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+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "6b626a1e",
+   "metadata": {},
+   "source": [
+    "## Lab - EDA Bivariate Analysis: Diving into Amazon UK Product Insights Part II\n",
+    "\n",
+    "**Objective**: Delve into the dynamics of product pricing on Amazon UK to uncover insights that can inform business strategies and decision-making.\n",
+    "\n",
+    "**Dataset**: This lab utilizes the [Amazon UK product dataset](https://www.kaggle.com/datasets/asaniczka/uk-optimal-product-price-prediction/)\n",
+    "which provides information on product categories, brands, prices, ratings, and more from from Amazon UK. You'll need to download it to start working with it."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "209337fa",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import pandas as pd\n",
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "import seaborn as sns"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "14e0f507",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "df = pd.read_csv(\"/Users/laxmigupte/Desktop/Ironhack/week2/D4/amz_uk_price_prediction_dataset 13.40.08.csv\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "09a9066c",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<div>\n",
+       "<style scoped>\n",
+       "    .dataframe tbody tr th:only-of-type {\n",
+       "        vertical-align: middle;\n",
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+       "\n",
+       "    .dataframe tbody tr th {\n",
+       "        vertical-align: top;\n",
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+       "\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>uid</th>\n",
+       "      <th>asin</th>\n",
+       "      <th>title</th>\n",
+       "      <th>stars</th>\n",
+       "      <th>reviews</th>\n",
+       "      <th>price</th>\n",
+       "      <th>isBestSeller</th>\n",
+       "      <th>boughtInLastMonth</th>\n",
+       "      <th>category</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>B09B96TG33</td>\n",
+       "      <td>Echo Dot (5th generation, 2022 release) | Big ...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>15308</td>\n",
+       "      <td>21.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2</td>\n",
+       "      <td>B01HTH3C8S</td>\n",
+       "      <td>Anker Soundcore mini, Super-Portable Bluetooth...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>98099</td>\n",
+       "      <td>23.99</td>\n",
+       "      <td>True</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>3</td>\n",
+       "      <td>B09B8YWXDF</td>\n",
+       "      <td>Echo Dot (5th generation, 2022 release) | Big ...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>15308</td>\n",
+       "      <td>21.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>4</td>\n",
+       "      <td>B09B8T5VGV</td>\n",
+       "      <td>Echo Dot with clock (5th generation, 2022 rele...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>7205</td>\n",
+       "      <td>31.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5</td>\n",
+       "      <td>B09WX6QD65</td>\n",
+       "      <td>Introducing Echo Pop | Full sound compact Wi-F...</td>\n",
+       "      <td>4.6</td>\n",
+       "      <td>1881</td>\n",
+       "      <td>17.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443646</th>\n",
+       "      <td>2828589</td>\n",
+       "      <td>B0CHSD7P2Q</td>\n",
+       "      <td>Motorbike Armour, Motorbike Clothing, Cycling ...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>22.34</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443647</th>\n",
+       "      <td>2828590</td>\n",
+       "      <td>B0B7B8FNBQ</td>\n",
+       "      <td>PROFIRST Waterproof Motorcycle 2 Piece Ladies ...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>97.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443648</th>\n",
+       "      <td>2828591</td>\n",
+       "      <td>B0BD5FL5FB</td>\n",
+       "      <td>Men’s Motorcycle Motorbike Biker Trousers Kevl...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>52.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443649</th>\n",
+       "      <td>2828592</td>\n",
+       "      <td>B008OYLL4I</td>\n",
+       "      <td>Texpeed Mens Motorcycle Motorbike Biker Trouse...</td>\n",
+       "      <td>4.3</td>\n",
+       "      <td>404</td>\n",
+       "      <td>79.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443650</th>\n",
+       "      <td>2828593</td>\n",
+       "      <td>B08P3W9B3T</td>\n",
+       "      <td>RIDEX CJ223 Motorcycle Motorbike Jacket Armour...</td>\n",
+       "      <td>4.5</td>\n",
+       "      <td>34</td>\n",
+       "      <td>53.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>2443651 rows × 9 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "             uid        asin  \\\n",
+       "0              1  B09B96TG33   \n",
+       "1              2  B01HTH3C8S   \n",
+       "2              3  B09B8YWXDF   \n",
+       "3              4  B09B8T5VGV   \n",
+       "4              5  B09WX6QD65   \n",
+       "...          ...         ...   \n",
+       "2443646  2828589  B0CHSD7P2Q   \n",
+       "2443647  2828590  B0B7B8FNBQ   \n",
+       "2443648  2828591  B0BD5FL5FB   \n",
+       "2443649  2828592  B008OYLL4I   \n",
+       "2443650  2828593  B08P3W9B3T   \n",
+       "\n",
+       "                                                     title  stars  reviews  \\\n",
+       "0        Echo Dot (5th generation, 2022 release) | Big ...    4.7    15308   \n",
+       "1        Anker Soundcore mini, Super-Portable Bluetooth...    4.7    98099   \n",
+       "2        Echo Dot (5th generation, 2022 release) | Big ...    4.7    15308   \n",
+       "3        Echo Dot with clock (5th generation, 2022 rele...    4.7     7205   \n",
+       "4        Introducing Echo Pop | Full sound compact Wi-F...    4.6     1881   \n",
+       "...                                                    ...    ...      ...   \n",
+       "2443646  Motorbike Armour, Motorbike Clothing, Cycling ...    0.0        0   \n",
+       "2443647  PROFIRST Waterproof Motorcycle 2 Piece Ladies ...    0.0        0   \n",
+       "2443648  Men’s Motorcycle Motorbike Biker Trousers Kevl...    0.0        0   \n",
+       "2443649  Texpeed Mens Motorcycle Motorbike Biker Trouse...    4.3      404   \n",
+       "2443650  RIDEX CJ223 Motorcycle Motorbike Jacket Armour...    4.5       34   \n",
+       "\n",
+       "         price  isBestSeller  boughtInLastMonth            category  \n",
+       "0        21.99         False                  0      Hi-Fi Speakers  \n",
+       "1        23.99          True                  0      Hi-Fi Speakers  \n",
+       "2        21.99         False                  0      Hi-Fi Speakers  \n",
+       "3        31.99         False                  0      Hi-Fi Speakers  \n",
+       "4        17.99         False                  0      Hi-Fi Speakers  \n",
+       "...        ...           ...                ...                 ...  \n",
+       "2443646  22.34         False                  0  Motorbike Clothing  \n",
+       "2443647  97.99         False                  0  Motorbike Clothing  \n",
+       "2443648  52.99         False                  0  Motorbike Clothing  \n",
+       "2443649  79.99         False                  0  Motorbike Clothing  \n",
+       "2443650  53.99         False                  0  Motorbike Clothing  \n",
+       "\n",
+       "[2443651 rows x 9 columns]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "82e511e3",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "<class 'pandas.core.frame.DataFrame'>\n",
+      "RangeIndex: 2443651 entries, 0 to 2443650\n",
+      "Data columns (total 9 columns):\n",
+      " #   Column             Dtype  \n",
+      "---  ------             -----  \n",
+      " 0   uid                int64  \n",
+      " 1   asin               object \n",
+      " 2   title              object \n",
+      " 3   stars              float64\n",
+      " 4   reviews            int64  \n",
+      " 5   price              float64\n",
+      " 6   isBestSeller       bool   \n",
+      " 7   boughtInLastMonth  int64  \n",
+      " 8   category           object \n",
+      "dtypes: bool(1), float64(2), int64(3), object(3)\n",
+      "memory usage: 151.5+ MB\n"
+     ]
+    }
+   ],
+   "source": [
+    "df.info()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "f0389202",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(2443651, 9)"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.shape"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "0050c120",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "uid                    int64\n",
+       "asin                  object\n",
+       "title                 object\n",
+       "stars                float64\n",
+       "reviews                int64\n",
+       "price                float64\n",
+       "isBestSeller            bool\n",
+       "boughtInLastMonth      int64\n",
+       "category              object\n",
+       "dtype: object"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.dtypes"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "b73c56d2",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df.duplicated().sum()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "aed9d83f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "num = df.select_dtypes(include=\"number\")\n",
+    "cat = df.select_dtypes(exclude=\"number\")"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "c23ae819",
+   "metadata": {},
+   "source": [
+    "### Part 1: Analyzing Best-Seller Trends Across Product Categories\n",
+    "\n",
+    "**Objective**: Understand the relationship between product categories and their best-seller status.\n",
+    "\n",
+    "1. **Crosstab Analysis**:\n",
+    "    - Create a crosstab between the product `category` and the `isBestSeller` status.\n",
+    "    \n",
+    "    - Are there categories where being a best-seller is more prevalent? \n",
+    "    \t\n",
+    "    \t*Hint: one option is to calculate the proportion of best-sellers for each category and then sort the categories based on this proportion in descending order.*"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 61,
+   "id": "d121d265",
+   "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>isBestSeller</th>\n",
+       "      <th>False</th>\n",
+       "      <th>True</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>category</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>3D Printers</th>\n",
+       "      <td>247</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3D Printing &amp; Scanning</th>\n",
+       "      <td>4065</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Abrasive &amp; Finishing Products</th>\n",
+       "      <td>245</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Action Cameras</th>\n",
+       "      <td>1696</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Adapters</th>\n",
+       "      <td>251</td>\n",
+       "      <td>3</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Agricultural Equipment &amp; Supplies</th>\n",
+       "      <td>8421</td>\n",
+       "      <td>109</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Alexa Built-In Devices</th>\n",
+       "      <td>106</td>\n",
+       "      <td>1</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Art &amp; Craft Supplies</th>\n",
+       "      <td>253</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Arts &amp; Crafts</th>\n",
+       "      <td>9319</td>\n",
+       "      <td>230</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby</th>\n",
+       "      <td>14709</td>\n",
+       "      <td>341</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby &amp; Toddler Toys</th>\n",
+       "      <td>9332</td>\n",
+       "      <td>24</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bakeware</th>\n",
+       "      <td>233</td>\n",
+       "      <td>6</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Ballet &amp; Dancing Footwear</th>\n",
+       "      <td>3238</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Barebone PCs</th>\n",
+       "      <td>9478</td>\n",
+       "      <td>0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Basketball Footwear</th>\n",
+       "      <td>6710</td>\n",
+       "      <td>0</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bass Guitars &amp; Gear</th>\n",
+       "      <td>523</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bath &amp; Body</th>\n",
+       "      <td>19059</td>\n",
+       "      <td>33</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Furniture</th>\n",
+       "      <td>2766</td>\n",
+       "      <td>15</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Lighting</th>\n",
+       "      <td>252</td>\n",
+       "      <td>2</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Linen</th>\n",
+       "      <td>401</td>\n",
+       "      <td>5</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "isBestSeller                       False  True \n",
+       "category                                       \n",
+       "3D Printers                          247      1\n",
+       "3D Printing & Scanning              4065      2\n",
+       "Abrasive & Finishing Products        245      5\n",
+       "Action Cameras                      1696      1\n",
+       "Adapters                             251      3\n",
+       "Agricultural Equipment & Supplies   8421    109\n",
+       "Alexa Built-In Devices               106      1\n",
+       "Art & Craft Supplies                 253      5\n",
+       "Arts & Crafts                       9319    230\n",
+       "Baby                               14709    341\n",
+       "Baby & Toddler Toys                 9332     24\n",
+       "Bakeware                             233      6\n",
+       "Ballet & Dancing Footwear           3238      2\n",
+       "Barebone PCs                        9478      0\n",
+       "Basketball Footwear                 6710      0\n",
+       "Bass Guitars & Gear                  523      5\n",
+       "Bath & Body                        19059     33\n",
+       "Bathroom Furniture                  2766     15\n",
+       "Bathroom Lighting                    252      2\n",
+       "Bathroom Linen                       401      5"
+      ]
+     },
+     "execution_count": 61,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "crosstab_result2 = pd.crosstab(cat['category'], cat['isBestSeller']).head(20)\n",
+    "crosstab_result2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 62,
+   "id": "7ffd263f",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "crosstab_result2['proportion'] = crosstab_result2[True] / crosstab_result2.sum(axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 66,
+   "id": "b5cad4f7",
+   "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>isBestSeller</th>\n",
+       "      <th>False</th>\n",
+       "      <th>True</th>\n",
+       "      <th>proportion</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>category</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>Bakeware</th>\n",
+       "      <td>233</td>\n",
+       "      <td>6</td>\n",
+       "      <td>0.025105</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Arts &amp; Crafts</th>\n",
+       "      <td>9319</td>\n",
+       "      <td>230</td>\n",
+       "      <td>0.024086</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby</th>\n",
+       "      <td>14709</td>\n",
+       "      <td>341</td>\n",
+       "      <td>0.022658</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Abrasive &amp; Finishing Products</th>\n",
+       "      <td>245</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.020000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Art &amp; Craft Supplies</th>\n",
+       "      <td>253</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.019380</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Agricultural Equipment &amp; Supplies</th>\n",
+       "      <td>8421</td>\n",
+       "      <td>109</td>\n",
+       "      <td>0.012778</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Linen</th>\n",
+       "      <td>401</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.012315</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Adapters</th>\n",
+       "      <td>251</td>\n",
+       "      <td>3</td>\n",
+       "      <td>0.011811</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bass Guitars &amp; Gear</th>\n",
+       "      <td>523</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.009470</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Alexa Built-In Devices</th>\n",
+       "      <td>106</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.009346</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Lighting</th>\n",
+       "      <td>252</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.007874</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Furniture</th>\n",
+       "      <td>2766</td>\n",
+       "      <td>15</td>\n",
+       "      <td>0.005394</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3D Printers</th>\n",
+       "      <td>247</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.004032</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby &amp; Toddler Toys</th>\n",
+       "      <td>9332</td>\n",
+       "      <td>24</td>\n",
+       "      <td>0.002565</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bath &amp; Body</th>\n",
+       "      <td>19059</td>\n",
+       "      <td>33</td>\n",
+       "      <td>0.001728</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Ballet &amp; Dancing Footwear</th>\n",
+       "      <td>3238</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.000617</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Action Cameras</th>\n",
+       "      <td>1696</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.000589</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3D Printing &amp; Scanning</th>\n",
+       "      <td>4065</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.000492</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Barebone PCs</th>\n",
+       "      <td>9478</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Basketball Footwear</th>\n",
+       "      <td>6710</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "isBestSeller                       False  True  proportion\n",
+       "category                                                  \n",
+       "Bakeware                             233     6    0.025105\n",
+       "Arts & Crafts                       9319   230    0.024086\n",
+       "Baby                               14709   341    0.022658\n",
+       "Abrasive & Finishing Products        245     5    0.020000\n",
+       "Art & Craft Supplies                 253     5    0.019380\n",
+       "Agricultural Equipment & Supplies   8421   109    0.012778\n",
+       "Bathroom Linen                       401     5    0.012315\n",
+       "Adapters                             251     3    0.011811\n",
+       "Bass Guitars & Gear                  523     5    0.009470\n",
+       "Alexa Built-In Devices               106     1    0.009346\n",
+       "Bathroom Lighting                    252     2    0.007874\n",
+       "Bathroom Furniture                  2766    15    0.005394\n",
+       "3D Printers                          247     1    0.004032\n",
+       "Baby & Toddler Toys                 9332    24    0.002565\n",
+       "Bath & Body                        19059    33    0.001728\n",
+       "Ballet & Dancing Footwear           3238     2    0.000617\n",
+       "Action Cameras                      1696     1    0.000589\n",
+       "3D Printing & Scanning              4065     2    0.000492\n",
+       "Barebone PCs                        9478     0    0.000000\n",
+       "Basketball Footwear                 6710     0    0.000000"
+      ]
+     },
+     "execution_count": 66,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "sorted_best_sellers = crosstab_result2.sort_values(by='proportion', ascending=False).head(20)\n",
+    "sorted_best_sellers"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "ed171de8",
+   "metadata": {},
+   "source": [
+    "The category 'Grocery' is more prevalent for being a best-seller"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "e6b3d0f7",
+   "metadata": {},
+   "source": [
+    "2. **Statistical Tests**:\n",
+    "    - Conduct a Chi-square test to determine if the best-seller distribution is independent of the product category.\n",
+    "    - Compute Cramér's V to understand the strength of association between best-seller status and category.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 67,
+   "id": "7d869500",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from scipy.stats import chi2_contingency"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 68,
+   "id": "d999a94a",
+   "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>isBestSeller</th>\n",
+       "      <th>False</th>\n",
+       "      <th>True</th>\n",
+       "      <th>proportion</th>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>category</th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "      <th></th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>3D Printers</th>\n",
+       "      <td>247</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.004032</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3D Printing &amp; Scanning</th>\n",
+       "      <td>4065</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.000492</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Abrasive &amp; Finishing Products</th>\n",
+       "      <td>245</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.020000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Action Cameras</th>\n",
+       "      <td>1696</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.000589</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Adapters</th>\n",
+       "      <td>251</td>\n",
+       "      <td>3</td>\n",
+       "      <td>0.011811</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Agricultural Equipment &amp; Supplies</th>\n",
+       "      <td>8421</td>\n",
+       "      <td>109</td>\n",
+       "      <td>0.012778</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Alexa Built-In Devices</th>\n",
+       "      <td>106</td>\n",
+       "      <td>1</td>\n",
+       "      <td>0.009346</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Art &amp; Craft Supplies</th>\n",
+       "      <td>253</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.019380</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Arts &amp; Crafts</th>\n",
+       "      <td>9319</td>\n",
+       "      <td>230</td>\n",
+       "      <td>0.024086</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby</th>\n",
+       "      <td>14709</td>\n",
+       "      <td>341</td>\n",
+       "      <td>0.022658</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Baby &amp; Toddler Toys</th>\n",
+       "      <td>9332</td>\n",
+       "      <td>24</td>\n",
+       "      <td>0.002565</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bakeware</th>\n",
+       "      <td>233</td>\n",
+       "      <td>6</td>\n",
+       "      <td>0.025105</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Ballet &amp; Dancing Footwear</th>\n",
+       "      <td>3238</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.000617</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Barebone PCs</th>\n",
+       "      <td>9478</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Basketball Footwear</th>\n",
+       "      <td>6710</td>\n",
+       "      <td>0</td>\n",
+       "      <td>0.000000</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bass Guitars &amp; Gear</th>\n",
+       "      <td>523</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.009470</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bath &amp; Body</th>\n",
+       "      <td>19059</td>\n",
+       "      <td>33</td>\n",
+       "      <td>0.001728</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Furniture</th>\n",
+       "      <td>2766</td>\n",
+       "      <td>15</td>\n",
+       "      <td>0.005394</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Lighting</th>\n",
+       "      <td>252</td>\n",
+       "      <td>2</td>\n",
+       "      <td>0.007874</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>Bathroom Linen</th>\n",
+       "      <td>401</td>\n",
+       "      <td>5</td>\n",
+       "      <td>0.012315</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "isBestSeller                       False  True  proportion\n",
+       "category                                                  \n",
+       "3D Printers                          247     1    0.004032\n",
+       "3D Printing & Scanning              4065     2    0.000492\n",
+       "Abrasive & Finishing Products        245     5    0.020000\n",
+       "Action Cameras                      1696     1    0.000589\n",
+       "Adapters                             251     3    0.011811\n",
+       "Agricultural Equipment & Supplies   8421   109    0.012778\n",
+       "Alexa Built-In Devices               106     1    0.009346\n",
+       "Art & Craft Supplies                 253     5    0.019380\n",
+       "Arts & Crafts                       9319   230    0.024086\n",
+       "Baby                               14709   341    0.022658\n",
+       "Baby & Toddler Toys                 9332    24    0.002565\n",
+       "Bakeware                             233     6    0.025105\n",
+       "Ballet & Dancing Footwear           3238     2    0.000617\n",
+       "Barebone PCs                        9478     0    0.000000\n",
+       "Basketball Footwear                 6710     0    0.000000\n",
+       "Bass Guitars & Gear                  523     5    0.009470\n",
+       "Bath & Body                        19059    33    0.001728\n",
+       "Bathroom Furniture                  2766    15    0.005394\n",
+       "Bathroom Lighting                    252     2    0.007874\n",
+       "Bathroom Linen                       401     5    0.012315"
+      ]
+     },
+     "execution_count": 68,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "crosstab_result2"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 69,
+   "id": "201ca37b",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# Chi-square test for 'isBestSeller' and 'category'\n",
+    "_, chi2_pvalue, _, _  = chi2_contingency(crosstab_result2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 70,
+   "id": "613148b3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "numpy.float64"
+      ]
+     },
+     "execution_count": 70,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "type(chi2_pvalue)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 71,
+   "id": "8d95e2b1",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "2.4165338493997677e-188"
+      ]
+     },
+     "execution_count": 71,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "float(chi2_pvalue)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 49,
+   "id": "ed028264",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 49,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "float(chi2_pvalue) <0.05\n",
+    "# If the p value is smaller than 0.05 (or alpha) we do have a correlation between 2 categorical variables\n",
+    "# Else, nothigness"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "3b48d3fe",
+   "metadata": {},
+   "source": [
+    "A Chi-square test to determines the best-seller distribution is not independent of the product category. THERE IS CORRELATION BETWEEN THEM."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 72,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "from scipy.stats.contingency import association"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 74,
+   "id": "616cc9d5",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "counts_only = crosstab_result2.drop(columns=['proportion'])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 75,
+   "id": "54a6d480",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "0.1048206680788083"
+      ]
+     },
+     "execution_count": 75,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# Computing the association between variables in 'crosstab_result' using the \"cramer\" method\n",
+    "association(counts_only, method='cramer')"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4d82ed3a",
+   "metadata": {},
+   "source": [
+    "Using Cramér's, the strength of association between best-seller status and category is 0.122."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6a43613d",
+   "metadata": {},
+   "source": [
+    "3. **Visualizations**:\n",
+    "\t- Visualize the relationship between product categories and the best-seller status using a stacked bar chart.\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 76,
+   "id": "a5f23b81",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1200x600 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "crosstab_result2.plot(kind='bar', stacked=True, figsize=(12, 6))\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "0892b870",
+   "metadata": {},
+   "source": [
+    "### Part 2: Exploring Product Prices and Ratings Across Categories and Brands\n",
+    "\n",
+    "**Objective**: Investigate how different product categories influence product prices.\n",
+    "\n",
+    "0. **Preliminary Step: Remove outliers in product prices.**\n",
+    "\n",
+    "\tFor this purpose, we can use the IQR (Interquartile Range) method. Products priced below the first quartile minus 1.5 times the IQR or above the third quartile plus 1.5 times the IQR will be considered outliers and removed from the dataset. The next steps will be done with the dataframe without outliers.\n",
+    "\t\n",
+    "\t*Hint: you can check the last Check For Understanding at the end of the lesson EDA Bivariate Analysis for a hint on how to do this.*\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 79,
+   "id": "0f523afa",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "36.0"
+      ]
+     },
+     "execution_count": 79,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# 1. Calculate Q1 (25th percentile) and Q3 (75th percentile)\n",
+    "Q1 = df['price'].quantile(0.25)\n",
+    "Q3 = df['price'].quantile(0.75)\n",
+    "# 2. Calculate the IQR\n",
+    "IQR = Q3 - Q1\n",
+    "IQR"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 81,
+   "id": "87af6e33",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(-44.01, 99.99000000000001)"
+      ]
+     },
+     "execution_count": 81,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# 3. Define the Upper and Lower bounds\n",
+    "lower_bound = Q1 - 1.5 * IQR\n",
+    "upper_bound = Q3 + 1.5 * IQR\n",
+    "lower_bound , upper_bound"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 82,
+   "id": "8d1e60a0",
+   "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>uid</th>\n",
+       "      <th>asin</th>\n",
+       "      <th>title</th>\n",
+       "      <th>stars</th>\n",
+       "      <th>reviews</th>\n",
+       "      <th>price</th>\n",
+       "      <th>isBestSeller</th>\n",
+       "      <th>boughtInLastMonth</th>\n",
+       "      <th>category</th>\n",
+       "    </tr>\n",
+       "  </thead>\n",
+       "  <tbody>\n",
+       "    <tr>\n",
+       "      <th>0</th>\n",
+       "      <td>1</td>\n",
+       "      <td>B09B96TG33</td>\n",
+       "      <td>Echo Dot (5th generation, 2022 release) | Big ...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>15308</td>\n",
+       "      <td>21.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>1</th>\n",
+       "      <td>2</td>\n",
+       "      <td>B01HTH3C8S</td>\n",
+       "      <td>Anker Soundcore mini, Super-Portable Bluetooth...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>98099</td>\n",
+       "      <td>23.99</td>\n",
+       "      <td>True</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2</th>\n",
+       "      <td>3</td>\n",
+       "      <td>B09B8YWXDF</td>\n",
+       "      <td>Echo Dot (5th generation, 2022 release) | Big ...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>15308</td>\n",
+       "      <td>21.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>3</th>\n",
+       "      <td>4</td>\n",
+       "      <td>B09B8T5VGV</td>\n",
+       "      <td>Echo Dot with clock (5th generation, 2022 rele...</td>\n",
+       "      <td>4.7</td>\n",
+       "      <td>7205</td>\n",
+       "      <td>31.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>4</th>\n",
+       "      <td>5</td>\n",
+       "      <td>B09WX6QD65</td>\n",
+       "      <td>Introducing Echo Pop | Full sound compact Wi-F...</td>\n",
+       "      <td>4.6</td>\n",
+       "      <td>1881</td>\n",
+       "      <td>17.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Hi-Fi Speakers</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>...</th>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "      <td>...</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443646</th>\n",
+       "      <td>2828589</td>\n",
+       "      <td>B0CHSD7P2Q</td>\n",
+       "      <td>Motorbike Armour, Motorbike Clothing, Cycling ...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>22.34</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443647</th>\n",
+       "      <td>2828590</td>\n",
+       "      <td>B0B7B8FNBQ</td>\n",
+       "      <td>PROFIRST Waterproof Motorcycle 2 Piece Ladies ...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>97.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443648</th>\n",
+       "      <td>2828591</td>\n",
+       "      <td>B0BD5FL5FB</td>\n",
+       "      <td>Men’s Motorcycle Motorbike Biker Trousers Kevl...</td>\n",
+       "      <td>0.0</td>\n",
+       "      <td>0</td>\n",
+       "      <td>52.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443649</th>\n",
+       "      <td>2828592</td>\n",
+       "      <td>B008OYLL4I</td>\n",
+       "      <td>Texpeed Mens Motorcycle Motorbike Biker Trouse...</td>\n",
+       "      <td>4.3</td>\n",
+       "      <td>404</td>\n",
+       "      <td>79.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "    <tr>\n",
+       "      <th>2443650</th>\n",
+       "      <td>2828593</td>\n",
+       "      <td>B08P3W9B3T</td>\n",
+       "      <td>RIDEX CJ223 Motorcycle Motorbike Jacket Armour...</td>\n",
+       "      <td>4.5</td>\n",
+       "      <td>34</td>\n",
+       "      <td>53.99</td>\n",
+       "      <td>False</td>\n",
+       "      <td>0</td>\n",
+       "      <td>Motorbike Clothing</td>\n",
+       "    </tr>\n",
+       "  </tbody>\n",
+       "</table>\n",
+       "<p>2115963 rows × 9 columns</p>\n",
+       "</div>"
+      ],
+      "text/plain": [
+       "             uid        asin  \\\n",
+       "0              1  B09B96TG33   \n",
+       "1              2  B01HTH3C8S   \n",
+       "2              3  B09B8YWXDF   \n",
+       "3              4  B09B8T5VGV   \n",
+       "4              5  B09WX6QD65   \n",
+       "...          ...         ...   \n",
+       "2443646  2828589  B0CHSD7P2Q   \n",
+       "2443647  2828590  B0B7B8FNBQ   \n",
+       "2443648  2828591  B0BD5FL5FB   \n",
+       "2443649  2828592  B008OYLL4I   \n",
+       "2443650  2828593  B08P3W9B3T   \n",
+       "\n",
+       "                                                     title  stars  reviews  \\\n",
+       "0        Echo Dot (5th generation, 2022 release) | Big ...    4.7    15308   \n",
+       "1        Anker Soundcore mini, Super-Portable Bluetooth...    4.7    98099   \n",
+       "2        Echo Dot (5th generation, 2022 release) | Big ...    4.7    15308   \n",
+       "3        Echo Dot with clock (5th generation, 2022 rele...    4.7     7205   \n",
+       "4        Introducing Echo Pop | Full sound compact Wi-F...    4.6     1881   \n",
+       "...                                                    ...    ...      ...   \n",
+       "2443646  Motorbike Armour, Motorbike Clothing, Cycling ...    0.0        0   \n",
+       "2443647  PROFIRST Waterproof Motorcycle 2 Piece Ladies ...    0.0        0   \n",
+       "2443648  Men’s Motorcycle Motorbike Biker Trousers Kevl...    0.0        0   \n",
+       "2443649  Texpeed Mens Motorcycle Motorbike Biker Trouse...    4.3      404   \n",
+       "2443650  RIDEX CJ223 Motorcycle Motorbike Jacket Armour...    4.5       34   \n",
+       "\n",
+       "         price  isBestSeller  boughtInLastMonth            category  \n",
+       "0        21.99         False                  0      Hi-Fi Speakers  \n",
+       "1        23.99          True                  0      Hi-Fi Speakers  \n",
+       "2        21.99         False                  0      Hi-Fi Speakers  \n",
+       "3        31.99         False                  0      Hi-Fi Speakers  \n",
+       "4        17.99         False                  0      Hi-Fi Speakers  \n",
+       "...        ...           ...                ...                 ...  \n",
+       "2443646  22.34         False                  0  Motorbike Clothing  \n",
+       "2443647  97.99         False                  0  Motorbike Clothing  \n",
+       "2443648  52.99         False                  0  Motorbike Clothing  \n",
+       "2443649  79.99         False                  0  Motorbike Clothing  \n",
+       "2443650  53.99         False                  0  Motorbike Clothing  \n",
+       "\n",
+       "[2115963 rows x 9 columns]"
+      ]
+     },
+     "execution_count": 82,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "# 4. Filter the dataframe to remove outliers\n",
+    "# We keep only rows where price is between the lower and upper bounds\n",
+    "df_no_outliers = df[(df['price'] >= lower_bound) & (df['price'] <= upper_bound)]\n",
+    "df_no_outliers"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "77553976",
+   "metadata": {},
+   "source": [
+    ". **Violin Plots**:\n",
+    "    - Use a violin plot to visualize the distribution of `price` across different product `categories`. Filter out the top 20 categories based on count for better visualization.\n",
+    "    - Which product category tends to have the highest median price? Don't filter here by top categories."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 87,
+   "id": "2c174919",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# 1. Identify the top 20 most frequent categories\n",
+    "top_20_cat_names = df_no_outliers['category'].value_counts().head(20).index\n",
+    "\n",
+    "# 2. Filter the dataframe to include ONLY those 20 categories\n",
+    "df_top_20 = df_no_outliers[df_no_outliers['category'].isin(top_20_cat_names)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 88,
+   "id": "3fabefb8",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 1200x1000 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# 3. Create the violin plot\n",
+    "plt.figure(figsize=(12, 10)) # Increase figure size for readability\n",
+    "sns.violinplot(data=df_top_20, x=\"category\", y=\"price\", palette=\"coolwarm\")\n",
+    "\n",
+    "plt.title('Price Distribution for Top 20 Product Categories')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "bdaaeb94",
+   "metadata": {},
+   "source": [
+    "2. **Bar Charts**:\n",
+    "    - Create a bar chart comparing the average price of products for the top 10 product categories (based on count).\n",
+    "    - Which product category commands the highest average price? Don't filter here by top categories."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 89,
+   "id": "096e35aa",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.barplot(data=df, x=\"category\", y=\"price\", palette=\"coolwarm\", errorbar=None, estimator=\"mean\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "cf45d420",
+   "metadata": {},
+   "source": [
+    "3. **Box Plots**:\n",
+    "    - Visualize the distribution of product `ratings` based on their `category` using side-by-side box plots. Filter out the top 10 categories based on count for better visualization.\n",
+    "    - Which category tends to receive the highest median rating from customers? Don't filter here by top categories."
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 90,
+   "id": "76e21390",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# 1. Identify the top 10 most frequent categories\n",
+    "top_10_cat_names = df ['stars'].value_counts().head(10).index\n",
+    "\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 93,
+   "id": "87230a19",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "# 2. Filter the dataframe to include ONLY those 10 categories\n",
+    "df_top_10 = df[df['stars'].isin(top_10_cat_names)]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 94,
+   "id": "4e6017fb",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.boxplot(data=df, x=\"category\", y=\"stars\", palette=\"coolwarm\")\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "4d9d00d2",
+   "metadata": {},
+   "source": [
+    "### Part 3: Investigating the Interplay Between Product Prices and Ratings\n",
+    "\n",
+    "**Objective**: Analyze how product ratings (`stars`) correlate with product prices.\n",
+    "\n",
+    "1. **Correlation Coefficients**:\n",
+    "    - Calculate the correlation coefficient between `price` and `stars`.\n",
+    "    - Is there a significant correlation between product price and its rating?"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 95,
+   "id": "4201c776",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "Index(['uid', 'stars', 'reviews', 'price', 'boughtInLastMonth'], dtype='object')"
+      ]
+     },
+     "execution_count": 95,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "num.columns"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 96,
+   "id": "33dca929",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-0.12"
+      ]
+     },
+     "execution_count": 96,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "round(float(df[\"price\"].corr(df[\"stars\"], method=\"pearson\")), 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 97,
+   "id": "6c392480",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-0.13316425462433937"
+      ]
+     },
+     "execution_count": 97,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "df[\"price\"].corr(df[\"stars\"], method=\"spearman\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 98,
+   "id": "cc46b1d3",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "-0.13"
+      ]
+     },
+     "execution_count": 98,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "round(float(df[\"price\"].corr(df[\"stars\"], method=\"spearman\")), 2)"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "422bb068",
+   "metadata": {},
+   "source": [
+    " The **Pearson correlation** of \\(-0.12\\) suggests a strong positive linear relationship between the price of the products and its rating in stars. As the Rating increases, the price tends to increase as well.\n",
+    "  \n",
+    "- The **Spearman correlation** of \\(-0.13\\) indicates a strong positive monotonic relationship between the two variables. This means that when one variable increases, the other also tends to increase, but not necessarily at a constant rate.\n",
+    "\n",
+    "The slightly higher value for Spearman correlation suggests that there might be some non-linear aspects to their relationship or the presence of outliers affecting the Pearson correlation.\n",
+    "\n",
+    "In essence, both correlations emphasize that products with higher rating tend to have higher prices."
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "6c40da71",
+   "metadata": {},
+   "source": [
+    "2. **Visualizations**:\n",
+    "    - Use a scatter plot to visualize the relationship between product rating and price. What patterns can you observe?\n",
+    "    - Use a correlation heatmap to visualize correlations between all numerical variables.\n",
+    "    - Examine if product prices typically follow a normal distribution using a QQ plot. "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 99,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "sns.scatterplot(data=df, x='price', y='stars')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 100,
+   "id": "c8fde5ee",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "correlation_matrix = num.corr()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 101,
+   "id": "23b2e14e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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+      "text/plain": [
+       "<Figure size 3500x2500 with 2 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "mask = np.triu(np.ones_like(correlation_matrix, dtype=bool))\n",
+    "plt.figure(figsize=(35, 25))\n",
+    "sns.heatmap(correlation_matrix, mask=mask, annot=True, cmap=\"coolwarm\")\n",
+    "\n",
+    "plt.show()"
+   ]
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "base",
+   "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": "3.10.9"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}