From a91440f746e4deabc74768fe27ce99e58470324e Mon Sep 17 00:00:00 2001 From: mudabbir-ahmad Date: Sun, 26 Apr 2026 16:01:45 +0100 Subject: [PATCH] Refined Answers! --- Q2.ipynb | 11 ++++++----- 1 file changed, 6 insertions(+), 5 deletions(-) diff --git a/Q2.ipynb b/Q2.ipynb index 3d94c0b..244b2fa 100644 --- a/Q2.ipynb +++ b/Q2.ipynb @@ -24,6 +24,7 @@ "source": [ "import pandas as pd\n", "import numpy as np\n", + "from fontTools.diff import color\n", "from sklearn.model_selection import train_test_split\n", "from sklearn.preprocessing import StandardScaler\n", "from sklearn.linear_model import LogisticRegression\n", @@ -4520,8 +4521,8 @@ "id": "78b84ffa610839ec", "metadata": { "ExecuteTime": { - "end_time": "2026-04-26T14:56:48.788059200Z", - "start_time": "2026-04-26T14:56:48.666808400Z" + "end_time": "2026-04-26T15:01:38.773145900Z", + "start_time": "2026-04-26T15:01:38.669533800Z" } }, "source": [ @@ -4533,7 +4534,7 @@ "display(comparison_c)\n", "fig, ax = plt.subplots(figsize=(7, 4))\n", "ax.bar(comparison_c[\"Model\"], comparison_c[\"Weighted F1\"], label=\"Weighted F1\")\n", - "ax.plot(comparison_c[\"Model\"], comparison_c[\"Accuracy\"], marker='o', linewidth=2, label=\"Accuracy\")\n", + "ax.plot(comparison_c[\"Model\"], comparison_c[\"Accuracy\"], marker='o', linewidth=2, label=\"Accuracy\", color='orange')\n", "ax.set_title(\"Part C: Model comparison on Test set\")\n", "ax.set_ylim(0, 1)\n", "ax.grid(True, axis='y', alpha=0.3)\n", @@ -4602,7 +4603,7 @@ "text/plain": [ "
" ], - "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data", @@ -4611,7 +4612,7 @@ } } ], - "execution_count": 108 + "execution_count": 116 }, { "cell_type": "code",