{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "061e069f",
   "metadata": {},
   "source": [
    "# Churn Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0dce02b6",
   "metadata": {},
   "source": [
    "**Dataset Info:**\n",
    "Sample Data Set containing customer data and showing customers left last month"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2328f93a",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d63475f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "df=pd.read_csv('../Data/Customer-Churn.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1efd9626",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.frame.DataFrame"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(df)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "51cba554",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    }\n",
       "\n",
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       "</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",
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       "      <td>No</td>\n",
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       "      <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",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7038</th>\n",
       "      <td>6840-RESVB</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>24</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</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>Yes</td>\n",
       "      <td>One year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Mailed check</td>\n",
       "      <td>84.80</td>\n",
       "      <td>1990.5</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7039</th>\n",
       "      <td>2234-XADUH</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>72</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Fiber optic</td>\n",
       "      <td>No</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>No</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>One year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Credit card (automatic)</td>\n",
       "      <td>103.20</td>\n",
       "      <td>7362.9</td>\n",
       "      <td>No</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7040</th>\n",
       "      <td>4801-JZAZL</td>\n",
       "      <td>Female</td>\n",
       "      <td>0</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>11</td>\n",
       "      <td>No</td>\n",
       "      <td>No phone service</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>Electronic check</td>\n",
       "      <td>29.60</td>\n",
       "      <td>346.45</td>\n",
       "      <td>No</td>\n",
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       "    <tr>\n",
       "      <th>7041</th>\n",
       "      <td>8361-LTMKD</td>\n",
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       "      <td>Yes</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>Mailed check</td>\n",
       "      <td>74.40</td>\n",
       "      <td>306.6</td>\n",
       "      <td>Yes</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7042</th>\n",
       "      <td>3186-AJIEK</td>\n",
       "      <td>Male</td>\n",
       "      <td>0</td>\n",
       "      <td>No</td>\n",
       "      <td>No</td>\n",
       "      <td>66</td>\n",
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       "      <td>Yes</td>\n",
       "      <td>...</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Two year</td>\n",
       "      <td>Yes</td>\n",
       "      <td>Bank transfer (automatic)</td>\n",
       "      <td>105.65</td>\n",
       "      <td>6844.5</td>\n",
       "      <td>No</td>\n",
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      ],
      "text/plain": [
       "      customerID  gender  SeniorCitizen Partner Dependents  tenure  \\\n",
       "0     7590-VHVEG  Female              0     Yes         No       1   \n",
       "1     5575-GNVDE    Male              0      No         No      34   \n",
       "2     3668-QPYBK    Male              0      No         No       2   \n",
       "3     7795-CFOCW    Male              0      No         No      45   \n",
       "4     9237-HQITU  Female              0      No         No       2   \n",
       "...          ...     ...            ...     ...        ...     ...   \n",
       "7038  6840-RESVB    Male              0     Yes        Yes      24   \n",
       "7039  2234-XADUH  Female              0     Yes        Yes      72   \n",
       "7040  4801-JZAZL  Female              0     Yes        Yes      11   \n",
       "7041  8361-LTMKD    Male              1     Yes         No       4   \n",
       "7042  3186-AJIEK    Male              0      No         No      66   \n",
       "\n",
       "     PhoneService     MultipleLines InternetService OnlineSecurity  ...  \\\n",
       "0              No  No phone service             DSL             No  ...   \n",
       "1             Yes                No             DSL            Yes  ...   \n",
       "2             Yes                No             DSL            Yes  ...   \n",
       "3              No  No phone service             DSL            Yes  ...   \n",
       "4             Yes                No     Fiber optic             No  ...   \n",
       "...           ...               ...             ...            ...  ...   \n",
       "7038          Yes               Yes             DSL            Yes  ...   \n",
       "7039          Yes               Yes     Fiber optic             No  ...   \n",
       "7040           No  No phone service             DSL            Yes  ...   \n",
       "7041          Yes               Yes     Fiber optic             No  ...   \n",
       "7042          Yes                No     Fiber optic            Yes  ...   \n",
       "\n",
       "     DeviceProtection TechSupport StreamingTV StreamingMovies        Contract  \\\n",
       "0                  No          No          No              No  Month-to-month   \n",
       "1                 Yes          No          No              No        One year   \n",
       "2                  No          No          No              No  Month-to-month   \n",
       "3                 Yes         Yes          No              No        One year   \n",
       "4                  No          No          No              No  Month-to-month   \n",
       "...               ...         ...         ...             ...             ...   \n",
       "7038              Yes         Yes         Yes             Yes        One year   \n",
       "7039              Yes          No         Yes             Yes        One year   \n",
       "7040               No          No          No              No  Month-to-month   \n",
       "7041               No          No          No              No  Month-to-month   \n",
       "7042              Yes         Yes         Yes             Yes        Two year   \n",
       "\n",
       "     PaperlessBilling              PaymentMethod MonthlyCharges  TotalCharges  \\\n",
       "0                 Yes           Electronic check          29.85         29.85   \n",
       "1                  No               Mailed check          56.95        1889.5   \n",
       "2                 Yes               Mailed check          53.85        108.15   \n",
       "3                  No  Bank transfer (automatic)          42.30       1840.75   \n",
       "4                 Yes           Electronic check          70.70        151.65   \n",
       "...               ...                        ...            ...           ...   \n",
       "7038              Yes               Mailed check          84.80        1990.5   \n",
       "7039              Yes    Credit card (automatic)         103.20        7362.9   \n",
       "7040              Yes           Electronic check          29.60        346.45   \n",
       "7041              Yes               Mailed check          74.40         306.6   \n",
       "7042              Yes  Bank transfer (automatic)         105.65        6844.5   \n",
       "\n",
       "     Churn  \n",
       "0       No  \n",
       "1       No  \n",
       "2      Yes  \n",
       "3       No  \n",
       "4      Yes  \n",
       "...    ...  \n",
       "7038    No  \n",
       "7039    No  \n",
       "7040    No  \n",
       "7041   Yes  \n",
       "7042    No  \n",
       "\n",
       "[7043 rows x 21 columns]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "2cbc7628",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th>customerID</th>\n",
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       "      <th>0</th>\n",
       "      <td>7590-VHVEG</td>\n",
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       "      <td>5575-GNVDE</td>\n",
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       "      <td>No</td>\n",
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       "      <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",
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       "      <td>No</td>\n",
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       "      <td>3668-QPYBK</td>\n",
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       "      <td>...</td>\n",
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       "      <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",
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       "      <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": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ae0940c",
   "metadata": {},
   "source": [
    "Check the various attributes of data like shape (rows and cols), Columns, datatypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0f01e0ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7043, 21)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "56ba7529",
   "metadata": {},
   "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": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns.values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d1ede8a5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['customerID', 'gender', 'SeniorCitizen', 'Partner', 'Dependents',\n",
       "       'tenure', 'PhoneService', 'MultipleLines', 'InternetService',\n",
       "       'OnlineSecurity', 'OnlineBackup', 'DeviceProtection', 'TechSupport',\n",
       "       'StreamingTV', 'StreamingMovies', 'Contract', 'PaperlessBilling',\n",
       "       'PaymentMethod', 'MonthlyCharges', 'TotalCharges', 'Churn'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "794bc137",
   "metadata": {},
   "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": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f02c7ac3",
   "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>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": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e2bafdaf",
   "metadata": {},
   "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": 11,
   "id": "728022cd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Churn\n",
       "No     5174\n",
       "Yes    1869\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Churn'].value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "610cb747",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Churn\n",
       "No     73.463013\n",
       "Yes    26.536987\n",
       "Name: count, dtype: float64"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Churn'].value_counts()/len(df)*100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "99d518f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='Churn'>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Churn'].value_counts().plot(kind='barh')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "9bc23614",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='Churn'>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAKjdATNt2rT49Kc/Haeeemq0b98+rrzyyli3bl2VMXv37o2xY8dG27Zt45RTTokRI0bEli1bqozZsGFDDBs2LJo3b17s57bbbouDBw9WGfP8889H3759o0mTJtGtW7eYO3fu8fycAEBdDZgXXnihiJOXXnopli5dGgcOHIghQ4bE7t27y2PGjx8fCxYsiCeffLIYv2nTphg+fHh5+6FDh4p42b9/f7z44osxb968Ik6mTJlSHrN+/fpizKBBg2LVqlUxbty4uPHGG2PJkiUn6ucGADJWr6KiouJYv/mdd94pZlBSqHz2s5+N7du3R7t27eKxxx6Lq6++uhizdu3a6NGjR6xYsSIGDBgQzzzzTHzhC18owqZDhw7FmNmzZ8ftt99e7K9x48bF14sWLYrXX3+9/Gddc801sW3btli8ePHHOrYdO3ZEq1atimNq2bJl1CVn37Goug+Bk+ite4b5fQO1xsf99/u4roFJO0/atGlTPK9cubKYlRk8eHB5TPfu3ePMM88sAiZJz7169SrHSzJ06NDigNesWVMeU3kfpTGlfQAAdVvDY/3Gw4cPF6d2LrzwwjjvvPOK9zZv3lzMoLRu3brK2BQraVtpTOV4KW0vbfuwMSly9uzZE82aNXvf8ezbt694lKSxAEDtdMwzMOlamHSK5/HHH4+aIF1gnKacSo8uXbpU9yEBADUpYG655ZZYuHBhPPfcc9G5c+fy+x07diwuzk3XqlSWViGlbaUx712VVHr9UWPSubAjzb4kkyZNKk5plR4bN248lh8NAKhtAZOu903x8tRTT8Xy5cuja9euVbb369cvGjVqFMuWLSu/l5ZZp2XTAwcOLF6n59WrV8fWrVvLY9KKphQnPXv2LI+pvI/SmNI+jiQtt077qPwAAGqnhkd72iitMPrXf/3X4l4wpWtW0imbNDOSnkePHh0TJkwoLuxNEXHrrbcW4ZFWICVp2XUKlWuvvTamT59e7GPy5MnFvlOEJGPGjImHH344Jk6cGDfccEMRS/Pnzy9WJgEAHNUMzKxZs4rTM3/yJ38SZ5xxRvnxxBNPlMfMmDGjWCadbmCXllan00E//vGPy9sbNGhQnH5Kzyls/vRP/zSuu+66mDp1anlMmtlJsZJmXc4///y47777Ys6cOcVKJACA47oPTE3mPjDUFe4DA9QmJ+U+MAAA1UHAAAB150Z2AJx8PiqkbnGK+IOZgQEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDsCBgAIDsCBgDIjoABALIjYACA7Bx1wPz0pz+NL37xi9GpU6eoV69ePP3001W2V1RUxJQpU+KMM86IZs2axeDBg+PNN9+sMubdd9+NkSNHRsuWLaN169YxevTo2LVrV5Uxv/zlL+Piiy+Opk2bRpcuXWL69OnH+jMCAHU9YHbv3h3nn39+zJw584jbU2g89NBDMXv27Hj55ZejRYsWMXTo0Ni7d295TIqXNWvWxNKlS2PhwoVFFP35n/95efuOHTtiyJAhcdZZZ8XKlSvj3nvvjTvvvDO+/e1vH+vPCQDUIg2P9hsuu+yy4nEkafblgQceiMmTJ8cVV1xRvPfoo49Ghw4dipmaa665Jn71q1/F4sWL49VXX40LLrigGPOtb30rLr/88viHf/iHYmbnRz/6Uezfvz++973vRePGjePcc8+NVatWxf33318ldACAuumEXgOzfv362Lx5c3HaqKRVq1bRv3//WLFiRfE6PafTRqV4SdL4+vXrFzM2pTGf/exni3gpSbM469ati//5n/85kYcMANSFGZgPk+IlSTMulaXXpW3puX379lUPomHDaNOmTZUxXbt2fd8+SttOO+209/3Z+/btKx6VT0MBALVTrVmFNG3atGK2p/RIF/4CALXTCQ2Yjh07Fs9btmyp8n56XdqWnrdu3Vpl+8GDB4uVSZXHHGkflf+M95o0aVJs3769/Ni4ceMJ/MkAgFobMOm0TwqMZcuWVTmVk65tGThwYPE6PW/btq1YXVSyfPnyOHz4cHGtTGlMWpl04MCB8pi0YulTn/rUEU8fJU2aNCmWZVd+AAC101EHTLpfS1oRlB6lC3fT1xs2bCjuCzNu3Lj427/92/jJT34Sq1evjuuuu65YWXTllVcW43v06BGXXnpp3HTTTfHKK6/Ez372s7jllluKFUppXPK1r32tuIA33R8mLbd+4okn4sEHH4wJEyac6J8fAKgLF/H+/Oc/j0GDBpVfl6Ji1KhRMXfu3Jg4cWJxr5i03DnNtFx00UXFsul0Q7qStEw6RcvnPve5YvXRiBEjinvHlKRrWJ599tkYO3Zs9OvXL04//fTi5niWUAMASb2KdPOWWiidukohlK6HqWunk86+Y1F1HwIn0Vv3DPP7rkP8/a5b6uLf7x0f89/vWrMKCQCoOwQMAJAdAQMAZEfAAADZETAAQHYEDACQHQEDAGRHwAAA2REwAEB2BAwAkB0BAwBkR8AAANkRMABAdgQMAJAdAQMAZEfAAADZETAAQHYEDACQHQEDAGRHwAAA2REwAEB2BAwAkB0BAwBkR8AAANkRMABAdgQMAJAdAQMAZEfAAADZETAAQHYEDACQHQEDAGRHwAAA2REwAEB2BAwAkB0BAwBkR8AAANkRMABAdgQMAJAdAQMAZEfAAADZETAAQHYEDACQHQEDAGRHwAAA2REwAEB2BAwAkB0BAwBkR8AAANkRMABAdgQMAJAdAQMAZEfAAADZETAAQHYEDACQHQEDAGRHwAAA2REwAEB2anTAzJw5M84+++xo2rRp9O/fP1555ZXqPiQAoAaosQHzxBNPxIQJE+Ib3/hGvPbaa3H++efH0KFDY+vWrdV9aABANauxAXP//ffHTTfdFNdff3307NkzZs+eHc2bN4/vfe971X1oAEA1q5EBs3///li5cmUMHjy4/F79+vWL1ytWrKjWYwMAql/DqIF+97vfxaFDh6JDhw5V3k+v165de8Tv2bdvX/Eo2b59e/G8Y8eOqGsO7/vf6j4ETqK6+H/jdZm/33VLXfz7veP//cwVFRX5BcyxmDZtWtx1113ve79Lly7VcjxwsrR6wO8aaqu6/Pd7586d0apVq7wC5vTTT48GDRrEli1bqryfXnfs2PGI3zNp0qTiot+Sw4cPx7vvvhtt27aNevXq/cGPmeov9hSrGzdujJYtW/qfA2oRf7/rloqKiiJeOnXq9KHjamTANG7cOPr16xfLli2LK6+8shwk6fUtt9xyxO9p0qRJ8aisdevWJ+V4qTlSvAgYqJ38/a47Wn3IzEuNDpgkzaaMGjUqLrjggvjMZz4TDzzwQOzevbtYlQQA1G01NmC+8pWvxDvvvBNTpkyJzZs3R58+fWLx4sXvu7AXAKh7amzAJOl00QedMoLK0unDdNPD955GBPLn7zdHUq/io9YpAQDUMDXyRnYAAB9GwAAA2REwAEB2BAwANcqePXvif//3/38kyn/9138Vt9J49tlnq/W4qFkEDAA1yhVXXBGPPvpo8fW2bduif//+cd999xXvz5o1q7oPjxpCwFArpMV0FtRB7fDaa6/FxRdfXHz9z//8z8X9v9IsTIqahx56qLoPjxpCwJC19P/QevXqFc2aNSsevXv3jh/84AfVfVjAcUinj0499dTi63TaaPjw4VG/fv0YMGBAETKQCBiydf/998fNN98cl19+ecyfP794XHrppTFmzJiYMWNGdR8ecIy6desWTz/9dPHhrEuWLIkhQ4YU72/dutVnnVHmRnZkq2vXrnHXXXfFddddV+X9efPmxZ133hnr16+vtmMDjl06bfS1r30tDh06FJdcckksXbq0eH/atGnx05/+NJ555hm/XgQM+WratGm8/vrrxX+tVfbmm28Wp5X27t1bbccGHJ/0GXhvv/12nH/++cXpo+SVV14pZmC6d+/u14tTSOQrhUs6bfReTzzxRHziE5+olmMCToyOHTsW18Gk2Ze0rDr59Kc/LV7I48Mc4cOk00fpU8vTlPKFF15YvPezn/0sli1bdsSwAfLw+9//Pr785S/Hc889F/Xq1StmVc8555wYPXp0nHbaacWSanARL9kaMWJEvPzyy9G2bdvigr/0OP3004tp5quuuqq6Dw84RuPHj49GjRrFhg0bonnz5uX303+wLF682O+Vgot4Aahxp4/S6qN0/Us6jfSLX/yimIH57W9/W9wqYdeuXdV9iNQATiGRnXRBX5pW/jBp+8GDB0/aMQEnzu7du6vMvJS8++670aRJE79qCgKG7Dz11FMfuG3FihXFnToPHz58Uo8JOH6bNm2KTp06FXfhTTepvPvuu8v/QZL+Tk+fPj0GDRrkV03BKSRqhXXr1sUdd9wRCxYsiJEjR8bUqVPjrLPOqu7DAo5CukB35syZxamjdP+Xvn37xvLly+NLX/pSrFmzppiBSRfq/9Ef/ZHfKy7iJf//YrvpppuK+76kU0arVq0qbmQnXiA/f/d3fxd/8Rd/UdyI8o033oiLLrqo+ADHdEopfZzAf/7nf4oXyszAkKXt27fHN7/5zfjWt74Vffr0ib//+78vf/gbkK90B+20XDoFzLe//e1i9gWORMCQnXQePAVLWqmQIib9FxpQuzz88MPFcuoePXpEw4YN3/dp1SBgyHIVUvrk6cGDB0eDBg0+cNyPf/zjk3pcwImRPnH6+uuvLz4qJJ1Sem/AfOMb3/Crxiok8pM+vPGjllEDefrOd74TX//614v/QEkX7rZr1666D4kaygwMADXCpZdeWtxJ+4EHHnjfp8zDe7kPDAA1wqFDh+KXv/xldO7cuboPhQyYgQEAsuPDHAGA7AgYACA7AgYAyI6AAQCyI2AAgOwIGKBGSTcpfPrpp6v7MIAaTsAAJ9XmzZvj1ltvjXPOOSeaNGkSXbp0iS9+8YuxbNky/0sAH5sb2QEnzVtvvRUXXnhhtG7dOu69997o1atXHDhwIJYsWRJjx46NtWvX/kH+3P3790fjxo3/IPsGqocZGOCk+cu//MviFFG6XfyIESPik5/8ZJx77rkxYcKEeOmll8rjfve738VVV10VzZs3j0984hPxk5/8pLxt7ty5RQBVlk45Vf58rDvvvDP69OkTc+bMia5du0bTpk2L99OY9N4H7RvIh4ABTop33303Fi9eXMy0tGjR4n3bK0fJXXfdFV/+8peL28pffvnlMXLkyOL7j8avf/3r+Jd/+ZfiU8lXrVp1QvcNVD8BA5wUKSgqKiqie/fuHzn2z/7sz+KrX/1qdOvWLb75zW/Grl27ilmboz1t9Oijj8Yf//EfR+/evU/ovoHqJ2CAkyLFy8dVOTjSbE3Lli1j69atR/XnnXXWWdGuXbs/yL6B6idggJMiXW+SrkH5OBfqNmrUqMrr9H2HDx8uvq5fv/77YihdCPxeRzpN9VH7BvIhYICTok2bNjF06NCYOXNm7N69+33bt23b9rH2k2ZVdu7cWWUfla9xAeoGAQOcNCleDh06FJ/5zGeKC2zffPPN+NWvfhUPPfRQDBw48GPto3///sUKor/5m7+J3/zmN/HYY48VK5OAukXAACdNunnda6+9FoMGDYqvf/3rcd5558XnP//54iZ2s2bN+tgzOT/84Q/j3/7t34r7yPzTP/1TsWwaqFvqVRzNlXUAADWAGRgAIDsCBgDIjoABALIjYACA7AgYACA7AgYAyI6AAQCyI2AAgOwIGAAgOwIGAMiOgAEAsiNgAIDIzf8BBObfWmP2bPsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Churn'].value_counts().plot(kind='bar')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4c164480",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: ylabel='count'>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Churn'].value_counts().plot(kind='pie')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "38a3acf0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 400x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['Churn'].value_counts().plot(kind='barh',figsize=(4,2))\n",
    "plt.xlabel(\"Count\")\n",
    "plt.ylabel(\"Target Variable \")\n",
    "plt.title(\"Count of Target Variable per Category\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1d912cdd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Churn\n",
       "No     73.463013\n",
       "Yes    26.536987\n",
       "Name: count, dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "100*df['Churn'].value_counts()/len(df['Churn'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "ccab28a4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Churn\n",
       "No     5174\n",
       "Yes    1869\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['Churn'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0a08fb33",
   "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": 19,
   "id": "7d932f38",
   "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",
      " #   Column            Non-Null Count  Dtype  \n",
      "---  ------            --------------  -----  \n",
      " 0   customerID        7043 non-null   object \n",
      " 1   gender            7043 non-null   object \n",
      " 2   SeniorCitizen     7043 non-null   int64  \n",
      " 3   Partner           7043 non-null   object \n",
      " 4   Dependents        7043 non-null   object \n",
      " 5   tenure            7043 non-null   int64  \n",
      " 6   PhoneService      7043 non-null   object \n",
      " 7   MultipleLines     7043 non-null   object \n",
      " 8   InternetService   7043 non-null   object \n",
      " 9   OnlineSecurity    7043 non-null   object \n",
      " 10  OnlineBackup      7043 non-null   object \n",
      " 11  DeviceProtection  7043 non-null   object \n",
      " 12  TechSupport       7043 non-null   object \n",
      " 13  StreamingTV       7043 non-null   object \n",
      " 14  StreamingMovies   7043 non-null   object \n",
      " 15  Contract          7043 non-null   object \n",
      " 16  PaperlessBilling  7043 non-null   object \n",
      " 17  PaymentMethod     7043 non-null   object \n",
      " 18  MonthlyCharges    7043 non-null   float64\n",
      " 19  TotalCharges      7043 non-null   object \n",
      " 20  Churn             7043 non-null   object \n",
      "dtypes: float64(1), int64(2), object(18)\n",
      "memory usage: 1.1+ MB\n"
     ]
    }
   ],
   "source": [
    "df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0fb38232",
   "metadata": {},
   "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        0\n",
       "Churn               0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "4e82c223",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "missing=pd.DataFrame((df.isnull().sum())*100/df.shape[0]).reset_index()\n",
    "plt.figure(figsize=(16,5))\n",
    "sns.pointplot(data=missing,x='index',y=0)\n",
    "plt.xticks(rotation=90,fontsize=7)\n",
    "plt.title(\"Percentage of Missing Values\")\n",
    "plt.ylabel(\"Percentage\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6c5668a3",
   "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",
   "id": "65f82592",
   "metadata": {},
   "source": [
    "## Data Cleaning\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "280357a0",
   "metadata": {},
   "source": [
    "**1.** Create a copy of base data for manupulation & processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "57569518",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df=df.copy()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55b5316b",
   "metadata": {},
   "source": [
    "**2.** Total Charges should be numeric amount. Let's convert it to numerical data type"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "3a6c35e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df.TotalCharges=pd.to_numeric(new_df.TotalCharges,errors='coerce')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "4e68f431",
   "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",
      " #   Column            Non-Null Count  Dtype  \n",
      "---  ------            --------------  -----  \n",
      " 0   customerID        7043 non-null   object \n",
      " 1   gender            7043 non-null   object \n",
      " 2   SeniorCitizen     7043 non-null   int64  \n",
      " 3   Partner           7043 non-null   object \n",
      " 4   Dependents        7043 non-null   object \n",
      " 5   tenure            7043 non-null   int64  \n",
      " 6   PhoneService      7043 non-null   object \n",
      " 7   MultipleLines     7043 non-null   object \n",
      " 8   InternetService   7043 non-null   object \n",
      " 9   OnlineSecurity    7043 non-null   object \n",
      " 10  OnlineBackup      7043 non-null   object \n",
      " 11  DeviceProtection  7043 non-null   object \n",
      " 12  TechSupport       7043 non-null   object \n",
      " 13  StreamingTV       7043 non-null   object \n",
      " 14  StreamingMovies   7043 non-null   object \n",
      " 15  Contract          7043 non-null   object \n",
      " 16  PaperlessBilling  7043 non-null   object \n",
      " 17  PaymentMethod     7043 non-null   object \n",
      " 18  MonthlyCharges    7043 non-null   float64\n",
      " 19  TotalCharges      7032 non-null   float64\n",
      " 20  Churn             7043 non-null   object \n",
      "dtypes: float64(2), int64(2), object(17)\n",
      "memory usage: 1.1+ MB\n"
     ]
    }
   ],
   "source": [
    "new_df.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "856a4184",
   "metadata": {},
   "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": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.isnull().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "7264f900",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "missing=pd.DataFrame((new_df.isnull().sum())*100/new_df.shape[0]).reset_index()\n",
    "plt.figure(figsize=(16,5))\n",
    "sns.pointplot(data=missing,x='index',y=0)\n",
    "plt.xticks(rotation=90,fontsize=7)\n",
    "plt.title(\"Percentage of Missing Values\")\n",
    "plt.ylabel(\"Percentage\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cfd5e8ba",
   "metadata": {},
   "source": [
    "**3.** As we can see there are 11 missing values in TotalCharges column. Let's check these records "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "ed2aeaed",
   "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>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": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.loc[new_df['TotalCharges'].isnull()==True]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d94f027a",
   "metadata": {},
   "source": [
    "**4. Missing Value Treatement**"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1e0cf586",
   "metadata": {},
   "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": 28,
   "id": "0c0795d9",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df.dropna(how='any',inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "da9fd667",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<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",
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       "      <th>...</th>\n",
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       "      <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>1889.50</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       1889.50     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": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "3799285a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(7032, 21)"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "87b12626",
   "metadata": {},
   "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": 31,
   "id": "15d13384",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "72\n"
     ]
    }
   ],
   "source": [
    "print(new_df['tenure'].max())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "06935ab5",
   "metadata": {},
   "outputs": [],
   "source": [
    "labels=['1-12','13-24','25-36','37-48','49-60','61-72']\n",
    "bins=[0,12,24,36,48,60,72]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "1926d161",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df['tenure_group']=pd.cut(new_df['tenure'],labels=labels,bins=bins,include_lowest=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "e17a8897",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "tenure_group\n",
       "1-12     2175\n",
       "61-72    1407\n",
       "13-24    1024\n",
       "25-36     832\n",
       "49-60     832\n",
       "37-48     762\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df['tenure_group'].value_counts()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7dbaa6aa",
   "metadata": {},
   "source": [
    "**6.** Remove columns not required for processing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "7aee016c",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df.drop(columns=['customerID','tenure'],axis=1,inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "ee740cc0",
   "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>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": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5957f4a1",
   "metadata": {},
   "source": [
    "## Data Exploration\n",
    "**1. ** Plot distibution of individual predictors by churn"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8457f691",
   "metadata": {},
   "source": [
    "### Univariate Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "97754391",
   "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>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": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.head(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "cf29290f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Churn\n",
       "No     73.421502\n",
       "Yes    26.578498\n",
       "Name: count, dtype: float64"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.Churn.value_counts()/len(new_df)*100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "ff0ac7b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='SeniorCitizen', ylabel='count'>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data=new_df,x='SeniorCitizen',hue='Churn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "ceb03c11",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: xlabel='gender', ylabel='count'>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.countplot(data=new_df,x='gender',hue='Churn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "a99bbb9a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i,predictor in enumerate(new_df.drop(columns=['Churn','TotalCharges','MonthlyCharges'])):\n",
    "    plt.figure(i)\n",
    "    sns.countplot(data=new_df,x=predictor,hue='Churn')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "41db2e99",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SeniorCitizen\n",
       "0    5890\n",
       "1    1142\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.SeniorCitizen.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "f730b2f7",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df1_target0=new_df[new_df['Churn']=='No']\n",
    "new_df1_target1=new_df[new_df['Churn']=='Yes']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "f5ee5a75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SeniorCitizen\n",
       "0    1393\n",
       "1     476\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df1_target1.SeniorCitizen.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "883222fe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "gender\n",
       "Male      3549\n",
       "Female    3483\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.gender.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "2af01d75",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "gender\n",
       "Female    939\n",
       "Male      930\n",
       "Name: count, dtype: int64"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df1_target1.gender.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "d7e3c85f",
   "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>Churn</th>\n",
       "      <th>No</th>\n",
       "      <th>Yes</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PaymentMethod</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Bank transfer (automatic)</th>\n",
       "      <td>1284</td>\n",
       "      <td>258</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Credit card (automatic)</th>\n",
       "      <td>1289</td>\n",
       "      <td>232</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Electronic check</th>\n",
       "      <td>1294</td>\n",
       "      <td>1071</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mailed check</th>\n",
       "      <td>1296</td>\n",
       "      <td>308</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "Churn                        No   Yes\n",
       "PaymentMethod                        \n",
       "Bank transfer (automatic)  1284   258\n",
       "Credit card (automatic)    1289   232\n",
       "Electronic check           1294  1071\n",
       "Mailed check               1296   308"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pd.crosstab(new_df.PaymentMethod,new_df.Churn)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b04632d1",
   "metadata": {},
   "source": [
    "**2.** Convert the target variable 'Churn'  in a binary numeric variable i.e. Yes=1 ; No = 0"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d44b3e09",
   "metadata": {},
   "source": [
    "## Univariate Insights [TO DO]\n",
    "\n",
    "- Senior Citizens are more likely to churn\n",
    "- Monthly customers are more likely to churn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "af39e570",
   "metadata": {},
   "outputs": [],
   "source": [
    "new_df['Churn']=np.where(new_df.Churn=='Yes',1,0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "a5549512",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    }\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>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": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d92b4e1d",
   "metadata": {},
   "source": [
    "**3.** Convert all the categorical variables into dummy variables"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "id": "6a10011f",
   "metadata": {},
   "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",
       "      <th>gender_Male</th>\n",
       "      <th>Partner_No</th>\n",
       "      <th>Partner_Yes</th>\n",
       "      <th>Dependents_No</th>\n",
       "      <th>Dependents_Yes</th>\n",
       "      <th>...</th>\n",
       "      <th>PaymentMethod_Bank transfer (automatic)</th>\n",
       "      <th>PaymentMethod_Credit card (automatic)</th>\n",
       "      <th>PaymentMethod_Electronic check</th>\n",
       "      <th>PaymentMethod_Mailed check</th>\n",
       "      <th>tenure_group_1-12</th>\n",
       "      <th>tenure_group_13-24</th>\n",
       "      <th>tenure_group_25-36</th>\n",
       "      <th>tenure_group_37-48</th>\n",
       "      <th>tenure_group_49-60</th>\n",
       "      <th>tenure_group_61-72</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
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       "      <td>29.85</td>\n",
       "      <td>0</td>\n",
       "      <td>True</td>\n",
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       "      <td>False</td>\n",
       "      <td>...</td>\n",
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       "      <td>False</td>\n",
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       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>56.95</td>\n",
       "      <td>1889.50</td>\n",
       "      <td>0</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
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       "      <td>False</td>\n",
       "      <td>False</td>\n",
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       "      <td>1</td>\n",
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       "      <td>True</td>\n",
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       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
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       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <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>False</td>\n",
       "      <td>True</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>70.70</td>\n",
       "      <td>151.65</td>\n",
       "      <td>1</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>...</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>True</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</td>\n",
       "      <td>False</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           True   \n",
       "1              0           56.95       1889.50      0          False   \n",
       "2              0           53.85        108.15      1          False   \n",
       "3              0           42.30       1840.75      0          False   \n",
       "4              0           70.70        151.65      1           True   \n",
       "\n",
       "   gender_Male  Partner_No  Partner_Yes  Dependents_No  Dependents_Yes  ...  \\\n",
       "0        False       False         True           True           False  ...   \n",
       "1         True        True        False           True           False  ...   \n",
       "2         True        True        False           True           False  ...   \n",
       "3         True        True        False           True           False  ...   \n",
       "4        False        True        False           True           False  ...   \n",
       "\n",
       "   PaymentMethod_Bank transfer (automatic)  \\\n",
       "0                                    False   \n",
       "1                                    False   \n",
       "2                                    False   \n",
       "3                                     True   \n",
       "4                                    False   \n",
       "\n",
       "   PaymentMethod_Credit card (automatic)  PaymentMethod_Electronic check  \\\n",
       "0                                  False                            True   \n",
       "1                                  False                           False   \n",
       "2                                  False                           False   \n",
       "3                                  False                           False   \n",
       "4                                  False                            True   \n",
       "\n",
       "   PaymentMethod_Mailed check  tenure_group_1-12  tenure_group_13-24  \\\n",
       "0                       False               True               False   \n",
       "1                        True              False               False   \n",
       "2                        True               True               False   \n",
       "3                       False              False               False   \n",
       "4                       False               True               False   \n",
       "\n",
       "   tenure_group_25-36  tenure_group_37-48  tenure_group_49-60  \\\n",
       "0               False               False               False   \n",
       "1                True               False               False   \n",
       "2               False               False               False   \n",
       "3               False                True               False   \n",
       "4               False               False               False   \n",
       "\n",
       "   tenure_group_61-72  \n",
       "0               False  \n",
       "1               False  \n",
       "2               False  \n",
       "3               False  \n",
       "4               False  \n",
       "\n",
       "[5 rows x 51 columns]"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df_dummies=pd.get_dummies(new_df)\n",
    "new_df_dummies.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1371f1af",
   "metadata": {},
   "source": [
    "**9.** Relationship between Monthly Charges and Total Charges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "91d03a17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<seaborn.axisgrid.FacetGrid at 0x286e5a43220>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.lmplot(data=new_df_dummies,x='MonthlyCharges',y='TotalCharges',fit_reg=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "36e3f827",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.6510648032262025"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new_df_dummies['MonthlyCharges'].corr(new_df_dummies['TotalCharges'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8afaedb1",
   "metadata": {},
   "source": [
    "Total Charges increase as Monthly Charges increase - as expected."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d1e6e85",
   "metadata": {},
   "source": [
    "**10.** Churn by Monthly Charges and Total Charges"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "775a0157",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Mth=sns.kdeplot(new_df_dummies.MonthlyCharges[(new_df_dummies['Churn']==0)],\n",
    "                color='Red',shade=True)\n",
    "Mth=sns.kdeplot(new_df_dummies.MonthlyCharges[(new_df_dummies['Churn']==1)],\n",
    "                ax=Mth,color='Blue',shade=True)\n",
    "\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\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b8e5803",
   "metadata": {},
   "source": [
    "**Insight:** Churn is high when Monthly Charges ar high"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "2321ec6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Mth=sns.kdeplot(new_df_dummies.TotalCharges[(new_df_dummies['Churn']==0)],\n",
    "                color='Red',shade=True)\n",
    "Mth=sns.kdeplot(new_df_dummies.TotalCharges[(new_df_dummies['Churn']==1)],\n",
    "                ax=Mth,color='Blue',shade=True)\n",
    "\n",
    "Mth.legend(['No Churn','Churn'],loc='upper right')\n",
    "Mth.set_ylabel(\"Density\")\n",
    "Mth.set_xlabel(\"Total Charges\")\n",
    "Mth.set_title(\"Total Charges by Churn\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa7f37d1",
   "metadata": {},
   "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",
   "id": "c66674a8",
   "metadata": {},
   "source": [
    "**11. Build a corelation of all predictors with 'Churn' **"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "d722f687",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 2000x800 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(20,8))\n",
    "new_df_dummies.corr()['Churn'].sort_values(ascending=False).plot(kind='bar')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bdeb297f",
   "metadata": {},
   "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": 56,
   "id": "a2e68dbf",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: >"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x1200 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(12,12))\n",
    "sns.heatmap(new_df_dummies.corr(),cmap='Paired')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "39d28b19",
   "metadata": {},
   "source": [
    "### Bivariate Analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "56522320",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7edca668",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a53615d8",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "markdown",
   "id": "7b9b6727",
   "metadata": {},
   "source": [
    "# CONCLUSION"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fef2fe07",
   "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": "markdown",
   "id": "abbca713",
   "metadata": {},
   "source": [
    "1. Senior Citizens are more likely to churn, they have a churn rate of ~42%\n",
    "2. People with no Partners are more likely to churn, they have a churn rate of ~35%\n",
    "3. Monthly customers are more likely to churn, they have a churn rate of ~41%, people with 2 year contract are very less likely to churn\n",
    "4. Almost 44% of the customers paying via Electronic check are churners\n",
    "5. People with less tenure i.e 1-12 are very high churners\n",
    "6. Higher Monthly Charge, Lower tenure and Lower Total Charge are linked to High Churn\n",
    "7. Females who don't have partners are more likely to churn compared to their male counterparts\n",
    "8. Females using credit card are very high churners as compared to their counterparts."
   ]
  }
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