diff --git a/notebooks/student_performance_predictor_report.ipynb b/notebooks/student_performance_predictor_report.ipynb index 3ed9175..e0ce27d 100644 --- a/notebooks/student_performance_predictor_report.ipynb +++ b/notebooks/student_performance_predictor_report.ipynb @@ -682,6 +682,14 @@ "validate_missingness(subset_df)" ] }, + { + "cell_type": "markdown", + "id": "a8fbaf15-4a1a-402e-a0dd-9015c6fdcef0", + "metadata": {}, + "source": [ + "**Figure 1: Missing Values Heatmap**" + ] + }, { "cell_type": "code", "execution_count": 9, @@ -754,6 +762,14 @@ "validate_target_distribution(subset_df, target_column=\"G3\")" ] }, + { + "cell_type": "markdown", + "id": "981b8275-7d7c-4167-9a92-29d186e9ae44", + "metadata": {}, + "source": [ + "**Figure 2: Distribution of the target variable**" + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -850,6 +866,14 @@ "validate_no_outliers(subset_df, numeric_columns)" ] }, + { + "cell_type": "markdown", + "id": "23fdadaf-b11a-4778-8547-16af8685f6f0", + "metadata": {}, + "source": [ + "**Figure 3: Outliers visualization**" + ] + }, { "attachments": {}, "cell_type": "markdown", @@ -5164,7 +5188,7 @@ "title": "Distribution of Final Grades (G3)", "width": 400 }, - "image/png": 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", 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", "text/plain": [ "\n", "\n", @@ -5197,7 +5221,7 @@ "id": "ab63863a-5bfe-4fd9-9166-e24700a2ec05", "metadata": {}, "source": [ - "**Figure 1: Distribution of Final Grades (G3)**\n" + "**Figure 4: Distribution of Final Grades (G3)**\n" ] }, { @@ -5240,7 +5264,7 @@ "id": "7b8c4a70-aba1-4a7b-8098-71fb1c3fb52b", "metadata": {}, "source": [ - "**Figure 2: Density plot for each numeric columns (including the target `G3`)**\n", + "**Figure 5: Density plot for each numeric columns (including the target `G3`)**\n", "\n", "Some interesting observations:\n", "\n", @@ -5266,10 +5290,10 @@ } }, "data": { - "name": "data-d09e159500f22c7e5fe963a320483083" + "name": "data-efd56ea7d95f22ad05d8da60a15de088" }, "datasets": { - "data-d09e159500f22c7e5fe963a320483083": [ + "data-efd56ea7d95f22ad05d8da60a15de088": [ { "abs_corr": 1, "correlation": 1, @@ -5277,14 +5301,14 @@ "var2": "age" }, { - "abs_corr": 0.13889315746562797, - "correlation": 0.13889315746562797, + "abs_corr": 0.1388931574656279, + "correlation": 0.1388931574656279, "var1": "Dalc", "var2": "age" }, { - "abs_corr": 0.08529698637678873, - "correlation": 0.08529698637678873, + "abs_corr": 0.08529698637678869, + "correlation": 0.08529698637678869, "var1": "Walc", "var2": "age" }, @@ -5295,8 +5319,8 @@ "var2": "age" }, { - "abs_corr": 0.11771105084275327, - "correlation": -0.11771105084275327, + "abs_corr": 0.1177110508427533, + "correlation": -0.1177110508427533, "var1": "G2", "var2": "age" }, @@ -5307,8 +5331,8 @@ "var2": "age" }, { - "abs_corr": 0.017450228864066032, - "correlation": -0.017450228864066032, + "abs_corr": 0.017450228864066046, + "correlation": -0.017450228864066046, "var1": "age", "var2": "studytime" }, @@ -5319,20 +5343,20 @@ "var2": "studytime" }, { - "abs_corr": 0.18573395127589157, - "correlation": -0.18573395127589157, + "abs_corr": 0.1857339512758916, + "correlation": -0.1857339512758916, "var1": "failures", "var2": "studytime" }, { - "abs_corr": 0.03487218053713946, - "correlation": -0.03487218053713946, + "abs_corr": 0.03487218053713947, + "correlation": -0.03487218053713947, "var1": "goout", "var2": "studytime" }, { - "abs_corr": 0.20065352631077085, - "correlation": -0.20065352631077085, + "abs_corr": 0.20065352631077082, + "correlation": -0.20065352631077082, "var1": "Dalc", "var2": "studytime" }, @@ -5343,14 +5367,14 @@ "var2": "studytime" }, { - "abs_corr": 0.18338286622520975, - "correlation": 0.18338286622520975, + "abs_corr": 0.18338286622520977, + "correlation": 0.18338286622520977, "var1": "G1", "var2": "studytime" }, { - "abs_corr": 0.14671141083083117, - "correlation": 0.14671141083083117, + "abs_corr": 0.1467114108308312, + "correlation": 0.1467114108308312, "var1": "G2", "var2": "studytime" }, @@ -5373,20 +5397,20 @@ "var2": "failures" }, { - "abs_corr": 0.15529176941803638, - "correlation": 0.15529176941803638, + "abs_corr": 0.15529176941803643, + "correlation": 0.15529176941803643, "var1": "Dalc", "var2": "failures" }, { - "abs_corr": 0.12115859193762252, - "correlation": 0.12115859193762252, + "abs_corr": 0.12115859193762256, + "correlation": 0.12115859193762256, "var1": "Walc", "var2": "failures" }, { - "abs_corr": 0.34630209686532853, - "correlation": -0.34630209686532853, + "abs_corr": 0.34630209686532837, + "correlation": -0.34630209686532837, "var1": "G1", "var2": "failures" }, @@ -5403,8 +5427,8 @@ "var2": "failures" }, { - "abs_corr": 0.1222430953724661, - "correlation": 0.1222430953724661, + "abs_corr": 0.12224309537246601, + "correlation": 0.12224309537246601, "var1": "age", "var2": "goout" }, @@ -5421,26 +5445,26 @@ "var2": "goout" }, { - "abs_corr": 0.2831917675231829, - "correlation": 0.2831917675231829, + "abs_corr": 0.28319176752318304, + "correlation": 0.28319176752318304, "var1": "Dalc", "var2": "goout" }, { - "abs_corr": 0.4205024467291574, - "correlation": 0.4205024467291574, + "abs_corr": 0.42050244672915726, + "correlation": 0.42050244672915726, "var1": "Walc", "var2": "goout" }, { - "abs_corr": 0.13171764711156908, - "correlation": -0.13171764711156908, + "abs_corr": 0.13171764711156903, + "correlation": -0.13171764711156903, "var1": "G1", "var2": "goout" }, { - "abs_corr": 0.14329458815561627, - "correlation": -0.14329458815561627, + "abs_corr": 0.14329458815561624, + "correlation": -0.14329458815561624, "var1": "G2", "var2": "goout" }, @@ -5457,8 +5481,8 @@ "var2": "Dalc" }, { - "abs_corr": 0.6254040290694677, - "correlation": 0.6254040290694677, + "abs_corr": 0.6254040290694678, + "correlation": 0.6254040290694678, "var1": "Dalc", "var2": "Walc" }, @@ -5469,26 +5493,26 @@ "var2": "Walc" }, { - "abs_corr": 0.1031600166534139, - "correlation": -0.1031600166534139, + "abs_corr": 0.10316001665341387, + "correlation": -0.10316001665341387, "var1": "G1", "var2": "Walc" }, { - "abs_corr": 0.05391601055872576, - "correlation": -0.05391601055872576, + "abs_corr": 0.05391601055872573, + "correlation": -0.05391601055872573, "var1": "G2", "var2": "Walc" }, { - "abs_corr": 0.020896609964628585, - "correlation": -0.020896609964628585, + "abs_corr": 0.020896609964628582, + "correlation": -0.020896609964628582, "var1": "G3", "var2": "Walc" }, { - "abs_corr": 0.09863695837641835, - "correlation": -0.09863695837641835, + "abs_corr": 0.09863695837641837, + "correlation": -0.09863695837641837, "var1": "Dalc", "var2": "G1" }, @@ -5505,8 +5529,8 @@ "var2": "G2" }, { - "abs_corr": 0.8341647180849378, - "correlation": 0.8341647180849378, + "abs_corr": 0.8341647180849379, + "correlation": 0.8341647180849379, "var1": "G1", "var2": "G2" }, @@ -5517,20 +5541,20 @@ "var2": "G2" }, { - "abs_corr": 0.05342024898362098, - "correlation": -0.05342024898362098, + "abs_corr": 0.05342024898362093, + "correlation": -0.05342024898362093, "var1": "Dalc", "var2": "G3" }, { - "abs_corr": 0.7870966817225645, - "correlation": 0.7870966817225645, + "abs_corr": 0.7870966817225644, + "correlation": 0.7870966817225644, "var1": "G1", "var2": "G3" }, { - "abs_corr": 0.9011602845327722, - "correlation": 0.9011602845327722, + "abs_corr": 0.9011602845327725, + "correlation": 0.9011602845327725, "var1": "G2", "var2": "G3" }, @@ -5577,7 +5601,7 @@ "title": "Pairwise correlations between variables (including target)", "width": 250 }, - "image/png": 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", + "image/png": 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", "text/plain": [ "\n", "\n", @@ -5616,7 +5640,7 @@ "id": "4a4855d8-41a1-4241-84ed-bb7d7361c91f", "metadata": {}, "source": [ - "**Figure 3: Correlation matrices for each numeric columns (including target `G3`)**\n", + "**Figure 6: Correlation matrices for each numeric columns (including target `G3`)**\n", "\n", "Some interesting observations:\n", "\n", @@ -6291,10 +6315,10 @@ " \n", " \n", " mean_fit_time\n", - " 0.003622\n", - " 0.004780\n", - " 0.002271\n", - " 0.002573\n", + " 0.047195\n", + " 0.057774\n", + " 0.014258\n", + " 0.011138\n", " \n", " \n", "\n", @@ -6304,7 +6328,7 @@ "rank_test_score 1 2 3 4\n", "mean_test_score 0.809728 0.809702 0.808180 0.765174\n", "param_ridge__alpha 1.000000 0.100000 10.000000 100.000000\n", - "mean_fit_time 0.003622 0.004780 0.002271 0.002573" + "mean_fit_time 0.047195 0.057774 0.014258 0.011138" ] }, "execution_count": 27, @@ -6674,7 +6698,7 @@ "id": "3b079c06-9498-4f38-87b9-fb3e1e556b91", "metadata": {}, "source": [ - "**Figure 4: Ridge regression coefficients**\n" + "**Figure 7: Ridge regression coefficients**\n" ] }, { @@ -6728,9 +6752,9 @@ ], "metadata": { "kernelspec": { - "display_name": "Python [conda env:522-project-env]", + "display_name": "Python 3 (ipykernel)", "language": "python", - "name": "conda-env-522-project-env-py" + "name": "python3" }, "language_info": { "codemirror_mode": {