      0.099100         0.755   0.837          0.000000   \n",
       "24  297786          84      0.062200         0.548   0.847          0.000000   \n",
       "25  235213          83      0.103000         0.727   0.974          0.000532   \n",
       "26  237506          83      0.038100         0.639   0.628          0.000000   \n",
       "27  235893          83      0.007210         0.331   0.943          0.000002   \n",
       "28  242293          83      0.057300         0.808   0.970          0.000062   \n",
       "29  230013          83      0.002340         0.730   0.849          0.000026   \n",
       "30  192600          83      0.322000         0.852   0.797          0.000003   \n",
       "31  270506          83      0.143000         0.843   0.806          0.000000   \n",
       "32  206200          83      0.052500         0.712   0.862          0.000000   \n",
       "33  294573          82      0.003140         0.695   0.921          0.000053   \n",
       "34  165853          82      0.037100         0.643   0.849          0.000000   \n",
       "35  295533          82      0.164000         0.209   0.417          0.001960   \n",
       "36  241293          82      0.134000         0.434   0.422          0.000021   \n",
       "37  244506          82      0.057200         0.585   0.776          0.000008   \n",
       "38  258893          82      0.025800         0.796   0.778          0.000386   \n",
       "39  179120          82      0.181000         0.729   0.807          0.750000   \n",
       "40  204600          82      0.186000         0.822   0.713          0.000130   \n",
       "41  228706          82      0.603000         0.609   0.444          0.000007   \n",
       "42  237026          82      0.000409         0.277   0.663          0.000510   \n",
       "43  350320          82      0.021500         0.802   0.755          0.000000   \n",
       "44  177826          82      0.004280         0.550   0.917          0.000000   \n",
       "45  219413          82      0.002430         0.699   0.830          0.000240   \n",
       "46  231400          82      0.092800         0.918   0.609          0.000000   \n",
       "47  203600          82      0.191000         0.583   0.888          0.000046   \n",
       "48  259933          82      0.153000         0.481   0.638          0.000000   \n",
       "49  289133          81      0.087300         0.744   0.766          0.000000   \n",
       "\n",
       "    liveness  loudness  speechiness    tempo  time_signature  year  \n",
       "0     0.0974    -9.345       0.0256   67.528               4  2013  \n",
       "1     0.1100    -7.224       0.0243  146.277               4  2002  \n",
       "2     0.0822    -6.333       0.0399  100.011               4  2004  \n",
       "3     0.2370    -2.827       0.0738  112.238               4  2002  \n",
       "4     0.4050    -5.892       0.0707  100.024               4  2005  \n",
       "5     0.2090    -5.870       0.0584  105.143               4  2000  \n",
       "6     0.2340    -7.227       0.0281  173.372               4  2000  \n",
       "7     0.0995    -5.230       0.0747  148.033               4  2004  \n",
       "8     0.1560    -3.798       0.2660   84.039               4  2004  \n",
       "9     0.0826    -4.440       0.0431   97.012               4  2010  \n",
       "10    0.3370    -7.807       0.0683  123.596               4  2003  \n",
       "11    0.1090    -7.115       0.0287  138.015               4  2008  \n",
       "12    0.0990    -5.042       0.0330  172.094               4  2001  \n",
       "13    0.0454    -4.244       0.0572  104.504               4  2000  \n",
       "14    0.0388    -4.699       0.1120  105.018               4  2004  \n",
       "15    0.6130    -6.679       0.1770  138.559               4  2005  \n",
       "16    0.4840    -4.185       0.0421  110.072               4  2003  \n",
       "17    0.2420    -3.914       0.1140  143.040               4  2003  \n",
       "18    0.1070    -5.171       0.0471  118.978               4  2006  \n",
       "19    0.1360    -5.653       0.0540  153.398               4  2008  \n",
       "20    0.1670    -3.442       0.0456   91.455               4  2002  \n",
       "21    0.2480    -5.983       0.1360   87.999               4  2008  \n",
       "22    0.1040   -10.506       0.0281  102.617               3  2000  \n",
       "23    0.2890    -2.718       0.1420  120.028               4  2010  \n",
       "24    0.0816    -3.237       0.1860  171.447               4  2002  \n",
       "25    0.1740    -2.261       0.0664   79.526               4  2003  \n",
       "26    0.3860    -7.578       0.0398   90.482               4  2007  \n",
       "27    0.2420    -3.188       0.0698   94.612               4  2003  \n",
       "28    0.1540    -6.098       0.0504  114.328               4  2006  \n",
       "29    0.3120    -5.281       0.0299  117.308               4  2002  \n",
       "30    0.0845    -6.543       0.0614   96.008               4  2004  \n",
       "31    0.0771    -5.946       0.2690   94.948               4  2000  \n",
       "32    0.0930    -4.612       0.0378   95.051               4  2002  \n",
       "33    0.0842    -3.752       0.0363  119.007               4  2009  \n",
       "34    0.0580    -5.428       0.0526  162.152               4  2001  \n",
       "35    0.1130    -8.740       0.0338  138.178               4  2005  \n",
       "36    0.0861   -13.964       0.0375  123.201               4  2006  \n",
       "37    0.3000    -5.898       0.0459   77.987               4  2002  \n",
       "38    0.1210    -4.810       0.0397  132.724               4  2006  \n",
       "39    0.3190    -6.492       0.0936  114.742               4  2007  \n",
       "40    0.0431    -7.501       0.1220   94.034               4  2003  \n",
       "41    0.1040    -9.129       0.1060  118.402               3  2003  \n",
       "42    0.1360    -8.821       0.0377  104.561               4  2004  \n",
       "43    0.2950    -3.138       0.0564  130.027               4  2002  \n",
       "44    0.1970    -3.159       0.0638  126.115               4  2008  \n",
       "45    0.0995    -4.898       0.0633  105.809               4  2007  \n",
       "46    0.1390    -5.640       0.0791  128.008               4  2008  \n",
       "47    0.0936    -9.414       0.0349   93.206               4  2010  \n",
       "48    0.1540    -5.862       0.0276   79.064               4  2001  \n",
       "49    0.5090    -6.375       0.0265  127.966               4  2009  "
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "metrics = df.select_dtypes(include = [np.number])\n",
    "metrics"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "025b07bd",
   "metadata": {},
   "source": [
    "### Clustering - K-means"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "id": "aeb072f4",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import cluster, datasets\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from matplotlib.lines import Line2D\n",
    "\n",
    "kmeans3 = cluster.KMeans(n_clusters=3)\n",
    "kmeans3.fit(metrics)\n",
    "pred3 = kmeans3.predict(metrics)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "c783b62f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0,\n",
       "       2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1,\n",
       "       0, 2, 2, 0, 2, 1])"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "id": "b053b5f8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>I Wanna Be Yours</td>\n",
       "      <td>AM</td>\n",
       "      <td>Arctic Monkeys</td>\n",
       "      <td>2013-09-09</td>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.136000</td>\n",
       "      <td>0.464</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.022000</td>\n",
       "      <td>0.0974</td>\n",
       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>A Rush of Blood to the Head</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2002-08-27</td>\n",
       "      <td>309600</td>\n",
       "      <td>86</td>\n",
       "      <td>0.731000</td>\n",
       "      <td>0.557</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.1100</td>\n",
       "      <td>-7.224</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>146.277</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Natasha Bedingfield</td>\n",
       "      <td>2004-08-30</td>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Without Me</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>290320</td>\n",
       "      <td>88</td>\n",
       "      <td>0.002860</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.669</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>-2.827</td>\n",
       "      <td>0.0738</td>\n",
       "      <td>112.238</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hips Don't Lie (feat. Wyclef Jean)</td>\n",
       "      <td>Oral Fixation, Vol. 2 (Expanded Edition)</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>2005-11-28</td>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.284000</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>In the End</td>\n",
       "      <td>Hybrid Theory (Bonus Edition)</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2000</td>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.009580</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.002390</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Mr. Brightside</td>\n",
       "      <td>Hot Fuss</td>\n",
       "      <td>The Killers</td>\n",
       "      <td>2004</td>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.001210</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Mockingbird</td>\n",
       "      <td>Encore (Deluxe Version)</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2004-11-12</td>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hey, Soul Sister</td>\n",
       "      <td>Save Me, San Francisco (Golden Gate Edition)</td>\n",
       "      <td>Train</td>\n",
       "      <td>2010-12-01</td>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.185000</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Seven Nation Army</td>\n",
       "      <td>Elephant</td>\n",
       "      <td>The White Stripes</td>\n",
       "      <td>2003-04-01</td>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003900</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Viva La Vida</td>\n",
       "      <td>Viva La Vida or Death and All His Friends</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2008-05-26</td>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>How You Remind Me</td>\n",
       "      <td>Silver Side Up</td>\n",
       "      <td>Nickelback</td>\n",
       "      <td>2001-09-11</td>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.001350</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>The Real Slim Shady</td>\n",
       "      <td>The Marshall Mathers LP</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2000-05-23</td>\n",
       "      <td>284200</td>\n",
       "      <td>86</td>\n",
       "      <td>0.030200</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0454</td>\n",
       "      <td>-4.244</td>\n",
       "      <td>0.0572</td>\n",
       "      <td>104.504</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Yeah! (feat. Lil Jon &amp; Ludacris)</td>\n",
       "      <td>Confessions (Expanded Edition)</td>\n",
       "      <td>USHER</td>\n",
       "      <td>2004-03-23</td>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Feel Good Inc.</td>\n",
       "      <td>Demon Days</td>\n",
       "      <td>Gorillaz</td>\n",
       "      <td>2005-05-23</td>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.008360</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Numb</td>\n",
       "      <td>Meteora</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2003-09-16</td>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003530</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Toxic</td>\n",
       "      <td>In The Zone</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>2003-11-13</td>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.024900</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Smack That</td>\n",
       "      <td>Konvicted</td>\n",
       "      <td>Akon</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.323000</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Sex on Fire</td>\n",
       "      <td>Only By The Night</td>\n",
       "      <td>Kings of Leon</td>\n",
       "      <td>2008-09-23</td>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.001720</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Can't Stop</td>\n",
       "      <td>By the Way (Deluxe Edition)</td>\n",
       "      <td>Red Hot Chili Peppers</td>\n",
       "      <td>2002-07-09</td>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.017900</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Heartless</td>\n",
       "      <td>808s &amp; Heartbreak</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2008-11-24</td>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.051500</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Sparks</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.748000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>TiK ToK</td>\n",
       "      <td>Animal (Expanded Edition)</td>\n",
       "      <td>Kesha</td>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.099100</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Till I Collapse</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>297786</td>\n",
       "      <td>84</td>\n",
       "      <td>0.062200</td>\n",
       "      <td>0.548</td>\n",
       "      <td>0.847</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0816</td>\n",
       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
       "      <td>171.447</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Hey Ya!</td>\n",
       "      <td>Speakerboxxx/The Love Below</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2003</td>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Flashing Lights</td>\n",
       "      <td>Graduation</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2007-09-11</td>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Bring Me To Life</td>\n",
       "      <td>Fallen</td>\n",
       "      <td>Evanescence</td>\n",
       "      <td>2003-03-04</td>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Promiscuous</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Murder On The Dancefloor</td>\n",
       "      <td>Read My Lips (Deluxe Version)</td>\n",
       "      <td>Sophie Ellis-Bextor</td>\n",
       "      <td>2002-06-06</td>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.002340</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Gasolina</td>\n",
       "      <td>Barrio Fino (Bonus Track Version)</td>\n",
       "      <td>Daddy Yankee</td>\n",
       "      <td>2004-07-13</td>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.322000</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Ms. Jackson</td>\n",
       "      <td>Stankonia</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2000-10-31</td>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.143000</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0771</td>\n",
       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
       "      <td>94.948</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>This Love</td>\n",
       "      <td>Songs About Jane: 10th Anniversary Edition</td>\n",
       "      <td>Maroon 5</td>\n",
       "      <td>2002</td>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.052500</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Bad Romance</td>\n",
       "      <td>The Fame Monster (Deluxe Edition)</td>\n",
       "      <td>Lady Gaga</td>\n",
       "      <td>2009-11-05</td>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.003140</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>119.007</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>The Middle</td>\n",
       "      <td>Bleed American</td>\n",
       "      <td>Jimmy Eat World</td>\n",
       "      <td>2001-07-17</td>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.037100</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Fix You</td>\n",
       "      <td>X&amp;Y</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2005-06-07</td>\n",
       "      <td>295533</td>\n",
       "      <td>82</td>\n",
       "      <td>0.164000</td>\n",
       "      <td>0.209</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.001960</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>-8.740</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>138.178</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Back To Black</td>\n",
       "      <td>Back To Black (Deluxe Edition)</td>\n",
       "      <td>Amy Winehouse</td>\n",
       "      <td>2006</td>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Complicated</td>\n",
       "      <td>Let Go</td>\n",
       "      <td>Avril Lavigne</td>\n",
       "      <td>2002-06-04</td>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Maneater</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>The Way I Are</td>\n",
       "      <td>Shock Value</td>\n",
       "      <td>Timbaland</td>\n",
       "      <td>2007-01-01</td>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.181000</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Dile</td>\n",
       "      <td>The Last Don</td>\n",
       "      <td>Don Omar</td>\n",
       "      <td>2003-01-01</td>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.186000</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>If I Ain't Got You</td>\n",
       "      <td>The Diary Of Alicia Keys</td>\n",
       "      <td>Alicia Keys</td>\n",
       "      <td>2003-12-02</td>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.603000</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Take Me Out</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>2004-02-16</td>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Superman</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>350320</td>\n",
       "      <td>82</td>\n",
       "      <td>0.021500</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2950</td>\n",
       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>You're Gonna Go Far, Kid</td>\n",
       "      <td>Rise And Fall, Rage And Grace</td>\n",
       "      <td>The Offspring</td>\n",
       "      <td>2008-06-17</td>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.004280</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Valerie (feat. Amy Winehouse) - Version Revisited</td>\n",
       "      <td>Version</td>\n",
       "      <td>Mark Ronson</td>\n",
       "      <td>2007-04-16</td>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.002430</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>Low (feat. T-Pain)</td>\n",
       "      <td>Mail on Sunday</td>\n",
       "      <td>Flo Rida</td>\n",
       "      <td>2008-03-17</td>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.092800</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>Duvet</td>\n",
       "      <td>Twilight</td>\n",
       "      <td>bôa</td>\n",
       "      <td>2010-04-20</td>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.191000</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Drops of Jupiter (Tell Me)</td>\n",
       "      <td>Drops Of Jupiter</td>\n",
       "      <td>Train</td>\n",
       "      <td>2001-03-27</td>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>I Gotta Feeling</td>\n",
       "      <td>THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...</td>\n",
       "      <td>Black Eyed Peas</td>\n",
       "      <td>2009-01-01</td>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.087300</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 name  \\\n",
       "0                                    I Wanna Be Yours   \n",
       "1                                       The Scientist   \n",
       "2                                           Unwritten   \n",
       "3                                          Without Me   \n",
       "4                  Hips Don't Lie (feat. Wyclef Jean)   \n",
       "5                                          In the End   \n",
       "6                                              Yellow   \n",
       "7                                      Mr. Brightside   \n",
       "8                                         Mockingbird   \n",
       "9                                    Hey, Soul Sister   \n",
       "10                                  Seven Nation Army   \n",
       "11                                       Viva La Vida   \n",
       "12                                  How You Remind Me   \n",
       "13                                The Real Slim Shady   \n",
       "14                   Yeah! (feat. Lil Jon & Ludacris)   \n",
       "15                                     Feel Good Inc.   \n",
       "16                                               Numb   \n",
       "17                                              Toxic   \n",
       "18                                         Smack That   \n",
       "19                                        Sex on Fire   \n",
       "20                                         Can't Stop   \n",
       "21                                          Heartless   \n",
       "22                                             Sparks   \n",
       "23                                            TiK ToK   \n",
       "24                                    Till I Collapse   \n",
       "25                                            Hey Ya!   \n",
       "26                                    Flashing Lights   \n",
       "27                                   Bring Me To Life   \n",
       "28                                        Promiscuous   \n",
       "29                           Murder On The Dancefloor   \n",
       "30                                           Gasolina   \n",
       "31                                        Ms. Jackson   \n",
       "32                                          This Love   \n",
       "33                                        Bad Romance   \n",
       "34                                         The Middle   \n",
       "35                                            Fix You   \n",
       "36                                      Back To Black   \n",
       "37                                        Complicated   \n",
       "38                                           Maneater   \n",
       "39                                      The Way I Are   \n",
       "40                                               Dile   \n",
       "41                                 If I Ain't Got You   \n",
       "42                                        Take Me Out   \n",
       "43                                           Superman   \n",
       "44                           You're Gonna Go Far, Kid   \n",
       "45  Valerie (feat. Amy Winehouse) - Version Revisited   \n",
       "46                                 Low (feat. T-Pain)   \n",
       "47                                              Duvet   \n",
       "48                         Drops of Jupiter (Tell Me)   \n",
       "49                                    I Gotta Feeling   \n",
       "\n",
       "                                                album                 artist  \\\n",
       "0                                                  AM         Arctic Monkeys   \n",
       "1                         A Rush of Blood to the Head               Coldplay   \n",
       "2                                           Unwritten    Natasha Bedingfield   \n",
       "3                                     The Eminem Show                 Eminem   \n",
       "4            Oral Fixation, Vol. 2 (Expanded Edition)                Shakira   \n",
       "5                       Hybrid Theory (Bonus Edition)            Linkin Park   \n",
       "6                                          Parachutes               Coldplay   \n",
       "7                                            Hot Fuss            The Killers   \n",
       "8                             Encore (Deluxe Version)                 Eminem   \n",
       "9        Save Me, San Francisco (Golden Gate Edition)                  Train   \n",
       "10                                           Elephant      The White Stripes   \n",
       "11          Viva La Vida or Death and All His Friends               Coldplay   \n",
       "12                                     Silver Side Up             Nickelback   \n",
       "13                            The Marshall Mathers LP                 Eminem   \n",
       "14                     Confessions (Expanded Edition)                  USHER   \n",
       "15                                         Demon Days               Gorillaz   \n",
       "16                                            Meteora            Linkin Park   \n",
       "17                                        In The Zone         Britney Spears   \n",
       "18                                          Konvicted                   Akon   \n",
       "19                                  Only By The Night          Kings of Leon   \n",
       "20                        By the Way (Deluxe Edition)  Red Hot Chili Peppers   \n",
       "21                                  808s & Heartbreak             Kanye West   \n",
       "22                                         Parachutes               Coldplay   \n",
       "23                          Animal (Expanded Edition)                  Kesha   \n",
       "24                                    The Eminem Show                 Eminem   \n",
       "25                        Speakerboxxx/The Love Below                Outkast   \n",
       "26                                         Graduation             Kanye West   \n",
       "27                                             Fallen            Evanescence   \n",
       "28                                              Loose          Nelly Furtado   \n",
       "29                      Read My Lips (Deluxe Version)    Sophie Ellis-Bextor   \n",
       "30                  Barrio Fino (Bonus Track Version)           Daddy Yankee   \n",
       "31                                          Stankonia                Outkast   \n",
       "32         Songs About Jane: 10th Anniversary Edition               Maroon 5   \n",
       "33                  The Fame Monster (Deluxe Edition)              Lady Gaga   \n",
       "34                                     Bleed American        Jimmy Eat World   \n",
       "35                                                X&Y               Coldplay   \n",
       "36                     Back To Black (Deluxe Edition)          Amy Winehouse   \n",
       "37                                             Let Go          Avril Lavigne   \n",
       "38                                              Loose          Nelly Furtado   \n",
       "39                                        Shock Value              Timbaland   \n",
       "40                                       The Last Don               Don Omar   \n",
       "41                           The Diary Of Alicia Keys            Alicia Keys   \n",
       "42                                    Franz Ferdinand        Franz Ferdinand   \n",
       "43                                    The Eminem Show                 Eminem   \n",
       "44                      Rise And Fall, Rage And Grace          The Offspring   \n",
       "45                                            Version            Mark Ronson   \n",
       "46                                     Mail on Sunday               Flo Rida   \n",
       "47                                           Twilight                    bôa   \n",
       "48                                   Drops Of Jupiter                  Train   \n",
       "49  THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...        Black Eyed Peas   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "0    2013-09-09  183956          91      0.136000         0.464   0.417   \n",
       "1    2002-08-27  309600          86      0.731000         0.557   0.442   \n",
       "2    2004-08-30  259333          88      0.005840         0.706   0.800   \n",
       "3    2002-05-26  290320          88      0.002860         0.908   0.669   \n",
       "4    2005-11-28  218093          87      0.284000         0.778   0.824   \n",
       "5          2000  216880          87      0.009580         0.556   0.864   \n",
       "6    2000-07-10  266773          89      0.002390         0.429   0.661   \n",
       "7          2004  222973          87      0.001210         0.352   0.911   \n",
       "8    2004-11-12  250760          86      0.209000         0.637   0.678   \n",
       "9    2010-12-01  216773          85      0.185000         0.673   0.886   \n",
       "10   2003-04-01  232106          85      0.003900         0.743   0.446   \n",
       "11   2008-05-26  242373          87      0.095400         0.486   0.617   \n",
       "12   2001-09-11  223840          85      0.001350         0.446   0.764   \n",
       "13   2000-05-23  284200          86      0.030200         0.949   0.661   \n",
       "14   2004-03-23  250373          85      0.018300         0.894   0.791   \n",
       "15   2005-05-23  222640          85      0.008360         0.818   0.705   \n",
       "16   2003-09-16  187520          85      0.003530         0.488   0.870   \n",
       "17   2003-11-13  198800          85      0.024900         0.774   0.838   \n",
       "18   2006-01-01  212360          84      0.323000         0.939   0.741   \n",
       "19   2008-09-23  203346          84      0.001720         0.542   0.905   \n",
       "20   2002-07-09  269000          84      0.017900         0.618   0.938   \n",
       "21   2008-11-24  211000          84      0.051500         0.790   0.647   \n",
       "22   2000-07-10  227093          84      0.748000         0.371   0.268   \n",
       "23   2010-01-01  199693          84      0.099100         0.755   0.837   \n",
       "24   2002-05-26  297786          84      0.062200         0.548   0.847   \n",
       "25         2003  235213          83      0.103000         0.727   0.974   \n",
       "26   2007-09-11  237506          83      0.038100         0.639   0.628   \n",
       "27   2003-03-04  235893          83      0.007210         0.331   0.943   \n",
       "28   2006-01-01  242293          83      0.057300         0.808   0.970   \n",
       "29   2002-06-06  230013          83      0.002340         0.730   0.849   \n",
       "30   2004-07-13  192600          83      0.322000         0.852   0.797   \n",
       "31   2000-10-31  270506          83      0.143000         0.843   0.806   \n",
       "32         2002  206200          83      0.052500         0.712   0.862   \n",
       "33   2009-11-05  294573          82      0.003140         0.695   0.921   \n",
       "34   2001-07-17  165853          82      0.037100         0.643   0.849   \n",
       "35   2005-06-07  295533          82      0.164000         0.209   0.417   \n",
       "36         2006  241293          82      0.134000         0.434   0.422   \n",
       "37   2002-06-04  244506          82      0.057200         0.585   0.776   \n",
       "38   2006-01-01  258893          82      0.025800         0.796   0.778   \n",
       "39   2007-01-01  179120          82      0.181000         0.729   0.807   \n",
       "40   2003-01-01  204600          82      0.186000         0.822   0.713   \n",
       "41   2003-12-02  228706          82      0.603000         0.609   0.444   \n",
       "42   2004-02-16  237026          82      0.000409         0.277   0.663   \n",
       "43   2002-05-26  350320          82      0.021500         0.802   0.755   \n",
       "44   2008-06-17  177826          82      0.004280         0.550   0.917   \n",
       "45   2007-04-16  219413          82      0.002430         0.699   0.830   \n",
       "46   2008-03-17  231400          82      0.092800         0.918   0.609   \n",
       "47   2010-04-20  203600          82      0.191000         0.583   0.888   \n",
       "48   2001-03-27  259933          82      0.153000         0.481   0.638   \n",
       "49   2009-01-01  289133          81      0.087300         0.744   0.766   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "0           0.022000    0.0974    -9.345       0.0256   67.528   \n",
       "1           0.000015    0.1100    -7.224       0.0243  146.277   \n",
       "2           0.000000    0.0822    -6.333       0.0399  100.011   \n",
       "3           0.000000    0.2370    -2.827       0.0738  112.238   \n",
       "4           0.000000    0.4050    -5.892       0.0707  100.024   \n",
       "5           0.000000    0.2090    -5.870       0.0584  105.143   \n",
       "6           0.000121    0.2340    -7.227       0.0281  173.372   \n",
       "7           0.000000    0.0995    -5.230       0.0747  148.033   \n",
       "8           0.000000    0.1560    -3.798       0.2660   84.039   \n",
       "9           0.000000    0.0826    -4.440       0.0431   97.012   \n",
       "10          0.118000    0.3370    -7.807       0.0683  123.596   \n",
       "11          0.000003    0.1090    -7.115       0.0287  138.015   \n",
       "12          0.000000    0.0990    -5.042       0.0330  172.094   \n",
       "13          0.000000    0.0454    -4.244       0.0572  104.504   \n",
       "14          0.000000    0.0388    -4.699       0.1120  105.018   \n",
       "15          0.002330    0.6130    -6.679       0.1770  138.559   \n",
       "16          0.000000    0.4840    -4.185       0.0421  110.072   \n",
       "17          0.025000    0.2420    -3.914       0.1140  143.040   \n",
       "18          0.000000    0.1070    -5.171       0.0471  118.978   \n",
       "19          0.010400    0.1360    -5.653       0.0540  153.398   \n",
       "20          0.000000    0.1670    -3.442       0.0456   91.455   \n",
       "21          0.000000    0.2480    -5.983       0.1360   87.999   \n",
       "22          0.051700    0.1040   -10.506       0.0281  102.617   \n",
       "23          0.000000    0.2890    -2.718       0.1420  120.028   \n",
       "24          0.000000    0.0816    -3.237       0.1860  171.447   \n",
       "25          0.000532    0.1740    -2.261       0.0664   79.526   \n",
       "26          0.000000    0.3860    -7.578       0.0398   90.482   \n",
       "27          0.000002    0.2420    -3.188       0.0698   94.612   \n",
       "28          0.000062    0.1540    -6.098       0.0504  114.328   \n",
       "29          0.000026    0.3120    -5.281       0.0299  117.308   \n",
       "30          0.000003    0.0845    -6.543       0.0614   96.008   \n",
       "31          0.000000    0.0771    -5.946       0.2690   94.948   \n",
       "32          0.000000    0.0930    -4.612       0.0378   95.051   \n",
       "33          0.000053    0.0842    -3.752       0.0363  119.007   \n",
       "34          0.000000    0.0580    -5.428       0.0526  162.152   \n",
       "35          0.001960    0.1130    -8.740       0.0338  138.178   \n",
       "36          0.000021    0.0861   -13.964       0.0375  123.201   \n",
       "37          0.000008    0.3000    -5.898       0.0459   77.987   \n",
       "38          0.000386    0.1210    -4.810       0.0397  132.724   \n",
       "39          0.750000    0.3190    -6.492       0.0936  114.742   \n",
       "40          0.000130    0.0431    -7.501       0.1220   94.034   \n",
       "41          0.000007    0.1040    -9.129       0.1060  118.402   \n",
       "42          0.000510    0.1360    -8.821       0.0377  104.561   \n",
       "43          0.000000    0.2950    -3.138       0.0564  130.027   \n",
       "44          0.000000    0.1970    -3.159       0.0638  126.115   \n",
       "45          0.000240    0.0995    -4.898       0.0633  105.809   \n",
       "46          0.000000    0.1390    -5.640       0.0791  128.008   \n",
       "47          0.000046    0.0936    -9.414       0.0349   93.206   \n",
       "48          0.000000    0.1540    -5.862       0.0276   79.064   \n",
       "49          0.000000    0.5090    -6.375       0.0265  127.966   \n",
       "\n",
       "    time_signature  year  cluster3  \n",
       "0                4  2013         0  \n",
       "1                4  2002         1  \n",
       "2                4  2004         2  \n",
       "3                4  2002         1  \n",
       "4                4  2005         0  \n",
       "5                4  2000         0  \n",
       "6                4  2000         1  \n",
       "7                4  2004         2  \n",
       "8                4  2004         2  \n",
       "9                4  2010         0  \n",
       "10               4  2003         2  \n",
       "11               4  2008         2  \n",
       "12               4  2001         2  \n",
       "13               4  2000         1  \n",
       "14               4  2004         2  \n",
       "15               4  2005         2  \n",
       "16               4  2003         0  \n",
       "17               4  2003         0  \n",
       "18               4  2006         0  \n",
       "19               4  2008         0  \n",
       "20               4  2002         1  \n",
       "21               4  2008         0  \n",
       "22               3  2000         2  \n",
       "23               4  2010         0  \n",
       "24               4  2002         1  \n",
       "25               4  2003         2  \n",
       "26               4  2007         2  \n",
       "27               4  2003         2  \n",
       "28               4  2006         2  \n",
       "29               4  2002         2  \n",
       "30               4  2004         0  \n",
       "31               4  2000         1  \n",
       "32               4  2002         0  \n",
       "33               4  2009         1  \n",
       "34               4  2001         0  \n",
       "35               4  2005         1  \n",
       "36               4  2006         2  \n",
       "37               4  2002         2  \n",
       "38               4  2006         2  \n",
       "39               4  2007         0  \n",
       "40               4  2003         0  \n",
       "41               3  2003         2  \n",
       "42               4  2004         2  \n",
       "43               4  2002         1  \n",
       "44               4  2008         0  \n",
       "45               4  2007         2  \n",
       "46               4  2008         2  \n",
       "47               4  2010         0  \n",
       "48               4  2001         2  \n",
       "49               4  2009         1  "
      ]
     },
     "execution_count": 97,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['cluster3']=pred3\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "id": "30763e08",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['name', 'album', 'artist', 'release_date', 'length', 'popularity',\n",
       "       'acousticness', 'danceability', 'energy', 'instrumentalness',\n",
       "       'liveness', 'loudness', 'speechiness', 'tempo', 'time_signature',\n",
       "       'year', 'cluster3'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "id": "9f051d2d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>I Wanna Be Yours</td>\n",
       "      <td>AM</td>\n",
       "      <td>Arctic Monkeys</td>\n",
       "      <td>2013-09-09</td>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.13600</td>\n",
       "      <td>0.464</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.022000</td>\n",
       "      <td>0.0974</td>\n",
       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hips Don't Lie (feat. Wyclef Jean)</td>\n",
       "      <td>Oral Fixation, Vol. 2 (Expanded Edition)</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>2005-11-28</td>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.28400</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>In the End</td>\n",
       "      <td>Hybrid Theory (Bonus Edition)</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2000</td>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.00958</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hey, Soul Sister</td>\n",
       "      <td>Save Me, San Francisco (Golden Gate Edition)</td>\n",
       "      <td>Train</td>\n",
       "      <td>2010-12-01</td>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.18500</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Numb</td>\n",
       "      <td>Meteora</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2003-09-16</td>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.00353</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Toxic</td>\n",
       "      <td>In The Zone</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>2003-11-13</td>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.02490</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Smack That</td>\n",
       "      <td>Konvicted</td>\n",
       "      <td>Akon</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.32300</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Sex on Fire</td>\n",
       "      <td>Only By The Night</td>\n",
       "      <td>Kings of Leon</td>\n",
       "      <td>2008-09-23</td>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.00172</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Heartless</td>\n",
       "      <td>808s &amp; Heartbreak</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2008-11-24</td>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.05150</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>TiK ToK</td>\n",
       "      <td>Animal (Expanded Edition)</td>\n",
       "      <td>Kesha</td>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.09910</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Gasolina</td>\n",
       "      <td>Barrio Fino (Bonus Track Version)</td>\n",
       "      <td>Daddy Yankee</td>\n",
       "      <td>2004-07-13</td>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.32200</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>This Love</td>\n",
       "      <td>Songs About Jane: 10th Anniversary Edition</td>\n",
       "      <td>Maroon 5</td>\n",
       "      <td>2002</td>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.05250</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>The Middle</td>\n",
       "      <td>Bleed American</td>\n",
       "      <td>Jimmy Eat World</td>\n",
       "      <td>2001-07-17</td>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.03710</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>The Way I Are</td>\n",
       "      <td>Shock Value</td>\n",
       "      <td>Timbaland</td>\n",
       "      <td>2007-01-01</td>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.18100</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Dile</td>\n",
       "      <td>The Last Don</td>\n",
       "      <td>Don Omar</td>\n",
       "      <td>2003-01-01</td>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.18600</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>You're Gonna Go Far, Kid</td>\n",
       "      <td>Rise And Fall, Rage And Grace</td>\n",
       "      <td>The Offspring</td>\n",
       "      <td>2008-06-17</td>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.00428</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>Duvet</td>\n",
       "      <td>Twilight</td>\n",
       "      <td>bôa</td>\n",
       "      <td>2010-04-20</td>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.19100</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                  name  \\\n",
       "0                     I Wanna Be Yours   \n",
       "4   Hips Don't Lie (feat. Wyclef Jean)   \n",
       "5                           In the End   \n",
       "9                     Hey, Soul Sister   \n",
       "16                                Numb   \n",
       "17                               Toxic   \n",
       "18                          Smack That   \n",
       "19                         Sex on Fire   \n",
       "21                           Heartless   \n",
       "23                             TiK ToK   \n",
       "30                            Gasolina   \n",
       "32                           This Love   \n",
       "34                          The Middle   \n",
       "39                       The Way I Are   \n",
       "40                                Dile   \n",
       "44            You're Gonna Go Far, Kid   \n",
       "47                               Duvet   \n",
       "\n",
       "                                           album           artist  \\\n",
       "0                                             AM   Arctic Monkeys   \n",
       "4       Oral Fixation, Vol. 2 (Expanded Edition)          Shakira   \n",
       "5                  Hybrid Theory (Bonus Edition)      Linkin Park   \n",
       "9   Save Me, San Francisco (Golden Gate Edition)            Train   \n",
       "16                                       Meteora      Linkin Park   \n",
       "17                                   In The Zone   Britney Spears   \n",
       "18                                     Konvicted             Akon   \n",
       "19                             Only By The Night    Kings of Leon   \n",
       "21                             808s & Heartbreak       Kanye West   \n",
       "23                     Animal (Expanded Edition)            Kesha   \n",
       "30             Barrio Fino (Bonus Track Version)     Daddy Yankee   \n",
       "32    Songs About Jane: 10th Anniversary Edition         Maroon 5   \n",
       "34                                Bleed American  Jimmy Eat World   \n",
       "39                                   Shock Value        Timbaland   \n",
       "40                                  The Last Don         Don Omar   \n",
       "44                 Rise And Fall, Rage And Grace    The Offspring   \n",
       "47                                      Twilight              bôa   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "0    2013-09-09  183956          91       0.13600         0.464   0.417   \n",
       "4    2005-11-28  218093          87       0.28400         0.778   0.824   \n",
       "5          2000  216880          87       0.00958         0.556   0.864   \n",
       "9    2010-12-01  216773          85       0.18500         0.673   0.886   \n",
       "16   2003-09-16  187520          85       0.00353         0.488   0.870   \n",
       "17   2003-11-13  198800          85       0.02490         0.774   0.838   \n",
       "18   2006-01-01  212360          84       0.32300         0.939   0.741   \n",
       "19   2008-09-23  203346          84       0.00172         0.542   0.905   \n",
       "21   2008-11-24  211000          84       0.05150         0.790   0.647   \n",
       "23   2010-01-01  199693          84       0.09910         0.755   0.837   \n",
       "30   2004-07-13  192600          83       0.32200         0.852   0.797   \n",
       "32         2002  206200          83       0.05250         0.712   0.862   \n",
       "34   2001-07-17  165853          82       0.03710         0.643   0.849   \n",
       "39   2007-01-01  179120          82       0.18100         0.729   0.807   \n",
       "40   2003-01-01  204600          82       0.18600         0.822   0.713   \n",
       "44   2008-06-17  177826          82       0.00428         0.550   0.917   \n",
       "47   2010-04-20  203600          82       0.19100         0.583   0.888   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "0           0.022000    0.0974    -9.345       0.0256   67.528   \n",
       "4           0.000000    0.4050    -5.892       0.0707  100.024   \n",
       "5           0.000000    0.2090    -5.870       0.0584  105.143   \n",
       "9           0.000000    0.0826    -4.440       0.0431   97.012   \n",
       "16          0.000000    0.4840    -4.185       0.0421  110.072   \n",
       "17          0.025000    0.2420    -3.914       0.1140  143.040   \n",
       "18          0.000000    0.1070    -5.171       0.0471  118.978   \n",
       "19          0.010400    0.1360    -5.653       0.0540  153.398   \n",
       "21          0.000000    0.2480    -5.983       0.1360   87.999   \n",
       "23          0.000000    0.2890    -2.718       0.1420  120.028   \n",
       "30          0.000003    0.0845    -6.543       0.0614   96.008   \n",
       "32          0.000000    0.0930    -4.612       0.0378   95.051   \n",
       "34          0.000000    0.0580    -5.428       0.0526  162.152   \n",
       "39          0.750000    0.3190    -6.492       0.0936  114.742   \n",
       "40          0.000130    0.0431    -7.501       0.1220   94.034   \n",
       "44          0.000000    0.1970    -3.159       0.0638  126.115   \n",
       "47          0.000046    0.0936    -9.414       0.0349   93.206   \n",
       "\n",
       "    time_signature  year  cluster3  \n",
       "0                4  2013         0  \n",
       "4                4  2005         0  \n",
       "5                4  2000         0  \n",
       "9                4  2010         0  \n",
       "16               4  2003         0  \n",
       "17               4  2003         0  \n",
       "18               4  2006         0  \n",
       "19               4  2008         0  \n",
       "21               4  2008         0  \n",
       "23               4  2010         0  \n",
       "30               4  2004         0  \n",
       "32               4  2002         0  \n",
       "34               4  2001         0  \n",
       "39               4  2007         0  \n",
       "40               4  2003         0  \n",
       "44               4  2008         0  \n",
       "47               4  2010         0  "
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_0 = df[df['cluster3']==0]\n",
    "cluster_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "id": "eaf5a323",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>A Rush of Blood to the Head</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2002-08-27</td>\n",
       "      <td>309600</td>\n",
       "      <td>86</td>\n",
       "      <td>0.73100</td>\n",
       "      <td>0.557</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.1100</td>\n",
       "      <td>-7.224</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>146.277</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Without Me</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>290320</td>\n",
       "      <td>88</td>\n",
       "      <td>0.00286</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.669</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>-2.827</td>\n",
       "      <td>0.0738</td>\n",
       "      <td>112.238</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.00239</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>The Real Slim Shady</td>\n",
       "      <td>The Marshall Mathers LP</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2000-05-23</td>\n",
       "      <td>284200</td>\n",
       "      <td>86</td>\n",
       "      <td>0.03020</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0454</td>\n",
       "      <td>-4.244</td>\n",
       "      <td>0.0572</td>\n",
       "      <td>104.504</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Can't Stop</td>\n",
       "      <td>By the Way (Deluxe Edition)</td>\n",
       "      <td>Red Hot Chili Peppers</td>\n",
       "      <td>2002-07-09</td>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.01790</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Till I Collapse</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>297786</td>\n",
       "      <td>84</td>\n",
       "      <td>0.06220</td>\n",
       "      <td>0.548</td>\n",
       "      <td>0.847</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0816</td>\n",
       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
       "      <td>171.447</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Ms. Jackson</td>\n",
       "      <td>Stankonia</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2000-10-31</td>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.14300</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0771</td>\n",
       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
       "      <td>94.948</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Bad Romance</td>\n",
       "      <td>The Fame Monster (Deluxe Edition)</td>\n",
       "      <td>Lady Gaga</td>\n",
       "      <td>2009-11-05</td>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.00314</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>119.007</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Fix You</td>\n",
       "      <td>X&amp;Y</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2005-06-07</td>\n",
       "      <td>295533</td>\n",
       "      <td>82</td>\n",
       "      <td>0.16400</td>\n",
       "      <td>0.209</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.001960</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>-8.740</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>138.178</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Superman</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>350320</td>\n",
       "      <td>82</td>\n",
       "      <td>0.02150</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2950</td>\n",
       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>I Gotta Feeling</td>\n",
       "      <td>THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...</td>\n",
       "      <td>Black Eyed Peas</td>\n",
       "      <td>2009-01-01</td>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.08730</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   name                                              album  \\\n",
       "1         The Scientist                        A Rush of Blood to the Head   \n",
       "3            Without Me                                    The Eminem Show   \n",
       "6                Yellow                                         Parachutes   \n",
       "13  The Real Slim Shady                            The Marshall Mathers LP   \n",
       "20           Can't Stop                        By the Way (Deluxe Edition)   \n",
       "24      Till I Collapse                                    The Eminem Show   \n",
       "31          Ms. Jackson                                          Stankonia   \n",
       "33          Bad Romance                  The Fame Monster (Deluxe Edition)   \n",
       "35              Fix You                                                X&Y   \n",
       "43             Superman                                    The Eminem Show   \n",
       "49      I Gotta Feeling  THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...   \n",
       "\n",
       "                   artist release_date  length  popularity  acousticness  \\\n",
       "1                Coldplay   2002-08-27  309600          86       0.73100   \n",
       "3                  Eminem   2002-05-26  290320          88       0.00286   \n",
       "6                Coldplay   2000-07-10  266773          89       0.00239   \n",
       "13                 Eminem   2000-05-23  284200          86       0.03020   \n",
       "20  Red Hot Chili Peppers   2002-07-09  269000          84       0.01790   \n",
       "24                 Eminem   2002-05-26  297786          84       0.06220   \n",
       "31                Outkast   2000-10-31  270506          83       0.14300   \n",
       "33              Lady Gaga   2009-11-05  294573          82       0.00314   \n",
       "35               Coldplay   2005-06-07  295533          82       0.16400   \n",
       "43                 Eminem   2002-05-26  350320          82       0.02150   \n",
       "49        Black Eyed Peas   2009-01-01  289133          81       0.08730   \n",
       "\n",
       "    danceability  energy  instrumentalness  liveness  loudness  speechiness  \\\n",
       "1          0.557   0.442          0.000015    0.1100    -7.224       0.0243   \n",
       "3          0.908   0.669          0.000000    0.2370    -2.827       0.0738   \n",
       "6          0.429   0.661          0.000121    0.2340    -7.227       0.0281   \n",
       "13         0.949   0.661          0.000000    0.0454    -4.244       0.0572   \n",
       "20         0.618   0.938          0.000000    0.1670    -3.442       0.0456   \n",
       "24         0.548   0.847          0.000000    0.0816    -3.237       0.1860   \n",
       "31         0.843   0.806          0.000000    0.0771    -5.946       0.2690   \n",
       "33         0.695   0.921          0.000053    0.0842    -3.752       0.0363   \n",
       "35         0.209   0.417          0.001960    0.1130    -8.740       0.0338   \n",
       "43         0.802   0.755          0.000000    0.2950    -3.138       0.0564   \n",
       "49         0.744   0.766          0.000000    0.5090    -6.375       0.0265   \n",
       "\n",
       "      tempo  time_signature  year  cluster3  \n",
       "1   146.277               4  2002         1  \n",
       "3   112.238               4  2002         1  \n",
       "6   173.372               4  2000         1  \n",
       "13  104.504               4  2000         1  \n",
       "20   91.455               4  2002         1  \n",
       "24  171.447               4  2002         1  \n",
       "31   94.948               4  2000         1  \n",
       "33  119.007               4  2009         1  \n",
       "35  138.178               4  2005         1  \n",
       "43  130.027               4  2002         1  \n",
       "49  127.966               4  2009         1  "
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_1 = df[df['cluster3']==1]\n",
    "cluster_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "id": "8997429d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Natasha Bedingfield</td>\n",
       "      <td>2004-08-30</td>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Mr. Brightside</td>\n",
       "      <td>Hot Fuss</td>\n",
       "      <td>The Killers</td>\n",
       "      <td>2004</td>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.001210</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Mockingbird</td>\n",
       "      <td>Encore (Deluxe Version)</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2004-11-12</td>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Seven Nation Army</td>\n",
       "      <td>Elephant</td>\n",
       "      <td>The White Stripes</td>\n",
       "      <td>2003-04-01</td>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003900</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Viva La Vida</td>\n",
       "      <td>Viva La Vida or Death and All His Friends</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2008-05-26</td>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>How You Remind Me</td>\n",
       "      <td>Silver Side Up</td>\n",
       "      <td>Nickelback</td>\n",
       "      <td>2001-09-11</td>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.001350</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Yeah! (feat. Lil Jon &amp; Ludacris)</td>\n",
       "      <td>Confessions (Expanded Edition)</td>\n",
       "      <td>USHER</td>\n",
       "      <td>2004-03-23</td>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Feel Good Inc.</td>\n",
       "      <td>Demon Days</td>\n",
       "      <td>Gorillaz</td>\n",
       "      <td>2005-05-23</td>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.008360</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Sparks</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.748000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Hey Ya!</td>\n",
       "      <td>Speakerboxxx/The Love Below</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2003</td>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Flashing Lights</td>\n",
       "      <td>Graduation</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2007-09-11</td>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Bring Me To Life</td>\n",
       "      <td>Fallen</td>\n",
       "      <td>Evanescence</td>\n",
       "      <td>2003-03-04</td>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Promiscuous</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Murder On The Dancefloor</td>\n",
       "      <td>Read My Lips (Deluxe Version)</td>\n",
       "      <td>Sophie Ellis-Bextor</td>\n",
       "      <td>2002-06-06</td>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.002340</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Back To Black</td>\n",
       "      <td>Back To Black (Deluxe Edition)</td>\n",
       "      <td>Amy Winehouse</td>\n",
       "      <td>2006</td>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Complicated</td>\n",
       "      <td>Let Go</td>\n",
       "      <td>Avril Lavigne</td>\n",
       "      <td>2002-06-04</td>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Maneater</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>If I Ain't Got You</td>\n",
       "      <td>The Diary Of Alicia Keys</td>\n",
       "      <td>Alicia Keys</td>\n",
       "      <td>2003-12-02</td>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.603000</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Take Me Out</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>2004-02-16</td>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Valerie (feat. Amy Winehouse) - Version Revisited</td>\n",
       "      <td>Version</td>\n",
       "      <td>Mark Ronson</td>\n",
       "      <td>2007-04-16</td>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.002430</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>Low (feat. T-Pain)</td>\n",
       "      <td>Mail on Sunday</td>\n",
       "      <td>Flo Rida</td>\n",
       "      <td>2008-03-17</td>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.092800</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Drops of Jupiter (Tell Me)</td>\n",
       "      <td>Drops Of Jupiter</td>\n",
       "      <td>Train</td>\n",
       "      <td>2001-03-27</td>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 name  \\\n",
       "2                                           Unwritten   \n",
       "7                                      Mr. Brightside   \n",
       "8                                         Mockingbird   \n",
       "10                                  Seven Nation Army   \n",
       "11                                       Viva La Vida   \n",
       "12                                  How You Remind Me   \n",
       "14                   Yeah! (feat. Lil Jon & Ludacris)   \n",
       "15                                     Feel Good Inc.   \n",
       "22                                             Sparks   \n",
       "25                                            Hey Ya!   \n",
       "26                                    Flashing Lights   \n",
       "27                                   Bring Me To Life   \n",
       "28                                        Promiscuous   \n",
       "29                           Murder On The Dancefloor   \n",
       "36                                      Back To Black   \n",
       "37                                        Complicated   \n",
       "38                                           Maneater   \n",
       "41                                 If I Ain't Got You   \n",
       "42                                        Take Me Out   \n",
       "45  Valerie (feat. Amy Winehouse) - Version Revisited   \n",
       "46                                 Low (feat. T-Pain)   \n",
       "48                         Drops of Jupiter (Tell Me)   \n",
       "\n",
       "                                        album               artist  \\\n",
       "2                                   Unwritten  Natasha Bedingfield   \n",
       "7                                    Hot Fuss          The Killers   \n",
       "8                     Encore (Deluxe Version)               Eminem   \n",
       "10                                   Elephant    The White Stripes   \n",
       "11  Viva La Vida or Death and All His Friends             Coldplay   \n",
       "12                             Silver Side Up           Nickelback   \n",
       "14             Confessions (Expanded Edition)                USHER   \n",
       "15                                 Demon Days             Gorillaz   \n",
       "22                                 Parachutes             Coldplay   \n",
       "25                Speakerboxxx/The Love Below              Outkast   \n",
       "26                                 Graduation           Kanye West   \n",
       "27                                     Fallen          Evanescence   \n",
       "28                                      Loose        Nelly Furtado   \n",
       "29              Read My Lips (Deluxe Version)  Sophie Ellis-Bextor   \n",
       "36             Back To Black (Deluxe Edition)        Amy Winehouse   \n",
       "37                                     Let Go        Avril Lavigne   \n",
       "38                                      Loose        Nelly Furtado   \n",
       "41                   The Diary Of Alicia Keys          Alicia Keys   \n",
       "42                            Franz Ferdinand      Franz Ferdinand   \n",
       "45                                    Version          Mark Ronson   \n",
       "46                             Mail on Sunday             Flo Rida   \n",
       "48                           Drops Of Jupiter                Train   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "2    2004-08-30  259333          88      0.005840         0.706   0.800   \n",
       "7          2004  222973          87      0.001210         0.352   0.911   \n",
       "8    2004-11-12  250760          86      0.209000         0.637   0.678   \n",
       "10   2003-04-01  232106          85      0.003900         0.743   0.446   \n",
       "11   2008-05-26  242373          87      0.095400         0.486   0.617   \n",
       "12   2001-09-11  223840          85      0.001350         0.446   0.764   \n",
       "14   2004-03-23  250373          85      0.018300         0.894   0.791   \n",
       "15   2005-05-23  222640          85      0.008360         0.818   0.705   \n",
       "22   2000-07-10  227093          84      0.748000         0.371   0.268   \n",
       "25         2003  235213          83      0.103000         0.727   0.974   \n",
       "26   2007-09-11  237506          83      0.038100         0.639   0.628   \n",
       "27   2003-03-04  235893          83      0.007210         0.331   0.943   \n",
       "28   2006-01-01  242293          83      0.057300         0.808   0.970   \n",
       "29   2002-06-06  230013          83      0.002340         0.730   0.849   \n",
       "36         2006  241293          82      0.134000         0.434   0.422   \n",
       "37   2002-06-04  244506          82      0.057200         0.585   0.776   \n",
       "38   2006-01-01  258893          82      0.025800         0.796   0.778   \n",
       "41   2003-12-02  228706          82      0.603000         0.609   0.444   \n",
       "42   2004-02-16  237026          82      0.000409         0.277   0.663   \n",
       "45   2007-04-16  219413          82      0.002430         0.699   0.830   \n",
       "46   2008-03-17  231400          82      0.092800         0.918   0.609   \n",
       "48   2001-03-27  259933          82      0.153000         0.481   0.638   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "2           0.000000    0.0822    -6.333       0.0399  100.011   \n",
       "7           0.000000    0.0995    -5.230       0.0747  148.033   \n",
       "8           0.000000    0.1560    -3.798       0.2660   84.039   \n",
       "10          0.118000    0.3370    -7.807       0.0683  123.596   \n",
       "11          0.000003    0.1090    -7.115       0.0287  138.015   \n",
       "12          0.000000    0.0990    -5.042       0.0330  172.094   \n",
       "14          0.000000    0.0388    -4.699       0.1120  105.018   \n",
       "15          0.002330    0.6130    -6.679       0.1770  138.559   \n",
       "22          0.051700    0.1040   -10.506       0.0281  102.617   \n",
       "25          0.000532    0.1740    -2.261       0.0664   79.526   \n",
       "26          0.000000    0.3860    -7.578       0.0398   90.482   \n",
       "27          0.000002    0.2420    -3.188       0.0698   94.612   \n",
       "28          0.000062    0.1540    -6.098       0.0504  114.328   \n",
       "29          0.000026    0.3120    -5.281       0.0299  117.308   \n",
       "36          0.000021    0.0861   -13.964       0.0375  123.201   \n",
       "37          0.000008    0.3000    -5.898       0.0459   77.987   \n",
       "38          0.000386    0.1210    -4.810       0.0397  132.724   \n",
       "41          0.000007    0.1040    -9.129       0.1060  118.402   \n",
       "42          0.000510    0.1360    -8.821       0.0377  104.561   \n",
       "45          0.000240    0.0995    -4.898       0.0633  105.809   \n",
       "46          0.000000    0.1390    -5.640       0.0791  128.008   \n",
       "48          0.000000    0.1540    -5.862       0.0276   79.064   \n",
       "\n",
       "    time_signature  year  cluster3  \n",
       "2                4  2004         2  \n",
       "7                4  2004         2  \n",
       "8                4  2004         2  \n",
       "10               4  2003         2  \n",
       "11               4  2008         2  \n",
       "12               4  2001         2  \n",
       "14               4  2004         2  \n",
       "15               4  2005         2  \n",
       "22               3  2000         2  \n",
       "25               4  2003         2  \n",
       "26               4  2007         2  \n",
       "27               4  2003         2  \n",
       "28               4  2006         2  \n",
       "29               4  2002         2  \n",
       "36               4  2006         2  \n",
       "37               4  2002         2  \n",
       "38               4  2006         2  \n",
       "41               3  2003         2  \n",
       "42               4  2004         2  \n",
       "45               4  2007         2  \n",
       "46               4  2008         2  \n",
       "48               4  2001         2  "
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster_2 = df[df['cluster3']==2]\n",
    "cluster_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "id": "05727298",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x1500 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster_metrics = df[['length','popularity', 'acousticness', 'danceability', 'energy', 'instrumentalness',\n",
    "           'liveness', 'loudness', 'speechiness', 'tempo', 'time_signature','year']]\n",
    "\n",
    "# Set the style of seaborn\n",
    "sns.set(style=\"whitegrid\")\n",
    "\n",
    "# Create a figure and axes\n",
    "fig, axes = plt.subplots(nrows=4, ncols=3, figsize=(15, 15))\n",
    "\n",
    "# Flatten the axes array for easy iteration\n",
    "axes = axes.flatten()\n",
    "\n",
    "for i, metric in enumerate(cluster_metrics):\n",
    "    # Create a boxplot for each metric\n",
    "    sns.boxplot(x='cluster3', y=metric, data=df, ax=axes[i])\n",
    "    axes[i].set_title(f'{metric.capitalize()} by Cluster')\n",
    "    axes[i].set_ylabel(metric.capitalize())\n",
    "\n",
    "# Adjust layout\n",
    "plt.tight_layout()\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4541887d",
   "metadata": {},
   "source": [
    "### Improving K"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "dcbd4d0b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "78283415.11027291"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "kmeans.inertia_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "1a8c54a2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Elbow Method showing the optimal k')"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "K = range(2, 20)\n",
    "inertia = []\n",
    "\n",
    "for k in K:\n",
    "    kmeans = KMeans(n_clusters=k,\n",
    "                    random_state=0)\n",
    "    kmeans.fit(metrics)\n",
    "    inertia.append(kmeans.inertia_)\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "plt.figure(figsize=(16,8))\n",
    "plt.plot(K, inertia, 'bx-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('inertia')\n",
    "plt.xticks(np.arange(min(K), max(K)+1, 1.0))\n",
    "plt.title('Elbow Method showing the optimal k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "37c04731",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Elbow Method showing the optimal k')"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.metrics import silhouette_score\n",
    "K = range(2, 20)\n",
    "silhouette = []\n",
    "\n",
    "for k in K:\n",
    "    kmeans = KMeans(n_clusters=k,\n",
    "                    random_state=0)\n",
    "    kmeans.fit(metrics)\n",
    "    silhouette.append(silhouette_score(metrics, kmeans.predict(metrics)))\n",
    "\n",
    "\n",
    "plt.figure(figsize=(16,8))\n",
    "plt.plot(K, silhouette, 'bx-')\n",
    "plt.xlabel('k')\n",
    "plt.ylabel('silhouette score')\n",
    "plt.xticks(np.arange(min(K), max(K)+1, 1.0))\n",
    "plt.title('Elbow Method showing the optimal k')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "id": "49990877",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "      <th>cluster5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>I Wanna Be Yours</td>\n",
       "      <td>AM</td>\n",
       "      <td>Arctic Monkeys</td>\n",
       "      <td>2013-09-09</td>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.136000</td>\n",
       "      <td>0.464</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.022000</td>\n",
       "      <td>0.0974</td>\n",
       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>A Rush of Blood to the Head</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2002-08-27</td>\n",
       "      <td>309600</td>\n",
       "      <td>86</td>\n",
       "      <td>0.731000</td>\n",
       "      <td>0.557</td>\n",
       "      <td>0.442</td>\n",
       "      <td>0.000015</td>\n",
       "      <td>0.1100</td>\n",
       "      <td>-7.224</td>\n",
       "      <td>0.0243</td>\n",
       "      <td>146.277</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Natasha Bedingfield</td>\n",
       "      <td>2004-08-30</td>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Without Me</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>290320</td>\n",
       "      <td>88</td>\n",
       "      <td>0.002860</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.669</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2370</td>\n",
       "      <td>-2.827</td>\n",
       "      <td>0.0738</td>\n",
       "      <td>112.238</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hips Don't Lie (feat. Wyclef Jean)</td>\n",
       "      <td>Oral Fixation, Vol. 2 (Expanded Edition)</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>2005-11-28</td>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.284000</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>In the End</td>\n",
       "      <td>Hybrid Theory (Bonus Edition)</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2000</td>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.009580</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.002390</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Mr. Brightside</td>\n",
       "      <td>Hot Fuss</td>\n",
       "      <td>The Killers</td>\n",
       "      <td>2004</td>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.001210</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Mockingbird</td>\n",
       "      <td>Encore (Deluxe Version)</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2004-11-12</td>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hey, Soul Sister</td>\n",
       "      <td>Save Me, San Francisco (Golden Gate Edition)</td>\n",
       "      <td>Train</td>\n",
       "      <td>2010-12-01</td>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.185000</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Seven Nation Army</td>\n",
       "      <td>Elephant</td>\n",
       "      <td>The White Stripes</td>\n",
       "      <td>2003-04-01</td>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003900</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Viva La Vida</td>\n",
       "      <td>Viva La Vida or Death and All His Friends</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2008-05-26</td>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>How You Remind Me</td>\n",
       "      <td>Silver Side Up</td>\n",
       "      <td>Nickelback</td>\n",
       "      <td>2001-09-11</td>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.001350</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>The Real Slim Shady</td>\n",
       "      <td>The Marshall Mathers LP</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2000-05-23</td>\n",
       "      <td>284200</td>\n",
       "      <td>86</td>\n",
       "      <td>0.030200</td>\n",
       "      <td>0.949</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0454</td>\n",
       "      <td>-4.244</td>\n",
       "      <td>0.0572</td>\n",
       "      <td>104.504</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Yeah! (feat. Lil Jon &amp; Ludacris)</td>\n",
       "      <td>Confessions (Expanded Edition)</td>\n",
       "      <td>USHER</td>\n",
       "      <td>2004-03-23</td>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Feel Good Inc.</td>\n",
       "      <td>Demon Days</td>\n",
       "      <td>Gorillaz</td>\n",
       "      <td>2005-05-23</td>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.008360</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Numb</td>\n",
       "      <td>Meteora</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2003-09-16</td>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.003530</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Toxic</td>\n",
       "      <td>In The Zone</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>2003-11-13</td>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.024900</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Smack That</td>\n",
       "      <td>Konvicted</td>\n",
       "      <td>Akon</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.323000</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Sex on Fire</td>\n",
       "      <td>Only By The Night</td>\n",
       "      <td>Kings of Leon</td>\n",
       "      <td>2008-09-23</td>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.001720</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Can't Stop</td>\n",
       "      <td>By the Way (Deluxe Edition)</td>\n",
       "      <td>Red Hot Chili Peppers</td>\n",
       "      <td>2002-07-09</td>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.017900</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Heartless</td>\n",
       "      <td>808s &amp; Heartbreak</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2008-11-24</td>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.051500</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Sparks</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.748000</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>TiK ToK</td>\n",
       "      <td>Animal (Expanded Edition)</td>\n",
       "      <td>Kesha</td>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.099100</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Till I Collapse</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>297786</td>\n",
       "      <td>84</td>\n",
       "      <td>0.062200</td>\n",
       "      <td>0.548</td>\n",
       "      <td>0.847</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0816</td>\n",
       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
       "      <td>171.447</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Hey Ya!</td>\n",
       "      <td>Speakerboxxx/The Love Below</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2003</td>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Flashing Lights</td>\n",
       "      <td>Graduation</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2007-09-11</td>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Bring Me To Life</td>\n",
       "      <td>Fallen</td>\n",
       "      <td>Evanescence</td>\n",
       "      <td>2003-03-04</td>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Promiscuous</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Murder On The Dancefloor</td>\n",
       "      <td>Read My Lips (Deluxe Version)</td>\n",
       "      <td>Sophie Ellis-Bextor</td>\n",
       "      <td>2002-06-06</td>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.002340</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Gasolina</td>\n",
       "      <td>Barrio Fino (Bonus Track Version)</td>\n",
       "      <td>Daddy Yankee</td>\n",
       "      <td>2004-07-13</td>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.322000</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Ms. Jackson</td>\n",
       "      <td>Stankonia</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2000-10-31</td>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.143000</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0771</td>\n",
       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
       "      <td>94.948</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>This Love</td>\n",
       "      <td>Songs About Jane: 10th Anniversary Edition</td>\n",
       "      <td>Maroon 5</td>\n",
       "      <td>2002</td>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.052500</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Bad Romance</td>\n",
       "      <td>The Fame Monster (Deluxe Edition)</td>\n",
       "      <td>Lady Gaga</td>\n",
       "      <td>2009-11-05</td>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.003140</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
       "      <td>119.007</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>The Middle</td>\n",
       "      <td>Bleed American</td>\n",
       "      <td>Jimmy Eat World</td>\n",
       "      <td>2001-07-17</td>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.037100</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Fix You</td>\n",
       "      <td>X&amp;Y</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2005-06-07</td>\n",
       "      <td>295533</td>\n",
       "      <td>82</td>\n",
       "      <td>0.164000</td>\n",
       "      <td>0.209</td>\n",
       "      <td>0.417</td>\n",
       "      <td>0.001960</td>\n",
       "      <td>0.1130</td>\n",
       "      <td>-8.740</td>\n",
       "      <td>0.0338</td>\n",
       "      <td>138.178</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Back To Black</td>\n",
       "      <td>Back To Black (Deluxe Edition)</td>\n",
       "      <td>Amy Winehouse</td>\n",
       "      <td>2006</td>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Complicated</td>\n",
       "      <td>Let Go</td>\n",
       "      <td>Avril Lavigne</td>\n",
       "      <td>2002-06-04</td>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Maneater</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>The Way I Are</td>\n",
       "      <td>Shock Value</td>\n",
       "      <td>Timbaland</td>\n",
       "      <td>2007-01-01</td>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.181000</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Dile</td>\n",
       "      <td>The Last Don</td>\n",
       "      <td>Don Omar</td>\n",
       "      <td>2003-01-01</td>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.186000</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>If I Ain't Got You</td>\n",
       "      <td>The Diary Of Alicia Keys</td>\n",
       "      <td>Alicia Keys</td>\n",
       "      <td>2003-12-02</td>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.603000</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Take Me Out</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>2004-02-16</td>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>43</th>\n",
       "      <td>Superman</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>350320</td>\n",
       "      <td>82</td>\n",
       "      <td>0.021500</td>\n",
       "      <td>0.802</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2950</td>\n",
       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>You're Gonna Go Far, Kid</td>\n",
       "      <td>Rise And Fall, Rage And Grace</td>\n",
       "      <td>The Offspring</td>\n",
       "      <td>2008-06-17</td>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.004280</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Valerie (feat. Amy Winehouse) - Version Revisited</td>\n",
       "      <td>Version</td>\n",
       "      <td>Mark Ronson</td>\n",
       "      <td>2007-04-16</td>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.002430</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>Low (feat. T-Pain)</td>\n",
       "      <td>Mail on Sunday</td>\n",
       "      <td>Flo Rida</td>\n",
       "      <td>2008-03-17</td>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.092800</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>Duvet</td>\n",
       "      <td>Twilight</td>\n",
       "      <td>bôa</td>\n",
       "      <td>2010-04-20</td>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.191000</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Drops of Jupiter (Tell Me)</td>\n",
       "      <td>Drops Of Jupiter</td>\n",
       "      <td>Train</td>\n",
       "      <td>2001-03-27</td>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>I Gotta Feeling</td>\n",
       "      <td>THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...</td>\n",
       "      <td>Black Eyed Peas</td>\n",
       "      <td>2009-01-01</td>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.087300</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 name  \\\n",
       "0                                    I Wanna Be Yours   \n",
       "1                                       The Scientist   \n",
       "2                                           Unwritten   \n",
       "3                                          Without Me   \n",
       "4                  Hips Don't Lie (feat. Wyclef Jean)   \n",
       "5                                          In the End   \n",
       "6                                              Yellow   \n",
       "7                                      Mr. Brightside   \n",
       "8                                         Mockingbird   \n",
       "9                                    Hey, Soul Sister   \n",
       "10                                  Seven Nation Army   \n",
       "11                                       Viva La Vida   \n",
       "12                                  How You Remind Me   \n",
       "13                                The Real Slim Shady   \n",
       "14                   Yeah! (feat. Lil Jon & Ludacris)   \n",
       "15                                     Feel Good Inc.   \n",
       "16                                               Numb   \n",
       "17                                              Toxic   \n",
       "18                                         Smack That   \n",
       "19                                        Sex on Fire   \n",
       "20                                         Can't Stop   \n",
       "21                                          Heartless   \n",
       "22                                             Sparks   \n",
       "23                                            TiK ToK   \n",
       "24                                    Till I Collapse   \n",
       "25                                            Hey Ya!   \n",
       "26                                    Flashing Lights   \n",
       "27                                   Bring Me To Life   \n",
       "28                                        Promiscuous   \n",
       "29                           Murder On The Dancefloor   \n",
       "30                                           Gasolina   \n",
       "31                                        Ms. Jackson   \n",
       "32                                          This Love   \n",
       "33                                        Bad Romance   \n",
       "34                                         The Middle   \n",
       "35                                            Fix You   \n",
       "36                                      Back To Black   \n",
       "37                                        Complicated   \n",
       "38                                           Maneater   \n",
       "39                                      The Way I Are   \n",
       "40                                               Dile   \n",
       "41                                 If I Ain't Got You   \n",
       "42                                        Take Me Out   \n",
       "43                                           Superman   \n",
       "44                           You're Gonna Go Far, Kid   \n",
       "45  Valerie (feat. Amy Winehouse) - Version Revisited   \n",
       "46                                 Low (feat. T-Pain)   \n",
       "47                                              Duvet   \n",
       "48                         Drops of Jupiter (Tell Me)   \n",
       "49                                    I Gotta Feeling   \n",
       "\n",
       "                                                album                 artist  \\\n",
       "0                                                  AM         Arctic Monkeys   \n",
       "1                         A Rush of Blood to the Head               Coldplay   \n",
       "2                                           Unwritten    Natasha Bedingfield   \n",
       "3                                     The Eminem Show                 Eminem   \n",
       "4            Oral Fixation, Vol. 2 (Expanded Edition)                Shakira   \n",
       "5                       Hybrid Theory (Bonus Edition)            Linkin Park   \n",
       "6                                          Parachutes               Coldplay   \n",
       "7                                            Hot Fuss            The Killers   \n",
       "8                             Encore (Deluxe Version)                 Eminem   \n",
       "9        Save Me, San Francisco (Golden Gate Edition)                  Train   \n",
       "10                                           Elephant      The White Stripes   \n",
       "11          Viva La Vida or Death and All His Friends               Coldplay   \n",
       "12                                     Silver Side Up             Nickelback   \n",
       "13                            The Marshall Mathers LP                 Eminem   \n",
       "14                     Confessions (Expanded Edition)                  USHER   \n",
       "15                                         Demon Days               Gorillaz   \n",
       "16                                            Meteora            Linkin Park   \n",
       "17                                        In The Zone         Britney Spears   \n",
       "18                                          Konvicted                   Akon   \n",
       "19                                  Only By The Night          Kings of Leon   \n",
       "20                        By the Way (Deluxe Edition)  Red Hot Chili Peppers   \n",
       "21                                  808s & Heartbreak             Kanye West   \n",
       "22                                         Parachutes               Coldplay   \n",
       "23                          Animal (Expanded Edition)                  Kesha   \n",
       "24                                    The Eminem Show                 Eminem   \n",
       "25                        Speakerboxxx/The Love Below                Outkast   \n",
       "26                                         Graduation             Kanye West   \n",
       "27                                             Fallen            Evanescence   \n",
       "28                                              Loose          Nelly Furtado   \n",
       "29                      Read My Lips (Deluxe Version)    Sophie Ellis-Bextor   \n",
       "30                  Barrio Fino (Bonus Track Version)           Daddy Yankee   \n",
       "31                                          Stankonia                Outkast   \n",
       "32         Songs About Jane: 10th Anniversary Edition               Maroon 5   \n",
       "33                  The Fame Monster (Deluxe Edition)              Lady Gaga   \n",
       "34                                     Bleed American        Jimmy Eat World   \n",
       "35                                                X&Y               Coldplay   \n",
       "36                     Back To Black (Deluxe Edition)          Amy Winehouse   \n",
       "37                                             Let Go          Avril Lavigne   \n",
       "38                                              Loose          Nelly Furtado   \n",
       "39                                        Shock Value              Timbaland   \n",
       "40                                       The Last Don               Don Omar   \n",
       "41                           The Diary Of Alicia Keys            Alicia Keys   \n",
       "42                                    Franz Ferdinand        Franz Ferdinand   \n",
       "43                                    The Eminem Show                 Eminem   \n",
       "44                      Rise And Fall, Rage And Grace          The Offspring   \n",
       "45                                            Version            Mark Ronson   \n",
       "46                                     Mail on Sunday               Flo Rida   \n",
       "47                                           Twilight                    bôa   \n",
       "48                                   Drops Of Jupiter                  Train   \n",
       "49  THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...        Black Eyed Peas   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "0    2013-09-09  183956          91      0.136000         0.464   0.417   \n",
       "1    2002-08-27  309600          86      0.731000         0.557   0.442   \n",
       "2    2004-08-30  259333          88      0.005840         0.706   0.800   \n",
       "3    2002-05-26  290320          88      0.002860         0.908   0.669   \n",
       "4    2005-11-28  218093          87      0.284000         0.778   0.824   \n",
       "5          2000  216880          87      0.009580         0.556   0.864   \n",
       "6    2000-07-10  266773          89      0.002390         0.429   0.661   \n",
       "7          2004  222973          87      0.001210         0.352   0.911   \n",
       "8    2004-11-12  250760          86      0.209000         0.637   0.678   \n",
       "9    2010-12-01  216773          85      0.185000         0.673   0.886   \n",
       "10   2003-04-01  232106          85      0.003900         0.743   0.446   \n",
       "11   2008-05-26  242373          87      0.095400         0.486   0.617   \n",
       "12   2001-09-11  223840          85      0.001350         0.446   0.764   \n",
       "13   2000-05-23  284200          86      0.030200         0.949   0.661   \n",
       "14   2004-03-23  250373          85      0.018300         0.894   0.791   \n",
       "15   2005-05-23  222640          85      0.008360         0.818   0.705   \n",
       "16   2003-09-16  187520          85      0.003530         0.488   0.870   \n",
       "17   2003-11-13  198800          85      0.024900         0.774   0.838   \n",
       "18   2006-01-01  212360          84      0.323000         0.939   0.741   \n",
       "19   2008-09-23  203346          84      0.001720         0.542   0.905   \n",
       "20   2002-07-09  269000          84      0.017900         0.618   0.938   \n",
       "21   2008-11-24  211000          84      0.051500         0.790   0.647   \n",
       "22   2000-07-10  227093          84      0.748000         0.371   0.268   \n",
       "23   2010-01-01  199693          84      0.099100         0.755   0.837   \n",
       "24   2002-05-26  297786          84      0.062200         0.548   0.847   \n",
       "25         2003  235213          83      0.103000         0.727   0.974   \n",
       "26   2007-09-11  237506          83      0.038100         0.639   0.628   \n",
       "27   2003-03-04  235893          83      0.007210         0.331   0.943   \n",
       "28   2006-01-01  242293          83      0.057300         0.808   0.970   \n",
       "29   2002-06-06  230013          83      0.002340         0.730   0.849   \n",
       "30   2004-07-13  192600          83      0.322000         0.852   0.797   \n",
       "31   2000-10-31  270506          83      0.143000         0.843   0.806   \n",
       "32         2002  206200          83      0.052500         0.712   0.862   \n",
       "33   2009-11-05  294573          82      0.003140         0.695   0.921   \n",
       "34   2001-07-17  165853          82      0.037100         0.643   0.849   \n",
       "35   2005-06-07  295533          82      0.164000         0.209   0.417   \n",
       "36         2006  241293          82      0.134000         0.434   0.422   \n",
       "37   2002-06-04  244506          82      0.057200         0.585   0.776   \n",
       "38   2006-01-01  258893          82      0.025800         0.796   0.778   \n",
       "39   2007-01-01  179120          82      0.181000         0.729   0.807   \n",
       "40   2003-01-01  204600          82      0.186000         0.822   0.713   \n",
       "41   2003-12-02  228706          82      0.603000         0.609   0.444   \n",
       "42   2004-02-16  237026          82      0.000409         0.277   0.663   \n",
       "43   2002-05-26  350320          82      0.021500         0.802   0.755   \n",
       "44   2008-06-17  177826          82      0.004280         0.550   0.917   \n",
       "45   2007-04-16  219413          82      0.002430         0.699   0.830   \n",
       "46   2008-03-17  231400          82      0.092800         0.918   0.609   \n",
       "47   2010-04-20  203600          82      0.191000         0.583   0.888   \n",
       "48   2001-03-27  259933          82      0.153000         0.481   0.638   \n",
       "49   2009-01-01  289133          81      0.087300         0.744   0.766   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "0           0.022000    0.0974    -9.345       0.0256   67.528   \n",
       "1           0.000015    0.1100    -7.224       0.0243  146.277   \n",
       "2           0.000000    0.0822    -6.333       0.0399  100.011   \n",
       "3           0.000000    0.2370    -2.827       0.0738  112.238   \n",
       "4           0.000000    0.4050    -5.892       0.0707  100.024   \n",
       "5           0.000000    0.2090    -5.870       0.0584  105.143   \n",
       "6           0.000121    0.2340    -7.227       0.0281  173.372   \n",
       "7           0.000000    0.0995    -5.230       0.0747  148.033   \n",
       "8           0.000000    0.1560    -3.798       0.2660   84.039   \n",
       "9           0.000000    0.0826    -4.440       0.0431   97.012   \n",
       "10          0.118000    0.3370    -7.807       0.0683  123.596   \n",
       "11          0.000003    0.1090    -7.115       0.0287  138.015   \n",
       "12          0.000000    0.0990    -5.042       0.0330  172.094   \n",
       "13          0.000000    0.0454    -4.244       0.0572  104.504   \n",
       "14          0.000000    0.0388    -4.699       0.1120  105.018   \n",
       "15          0.002330    0.6130    -6.679       0.1770  138.559   \n",
       "16          0.000000    0.4840    -4.185       0.0421  110.072   \n",
       "17          0.025000    0.2420    -3.914       0.1140  143.040   \n",
       "18          0.000000    0.1070    -5.171       0.0471  118.978   \n",
       "19          0.010400    0.1360    -5.653       0.0540  153.398   \n",
       "20          0.000000    0.1670    -3.442       0.0456   91.455   \n",
       "21          0.000000    0.2480    -5.983       0.1360   87.999   \n",
       "22          0.051700    0.1040   -10.506       0.0281  102.617   \n",
       "23          0.000000    0.2890    -2.718       0.1420  120.028   \n",
       "24          0.000000    0.0816    -3.237       0.1860  171.447   \n",
       "25          0.000532    0.1740    -2.261       0.0664   79.526   \n",
       "26          0.000000    0.3860    -7.578       0.0398   90.482   \n",
       "27          0.000002    0.2420    -3.188       0.0698   94.612   \n",
       "28          0.000062    0.1540    -6.098       0.0504  114.328   \n",
       "29          0.000026    0.3120    -5.281       0.0299  117.308   \n",
       "30          0.000003    0.0845    -6.543       0.0614   96.008   \n",
       "31          0.000000    0.0771    -5.946       0.2690   94.948   \n",
       "32          0.000000    0.0930    -4.612       0.0378   95.051   \n",
       "33          0.000053    0.0842    -3.752       0.0363  119.007   \n",
       "34          0.000000    0.0580    -5.428       0.0526  162.152   \n",
       "35          0.001960    0.1130    -8.740       0.0338  138.178   \n",
       "36          0.000021    0.0861   -13.964       0.0375  123.201   \n",
       "37          0.000008    0.3000    -5.898       0.0459   77.987   \n",
       "38          0.000386    0.1210    -4.810       0.0397  132.724   \n",
       "39          0.750000    0.3190    -6.492       0.0936  114.742   \n",
       "40          0.000130    0.0431    -7.501       0.1220   94.034   \n",
       "41          0.000007    0.1040    -9.129       0.1060  118.402   \n",
       "42          0.000510    0.1360    -8.821       0.0377  104.561   \n",
       "43          0.000000    0.2950    -3.138       0.0564  130.027   \n",
       "44          0.000000    0.1970    -3.159       0.0638  126.115   \n",
       "45          0.000240    0.0995    -4.898       0.0633  105.809   \n",
       "46          0.000000    0.1390    -5.640       0.0791  128.008   \n",
       "47          0.000046    0.0936    -9.414       0.0349   93.206   \n",
       "48          0.000000    0.1540    -5.862       0.0276   79.064   \n",
       "49          0.000000    0.5090    -6.375       0.0265  127.966   \n",
       "\n",
       "    time_signature  year  cluster3  cluster5  \n",
       "0                4  2013         0         1  \n",
       "1                4  2002         1         2  \n",
       "2                4  2004         2         0  \n",
       "3                4  2002         1         2  \n",
       "4                4  2005         0         4  \n",
       "5                4  2000         0         4  \n",
       "6                4  2000         1         0  \n",
       "7                4  2004         2         4  \n",
       "8                4  2004         2         0  \n",
       "9                4  2010         0         4  \n",
       "10               4  2003         2         4  \n",
       "11               4  2008         2         0  \n",
       "12               4  2001         2         4  \n",
       "13               4  2000         1         2  \n",
       "14               4  2004         2         0  \n",
       "15               4  2005         2         4  \n",
       "16               4  2003         0         1  \n",
       "17               4  2003         0         1  \n",
       "18               4  2006         0         4  \n",
       "19               4  2008         0         1  \n",
       "20               4  2002         1         2  \n",
       "21               4  2008         0         4  \n",
       "22               3  2000         2         4  \n",
       "23               4  2010         0         1  \n",
       "24               4  2002         1         2  \n",
       "25               4  2003         2         0  \n",
       "26               4  2007         2         0  \n",
       "27               4  2003         2         0  \n",
       "28               4  2006         2         0  \n",
       "29               4  2002         2         4  \n",
       "30               4  2004         0         1  \n",
       "31               4  2000         1         2  \n",
       "32               4  2002         0         1  \n",
       "33               4  2009         1         2  \n",
       "34               4  2001         0         1  \n",
       "35               4  2005         1         2  \n",
       "36               4  2006         2         0  \n",
       "37               4  2002         2         0  \n",
       "38               4  2006         2         0  \n",
       "39               4  2007         0         1  \n",
       "40               4  2003         0         1  \n",
       "41               3  2003         2         4  \n",
       "42               4  2004         2         0  \n",
       "43               4  2002         1         3  \n",
       "44               4  2008         0         1  \n",
       "45               4  2007         2         4  \n",
       "46               4  2008         2         4  \n",
       "47               4  2010         0         1  \n",
       "48               4  2001         2         0  \n",
       "49               4  2009         1         2  "
      ]
     },
     "execution_count": 104,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 7 ou 5\n",
    "\n",
    "from sklearn import cluster, datasets\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from matplotlib.lines import Line2D\n",
    "\n",
    "kmeans5 = cluster.KMeans(n_clusters=5)\n",
    "kmeans5.fit(metrics)\n",
    "pred5 = kmeans5.predict(metrics)\n",
    "\n",
    "df['cluster5']=pred5\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "50c7c4e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x1000 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cluster_metrics = df[['length','popularity', 'acousticness', 'danceability', 'energy', 'instrumentalness',\n",
    "           'liveness', 'loudness', 'speechiness', 'tempo', 'time_signature','year']]\n",
    "\n",
    "# Set the style of seaborn\n",
    "sns.set(style=\"whitegrid\")\n",
    "\n",
    "# Create a figure and axes\n",
    "fig, axes = plt.subplots(nrows=3, ncols=4, figsize=(10, 10))\n",
    "\n",
    "# Flatten the axes array for easy iteration\n",
    "axes = axes.flatten()\n",
    "\n",
    "for i, metric in enumerate(cluster_metrics):\n",
    "    # Create a boxplot for each metric\n",
    "    sns.boxplot(x='cluster5', y=metric, data=df, ax=axes[i])\n",
    "    axes[i].set_title(f'{metric.capitalize()} by Cluster')\n",
    "    axes[i].set_ylabel(metric.capitalize())\n",
    "\n",
    "# Adjust layout\n",
    "plt.tight_layout()\n",
    "\n",
    "# Show the plot\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "id": "e27bacb9",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "      <th>cluster5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Unwritten</td>\n",
       "      <td>Natasha Bedingfield</td>\n",
       "      <td>2004-08-30</td>\n",
       "      <td>259333</td>\n",
       "      <td>88</td>\n",
       "      <td>0.005840</td>\n",
       "      <td>0.706</td>\n",
       "      <td>0.800</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0822</td>\n",
       "      <td>-6.333</td>\n",
       "      <td>0.0399</td>\n",
       "      <td>100.011</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Yellow</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>266773</td>\n",
       "      <td>89</td>\n",
       "      <td>0.002390</td>\n",
       "      <td>0.429</td>\n",
       "      <td>0.661</td>\n",
       "      <td>0.000121</td>\n",
       "      <td>0.2340</td>\n",
       "      <td>-7.227</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>173.372</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Mockingbird</td>\n",
       "      <td>Encore (Deluxe Version)</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2004-11-12</td>\n",
       "      <td>250760</td>\n",
       "      <td>86</td>\n",
       "      <td>0.209000</td>\n",
       "      <td>0.637</td>\n",
       "      <td>0.678</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1560</td>\n",
       "      <td>-3.798</td>\n",
       "      <td>0.2660</td>\n",
       "      <td>84.039</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>Viva La Vida</td>\n",
       "      <td>Viva La Vida or Death and All His Friends</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2008-05-26</td>\n",
       "      <td>242373</td>\n",
       "      <td>87</td>\n",
       "      <td>0.095400</td>\n",
       "      <td>0.486</td>\n",
       "      <td>0.617</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.1090</td>\n",
       "      <td>-7.115</td>\n",
       "      <td>0.0287</td>\n",
       "      <td>138.015</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>Yeah! (feat. Lil Jon &amp; Ludacris)</td>\n",
       "      <td>Confessions (Expanded Edition)</td>\n",
       "      <td>USHER</td>\n",
       "      <td>2004-03-23</td>\n",
       "      <td>250373</td>\n",
       "      <td>85</td>\n",
       "      <td>0.018300</td>\n",
       "      <td>0.894</td>\n",
       "      <td>0.791</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0388</td>\n",
       "      <td>-4.699</td>\n",
       "      <td>0.1120</td>\n",
       "      <td>105.018</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25</th>\n",
       "      <td>Hey Ya!</td>\n",
       "      <td>Speakerboxxx/The Love Below</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2003</td>\n",
       "      <td>235213</td>\n",
       "      <td>83</td>\n",
       "      <td>0.103000</td>\n",
       "      <td>0.727</td>\n",
       "      <td>0.974</td>\n",
       "      <td>0.000532</td>\n",
       "      <td>0.1740</td>\n",
       "      <td>-2.261</td>\n",
       "      <td>0.0664</td>\n",
       "      <td>79.526</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>26</th>\n",
       "      <td>Flashing Lights</td>\n",
       "      <td>Graduation</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2007-09-11</td>\n",
       "      <td>237506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.038100</td>\n",
       "      <td>0.639</td>\n",
       "      <td>0.628</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.3860</td>\n",
       "      <td>-7.578</td>\n",
       "      <td>0.0398</td>\n",
       "      <td>90.482</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>27</th>\n",
       "      <td>Bring Me To Life</td>\n",
       "      <td>Fallen</td>\n",
       "      <td>Evanescence</td>\n",
       "      <td>2003-03-04</td>\n",
       "      <td>235893</td>\n",
       "      <td>83</td>\n",
       "      <td>0.007210</td>\n",
       "      <td>0.331</td>\n",
       "      <td>0.943</td>\n",
       "      <td>0.000002</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.188</td>\n",
       "      <td>0.0698</td>\n",
       "      <td>94.612</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>28</th>\n",
       "      <td>Promiscuous</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>242293</td>\n",
       "      <td>83</td>\n",
       "      <td>0.057300</td>\n",
       "      <td>0.808</td>\n",
       "      <td>0.970</td>\n",
       "      <td>0.000062</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-6.098</td>\n",
       "      <td>0.0504</td>\n",
       "      <td>114.328</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>36</th>\n",
       "      <td>Back To Black</td>\n",
       "      <td>Back To Black (Deluxe Edition)</td>\n",
       "      <td>Amy Winehouse</td>\n",
       "      <td>2006</td>\n",
       "      <td>241293</td>\n",
       "      <td>82</td>\n",
       "      <td>0.134000</td>\n",
       "      <td>0.434</td>\n",
       "      <td>0.422</td>\n",
       "      <td>0.000021</td>\n",
       "      <td>0.0861</td>\n",
       "      <td>-13.964</td>\n",
       "      <td>0.0375</td>\n",
       "      <td>123.201</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>37</th>\n",
       "      <td>Complicated</td>\n",
       "      <td>Let Go</td>\n",
       "      <td>Avril Lavigne</td>\n",
       "      <td>2002-06-04</td>\n",
       "      <td>244506</td>\n",
       "      <td>82</td>\n",
       "      <td>0.057200</td>\n",
       "      <td>0.585</td>\n",
       "      <td>0.776</td>\n",
       "      <td>0.000008</td>\n",
       "      <td>0.3000</td>\n",
       "      <td>-5.898</td>\n",
       "      <td>0.0459</td>\n",
       "      <td>77.987</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>38</th>\n",
       "      <td>Maneater</td>\n",
       "      <td>Loose</td>\n",
       "      <td>Nelly Furtado</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>258893</td>\n",
       "      <td>82</td>\n",
       "      <td>0.025800</td>\n",
       "      <td>0.796</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.000386</td>\n",
       "      <td>0.1210</td>\n",
       "      <td>-4.810</td>\n",
       "      <td>0.0397</td>\n",
       "      <td>132.724</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>42</th>\n",
       "      <td>Take Me Out</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>Franz Ferdinand</td>\n",
       "      <td>2004-02-16</td>\n",
       "      <td>237026</td>\n",
       "      <td>82</td>\n",
       "      <td>0.000409</td>\n",
       "      <td>0.277</td>\n",
       "      <td>0.663</td>\n",
       "      <td>0.000510</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-8.821</td>\n",
       "      <td>0.0377</td>\n",
       "      <td>104.561</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>48</th>\n",
       "      <td>Drops of Jupiter (Tell Me)</td>\n",
       "      <td>Drops Of Jupiter</td>\n",
       "      <td>Train</td>\n",
       "      <td>2001-03-27</td>\n",
       "      <td>259933</td>\n",
       "      <td>82</td>\n",
       "      <td>0.153000</td>\n",
       "      <td>0.481</td>\n",
       "      <td>0.638</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1540</td>\n",
       "      <td>-5.862</td>\n",
       "      <td>0.0276</td>\n",
       "      <td>79.064</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                name  \\\n",
       "2                          Unwritten   \n",
       "6                             Yellow   \n",
       "8                        Mockingbird   \n",
       "11                      Viva La Vida   \n",
       "14  Yeah! (feat. Lil Jon & Ludacris)   \n",
       "25                           Hey Ya!   \n",
       "26                   Flashing Lights   \n",
       "27                  Bring Me To Life   \n",
       "28                       Promiscuous   \n",
       "36                     Back To Black   \n",
       "37                       Complicated   \n",
       "38                          Maneater   \n",
       "42                       Take Me Out   \n",
       "48        Drops of Jupiter (Tell Me)   \n",
       "\n",
       "                                        album               artist  \\\n",
       "2                                   Unwritten  Natasha Bedingfield   \n",
       "6                                  Parachutes             Coldplay   \n",
       "8                     Encore (Deluxe Version)               Eminem   \n",
       "11  Viva La Vida or Death and All His Friends             Coldplay   \n",
       "14             Confessions (Expanded Edition)                USHER   \n",
       "25                Speakerboxxx/The Love Below              Outkast   \n",
       "26                                 Graduation           Kanye West   \n",
       "27                                     Fallen          Evanescence   \n",
       "28                                      Loose        Nelly Furtado   \n",
       "36             Back To Black (Deluxe Edition)        Amy Winehouse   \n",
       "37                                     Let Go        Avril Lavigne   \n",
       "38                                      Loose        Nelly Furtado   \n",
       "42                            Franz Ferdinand      Franz Ferdinand   \n",
       "48                           Drops Of Jupiter                Train   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "2    2004-08-30  259333          88      0.005840         0.706   0.800   \n",
       "6    2000-07-10  266773          89      0.002390         0.429   0.661   \n",
       "8    2004-11-12  250760          86      0.209000         0.637   0.678   \n",
       "11   2008-05-26  242373          87      0.095400         0.486   0.617   \n",
       "14   2004-03-23  250373          85      0.018300         0.894   0.791   \n",
       "25         2003  235213          83      0.103000         0.727   0.974   \n",
       "26   2007-09-11  237506          83      0.038100         0.639   0.628   \n",
       "27   2003-03-04  235893          83      0.007210         0.331   0.943   \n",
       "28   2006-01-01  242293          83      0.057300         0.808   0.970   \n",
       "36         2006  241293          82      0.134000         0.434   0.422   \n",
       "37   2002-06-04  244506          82      0.057200         0.585   0.776   \n",
       "38   2006-01-01  258893          82      0.025800         0.796   0.778   \n",
       "42   2004-02-16  237026          82      0.000409         0.277   0.663   \n",
       "48   2001-03-27  259933          82      0.153000         0.481   0.638   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "2           0.000000    0.0822    -6.333       0.0399  100.011   \n",
       "6           0.000121    0.2340    -7.227       0.0281  173.372   \n",
       "8           0.000000    0.1560    -3.798       0.2660   84.039   \n",
       "11          0.000003    0.1090    -7.115       0.0287  138.015   \n",
       "14          0.000000    0.0388    -4.699       0.1120  105.018   \n",
       "25          0.000532    0.1740    -2.261       0.0664   79.526   \n",
       "26          0.000000    0.3860    -7.578       0.0398   90.482   \n",
       "27          0.000002    0.2420    -3.188       0.0698   94.612   \n",
       "28          0.000062    0.1540    -6.098       0.0504  114.328   \n",
       "36          0.000021    0.0861   -13.964       0.0375  123.201   \n",
       "37          0.000008    0.3000    -5.898       0.0459   77.987   \n",
       "38          0.000386    0.1210    -4.810       0.0397  132.724   \n",
       "42          0.000510    0.1360    -8.821       0.0377  104.561   \n",
       "48          0.000000    0.1540    -5.862       0.0276   79.064   \n",
       "\n",
       "    time_signature  year  cluster3  cluster5  \n",
       "2                4  2004         2         0  \n",
       "6                4  2000         1         0  \n",
       "8                4  2004         2         0  \n",
       "11               4  2008         2         0  \n",
       "14               4  2004         2         0  \n",
       "25               4  2003         2         0  \n",
       "26               4  2007         2         0  \n",
       "27               4  2003         2         0  \n",
       "28               4  2006         2         0  \n",
       "36               4  2006         2         0  \n",
       "37               4  2002         2         0  \n",
       "38               4  2006         2         0  \n",
       "42               4  2004         2         0  \n",
       "48               4  2001         2         0  "
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster5_0= df[df['cluster5']==0]\n",
    "cluster5_0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "f184dda1",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
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       "      <th>cluster3</th>\n",
       "      <th>cluster5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>I Wanna Be Yours</td>\n",
       "      <td>AM</td>\n",
       "      <td>Arctic Monkeys</td>\n",
       "      <td>2013-09-09</td>\n",
       "      <td>183956</td>\n",
       "      <td>91</td>\n",
       "      <td>0.13600</td>\n",
       "      <td>0.464</td>\n",
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       "      <td>0.0974</td>\n",
       "      <td>-9.345</td>\n",
       "      <td>0.0256</td>\n",
       "      <td>67.528</td>\n",
       "      <td>4</td>\n",
       "      <td>2013</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>Numb</td>\n",
       "      <td>Meteora</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2003-09-16</td>\n",
       "      <td>187520</td>\n",
       "      <td>85</td>\n",
       "      <td>0.00353</td>\n",
       "      <td>0.488</td>\n",
       "      <td>0.870</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4840</td>\n",
       "      <td>-4.185</td>\n",
       "      <td>0.0421</td>\n",
       "      <td>110.072</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>Toxic</td>\n",
       "      <td>In The Zone</td>\n",
       "      <td>Britney Spears</td>\n",
       "      <td>2003-11-13</td>\n",
       "      <td>198800</td>\n",
       "      <td>85</td>\n",
       "      <td>0.02490</td>\n",
       "      <td>0.774</td>\n",
       "      <td>0.838</td>\n",
       "      <td>0.025000</td>\n",
       "      <td>0.2420</td>\n",
       "      <td>-3.914</td>\n",
       "      <td>0.1140</td>\n",
       "      <td>143.040</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>Sex on Fire</td>\n",
       "      <td>Only By The Night</td>\n",
       "      <td>Kings of Leon</td>\n",
       "      <td>2008-09-23</td>\n",
       "      <td>203346</td>\n",
       "      <td>84</td>\n",
       "      <td>0.00172</td>\n",
       "      <td>0.542</td>\n",
       "      <td>0.905</td>\n",
       "      <td>0.010400</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>-5.653</td>\n",
       "      <td>0.0540</td>\n",
       "      <td>153.398</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>23</th>\n",
       "      <td>TiK ToK</td>\n",
       "      <td>Animal (Expanded Edition)</td>\n",
       "      <td>Kesha</td>\n",
       "      <td>2010-01-01</td>\n",
       "      <td>199693</td>\n",
       "      <td>84</td>\n",
       "      <td>0.09910</td>\n",
       "      <td>0.755</td>\n",
       "      <td>0.837</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2890</td>\n",
       "      <td>-2.718</td>\n",
       "      <td>0.1420</td>\n",
       "      <td>120.028</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>30</th>\n",
       "      <td>Gasolina</td>\n",
       "      <td>Barrio Fino (Bonus Track Version)</td>\n",
       "      <td>Daddy Yankee</td>\n",
       "      <td>2004-07-13</td>\n",
       "      <td>192600</td>\n",
       "      <td>83</td>\n",
       "      <td>0.32200</td>\n",
       "      <td>0.852</td>\n",
       "      <td>0.797</td>\n",
       "      <td>0.000003</td>\n",
       "      <td>0.0845</td>\n",
       "      <td>-6.543</td>\n",
       "      <td>0.0614</td>\n",
       "      <td>96.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>32</th>\n",
       "      <td>This Love</td>\n",
       "      <td>Songs About Jane: 10th Anniversary Edition</td>\n",
       "      <td>Maroon 5</td>\n",
       "      <td>2002</td>\n",
       "      <td>206200</td>\n",
       "      <td>83</td>\n",
       "      <td>0.05250</td>\n",
       "      <td>0.712</td>\n",
       "      <td>0.862</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0930</td>\n",
       "      <td>-4.612</td>\n",
       "      <td>0.0378</td>\n",
       "      <td>95.051</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>34</th>\n",
       "      <td>The Middle</td>\n",
       "      <td>Bleed American</td>\n",
       "      <td>Jimmy Eat World</td>\n",
       "      <td>2001-07-17</td>\n",
       "      <td>165853</td>\n",
       "      <td>82</td>\n",
       "      <td>0.03710</td>\n",
       "      <td>0.643</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0580</td>\n",
       "      <td>-5.428</td>\n",
       "      <td>0.0526</td>\n",
       "      <td>162.152</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>39</th>\n",
       "      <td>The Way I Are</td>\n",
       "      <td>Shock Value</td>\n",
       "      <td>Timbaland</td>\n",
       "      <td>2007-01-01</td>\n",
       "      <td>179120</td>\n",
       "      <td>82</td>\n",
       "      <td>0.18100</td>\n",
       "      <td>0.729</td>\n",
       "      <td>0.807</td>\n",
       "      <td>0.750000</td>\n",
       "      <td>0.3190</td>\n",
       "      <td>-6.492</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>114.742</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>40</th>\n",
       "      <td>Dile</td>\n",
       "      <td>The Last Don</td>\n",
       "      <td>Don Omar</td>\n",
       "      <td>2003-01-01</td>\n",
       "      <td>204600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.18600</td>\n",
       "      <td>0.822</td>\n",
       "      <td>0.713</td>\n",
       "      <td>0.000130</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>-7.501</td>\n",
       "      <td>0.1220</td>\n",
       "      <td>94.034</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>44</th>\n",
       "      <td>You're Gonna Go Far, Kid</td>\n",
       "      <td>Rise And Fall, Rage And Grace</td>\n",
       "      <td>The Offspring</td>\n",
       "      <td>2008-06-17</td>\n",
       "      <td>177826</td>\n",
       "      <td>82</td>\n",
       "      <td>0.00428</td>\n",
       "      <td>0.550</td>\n",
       "      <td>0.917</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1970</td>\n",
       "      <td>-3.159</td>\n",
       "      <td>0.0638</td>\n",
       "      <td>126.115</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>47</th>\n",
       "      <td>Duvet</td>\n",
       "      <td>Twilight</td>\n",
       "      <td>bôa</td>\n",
       "      <td>2010-04-20</td>\n",
       "      <td>203600</td>\n",
       "      <td>82</td>\n",
       "      <td>0.19100</td>\n",
       "      <td>0.583</td>\n",
       "      <td>0.888</td>\n",
       "      <td>0.000046</td>\n",
       "      <td>0.0936</td>\n",
       "      <td>-9.414</td>\n",
       "      <td>0.0349</td>\n",
       "      <td>93.206</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        name                                       album  \\\n",
       "0           I Wanna Be Yours                                          AM   \n",
       "16                      Numb                                     Meteora   \n",
       "17                     Toxic                                 In The Zone   \n",
       "19               Sex on Fire                           Only By The Night   \n",
       "23                   TiK ToK                   Animal (Expanded Edition)   \n",
       "30                  Gasolina           Barrio Fino (Bonus Track Version)   \n",
       "32                 This Love  Songs About Jane: 10th Anniversary Edition   \n",
       "34                The Middle                              Bleed American   \n",
       "39             The Way I Are                                 Shock Value   \n",
       "40                      Dile                                The Last Don   \n",
       "44  You're Gonna Go Far, Kid               Rise And Fall, Rage And Grace   \n",
       "47                     Duvet                                    Twilight   \n",
       "\n",
       "             artist release_date  length  popularity  acousticness  \\\n",
       "0    Arctic Monkeys   2013-09-09  183956          91       0.13600   \n",
       "16      Linkin Park   2003-09-16  187520          85       0.00353   \n",
       "17   Britney Spears   2003-11-13  198800          85       0.02490   \n",
       "19    Kings of Leon   2008-09-23  203346          84       0.00172   \n",
       "23            Kesha   2010-01-01  199693          84       0.09910   \n",
       "30     Daddy Yankee   2004-07-13  192600          83       0.32200   \n",
       "32         Maroon 5         2002  206200          83       0.05250   \n",
       "34  Jimmy Eat World   2001-07-17  165853          82       0.03710   \n",
       "39        Timbaland   2007-01-01  179120          82       0.18100   \n",
       "40         Don Omar   2003-01-01  204600          82       0.18600   \n",
       "44    The Offspring   2008-06-17  177826          82       0.00428   \n",
       "47              bôa   2010-04-20  203600          82       0.19100   \n",
       "\n",
       "    danceability  energy  instrumentalness  liveness  loudness  speechiness  \\\n",
       "0          0.464   0.417          0.022000    0.0974    -9.345       0.0256   \n",
       "16         0.488   0.870          0.000000    0.4840    -4.185       0.0421   \n",
       "17         0.774   0.838          0.025000    0.2420    -3.914       0.1140   \n",
       "19         0.542   0.905          0.010400    0.1360    -5.653       0.0540   \n",
       "23         0.755   0.837          0.000000    0.2890    -2.718       0.1420   \n",
       "30         0.852   0.797          0.000003    0.0845    -6.543       0.0614   \n",
       "32         0.712   0.862          0.000000    0.0930    -4.612       0.0378   \n",
       "34         0.643   0.849          0.000000    0.0580    -5.428       0.0526   \n",
       "39         0.729   0.807          0.750000    0.3190    -6.492       0.0936   \n",
       "40         0.822   0.713          0.000130    0.0431    -7.501       0.1220   \n",
       "44         0.550   0.917          0.000000    0.1970    -3.159       0.0638   \n",
       "47         0.583   0.888          0.000046    0.0936    -9.414       0.0349   \n",
       "\n",
       "      tempo  time_signature  year  cluster3  cluster5  \n",
       "0    67.528               4  2013         0         1  \n",
       "16  110.072               4  2003         0         1  \n",
       "17  143.040               4  2003         0         1  \n",
       "19  153.398               4  2008         0         1  \n",
       "23  120.028               4  2010         0         1  \n",
       "30   96.008               4  2004         0         1  \n",
       "32   95.051               4  2002         0         1  \n",
       "34  162.152               4  2001         0         1  \n",
       "39  114.742               4  2007         0         1  \n",
       "40   94.034               4  2003         0         1  \n",
       "44  126.115               4  2008         0         1  \n",
       "47   93.206               4  2010         0         1  "
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster5_1= df[df['cluster5']==1]\n",
    "cluster5_1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "id": "b5cec326",
   "metadata": {
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   "outputs": [
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>The Scientist</td>\n",
       "      <td>A Rush of Blood to the Head</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2002-08-27</td>\n",
       "      <td>309600</td>\n",
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       "      <th>3</th>\n",
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       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>290320</td>\n",
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       "      <td>2002</td>\n",
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       "      <td>2</td>\n",
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       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>The Real Slim Shady</td>\n",
       "      <td>The Marshall Mathers LP</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2000-05-23</td>\n",
       "      <td>284200</td>\n",
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       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Can't Stop</td>\n",
       "      <td>By the Way (Deluxe Edition)</td>\n",
       "      <td>Red Hot Chili Peppers</td>\n",
       "      <td>2002-07-09</td>\n",
       "      <td>269000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.01790</td>\n",
       "      <td>0.618</td>\n",
       "      <td>0.938</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1670</td>\n",
       "      <td>-3.442</td>\n",
       "      <td>0.0456</td>\n",
       "      <td>91.455</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>24</th>\n",
       "      <td>Till I Collapse</td>\n",
       "      <td>The Eminem Show</td>\n",
       "      <td>Eminem</td>\n",
       "      <td>2002-05-26</td>\n",
       "      <td>297786</td>\n",
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       "      <td>-3.237</td>\n",
       "      <td>0.1860</td>\n",
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       "      <td>2</td>\n",
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       "    <tr>\n",
       "      <th>31</th>\n",
       "      <td>Ms. Jackson</td>\n",
       "      <td>Stankonia</td>\n",
       "      <td>Outkast</td>\n",
       "      <td>2000-10-31</td>\n",
       "      <td>270506</td>\n",
       "      <td>83</td>\n",
       "      <td>0.14300</td>\n",
       "      <td>0.843</td>\n",
       "      <td>0.806</td>\n",
       "      <td>0.000000</td>\n",
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       "      <td>-5.946</td>\n",
       "      <td>0.2690</td>\n",
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       "      <td>4</td>\n",
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       "    <tr>\n",
       "      <th>33</th>\n",
       "      <td>Bad Romance</td>\n",
       "      <td>The Fame Monster (Deluxe Edition)</td>\n",
       "      <td>Lady Gaga</td>\n",
       "      <td>2009-11-05</td>\n",
       "      <td>294573</td>\n",
       "      <td>82</td>\n",
       "      <td>0.00314</td>\n",
       "      <td>0.695</td>\n",
       "      <td>0.921</td>\n",
       "      <td>0.000053</td>\n",
       "      <td>0.0842</td>\n",
       "      <td>-3.752</td>\n",
       "      <td>0.0363</td>\n",
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       "      <td>4</td>\n",
       "      <td>2009</td>\n",
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       "      <td>2</td>\n",
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       "    <tr>\n",
       "      <th>35</th>\n",
       "      <td>Fix You</td>\n",
       "      <td>X&amp;Y</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2005-06-07</td>\n",
       "      <td>295533</td>\n",
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       "      <td>0.16400</td>\n",
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       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>I Gotta Feeling</td>\n",
       "      <td>THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...</td>\n",
       "      <td>Black Eyed Peas</td>\n",
       "      <td>2009-01-01</td>\n",
       "      <td>289133</td>\n",
       "      <td>81</td>\n",
       "      <td>0.08730</td>\n",
       "      <td>0.744</td>\n",
       "      <td>0.766</td>\n",
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       "      <td>0.5090</td>\n",
       "      <td>-6.375</td>\n",
       "      <td>0.0265</td>\n",
       "      <td>127.966</td>\n",
       "      <td>4</td>\n",
       "      <td>2009</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
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      "text/plain": [
       "                   name                                              album  \\\n",
       "1         The Scientist                        A Rush of Blood to the Head   \n",
       "3            Without Me                                    The Eminem Show   \n",
       "13  The Real Slim Shady                            The Marshall Mathers LP   \n",
       "20           Can't Stop                        By the Way (Deluxe Edition)   \n",
       "24      Till I Collapse                                    The Eminem Show   \n",
       "31          Ms. Jackson                                          Stankonia   \n",
       "33          Bad Romance                  The Fame Monster (Deluxe Edition)   \n",
       "35              Fix You                                                X&Y   \n",
       "49      I Gotta Feeling  THE E.N.D. (THE ENERGY NEVER DIES) [Deluxe Ver...   \n",
       "\n",
       "                   artist release_date  length  popularity  acousticness  \\\n",
       "1                Coldplay   2002-08-27  309600          86       0.73100   \n",
       "3                  Eminem   2002-05-26  290320          88       0.00286   \n",
       "13                 Eminem   2000-05-23  284200          86       0.03020   \n",
       "20  Red Hot Chili Peppers   2002-07-09  269000          84       0.01790   \n",
       "24                 Eminem   2002-05-26  297786          84       0.06220   \n",
       "31                Outkast   2000-10-31  270506          83       0.14300   \n",
       "33              Lady Gaga   2009-11-05  294573          82       0.00314   \n",
       "35               Coldplay   2005-06-07  295533          82       0.16400   \n",
       "49        Black Eyed Peas   2009-01-01  289133          81       0.08730   \n",
       "\n",
       "    danceability  energy  instrumentalness  liveness  loudness  speechiness  \\\n",
       "1          0.557   0.442          0.000015    0.1100    -7.224       0.0243   \n",
       "3          0.908   0.669          0.000000    0.2370    -2.827       0.0738   \n",
       "13         0.949   0.661          0.000000    0.0454    -4.244       0.0572   \n",
       "20         0.618   0.938          0.000000    0.1670    -3.442       0.0456   \n",
       "24         0.548   0.847          0.000000    0.0816    -3.237       0.1860   \n",
       "31         0.843   0.806          0.000000    0.0771    -5.946       0.2690   \n",
       "33         0.695   0.921          0.000053    0.0842    -3.752       0.0363   \n",
       "35         0.209   0.417          0.001960    0.1130    -8.740       0.0338   \n",
       "49         0.744   0.766          0.000000    0.5090    -6.375       0.0265   \n",
       "\n",
       "      tempo  time_signature  year  cluster3  cluster5  \n",
       "1   146.277               4  2002         1         2  \n",
       "3   112.238               4  2002         1         2  \n",
       "13  104.504               4  2000         1         2  \n",
       "20   91.455               4  2002         1         2  \n",
       "24  171.447               4  2002         1         2  \n",
       "31   94.948               4  2000         1         2  \n",
       "33  119.007               4  2009         1         2  \n",
       "35  138.178               4  2005         1         2  \n",
       "49  127.966               4  2009         1         2  "
      ]
     },
     "execution_count": 108,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster5_2= df[df['cluster5']==2]\n",
    "cluster5_2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "id": "46aa9a87",
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   "outputs": [
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       "      <td>-3.138</td>\n",
       "      <td>0.0564</td>\n",
       "      <td>130.027</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        name            album  artist release_date  length  popularity  \\\n",
       "43  Superman  The Eminem Show  Eminem   2002-05-26  350320          82   \n",
       "\n",
       "    acousticness  danceability  energy  instrumentalness  liveness  loudness  \\\n",
       "43        0.0215         0.802   0.755               0.0     0.295    -3.138   \n",
       "\n",
       "    speechiness    tempo  time_signature  year  cluster3  cluster5  \n",
       "43       0.0564  130.027               4  2002         1         3  "
      ]
     },
     "execution_count": 109,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster5_3= df[df['cluster5']==3]\n",
    "cluster5_3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "id": "5ebfdf61",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>album</th>\n",
       "      <th>artist</th>\n",
       "      <th>release_date</th>\n",
       "      <th>length</th>\n",
       "      <th>popularity</th>\n",
       "      <th>acousticness</th>\n",
       "      <th>danceability</th>\n",
       "      <th>energy</th>\n",
       "      <th>instrumentalness</th>\n",
       "      <th>liveness</th>\n",
       "      <th>loudness</th>\n",
       "      <th>speechiness</th>\n",
       "      <th>tempo</th>\n",
       "      <th>time_signature</th>\n",
       "      <th>year</th>\n",
       "      <th>cluster3</th>\n",
       "      <th>cluster5</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Hips Don't Lie (feat. Wyclef Jean)</td>\n",
       "      <td>Oral Fixation, Vol. 2 (Expanded Edition)</td>\n",
       "      <td>Shakira</td>\n",
       "      <td>2005-11-28</td>\n",
       "      <td>218093</td>\n",
       "      <td>87</td>\n",
       "      <td>0.28400</td>\n",
       "      <td>0.778</td>\n",
       "      <td>0.824</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.4050</td>\n",
       "      <td>-5.892</td>\n",
       "      <td>0.0707</td>\n",
       "      <td>100.024</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>In the End</td>\n",
       "      <td>Hybrid Theory (Bonus Edition)</td>\n",
       "      <td>Linkin Park</td>\n",
       "      <td>2000</td>\n",
       "      <td>216880</td>\n",
       "      <td>87</td>\n",
       "      <td>0.00958</td>\n",
       "      <td>0.556</td>\n",
       "      <td>0.864</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2090</td>\n",
       "      <td>-5.870</td>\n",
       "      <td>0.0584</td>\n",
       "      <td>105.143</td>\n",
       "      <td>4</td>\n",
       "      <td>2000</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Mr. Brightside</td>\n",
       "      <td>Hot Fuss</td>\n",
       "      <td>The Killers</td>\n",
       "      <td>2004</td>\n",
       "      <td>222973</td>\n",
       "      <td>87</td>\n",
       "      <td>0.00121</td>\n",
       "      <td>0.352</td>\n",
       "      <td>0.911</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-5.230</td>\n",
       "      <td>0.0747</td>\n",
       "      <td>148.033</td>\n",
       "      <td>4</td>\n",
       "      <td>2004</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hey, Soul Sister</td>\n",
       "      <td>Save Me, San Francisco (Golden Gate Edition)</td>\n",
       "      <td>Train</td>\n",
       "      <td>2010-12-01</td>\n",
       "      <td>216773</td>\n",
       "      <td>85</td>\n",
       "      <td>0.18500</td>\n",
       "      <td>0.673</td>\n",
       "      <td>0.886</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0826</td>\n",
       "      <td>-4.440</td>\n",
       "      <td>0.0431</td>\n",
       "      <td>97.012</td>\n",
       "      <td>4</td>\n",
       "      <td>2010</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>Seven Nation Army</td>\n",
       "      <td>Elephant</td>\n",
       "      <td>The White Stripes</td>\n",
       "      <td>2003-04-01</td>\n",
       "      <td>232106</td>\n",
       "      <td>85</td>\n",
       "      <td>0.00390</td>\n",
       "      <td>0.743</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.118000</td>\n",
       "      <td>0.3370</td>\n",
       "      <td>-7.807</td>\n",
       "      <td>0.0683</td>\n",
       "      <td>123.596</td>\n",
       "      <td>4</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>How You Remind Me</td>\n",
       "      <td>Silver Side Up</td>\n",
       "      <td>Nickelback</td>\n",
       "      <td>2001-09-11</td>\n",
       "      <td>223840</td>\n",
       "      <td>85</td>\n",
       "      <td>0.00135</td>\n",
       "      <td>0.446</td>\n",
       "      <td>0.764</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.0990</td>\n",
       "      <td>-5.042</td>\n",
       "      <td>0.0330</td>\n",
       "      <td>172.094</td>\n",
       "      <td>4</td>\n",
       "      <td>2001</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>Feel Good Inc.</td>\n",
       "      <td>Demon Days</td>\n",
       "      <td>Gorillaz</td>\n",
       "      <td>2005-05-23</td>\n",
       "      <td>222640</td>\n",
       "      <td>85</td>\n",
       "      <td>0.00836</td>\n",
       "      <td>0.818</td>\n",
       "      <td>0.705</td>\n",
       "      <td>0.002330</td>\n",
       "      <td>0.6130</td>\n",
       "      <td>-6.679</td>\n",
       "      <td>0.1770</td>\n",
       "      <td>138.559</td>\n",
       "      <td>4</td>\n",
       "      <td>2005</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>Smack That</td>\n",
       "      <td>Konvicted</td>\n",
       "      <td>Akon</td>\n",
       "      <td>2006-01-01</td>\n",
       "      <td>212360</td>\n",
       "      <td>84</td>\n",
       "      <td>0.32300</td>\n",
       "      <td>0.939</td>\n",
       "      <td>0.741</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1070</td>\n",
       "      <td>-5.171</td>\n",
       "      <td>0.0471</td>\n",
       "      <td>118.978</td>\n",
       "      <td>4</td>\n",
       "      <td>2006</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>21</th>\n",
       "      <td>Heartless</td>\n",
       "      <td>808s &amp; Heartbreak</td>\n",
       "      <td>Kanye West</td>\n",
       "      <td>2008-11-24</td>\n",
       "      <td>211000</td>\n",
       "      <td>84</td>\n",
       "      <td>0.05150</td>\n",
       "      <td>0.790</td>\n",
       "      <td>0.647</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.2480</td>\n",
       "      <td>-5.983</td>\n",
       "      <td>0.1360</td>\n",
       "      <td>87.999</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>22</th>\n",
       "      <td>Sparks</td>\n",
       "      <td>Parachutes</td>\n",
       "      <td>Coldplay</td>\n",
       "      <td>2000-07-10</td>\n",
       "      <td>227093</td>\n",
       "      <td>84</td>\n",
       "      <td>0.74800</td>\n",
       "      <td>0.371</td>\n",
       "      <td>0.268</td>\n",
       "      <td>0.051700</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-10.506</td>\n",
       "      <td>0.0281</td>\n",
       "      <td>102.617</td>\n",
       "      <td>3</td>\n",
       "      <td>2000</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>29</th>\n",
       "      <td>Murder On The Dancefloor</td>\n",
       "      <td>Read My Lips (Deluxe Version)</td>\n",
       "      <td>Sophie Ellis-Bextor</td>\n",
       "      <td>2002-06-06</td>\n",
       "      <td>230013</td>\n",
       "      <td>83</td>\n",
       "      <td>0.00234</td>\n",
       "      <td>0.730</td>\n",
       "      <td>0.849</td>\n",
       "      <td>0.000026</td>\n",
       "      <td>0.3120</td>\n",
       "      <td>-5.281</td>\n",
       "      <td>0.0299</td>\n",
       "      <td>117.308</td>\n",
       "      <td>4</td>\n",
       "      <td>2002</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>41</th>\n",
       "      <td>If I Ain't Got You</td>\n",
       "      <td>The Diary Of Alicia Keys</td>\n",
       "      <td>Alicia Keys</td>\n",
       "      <td>2003-12-02</td>\n",
       "      <td>228706</td>\n",
       "      <td>82</td>\n",
       "      <td>0.60300</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.444</td>\n",
       "      <td>0.000007</td>\n",
       "      <td>0.1040</td>\n",
       "      <td>-9.129</td>\n",
       "      <td>0.1060</td>\n",
       "      <td>118.402</td>\n",
       "      <td>3</td>\n",
       "      <td>2003</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>45</th>\n",
       "      <td>Valerie (feat. Amy Winehouse) - Version Revisited</td>\n",
       "      <td>Version</td>\n",
       "      <td>Mark Ronson</td>\n",
       "      <td>2007-04-16</td>\n",
       "      <td>219413</td>\n",
       "      <td>82</td>\n",
       "      <td>0.00243</td>\n",
       "      <td>0.699</td>\n",
       "      <td>0.830</td>\n",
       "      <td>0.000240</td>\n",
       "      <td>0.0995</td>\n",
       "      <td>-4.898</td>\n",
       "      <td>0.0633</td>\n",
       "      <td>105.809</td>\n",
       "      <td>4</td>\n",
       "      <td>2007</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>46</th>\n",
       "      <td>Low (feat. T-Pain)</td>\n",
       "      <td>Mail on Sunday</td>\n",
       "      <td>Flo Rida</td>\n",
       "      <td>2008-03-17</td>\n",
       "      <td>231400</td>\n",
       "      <td>82</td>\n",
       "      <td>0.09280</td>\n",
       "      <td>0.918</td>\n",
       "      <td>0.609</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.1390</td>\n",
       "      <td>-5.640</td>\n",
       "      <td>0.0791</td>\n",
       "      <td>128.008</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>2</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                                 name  \\\n",
       "4                  Hips Don't Lie (feat. Wyclef Jean)   \n",
       "5                                          In the End   \n",
       "7                                      Mr. Brightside   \n",
       "9                                    Hey, Soul Sister   \n",
       "10                                  Seven Nation Army   \n",
       "12                                  How You Remind Me   \n",
       "15                                     Feel Good Inc.   \n",
       "18                                         Smack That   \n",
       "21                                          Heartless   \n",
       "22                                             Sparks   \n",
       "29                           Murder On The Dancefloor   \n",
       "41                                 If I Ain't Got You   \n",
       "45  Valerie (feat. Amy Winehouse) - Version Revisited   \n",
       "46                                 Low (feat. T-Pain)   \n",
       "\n",
       "                                           album               artist  \\\n",
       "4       Oral Fixation, Vol. 2 (Expanded Edition)              Shakira   \n",
       "5                  Hybrid Theory (Bonus Edition)          Linkin Park   \n",
       "7                                       Hot Fuss          The Killers   \n",
       "9   Save Me, San Francisco (Golden Gate Edition)                Train   \n",
       "10                                      Elephant    The White Stripes   \n",
       "12                                Silver Side Up           Nickelback   \n",
       "15                                    Demon Days             Gorillaz   \n",
       "18                                     Konvicted                 Akon   \n",
       "21                             808s & Heartbreak           Kanye West   \n",
       "22                                    Parachutes             Coldplay   \n",
       "29                 Read My Lips (Deluxe Version)  Sophie Ellis-Bextor   \n",
       "41                      The Diary Of Alicia Keys          Alicia Keys   \n",
       "45                                       Version          Mark Ronson   \n",
       "46                                Mail on Sunday             Flo Rida   \n",
       "\n",
       "   release_date  length  popularity  acousticness  danceability  energy  \\\n",
       "4    2005-11-28  218093          87       0.28400         0.778   0.824   \n",
       "5          2000  216880          87       0.00958         0.556   0.864   \n",
       "7          2004  222973          87       0.00121         0.352   0.911   \n",
       "9    2010-12-01  216773          85       0.18500         0.673   0.886   \n",
       "10   2003-04-01  232106          85       0.00390         0.743   0.446   \n",
       "12   2001-09-11  223840          85       0.00135         0.446   0.764   \n",
       "15   2005-05-23  222640          85       0.00836         0.818   0.705   \n",
       "18   2006-01-01  212360          84       0.32300         0.939   0.741   \n",
       "21   2008-11-24  211000          84       0.05150         0.790   0.647   \n",
       "22   2000-07-10  227093          84       0.74800         0.371   0.268   \n",
       "29   2002-06-06  230013          83       0.00234         0.730   0.849   \n",
       "41   2003-12-02  228706          82       0.60300         0.609   0.444   \n",
       "45   2007-04-16  219413          82       0.00243         0.699   0.830   \n",
       "46   2008-03-17  231400          82       0.09280         0.918   0.609   \n",
       "\n",
       "    instrumentalness  liveness  loudness  speechiness    tempo  \\\n",
       "4           0.000000    0.4050    -5.892       0.0707  100.024   \n",
       "5           0.000000    0.2090    -5.870       0.0584  105.143   \n",
       "7           0.000000    0.0995    -5.230       0.0747  148.033   \n",
       "9           0.000000    0.0826    -4.440       0.0431   97.012   \n",
       "10          0.118000    0.3370    -7.807       0.0683  123.596   \n",
       "12          0.000000    0.0990    -5.042       0.0330  172.094   \n",
       "15          0.002330    0.6130    -6.679       0.1770  138.559   \n",
       "18          0.000000    0.1070    -5.171       0.0471  118.978   \n",
       "21          0.000000    0.2480    -5.983       0.1360   87.999   \n",
       "22          0.051700    0.1040   -10.506       0.0281  102.617   \n",
       "29          0.000026    0.3120    -5.281       0.0299  117.308   \n",
       "41          0.000007    0.1040    -9.129       0.1060  118.402   \n",
       "45          0.000240    0.0995    -4.898       0.0633  105.809   \n",
       "46          0.000000    0.1390    -5.640       0.0791  128.008   \n",
       "\n",
       "    time_signature  year  cluster3  cluster5  \n",
       "4                4  2005         0         4  \n",
       "5                4  2000         0         4  \n",
       "7                4  2004         2         4  \n",
       "9                4  2010         0         4  \n",
       "10               4  2003         2         4  \n",
       "12               4  2001         2         4  \n",
       "15               4  2005         2         4  \n",
       "18               4  2006         0         4  \n",
       "21               4  2008         0         4  \n",
       "22               3  2000         2         4  \n",
       "29               4  2002         2         4  \n",
       "41               3  2003         2         4  \n",
       "45               4  2007         2         4  \n",
       "46               4  2008         2         4  "
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cluster5_4= df[df['cluster5']==4]\n",
    "cluster5_4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0cd06a92",
   "metadata": {},
   "source": [
    "### Analysis of results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "id": "ba7f1957",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ANOVA results for length:\n",
      "            df        sum_sq       mean_sq         F    PR(>F)\n",
      "cluster3   1.0  1.174359e+10  1.174359e+10  9.476726  0.003436\n",
      "Residual  48.0  5.948174e+10  1.239203e+09       NaN       NaN \n",
      "\n",
      "ANOVA results for popularity:\n",
      "            df      sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0    2.198442  2.198442  0.440199  0.510201\n",
      "Residual  48.0  239.721558  4.994199       NaN       NaN \n",
      "\n",
      "ANOVA results for acousticness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0  0.002288  0.002288  0.076006  0.783968\n",
      "Residual  48.0  1.445219  0.030109       NaN       NaN \n",
      "\n",
      "ANOVA results for danceability:\n",
      "            df    sum_sq   mean_sq         F   PR(>F)\n",
      "cluster3   1.0  0.051412  0.051412  1.590357  0.21337\n",
      "Residual  48.0  1.551716  0.032327       NaN      NaN \n",
      "\n",
      "ANOVA results for energy:\n",
      "            df    sum_sq  mean_sq         F    PR(>F)\n",
      "cluster3   1.0  0.090140  0.09014  3.355955  0.073171\n",
      "Residual  48.0  1.289269  0.02686       NaN       NaN \n",
      "\n",
      "ANOVA results for instrumentalness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0  0.013922  0.013922  1.221518  0.274572\n",
      "Residual  48.0  0.547055  0.011397       NaN       NaN \n",
      "\n",
      "ANOVA results for liveness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0  0.000096  0.000096  0.005612  0.940596\n",
      "Residual  48.0  0.822888  0.017144       NaN       NaN \n",
      "\n",
      "ANOVA results for loudness:\n",
      "            df      sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0    5.848910  5.848910  1.148814  0.289157\n",
      "Residual  48.0  244.380509  5.091261       NaN       NaN \n",
      "\n",
      "ANOVA results for speechiness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster3   1.0  0.000030  0.000030  0.009537  0.922613\n",
      "Residual  48.0  0.151041  0.003147       NaN       NaN \n",
      "\n",
      "ANOVA results for tempo:\n",
      "            df        sum_sq     mean_sq         F    PR(>F)\n",
      "cluster3   1.0      6.875406    6.875406  0.010251  0.919776\n",
      "Residual  48.0  32194.285384  670.714279       NaN       NaN \n",
      "\n",
      "ANOVA results for time_signature:\n",
      "            df    sum_sq   mean_sq        F    PR(>F)\n",
      "cluster3   1.0  0.084156  0.084156  2.20034  0.144517\n",
      "Residual  48.0  1.835844  0.038247      NaN       NaN \n",
      "\n",
      "ANOVA results for year:\n",
      "            df      sum_sq    mean_sq         F    PR(>F)\n",
      "cluster3   1.0   27.435065  27.435065  2.795545  0.101034\n",
      "Residual  48.0  471.064935   9.813853       NaN       NaN \n",
      "\n"
     ]
    }
   ],
   "source": [
    "\"\"\"ANOVA (ANalysis Of VAriance) is a technique meant to compare \n",
    "if there is any difference between the means of the three or more groups/populations.\n",
    "\n",
    "It is called analysis of variance because it is based on dividing the total variance in the data \n",
    "into two components (within treatment/group variance and between treatment/group variance).\n",
    "\n",
    "High P-Value (> 0.05):\n",
    "    Indicates weak evidence against the null hypothesis.\n",
    "    Suggests that any observed difference in means could easily have occurred by random chance.\n",
    "    You fail to reject the null hypothesis and conclude that there is no significant difference in means.\"\"\"\n",
    "\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.formula.api import ols\n",
    "\n",
    "cluster_metrics = df[['length','popularity', 'acousticness', 'danceability', 'energy', 'instrumentalness',\n",
    "           'liveness', 'loudness', 'speechiness', 'tempo', 'time_signature','year']]\n",
    "\n",
    "# Dictionary to store ANOVA results for each metric\n",
    "anova_results = {}\n",
    "\n",
    "for metric in cluster_metrics:\n",
    "    model = ols(f'{metric} ~ cluster3', data=df).fit()\n",
    "    table = sm.stats.anova_lm(model)\n",
    "    anova_results[metric] = table\n",
    "    print(f'ANOVA results for {metric}:')\n",
    "    print(table, '\\n')\n",
    "\n",
    "# Energy showed low p-value, but still...\n",
    "# p-value (0.073171): This is greater than the typical significance level of 0.05. \n",
    "# This suggests that there is not enough evidence to conclude that there are significant differences \n",
    "# in the mean energy values between the different clusters.\n",
    "\n",
    "# Length has an extremely low p-value (0.003436)\n",
    "# The difference in means for this column across clusters is statistically significant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "id": "d0e9673b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ANOVA results for length:\n",
      "            df        sum_sq       mean_sq         F    PR(>F)\n",
      "cluster5   1.0  1.883549e+07  1.883549e+07  0.012697  0.910754\n",
      "Residual  48.0  7.120649e+10  1.483469e+09       NaN       NaN \n",
      "\n",
      "ANOVA results for popularity:\n",
      "            df      sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0    1.067659  1.067659  0.212776  0.646684\n",
      "Residual  48.0  240.852341  5.017757       NaN       NaN \n",
      "\n",
      "ANOVA results for acousticness:\n",
      "            df    sum_sq   mean_sq         F   PR(>F)\n",
      "cluster5   1.0  0.066778  0.066778  2.321483  0.13416\n",
      "Residual  48.0  1.380729  0.028765       NaN      NaN \n",
      "\n",
      "ANOVA results for danceability:\n",
      "            df    sum_sq   mean_sq         F   PR(>F)\n",
      "cluster5   1.0  0.047326  0.047326  1.460123  0.23283\n",
      "Residual  48.0  1.555802  0.032413       NaN      NaN \n",
      "\n",
      "ANOVA results for energy:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0  0.029333  0.029333  1.042896  0.312269\n",
      "Residual  48.0  1.350076  0.028127       NaN       NaN \n",
      "\n",
      "ANOVA results for instrumentalness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0  0.000509  0.000509  0.043625  0.835437\n",
      "Residual  48.0  0.560467  0.011676       NaN       NaN \n",
      "\n",
      "ANOVA results for liveness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0  0.014883  0.014883  0.884007  0.351814\n",
      "Residual  48.0  0.808102  0.016835       NaN       NaN \n",
      "\n",
      "ANOVA results for loudness:\n",
      "            df      sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0    0.018601  0.018601  0.003568  0.952613\n",
      "Residual  48.0  250.210818  5.212725       NaN       NaN \n",
      "\n",
      "ANOVA results for speechiness:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0  0.000492  0.000492  0.156756  0.693915\n",
      "Residual  48.0  0.150579  0.003137       NaN       NaN \n",
      "\n",
      "ANOVA results for tempo:\n",
      "            df        sum_sq      mean_sq         F    PR(>F)\n",
      "cluster5   1.0   1044.178568  1044.178568  1.608647  0.210799\n",
      "Residual  48.0  31156.982222   649.103796       NaN       NaN \n",
      "\n",
      "ANOVA results for time_signature:\n",
      "            df    sum_sq   mean_sq         F    PR(>F)\n",
      "cluster5   1.0  0.160822  0.160822  4.388114  0.041492\n",
      "Residual  48.0  1.759178  0.036650       NaN       NaN \n",
      "\n",
      "ANOVA results for year:\n",
      "            df      sum_sq    mean_sq         F    PR(>F)\n",
      "cluster5   1.0    1.274678   1.274678  0.123052  0.727283\n",
      "Residual  48.0  497.225322  10.358861       NaN       NaN \n",
      "\n"
     ]
    }
   ],
   "source": [
    "# Dictionary to store ANOVA results for each metric\n",
    "anova_results5 = {}\n",
    "\n",
    "for metric in cluster_metrics:\n",
    "    model = ols(f'{metric} ~ cluster5', data=df).fit()\n",
    "    table = sm.stats.anova_lm(model)\n",
    "    anova_results5[metric] = table\n",
    "    print(f'ANOVA results for {metric}:')\n",
    "    print(table, '\\n')\n",
    "\n",
    "# Only time_signature has a low p-value (0.041492)\n",
    "# The difference in means for this column across clusters is statistically significant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7be23cb5",
   "metadata": {},
   "outputs": [],
   "source": []
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