Python Data Correlation Project.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "efbd74ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Importing libraries\n",
    "\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "#! pip install matplotlib\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('ggplot')\n",
    "#from matplot.pyplot import figure\n",
    "\n",
    "%matplotlib inline\n",
    "matplotlib.rcParams['figure.figsize'] = (12,8) # adjusts the configuration of the plots we will create\n",
    "\n",
    "# read the data\n",
    "\n",
    "df = pd.read_csv('C:\\College\\Projects\\Python Data correlation\\movies.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2c00e1c0",
   "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>budget</th>\n",
       "      <th>company</th>\n",
       "      <th>country</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>gross</th>\n",
       "      <th>name</th>\n",
       "      <th>rating</th>\n",
       "      <th>released</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>star</th>\n",
       "      <th>votes</th>\n",
       "      <th>writer</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8000000.0</td>\n",
       "      <td>Columbia Pictures Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Rob Reiner</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>52287414.0</td>\n",
       "      <td>Stand by Me</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-08-22</td>\n",
       "      <td>89</td>\n",
       "      <td>8.1</td>\n",
       "      <td>Wil Wheaton</td>\n",
       "      <td>299174</td>\n",
       "      <td>Stephen King</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6000000.0</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>70136369.0</td>\n",
       "      <td>Ferris Bueller's Day Off</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1986-06-11</td>\n",
       "      <td>103</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Matthew Broderick</td>\n",
       "      <td>264740</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15000000.0</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Tony Scott</td>\n",
       "      <td>Action</td>\n",
       "      <td>179800601.0</td>\n",
       "      <td>Top Gun</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-05-16</td>\n",
       "      <td>110</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Tom Cruise</td>\n",
       "      <td>236909</td>\n",
       "      <td>Jim Cash</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18500000.0</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>85160248.0</td>\n",
       "      <td>Aliens</td>\n",
       "      <td>R</td>\n",
       "      <td>1986-07-18</td>\n",
       "      <td>137</td>\n",
       "      <td>8.4</td>\n",
       "      <td>Sigourney Weaver</td>\n",
       "      <td>540152</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9000000.0</td>\n",
       "      <td>Walt Disney Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Randal Kleiser</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>18564613.0</td>\n",
       "      <td>Flight of the Navigator</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986-08-01</td>\n",
       "      <td>90</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Joey Cramer</td>\n",
       "      <td>36636</td>\n",
       "      <td>Mark H. Baker</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       budget                                 company country        director  \\\n",
       "0   8000000.0           Columbia Pictures Corporation     USA      Rob Reiner   \n",
       "1   6000000.0                      Paramount Pictures     USA     John Hughes   \n",
       "2  15000000.0                      Paramount Pictures     USA      Tony Scott   \n",
       "3  18500000.0  Twentieth Century Fox Film Corporation     USA   James Cameron   \n",
       "4   9000000.0                    Walt Disney Pictures     USA  Randal Kleiser   \n",
       "\n",
       "       genre        gross                      name rating    released  \\\n",
       "0  Adventure   52287414.0               Stand by Me      R  1986-08-22   \n",
       "1     Comedy   70136369.0  Ferris Bueller's Day Off  PG-13  1986-06-11   \n",
       "2     Action  179800601.0                   Top Gun     PG  1986-05-16   \n",
       "3     Action   85160248.0                    Aliens      R  1986-07-18   \n",
       "4  Adventure   18564613.0   Flight of the Navigator     PG  1986-08-01   \n",
       "\n",
       "   runtime  score               star   votes         writer  year  \n",
       "0       89    8.1        Wil Wheaton  299174   Stephen King  1986  \n",
       "1      103    7.8  Matthew Broderick  264740    John Hughes  1986  \n",
       "2      110    6.9         Tom Cruise  236909       Jim Cash  1986  \n",
       "3      137    8.4   Sigourney Weaver  540152  James Cameron  1986  \n",
       "4       90    6.9        Joey Cramer   36636  Mark H. Baker  1986  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Looking at the data\n",
    "\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3f47b65f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget      float64\n",
       "company      object\n",
       "country      object\n",
       "director     object\n",
       "genre        object\n",
       "gross       float64\n",
       "name         object\n",
       "rating       object\n",
       "released     object\n",
       "runtime       int64\n",
       "score       float64\n",
       "star         object\n",
       "votes         int64\n",
       "writer       object\n",
       "year          int64\n",
       "dtype: object"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Data cleaning \n",
    "\n",
    "# View data types of all columns\n",
    "\n",
    "df.dtypes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "dd425b07",
   "metadata": {},
   "outputs": [],
   "source": [
    "# changing the data types of the coulmns \"budget\" and \"gross\"\n",
    "\n",
    "df['budget'] = df['budget'].astype('int64')\n",
    "\n",
    "df['gross'] = df['gross'].astype('int64')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "9950431f",
   "metadata": {},
   "outputs": [
    {
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8000000</td>\n",
       "      <td>Columbia Pictures Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Rob Reiner</td>\n",
       "      <td>Adventure</td>\n",
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       "      <td>1986</td>\n",
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       "      <td>Comedy</td>\n",
       "      <td>70136369</td>\n",
       "      <td>Ferris Bueller's Day Off</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1986</td>\n",
       "      <td>103</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Matthew Broderick</td>\n",
       "      <td>264740</td>\n",
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       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
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       "      <th>2</th>\n",
       "      <td>15000000</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Tony Scott</td>\n",
       "      <td>Action</td>\n",
       "      <td>179800601</td>\n",
       "      <td>Top Gun</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986</td>\n",
       "      <td>110</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Tom Cruise</td>\n",
       "      <td>236909</td>\n",
       "      <td>Jim Cash</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
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       "      <td>Twentieth Century Fox Film Corporation</td>\n",
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       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>85160248</td>\n",
       "      <td>Aliens</td>\n",
       "      <td>R</td>\n",
       "      <td>1986</td>\n",
       "      <td>137</td>\n",
       "      <td>8.4</td>\n",
       "      <td>Sigourney Weaver</td>\n",
       "      <td>540152</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9000000</td>\n",
       "      <td>Walt Disney Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Randal Kleiser</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>18564613</td>\n",
       "      <td>Flight of the Navigator</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986</td>\n",
       "      <td>90</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Joey Cramer</td>\n",
       "      <td>36636</td>\n",
       "      <td>Mark H. Baker</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</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",
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       "      <td>...</td>\n",
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       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6815</th>\n",
       "      <td>0</td>\n",
       "      <td>Fox Searchlight Pictures</td>\n",
       "      <td>UK</td>\n",
       "      <td>Mandie Fletcher</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>4750497</td>\n",
       "      <td>Absolutely Fabulous: The Movie</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>91</td>\n",
       "      <td>5.4</td>\n",
       "      <td>Jennifer Saunders</td>\n",
       "      <td>9161</td>\n",
       "      <td>Jennifer Saunders</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6816</th>\n",
       "      <td>0</td>\n",
       "      <td>Siempre Viva Productions</td>\n",
       "      <td>USA</td>\n",
       "      <td>Paul Duddridge</td>\n",
       "      <td>Drama</td>\n",
       "      <td>28368</td>\n",
       "      <td>Mothers and Daughters</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2016</td>\n",
       "      <td>90</td>\n",
       "      <td>4.9</td>\n",
       "      <td>Selma Blair</td>\n",
       "      <td>1959</td>\n",
       "      <td>Paige Cameron</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6817</th>\n",
       "      <td>3500000</td>\n",
       "      <td>Warner Bros. Animation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Sam Liu</td>\n",
       "      <td>Animation</td>\n",
       "      <td>3775000</td>\n",
       "      <td>Batman: The Killing Joke</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>76</td>\n",
       "      <td>6.5</td>\n",
       "      <td>Kevin Conroy</td>\n",
       "      <td>36333</td>\n",
       "      <td>Brian Azzarello</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6818</th>\n",
       "      <td>0</td>\n",
       "      <td>Borderline Presents</td>\n",
       "      <td>USA</td>\n",
       "      <td>Nicolas Pesce</td>\n",
       "      <td>Drama</td>\n",
       "      <td>25981</td>\n",
       "      <td>The Eyes of My Mother</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>76</td>\n",
       "      <td>6.2</td>\n",
       "      <td>Kika Magalh�es</td>\n",
       "      <td>6947</td>\n",
       "      <td>Nicolas Pesce</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6819</th>\n",
       "      <td>0</td>\n",
       "      <td>Les Productions du Tr�sor</td>\n",
       "      <td>France</td>\n",
       "      <td>Nicole Garcia</td>\n",
       "      <td>Drama</td>\n",
       "      <td>37757</td>\n",
       "      <td>From the Land of the Moon</td>\n",
       "      <td>R</td>\n",
       "      <td>2017</td>\n",
       "      <td>120</td>\n",
       "      <td>6.7</td>\n",
       "      <td>Marion Cotillard</td>\n",
       "      <td>2411</td>\n",
       "      <td>Milena Agus</td>\n",
       "      <td>2016</td>\n",
       "      <td>2017</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6820 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        budget                                 company country  \\\n",
       "0      8000000           Columbia Pictures Corporation     USA   \n",
       "1      6000000                      Paramount Pictures     USA   \n",
       "2     15000000                      Paramount Pictures     USA   \n",
       "3     18500000  Twentieth Century Fox Film Corporation     USA   \n",
       "4      9000000                    Walt Disney Pictures     USA   \n",
       "...        ...                                     ...     ...   \n",
       "6815         0                Fox Searchlight Pictures      UK   \n",
       "6816         0                Siempre Viva Productions     USA   \n",
       "6817   3500000                  Warner Bros. Animation     USA   \n",
       "6818         0                     Borderline Presents     USA   \n",
       "6819         0               Les Productions du Tr�sor  France   \n",
       "\n",
       "             director      genre      gross                            name  \\\n",
       "0          Rob Reiner  Adventure   52287414                     Stand by Me   \n",
       "1         John Hughes     Comedy   70136369        Ferris Bueller's Day Off   \n",
       "2          Tony Scott     Action  179800601                         Top Gun   \n",
       "3       James Cameron     Action   85160248                          Aliens   \n",
       "4      Randal Kleiser  Adventure   18564613         Flight of the Navigator   \n",
       "...               ...        ...        ...                             ...   \n",
       "6815  Mandie Fletcher     Comedy    4750497  Absolutely Fabulous: The Movie   \n",
       "6816   Paul Duddridge      Drama      28368           Mothers and Daughters   \n",
       "6817          Sam Liu  Animation    3775000        Batman: The Killing Joke   \n",
       "6818    Nicolas Pesce      Drama      25981           The Eyes of My Mother   \n",
       "6819    Nicole Garcia      Drama      37757       From the Land of the Moon   \n",
       "\n",
       "     rating released  runtime  score               star   votes  \\\n",
       "0         R     1986       89    8.1        Wil Wheaton  299174   \n",
       "1     PG-13     1986      103    7.8  Matthew Broderick  264740   \n",
       "2        PG     1986      110    6.9         Tom Cruise  236909   \n",
       "3         R     1986      137    8.4   Sigourney Weaver  540152   \n",
       "4        PG     1986       90    6.9        Joey Cramer   36636   \n",
       "...     ...      ...      ...    ...                ...     ...   \n",
       "6815      R     2016       91    5.4  Jennifer Saunders    9161   \n",
       "6816  PG-13     2016       90    4.9        Selma Blair    1959   \n",
       "6817      R     2016       76    6.5       Kevin Conroy   36333   \n",
       "6818      R     2016       76    6.2     Kika Magalh�es    6947   \n",
       "6819      R     2017      120    6.7   Marion Cotillard    2411   \n",
       "\n",
       "                 writer  year Fixed_released  \n",
       "0          Stephen King  1986           1986  \n",
       "1           John Hughes  1986           1986  \n",
       "2              Jim Cash  1986           1986  \n",
       "3         James Cameron  1986           1986  \n",
       "4         Mark H. Baker  1986           1986  \n",
       "...                 ...   ...            ...  \n",
       "6815  Jennifer Saunders  2016           2016  \n",
       "6816      Paige Cameron  2016           2016  \n",
       "6817    Brian Azzarello  2016           2016  \n",
       "6818      Nicolas Pesce  2016           2016  \n",
       "6819        Milena Agus  2016           2017  \n",
       "\n",
       "[6820 rows x 16 columns]"
      ]
     },
     "execution_count": 17,
     "metadata": {},
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    }
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   "id": "211469ff",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>budget</th>\n",
       "      <th>company</th>\n",
       "      <th>country</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
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       "      <th>Fixed_released</th>\n",
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       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8000000</td>\n",
       "      <td>Columbia Pictures Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Rob Reiner</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>52287414</td>\n",
       "      <td>Stand by Me</td>\n",
       "      <td>R</td>\n",
       "      <td>1986</td>\n",
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       "      <td>8.1</td>\n",
       "      <td>Wil Wheaton</td>\n",
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       "      <td>Stephen King</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
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       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>6000000</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>70136369</td>\n",
       "      <td>Ferris Bueller's Day Off</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1986</td>\n",
       "      <td>103</td>\n",
       "      <td>7.8</td>\n",
       "      <td>Matthew Broderick</td>\n",
       "      <td>264740</td>\n",
       "      <td>John Hughes</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>15000000</td>\n",
       "      <td>Paramount Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Tony Scott</td>\n",
       "      <td>Action</td>\n",
       "      <td>179800601</td>\n",
       "      <td>Top Gun</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986</td>\n",
       "      <td>110</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Tom Cruise</td>\n",
       "      <td>236909</td>\n",
       "      <td>Jim Cash</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>18500000</td>\n",
       "      <td>Twentieth Century Fox Film Corporation</td>\n",
       "      <td>USA</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>Action</td>\n",
       "      <td>85160248</td>\n",
       "      <td>Aliens</td>\n",
       "      <td>R</td>\n",
       "      <td>1986</td>\n",
       "      <td>137</td>\n",
       "      <td>8.4</td>\n",
       "      <td>Sigourney Weaver</td>\n",
       "      <td>540152</td>\n",
       "      <td>James Cameron</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>9000000</td>\n",
       "      <td>Walt Disney Pictures</td>\n",
       "      <td>USA</td>\n",
       "      <td>Randal Kleiser</td>\n",
       "      <td>Adventure</td>\n",
       "      <td>18564613</td>\n",
       "      <td>Flight of the Navigator</td>\n",
       "      <td>PG</td>\n",
       "      <td>1986</td>\n",
       "      <td>90</td>\n",
       "      <td>6.9</td>\n",
       "      <td>Joey Cramer</td>\n",
       "      <td>36636</td>\n",
       "      <td>Mark H. Baker</td>\n",
       "      <td>1986</td>\n",
       "      <td>1986</td>\n",
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       "    <tr>\n",
       "      <th>6815</th>\n",
       "      <td>0</td>\n",
       "      <td>Fox Searchlight Pictures</td>\n",
       "      <td>UK</td>\n",
       "      <td>Mandie Fletcher</td>\n",
       "      <td>Comedy</td>\n",
       "      <td>4750497</td>\n",
       "      <td>Absolutely Fabulous: The Movie</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>91</td>\n",
       "      <td>5.4</td>\n",
       "      <td>Jennifer Saunders</td>\n",
       "      <td>9161</td>\n",
       "      <td>Jennifer Saunders</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
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       "    <tr>\n",
       "      <th>6816</th>\n",
       "      <td>0</td>\n",
       "      <td>Siempre Viva Productions</td>\n",
       "      <td>USA</td>\n",
       "      <td>Paul Duddridge</td>\n",
       "      <td>Drama</td>\n",
       "      <td>28368</td>\n",
       "      <td>Mothers and Daughters</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>2016</td>\n",
       "      <td>90</td>\n",
       "      <td>4.9</td>\n",
       "      <td>Selma Blair</td>\n",
       "      <td>1959</td>\n",
       "      <td>Paige Cameron</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6817</th>\n",
       "      <td>3500000</td>\n",
       "      <td>Warner Bros. Animation</td>\n",
       "      <td>USA</td>\n",
       "      <td>Sam Liu</td>\n",
       "      <td>Animation</td>\n",
       "      <td>3775000</td>\n",
       "      <td>Batman: The Killing Joke</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>76</td>\n",
       "      <td>6.5</td>\n",
       "      <td>Kevin Conroy</td>\n",
       "      <td>36333</td>\n",
       "      <td>Brian Azzarello</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
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       "    <tr>\n",
       "      <th>6818</th>\n",
       "      <td>0</td>\n",
       "      <td>Borderline Presents</td>\n",
       "      <td>USA</td>\n",
       "      <td>Nicolas Pesce</td>\n",
       "      <td>Drama</td>\n",
       "      <td>25981</td>\n",
       "      <td>The Eyes of My Mother</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>76</td>\n",
       "      <td>6.2</td>\n",
       "      <td>Kika Magalh�es</td>\n",
       "      <td>6947</td>\n",
       "      <td>Nicolas Pesce</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6819</th>\n",
       "      <td>0</td>\n",
       "      <td>Les Productions du Tr�sor</td>\n",
       "      <td>France</td>\n",
       "      <td>Nicole Garcia</td>\n",
       "      <td>Drama</td>\n",
       "      <td>37757</td>\n",
       "      <td>From the Land of the Moon</td>\n",
       "      <td>R</td>\n",
       "      <td>2017</td>\n",
       "      <td>120</td>\n",
       "      <td>6.7</td>\n",
       "      <td>Marion Cotillard</td>\n",
       "      <td>2411</td>\n",
       "      <td>Milena Agus</td>\n",
       "      <td>2016</td>\n",
       "      <td>2017</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6820 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        budget                                 company country  \\\n",
       "0      8000000           Columbia Pictures Corporation     USA   \n",
       "1      6000000                      Paramount Pictures     USA   \n",
       "2     15000000                      Paramount Pictures     USA   \n",
       "3     18500000  Twentieth Century Fox Film Corporation     USA   \n",
       "4      9000000                    Walt Disney Pictures     USA   \n",
       "...        ...                                     ...     ...   \n",
       "6815         0                Fox Searchlight Pictures      UK   \n",
       "6816         0                Siempre Viva Productions     USA   \n",
       "6817   3500000                  Warner Bros. Animation     USA   \n",
       "6818         0                     Borderline Presents     USA   \n",
       "6819         0               Les Productions du Tr�sor  France   \n",
       "\n",
       "             director      genre      gross                            name  \\\n",
       "0          Rob Reiner  Adventure   52287414                     Stand by Me   \n",
       "1         John Hughes     Comedy   70136369        Ferris Bueller's Day Off   \n",
       "2          Tony Scott     Action  179800601                         Top Gun   \n",
       "3       James Cameron     Action   85160248                          Aliens   \n",
       "4      Randal Kleiser  Adventure   18564613         Flight of the Navigator   \n",
       "...               ...        ...        ...                             ...   \n",
       "6815  Mandie Fletcher     Comedy    4750497  Absolutely Fabulous: The Movie   \n",
       "6816   Paul Duddridge      Drama      28368           Mothers and Daughters   \n",
       "6817          Sam Liu  Animation    3775000        Batman: The Killing Joke   \n",
       "6818    Nicolas Pesce      Drama      25981           The Eyes of My Mother   \n",
       "6819    Nicole Garcia      Drama      37757       From the Land of the Moon   \n",
       "\n",
       "     rating released  runtime  score               star   votes  \\\n",
       "0         R     1986       89    8.1        Wil Wheaton  299174   \n",
       "1     PG-13     1986      103    7.8  Matthew Broderick  264740   \n",
       "2        PG     1986      110    6.9         Tom Cruise  236909   \n",
       "3         R     1986      137    8.4   Sigourney Weaver  540152   \n",
       "4        PG     1986       90    6.9        Joey Cramer   36636   \n",
       "...     ...      ...      ...    ...                ...     ...   \n",
       "6815      R     2016       91    5.4  Jennifer Saunders    9161   \n",
       "6816  PG-13     2016       90    4.9        Selma Blair    1959   \n",
       "6817      R     2016       76    6.5       Kevin Conroy   36333   \n",
       "6818      R     2016       76    6.2     Kika Magalh�es    6947   \n",
       "6819      R     2017      120    6.7   Marion Cotillard    2411   \n",
       "\n",
       "                 writer  year Fixed_released  \n",
       "0          Stephen King  1986           1986  \n",
       "1           John Hughes  1986           1986  \n",
       "2              Jim Cash  1986           1986  \n",
       "3         James Cameron  1986           1986  \n",
       "4         Mark H. Baker  1986           1986  \n",
       "...                 ...   ...            ...  \n",
       "6815  Jennifer Saunders  2016           2016  \n",
       "6816      Paige Cameron  2016           2016  \n",
       "6817    Brian Azzarello  2016           2016  \n",
       "6818      Nicolas Pesce  2016           2016  \n",
       "6819        Milena Agus  2016           2017  \n",
       "\n",
       "[6820 rows x 16 columns]"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Fixing the \"Released\" and the \"year\" coulmn\n",
    "\n",
    "df['released'] = df['released'].astype(str).str[:4]\n",
    "df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "aaca5f3e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Order our Data in decending order\n",
    "\n",
    "df = df.sort_values(by=['gross'], inplace=False, ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "90709abb",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "      <td>Comedy</td>\n",
       "      <td>309</td>\n",
       "      <td>Trojan War</td>\n",
       "      <td>PG-13</td>\n",
       "      <td>1997</td>\n",
       "      <td>84</td>\n",
       "      <td>5.7</td>\n",
       "      <td>Will Friedle</td>\n",
       "      <td>5034</td>\n",
       "      <td>Andy Burg</td>\n",
       "      <td>1997</td>\n",
       "      <td>1997</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6784</th>\n",
       "      <td>0</td>\n",
       "      <td>Magic Lantern</td>\n",
       "      <td>Spain</td>\n",
       "      <td>Carles Torrens</td>\n",
       "      <td>Horror</td>\n",
       "      <td>70</td>\n",
       "      <td>Pet</td>\n",
       "      <td>R</td>\n",
       "      <td>2016</td>\n",
       "      <td>94</td>\n",
       "      <td>5.7</td>\n",
       "      <td>Dominic Monaghan</td>\n",
       "      <td>10504</td>\n",
       "      <td>Jeremy Slater</td>\n",
       "      <td>2016</td>\n",
       "      <td>2016</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>6820 rows × 16 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "         budget                                 company country  \\\n",
       "6380  245000000                               Lucasfilm     USA   \n",
       "5061  237000000  Twentieth Century Fox Film Corporation      UK   \n",
       "2420  200000000  Twentieth Century Fox Film Corporation     USA   \n",
       "6391  150000000                      Universal Pictures     USA   \n",
       "5723  220000000                          Marvel Studios     USA   \n",
       "...         ...                                     ...     ...   \n",
       "5917          0           Zentropa International Norway  Norway   \n",
       "5699          0                        Isle of Man Film      UK   \n",
       "6066          0                           Cinetel Films     USA   \n",
       "2594   15000000                                Daybreak     USA   \n",
       "6784          0                           Magic Lantern   Spain   \n",
       "\n",
       "              director   genre      gross                          name  \\\n",
       "6380       J.J. Abrams  Action  936662225  Star Wars: The Force Awakens   \n",
       "5061     James Cameron  Action  760507625                        Avatar   \n",
       "2420     James Cameron   Drama  658672302                       Titanic   \n",
       "6391   Colin Trevorrow  Action  652270625                Jurassic World   \n",
       "5723       Joss Whedon  Action  623357910                  The Avengers   \n",
       "...                ...     ...        ...                           ...   \n",
       "5917       Petter N�ss  Action        547                Into the White   \n",
       "5699    Sheree Folkson  Comedy        542               The Decoy Bride   \n",
       "6066  Steven R. Monroe   Crime        441        I Spit on Your Grave 2   \n",
       "2594      George Huang  Comedy        309                    Trojan War   \n",
       "6784    Carles Torrens  Horror         70                           Pet   \n",
       "\n",
       "     rating released  runtime  score               star    votes  \\\n",
       "6380  PG-13     2015      136    8.1       Daisy Ridley   687192   \n",
       "5061  PG-13     2009      162    7.8    Sam Worthington   954412   \n",
       "2420  PG-13     1997      194    7.8  Leonardo DiCaprio   862554   \n",
       "6391  PG-13     2015      124    7.0        Chris Pratt   469200   \n",
       "5723  PG-13     2012      143    8.1  Robert Downey Jr.  1064633   \n",
       "...     ...      ...      ...    ...                ...      ...   \n",
       "5917      R     2013      104    7.2      Florian Lukas    16609   \n",
       "5699     PG     2012       89    6.2    Kelly Macdonald     9018   \n",
       "6066      R     2014      106    5.7    Jemma Dallender    21070   \n",
       "2594  PG-13     1997       84    5.7       Will Friedle     5034   \n",
       "6784      R     2016       94    5.7   Dominic Monaghan    10504   \n",
       "\n",
       "               writer  year Fixed_released  \n",
       "6380  Lawrence Kasdan  2015           2015  \n",
       "5061    James Cameron  2009           2009  \n",
       "2420    James Cameron  1997           1997  \n",
       "6391       Rick Jaffa  2015           2015  \n",
       "5723      Joss Whedon  2012           2012  \n",
       "...               ...   ...            ...  \n",
       "5917    Ole Meldgaard  2012           2013  \n",
       "5699    Neil Jaworski  2011           2012  \n",
       "6066       Neil Elman  2013           2014  \n",
       "2594        Andy Burg  1997           1997  \n",
       "6784    Jeremy Slater  2016           2016  \n",
       "\n",
       "[6820 rows x 16 columns]"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "df.drop_duplicates()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "46dd9fc7",
   "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>company</th>\n",
       "      <th>gross</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>\"DIA\" Productions GmbH &amp; Co. KG</td>\n",
       "      <td>26183197.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1+2 Seisaku Iinkai</td>\n",
       "      <td>1136776.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>101st Street Films</td>\n",
       "      <td>306715.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>10th Hole Productions</td>\n",
       "      <td>103280.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>120 Films</td>\n",
       "      <td>753501.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2174</th>\n",
       "      <td>Zucker Brothers Productions</td>\n",
       "      <td>6940185.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2175</th>\n",
       "      <td>double A Films</td>\n",
       "      <td>1568749.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2176</th>\n",
       "      <td>erbp</td>\n",
       "      <td>444098.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2177</th>\n",
       "      <td>i5 Films</td>\n",
       "      <td>8821782.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2178</th>\n",
       "      <td>micro_scope</td>\n",
       "      <td>6857096.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2179 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                              company       gross\n",
       "0     \"DIA\" Productions GmbH & Co. KG  26183197.0\n",
       "1                  1+2 Seisaku Iinkai   1136776.0\n",
       "2                  101st Street Films    306715.0\n",
       "3               10th Hole Productions    103280.0\n",
       "4                           120 Films    753501.0\n",
       "...                               ...         ...\n",
       "2174      Zucker Brothers Productions   6940185.0\n",
       "2175                   double A Films   1568749.0\n",
       "2176                             erbp    444098.0\n",
       "2177                         i5 Films   8821782.0\n",
       "2178                      micro_scope   6857096.0\n",
       "\n",
       "[2179 rows x 2 columns]"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Ranking companies based on average revenues generated using groupby()\n",
    "\n",
    "df_test = df[['company', 'gross']]\n",
    "df_grp = df_test.groupby(['company'], as_index= False).mean()\n",
    "#df_grp.sort_values(by=['gross'], inplace=False, ascending=False)\n",
    "df_grp\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0bc4d5a7",
   "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>company</th>\n",
       "      <th>gross</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1428</th>\n",
       "      <td>Lucasfilm</td>\n",
       "      <td>4.423292e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1491</th>\n",
       "      <td>Marvel Studios</td>\n",
       "      <td>3.816633e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>926</th>\n",
       "      <td>Fairview Entertainment</td>\n",
       "      <td>3.640011e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1214</th>\n",
       "      <td>Illumination Entertainment</td>\n",
       "      <td>3.360458e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>662</th>\n",
       "      <td>Color Force</td>\n",
       "      <td>2.768829e+08</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1677</th>\n",
       "      <td>Parallel Film Productions</td>\n",
       "      <td>8.280000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2171</th>\n",
       "      <td>Zentropa International Norway</td>\n",
       "      <td>5.470000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1262</th>\n",
       "      <td>Isle of Man Film</td>\n",
       "      <td>5.420000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>764</th>\n",
       "      <td>Daybreak</td>\n",
       "      <td>3.090000e+02</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1460</th>\n",
       "      <td>Magic Lantern</td>\n",
       "      <td>7.000000e+01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>2179 rows × 2 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                            company         gross\n",
       "1428                      Lucasfilm  4.423292e+08\n",
       "1491                 Marvel Studios  3.816633e+08\n",
       "926          Fairview Entertainment  3.640011e+08\n",
       "1214     Illumination Entertainment  3.360458e+08\n",
       "662                     Color Force  2.768829e+08\n",
       "...                             ...           ...\n",
       "1677      Parallel Film Productions  8.280000e+02\n",
       "2171  Zentropa International Norway  5.470000e+02\n",
       "1262               Isle of Man Film  5.420000e+02\n",
       "764                        Daybreak  3.090000e+02\n",
       "1460                  Magic Lantern  7.000000e+01\n",
       "\n",
       "[2179 rows x 2 columns]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_grp.sort_values(by=['gross'], inplace=False, ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "0bcc96e3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "company\n",
       "Warner Bros.                              21322318408\n",
       "Universal Pictures                        19430051320\n",
       "Paramount Pictures                        17115702495\n",
       "Twentieth Century Fox Film Corporation    14788570587\n",
       "Walt Disney Pictures                      10455507123\n",
       "Columbia Pictures                          8824216545\n",
       "New Line Cinema                            8540112287\n",
       "Columbia Pictures Corporation              7720114061\n",
       "Touchstone Pictures                        6688156475\n",
       "DreamWorks                                 5458121021\n",
       "DreamWorks Animation                       4143974397\n",
       "Metro-Goldwyn-Mayer (MGM)                  3384812932\n",
       "Pixar Animation Studios                    3242024778\n",
       "Fox 2000 Pictures                          3113861473\n",
       "TriStar Pictures                           2967117827\n",
       "Name: gross, dtype: int64"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Looking at the top 15 compaies by gross revenue\n",
    "\n",
    "df_group_sum = df.groupby('company')[[\"gross\"]].sum()\n",
    "\n",
    "df_group_sum_Sorted = df_group_sum.sort_values('gross', ascending = False)[:15]\n",
    "\n",
    "df_group_sum_Sorted = df_group_sum_Sorted['gross'].astype('int64') \n",
    "\n",
    "df_group_sum_Sorted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "63236d5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "company                                 year\n",
       "Paramount Pictures                      2011    1486604229\n",
       "Universal Pictures                      2015    1411831667\n",
       "Warner Bros.                            2008    1327598616\n",
       "                                        2010    1255477478\n",
       "                                        2011    1217527619\n",
       "                                        2005    1175793638\n",
       "Twentieth Century Fox Film Corporation  2009    1173191407\n",
       "Warner Bros.                            2006    1154792759\n",
       "                                        2009    1146640373\n",
       "Walt Disney Pictures                    2010    1134883375\n",
       "Columbia Pictures                       2011    1072753462\n",
       "Universal Pictures                      2013    1066421491\n",
       "Warner Bros.                            2014    1062468828\n",
       "Universal Pictures                      2007    1057955786\n",
       "Columbia Pictures                       2012    1020616938\n",
       "Name: gross, dtype: int64"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# sum of gross revenue made by top 15 countries by year\n",
    "\n",
    "df_Gross_Sum = df.groupby(['company', 'year'])[[\"gross\"]].sum()\n",
    "\n",
    "df_Gross_Sum_Sorted = df_Gross_Sum.sort_values(['gross','company','year'], ascending = False)[:15]\n",
    "\n",
    "df_Gross_Sum_Sorted = df_Gross_Sum_Sorted['gross'].astype('int64') \n",
    "\n",
    "df_Gross_Sum_Sorted"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7a8b8460",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "e6563739",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Finding correlations between the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "9129af77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:xlabel='budget', ylabel='gross'>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Correlation between budget and gross revenue\n",
    "\n",
    "# Plot budget vs gross using seaborn\n",
    "\n",
    "sns.regplot (x = 'budget', y = 'gross', data = df, scatter_kws = {\"color\": \"red\"}, line_kws = {\"color\":\"black\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "a389191d",
   "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>budget</th>\n",
       "      <th>gross</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>votes</th>\n",
       "      <th>year</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>budget</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.712196</td>\n",
       "      <td>0.268226</td>\n",
       "      <td>0.042145</td>\n",
       "      <td>0.503924</td>\n",
       "      <td>0.291009</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gross</th>\n",
       "      <td>0.712196</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.224579</td>\n",
       "      <td>0.165693</td>\n",
       "      <td>0.662457</td>\n",
       "      <td>0.191548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>runtime</th>\n",
       "      <td>0.268226</td>\n",
       "      <td>0.224579</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.395343</td>\n",
       "      <td>0.317399</td>\n",
       "      <td>0.087639</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>score</th>\n",
       "      <td>0.042145</td>\n",
       "      <td>0.165693</td>\n",
       "      <td>0.395343</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.393607</td>\n",
       "      <td>0.105276</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>votes</th>\n",
       "      <td>0.503924</td>\n",
       "      <td>0.662457</td>\n",
       "      <td>0.317399</td>\n",
       "      <td>0.393607</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.229304</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <td>0.291009</td>\n",
       "      <td>0.191548</td>\n",
       "      <td>0.087639</td>\n",
       "      <td>0.105276</td>\n",
       "      <td>0.229304</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           budget     gross   runtime     score     votes      year\n",
       "budget   1.000000  0.712196  0.268226  0.042145  0.503924  0.291009\n",
       "gross    0.712196  1.000000  0.224579  0.165693  0.662457  0.191548\n",
       "runtime  0.268226  0.224579  1.000000  0.395343  0.317399  0.087639\n",
       "score    0.042145  0.165693  0.395343  1.000000  0.393607  0.105276\n",
       "votes    0.503924  0.662457  0.317399  0.393607  1.000000  0.229304\n",
       "year     0.291009  0.191548  0.087639  0.105276  0.229304  1.000000"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# showing correlation between the numeric features\n",
    "\n",
    "df.corr()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "id": "ec790fff",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Heat map of correlation between the numeric features\n",
    "\n",
    "correlation_matrix = df.corr()\n",
    "\n",
    "sns.heatmap(correlation_matrix, annot = True)\n",
    "\n",
    "plt.title(\"Correlation matrix for Numeric Features\")\n",
    "\n",
    "plt.xlabel(\"Movie features\")\n",
    "\n",
    "plt.ylabel(\"Movie features\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "397ec957",
   "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>budget</th>\n",
       "      <th>company</th>\n",
       "      <th>country</th>\n",
       "      <th>director</th>\n",
       "      <th>genre</th>\n",
       "      <th>gross</th>\n",
       "      <th>name</th>\n",
       "      <th>rating</th>\n",
       "      <th>released</th>\n",
       "      <th>runtime</th>\n",
       "      <th>score</th>\n",
       "      <th>star</th>\n",
       "      <th>votes</th>\n",
       "      <th>writer</th>\n",
       "      <th>year</th>\n",
       "      <th>Fixed_released</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>budget</th>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.035301</td>\n",
       "      <td>-0.120957</td>\n",
       "      <td>0.006720</td>\n",
       "      <td>0.127592</td>\n",
       "      <td>0.003138</td>\n",
       "      <td>0.007753</td>\n",
       "      <td>0.052218</td>\n",
       "      <td>-0.026333</td>\n",
       "      <td>0.041296</td>\n",
       "      <td>0.026111</td>\n",
       "      <td>0.016221</td>\n",
       "      <td>0.007785</td>\n",
       "      <td>-0.002712</td>\n",
       "      <td>-0.020550</td>\n",
       "      <td>-0.026333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>company</th>\n",
       "      <td>0.035301</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.374023</td>\n",
       "      <td>0.600346</td>\n",
       "      <td>0.099966</td>\n",
       "      <td>0.706166</td>\n",
       "      <td>0.696750</td>\n",
       "      <td>0.344619</td>\n",
       "      <td>0.067099</td>\n",
       "      <td>0.001787</td>\n",
       "      <td>-0.042936</td>\n",
       "      <td>0.506713</td>\n",
       "      <td>0.692346</td>\n",
       "      <td>0.615275</td>\n",
       "      <td>0.059100</td>\n",
       "      <td>0.067099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>country</th>\n",
       "      <td>-0.120957</td>\n",
       "      <td>0.374023</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.296655</td>\n",
       "      <td>-0.011226</td>\n",
       "      <td>0.353087</td>\n",
       "      <td>0.348275</td>\n",
       "      <td>0.213218</td>\n",
       "      <td>-0.050572</td>\n",
       "      <td>0.028062</td>\n",
       "      <td>-0.187099</td>\n",
       "      <td>0.284233</td>\n",
       "      <td>0.345046</td>\n",
       "      <td>0.329547</td>\n",
       "      <td>-0.046880</td>\n",
       "      <td>-0.050572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>director</th>\n",
       "      <td>0.006720</td>\n",
       "      <td>0.600346</td>\n",
       "      <td>0.296655</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.095540</td>\n",
       "      <td>0.747273</td>\n",
       "      <td>0.736556</td>\n",
       "      <td>0.298803</td>\n",
       "      <td>0.126707</td>\n",
       "      <td>0.019492</td>\n",
       "      <td>0.066433</td>\n",
       "      <td>0.560804</td>\n",
       "      <td>0.738521</td>\n",
       "      <td>0.706865</td>\n",
       "      <td>0.120458</td>\n",
       "      <td>0.126707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>genre</th>\n",
       "      <td>0.127592</td>\n",
       "      <td>0.099966</td>\n",
       "      <td>-0.011226</td>\n",
       "      <td>0.095540</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.116159</td>\n",
       "      <td>0.119170</td>\n",
       "      <td>0.103103</td>\n",
       "      <td>0.022438</td>\n",
       "      <td>-0.002196</td>\n",
       "      <td>0.002608</td>\n",
       "      <td>0.103333</td>\n",
       "      <td>0.116055</td>\n",
       "      <td>0.096945</td>\n",
       "      <td>0.032184</td>\n",
       "      <td>0.022438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>gross</th>\n",
       "      <td>0.003138</td>\n",
       "      <td>0.706166</td>\n",
       "      <td>0.353087</td>\n",
       "      <td>0.747273</td>\n",
       "      <td>0.116159</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.985814</td>\n",
       "      <td>0.396275</td>\n",
       "      <td>0.114230</td>\n",
       "      <td>0.007944</td>\n",
       "      <td>0.032832</td>\n",
       "      <td>0.624978</td>\n",
       "      <td>0.981164</td>\n",
       "      <td>0.806320</td>\n",
       "      <td>0.113530</td>\n",
       "      <td>0.114230</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>name</th>\n",
       "      <td>0.007753</td>\n",
       "      <td>0.696750</td>\n",
       "      <td>0.348275</td>\n",
       "      <td>0.736556</td>\n",
       "      <td>0.119170</td>\n",
       "      <td>0.985814</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.392495</td>\n",
       "      <td>0.109468</td>\n",
       "      <td>0.008621</td>\n",
       "      <td>0.033938</td>\n",
       "      <td>0.617591</td>\n",
       "      <td>0.968071</td>\n",
       "      <td>0.798066</td>\n",
       "      <td>0.109421</td>\n",
       "      <td>0.109468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>rating</th>\n",
       "      <td>0.052218</td>\n",
       "      <td>0.344619</td>\n",
       "      <td>0.213218</td>\n",
       "      <td>0.298803</td>\n",
       "      <td>0.103103</td>\n",
       "      <td>0.396275</td>\n",
       "      <td>0.392495</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.044454</td>\n",
       "      <td>0.041626</td>\n",
       "      <td>-0.110448</td>\n",
       "      <td>0.302056</td>\n",
       "      <td>0.387499</td>\n",
       "      <td>0.328034</td>\n",
       "      <td>0.046180</td>\n",
       "      <td>0.044454</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>released</th>\n",
       "      <td>-0.026333</td>\n",
       "      <td>0.067099</td>\n",
       "      <td>-0.050572</td>\n",
       "      <td>0.126707</td>\n",
       "      <td>0.022438</td>\n",
       "      <td>0.114230</td>\n",
       "      <td>0.109468</td>\n",
       "      <td>0.044454</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.001693</td>\n",
       "      <td>0.058152</td>\n",
       "      <td>0.166975</td>\n",
       "      <td>0.118357</td>\n",
       "      <td>0.122552</td>\n",
       "      <td>0.839329</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>runtime</th>\n",
       "      <td>0.041296</td>\n",
       "      <td>0.001787</td>\n",
       "      <td>0.028062</td>\n",
       "      <td>0.019492</td>\n",
       "      <td>-0.002196</td>\n",
       "      <td>0.007944</td>\n",
       "      <td>0.008621</td>\n",
       "      <td>0.041626</td>\n",
       "      <td>-0.001693</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.022372</td>\n",
       "      <td>0.022306</td>\n",
       "      <td>0.006859</td>\n",
       "      <td>-0.003252</td>\n",
       "      <td>-0.003380</td>\n",
       "      <td>-0.001693</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>score</th>\n",
       "      <td>0.026111</td>\n",
       "      <td>-0.042936</td>\n",
       "      <td>-0.187099</td>\n",
       "      <td>0.066433</td>\n",
       "      <td>0.002608</td>\n",
       "      <td>0.032832</td>\n",
       "      <td>0.033938</td>\n",
       "      <td>-0.110448</td>\n",
       "      <td>0.058152</td>\n",
       "      <td>-0.022372</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.042951</td>\n",
       "      <td>0.031415</td>\n",
       "      <td>0.034435</td>\n",
       "      <td>0.068585</td>\n",
       "      <td>0.058152</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>star</th>\n",
       "      <td>0.016221</td>\n",
       "      <td>0.506713</td>\n",
       "      <td>0.284233</td>\n",
       "      <td>0.560804</td>\n",
       "      <td>0.103333</td>\n",
       "      <td>0.624978</td>\n",
       "      <td>0.617591</td>\n",
       "      <td>0.302056</td>\n",
       "      <td>0.166975</td>\n",
       "      <td>0.022306</td>\n",
       "      <td>0.042951</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.612797</td>\n",
       "      <td>0.555003</td>\n",
       "      <td>0.172423</td>\n",
       "      <td>0.166975</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>votes</th>\n",
       "      <td>0.007785</td>\n",
       "      <td>0.692346</td>\n",
       "      <td>0.345046</td>\n",
       "      <td>0.738521</td>\n",
       "      <td>0.116055</td>\n",
       "      <td>0.981164</td>\n",
       "      <td>0.968071</td>\n",
       "      <td>0.387499</td>\n",
       "      <td>0.118357</td>\n",
       "      <td>0.006859</td>\n",
       "      <td>0.031415</td>\n",
       "      <td>0.612797</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.792117</td>\n",
       "      <td>0.117552</td>\n",
       "      <td>0.118357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>writer</th>\n",
       "      <td>-0.002712</td>\n",
       "      <td>0.615275</td>\n",
       "      <td>0.329547</td>\n",
       "      <td>0.706865</td>\n",
       "      <td>0.096945</td>\n",
       "      <td>0.806320</td>\n",
       "      <td>0.798066</td>\n",
       "      <td>0.328034</td>\n",
       "      <td>0.122552</td>\n",
       "      <td>-0.003252</td>\n",
       "      <td>0.034435</td>\n",
       "      <td>0.555003</td>\n",
       "      <td>0.792117</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.122176</td>\n",
       "      <td>0.122552</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>year</th>\n",
       "      <td>-0.020550</td>\n",
       "      <td>0.059100</td>\n",
       "      <td>-0.046880</td>\n",
       "      <td>0.120458</td>\n",
       "      <td>0.032184</td>\n",
       "      <td>0.113530</td>\n",
       "      <td>0.109421</td>\n",
       "      <td>0.046180</td>\n",
       "      <td>0.839329</td>\n",
       "      <td>-0.003380</td>\n",
       "      <td>0.068585</td>\n",
       "      <td>0.172423</td>\n",
       "      <td>0.117552</td>\n",
       "      <td>0.122176</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>0.839329</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Fixed_released</th>\n",
       "      <td>-0.026333</td>\n",
       "      <td>0.067099</td>\n",
       "      <td>-0.050572</td>\n",
       "      <td>0.126707</td>\n",
       "      <td>0.022438</td>\n",
       "      <td>0.114230</td>\n",
       "      <td>0.109468</td>\n",
       "      <td>0.044454</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>-0.001693</td>\n",
       "      <td>0.058152</td>\n",
       "      <td>0.166975</td>\n",
       "      <td>0.118357</td>\n",
       "      <td>0.122552</td>\n",
       "      <td>0.839329</td>\n",
       "      <td>1.000000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                  budget   company   country  director     genre     gross  \\\n",
       "budget          1.000000  0.035301 -0.120957  0.006720  0.127592  0.003138   \n",
       "company         0.035301  1.000000  0.374023  0.600346  0.099966  0.706166   \n",
       "country        -0.120957  0.374023  1.000000  0.296655 -0.011226  0.353087   \n",
       "director        0.006720  0.600346  0.296655  1.000000  0.095540  0.747273   \n",
       "genre           0.127592  0.099966 -0.011226  0.095540  1.000000  0.116159   \n",
       "gross           0.003138  0.706166  0.353087  0.747273  0.116159  1.000000   \n",
       "name            0.007753  0.696750  0.348275  0.736556  0.119170  0.985814   \n",
       "rating          0.052218  0.344619  0.213218  0.298803  0.103103  0.396275   \n",
       "released       -0.026333  0.067099 -0.050572  0.126707  0.022438  0.114230   \n",
       "runtime         0.041296  0.001787  0.028062  0.019492 -0.002196  0.007944   \n",
       "score           0.026111 -0.042936 -0.187099  0.066433  0.002608  0.032832   \n",
       "star            0.016221  0.506713  0.284233  0.560804  0.103333  0.624978   \n",
       "votes           0.007785  0.692346  0.345046  0.738521  0.116055  0.981164   \n",
       "writer         -0.002712  0.615275  0.329547  0.706865  0.096945  0.806320   \n",
       "year           -0.020550  0.059100 -0.046880  0.120458  0.032184  0.113530   \n",
       "Fixed_released -0.026333  0.067099 -0.050572  0.126707  0.022438  0.114230   \n",
       "\n",
       "                    name    rating  released   runtime     score      star  \\\n",
       "budget          0.007753  0.052218 -0.026333  0.041296  0.026111  0.016221   \n",
       "company         0.696750  0.344619  0.067099  0.001787 -0.042936  0.506713   \n",
       "country         0.348275  0.213218 -0.050572  0.028062 -0.187099  0.284233   \n",
       "director        0.736556  0.298803  0.126707  0.019492  0.066433  0.560804   \n",
       "genre           0.119170  0.103103  0.022438 -0.002196  0.002608  0.103333   \n",
       "gross           0.985814  0.396275  0.114230  0.007944  0.032832  0.624978   \n",
       "name            1.000000  0.392495  0.109468  0.008621  0.033938  0.617591   \n",
       "rating          0.392495  1.000000  0.044454  0.041626 -0.110448  0.302056   \n",
       "released        0.109468  0.044454  1.000000 -0.001693  0.058152  0.166975   \n",
       "runtime         0.008621  0.041626 -0.001693  1.000000 -0.022372  0.022306   \n",
       "score           0.033938 -0.110448  0.058152 -0.022372  1.000000  0.042951   \n",
       "star            0.617591  0.302056  0.166975  0.022306  0.042951  1.000000   \n",
       "votes           0.968071  0.387499  0.118357  0.006859  0.031415  0.612797   \n",
       "writer          0.798066  0.328034  0.122552 -0.003252  0.034435  0.555003   \n",
       "year            0.109421  0.046180  0.839329 -0.003380  0.068585  0.172423   \n",
       "Fixed_released  0.109468  0.044454  1.000000 -0.001693  0.058152  0.166975   \n",
       "\n",
       "                   votes    writer      year  Fixed_released  \n",
       "budget          0.007785 -0.002712 -0.020550       -0.026333  \n",
       "company         0.692346  0.615275  0.059100        0.067099  \n",
       "country         0.345046  0.329547 -0.046880       -0.050572  \n",
       "director        0.738521  0.706865  0.120458        0.126707  \n",
       "genre           0.116055  0.096945  0.032184        0.022438  \n",
       "gross           0.981164  0.806320  0.113530        0.114230  \n",
       "name            0.968071  0.798066  0.109421        0.109468  \n",
       "rating          0.387499  0.328034  0.046180        0.044454  \n",
       "released        0.118357  0.122552  0.839329        1.000000  \n",
       "runtime         0.006859 -0.003252 -0.003380       -0.001693  \n",
       "score           0.031415  0.034435  0.068585        0.058152  \n",
       "star            0.612797  0.555003  0.172423        0.166975  \n",
       "votes           1.000000  0.792117  0.117552        0.118357  \n",
       "writer          0.792117  1.000000  0.122176        0.122552  \n",
       "year            0.117552  0.122176  1.000000        0.839329  \n",
       "Fixed_released  0.118357  0.122552  0.839329        1.000000  "
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# converting non-numeric columns into numeric columns\n",
    "\n",
    "df_numerized = df.apply(lambda x: x.factorize()[0]).corr(method='spearman') \n",
    "\n",
    "#factorize assigns a random numeric value for each unique categorical value\n",
    "\n",
    "df_numerized\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "3bcd9643",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "b98311ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Heat map of correlation between the all the features\n",
    "\n",
    "complete_correlation_matrix = df_numerized.corr(method='spearman')\n",
    "\n",
    "sns.heatmap(complete_correlation_matrix, annot = True)\n",
    "\n",
    "plt.title(\"Correlation matrix of all the Features\")\n",
    "\n",
    "plt.xlabel(\"Movie features\")\n",
    "\n",
    "plt.ylabel(\"Movie features\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "af7d7206",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget          budget            1.000000\n",
       "                company          -0.157585\n",
       "                country          -0.222386\n",
       "                director         -0.325479\n",
       "                genre             0.516937\n",
       "                                    ...   \n",
       "Fixed_released  star              0.375552\n",
       "                votes             0.325479\n",
       "                writer            0.322533\n",
       "                year              0.985272\n",
       "                Fixed_released    1.000000\n",
       "Length: 256, dtype: float64"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#unstacking \n",
    "\n",
    "corr_pairs = complete_correlation_matrix.unstack()\n",
    "corr_pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "9a48a926",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "runtime         score            -0.608247\n",
       "score           runtime          -0.608247\n",
       "budget          released         -0.569956\n",
       "released        budget           -0.569956\n",
       "budget          Fixed_released   -0.569956\n",
       "                                    ...   \n",
       "director        director          1.000000\n",
       "country         country           1.000000\n",
       "company         company           1.000000\n",
       "year            year              1.000000\n",
       "Fixed_released  Fixed_released    1.000000\n",
       "Length: 114, dtype: float64"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#F actors that have a high correlation (> 0.5)\n",
    "\n",
    "sorted_pairs = corr_pairs.sort_values()\n",
    "\n",
    "#strong_pairs = sorted_pairs[abs(sorted_pairs) > 0.5]\n",
    "\n",
    "strong_pairs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "id": "12b74d1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "budget          genre             0.516937\n",
       "genre           budget            0.516937\n",
       "rating          genre             0.584683\n",
       "genre           rating            0.584683\n",
       "country         star              0.717231\n",
       "                                    ...   \n",
       "director        director          1.000000\n",
       "country         country           1.000000\n",
       "company         company           1.000000\n",
       "year            year              1.000000\n",
       "Fixed_released  Fixed_released    1.000000\n",
       "Length: 104, dtype: float64"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "high_correlation = sorted_pairs[(sorted_pairs) > 0.5]\n",
    "high_correlation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "516a63ae",
   "metadata": {},
   "outputs": [],
   "source": []
  }
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