From acdf7048a93fe1654be1d99419da12bae8dbc4af Mon Sep 17 00:00:00 2001 From: mudabbir-ahmad Date: Sun, 26 Apr 2026 15:37:09 +0100 Subject: [PATCH] All Questions done. --- Q1.ipynb | 2213 +++++++++++++++++++++++++++--------------------------- Q2.ipynb | 1627 +++++++++++++++++++-------------------- 2 files changed, 1869 insertions(+), 1971 deletions(-) diff --git a/Q1.ipynb b/Q1.ipynb index 1619b9d..87222d1 100644 --- a/Q1.ipynb +++ b/Q1.ipynb @@ -17,6 +17,7 @@ }, { "cell_type": "code", + "execution_count": 22, "id": "edaea0c939a83b79", "metadata": { "ExecuteTime": { @@ -24,17 +25,17 @@ "start_time": "2026-04-26T14:22:27.814871100Z" } }, + "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns" - ], - "outputs": [], - "execution_count": 22 + ] }, { "cell_type": "code", + "execution_count": 23, "id": "15479f82", "metadata": { "ExecuteTime": { @@ -42,15 +43,15 @@ "start_time": "2026-04-26T14:22:27.825227800Z" } }, + "outputs": [], "source": [ "# Keep one fixed seed so the same split/results appear each run.\n", "seed = 101" - ], - "outputs": [], - "execution_count": 23 + ] }, { "cell_type": "code", + "execution_count": 24, "id": "e657e9baacc13e6b", "metadata": { "ExecuteTime": { @@ -58,11 +59,10 @@ "start_time": "2026-04-26T14:22:27.870320Z" } }, + "outputs": [], "source": [ "df = pd.read_csv('data/googleplaystore_new.csv')" - ], - "outputs": [], - "execution_count": 24 + ] }, { "cell_type": "markdown", @@ -79,6 +79,7 @@ }, { "cell_type": "code", + "execution_count": 25, "id": "756c92821453bbb3", "metadata": { "ExecuteTime": { @@ -86,15 +87,15 @@ "start_time": "2026-04-26T14:22:27.898898200Z" } }, + "outputs": [], "source": [ "df = df.dropna()\n", "df = df.drop_duplicates()" - ], - "outputs": [], - "execution_count": 25 + ] }, { "cell_type": "code", + "execution_count": 26, "id": "4e1be303d63f47a4", "metadata": { "ExecuteTime": { @@ -102,37 +103,9 @@ "start_time": "2026-04-26T14:22:27.921790600Z" } }, - "source": [ - "df.head(10)" - ], "outputs": [ { "data": { - "text/plain": [ - " App Category Rating Reviews Size \\\n", - "0 Market Update Helper LIBRARIES_AND_DEMO 4.1 20145 11k \n", - "1 SuperLivePro BUSINESS 4.3 46353 21M \n", - "2 Wifi Connect Library LIBRARIES_AND_DEMO 3.9 58055 41k \n", - "3 Apk Installer LIBRARIES_AND_DEMO 3.8 7750 292k \n", - "4 English speaking texts EDUCATION 4.4 1619 3.0M \n", - "5 Eternal life LIBRARIES_AND_DEMO 5.0 26 2.5M \n", - "6 Dresses Ideas & Fashions +3000 BEAUTY 4.5 473 8.2M \n", - "7 GO Notifier COMMUNICATION 4.2 124346 695k \n", - "8 Prosperity EVENTS 5.0 16 2.3M \n", - "9 NSE Mobile Trading FINANCE 4.1 13868 1.4M \n", - "\n", - " Installs Type Price Content Rating Genres Android Ver \n", - "0 1,000,000+ Free 0 Everyone Libraries & Demo 1.5 and up \n", - "1 1,000,000+ Free 0 Everyone Business 1.5 and up \n", - "2 5,000,000+ Free 0 Everyone Libraries & Demo 1.5 and up \n", - "3 1,000,000+ Free 0 Everyone Libraries & Demo 1.6 and up \n", - "4 1,000,000+ Free 0 Everyone Education 1.6 and up \n", - "5 1,000+ Free 0 Everyone Libraries & Demo 1.6 and up \n", - "6 100,000+ Free 0 Mature 17+ Beauty 1.6 and up \n", - "7 10,000,000+ Free 0 Everyone Communication 2.0 and up \n", - "8 100+ Free 0 Everyone Events 2.0 and up \n", - "9 1,000,000+ Free 0 Everyone Finance 2.1 and up " - ], "text/html": [ "
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SelectionBest alphaCV R2 meanRMSE (test)
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SelectionBest alphaCV R2 meanRMSE (test)
0Part G Ridge best alpha by CV R2 mean then RMSE1.00.0908462.162718e+07
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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plt.figure(figsize=(6, 6))\n", "plt.scatter(y_test_g, y_pred_ridge_g, alpha=0.5)\n", @@ -4031,23 +4015,7 @@ "plt.ylabel(\"Predicted Size in Bytes\")\n", "plt.tight_layout()\n", "plt.show()" - ], - "outputs": [ - { - "data": { - "text/plain": [ - "
" - ], - "image/png": 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- }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 84 + ] }, { "cell_type": "markdown", @@ -4059,6 +4027,7 @@ }, { "cell_type": "code", + "execution_count": 85, "id": "c7a5e958c9ab89e6", "metadata": { "ExecuteTime": { @@ -4066,24 +4035,9 @@ "start_time": "2026-04-26T14:22:31.804997400Z" } }, - "source": [ - "results_df_g = pd.DataFrame(results_g)\n", - "results_df_g" - ], "outputs": [ { "data": { - "text/plain": [ - " Model MAE (test) MSE (test) RMSE (test) \\\n", - "0 Linear Regression 1.458116e+07 3.634642e+14 1.906474e+07 \n", - "1 Polynomial Regression 1.708302e+07 7.093839e+14 2.663426e+07 \n", - "2 Ridge Regression (alpha=1.0) 1.629031e+07 4.677350e+14 2.162718e+07 \n", - "\n", - " R2 (test) CV R2 (mean) CV R2 (std) \n", - "0 0.292880 0.245829 0.067041 \n", - "1 -0.380108 -0.452607 0.900419 \n", - "2 0.090021 0.090846 0.056075 " - ], "text/html": [ "
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ModelMAE (test)MSE (test)RMSE (test)R2 (test)CV R2 (mean)CV R2 (std)
0Linear Regression1.458116e+073.634642e+141.906474e+070.2928800.2458290.067041
1Ridge Regression (alpha=1.0)1.629031e+074.677350e+142.162718e+070.0900210.0908460.056075
2Polynomial Regression1.708302e+077.093839e+142.663426e+07-0.380108-0.4526070.900419
\n", + "
" + ], + "text/plain": [ + " Model MAE (test) MSE (test) RMSE (test) \\\n", + "0 Linear Regression 1.458116e+07 3.634642e+14 1.906474e+07 \n", + "1 Ridge Regression (alpha=1.0) 1.629031e+07 4.677350e+14 2.162718e+07 \n", + "2 Polynomial Regression 1.708302e+07 7.093839e+14 2.663426e+07 \n", + "\n", + " R2 (test) CV R2 (mean) CV R2 (std) \n", + "0 0.292880 0.245829 0.067041 \n", + "1 0.090021 0.090846 0.056075 \n", + "2 -0.380108 -0.452607 0.900419 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "plt.figure(figsize=(10, 6))\n", "sns.barplot(data=results_melted_g, x='Model', y='Score', hue='Metric')\n", @@ -4197,140 +4258,21 @@ "display(ranked_g)\n", "\n", "best_model_g = ranked_g.iloc[0]['Model']" - ], - "outputs": [ - { - "data": { - "text/plain": [ - "
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ModelMAE (test)MSE (test)RMSE (test)R2 (test)CV R2 (mean)CV R2 (std)
0Linear Regression1.458116e+073.634642e+141.906474e+070.2928800.2458290.067041
1Ridge Regression (alpha=1.0)1.629031e+074.677350e+142.162718e+070.0900210.0908460.056075
2Polynomial Regression1.708302e+077.093839e+142.663426e+07-0.380108-0.4526070.900419
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" - ] - }, - "metadata": {}, - "output_type": "display_data", - "jetTransient": { - "display_id": null - } - } - ], - "execution_count": 87 + ] }, { + "cell_type": "code", + "execution_count": 88, + "id": "28a5dae231975e76", "metadata": { "ExecuteTime": { "end_time": "2026-04-26T14:22:32.072309500Z", "start_time": "2026-04-26T14:22:32.048607700Z" } }, - "cell_type": "code", - "source": [ - "display(pd.DataFrame([{'Part G Best Model': best_model_g}]))\n", - "\n", - "pred_sheet_part_g_linear = regression_prediction_sheet(y_test_g, y_pred_lin_g, 'Linear Regression')\n", - "pred_sheet_part_g_poly = regression_prediction_sheet(y_test_g, y_pred_poly_g, 'Polynomial Regression')\n", - "pred_sheet_part_g_ridge = regression_prediction_sheet(y_test_g, y_pred_ridge_g, f'Ridge Regression (alpha={best_ridge_alpha_g})')\n", - "\n", - "part_g_pred_sheet = {\n", - " 'Linear Regression': pred_sheet_part_g_linear,\n", - " 'Polynomial Regression': pred_sheet_part_g_poly,\n", - "}.get(best_model_g, pred_sheet_part_g_linear)\n", - "\n", - "if 'Ridge Regression' in best_model_g:\n", - " part_g_pred_sheet = pred_sheet_part_g_ridge\n", - "\n", - "part_g_pred_sheet" - ], - "id": "28a5dae231975e76", "outputs": [ { "data": { - "text/plain": [ - " Part G Best Model\n", - "0 Linear Regression" - ], "text/html": [ "
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