You cannot select more than 25 topics Topics must start with a letter or number, can include dashes ('-') and can be up to 35 characters long.

400 lines
196 KiB
Plaintext

{
"cells": [
{
"cell_type": "code",
"execution_count": 17,
"id": "01ea2da4",
"metadata": {},
"outputs": [],
"source": [
"# data for the OLS\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"theta0 = 2.6486\n",
"theta1 = 4.98\n",
"m = 500\n",
"disp = 1\n",
"x = np.linspace(0,5,m)\n",
"y = theta0+theta1*x+disp*np.random.randn(m)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0f0c131a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x,y, '.k')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "c21073a6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.990800615658485)"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"xMean = x.mean()\n",
"yMean = y.mean()\n",
"\n",
"Sxx = np.sum((x - xMean)**2)\n",
"Syy = np.sum((y - yMean)**2)\n",
"Sxy = np.sum((x - xMean) * (y - yMean))\n",
"\n",
"r = Sxy / np.sqrt(Sxx * Syy)\n",
"r"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "aff5adac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.95082413, -0.64573564, 0.87130595, -0.53988214, -0.56134601,\n",
" 0.718763 , -1.57062343, 0.39547852, 0.28642336, 0.67589762,\n",
" -0.05256052, 0.52740588, -0.2622087 , 0.95248882, 0.77106812,\n",
" 1.04923914, -0.56930707, 0.0336549 , -1.23845916, 1.34279223,\n",
" -1.28317243, 0.23367606, 1.5810006 , -1.28925369, -0.91503262,\n",
" -0.47238037, -0.51189083, 0.22029059, 0.1362538 , 0.10890607,\n",
" 1.45135919, 1.07239237, -0.9002686 , 1.64189709, -0.28342477,\n",
" -1.09095379, -0.95598686, -0.40362419, -1.11918067, 0.20567161,\n",
" -0.87438623, -1.84805568, -0.00444769, -0.11272938, 0.50923524,\n",
" -0.89881567, 1.16206936, -1.9768896 , -0.05677879, 0.38329957,\n",
" 0.0615791 , 0.8993067 , -0.24370477, 1.25224753, 0.60692638,\n",
" 0.95457789, 0.98691527, -0.1311992 , 2.58603558, 1.0730014 ,\n",
" 0.17406217, -1.29052871, 0.20098696, 0.45699896, -0.52684263,\n",
" 0.10757726, -1.89143251, -0.49583779, -1.25280976, -0.59317229,\n",
" -1.81655035, -0.07774643, 0.15291058, -0.75178735, 0.62247512,\n",
" -0.32728714, -1.19090979, -0.43800424, -0.16657564, -0.06809202,\n",
" -1.10897576, 0.96155511, -1.27332763, -1.69728706, -0.13244864,\n",
" 2.26993619, -1.1321696 , 0.23118172, -0.72868948, -0.40760238,\n",
" 1.14781616, 0.89399912, -1.5778674 , 1.72964767, 1.57281777,\n",
" 0.98959707, -0.25492353, 2.74815498, 0.84893292, 0.02476336,\n",
" -0.14090556, -0.10655555, 0.16575435, 2.23144836, -1.3674825 ,\n",
" 1.60257431, -0.89391951, -0.21138826, -1.35590793, 0.24152162,\n",
" -0.68848452, 0.98023832, -0.03728212, 1.03889927, 0.42250127,\n",
" 0.02780973, -0.33943696, 0.70674449, -0.31820218, 1.53218837,\n",
" 1.60772438, -0.52389461, -1.2920113 , 1.24985278, 1.46437141,\n",
" 1.72886415, 0.12737415, -1.97940349, 0.13704773, 1.74651052,\n",
" 0.27692414, -0.69784684, 0.59447656, -1.6277447 , 0.33408282,\n",
" 0.08283985, -0.42907066, -3.17350929, 1.11954369, 0.02343232,\n",
" -0.14214897, -0.08838091, 0.1710834 , -0.52138624, -0.47162436,\n",
" 0.6054694 , -0.77336679, -1.04961157, -1.15736182, 1.38816005,\n",
" -1.19569705, -0.95423653, -0.71998855, -0.44764349, 2.48909426,\n",
" 1.32604927, -0.87414051, 0.5652511 , -1.41119301, -1.17531097,\n",
" -0.2006058 , 0.68645401, 1.18821643, 1.10287223, -1.13623775,\n",
" -0.44324516, -0.60034911, -1.71777341, -0.13731388, -1.19598731,\n",
" -1.40460078, 2.18318474, -0.25665186, 0.13941005, -1.03257039,\n",
" -0.14168248, -0.05353929, 0.9652615 , 1.59328294, -0.43964003,\n",
" -0.18848033, -0.42417106, -1.36980691, -0.26081353, 0.78554832,\n",
" -1.42055201, 1.29653318, -0.39959893, 0.26578292, 0.43503535,\n",
" 1.12952839, -1.15640984, -1.86981674, -1.85299422, 0.58197496,\n",
" 0.33479713, 1.10426353, 0.65709598, -0.36545727, -0.94257773,\n",
" 0.32804686, 1.14686355, -0.40733814, 1.6815773 , 0.55602572,\n",
" -0.22397765, 0.09222097, 0.32542925, -0.64405536, 0.69482021,\n",
" 0.39390481, -0.42203615, 1.46687941, -0.54187665, -1.21430829,\n",
" 0.27910103, 1.39819159, -1.17537755, -0.65009484, 0.99475956,\n",
" 1.0573686 , -1.03661444, 0.1850461 , 0.47221162, 0.30483808,\n",
" 0.44341025, 1.80746389, -0.08666078, 0.38689218, -0.79105298,\n",
" -0.46934343, -2.98387474, 0.49558085, -0.82921583, 0.30384201,\n",
" -0.41699037, 0.71682262, 0.08100853, 0.95911846, 0.1805543 ,\n",
" 1.24498695, 2.13075034, -0.79247779, -1.46850503, -1.45895857,\n",
" -0.10525365, -0.24755927, -0.4308391 , -0.14923592, 0.65655332,\n",
" 0.4330343 , -1.14340091, -0.19470556, -1.27218357, 0.1085798 ,\n",
" 1.00076225, 1.064037 , -0.69196389, -2.42524639, 0.27019292,\n",
" -0.73286207, 1.14572395, 0.51588267, 1.5363161 , 0.85035987,\n",
" -0.58268652, 0.15414688, -1.88700757, -0.09797611, -0.86406005,\n",
" 0.21557541, 0.29166805, 2.06165041, 0.54580793, 2.23401705,\n",
" 1.04566736, -1.40389533, 1.76667624, -0.83624078, -0.51967116,\n",
" 0.46900263, -0.28565591, 0.0056141 , 1.7469312 , -0.02517737,\n",
" 0.10641521, 0.6377089 , -0.92879003, -1.98053636, -0.38344278,\n",
" -0.80088618, 0.77383712, 0.9961228 , 0.43158633, 2.09416231,\n",
" 0.81005138, 0.0776556 , 1.65976834, -1.7955456 , -1.10733159,\n",
" -1.54788739, -0.60808617, -0.83599693, -1.34597955, -0.40085066,\n",
" -0.38056226, 0.62933008, 1.69891605, 0.85233287, -0.64892305,\n",
" 0.63648449, 0.025184 , -0.29230831, -0.97429273, -0.43512737,\n",
" 1.19596399, -0.46304232, -0.54587135, 0.58229878, 1.03146887,\n",
" -0.81520763, 1.10749725, -0.92944773, -0.07445753, 0.76357247,\n",
" 0.69727264, -0.02613729, 1.10331085, -1.05104358, 0.67284364,\n",
" -0.16857696, 0.77230299, -0.15154626, -0.00998967, -0.27331846,\n",
" 0.22032324, 0.4355563 , -1.11632126, -0.02649838, -0.86337924,\n",
" 0.28522106, 0.00560423, -0.36240625, -0.19437625, -1.27732657,\n",
" 0.68564858, 0.11559882, -0.3007616 , 0.01091722, -1.01793123,\n",
" -0.04668242, 0.136249 , 0.27341311, -1.65484484, 0.09055898,\n",
" 1.48200569, 0.45785882, 0.4459455 , 0.14846279, 1.84017203,\n",
" 1.05349984, 1.29204124, 0.10212956, -2.51882166, 1.17062174,\n",
" -0.44771132, -0.93342153, 0.00570185, 2.40556188, -0.77453901,\n",
" 0.66017808, 0.64440044, -0.57974439, -0.70358591, -0.91256498,\n",
" 0.52750612, 0.2248227 , -0.50471824, -0.62510315, -0.25753937,\n",
" -0.11933973, 0.9110346 , 0.06135248, -0.02085503, 0.54536065,\n",
" 1.5261428 , -0.86068793, 0.26628651, 0.8725808 , 0.10768281,\n",
" -0.02945102, 1.08162492, 0.96757504, 0.8487286 , 0.40946741,\n",
" -0.02082662, -2.8380769 , 1.00451544, 0.33697275, -0.99442708,\n",
" 1.06901056, 1.17072805, -0.5387951 , 0.48246067, -0.39052061,\n",
" -1.28477645, -1.04858003, -0.88628018, -0.47541591, 0.50383958,\n",
" -0.70677023, -1.50609385, -0.60616037, -0.34665137, -1.8652387 ,\n",
" -0.19390395, -0.66607777, -1.00763511, 0.01564608, -0.91465297,\n",
" -2.83929432, -0.09720386, -0.07391387, -1.31838473, 0.75623635,\n",
" 0.85999741, 1.19046736, -0.54713802, 0.48442037, 0.14527973,\n",
" -0.93618386, 0.20301457, -0.67223971, 0.80744661, 0.87137894,\n",
" -0.73160779, 0.88953047, -0.76267675, -0.74691851, -0.88915534,\n",
" 1.40348052, -0.32213203, 0.85653684, 0.54061916, -0.06615145,\n",
" -0.06541276, -0.1874332 , 1.64653204, 0.27782626, -1.56029627,\n",
" 1.65082298, 0.67656205, -1.58084623, -0.43152429, 1.2077006 ,\n",
" -0.01064432, 0.39992249, 0.7204933 , -0.97893129, 0.3783936 ,\n",
" 1.42397314, 2.2570722 , 0.73192937, -0.6796615 , 0.79733617,\n",
" -1.22591839, -0.3439277 , 0.04718119, 1.01248675, -0.25599286,\n",
" -0.78884594, 0.40217221, 0.54593394, 0.77981857, 1.6034912 ,\n",
" -0.58348904, 0.23082941, -0.84446779, 0.0897946 , 0.32875383,\n",
" 0.5969846 , 0.2950068 , -1.85252387, 0.20742835, -1.99840818,\n",
" 1.13742464, 0.32724843, 0.80450174, 0.25135255, 0.6623171 ,\n",
" -0.92213262, -0.07474869, -1.32358274, -1.36633224, -0.17526807,\n",
" -1.49026666, -0.04415546, 0.51904066, -0.10048653, 0.10796533])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t1 = Sxy / Sxx\n",
"t0 = yMean - t1 * xMean\n",
"\n",
"yHat = t0 + t1 * x\n",
"residuals = y - yHat\n",
"residuals"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "1bbd0418",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"np.float64(0.9816858599892329)"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"R2 = r**2\n",
"R2"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "97695f62",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation r: 0.990800615658485\n",
"Intercept t0: 2.715728336655882\n",
"Slope t1: 4.987467248897177\n",
"R2: 0.9816858599892329\n"
]
}
],
"source": [
"print(\"Correlation r:\", r)\n",
"print(\"Intercept t0:\", t0)\n",
"print(\"Slope t1:\", t1)\n",
"print(\"R2:\", R2)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "765bfa69",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x, y, color='black', alpha=0.3)\n",
"plt.plot(x, yHat, ':r')\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Simple Linear Regression\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "5411bc06",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x, residuals, color=\"red\", alpha=0.3)\n",
"plt.axhline(0, color='black')\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"Residuals\")\n",
"plt.title(\"Residual Plot\")\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "e8e3850a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Correlation r: 0.999445617564577\n",
"Intercept b0: 0.15000000000000036\n",
"Slope b1: 1.9833333333333332\n",
"R²: 0.9988915424690386\n"
]
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = np.array([1, 2, 3, 4, 5, 6, 7, 8], dtype=float)\n",
"y = np.array([2.2, 4.1, 5.9, 8.3, 10.1, 12.0, 13.8, 16.2], dtype=float)\n",
"\n",
"x_mean = x.mean()\n",
"y_mean = y.mean()\n",
"\n",
"Sxx = np.sum((x - x_mean)**2)\n",
"Syy = np.sum((y - y_mean)**2)\n",
"Sxy = np.sum((x - x_mean) * (y - y_mean))\n",
"\n",
"r = Sxy / np.sqrt(Sxx * Syy)\n",
"\n",
"b1 = Sxy / Sxx\n",
"b0 = y_mean - b1 * x_mean\n",
"\n",
"y_hat = b0 + b1 * x\n",
"residuals = y - y_hat\n",
"\n",
"R2 = r**2\n",
"\n",
"print(\"Correlation r:\", r)\n",
"print(\"Intercept b0:\", b0)\n",
"print(\"Slope b1:\", b1)\n",
"print(\"R²:\", R2)\n",
"\n",
"plt.scatter(x, y)\n",
"plt.plot(x, y_hat)\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"y\")\n",
"plt.title(\"Simple Linear Regression\")\n",
"plt.show()\n",
"\n",
"plt.scatter(x, residuals)\n",
"plt.axhline(0)\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"Residuals\")\n",
"plt.title(\"Residual Plot\")\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": ".venv (3.14.3)",
"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": "3.14.3"
}
},
"nbformat": 4,
"nbformat_minor": 5
}