Churn Analysis - EDA.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "3544313683eb7fc71db62dea38a54a3482efec26"
   },
   "source": [
    "# Telco Churn Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "482057581152ac07ea4113aebf81ec6940aa7621"
   },
   "source": [
    "**Dataset Info:**\n",
    "Sample Data Set containing Telco customer data and showing customers left last month"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "_cell_guid": "b1076dfc-b9ad-4769-8c92-a6c4dae69d19",
    "_uuid": "8f2839f25d086af736a60e9eeb907d3b93b6e0e5"
   },
   "outputs": [],
   "source": [
    "#import the required libraries\n",
    "import numpy as np \n",
    "import pandas as pd \n",
    "import seaborn as sns \n",
    "import matplotlib.ticker as mtick  \n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "72e4750b2861fe4d89197b4c73ad861544701c4f"
   },
   "source": [
    "**Load the data file **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "_cell_guid": "79c7e3d0-c299-4dcb-8224-4455121ee9b0",
    "_uuid": "d629ff2d2480ee46fbb7e2d37f6b5fab8052498a"
   },
   "outputs": [],
   "source": [
    "telco_base_data = pd.read_csv('WA_Fn-UseC_-Telco-Customer-Churn.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "2fd3487ed44d19c9794c5480e8c90078eebbbef6"
   },
   "source": [
    "Look at the top 5 records of data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "_uuid": "9dc64474af58b8114afb60f83cd1a002722ba74c",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>customerID</th>\n",
       "      <th>gender</th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>tenure</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>MultipleLines</th>\n",
       "      <th>InternetService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>...</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>Contract</th>\n",
       "      <th>PaperlessBilling</th>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>7590-VHVEG</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>1</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>29.85</td>\n",
       "      <td>29.85</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>5575-GNVDE</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>34</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>56.95</td>\n",
       "      <td>1889.5</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3668-QPYBK</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>2</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>53.85</td>\n",
       "      <td>108.15</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>7795-CFOCW</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>45</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>42.30</td>\n",
       "      <td>1840.75</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9237-HQITU</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>2</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Fiber optic</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>70.70</td>\n",
       "      <td>151.65</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   customerID  gender  SeniorCitizen Partner Dependents  tenure PhoneService  \\\n",
       "0  7590-VHVEG  Female              0     Yes         No       1           No   \n",
       "1  5575-GNVDE    Male              0      No         No      34          Yes   \n",
       "2  3668-QPYBK    Male              0      No         No       2          Yes   \n",
       "3  7795-CFOCW    Male              0      No         No      45           No   \n",
       "4  9237-HQITU  Female              0      No         No       2          Yes   \n",
       "\n",
       "      MultipleLines InternetService OnlineSecurity  ... DeviceProtection  \\\n",
       "0  No phone service             DSL             No  ...               No   \n",
       "1                No             DSL            Yes  ...              Yes   \n",
       "2                No             DSL            Yes  ...               No   \n",
       "3  No phone service             DSL            Yes  ...              Yes   \n",
       "4                No     Fiber optic             No  ...               No   \n",
       "\n",
       "  TechSupport StreamingTV StreamingMovies        Contract PaperlessBilling  \\\n",
       "0          No          No              No  Month-to-month              Yes   \n",
       "1          No          No              No        One year               No   \n",
       "2          No          No              No  Month-to-month              Yes   \n",
       "3         Yes          No              No        One year               No   \n",
       "4          No          No              No  Month-to-month              Yes   \n",
       "\n",
       "               PaymentMethod MonthlyCharges  TotalCharges Churn  \n",
       "0           Electronic check          29.85         29.85    No  \n",
       "1               Mailed check          56.95        1889.5    No  \n",
       "2               Mailed check          53.85        108.15   Yes  \n",
       "3  Bank transfer (automatic)          42.30       1840.75    No  \n",
       "4           Electronic check          70.70        151.65   Yes  \n",
       "\n",
       "[5 rows x 21 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_base_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "09146f5b98d0ef400d5f646625ad383bce793af5"
   },
   "source": [
    "Check the various attributes of data like shape (rows and cols), Columns, datatypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "_uuid": "b133d965a6a850e066086ca27f3957af3afec0a1"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7043, 21)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_base_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "_uuid": "d814e5db6f76a4e90b8496f09d0ba340d1eae808",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['customerID', 'gender', 'SeniorCitizen', 'Partner', 'Dependents',\n",
       "       'tenure', 'PhoneService', 'MultipleLines', 'InternetService',\n",
       "       'OnlineSecurity', 'OnlineBackup', 'DeviceProtection',\n",
       "       'TechSupport', 'StreamingTV', 'StreamingMovies', 'Contract',\n",
       "       'PaperlessBilling', 'PaymentMethod', 'MonthlyCharges',\n",
       "       'TotalCharges', 'Churn'], dtype=object)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_base_data.columns.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "_uuid": "641531c5f3131228c78e6a200e0410a161ccb2b0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "customerID           object\n",
       "gender               object\n",
       "SeniorCitizen         int64\n",
       "Partner              object\n",
       "Dependents           object\n",
       "tenure                int64\n",
       "PhoneService         object\n",
       "MultipleLines        object\n",
       "InternetService      object\n",
       "OnlineSecurity       object\n",
       "OnlineBackup         object\n",
       "DeviceProtection     object\n",
       "TechSupport          object\n",
       "StreamingTV          object\n",
       "StreamingMovies      object\n",
       "Contract             object\n",
       "PaperlessBilling     object\n",
       "PaymentMethod        object\n",
       "MonthlyCharges      float64\n",
       "TotalCharges         object\n",
       "Churn                object\n",
       "dtype: object"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Checking the data types of all the columns\n",
    "telco_base_data.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "_uuid": "04c3c0507e827f4c5b06c2d47441055a2cebc1bb"
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>tenure</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>count</th>\n",
       "      <td>7043.000000</td>\n",
       "      <td>7043.000000</td>\n",
       "      <td>7043.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>mean</th>\n",
       "      <td>0.162147</td>\n",
       "      <td>32.371149</td>\n",
       "      <td>64.761692</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.368612</td>\n",
       "      <td>24.559481</td>\n",
       "      <td>30.090047</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>18.250000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>9.000000</td>\n",
       "      <td>35.500000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>29.000000</td>\n",
       "      <td>70.350000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>0.000000</td>\n",
       "      <td>55.000000</td>\n",
       "      <td>89.850000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>72.000000</td>\n",
       "      <td>118.750000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       SeniorCitizen       tenure  MonthlyCharges\n",
       "count    7043.000000  7043.000000     7043.000000\n",
       "mean        0.162147    32.371149       64.761692\n",
       "std         0.368612    24.559481       30.090047\n",
       "min         0.000000     0.000000       18.250000\n",
       "25%         0.000000     9.000000       35.500000\n",
       "50%         0.000000    29.000000       70.350000\n",
       "75%         0.000000    55.000000       89.850000\n",
       "max         1.000000    72.000000      118.750000"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Check the descriptive statistics of numeric variables\n",
    "telco_base_data.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "42023cf4f351bff8a06063bffe9fe23c6ec0ab4c"
   },
   "source": [
    "SeniorCitizen is actually a categorical hence the 25%-50%-75% distribution is not propoer\n",
    "\n",
    "75% customers have tenure less than 55 months\n",
    "\n",
    "Average Monthly charges are USD 64.76 whereas 25% customers pay more than USD 89.85 per month"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "telco_base_data['Churn'].value_counts().plot(kind='barh', figsize=(8, 6))\n",
    "plt.xlabel(\"Count\", labelpad=14)\n",
    "plt.ylabel(\"Target Variable\", labelpad=14)\n",
    "plt.title(\"Count of TARGET Variable per category\", y=1.02);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "No     73.463013\n",
       "Yes    26.536987\n",
       "Name: Churn, dtype: float64"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "100*telco_base_data['Churn'].value_counts()/len(telco_base_data['Churn'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "No     5174\n",
       "Yes    1869\n",
       "Name: Churn, dtype: int64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_base_data['Churn'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* Data is highly imbalanced, ratio = 73:27<br>\n",
    "* So we analyse the data with other features while taking the target values separately to get some insights."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 7043 entries, 0 to 7042\n",
      "Data columns (total 21 columns):\n",
      "customerID          7043 non-null object\n",
      "gender              7043 non-null object\n",
      "SeniorCitizen       7043 non-null int64\n",
      "Partner             7043 non-null object\n",
      "Dependents          7043 non-null object\n",
      "tenure              7043 non-null int64\n",
      "PhoneService        7043 non-null object\n",
      "MultipleLines       7043 non-null object\n",
      "InternetService     7043 non-null object\n",
      "OnlineSecurity      7043 non-null object\n",
      "OnlineBackup        7043 non-null object\n",
      "DeviceProtection    7043 non-null object\n",
      "TechSupport         7043 non-null object\n",
      "StreamingTV         7043 non-null object\n",
      "StreamingMovies     7043 non-null object\n",
      "Contract            7043 non-null object\n",
      "PaperlessBilling    7043 non-null object\n",
      "PaymentMethod       7043 non-null object\n",
      "MonthlyCharges      7043 non-null float64\n",
      "TotalCharges        7043 non-null object\n",
      "Churn               7043 non-null object\n",
      "dtypes: float64(1), int64(2), object(18)\n",
      "memory usage: 1.1+ MB\n"
     ]
    }
   ],
   "source": [
    "# Concise Summary of the dataframe, as we have too many columns, we are using the verbose = True mode\n",
    "telco_base_data.info(verbose = True) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "missing = pd.DataFrame((telco_base_data.isnull().sum())*100/telco_base_data.shape[0]).reset_index()\n",
    "plt.figure(figsize=(16,5))\n",
    "ax = sns.pointplot('index',0,data=missing)\n",
    "plt.xticks(rotation =90,fontsize =7)\n",
    "plt.title(\"Percentage of Missing values\")\n",
    "plt.ylabel(\"PERCENTAGE\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Missing Data - Initial Intuition\n",
    "\n",
    "* Here, we don't have any missing data.\n",
    "\n",
    "General Thumb Rules:\n",
    "\n",
    "* For features with less missing values- can use regression to predict the missing values or fill with the mean of the values present, depending on the feature.\n",
    "* For features with very high number of missing values- it is better to drop those columns as they give very less insight on analysis.\n",
    "* As there's no thumb rule on what criteria do we delete the columns with high number of missing values, but generally you can delete the columns, if you have more than 30-40% of missing values. But again there's a catch here, for example, Is_Car & Car_Type, People having no cars, will obviously have Car_Type as NaN (null), but that doesn't make this column useless, so decisions has to be taken wisely."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "f8280f2a0edda71ef51a0ecbfc12d292a40f0989"
   },
   "source": [
    "## Data Cleaning\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "3a1d2201066c4cfe149d6b71754d29ed41808539"
   },
   "source": [
    "**1.** Create a copy of base data for manupulation & processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "_uuid": "121b8594ada0e9d8c2a033c8e9fafef6ea5ea755"
   },
   "outputs": [],
   "source": [
    "telco_data = telco_base_data.copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "d29d02dd08beaaab943c0d8b5e1d896db72396a8"
   },
   "source": [
    "**2.** Total Charges should be numeric amount. Let's convert it to numerical data type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "_uuid": "1d2c01029124a6fe73b3ec3fc4efdb66647d64e1"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "customerID           0\n",
       "gender               0\n",
       "SeniorCitizen        0\n",
       "Partner              0\n",
       "Dependents           0\n",
       "tenure               0\n",
       "PhoneService         0\n",
       "MultipleLines        0\n",
       "InternetService      0\n",
       "OnlineSecurity       0\n",
       "OnlineBackup         0\n",
       "DeviceProtection     0\n",
       "TechSupport          0\n",
       "StreamingTV          0\n",
       "StreamingMovies      0\n",
       "Contract             0\n",
       "PaperlessBilling     0\n",
       "PaymentMethod        0\n",
       "MonthlyCharges       0\n",
       "TotalCharges        11\n",
       "Churn                0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_data.TotalCharges = pd.to_numeric(telco_data.TotalCharges, errors='coerce')\n",
    "telco_data.isnull().sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "87478c110cb2c8fa7e98fd89719d9ae401cc791b"
   },
   "source": [
    "**3.** As we can see there are 11 missing values in TotalCharges column. Let's check these records "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "_uuid": "4c518b444a2697db9364fcd5038e47e485401662",
    "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>customerID</th>\n",
       "      <th>gender</th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>tenure</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>MultipleLines</th>\n",
       "      <th>InternetService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>...</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>Contract</th>\n",
       "      <th>PaperlessBilling</th>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>488</th>\n",
       "      <td>4472-LVYGI</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Two year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>52.55</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>753</th>\n",
       "      <td>3115-CZMZD</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>20.25</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>936</th>\n",
       "      <td>5709-LVOEQ</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>80.85</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1082</th>\n",
       "      <td>4367-NUYAO</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>25.75</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1340</th>\n",
       "      <td>1371-DWPAZ</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Credit card (automatic)</td>\n",
       "      <td>56.05</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3331</th>\n",
       "      <td>7644-OMVMY</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>19.85</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3826</th>\n",
       "      <td>3213-VVOLG</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>25.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4380</th>\n",
       "      <td>2520-SGTTA</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>20.00</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5218</th>\n",
       "      <td>2923-ARZLG</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>...</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>No internet service</td>\n",
       "      <td>One year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>19.70</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6670</th>\n",
       "      <td>4075-WKNIU</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>DSL</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Two year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>73.35</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6754</th>\n",
       "      <td>2775-SEFEE</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Two year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>61.90</td>\n",
       "      <td>NaN</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>11 rows × 21 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "      customerID  gender  SeniorCitizen Partner Dependents  tenure  \\\n",
       "488   4472-LVYGI  Female              0     Yes        Yes       0   \n",
       "753   3115-CZMZD    Male              0      No        Yes       0   \n",
       "936   5709-LVOEQ  Female              0     Yes        Yes       0   \n",
       "1082  4367-NUYAO    Male              0     Yes        Yes       0   \n",
       "1340  1371-DWPAZ  Female              0     Yes        Yes       0   \n",
       "3331  7644-OMVMY    Male              0     Yes        Yes       0   \n",
       "3826  3213-VVOLG    Male              0     Yes        Yes       0   \n",
       "4380  2520-SGTTA  Female              0     Yes        Yes       0   \n",
       "5218  2923-ARZLG    Male              0     Yes        Yes       0   \n",
       "6670  4075-WKNIU  Female              0     Yes        Yes       0   \n",
       "6754  2775-SEFEE    Male              0      No        Yes       0   \n",
       "\n",
       "     PhoneService     MultipleLines InternetService       OnlineSecurity  ...  \\\n",
       "488            No  No phone service             DSL                  Yes  ...   \n",
       "753           Yes                No              No  No internet service  ...   \n",
       "936           Yes                No             DSL                  Yes  ...   \n",
       "1082          Yes               Yes              No  No internet service  ...   \n",
       "1340           No  No phone service             DSL                  Yes  ...   \n",
       "3331          Yes                No              No  No internet service  ...   \n",
       "3826          Yes               Yes              No  No internet service  ...   \n",
       "4380          Yes                No              No  No internet service  ...   \n",
       "5218          Yes                No              No  No internet service  ...   \n",
       "6670          Yes               Yes             DSL                   No  ...   \n",
       "6754          Yes               Yes             DSL                  Yes  ...   \n",
       "\n",
       "         DeviceProtection          TechSupport          StreamingTV  \\\n",
       "488                   Yes                  Yes                  Yes   \n",
       "753   No internet service  No internet service  No internet service   \n",
       "936                   Yes                   No                  Yes   \n",
       "1082  No internet service  No internet service  No internet service   \n",
       "1340                  Yes                  Yes                  Yes   \n",
       "3331  No internet service  No internet service  No internet service   \n",
       "3826  No internet service  No internet service  No internet service   \n",
       "4380  No internet service  No internet service  No internet service   \n",
       "5218  No internet service  No internet service  No internet service   \n",
       "6670                  Yes                  Yes                  Yes   \n",
       "6754                   No                  Yes                   No   \n",
       "\n",
       "          StreamingMovies  Contract PaperlessBilling  \\\n",
       "488                    No  Two year              Yes   \n",
       "753   No internet service  Two year               No   \n",
       "936                   Yes  Two year               No   \n",
       "1082  No internet service  Two year               No   \n",
       "1340                   No  Two year               No   \n",
       "3331  No internet service  Two year               No   \n",
       "3826  No internet service  Two year               No   \n",
       "4380  No internet service  Two year               No   \n",
       "5218  No internet service  One year              Yes   \n",
       "6670                   No  Two year               No   \n",
       "6754                   No  Two year              Yes   \n",
       "\n",
       "                  PaymentMethod MonthlyCharges  TotalCharges  Churn  \n",
       "488   Bank transfer (automatic)          52.55           NaN     No  \n",
       "753                Mailed check          20.25           NaN     No  \n",
       "936                Mailed check          80.85           NaN     No  \n",
       "1082               Mailed check          25.75           NaN     No  \n",
       "1340    Credit card (automatic)          56.05           NaN     No  \n",
       "3331               Mailed check          19.85           NaN     No  \n",
       "3826               Mailed check          25.35           NaN     No  \n",
       "4380               Mailed check          20.00           NaN     No  \n",
       "5218               Mailed check          19.70           NaN     No  \n",
       "6670               Mailed check          73.35           NaN     No  \n",
       "6754  Bank transfer (automatic)          61.90           NaN     No  \n",
       "\n",
       "[11 rows x 21 columns]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_data.loc[telco_data ['TotalCharges'].isnull() == True]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "7657362c1ba2d5d1582d13926e46ca0d30574e20"
   },
   "source": [
    "**4. Missing Value Treatement**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "4c997dec9dbb501333f6a1562e9092e1008df58f"
   },
   "source": [
    "Since the % of these records compared to total dataset is very low ie 0.15%, it is safe to ignore them from further processing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "_uuid": "cfd79280abe1d2238776bea1fdb7575c90a160bb"
   },
   "outputs": [],
   "source": [
    "#Removing missing values \n",
    "telco_data.dropna(how = 'any', inplace = True)\n",
    "\n",
    "#telco_data.fillna(0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "f287bc221478ee7f8945942f111e9f457f446218"
   },
   "source": [
    "**5.** Divide customers into bins based on tenure e.g. for tenure < 12 months: assign a tenure group if 1-12, for tenure between 1 to 2 Yrs, tenure group of 13-24; so on..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "_uuid": "35b6c18a5b84dd1e5fa014b49fcfce8ee43aaabe"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "72\n"
     ]
    }
   ],
   "source": [
    "# Get the max tenure\n",
    "print(telco_data['tenure'].max()) #72"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Group the tenure in bins of 12 months\n",
    "labels = [\"{0} - {1}\".format(i, i + 11) for i in range(1, 72, 12)]\n",
    "\n",
    "telco_data['tenure_group'] = pd.cut(telco_data.tenure, range(1, 80, 12), right=False, labels=labels)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1 - 12     2175\n",
       "61 - 72    1407\n",
       "13 - 24    1024\n",
       "49 - 60     832\n",
       "25 - 36     832\n",
       "37 - 48     762\n",
       "Name: tenure_group, dtype: int64"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_data['tenure_group'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "c36ca32d5de932c55480842c31ef9b2ed657526c"
   },
   "source": [
    "**6.** Remove columns not required for processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "_uuid": "d95aa107c0ef519ea7e87a65a5fd41592dfa4091"
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>gender</th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>MultipleLines</th>\n",
       "      <th>InternetService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>OnlineBackup</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>Contract</th>\n",
       "      <th>PaperlessBilling</th>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "      <th>tenure_group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>29.85</td>\n",
       "      <td>29.85</td>\n",
       "      <td>No</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>56.95</td>\n",
       "      <td>1889.50</td>\n",
       "      <td>No</td>\n",
       "      <td>25 - 36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>53.85</td>\n",
       "      <td>108.15</td>\n",
       "      <td>Yes</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>42.30</td>\n",
       "      <td>1840.75</td>\n",
       "      <td>No</td>\n",
       "      <td>37 - 48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Fiber optic</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>70.70</td>\n",
       "      <td>151.65</td>\n",
       "      <td>Yes</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   gender  SeniorCitizen Partner Dependents PhoneService     MultipleLines  \\\n",
       "0  Female              0     Yes         No           No  No phone service   \n",
       "1    Male              0      No         No          Yes                No   \n",
       "2    Male              0      No         No          Yes                No   \n",
       "3    Male              0      No         No           No  No phone service   \n",
       "4  Female              0      No         No          Yes                No   \n",
       "\n",
       "  InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport  \\\n",
       "0             DSL             No          Yes               No          No   \n",
       "1             DSL            Yes           No              Yes          No   \n",
       "2             DSL            Yes          Yes               No          No   \n",
       "3             DSL            Yes           No              Yes         Yes   \n",
       "4     Fiber optic             No           No               No          No   \n",
       "\n",
       "  StreamingTV StreamingMovies        Contract PaperlessBilling  \\\n",
       "0          No              No  Month-to-month              Yes   \n",
       "1          No              No        One year               No   \n",
       "2          No              No  Month-to-month              Yes   \n",
       "3          No              No        One year               No   \n",
       "4          No              No  Month-to-month              Yes   \n",
       "\n",
       "               PaymentMethod  MonthlyCharges  TotalCharges Churn tenure_group  \n",
       "0           Electronic check           29.85         29.85    No       1 - 12  \n",
       "1               Mailed check           56.95       1889.50    No      25 - 36  \n",
       "2               Mailed check           53.85        108.15   Yes       1 - 12  \n",
       "3  Bank transfer (automatic)           42.30       1840.75    No      37 - 48  \n",
       "4           Electronic check           70.70        151.65   Yes       1 - 12  "
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#drop column customerID and tenure\n",
    "telco_data.drop(columns= ['customerID','tenure'], axis=1, inplace=True)\n",
    "telco_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "0339847e7ebf56e073d045b5b6c9296e7010d37b"
   },
   "source": [
    "## Data Exploration\n",
    "**1. ** Plot distibution of individual predictors by churn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Univariate Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "_uuid": "284f24631775ab8af6b43ce2e0269ddeb5c424c6"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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J49OQTzc1QWFYSNI4N9RrHJIkAQaHJKklg0OS1IrBIUlqxeCQJLVicEiSWjE4JEmtGBySpFYMDklSKwaHJKkVg0OS1IrBIUlqxeCQJLVicEiSWulZcCRZluTRJGu6arsluTnJD5rnXZt6kixJsjbJXUkO6trmjGb9HyQ5o1f9SpKGppcjjsuBY7aoXQjcUlWzgVua9wDHArObx0Lgs7D5J2oXAW8BDgYWdf+ErSRp5PUsOKrq28DjW5SPB65oXl8BvLurfmV1fBd4TZK9gKOBm6vq8ar6CXAzLw4jSdIIGulrHHtW1cMAzfNrm/o+wI+61htoalurS5L6ZLRcHM8gtdpG/cU7SBYmWZlk5bp164a1OUnSr4x0cDzSnIKieX60qQ8AM7rWmw48tI36i1TV0qqaV1Xzpk2bNuyNS5I6Rjo4rgc23Rl1BvB3XfUFzd1VbwWeaE5l3QQclWTX5qL4UU1NktQnk3q14yR/AxwO7JFkgM7dUR8Frk5yFvAgcFKz+g3AccBa4Cng/QBV9XiSi4EVzXofrqotL7hLkkZQz4Kjqt63lUXzB1m3gLO3sp9lwLJhbE2S9DKMlovjkqQxwuCQJLVicEiSWjE4JEmtGBySpFYMDklSKwaHJKkVg0OS1IrBIUlqxeCQJLVicEiSWjE4JEmtGBySpFYMDklSKwaHJKkVg0OS1IrBIUlqxeCQJLVicEiSWjE4JEmtGBySpFYMDklSKwaHJKkVg0OS1IrBIUlqxeCQJLVicEiSWjE4JEmtGBySpFb6EhxJ7k9yd5LVSVY2td2S3JzkB83zrk09SZYkWZvkriQH9aNnSVJHP0ccR1TV3Kqa17y/ELilqmYDtzTvAY4FZjePhcBnR7xTSdJmo+lU1fHAFc3rK4B3d9WvrI7vAq9Jslc/GpQk9S84Cvh6klVJFja1PavqYYDm+bVNfR/gR13bDjS1F0iyMMnKJCvXrVvXw9YlaXyb1KfjHlpVDyV5LXBzkv+7jXUzSK1eVKhaCiwFmDdv3ouWS5KGR19GHFX1UPP8KHAdcDDwyKZTUM3zo83qA8CMrs2nAw+NXLeSpG4jPuJIsjMwoap+1rw+CvgwcD1wBvDR5vnvmk2uB85Jshx4C/DEplNakvTghw/sdwujxr5/fveIHKcfp6r2BK5Lsun4f11VNyZZAVyd5CzgQeCkZv0bgOOAtcBTwPtHvmVJ0iYjHhxV9UPgNwaprwfmD1Iv4OwRaE2SNASj6XZcSdIYYHBIkloxOCRJrRgckqRWDA5JUisGhySpFYNDktSKwSFJasXgkCS1YnBIkloxOCRJrRgckqRWDA5JUisGhySpFYNDktSKwSFJasXgkCS1YnBIkloxOCRJrRgckqRWDA5JUisGhySpFYNDktSKwSFJasXgkCS1YnBIkloxOCRJrRgckqRWxkxwJDkmyX1J1ia5sN/9SNJ4NSaCI8lE4DPAscAc4H1J5vS3K0kan8ZEcAAHA2ur6odV9QtgOXB8n3uSpHFprATHPsCPut4PNDVJ0gib1O8GhiiD1OoFKyQLgYXN2w1J7ut5V+PE62AP4LF+9zEqLBrsT1H95N9nl5f/9/m6oaw0VoJjAJjR9X468FD3ClW1FFg6kk2NF0lWVtW8fvchDca/z5E3Vk5VrQBmJ9kvySuAU4Dr+9yTJI1LY2LEUVUbk5wD3ARMBJZV1T19bkuSxqUxERwAVXUDcEO/+xinPAWo0cy/zxGWqtr+WpIkNcbKNQ5J0ihhcIxz6bgtybFdtZOT3NjPvqQtJakkl3a9/8Mki/vY0rhlcIxz1TlX+QHgE0mmJtkZ+Ahwdn87k17kWeDEJHv0u5HxzuAQVbUG+ArwX4FFwJVV9c9JzkjyvSSrk/xVkglJJiX5YpK7k6xJcm5/u9c4spHOhfD/suWCJK9LckuSu5rnfUe+vfFjzNxVpZ67CLgD+AUwL8kBwAnAIc3t0EvpfH/mn4E9qupAgCSv6VfDGpc+A9yV5C+2qH+azv/wXJHkTGAJ8O4R726cMDgEQFX9PMnfAhuq6tkkRwK/BaxMArATnfnCbgJen+RTdG6P/nq/etb4U1VPJrkSOBd4umvRbwMnNq+/CGwZLBpGBoe6Pd88oDM/2LKq+m9brpTkTXSmuD8X+B1+NUeYNBL+O53R8Re2sY7fM+ghr3Foa74BnLzpQmSS3ZPsm2Qane//fInO9ZCD+tmkxp+qehy4Gjirq3w7nVOpAKcBt410X+OJIw4NqqruTnIR8I0kE4Bf0rn76jngsnTOXxWdC+rSSLsUOKfr/bnAsiR/BKwD3t+XrsYJvzkuSWrFU1WSpFYMDklSKwaHJKkVg0OS1IrBIUlqxeDQDinJc80cW2uSfCnJr/X4eP8pyaeHcX/3N/OBrW6ej+9adnvzPDPJmub14Um+2rx+V5ILh6sXaUsGh3ZUT1fV3Ko6gM78Wx/o1YGS9Or7UEdU1VzgPXTmXgKgqg7Z1kZVdX1VfbRHPUkGh8aFfwD+LUCSLydZleSeJJunSkmyIcmlSe5oZled1tRnJbmx2eYfkryhqV+e5BNJbgUu6T5YkmlJrkmyonkc2tT/fTOCWJ3kziSvTLJXkm93jY4OG6T/VwE/6e51Wx+2e/TT9Lkkye1JfpjkPU19QjPj8T1Jvprkhk3LpO0xOLRDa0YDxwJ3N6Uzq+rNwDzg3CS7N/WdgTuq6iDgW3SmU4HONN4fbLb5Q+Cvunb/68CRVXXBFof9FPDJqvotOnN5/Y+m/ofA2c0o4jA6k/SdCtzU1H4DWN21n1ubU1HfAv7spf43APYC3ga8A9g0EjkRmAkcCPxnOpMESkPilCPaUe2UZNM/wv8AXNa8PjfJCc3rGcBsYD2dyR3/tqn/T+DaJLsAhwBfamYIBpjSdYwvVdVzgxz7SGBO1zavSvJK4Dt0fjDrKuDaqhpIsoLOVBmTgS9XVXdwHFFVjyWZBdyS5O+rapujja34clU9D3w/yZ5N7W1N/88DP25GTtKQGBzaUT3d/F/8ZkkOp/OP+m9X1VNJ/h6YupXti86I/Kdb7qfLz7dSn9Ac4+kt6h9N8r+B44DvJjmyqr6d5N8B/xH4YpKPVdWVL2ik86NajwBzgO9t5Zjb8mzX62zxLLXmqSqNJ68GftKExhuAt3Ytm0DnIjR0Th/dVlVPAv+S5CTY/PvsvzGE43ydrgn4ksxtnmdV1d1VdQmwEnhDktcBj1bV5+mMil4023CS1wL7AQ+0+7jbdBvwO821jj2Bw4dx39rBOeLQeHIj8IEkdwH3Ad/tWvZzYP8kq4AngPc29dOAzyb5M2AysBz4P9s5zrnAZ5rjTAK+TeeurvOTHEFnhuHvA1+jMxX4HyX5JbABWNC1n1uTPNcc98KqeuSlfexBXQPMB9YA/w/4JzqfW9ouZ8eV6NypVFW79LuPkZRkl6ra0Nwg8D3g0Kr6cb/70ujniEMav76azm/GvwK42NDQUDnikCS14sVxSVIrBockqRWDQ5LUisEhSWrF4JAktWJwSJJa+f/t7JCb1BQPtAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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MiBgBzMzjAAcCI/JrEvDjTizXzMzqoNZks2tEvFIZiYiXgY90ZIGSNgU+AVye23o7Il4lPbczLVebBhyWhw8Fro7kIWCQpK07smwzM6uPWpNNn8ppLQBJW1D7A6EtfRBYDlwpaa6kyyQNBLaKiGcB8t8tc/2hwNOF+ZtymZmZ9RC1JozvAQ9I+jmpm5qjgPM7sczdgFMj4mFJF9N8yqwaVSlbq6scSZNIp9nYdtttOxiamZmVoaYjm4i4GvgM8DzpqOQfI+KaDi6zCWiKiIfz+M9Jyef5yumx/PeFQv3hhfmHAc9UiXFqRIyOiNENDb4r28xsfVJzr88RsSgiLomIH0TEoo4uMCKeA56WtGMuGgssIj00OiGXTQB+mYdvAsbnu9L2AF6rnG4zM7OeoaPXXTrrVOBaSRsCT5Juo+4DzJB0MrAMODLXvRUYBywB3qATt1ybmVl91CXZRMQ80s8UtDS2St0ATik9KDMzK02HfjzNzMxsXTjZmJlZ6ZxszMysdE42ZmZWOicbMzMrnZONmZmVzsnGzMxK52RjZmalc7IxM7PSOdmYmVnpnGzMzKx0TjZmZlY6JxszMyudk42ZmZXOycbMzErnZGNmZqVzsjEzs9I52ZiZWemcbMzMrHRONmZmVjonGzMzK52TjZmZlc7JxszMSle3ZCOpr6S5km7J49tJeljSHyRdJ2nDXN4/jy/J0xvrFbOZmXVMPY9sTgcWF8YvAC6KiBHAK8DJufxk4JWI+BBwUa5nZmY9SF2SjaRhwKeBy/K4gE8CP89VpgGH5eFD8zh5+thc38zMeoh6Hdn8J/AVYFUeHwy8GhEr83gTMDQPDwWeBsjTX8v1zcysh+j2ZCPpIOCFiJhTLK5SNWqYVmx3kqTZkmYvX768CyI1M7OuUo8jmz2BQyQtBaaTTp/9JzBIUr9cZxjwTB5uAoYD5OmbAS+3bDQipkbE6IgY3dDQUO47MDOzddLtySYivhYRwyKiETgGuCsijgfuBo7I1SYAv8zDN+Vx8vS7ImKtIxszM1t/rU/P2XwVOFPSEtI1mctz+eXA4Fx+JnBWneIzM7MO6td+lfJExCxgVh5+EhhTpc6bwJHdGpiZmXWp9enIxszMeiknGzMzK52TjZmZlc7JxszMSudkY2ZmpXOyMTOz0jnZmJlZ6ZxszMysdE42ZmZWOicbMzMrXV27qzHrSsu+uUu9Q2Dbbyyodwhm6yUf2ZiZWemcbMzMrHRONmZmVjonGzMzK52TjZmZlc7JxszMSudkY2ZmpfNzNmZWlZ9bsq7kIxszMyudk42ZmZXOycbMzErnazZmZiVbH65/QX2vgXX7kY2k4ZLulrRY0mOSTs/lW0i6Q9If8t/Nc7kkTZG0RNJ8Sbt1d8xmZtY59TiNthL4UkT8DbAHcIqkkcBZwMyIGAHMzOMABwIj8msS8OPuD9nMzDqj25NNRDwbEY/m4b8Ai4GhwKHAtFxtGnBYHj4UuDqSh4BBkrbu5rDNzKwT6nqDgKRG4CPAw8BWEfEspIQEbJmrDQWeLszWlMvMzKyHqFuykbQxcD1wRkT8ua2qVcqiSnuTJM2WNHv58uVdFaaZmXWBuiQbSRuQEs21EXFDLn6+cnos/30hlzcBwwuzDwOeadlmREyNiNERMbqhoaG84M3MbJ3V4240AZcDiyPi+4VJNwET8vAE4JeF8vH5rrQ9gNcqp9vMzKxnqMdzNnsCJwALJM3LZV8Hvg3MkHQysAw4Mk+7FRgHLAHeAE7s3nDNzKyzuj3ZRMR9VL8OAzC2Sv0ATik1KDMzK5W7qzEzs9I52ZiZWemcbMzMrHRONmZmVjonGzMzK52TjZmZlc7JxszMSudkY2ZmpXOyMTOz0jnZmJlZ6ZxszMysdE42ZmZWOicbMzMrnZONmZmVzsnGzMxK52RjZmalc7IxM7PSOdmYmVnpnGzMzKx0TjZmZlY6JxszMyudk42ZmZXOycbMzErXY5KNpE9JelzSEkln1TseMzOrXY9INpL6Aj8EDgRGAsdKGlnfqMzMrFY9ItkAY4AlEfFkRLwNTAcOrXNMZmZWo56SbIYCTxfGm3KZmZn1AIqIesfQLklHAgdExD/l8ROAMRFxaqHOJGBSHt0ReLzbA113Q4AX6x1EL+L12bW8PrtOT1mXH4iIhjIa7ldGoyVoAoYXxocBzxQrRMRUYGp3BtVZkmZHxOh6x9FbeH12La/PruN12XNOoz0CjJC0naQNgWOAm+ock5mZ1ahHHNlExEpJXwR+DfQFroiIx+oclpmZ1ahHJBuAiLgVuLXecXSxHnXarwfw+uxaXp9d5z2/LnvEDQJmZtaz9ZRrNmZm1oP16mQj6V1J8wqvs3L5LEnrfGeIpFGSxnVxjLdKGtTJNlZ0USydakdSSLqmMN5P0nJJt7Qz32hJU/LwREmXrONyl0oaUmPdyZK+vC7tl9mO2XtFr042wF8jYlTh9e1OtjcKqJpsJHXo+ldEjIuIVzsV1frjdWBnSRvl8X8A/q+9mSJidkScVmpkHVDYWfmdpEclfbwTbbW7gyPpDEnv6+gy1iGW0yQtlnRtJ9rYSNI9uSupjsw/UdI2efj9kqZL+qOkRXkHbIdOxDZR0iWSBkn6iaTxufyMGnZ8pksa0dFlF5ffyrTDJH2jg+0OkvSFzsRW43L2KX7XJX2+sg5bqd8g6bb22u3tyaZdkvaX9GDemPxM0sa5/KOSHsgbmt9K2gz4JnB03gAdnfdup0q6Hbha0gBJV0paIGmupH1zWxMl3SDpNkl/kPSdwvJX75VLGi9pfl7mNVVi3bjQ/nxJnylMOz/P95CkrXJZg6TrJT2SX3u2106ePiSvk093YJX+CqjMdyzw00K7Y/I6nZv/7pjL96m2EWgj/sGSbs/t/BegaoEodd76aF4vMwuTRuaN/5OSTivU/2z+rOfldv8aEaOArwKbALe3aKcy3+ck/UrNSbajzgCqJpuObtRb8QVgXEQcX0tlVd+ROgm4ISLe7WAME4FtJAm4EZgVEdtHxEjg68BWLWLoyPsfBOwaEVfn8cOAye3M82PgK7UuQMm6bEe/AvxoHeoXDSJ9dmXbB1idbCLi0sI6XEtELAeerfx/tioieu0LeBeYV3gdnctnAaNJT/XeCwzM5V8FvgFsCDwJfDSXb0q6c28icEmh/cnAHGCjPP4l4Mo8/GFgGTAgz/cksFkefwoYnustzXHsROr1YEgu36LK+7kA+M/C+Ob5bwAH5+HvAP+Wh38C7JWHtwUWt9POCtI/+cPAP3Rgfa8AdgV+nt/nPNIX95bieszD+wHX5+FindXruI34pwDfyMOfzu9/SItYGkhdHG1XXJ/5M3sA6J/X+0vABsDfADcDG+R6PwLeLLRzCvALYAtg4/x5NpGO3H6b22sEFgP/DTwG3F74bswifef6ANOAb7WI9zTgbWABcHdhfX4zfx57kb6bjwALSXc3qdD2BTmOJ4C9c/lOuWweMB8YAVxaWM6/AgOBK3K7c4FDC5/Dz/I6uavKZ/0A0JiHNwZmAo/mdittNAILC/N8Oa//I/J7exxYAtwHjM3LX5Dj6U/6Xvw1r8s3gNnAvwGvAW+R/nf75uUvyp/XirzeLyH1ofhO/ox+STryfiuvj4HAd/Py5gPnAncCv8t1dmjnfS0mfUfmAh8ATszr/h7S539JlXW2Q+WzzeMH5892bl72VoXv6JcL9RbmZU7P62MecCFpJ+vCPH0Bzdu3fXIcM3JM3waOJ30XFgDbt7b8vJzn8jqbB+xdjAf4UGE9PVpo61DgR21uH+qdEMp8AStaKZ9F+sc/iNSFRCUZLQIuB3YB7q8y30TWTjbnFMZvBD5ZGP8NaeM7EfjvQvmvaN6ILiVt9E4Fzm/n/cwBRlQpf4vmDc/RwGV5+AXWTLb/R9pDb6udhcDfd2Z9kzYKJwL/zpqJZHheR5V/jt8X/jmqJZvW4p8HfLCw3JdZO9kcDFxbJcbJwNmF8cWkHim+SOqVorKsx4FVpKTyWn7tnufpB/xH/oe7nbTBFOkfdSUwKtebAXy28J3bg3Skd3Yr629p8X2QkuhRhfEtCsPX0LyDMQv4Xh4eB9yZh38AHJ+HN6Q58a1eTv6MKjEOIm2cBubPoYnqOz0bAs8VxvsBm+bhIS3Wx1rJpsX/4GmknYengR3ytKtJR3n75M+gsvM0DfgzsDlpJ+ANYHz+/J7OZVuTNsiX5OW/QPOG8iFSh74A/wJcT/POz2zg8Dw8E9iznfe1CtgjT9uatGPZkNfN/VRPNidWPqc8vjnN/7f/VPgMJ1M92bRcn58B7iAl3K1yDFvn9fZqHu5P+r85N89zOnlHcx2Wv3qclJwq62kA8L48PBRY0Nb2occ8Z1MSAXdExLFrFEq7kv7Ra/F6i/Za81Zh+F3WfsZJNSyztTrvRP7EW7TdB/i7iPjrGo2kUxfV2llJSkQHkPaMOuom0l7jPsDgQvl5pD27wyU1kjY4bWktfuj4uoLqn4WAaRHxtcJyVpA2ekeRfuLiakk757pjSUdbO+TxymmfP0XEvDw8h7SBqPgvYEZEnN9O7MXYri+M7yvpK6RTbVuQ9vhvztNuqLLMB4GzJQ0jnfL6Q5Vl7A8couabHQbk9wXpf+PlKvMMIW3MKgT8u6RPkDbCQ2lxGqwdm5PW2xN5fBrpSHIe6bO6Mpf3za+78/gGpJ8ceT2/Zubl96WV05EF+wGXRnpgfBPg/RFxY572HGn9tvW+noqIh/Lwx0inAZcDSLqO9L1oaWtgeWF8GHCdpK1JSepP7cTc0l7ATyOdynxe0j3AR0kJ+ZGIeDbH80fSThGknbx9O7L8vJ6GVtZTRLxZmPwCsE1b87/Xr9k8BOwp6UMAkt6ndGHy96TzyR/N5Zvk89Z/Ie1Zt+Ze0uEquZ1tqb1D0JnAUZIG5/m3qFLndtIeOLnO5u202bL+qHbaCdK5+A+rcz9QdwXwzYhY0KJ8M5pvGJhYQzutxV9czweSNlYtPQj8vaTtcr1q67NoJnCEpC0L9VVph7QBGkI6FXU8aWP2H6SbIPrQvIFua6fiAVLCGNBOLBVv5g0JeZ4fAUdExC6kUzXFdirLXb3MiPgJcAhpT//Xkj5ZZRkCPhPNN9FsGxGL87TXq9Qnt1dc9vGkvfrdI13jej5PX8ma25hq7/sxUsJoTbDmOl1ciZX0Xfou6fPpX1j+X0gJpy3FnZGWO4kDSO+xtfcFa6+bWnZOW663H5COgHYB/rkwrZb1Vi3uouI6W1UYX0Xzd7K15bemreVV1lmrenuy2Uhr3vq8xt1oeU9kIvBTSfNJyefDkX4z52jgB5J+RzpUHUDaoxqZ2zq6yvJ+BPSVtAC4DpgYEW9VqbeWSN3vnA/ck5f5/SrVvgVsLmlhrrNvlTpFpwGj800Ai4DPt9dO3rgdQ9ooduhiZEQ0RcTFVSZ9B/gPSffT/sagrfjPBT4h6VHSnvmyKjEsJ/UCfkN+j9e1E/Mi0vWA2/N34Q7SKYZKO/9LOkr7ISlpvk76x90gv66ketIrupzUC8bPWrno3tbOTGVD8KLSTSxHtLMsJH0QeDIippCONnetUu3XwKn5aBdJH2mv3Yh4hfQ9r8S0GfBCRLyjdFPMB3L588CW+YaO/qTT1hWV93oXKUHuVNnpIx1NNlVZ9CLgQ5UdAtL2axjpaGEwsKmk/UhHJZVlbFiYfwXN37vbgc9L6hcRfyZd4D4sT9uR5mus1d5XSw8D++T3uQFwZCv1FpOueVQUd74mFMqXArsBSNoN2K7wforfj3tJNyz1ldQAfIJ0XaZWrS2/6vcwr6emynqS1F/Nd0/uQDrd17q2zrH55dd7+cWaN5j8Dvh0Lh9COuKZDVxG2og0UsM1ijx8LunaTZ8WyzuVdFR9dx5f0WL6t0jXDe4kJbdqbQ8Blubhr5GOHOYBt9F8k8RSmq/ZbEQ6vbcgbyzWunbWyrq5HNivrfWRp52WY74DuKoQ82dIR/3zgA/m9/AW6SL/06SjnX1I12WGFGK6jeYbHt4infKtXE95E3iWdA1vWp5nQS67kLSzUrlBYGPSDt2i/NmeS0p8i0g7Eh+s9XPOyyneIHBxtXVHOhp+jObrJIeSktpvcnyzCp/J7TnO/26xPn+y4jzkAAADYUlEQVSSP6f2bhC4pbDcWTR/P1ZPa2P5O+T1W+0GgRF5Pc0nnbL9YOG7fmpb/0/ursbM1lk+AjozIk6odyxdSdK/An+OiMtLav9i4OaIuLOM9utF0r2ku/Veaa1Obz+NZmYliIi5wN1d/PzP+uBV0g0KZfl32r95oUfJp/C+31aiAXfEaWZm3cBHNmZmVjonGzMzK52TjfU6au5Ac6FSf3fr1TlySV9vMd7R3rLX6IVcneyJurPzm7XFycZ6o0pv3zuT+gH7fHszdLOvtxjvUG/ZtNELudn6xsnGervfkB+kk/QLSXMkPSZpUi47WdJFlcpKPTh/X1KjpN9LuiwfIV0raT9J9yv13D0m1x8o6QqlXqnnSjo0l1ft6Ts/WFx52LjYxX9bvWWvtQxJG9KiF/JcvbUerc/M72OhpDMK5WdLelzSnaSHGc3KUe8H5/zyq6tfNHcI2o/U2++/5PHKQ40bkR6EG0zqdPKPNPf2/ACpI9ZGUrchu5B2yuaQuuER6WG4X+T6bXVk2VpP3y0f1myvt+y2ltGyY9hqPVrvTnrobyDpYcbHgI8Uyt9H6pF7CYUOGP3yqytf7/WOOK132khSpTPM35Cedgc4TdLheXg4qefrhyTdBRwkaTEp6SxQ6ij0T5H7d5P0GDAzIiJ3R9SY22mrI8uZEfFann8RqbuTp6sFHBHz8zKPJXVpU9TWMlr630hdJL0l6QVSx5F7ATdGxOs5lhtIT4b3yeVv5PKbWmnTrNOcbKw3qvzo2WqS9iH19Pt3EfGGpFk09zd2Gek6yu9p7mEYauvMsNKR5Rodrkr6GO339N1Sa71lt7WMllrr0bo1ftDOuoWv2dh7xWbAKznRfJj02zIARMTDpCOd4yhcK6nROndkCbyTO2xsqbXesltbRnu9kFfcCxym1Kv5QOBw0hHfvcDhSj/xvAnpN4DMSuFkY+8VtwH9co/O55F6+C6aQfrBvDa73KjiPNJ1kfmSFubx9kzN9Ys3CBCt95bd2jLa64W80u6jpE4wf0vqofiyiJiby68jXSO6npSAzErh7mrMgPxMy0URMbPesZj1Rj6ysfc0SYMkPUG6zuNEY1YSH9mYmVnpfGRjZmalc7IxM7PSOdmYmVnpnGzMzKx0TjZmZlY6JxszMyvd/wfs+PjtK5+3OQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i, predictor in enumerate(telco_data.drop(columns=['Churn', 'TotalCharges', 'MonthlyCharges'])):\n",
    "    plt.figure(i)\n",
    "    sns.countplot(data=telco_data, x=predictor, hue='Churn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "ef3b7da7e8098c932689dea77fd8cbde162b52cb"
   },
   "source": [
    "**2.** Convert the target variable 'Churn'  in a binary numeric variable i.e. Yes=1 ; No = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "_uuid": "a7ef7e130a32d73e886f0b4fa17d3f924fb5830a"
   },
   "outputs": [],
   "source": [
    "telco_data['Churn'] = np.where(telco_data.Churn == 'Yes',1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "_uuid": "44d677eed9647fde82fa5eb2479918c9c9713362"
   },
   "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>gender</th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>Partner</th>\n",
       "      <th>Dependents</th>\n",
       "      <th>PhoneService</th>\n",
       "      <th>MultipleLines</th>\n",
       "      <th>InternetService</th>\n",
       "      <th>OnlineSecurity</th>\n",
       "      <th>OnlineBackup</th>\n",
       "      <th>DeviceProtection</th>\n",
       "      <th>TechSupport</th>\n",
       "      <th>StreamingTV</th>\n",
       "      <th>StreamingMovies</th>\n",
       "      <th>Contract</th>\n",
       "      <th>PaperlessBilling</th>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "      <th>tenure_group</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>29.85</td>\n",
       "      <td>29.85</td>\n",
       "      <td>0</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>56.95</td>\n",
       "      <td>1889.50</td>\n",
       "      <td>0</td>\n",
       "      <td>25 - 36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>53.85</td>\n",
       "      <td>108.15</td>\n",
       "      <td>1</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</td>\n",
       "      <td>DSL</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>One year</td>\n",
       "      <td>No</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>42.30</td>\n",
       "      <td>1840.75</td>\n",
       "      <td>0</td>\n",
       "      <td>37 - 48</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Fiber optic</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>Month-to-month</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Electronic check</td>\n",
       "      <td>70.70</td>\n",
       "      <td>151.65</td>\n",
       "      <td>1</td>\n",
       "      <td>1 - 12</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   gender  SeniorCitizen Partner Dependents PhoneService     MultipleLines  \\\n",
       "0  Female              0     Yes         No           No  No phone service   \n",
       "1    Male              0      No         No          Yes                No   \n",
       "2    Male              0      No         No          Yes                No   \n",
       "3    Male              0      No         No           No  No phone service   \n",
       "4  Female              0      No         No          Yes                No   \n",
       "\n",
       "  InternetService OnlineSecurity OnlineBackup DeviceProtection TechSupport  \\\n",
       "0             DSL             No          Yes               No          No   \n",
       "1             DSL            Yes           No              Yes          No   \n",
       "2             DSL            Yes          Yes               No          No   \n",
       "3             DSL            Yes           No              Yes         Yes   \n",
       "4     Fiber optic             No           No               No          No   \n",
       "\n",
       "  StreamingTV StreamingMovies        Contract PaperlessBilling  \\\n",
       "0          No              No  Month-to-month              Yes   \n",
       "1          No              No        One year               No   \n",
       "2          No              No  Month-to-month              Yes   \n",
       "3          No              No        One year               No   \n",
       "4          No              No  Month-to-month              Yes   \n",
       "\n",
       "               PaymentMethod  MonthlyCharges  TotalCharges  Churn tenure_group  \n",
       "0           Electronic check           29.85         29.85      0       1 - 12  \n",
       "1               Mailed check           56.95       1889.50      0      25 - 36  \n",
       "2               Mailed check           53.85        108.15      1       1 - 12  \n",
       "3  Bank transfer (automatic)           42.30       1840.75      0      37 - 48  \n",
       "4           Electronic check           70.70        151.65      1       1 - 12  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "a5573e75c6d2e700b1ca0f85f7b9b275094126da"
   },
   "source": [
    "**3.** Convert all the categorical variables into dummy variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "_uuid": "b0aee7309706a4c00a0c07fc831329495da630ce",
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SeniorCitizen</th>\n",
       "      <th>MonthlyCharges</th>\n",
       "      <th>TotalCharges</th>\n",
       "      <th>Churn</th>\n",
       "      <th>gender_Female</th>\n",
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       "      <th>tenure_group_1 - 12</th>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>42.30</td>\n",
       "      <td>1840.75</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
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       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
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       "      <td>151.65</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
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       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 51 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   SeniorCitizen  MonthlyCharges  TotalCharges  Churn  gender_Female  \\\n",
       "0              0           29.85         29.85      0              1   \n",
       "1              0           56.95       1889.50      0              0   \n",
       "2              0           53.85        108.15      1              0   \n",
       "3              0           42.30       1840.75      0              0   \n",
       "4              0           70.70        151.65      1              1   \n",
       "\n",
       "   gender_Male  Partner_No  Partner_Yes  Dependents_No  Dependents_Yes  ...  \\\n",
       "0            0           0            1              1               0  ...   \n",
       "1            1           1            0              1               0  ...   \n",
       "2            1           1            0              1               0  ...   \n",
       "3            1           1            0              1               0  ...   \n",
       "4            0           1            0              1               0  ...   \n",
       "\n",
       "   PaymentMethod_Bank transfer (automatic)  \\\n",
       "0                                        0   \n",
       "1                                        0   \n",
       "2                                        0   \n",
       "3                                        1   \n",
       "4                                        0   \n",
       "\n",
       "   PaymentMethod_Credit card (automatic)  PaymentMethod_Electronic check  \\\n",
       "0                                      0                               1   \n",
       "1                                      0                               0   \n",
       "2                                      0                               0   \n",
       "3                                      0                               0   \n",
       "4                                      0                               1   \n",
       "\n",
       "   PaymentMethod_Mailed check  tenure_group_1 - 12  tenure_group_13 - 24  \\\n",
       "0                           0                    1                     0   \n",
       "1                           1                    0                     0   \n",
       "2                           1                    1                     0   \n",
       "3                           0                    0                     0   \n",
       "4                           0                    1                     0   \n",
       "\n",
       "   tenure_group_25 - 36  tenure_group_37 - 48  tenure_group_49 - 60  \\\n",
       "0                     0                     0                     0   \n",
       "1                     1                     0                     0   \n",
       "2                     0                     0                     0   \n",
       "3                     0                     1                     0   \n",
       "4                     0                     0                     0   \n",
       "\n",
       "   tenure_group_61 - 72  \n",
       "0                     0  \n",
       "1                     0  \n",
       "2                     0  \n",
       "3                     0  \n",
       "4                     0  \n",
       "\n",
       "[5 rows x 51 columns]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "telco_data_dummies = pd.get_dummies(telco_data)\n",
    "telco_data_dummies.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "bde233534639a29066109e9061737460134e1c08"
   },
   "source": [
    "**9. ** Relationship between Monthly Charges and Total Charges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "_uuid": "1780f7d5cd6125ca347e6023b1d1e871fe36fde0"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x20d8a9289e8>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(data=telco_data_dummies, x='MonthlyCharges', y='TotalCharges', fit_reg=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "9f5f9a41d7fc4eef9b8f9b04afbc3aceb3b41853"
   },
   "source": [
    "Total Charges increase as Monthly Charges increase - as expected."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "0b1896f1313b88e3e8b65c97aec56d2b96e87e21"
   },
   "source": [
    "**10. ** Churn by Monthly Charges and Total Charges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "_uuid": "3579147afd1d8bad3dd8ffcbdf4cbba5f5f5876d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Monthly charges by churn')"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Mth = sns.kdeplot(telco_data_dummies.MonthlyCharges[(telco_data_dummies[\"Churn\"] == 0) ],\n",
    "                color=\"Red\", shade = True)\n",
    "Mth = sns.kdeplot(telco_data_dummies.MonthlyCharges[(telco_data_dummies[\"Churn\"] == 1) ],\n",
    "                ax =Mth, color=\"Blue\", shade= True)\n",
    "Mth.legend([\"No Churn\",\"Churn\"],loc='upper right')\n",
    "Mth.set_ylabel('Density')\n",
    "Mth.set_xlabel('Monthly Charges')\n",
    "Mth.set_title('Monthly charges by churn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "758d5e017471d335a3947ea72b47980f93edda93"
   },
   "source": [
    "**Insight:** Churn is high when Monthly Charges ar high"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "_uuid": "0ff1683e472c29da849a00083cd2f45acdbb14b9"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\pattn\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kde.py:444: RuntimeWarning: invalid value encountered in greater\n",
      "  X = X[np.logical_and(X > clip[0], X < clip[1])] # will not work for two columns.\n",
      "C:\\Users\\pattn\\AppData\\Local\\Continuum\\anaconda3\\lib\\site-packages\\statsmodels\\nonparametric\\kde.py:444: RuntimeWarning: invalid value encountered in less\n",
      "  X = X[np.logical_and(X > clip[0], X < clip[1])] # will not work for two columns.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Total charges by churn')"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Tot = sns.kdeplot(telco_data_dummies.TotalCharges[(telco_data_dummies[\"Churn\"] == 0) ],\n",
    "                color=\"Red\", shade = True)\n",
    "Tot = sns.kdeplot(telco_data_dummies.TotalCharges[(telco_data_dummies[\"Churn\"] == 1) ],\n",
    "                ax =Tot, color=\"Blue\", shade= True)\n",
    "Tot.legend([\"No Churn\",\"Churn\"],loc='upper right')\n",
    "Tot.set_ylabel('Density')\n",
    "Tot.set_xlabel('Total Charges')\n",
    "Tot.set_title('Total charges by churn')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "52abae69d9243dce608dfa63a0ebe12de83e7eff"
   },
   "source": [
    "**Surprising insight ** as higher Churn at lower Total Charges\n",
    "\n",
    "However if we combine the insights of 3 parameters i.e. Tenure, Monthly Charges & Total Charges then the picture is bit clear :- Higher Monthly Charge at lower tenure results into lower Total Charge. Hence, all these 3 factors viz **Higher Monthly Charge**,  **Lower tenure** and **Lower Total Charge** are linkd to **High Churn**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "ddd26520d541b1a3d17848e73d4cd6b3fbdc32d5"
   },
   "source": [
    "**11. Build a corelation of all predictors with 'Churn' **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "_uuid": "57fad0b9bcd9188193c84ae48ea589123532eac8"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x20d8a979f98>"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,8))\n",
    "telco_data_dummies.corr()['Churn'].sort_values(ascending = False).plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "e4f114358ce3d568a34c1ac419623274a345812e"
   },
   "source": [
    "**Derived Insight: **\n",
    "\n",
    "**HIGH** Churn seen in case of  **Month to month contracts**, **No online security**, **No Tech support**, **First year of subscription** and **Fibre Optics Internet**\n",
    "\n",
    "**LOW** Churn is seens in case of **Long term contracts**, **Subscriptions without internet service** and **The customers engaged for 5+ years**\n",
    "\n",
    "Factors like **Gender**, **Availability of PhoneService** and **# of multiple lines** have alomost **NO** impact on Churn\n",
    "\n",
    "This is also evident from the **Heatmap** below"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "_uuid": "9cafbb06245f6162da782bf0aa99faa3f6f9029d"
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x1809ebfef60>"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x864 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "sns.heatmap(telco_data_dummies.corr(), cmap=\"Paired\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "_uuid": "53befd3d7cceb497a7426deb30a7884e20a47ad7"
   },
   "source": []
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bivariate Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df1_target0=telco_data.loc[telco_data[\"Churn\"]==0]\n",
    "new_df1_target1=telco_data.loc[telco_data[\"Churn\"]==1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def uniplot(df,col,title,hue =None):\n",
    "    \n",
    "    sns.set_style('whitegrid')\n",
    "    sns.set_context('talk')\n",
    "    plt.rcParams[\"axes.labelsize\"] = 20\n",
    "    plt.rcParams['axes.titlesize'] = 22\n",
    "    plt.rcParams['axes.titlepad'] = 30\n",
    "    \n",
    "    \n",
    "    temp = pd.Series(data = hue)\n",
    "    fig, ax = plt.subplots()\n",
    "    width = len(df[col].unique()) + 7 + 4*len(temp.unique())\n",
    "    fig.set_size_inches(width , 8)\n",
    "    plt.xticks(rotation=45)\n",
    "    plt.yscale('log')\n",
    "    plt.title(title)\n",
    "    ax = sns.countplot(data = df, x= col, order=df[col].value_counts().index,hue = hue,palette='bright') \n",
    "        \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target1,col='Partner',title='Distribution of Gender for Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target0,col='Partner',title='Distribution of Gender for Non Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target1,col='PaymentMethod',title='Distribution of PaymentMethod for Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target1,col='Contract',title='Distribution of Contract for Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target1,col='TechSupport',title='Distribution of TechSupport for Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 936x576 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "uniplot(new_df1_target1,col='SeniorCitizen',title='Distribution of SeniorCitizen for Churned Customers',hue='gender')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# CONCLUSION"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "These are some of the quick insights from this exercise:\n",
    "\n",
    "1. Electronic check medium are the highest churners\n",
    "2. Contract Type - Monthly customers are more likely to churn because of no contract terms, as they are free to go customers.\n",
    "3. No Online security, No Tech Support category are high churners\n",
    "4. Non senior Citizens are high churners\n",
    "\n",
    "Note: There could be many more such insights, so take this as an assignment and try to get more insights :)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "telco_data_dummies.to_csv('tel_churn.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}