{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Solutions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Environment setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "tags": [
     "hide-input"
    ]
   },
   "outputs": [],
   "source": [
    "# for Google Colab\n",
    "import os\n",
    "if 'COLAB_JUPYTER_IP' in os.environ:\n",
    "    !git clone https://github.com/bokulich-lab/DataVisualizationBook.git book\n",
    "\n",
    "    from book.utils import utils\n",
    "    utils.ensure_packages('book/requirements.txt')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2023-05-05T10:28:40.402229Z",
     "iopub.status.busy": "2023-05-05T10:28:40.401821Z",
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     "shell.execute_reply": "2023-05-05T10:28:40.438126Z",
     "shell.execute_reply.started": "2023-05-05T10:28:40.402195Z"
    },
    "jupyter": {
     "outputs_hidden": false
    },
    "tags": [
     "remove-output"
    ]
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import numpy as np\n",
    "\n",
    "# this is to silence pandas' warnings\n",
    "import warnings\n",
    "warnings.simplefilter(action='ignore')\n",
    "%config InlineBackend.figure_format='svg'\n",
    "\n",
    "FONT_FAMILY = 'DejaVu Sans'\n",
    "FONT_SCALE = 1.3\n",
    "\n",
    "# for Google Colab\n",
    "if 'COLAB_JUPYTER_IP' in os.environ:\n",
    "    data_dir = 'book/chapters/data'\n",
    "else:\n",
    "    data_dir = '../data'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data pre-processing\n",
    "\n",
    "All the exercises are based on the Kaggle [**cereals**](https://www.kaggle.com/code/hiralmshah/nutrition-data-analysis-from-80-cereals) dataset, which has 77 records and 16 columns containing nutritional information on different brands of breakfast cereals. The columns are:\n",
    "- **name** - name of the cereal\n",
    "- **mfr** - manufacturer of the cereals. You can find the association of the letter in the dataset with the real name in the `manufacturers_df` we have loaded below.\n",
    "- **type** - hot or cold, the preferred way of eating\n",
    "- **calories** - amount of calories\n",
    "- **fat** - grams of fat\n",
    "- **sodium** - milligrams of sodium\n",
    "- **fiber** - amount in grams\n",
    "- **carbo** - amount of carbohydrates in grams\n",
    "- **sugars** - amount in gram\n",
    "- **potass** - amount in milligrams\n",
    "- **vitamins** - vitamins and minerals (0, 25, 100) as a percentage of the Recommended Dietary Intake\n",
    "- **shelf** - shelf they appear in supermarket (1, 2 or 3 from the floor)\n",
    "- **weight** - weight in ounces\n",
    "- **cups** - number of cups\n",
    "- **rating** - rating of the cereals\n",
    "\n",
    "````{admonition} Note\n",
    "All the values are expresed per 100g portion.\n",
    "````"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:28.014634Z",
     "iopub.status.busy": "2023-05-03T11:48:28.014173Z",
     "iopub.status.idle": "2023-05-03T11:48:28.046800Z",
     "shell.execute_reply": "2023-05-03T11:48:28.045373Z",
     "shell.execute_reply.started": "2023-05-03T11:48:28.014596Z"
    },
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     "outputs_hidden": false
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    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>mfr</th>\n",
       "      <th>type</th>\n",
       "      <th>calories</th>\n",
       "      <th>protein</th>\n",
       "      <th>fat</th>\n",
       "      <th>sodium</th>\n",
       "      <th>fiber</th>\n",
       "      <th>carbo</th>\n",
       "      <th>sugars</th>\n",
       "      <th>potass</th>\n",
       "      <th>vitamins</th>\n",
       "      <th>shelf</th>\n",
       "      <th>weight</th>\n",
       "      <th>cups</th>\n",
       "      <th>rating</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100% Bran</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>70</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>130</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6</td>\n",
       "      <td>280</td>\n",
       "      <td>25</td>\n",
       "      <td>3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.33</td>\n",
       "      <td>68.402973</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>100% Natural Bran</td>\n",
       "      <td>Q</td>\n",
       "      <td>C</td>\n",
       "      <td>120</td>\n",
       "      <td>3</td>\n",
       "      <td>5</td>\n",
       "      <td>15</td>\n",
       "      <td>2.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>8</td>\n",
       "      <td>135</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>1.00</td>\n",
       "      <td>33.983679</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>All-Bran</td>\n",
       "      <td>K</td>\n",
       "      <td>C</td>\n",
       "      <td>70</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>260</td>\n",
       "      <td>9.0</td>\n",
       "      <td>7.0</td>\n",
       "      <td>5</td>\n",
       "      <td>320</td>\n",
       "      <td>25</td>\n",
       "      <td>3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.33</td>\n",
       "      <td>59.425505</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>All-Bran with Extra Fiber</td>\n",
       "      <td>K</td>\n",
       "      <td>C</td>\n",
       "      <td>50</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>140</td>\n",
       "      <td>14.0</td>\n",
       "      <td>8.0</td>\n",
       "      <td>0</td>\n",
       "      <td>330</td>\n",
       "      <td>25</td>\n",
       "      <td>3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.50</td>\n",
       "      <td>93.704912</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Almond Delight</td>\n",
       "      <td>R</td>\n",
       "      <td>C</td>\n",
       "      <td>110</td>\n",
       "      <td>2</td>\n",
       "      <td>2</td>\n",
       "      <td>200</td>\n",
       "      <td>1.0</td>\n",
       "      <td>14.0</td>\n",
       "      <td>8</td>\n",
       "      <td>-1</td>\n",
       "      <td>25</td>\n",
       "      <td>3</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.75</td>\n",
       "      <td>34.384843</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                        name mfr type  calories  protein  fat  sodium  fiber  \\\n",
       "0                  100% Bran   N    C        70        4    1     130   10.0   \n",
       "1          100% Natural Bran   Q    C       120        3    5      15    2.0   \n",
       "2                   All-Bran   K    C        70        4    1     260    9.0   \n",
       "3  All-Bran with Extra Fiber   K    C        50        4    0     140   14.0   \n",
       "4             Almond Delight   R    C       110        2    2     200    1.0   \n",
       "\n",
       "   carbo  sugars  potass  vitamins  shelf  weight  cups     rating  \n",
       "0    5.0       6     280        25      3     1.0  0.33  68.402973  \n",
       "1    8.0       8     135         0      3     1.0  1.00  33.983679  \n",
       "2    7.0       5     320        25      3     1.0  0.33  59.425505  \n",
       "3    8.0       0     330        25      3     1.0  0.50  93.704912  \n",
       "4   14.0       8      -1        25      3     1.0  0.75  34.384843  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load main dataset\n",
    "cereals_df = pd.read_csv(f'{data_dir}/cereal.csv', sep=',')\n",
    "cereals_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:28.048764Z",
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     "shell.execute_reply.started": "2023-05-03T11:48:28.048731Z"
    },
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   },
   "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_name</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>letter</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>A</th>\n",
       "      <td>American Home Food Products</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>G</th>\n",
       "      <td>General Mills</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>K</th>\n",
       "      <td>Kelloggs</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>N</th>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>P</th>\n",
       "      <td>Post</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Q</th>\n",
       "      <td>Quaker Oats</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>R</th>\n",
       "      <td>Ralston Purina</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                       company_name\n",
       "letter                             \n",
       "A       American Home Food Products\n",
       "G                     General Mills\n",
       "K                          Kelloggs\n",
       "N                           Nabisco\n",
       "P                              Post\n",
       "Q                       Quaker Oats\n",
       "R                    Ralston Purina"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# load dataset that maps manufacturer letter codes to their names\n",
    "manufacturers_df = pd.read_csv(f'{data_dir}/manufacturers.csv', index_col=0)\n",
    "manufacturers_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
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    "execution": {
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    {
     "data": {
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>mfr</th>\n",
       "      <th>type</th>\n",
       "      <th>calories</th>\n",
       "      <th>protein</th>\n",
       "      <th>fat</th>\n",
       "      <th>sodium</th>\n",
       "      <th>fiber</th>\n",
       "      <th>carbo</th>\n",
       "      <th>sugars</th>\n",
       "      <th>potass</th>\n",
       "      <th>vitamins</th>\n",
       "      <th>shelf</th>\n",
       "      <th>weight</th>\n",
       "      <th>cups</th>\n",
       "      <th>rating</th>\n",
       "      <th>company_name</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>100% Bran</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>70</td>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>130</td>\n",
       "      <td>10.0</td>\n",
       "      <td>5.0</td>\n",
       "      <td>6</td>\n",
       "      <td>280</td>\n",
       "      <td>25</td>\n",
       "      <td>3</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.33</td>\n",
       "      <td>68.402973</td>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>20</th>\n",
       "      <td>Cream of Wheat (Quick)</td>\n",
       "      <td>N</td>\n",
       "      <td>H</td>\n",
       "      <td>100</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>80</td>\n",
       "      <td>1.0</td>\n",
       "      <td>21.0</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.00</td>\n",
       "      <td>64.533816</td>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>63</th>\n",
       "      <td>Shredded Wheat</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>80</td>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>16.0</td>\n",
       "      <td>0</td>\n",
       "      <td>95</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0.83</td>\n",
       "      <td>1.00</td>\n",
       "      <td>68.235885</td>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>64</th>\n",
       "      <td>Shredded Wheat 'n'Bran</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>90</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>4.0</td>\n",
       "      <td>19.0</td>\n",
       "      <td>0</td>\n",
       "      <td>140</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.67</td>\n",
       "      <td>74.472949</td>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>65</th>\n",
       "      <td>Shredded Wheat spoon size</td>\n",
       "      <td>N</td>\n",
       "      <td>C</td>\n",
       "      <td>90</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>3.0</td>\n",
       "      <td>20.0</td>\n",
       "      <td>0</td>\n",
       "      <td>120</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1.00</td>\n",
       "      <td>0.67</td>\n",
       "      <td>72.801787</td>\n",
       "      <td>Nabisco</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         name mfr type  calories  protein  fat  sodium  fiber  \\\n",
       "0                   100% Bran   N    C        70        4    1     130   10.0   \n",
       "20     Cream of Wheat (Quick)   N    H       100        3    0      80    1.0   \n",
       "63             Shredded Wheat   N    C        80        2    0       0    3.0   \n",
       "64     Shredded Wheat 'n'Bran   N    C        90        3    0       0    4.0   \n",
       "65  Shredded Wheat spoon size   N    C        90        3    0       0    3.0   \n",
       "\n",
       "    carbo  sugars  potass  vitamins  shelf  weight  cups     rating  \\\n",
       "0     5.0       6     280        25      3    1.00  0.33  68.402973   \n",
       "20   21.0       0      -1         0      2    1.00  1.00  64.533816   \n",
       "63   16.0       0      95         0      1    0.83  1.00  68.235885   \n",
       "64   19.0       0     140         0      1    1.00  0.67  74.472949   \n",
       "65   20.0       0     120         0      1    1.00  0.67  72.801787   \n",
       "\n",
       "   company_name  \n",
       "0       Nabisco  \n",
       "20      Nabisco  \n",
       "63      Nabisco  \n",
       "64      Nabisco  \n",
       "65      Nabisco  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# merge the two datasets\n",
    "cereals = pd.merge(\n",
    "    cereals_df, manufacturers_df, left_on=cereals_df.mfr, right_index=True\n",
    ")\n",
    "# remove duplicated column\n",
    "cereals.drop('key_0', axis=1, inplace=True)\n",
    "cereals.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Exercises"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 1\n",
    "Plot the **number of products per manufacturer** by displaying the manufacturer's name instead of the letter that appears in the `cereals_df` dataframe. All the data you need is found in the `cereals` DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
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    "sns.set_theme(\n",
    "    rc={'figure.figsize': (8, 5), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "with sns.plotting_context(\"notebook\", font_scale=0.9):\n",
    "    # seaborn's countplot\n",
    "    ax = sns.countplot(\n",
    "        data=cereals[['company_name', 'name']],\n",
    "        y='company_name',\n",
    "        color='dodgerblue' \n",
    "    )\n",
    "\n",
    "    # display the number of products for each company\n",
    "    ax.bar_label(ax.containers[0], size=10)\n",
    "    ax.set_title('Number of products per company')"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 2\n",
    "Plot the **distribution of ratings per company** checking at the same time if there are any **outliers**. You can find the necessary data in the `data` DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
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     "shell.execute_reply.started": "2023-05-03T11:48:28.420879Z"
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   "outputs": [],
   "source": [
    "data = cereals[['company_name', 'rating']]"
   ]
  },
  {
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     "shell.execute_reply.started": "2023-05-03T11:48:28.435996Z"
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      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.set_theme(\n",
    "    rc={'figure.figsize': (10, 6), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    # seaborn's boxplot\n",
    "    ax = sns.boxplot(\n",
    "        data=data,\n",
    "        x='rating',\n",
    "        y='company_name',\n",
    "        color='dodgerblue',\n",
    "    )\n",
    "    \n",
    "    ax.set_title('Cereal rating per company')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this chart, we can see that it is not relevant to compare companies that have very few ratings. For example, here the American Home Food Products has received only 1 rating."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 3\n",
    "Find and visualize the **mean ratings per product**. You will find the necessary data in the `data` DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:28.743013Z",
     "iopub.status.busy": "2023-05-03T11:48:28.742100Z",
     "iopub.status.idle": "2023-05-03T11:48:28.752789Z",
     "shell.execute_reply": "2023-05-03T11:48:28.751809Z",
     "shell.execute_reply.started": "2023-05-03T11:48:28.742967Z"
    }
   },
   "outputs": [],
   "source": [
    "data = cereals[['name', 'rating']].groupby('name').mean().reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2023-05-03T11:48:30.072879Z",
     "shell.execute_reply.started": "2023-05-03T11:48:28.756071Z"
    },
    "tags": []
   },
   "outputs": [
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       "      <!-- Muesli Raisins; Dates; &amp; Almonds -->\n",
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       "      <!-- Just Right Crunchy  Nuggets -->\n",
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       "    </g>\n",
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       "      <!-- Just Right Fruit &amp; Nut -->\n",
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       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_51\">\n",
       "     <g id=\"text_57\">\n",
       "      <!-- Wheaties Honey Gold -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(83.255266 386.108086)scale(0.077 -0.077)\">\n",
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       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_52\">\n",
       "     <g id=\"text_58\">\n",
       "      <!-- Crispy Wheat &amp; Raisins -->\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_53\">\n",
       "     <g id=\"text_59\">\n",
       "      <!-- Corn Pops -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(127.968203 400.508086)scale(0.077 -0.077)\">\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_54\">\n",
       "     <g id=\"text_60\">\n",
       "      <!-- Golden Crisp -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(117.037813 407.708086)scale(0.077 -0.077)\">\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_55\">\n",
       "     <g id=\"text_61\">\n",
       "      <!-- Almond Delight -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(106.823281 414.908086)scale(0.077 -0.077)\">\n",
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       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_56\">\n",
       "     <g id=\"text_62\">\n",
       "      <!-- Muesli Raisins; Peaches; &amp; Pecans -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(35.151922 422.108086)scale(0.077 -0.077)\">\n",
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       "       <use x=\"702.291016\" xlink:href=\"#DejaVuSans-3b\"/>\n",
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       "       <use x=\"824.447266\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"885.970703\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "       <use x=\"947.25\" xlink:href=\"#DejaVuSans-63\"/>\n",
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       "       <use x=\"1127.132812\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "       <use x=\"1179.232422\" xlink:href=\"#DejaVuSans-3b\"/>\n",
       "       <use x=\"1212.923828\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"1244.710938\" xlink:href=\"#DejaVuSans-26\"/>\n",
       "       <use x=\"1322.689453\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"1354.476562\" xlink:href=\"#DejaVuSans-50\"/>\n",
       "       <use x=\"1411.154297\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"1472.677734\" xlink:href=\"#DejaVuSans-63\"/>\n",
       "       <use x=\"1527.658203\" xlink:href=\"#DejaVuSans-61\"/>\n",
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       "       <use x=\"1652.316406\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_57\">\n",
       "     <g id=\"text_63\">\n",
       "      <!-- 100% Natural Bran -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(93.033062 429.308086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-31\"/>\n",
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       "       <use x=\"492.96875\" xlink:href=\"#DejaVuSans-75\"/>\n",
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       "       <use x=\"658.740234\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"686.523438\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"718.310547\" xlink:href=\"#DejaVuSans-42\"/>\n",
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       "       <use x=\"889.306641\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_58\">\n",
       "     <g id=\"text_64\">\n",
       "      <!-- Apple Jacks -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(122.32675 436.508086)scale(0.077 -0.077)\">\n",
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       "       <use x=\"68.408203\" xlink:href=\"#DejaVuSans-70\"/>\n",
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       "       <use x=\"284.667969\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"316.455078\" xlink:href=\"#DejaVuSans-4a\"/>\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_59\">\n",
       "     <g id=\"text_65\">\n",
       "      <!-- Froot Loops -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(122.159516 443.708086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-46\"/>\n",
       "       <use x=\"50.269531\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"89.132812\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"150.314453\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"211.496094\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"250.705078\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"282.492188\" xlink:href=\"#DejaVuSans-4c\"/>\n",
       "       <use x=\"336.455078\" xlink:href=\"#DejaVuSans-6f\"/>\n",
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       "       <use x=\"522.294922\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_60\">\n",
       "     <g id=\"text_66\">\n",
       "      <!-- Frosted Flakes -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(111.496219 450.908086)scale(0.077 -0.077)\">\n",
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       "       <use x=\"366.623047\" xlink:href=\"#DejaVuSans-20\"/>\n",
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       "       <use x=\"544.992188\" xlink:href=\"#DejaVuSans-6b\"/>\n",
       "       <use x=\"599.277344\" xlink:href=\"#DejaVuSans-65\"/>\n",
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       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_61\">\n",
       "     <g id=\"text_67\">\n",
       "      <!-- Smacks -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(136.577766 458.108086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-53\"/>\n",
       "       <use x=\"63.476562\" xlink:href=\"#DejaVuSans-6d\"/>\n",
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       "       <use x=\"277.148438\" xlink:href=\"#DejaVuSans-6b\"/>\n",
       "       <use x=\"335.058594\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_62\">\n",
       "     <g id=\"text_68\">\n",
       "      <!-- Honey Nut Cheerios -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(89.398422 465.308086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"75.195312\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"136.376953\" xlink:href=\"#DejaVuSans-6e\"/>\n",
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       "       <use x=\"320.458984\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"352.246094\" xlink:href=\"#DejaVuSans-4e\"/>\n",
       "       <use x=\"427.050781\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "       <use x=\"490.429688\" xlink:href=\"#DejaVuSans-74\"/>\n",
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       "       <use x=\"631.25\" xlink:href=\"#DejaVuSans-68\"/>\n",
       "       <use x=\"694.628906\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"756.152344\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"817.675781\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"858.789062\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"886.572266\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"947.753906\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_63\">\n",
       "     <g id=\"text_69\">\n",
       "      <!-- Oatmeal Raisin Crisp -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(85.953875 472.508086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-4f\"/>\n",
       "       <use x=\"78.710938\" xlink:href=\"#DejaVuSans-61\"/>\n",
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       "       <use x=\"179.199219\" xlink:href=\"#DejaVuSans-6d\"/>\n",
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       "       <use x=\"399.414062\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"427.197266\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"458.984375\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"526.216797\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "       <use x=\"587.496094\" xlink:href=\"#DejaVuSans-69\"/>\n",
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       "       <use x=\"667.378906\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"695.162109\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"758.541016\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"790.328125\" xlink:href=\"#DejaVuSans-43\"/>\n",
       "       <use x=\"860.152344\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"901.265625\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"929.048828\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "       <use x=\"981.148438\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_64\">\n",
       "     <g id=\"text_70\">\n",
       "      <!-- Mueslix Crispy Blend -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(86.319625 479.708086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-4d\"/>\n",
       "       <use x=\"86.279297\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "       <use x=\"149.658203\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"211.181641\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "       <use x=\"263.28125\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"291.064453\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"318.847656\" xlink:href=\"#DejaVuSans-78\"/>\n",
       "       <use x=\"378.027344\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"409.814453\" xlink:href=\"#DejaVuSans-43\"/>\n",
       "       <use x=\"479.638672\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"520.751953\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"548.535156\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "       <use x=\"600.634766\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "       <use x=\"664.111328\" xlink:href=\"#DejaVuSans-79\"/>\n",
       "       <use x=\"723.291016\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"755.078125\" xlink:href=\"#DejaVuSans-42\"/>\n",
       "       <use x=\"823.681641\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"851.464844\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"912.988281\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"976.367188\" xlink:href=\"#DejaVuSans-64\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_65\">\n",
       "     <g id=\"text_71\">\n",
       "      <!-- Nut&amp;Honey Crunch -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(92.184859 486.908086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-4e\"/>\n",
       "       <use x=\"74.804688\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "       <use x=\"138.183594\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"177.392578\" xlink:href=\"#DejaVuSans-26\"/>\n",
       "       <use x=\"255.371094\" xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"330.566406\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"391.748047\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"455.126953\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"516.650391\" xlink:href=\"#DejaVuSans-79\"/>\n",
       "       <use x=\"575.830078\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"607.617188\" xlink:href=\"#DejaVuSans-43\"/>\n",
       "       <use x=\"677.441406\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"718.554688\" xlink:href=\"#DejaVuSans-75\"/>\n",
       "       <use x=\"781.933594\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"845.3125\" xlink:href=\"#DejaVuSans-63\"/>\n",
       "       <use x=\"900.292969\" xlink:href=\"#DejaVuSans-68\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_66\">\n",
       "     <g id=\"text_72\">\n",
       "      <!-- Apple Cinnamon Cheerios -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(66.727937 494.108086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-41\"/>\n",
       "       <use x=\"68.408203\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "       <use x=\"131.884766\" xlink:href=\"#DejaVuSans-70\"/>\n",
       "       <use x=\"195.361328\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"223.144531\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"284.667969\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"316.455078\" xlink:href=\"#DejaVuSans-43\"/>\n",
       "       <use x=\"386.279297\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"414.0625\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"477.441406\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"540.820312\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "       <use x=\"602.099609\" xlink:href=\"#DejaVuSans-6d\"/>\n",
       "       <use x=\"699.511719\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"760.693359\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"824.072266\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"855.859375\" xlink:href=\"#DejaVuSans-43\"/>\n",
       "       <use x=\"925.683594\" xlink:href=\"#DejaVuSans-68\"/>\n",
       "       <use x=\"989.0625\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"1050.585938\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"1112.109375\" xlink:href=\"#DejaVuSans-72\"/>\n",
       "       <use x=\"1153.222656\" xlink:href=\"#DejaVuSans-69\"/>\n",
       "       <use x=\"1181.005859\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"1242.1875\" xlink:href=\"#DejaVuSans-73\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_67\">\n",
       "     <g id=\"text_73\">\n",
       "      <!-- Honey-comb -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(117.734422 501.308086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-48\"/>\n",
       "       <use x=\"75.195312\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"136.376953\" xlink:href=\"#DejaVuSans-6e\"/>\n",
       "       <use x=\"199.755859\" xlink:href=\"#DejaVuSans-65\"/>\n",
       "       <use x=\"261.279297\" xlink:href=\"#DejaVuSans-79\"/>\n",
       "       <use x=\"318.708984\" xlink:href=\"#DejaVuSans-2d\"/>\n",
       "       <use x=\"354.792969\" xlink:href=\"#DejaVuSans-63\"/>\n",
       "       <use x=\"409.773438\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"470.955078\" xlink:href=\"#DejaVuSans-6d\"/>\n",
       "       <use x=\"568.367188\" xlink:href=\"#DejaVuSans-62\"/>\n",
       "      </g>\n",
       "     </g>\n",
       "    </g>\n",
       "    <g id=\"ytick_68\">\n",
       "     <g id=\"text_74\">\n",
       "      <!-- Total Raisin Bran -->\n",
       "      <g style=\"fill:#262626;\" transform=\"translate(102.400594 508.508086)scale(0.077 -0.077)\">\n",
       "       <use xlink:href=\"#DejaVuSans-54\"/>\n",
       "       <use x=\"44.083984\" xlink:href=\"#DejaVuSans-6f\"/>\n",
       "       <use x=\"105.265625\" xlink:href=\"#DejaVuSans-74\"/>\n",
       "       <use x=\"144.474609\" xlink:href=\"#DejaVuSans-61\"/>\n",
       "       <use x=\"205.753906\" xlink:href=\"#DejaVuSans-6c\"/>\n",
       "       <use x=\"233.537109\" xlink:href=\"#DejaVuSans-20\"/>\n",
       "       <use x=\"265.324219\" xlink:href=\"#DejaVuSans-52\"/>\n",
       "       <use x=\"332.556641\" xlink:href=\"#DejaVuSans-61\"/>\n",
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   "source": [
    "sns.set_theme(\n",
    "    rc={'figure.figsize': (7, 10), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "with sns.plotting_context(\"notebook\", font_scale=0.7):\n",
    "    # seaborn's countplot\n",
    "    ax = sns.barplot(\n",
    "        data=data,\n",
    "        y='name',\n",
    "        x='rating',\n",
    "        order=data.sort_values('rating', ascending=False).name,\n",
    "        color='dodgerblue'\n",
    "    )\n",
    "    ax.set_title('Average rating per product')"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 4\n",
    "Find if there is a **correlation between any of the numerical features** we have in the dataset. Again, you will find the data needed in the `data` DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:30.075508Z",
     "iopub.status.busy": "2023-05-03T11:48:30.074769Z",
     "iopub.status.idle": "2023-05-03T11:48:30.083462Z",
     "shell.execute_reply": "2023-05-03T11:48:30.082157Z",
     "shell.execute_reply.started": "2023-05-03T11:48:30.075474Z"
    },
    "tags": []
   },
   "outputs": [],
   "source": [
    "data = cereals[['calories', 'protein', 'fat', 'sodium', 'fiber', 'carbo', 'sugars', 'potass', 'rating']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
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     "iopub.status.idle": "2023-05-03T11:48:43.266752Z",
     "shell.execute_reply": "2023-05-03T11:48:43.265724Z",
     "shell.execute_reply.started": "2023-05-03T11:48:30.085593Z"
    },
    "tags": []
   },
   "outputs": [
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      "text/plain": [
       "<Figure size 1080x1080 with 90 Axes>"
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   ],
   "source": [
    "sns.set_theme(\n",
    "    rc={'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=0.8): \n",
    "    sns.pairplot(\n",
    "        data, kind=\"scatter\", palette=\"Set2\", \n",
    "        height=1.2, plot_kws={\"s\": 15},\n",
    "        diag_kind='kde'\n",
    "    )"
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see from the plots, the features are mostly not correlated. There is a somewhat weak negative correlation between the amount of sugar and rating, a weak positive correlation between the amount of fiber and potassium and a somewhat weak negative correlation between calories and rating."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 5\n",
    "Your next task is to find and visualize these correlations in a more **quantitative** way. The data will be ready for you in the `data` DataFrame, you will only have to find the correct visualization method and supply the correct arguments to the function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:43.269086Z",
     "iopub.status.busy": "2023-05-03T11:48:43.268482Z",
     "iopub.status.idle": "2023-05-03T11:48:43.276425Z",
     "shell.execute_reply": "2023-05-03T11:48:43.274946Z",
     "shell.execute_reply.started": "2023-05-03T11:48:43.269040Z"
    }
   },
   "outputs": [],
   "source": [
    "data = cereals[['fiber', 'potass', 'sugars', 'calories','rating']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:43.278890Z",
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     "iopub.status.idle": "2023-05-03T11:48:43.808571Z",
     "shell.execute_reply": "2023-05-03T11:48:43.807202Z",
     "shell.execute_reply.started": "2023-05-03T11:48:43.278837Z"
    },
    "tags": []
   },
   "outputs": [
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      "text/plain": [
       "<Figure size 600x800 with 2 Axes>"
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     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "sns.set_theme(\n",
    "    rc={'figure.figsize':(6, 8), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    correlation_matrix = data.corr()\n",
    "    ax = sns.heatmap(\n",
    "        data=correlation_matrix,\n",
    "        cmap='Blues',\n",
    "        annot=True,\n",
    "        square=True\n",
    "    )\n",
    "    ax.set_xticklabels(\n",
    "        ax.get_xticklabels(),\n",
    "        rotation=15,\n",
    "        horizontalalignment='right'\n",
    "    )\n",
    "    ax.set_yticklabels(\n",
    "        ax.get_yticklabels(),\n",
    "        rotation=0,\n",
    "    )\n",
    "    ax.set_title('Correlation matrix')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:43.811708Z",
     "iopub.status.busy": "2023-05-03T11:48:43.810762Z",
     "iopub.status.idle": "2023-05-03T11:48:44.207532Z",
     "shell.execute_reply": "2023-05-03T11:48:44.206429Z",
     "shell.execute_reply.started": "2023-05-03T11:48:43.811630Z"
    }
   },
   "outputs": [
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    "# here you can find an alternative solution with a diagonal correlation matrix\n",
    "\n",
    "sns.set(\n",
    "    rc={'figure.figsize':(6, 8), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    correlation_matrix = data.corr()\n",
    "    # Generate a mask to cover the upper triangle\n",
    "    mask = np.triu(np.ones_like(correlation_matrix, dtype=bool))\n",
    "    ax = sns.heatmap(\n",
    "        data=correlation_matrix,\n",
    "        cmap='Blues',\n",
    "        annot=True,\n",
    "        square=True,\n",
    "        mask=mask\n",
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    "    ax.set_xticklabels(\n",
    "        ax.get_xticklabels(),\n",
    "        rotation=15,\n",
    "        horizontalalignment='right'\n",
    "    )\n",
    "    ax.set_yticklabels(\n",
    "        ax.get_yticklabels(),\n",
    "        rotation=0,\n",
    "    )\n",
    "    ax.set_title('Correlation matrix')"
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  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 6\n",
    "Using a scatterplot, plot the **potassium amount changes w.r.t. the fiber amount and the rating**. Notice that this requires you to plot three numerical variables at the same time. The data to be used is ready for you in the `data` DataFrame."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:44.209863Z",
     "iopub.status.busy": "2023-05-03T11:48:44.208960Z",
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     "shell.execute_reply": "2023-05-03T11:48:44.216051Z",
     "shell.execute_reply.started": "2023-05-03T11:48:44.209820Z"
    }
   },
   "outputs": [],
   "source": [
    "data = cereals[['potass', 'fiber', 'rating']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2023-05-03T11:48:44.661751Z",
     "shell.execute_reply.started": "2023-05-03T11:48:44.220343Z"
    },
    "tags": []
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       "<Figure size 800x600 with 2 Axes>"
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   "source": [
    "sns.set(\n",
    "    rc={'figure.figsize':(8, 6), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    sc = ax.scatter(\n",
    "        data.fiber, data.potass, c=data.rating, \n",
    "        alpha=0.8, cmap=\"coolwarm\", s=75\n",
    "    )\n",
    "    ax.set_xlabel('Fiber')\n",
    "    ax.set_ylabel('Potassium')\n",
    "    \n",
    "    cbar = fig.colorbar(sc)\n",
    "    cbar.set_label(\"Rating\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Exercise 7\n",
    "Using a scatterplot, plot **the potassium amount w.r.t. to the fiber amount, the sugar amount and the rating**. Notice that this will required you to find a visualization allowing to display four variables at once. The data to be used is ready for you in the `data` DataFrame. \n",
    "\n",
    "You might find some useful information [here](https://matplotlib.org/stable/gallery/lines_bars_and_markers/scatter_with_legend.html#sphx-glr-gallery-lines-bars-and-markers-scatter-with-legend-py) and [here](https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.scatter.html#matplotlib.pyplot.scatter)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:44.668261Z",
     "iopub.status.busy": "2023-05-03T11:48:44.666290Z",
     "iopub.status.idle": "2023-05-03T11:48:44.675515Z",
     "shell.execute_reply": "2023-05-03T11:48:44.673941Z",
     "shell.execute_reply.started": "2023-05-03T11:48:44.668212Z"
    }
   },
   "outputs": [],
   "source": [
    "data = cereals[['potass', 'fiber', 'sugars', 'rating']]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2023-05-03T11:48:45.451983Z",
     "shell.execute_reply.started": "2023-05-03T11:48:44.677864Z"
    },
    "tags": []
   },
   "outputs": [
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     "metadata": {},
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   ],
   "source": [
    "# write your code here\n",
    "sns.set_theme(\n",
    "    rc={'figure.figsize':(8, 6), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    fig, ax = plt.subplots()\n",
    "\n",
    "    # multiply the amount of sugar by 15 two make it more obvious from the chart\n",
    "    sc = ax.scatter(\n",
    "        data.fiber, data.potass, s=15*data.sugars, c=data.rating, \n",
    "        alpha=0.8, cmap=\"coolwarm\"\n",
    "    )\n",
    "    ax.set_xlabel('Fiber')\n",
    "    ax.set_ylabel('Potassium')\n",
    "    cbar = fig.colorbar(sc)\n",
    "    cbar.set_label(\"Rating\")\n",
    "\n",
    "    # these two lines are used to determine the position of the legend\n",
    "    handles, labels = sc.legend_elements(prop=\"sizes\", alpha=0.6)\n",
    "    legend2 = ax.legend(\n",
    "        handles, labels, loc=\"upper left\", title=\"Sugar amount\", \n",
    "        bbox_to_anchor=(1.25, 1), borderaxespad=0\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-05-03T11:48:45.455469Z",
     "iopub.status.busy": "2023-05-03T11:48:45.454606Z",
     "iopub.status.idle": "2023-05-03T11:48:45.977212Z",
     "shell.execute_reply": "2023-05-03T11:48:45.976265Z",
     "shell.execute_reply.started": "2023-05-03T11:48:45.455426Z"
    },
    "tags": []
   },
   "outputs": [
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   "source": [
    "# an alternative solution with seaborn\n",
    "sns.set_theme(\n",
    "    rc={'figure.figsize':(6, 6), 'font.family': [FONT_FAMILY]}, \n",
    "    style='white'\n",
    ")\n",
    "\n",
    "with sns.plotting_context(\"notebook\", font_scale=FONT_SCALE):\n",
    "    ax = sns.scatterplot(\n",
    "        data=data, x=\"fiber\", y=\"potass\", \n",
    "        hue=\"rating\", size=\"sugars\", sizes=(20,200)\n",
    "    )\n",
    "    ax.set_xlabel('Fiber')\n",
    "    ax.set_ylabel('Potassium')\n",
    "    # this line here is for determining the position of the legend\n",
    "    plt.legend(bbox_to_anchor=(1.02, 0.925), loc='upper left', borderaxespad=0)"
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   "source": [
    "## Conclusion\n",
    "\n",
    "Through a combination of different plotting techniques, we were able to visually identify several interesting properties of this dataset. We found out which are the highest-rated cereal brands and how the ratings compare between different cereal manufacturers. We also looked into correlations between cereal contents and assigned ratings and found that fiber (and, to a smaller extent, potassium) positively correlate with the rating. Conversly, sugar contents seemed to inversly correlate with the cereal rating - a somewhat surprising finding, which you may want to pursue further! If you are interested, here are some additional questions you could try to answer using this dataset (either by applying more/different kinds of visualizations, simply wrangling the DataFrame itself or by doing some literature search):\n",
    "- is the correlation between fiber and potassium content known? are these two linked? if yes, how?\n",
    "- for any of the found correlations - how significant are they? \n",
    "- in the last figure you can see a point in the top-right corner which has the highest amount of fiber and potassium, but also a very high rating and a rather low sugar content - can you find out which cereal brand it was?\n",
    "- for the same point, can you find out how many ratings it got compared to others? is it even significant?\n",
    "\n",
    "**Thank you for sticking around until the end of the book!**"
   ]
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