missing_values_gross.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df = pd.read_csv('movie_metadata.csv')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Missing values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "color                         19\n",
      "director_name                104\n",
      "num_critic_for_reviews        50\n",
      "duration                      15\n",
      "director_facebook_likes      104\n",
      "actor_3_facebook_likes        23\n",
      "actor_2_name                  13\n",
      "actor_1_facebook_likes         7\n",
      "gross                        884\n",
      "genres                         0\n",
      "actor_1_name                   7\n",
      "movie_title                    0\n",
      "num_voted_users                0\n",
      "cast_total_facebook_likes      0\n",
      "actor_3_name                  23\n",
      "facenumber_in_poster          13\n",
      "plot_keywords                153\n",
      "movie_imdb_link                0\n",
      "num_user_for_reviews          21\n",
      "language                      12\n",
      "country                        5\n",
      "content_rating               303\n",
      "budget                       492\n",
      "title_year                   108\n",
      "actor_2_facebook_likes        13\n",
      "imdb_score                     0\n",
      "aspect_ratio                 329\n",
      "movie_facebook_likes           0\n",
      "dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print (df.isnull().sum())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Understand readon for missing gross"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "df_missing_gross = df[df['gross'].isnull()]\n",
    "\n",
    "relevant_columns = ['color','num_critic_for_reviews','duration',\n",
    "                    'genres','num_voted_users','num_user_for_reviews',\n",
    "                    'language','country','content_rating','budget','title_year']\n",
    "\n",
    "\n",
    "   "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Categorical columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x1080 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in relevant_columns:\n",
    "    dtype = df_missing_gross[column].dtype\n",
    "    \n",
    "    #Categorical columns\n",
    "    if dtype == 'object':\n",
    "        column_dict ={}\n",
    "        unique = pd.Series(df_missing_gross[column].values).unique()\n",
    "      \n",
    "        for unique_value in unique:\n",
    "            column_dict[unique_value] = df_missing_gross[df_missing_gross[column] == unique_value][column].count()\n",
    "        \n",
    "        ypos = np.arange(len(column_dict.keys()))\n",
    "        plt.figure(figsize=(15,15))\n",
    "        plt.xticks(ypos,column_dict.keys())\n",
    "        plt.xlabel(column)\n",
    "        plt.ylabel(\"Frequency\")\n",
    "        plt.bar(ypos,column_dict.values())\n",
    "        plt.show()\n",
    "        plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For categorical columns we can observe the graphs and see that it is hard to think of a reason for the missing values:\n",
    "\n",
    "Color - Most movies are in color, it make sense that many movies with missing values for gross will be movies in color.\n",
    "\n",
    "Genre - many different genres have missing values for gross.\n",
    "\n",
    "Language - Most movies in data are spoken in english, it make sense that most movies with missing values for gross will be movies spoken in english. Furthermore, many other languages have missing values for gross.\n",
    "\n",
    "Country - Most movies were filmed in USA. Similar to previous feature, data make sense.\n",
    "\n",
    "Content Rating - The R category has the most missing values, but other categories,such as: PG, PG-13,Not Rated,etc.. has many missing values as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAELCAYAAADDZxFQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAGFtJREFUeJzt3Xu4JVV55/HvTzBcoglgH5TpBhtMa8Q7dghGzSB4wcuAyagBibZK0qPBeIsaiBnJzBOewcQRNTEqKoJGBcQLKCaCiOJMFGwuchEMHSHYQux2FPAKNrzzR60D26a6e/fp3nufy/fzPOfZVatWVb3r9O7z7lVVe61UFZIkbeg+kw5AkjQ7mSAkSb1MEJKkXiYISVIvE4QkqZcJQpLUywQhSeplgpAk9TJBSJJ6bT/pALbGokWLaunSpZMOQ5LmlEsuueT7VTW1uXpzOkEsXbqUVatWTToMSZpTkvz7MPW8xCRJ6mWCkCT1MkFIknqZICRJvUwQkqReJghJUi8ThCSplwlCktTLBCFJ6jWnv0k9Fy095pyJnfuGE549sXNLmnvsQUiSepkgJEm9TBCSpF4jSxBJTk6yNslVG5T/aZJvJbk6yd8MlB+bZHXb9oxRxSVJGs4ob1KfAvw98KHpgiRPAQ4DHl1VtyfZvZXvCxwOPAL4T8AXkjy0qu4cYXySpE0YWQ+iqi4EfrBB8SuAE6rq9lZnbSs/DDitqm6vquuB1cD+o4pNkrR5474H8VDgyUkuSvLlJL/VyhcD3xmot6aV3UuSlUlWJVm1bt26EYcrSQvXuBPE9sCuwAHAG4AzkgRIT93qO0BVnVRVy6tq+dTUZmfMkyTN0LgTxBrgk9W5GLgLWNTK9xyotwS4acyxSZIGjDtBfBo4CCDJQ4FfAb4PnA0cnmSHJHsDy4CLxxybJGnAyJ5iSvIx4EBgUZI1wHHAycDJ7dHXO4AVVVXA1UnOAL4JrAeO9gkmSZqskSWIqjpiI5v+cCP1jweOH1U8kqQt4zepJUm9TBCSpF4mCElSLxOEJKmXCUKS1MsEIUnqZYKQJPUyQUiSepkgJEm9TBCSpF4mCElSLxOEJKmXCUKS1MsEIUnqZYKQJPUaWYJIcnKStW1yoA23vT5JJVnU1pPknUlWJ7kiyX6jikuSNJxR9iBOAQ7ZsDDJnsDTgBsHip9JN83oMmAl8O4RxiVJGsLIEkRVXQj8oGfTicAbgRooOwz4UHW+BuySZI9RxSZJ2ryx3oNIcijw3ar6xgabFgPfGVhf08okSRMysjmpN5RkZ+BNwNP7NveUVU8ZSVbSXYZir7322mbxSZJ+2Th7EA8B9ga+keQGYAlwaZIH0fUY9hyouwS4qe8gVXVSVS2vquVTU1MjDlmSFq6xJYiqurKqdq+qpVW1lC4p7FdV/wGcDby4Pc10AHBrVd08rtgkSfc2ysdcPwZ8FXhYkjVJjtpE9c8B3wZWA+8D/mRUcUmShjOyexBVdcRmti8dWC7g6FHFIknacn6TWpLUywQhSeplgpAk9TJBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqZcJQpLUywQhSeplgpAk9TJBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqdcoZ5Q7OcnaJFcNlP1tkmuTXJHkU0l2Gdh2bJLVSb6V5BmjikuSNJxR9iBOAQ7ZoOw84JFV9WjgX4FjAZLsCxwOPKLt8w9JththbJKkzRhZgqiqC4EfbFB2blWtb6tfA5a05cOA06rq9qq6nm5u6v1HFZskafMmeQ/iZcA/teXFwHcGtq1pZZKkCZlIgkjyJmA98JHpop5qtZF9VyZZlWTVunXrRhWiJC14Y08QSVYAzwGOrKrpJLAG2HOg2hLgpr79q+qkqlpeVcunpqZGG6wkLWBjTRBJDgH+HDi0qn46sOls4PAkOyTZG1gGXDzO2CRJv2z7UR04yceAA4FFSdYAx9E9tbQDcF4SgK9V1cur6uokZwDfpLv0dHRV3Tmq2CRJmzeyBFFVR/QUf2AT9Y8Hjh9VPJKkLeM3qSVJvUbWg5hLlh5zzt3LN5zw7AlGIkmzhz0ISVIvE4QkqZcJQpLUywQhSeplgpAk9TJBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqddQCSLJI0cdiCRpdhm2B/GeJBcn+ZMku4w0IknSrDBUgqiqJwFH0s36tirJR5M8baSRSZImauh7EFV1HfCXdDPC/WfgnUmuTfL7owpOkjQ5w96DeHSSE4FrgIOA/1JVD2/LJ25kn5OTrE1y1UDZbknOS3Jde921lSfJO5OsTnJFkv22umWSpK0ybA/i74FLgcdU1dFVdSlAVd1E16vocwpwyAZlxwDnV9Uy4Py2DvBMunmolwErgXcP2wBJ0mgMmyCeBXy0qn4GkOQ+SXYGqKoP9+1QVRcCP9ig+DDg1LZ8KvDcgfIPVedrwC5J9hi+GZKkbW3YBPEFYKeB9Z1b2ZZ6YFXdDNBed2/li4HvDNRb08okSRMybILYsap+PL3SlnfehnGkp6x6KyYrk6xKsmrdunXbMARJ0qBhE8RPBm8cJ3k88LMZnO9705eO2uvaVr6G7hHaaUuAm/oOUFUnVdXyqlo+NTU1gxAkScMYNkG8Bvh4kq8k+QpwOvDKGZzvbGBFW14BnDVQ/uL2NNMBwK3Tl6IkSZOx/TCVqurrSX4TeBjd5aBrq+oXm9onyceAA4FFSdYAxwEnAGckOQq4EXh+q/45uhvhq4GfAi/d8qZIkraloRJE81vA0rbP45JQVR/aWOWqOmIjmw7uqVvA0VsQiyRpxIZKEEk+DDwEuBy4sxUXsNEEIUma24btQSwH9m2f9CVJC8CwN6mvAh40ykAkSbPLsD2IRcA3k1wM3D5dWFWHjiQqSdLEDZsg/mqUQUiSZp9hH3P9cpIHA8uq6gttHKbtRhuaJGmShh3u+4+BM4H3tqLFwKdHFZQkafKGvUl9NPBE4Da4e/Kg3Te5hyRpThs2QdxeVXdMryTZno0MpidJmh+GTRBfTvIXwE5tLuqPA58ZXViSpEkbNkEcA6wDrgT+G93YSRubSU6SNA8M+xTTXcD72o8kaQEYdiym6+m551BV+2zziCRJs8KWjMU0bUe6Ybp32/bhaJSWHnPOpEMYuxtOePakQ5DmrKHuQVTV/xv4+W5VvR04aMSxSZImaNhLTPsNrN6Hrkdx/5FEJEmaFYa9xPS/B5bXAzcAL5jpSZO8FvgjuvsaV9LNILcHcBrdpatLgRcNfvdCkjRewz7F9JRtdcIki4FX0c0v8bMkZwCH0005emJVnZbkPcBRwLu31XklSVtm2EtMr9vU9qp62wzOu1OSXwA7AzfT3dN4Ydt+Kt0IsiYISZqQYb8otxx4Bd0gfYuBlwP70t2H2KJ7EVX1XeCtwI10ieFW4BLglqpa36qtaeeRJE3IlkwYtF9V/QggyV8BH6+qP9rSEybZFTgM2Bu4hW7Yjmf2VO0d6ynJSmAlwF577bWlp5ckDWnYHsRewOAN4zuApTM851OB66tqXVX9Avgk8DvALm0QQIAlwE19O1fVSVW1vKqWT01NzTAESdLmDNuD+DBwcZJP0X2y/z3gQzM8543AAW3SoZ8BBwOrgAuA59E9ybQCOGuGx5ckbQPDPsV0fJJ/Ap7cil5aVZfN5IRVdVGSM+keZV0PXAacBJwDnJbkr1vZB2ZyfEnStjFsDwK6p41uq6oPJplKsndVXT+Tk1bVccBxGxR/G9h/JseTJG17wz7mehzdk0wPAz4I3Bf4R7pZ5uaVwfGKHMdH0kI27E3q3wMOBX4CUFU34VAbkjSvDZsg7qiqoj16muRXRxeSJGk2GDZBnJHkvXSPov4x8AWcPEiS5rVhn2J6a5uL+ja6+xBvrqrzRhqZJGmiNpsgkmwHfL6qngqYFCRpgdhsgqiqO5P8NMmvV9Wt4whqtvCJJkkL2bDfg/g5cGWS82hPMgFU1atGEpUkaeKGTRDntB9J0gKxyQSRZK+qurGqTh1XQJKk2WFzj7l+enohySdGHIskaRbZXILIwPI+owxEkjS7bC5B1EaWJUnz3OZuUj8myW10PYmd2jJtvarq10YanSRpYjaZIKpqu3EFIkmaXYYdi0mStMBMJEEk2SXJmUmuTXJNkick2S3JeUmua6+7TiI2SVJnUj2IdwD/XFW/CTwGuAY4Bji/qpYB57d1SdKEjD1BJPk14Hdpc05X1R1VdQtwGDD9hbxTgeeOOzZJ0j0m0YPYB1gHfDDJZUne3yYgemBV3QzQXnefQGySpGYSCWJ7YD/g3VX1OLrB/4a+nJRkZZJVSVatW7duVDFK0oI3iQSxBlhTVRe19TPpEsb3kuwB0F7X9u1cVSdV1fKqWj41NTWWgCVpIRp7gqiq/wC+k+Rhrehg4JvA2cCKVrYCOGvcsUmS7jHscN/b2p8CH0nyK8C3gZfSJaszkhwF3Ag8f0KxSZKYUIKoqsuB5T2bDh53LJKkfn6TWpLUa1KXmOYc56eWtNDYg5Ak9TJBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqZcJQpLUywQhSeplgpAk9TJBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqdfEEkSS7ZJcluSzbX3vJBcluS7J6W22OUnShEyyB/Fq4JqB9bcAJ1bVMuCHwFETiUqSBEwoQSRZAjwbeH9bD3AQcGarcirw3EnEJknqTKoH8XbgjcBdbf0BwC1Vtb6trwEWTyIwSVJn7AkiyXOAtVV1yWBxT9XayP4rk6xKsmrdunUjiVGSNJkexBOBQ5PcAJxGd2np7cAuSabnyF4C3NS3c1WdVFXLq2r51NTUOOKVpAVp7Amiqo6tqiVVtRQ4HPhiVR0JXAA8r1VbAZw1yjiWHnPOKA8vSXPebPoexJ8Dr0uymu6exAcmHI8kLWjbb77K6FTVl4AvteVvA/tPMh5J0j1mUw9CkjSLmCAkSb0meolprhq8wX3DCc+eYCSSNDr2ICRJvUwQkqReJghJUi/vQWyljX3hznsTkuY6exCSpF4mCElSLy8xjYiPwkqa6+xBSJJ6mSAkSb1MEJKkXiYISVIvE4QkqZdPMY2Bs9dJmovG3oNIsmeSC5Jck+TqJK9u5bslOS/Jde1113HHJkm6xyQuMa0H/qyqHg4cABydZF/gGOD8qloGnN/WR85P95LUb+wJoqpurqpL2/KPgGuAxcBhwKmt2qnAc8cdmyTpHhO9SZ1kKfA44CLggVV1M3RJBNh91Oe39yBJGzexBJHkfsAngNdU1W1bsN/KJKuSrFq3bt3oApSkBW4iCSLJfemSw0eq6pOt+HtJ9mjb9wDW9u1bVSdV1fKqWj41NTWegCVpAZrEU0wBPgBcU1VvG9h0NrCiLa8Azhp3bJKke0ziexBPBF4EXJnk8lb2F8AJwBlJjgJuBJ4/gdgkSc3YE0RV/R8gG9l88DhjkSRtnENtSJJ6OdSG5rWF+CizE1RpW7EHIUnqZYKQJPUyQUiSepkgJEm9TBCSpF4mCElSLxOEJKmXCUKS1MsEIUnqZYKQJPUyQUiSepkgJEm9TBCSpF4mCElSr1k33HeSQ4B3ANsB76+qEyYckjSnOMS5tpVZ1YNIsh3wLuCZwL7AEUn2nWxUkrQwzaoEAewPrK6qb1fVHcBpwGETjkmSFqTZliAWA98ZWF/TyiRJYzbb7kGkp6x+qUKyEljZVn+c5FszPNci4Psz3Heuss0Lw4Jrc96y8NrM1v07P3iYSrMtQawB9hxYXwLcNFihqk4CTtraEyVZVVXLt/Y4c4ltXhhs88IwjjbPtktMXweWJdk7ya8AhwNnTzgmSVqQZlUPoqrWJ3kl8Hm6x1xPrqqrJxyWJC1IsypBAFTV54DPjeFUW32Zag6yzQuDbV4YRt7mVNXma0mSFpzZdg9CkjRLLLgEkeSQJN9KsjrJMZOOZ1tJcnKStUmuGijbLcl5Sa5rr7u28iR5Z/sdXJFkv8lFPnNJ9kxyQZJrklyd5NWtfN62O8mOSS5O8o3W5v/RyvdOclFr8+ntIQ+S7NDWV7ftSycZ/9ZIsl2Sy5J8tq3P6zYnuSHJlUkuT7KqlY31vb2gEsQ8H8rjFOCQDcqOAc6vqmXA+W0duvYvaz8rgXePKcZtbT3wZ1X1cOAA4Oj27zmf2307cFBVPQZ4LHBIkgOAtwAntjb/EDiq1T8K+GFV/QZwYqs3V70auGZgfSG0+SlV9diBx1nH+96uqgXzAzwB+PzA+rHAsZOOaxu2bylw1cD6t4A92vIewLfa8nuBI/rqzeUf4CzgaQul3cDOwKXAb9N9YWr7Vn73+5zuicAntOXtW71MOvYZtHUJ3R/Eg4DP0n2pdr63+QZg0QZlY31vL6geBAtvKI8HVtXNAO1191Y+734P7TLC44CLmOftbpdaLgfWAucB/wbcUlXrW5XBdt3d5rb9VuAB4414m3g78Ebgrrb+AOZ/mws4N8klbQQJGPN7e9Y95jpimx3KY4GYV7+HJPcDPgG8pqpuS/qa11XtKZtz7a6qO4HHJtkF+BTw8L5q7XXOtznJc4C1VXVJkgOni3uqzps2N0+sqpuS7A6cl+TaTdQdSZsXWg9is0N5zDPfS7IHQHtd28rnze8hyX3pksNHquqTrXjetxugqm4BvkR3/2WXJNMf+AbbdXeb2/ZfB34w3ki32hOBQ5PcQDfC80F0PYr53Gaq6qb2upbug8D+jPm9vdASxEIbyuNsYEVbXkF3jX66/MXtyYcDgFunu61zSbquwgeAa6rqbQOb5m27k0y1ngNJdgKeSnfj9gLgea3ahm2e/l08D/hitYvUc0VVHVtVS6pqKd3/2S9W1ZHM4zYn+dUk959eBp4OXMW439uTvhEzgRs/zwL+le667ZsmHc82bNfHgJuBX9B9mjiK7rrr+cB17XW3Vjd0T3P9G3AlsHzS8c+wzU+i60ZfAVzefp41n9sNPBq4rLX5KuDNrXwf4GJgNfBxYIdWvmNbX9227zPpNmxl+w8EPjvf29za9o32c/X036pxv7f9JrUkqddCu8QkSRqSCUKS1MsEIUnqZYKQJPUyQUiSepkgJEm9TBBSk+Rf2uvSJC8cKF+e5J0zON7z21DkF2zLOGdium3SlvB7EFrwkmxX3fhG0+sHAq+vquds5XH/GXhLVQ2VIJJsX/cMPjdUrNIo2YPQRLRP6dckeV+b+ObcJDsl+VKS5a3Oojb+DklekuTTST6T5Pokr0zyujaBzNeS7LaJc/1Gki+km2Tn0iQPSXJgusmGPkr3zVOS/LjtcgLw5DZRy2tb3elJau6X5INtIpcrkvzXjZzzzXTf9H5Pkr9NN9HP9H6XJXnKQLs+nuQzwLkbOVZfrH+YbuKgy5O8t43w+ookfzOw30uS/N0GbSPJG5J8vcU/PeHQG5O8qi2fmOSLbfngJP/Yjn9KkqtaG167qX9fzQ8mCE3SMuBdVfUI4Bag94/tgEcCL6QbtOx44KdV9Tjgq8CLN7HfR9p5HgP8Dt2QJLTjvKmqNpw06hjgK9VN1HLiBtv+O904N4+qqkcDX+w7YVX9T2AVcGRVvQE4upU/CjgCODXJjq36E4AVVXXQJtpwd6xJHg78Ad1on48F7gSOBM4Efn9gnz8ATh88SJKn0/3e96ebcOjxSX4XuBB4cqu2HLhfuoEQnwR8pdVdXFWPbG344CZi1Tyx0Ib71uxyfVVd3pYvoZvwaFMuqKofAT9KcivwmVZ+Jd0YRffSBjxbXFWfAqiqn7dygIur6votjPmpdAPG0Y73wyH3exLwd22fa5P8O/DQtu28qtrcaKODsR4MPB74emvHTnTDYa9L8u02WNt1wMOA/7vBcZ7efi5r6/ejSxgfoksW96ebte5SukTxZOBVdEl1n9YjOYeN9HY0v5ggNEm3DyzfSfeHbj339Gx33ET9uwbW72Lj7+WNTg4B/GS4MO91vJncuNvaOAbrBDi1qo7tqXc68ALgWuBTde+bjAH+V1W9914BdpfzXgr8C91ggE8BHkI3Wm4leQzwDLre0AuAlw0Rt+YwLzFptrmB7tMx3DOU84xV1W3AmiTPhbsntN95M7v9CLj/RradC7xyeiVt0vghXEh3GYgkDwX2opsWcibOB56XbiKZ6YnsH9y2fRJ4Lt1lrNN79v088LJ0kyyRZPH0cVqMr2+vXwFeDlzeksMi4D5V9Qm6y2z7zTB2zSEmCM02bwVe0R7LXLSNjvki4FVJrqD7dPygzdS/AljfbmpveDP2r4Fd283ab9B9yh7GPwDbJbmS7g/3S6rq9s3s06uqvgn8Jd10lFfQTTu6R9v2Q+CbwIOr6uKefc8FPgp8tcVyJvckw6+043y1qr4H/LyVQTd95ZfSTXV6Ct187prnfMxVktTLHoQkqZc3qTVvJHkX3fzFg95RVSN9JDPJRcAOGxS/qKqu3MLjPAr48AbFt1fVb29NfNJMeYlJktTLS0ySpF4mCElSLxOEJKmXCUKS1MsEIUnq9f8Byzq4nbzZN7sAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for column in relevant_columns:\n",
    "    dtype = df_missing_gross[column].dtype   \n",
    "    if dtype != 'object':\n",
    "        if column=='num_critic_for_reviews':\n",
    "            plt.hist(df_missing_gross[column].fillna(-1000),bins=[1,2,3,4,5,10,15,20,25,30,35,40,45,50,100,200,300,400,500])\n",
    "        elif column=='budget':\n",
    "            plt.hist(df_missing_gross[column].fillna(-1000),\n",
    "                    bins=[10000,30000,50000,70000,90000,110000,150000,200000,300000,\n",
    "                           500000,1000000,2000000,5000000,\n",
    "                           10000000,20000000,30000000,40000000,50000000,\n",
    "                           100000000,200000000,300000000])\n",
    "        elif column=='title_year':\n",
    "            plt.hist(df_missing_gross[column].fillna(-1000),\n",
    "                    bins=[i for i in range(1916,2016,10)])\n",
    "        elif column=='num_user_for_reviews':\n",
    "            plt.hist(df_missing_gross[column].fillna(-1000),\n",
    "                    bins=[i for i in range(0,1000,10)])\n",
    "        else:\n",
    "            plt.hist(df_missing_gross[column].fillna(-1000))\n",
    "        plt.xlabel(column)\n",
    "        plt.ylabel(\"Frequency\") \n",
    "        plt.show()\n",
    "        plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For numeric column:\n",
    "\n",
    "num_critic_for_reviews - most values have less than 200 reviews, some have only less than 10 reviews. But as we can see in the plot below most movies has less than 250 reviews.\n",
    "\n",
    "duration - most movies are longer than 90 minutes. Data don't show us additional information.\n",
    "\n",
    "budget - most movies' budget is below 20M. We can infer from graph below that for gross data is missing might be correlated to movies with low budget.\n",
    "\n",
    "title_year - there are ~ 100 movies from last 30 years with missing data, but most movies are from before the 90's."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# histogram on all data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# num_critic_for_reviews "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['num_critic_for_reviews'].fillna(-1000))\n",
    "plt.xlabel('num_critic_for_reviews')\n",
    "plt.ylabel(\"Frequency\") \n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# num_voted_users"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZ0AAAELCAYAAAAC4Fv8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAF55JREFUeJzt3Xm0ZWV95vHvIyWTUQYpTQXQAq0YwbQKFcRFTBQVEaNoWiO2SyvIko7iirRmtaC2QxK6JWpj6BgVW1pEI4MaxamxgoBLOwKFMshklUBLCQ2lKDhCgF//sd8rpy53OLfqnn3vPX4/a511937Pu/f+nV3n1lN7qHenqpAkqQ8PWugCJEm/OQwdSVJvDB1JUm8MHUlSbwwdSVJvDB1JUm8MHUlSbwwdSVJvDB1JUm+WLXQBo7DbbrvVypUrF7oMSVpSLr300h9W1fJRbmMsQ2flypWsW7duocuQpCUlyf8d9TY8vSZJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSerNWI5IsLVWHvfFBdnuje963oJsV5L64pGOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTcjD50k2yT5dpIvtPm9klyUZH2SM5Ns29q3a/Mb2vsrB9ZxfGu/LslzRl2zJGk0+jjSeT1wzcD8icBJVbUK+DFwVGs/CvhxVT0WOKn1I8k+wBHAvsChwD8m2aaHuiVJ82ykoZNkD+B5wP9s8wEOBj7VupwGvLBNH97mae8/s/U/HDijqu6qqhuADcABo6xbkjQaoz7SeR/wn4H72vzDgZ9U1T1tfiOwe5veHbgJoL1/R+v/6/Yplvm1JEcnWZdk3aZNm+b7c0iS5sHIQifJnwC3VdWlg81TdK1Z3ptpmfsbqk6pqtVVtXr58uVzrleSNHqjfIjbQcALkhwGbA88jO7IZ+cky9rRzB7Aza3/RmBPYGOSZcBOwO0D7RMGl5EkLSEjO9KpquOrao+qWkl3I8BXq+rlwPnAi1u3NcDn2vQ5bZ72/lerqlr7Ee3utr2AVcDFo6pbkjQ6C/G46jcBZyT5W+DbwEda+0eA05NsoDvCOQKgqq5KchZwNXAPcExV3dt/2ZKkrdVL6FTVBcAFbfp6prj7rKp+BbxkmuVPAE4YXYWSpD44IoEkqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3ho4kqTeGjiSpN4aOJKk3IwudJNsnuTjJ5UmuSvLO1r5XkouSrE9yZpJtW/t2bX5De3/lwLqOb+3XJXnOqGqWJI3WKI907gIOrqonAk8CDk1yIHAicFJVrQJ+DBzV+h8F/LiqHguc1PqRZB/gCGBf4FDgH5NsM8K6JUkjMrLQqc7P2uyD26uAg4FPtfbTgBe26cPbPO39ZyZJaz+jqu6qqhuADcABo6pbkjQ6I72mk2SbJJcBtwFrge8BP6mqe1qXjcDubXp34CaA9v4dwMMH26dYZnBbRydZl2Tdpk2bRvFxJElbaaShU1X3VtWTgD3ojk4eP1W39jPTvDdd++RtnVJVq6tq9fLly7e0ZEnSCPVy91pV/QS4ADgQ2DnJsvbWHsDNbXojsCdAe38n4PbB9imWkSQtIaO8e215kp3b9A7As4BrgPOBF7dua4DPtelz2jzt/a9WVbX2I9rdbXsBq4CLR1W3JGl0ls3eZYutAE5rd5o9CDirqr6Q5GrgjCR/C3wb+Ejr/xHg9CQb6I5wjgCoqquSnAVcDdwDHFNV946wbknSiIwsdKrqCuDJU7RfzxR3n1XVr4CXTLOuE4AT5rtGSVK/HJFAktQbQ0eS1BtDR5LUG0NHktQbQ0eS1JuhQifJE0ZdiCRp/A17pPPB9piC1078h09JkuZqqNCpqj8EXk43HM26JP+U5NkjrUySNHaGvqZTVeuBtwJvAv4YODnJtUn+dFTFSZLGy7DXdP5dkpPoxk47GHh+VT2+TZ80wvokSWNk2GFw/gH4MPDmqvrlRGNV3ZzkrSOpTJI0doYNncOAX04MtJnkQcD2VfWLqjp9ZNVJksbKsNd0/gXYYWB+x9YmSdLQhg2d7avqZxMzbXrH0ZQkSRpXw4bOz5PsNzGTZH/glzP0lyTpAYa9pnMscHaSicdErwBeOpqSJEnjaqjQqapLkvwe8DggwLVV9W8jrUySNHbm8uTQPwBWtmWenISq+thIqpIkjaWhQifJ6cBjgMuAe1tzAYaOJGlowx7prAb2qaoaZTGSpPE27N1r3wF+e5SFSJLG37BHOrsBVye5GLhrorGqXjCSqiRJY2nY0HnHKIuQJP1mGPaW6QuTPBpYVVX/kmRHYJvRliZJGjfDPtrg1cCngA+1pt2Bz46qKEnSeBr2RoJjgIOAO+HXD3R7xKiKkiSNp2FD566quntiJskyuv+nI0nS0IYNnQuTvBnYIcmzgbOBz4+uLEnSOBo2dI4DNgFXAv8R+BLgE0MlSXMy7N1r99E9rvrDoy1HkjTOhh177QamuIZTVXvPe0WSpLE1l7HXJmwPvATYdf7LkSSNs6Gu6VTVjwZeP6iq9wEHj7g2SdKYGfb02n4Dsw+iO/J56EgqkiSNrWFPr713YPoe4Ebgz+a9GknSWBv27rVnjLoQSdL4G/b02htmer+q/vv8lCNJGmdzuXvtD4Bz2vzzga8BN42iKEnSeBp2RILdgP2q6o1V9UZgf2CPqnpnVb1zqgWS7Jnk/CTXJLkqyetb+65J1iZZ337u0tqT5OQkG5JcMXjzQpI1rf/6JGu27iNLkhbKsKHzKODugfm7gZWzLHMP8MaqejxwIHBMkn3ohtQ5r6pWAee1eYDnAqva62jgA9CFFPB24CnAAcDbJ4JKkrS0DHt67XTg4iT/TDcywYuAj820QFXdAtzSpn+a5Bq65/AcDjy9dTsNuAB4U2v/WFUV8M0kOydZ0fqurarbAZKsBQ4FPjlk7ZKkRWLYu9dOSPJl4Gmt6ciq+vawG0myEngycBHwyBZIVNUtSSaey7M7m18j2tjapmuXJC0xw55eA9gRuLOq/h7YmGSvYRZK8lvAp4Fjq+rOmbpO0VYztE/eztFJ1iVZt2nTpmFKkyT1bNjHVb+d7hTY8a3pwcDHh1juwXSB84mq+kxrvrWdNqP9vK21bwT2HFh8D+DmGdo3U1WnVNXqqlq9fPnyYT6WJKlnwx7pvAh4AfBzgKq6mVmGwUkS4CPANZP+H885wMQdaGuAzw20v7LdxXYgcEc7DXcucEiSXdoNBIe0NknSEjPsjQR3V1UlKYAkDxlimYOAVwBXJrmstb0ZeBdwVpKjgO/TjVgN3YPhDgM2AL8AjgSoqtuT/A1wSev31xM3FUiSlpZhQ+esJB8Cdk7yauBVzPJAt6r6OlNfjwF45hT9CzhmmnWdCpw6ZK2SpEVq2LvX3pPk2cCdwOOAt1XV2pFWJkkaO7OGTpJtgHOr6lmAQSNJ2mKz3khQVfcCv0iyUw/1SJLG2LDXdH5Fd0PAWtodbABV9ZcjqUqSNJaGDZ0vtpckSVtsxtBJ8qiq+n5VndZXQZKk8TXbNZ3PTkwk+fSIa5EkjbnZQmfw/9nsPcpCJEnjb7bQqWmmJUmas9luJHhikjvpjnh2aNO0+aqqh420OknSWJkxdKpqm74KkSSNv7k8T0eSpK1i6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknpj6EiSemPoSJJ6Y+hIknozstBJcmqS25J8Z6Bt1yRrk6xvP3dp7UlycpINSa5Ist/AMmta//VJ1oyqXknS6I3ySOejwKGT2o4DzquqVcB5bR7gucCq9joa+AB0IQW8HXgKcADw9omgkiQtPSMLnar6GnD7pObDgdPa9GnACwfaP1adbwI7J1kBPAdYW1W3V9WPgbU8MMgkSUtE39d0HllVtwC0n49o7bsDNw3029japmuXJC1Bi+VGgkzRVjO0P3AFydFJ1iVZt2nTpnktTpI0P/oOnVvbaTPaz9ta+0Zgz4F+ewA3z9D+AFV1SlWtrqrVy5cvn/fCJUlbr+/QOQeYuANtDfC5gfZXtrvYDgTuaKffzgUOSbJLu4HgkNYmSVqClo1qxUk+CTwd2C3JRrq70N4FnJXkKOD7wEta9y8BhwEbgF8ARwJU1e1J/ga4pPX766qafHOCJGmJGFnoVNXLpnnrmVP0LeCYadZzKnDqPJYmSVogi+VGAknSbwBDR5LUG0NHktQbQ0eS1BtDR5LUG0NHktQbQ0eS1BtDR5LUG0NHktQbQ0eS1BtDR5LUG0NHktQbQ0eS1BtDR5LUG0NHktQbQ0eS1BtDR5LUG0NHktQbQ0eS1BtDR5LUm2ULXYDut/K4Ly7Idm981/MWZLuSfvN4pCNJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqjaEjSeqNz9PRgj3HB3yWj/SbxiMdSVJvDB1JUm+WTOgkOTTJdUk2JDluoeuRJM3dkrimk2Qb4P3As4GNwCVJzqmqqxe2Mm2thbqe5LUkaWEslSOdA4ANVXV9Vd0NnAEcvsA1SZLmaEkc6QC7AzcNzG8EnrJAtWgMLOQdewvFozstBksldDJFW23WITkaOLrN/izJdVuxvd2AH27F8gvBmvuxZGvOiQtdxpws2f280EXM0eSaHz3qDS6V0NkI7Dkwvwdw82CHqjoFOGU+NpZkXVWtno919cWa+2HN/bDmfixEzUvlms4lwKokeyXZFjgCOGeBa5IkzdGSONKpqnuSvA44F9gGOLWqrlrgsiRJc7QkQgegqr4EfKmnzc3LabqeWXM/rLkf1tyP3mtOVc3eS5KkebBUrulIksZBVflqL+BQ4DpgA3BcD9vbEzgfuAa4Cnh9a38H8APgsvY6bGCZ41t91wHPma12YC/gImA9cCawbWvfrs1vaO+vnGPtNwJXtvrWtbZdgbVtW2uBXVp7gJPbtq4A9htYz5rWfz2wZqB9/7b+DW3ZzLSNIep93MD+vAy4Ezh2se1r4FTgNuA7A20Ltl9n2sYsNb8buLYt88/Azq19JfDLgf39wVHUNt3nn6XmBf0uTLeNWWo+c6DeG4HLFtN+nvI7Ph9/eY7Di+4Ghe8BewPbApcD+4x4mysm/gCBhwLfBfZpX/6/mqL/Pq2u7dqX+nut7mlrB84CjmjTHwRe06ZfO/FFpLsb8Mw51n4jsNuktr+b+MUDjgNObNOHAV9uX94DgYsGvuTXt5+7tOmJL/rFwFPbMl8GnjvTNrbgz/r/0f2fhEW1r4E/AvZj879YFmy/TreNIWo+BFjWpk8cWN/KwX6T1jMvtc30+WepecG+C9NtY7aaJ73/XuBti2k/T7n9uf7Cjuur/SGcOzB/PHB8zzV8jm58uem+/JvVRHc331Onq719SX7I/b/8v+43sWybXtb6ZQ613sgDQ+c6YEWbXgFc16Y/BLxscj/gZcCHBto/1NpWANcOtP+633TbmON+PgT4RptedPt68l8YC7lfp9vGbDVPeu9FwCdm6jeftU33+YfYzwv2XZhuG8Pu57aOm4BVi20/T355Ted+Uw21s3tfG0+yEngy3SE3wOuSXJHk1CS7zFLjdO0PB35SVfdMat9sXe39O1r/YRXwlSSXttEgAB5ZVbe0dd4CPGIL6969TU9un2kbc3EE8MmB+cW+rxdyv87H78Wr6P6lPGGvJN9OcmGSpw1sZ75q25qaF+q7sLX7+WnArVW1fqBtUe5nQ+d+sw61M7INJ78FfBo4tqruBD4APAZ4EnAL3WHzTDXOtX2mdQ3roKraD3gucEySP5qh73zWvVXafy5+AXB2a1oK+3o6fezXrao9yVuAe4BPtKZbgEdV1ZOBNwD/lORh81zblta8kN+Frf2OvIzN/yG1aPezoXO/WYfaGYUkD6YLnE9U1WcAqurWqrq3qu4DPkw3yvZMNU7X/kNg5yTLJrVvtq72/k7A7cPWXVU3t5+30V0oPgC4NcmKts4VdBc9t6TujW16cjszbGNYzwW+VVW3tvoX/b5mYffrFv9eJFkD/Anw8mrnX6rqrqr6UZu+lO7axe/Oc21bVPMCfxe2Zj8vA/6U7qaCic+yaPfzSK9RLKUX3fnV6+ku4k1cFNx3xNsM8DHgfZPaVwxM/yfgjDa9L5tfbLye7mLmtLXT/Yt+8ILma9v0MWx+QfOsOdT9EOChA9P/h+4unnez+YXIv2vTz2PzC5EXt/ZdgRvoLkLu0qZ3be9d0vpOXOw8rLVPuY051H4GcORi3tc88FrDgu3X6bYxRM2HAlcDyyf1W067QE53Af4H813bTJ9/lpoX7Lsw3TZmq3lgX1+4WPfzAz7DXH5hx/1Fd5fGd+n+VfCWHrb3h3SHo1cwcJsmcDrdLY1X0I0xN/jL8JZW33W0u05mqr194S6mu93xbGC71r59m9/Q3t97DnXv3X5BLqe71fstrf3hwHl0t0+eN/AlD91D+L7XPtfqgXW9qtWwgc3DYDXwnbbMP3D/bZ1TbmPIuncEfgTsNNC2qPY13SmSW4B/o/uX5FELuV9n2sYsNW+gO9+/2S27wL9v35nLgW8Bzx9FbdN9/llqXtDvwnTbmKnm1v5R4C8m9V0U+3mqlyMSSJJ64zUdSVJvDB1JUm8MHUlSbwwdSVJvDB1JUm8MHUlSbwwdacSSHJtkxzku8/QkXxhVTdJCMXSk0TuW7j+mLmoDw7ZII2PoaCwkWZnkmiQfTnJVkq8k2SHJBUlWtz67JbmxTf95ks8m+XySG5K8Lskb2qi830yy6zTbeXySiydt94o2/cy2/JVtlOLtkvwl8DvA+UnOb/0OSfKvSb6V5Ow24CtJDk1ybZKv042lNdPnfUeSvxqY/06r5SFJvpjk8tb20vb+/m204UuTnDswxtYFSf5rkguB1yd5SVvu8iRf28I/Dmlaho7GySrg/VW1L/ATuqFAZvIE4D/QDex4AvCL6kbl/VfglVMtUFXXANsm2bs1vRQ4K8n2dMORvLSqfp9uXK7XVNXJdIMgPqOqnpFkN+CtwLOqG6V7HfCGtvyHgefTDVP/21uyA+jG4bq5qp5YVU8A/ncbVPZ/AC+uqv3pnkB5wsAyO1fVH1fVe4G30T218ol0o3FL88rQ0Ti5oaoua9OX0g2OOJPzq+qnVbWJ7rkmn2/tV86y7FnAn7Xpl9KN7vu4tv3vtvbT6J70ONmBdE+J/EaSy+ge9/to4Pfa8uurG5vq47PUPp0rgWclOTHJ06rqjlbbE4C1bZtvZfORhs8cmP4G8NEkr6Yb1FKaV57D1Ti5a2D6XmAHume5TPzjavsZ+t83MH8fM/9unAmcneQzQFXV+iRPGrLGAGur6mWbNXbLz2UgxMHPBe2zVdV3k+xPNxDlf0vyFbpHT1xVVU+dZl0/n5ioqr9I8hS6kYUvS/KkakPkS/PBIx2NuxuB/dv0i+djhVX1PbpQ+y/cf5RwLbAyyWPb/CuAC9v0T4GHtulvAgdN9EuyY5LfbcvvleQxrd9moTSFG4H92jr2oxsOnyS/Q3ea8OPAe1qf64DlSZ7a+jw4yb5TrTTJY6rqoqp6G91zYfacqp+0pTzS0bh7D901l1cAX53H9Z5J9/yRvQCq6ldJjqQ7AlpG98ySD7a+pwBfTnJLu67z58Ank2zX3n9rO0I5Gvhikh8CX6c7JTadTwOvbKfLLqEbXh/g94F3J7mPbgj811TV3UleDJycZCe63/v30Q19P9m7k6yiOyI7j25ofGne+GgDSVJvPL0mSeqNp9ekaSR5P3DQpOa/r6r/1WMNRwKvn9T8jao6pq8apPnk6TVJUm88vSZJ6o2hI0nqjaEjSeqNoSNJ6o2hI0nqzf8HA1FmEqxa23EAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['num_voted_users'].fillna(-1000))\n",
    "plt.xlabel('num_voted_users')\n",
    "plt.ylabel(\"Frequency\") \n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# num_user_for_reviews"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['num_user_for_reviews'].fillna(-1000))\n",
    "plt.xlabel('num_user_for_reviews')\n",
    "plt.ylabel(\"Frequency\") \n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#  Budget"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.hist(df['budget'].fillna(-1000),bins=[10000,30000,50000,70000,90000,110000,150000,200000,300000,\n",
    "                           500000,1000000,2000000,5000000,\n",
    "                           10000000,20000000,30000000,40000000,50000000,\n",
    "                           100000000,200000000,300000000])\n",
    "plt.xlabel('budget')\n",
    "plt.ylabel(\"Frequency\") \n",
    "plt.show()\n",
    "plt.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We suspect that most missing values for gross are related to old or low budget movies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Criteria 1 percantage: 97.51131221719457%\n",
      "Criteria 2 percantage: 92.64705882352942%\n",
      "75.213166765814\n"
     ]
    }
   ],
   "source": [
    "num_missing_records_gross_with_criteria_1 = df[((df['budget'] < 20000000)\n",
    "                          | (df['title_year'] < 1990)\n",
    "                          | (df['num_user_for_reviews'] < 200))\n",
    "                          & (df['gross'].isna())].shape[0]\n",
    "total_missing_gross = df_missing_gross.shape[0]\n",
    "percentage = float(num_missing_records_gross_with_criteria_1)/total_missing_gross*100\n",
    "print ('Criteria 1 percantage: ' + str(percentage) + '%')\n",
    "\n",
    "num_missing_records_gross_with_criteria_2 = df[(df['num_critic_for_reviews'] < 200)\n",
    "                          & (df['gross'].isna())].shape[0]\n",
    "total_missing_gross = df_missing_gross.shape[0]\n",
    "percentage = float(num_missing_records_gross_with_criteria_2)/total_missing_gross*100\n",
    "print ('Criteria 2 percantage: ' + str(percentage) + '%')\n",
    "\n",
    "general_records_low_num_critic_for_reviews = df[(df['num_critic_for_reviews'] < 200)].shape[0]\n",
    "percentage = float(general_records_low_num_critic_for_reviews)/(df.shape[0])*100\n",
    "print(percentage)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Criteria percantage: 21.153846153846153%\n"
     ]
    }
   ],
   "source": [
    "num_missing_records_gross_with_criteria = df[((df['budget'] < 20000000)\n",
    "                          & (df['title_year'] < 1990)\n",
    "                          & (df['num_critic_for_reviews'] < 200))\n",
    "                          & (df['gross'].isna())].shape[0]\n",
    "total_missing_gross = df_missing_gross.shape[0]\n",
    "percentage = float(num_missing_records_gross_with_criteria)/total_missing_gross*100\n",
    "print ('Criteria percantage: ' + str(percentage) + '%')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "IMDB Score Average: 6.442137616498111\n",
      "IMDB Score Average Without Missing Gross Records: 6.311538461538459\n"
     ]
    }
   ],
   "source": [
    "imdb_score_average = df['imdb_score'].mean()\n",
    "print('IMDB Score Average: ' + str(imdb_score_average))\n",
    "\n",
    "imdb_score_average_without_gross = df_missing_gross['imdb_score'].mean()\n",
    "print('IMDB Score Average Without Missing Gross Records: ' + str(imdb_score_average_without_gross))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import tree\n",
    "from sklearn.model_selection import train_test_split\n",
    "from sklearn.metrics import accuracy_score\n",
    "\n",
    "dtc = tree.DecisionTreeClassifier(max_depth = 3)\n",
    "\n",
    "df['missing_gross'] = np.where(df['gross'].isnull(),1,0)\n",
    "X = df.drop(columns=['missing_gross','gross'])\n",
    "X = pd.get_dummies(X)\n",
    "X = X.fillna(0)\n",
    "y = df['missing_gross']\n",
    "#X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "\n",
    "clf = dtc.fit(X,y)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.externals.six import StringIO  \n",
    "from IPython.display import Image  \n",
    "from sklearn.tree import export_graphviz\n",
    "import pydotplus \n",
    "\n",
    "dot_data = StringIO()\n",
    "export_graphviz(clf, out_file=dot_data,feature_names=X.columns,\n",
    "                filled=True, rounded=True,\n",
    "                special_characters=True)\n",
    "graph = pydotplus.graph_from_dot_data(dot_data.getvalue())  \n",
    "Image(graph.create_png())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split\n",
    "\n",
    "relevant_columns = ['budget','color','num_critic_for_reviews','duration',\n",
    "                    'genres','num_voted_users','num_user_for_reviews',\n",
    "                    'language','country','content_rating','gross','title_year']\n",
    "\n",
    "df_with_gross = df[df['gross'].notnull()][relevant_columns]\n",
    "\n",
    "categorical_title_year_df = pd.DataFrame(df['title_year'].fillna(0),dtype='category',index=df_with_gross.index) \n",
    "\n",
    "df_with_gross = df_with_gross.drop(columns=['title_year'],axis=1)\n",
    "df_with_gross = pd.concat([df_with_gross,categorical_title_year_df],axis=1)\n",
    "\n",
    "X = df_with_gross.drop(columns=['gross'],axis=1)\n",
    "X = pd.get_dummies(X)\n",
    "X = X.fillna(0)\n",
    "y = df_with_gross['gross']\n",
    "\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y, test_size=0.2, random_state=42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.ensemble import RandomForestRegressor\n",
    "\n",
    "dtc_1 = RandomForestRegressor(n_estimators=100)\n",
    "clf = dtc_1.fit(X_train, y_train)\n",
    "y_pred = clf.predict(X_test)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "38678163.634277575\n"
     ]
    }
   ],
   "source": [
    "from sklearn.metrics import mean_squared_error\n",
    "from math import sqrt\n",
    "rmse = sqrt(mean_squared_error(y_test, y_pred))\n",
    "print(rmse)\n",
    "#n_estimators=100, max_depth = 100 - 38906588.0489359\n",
    "#n_estimators=1000, max_depth = 100 - 38644699.17370469\n",
    "#n_estimators=1000 - 38,327,702.70690389\n",
    "#400 - 38339395.61646891\n",
    "\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count    1.150000e+02\n",
      "mean     4.282303e+07\n",
      "std      4.706069e+07\n",
      "min      1.349300e+04\n",
      "25%      1.030172e+07\n",
      "50%      2.478881e+07\n",
      "75%      5.678963e+07\n",
      "max      2.161195e+08\n",
      "Name: gross, dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = df.dropna()\n",
    "df_year = df[df['title_year']==1998]\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.xlabel('Gross')\n",
    "plt.ylabel('# Movies')\n",
    "plt.title('Year: 1998')\n",
    "plt.hist(df_year['gross'],rwidth=1/1.5,bins=[i for i in range(-10000000,200000000,10000000)])\n",
    "print(df_year['gross'].describe())\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "count    3.756000e+03\n",
      "mean     4.623685e+07\n",
      "std      2.260103e+08\n",
      "min      2.180000e+02\n",
      "25%      1.000000e+07\n",
      "50%      2.500000e+07\n",
      "75%      5.000000e+07\n",
      "max      1.221550e+10\n",
      "Name: budget, dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df = df.dropna()\n",
    "plt.figure(figsize=(10,5))\n",
    "plt.xlabel('Budget')\n",
    "plt.ylabel('# Movies')\n",
    "plt.hist(df['budget'],rwidth=1/1.5,bins=[i for i in range(-10000000,200000000,10000000)])\n",
    "print(df['budget'].describe())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}