forgot to save

PW-4/pw4-linear-regression-stud.ipynb

@@ -18,7 +18,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 429,
+   "execution_count": 454,
    "id": "d6eb2aab",
    "metadata": {},
    "outputs": [],
@@ -48,7 +48,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 430,
+   "execution_count": 455,
    "id": "5f3f924f",
    "metadata": {},
    "outputs": [],
@@ -66,7 +66,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 431,
+   "execution_count": 456,
    "id": "5108e239",
    "metadata": {},
    "outputs": [],
@@ -84,7 +84,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 432,
+   "execution_count": 457,
    "id": "34222aff",
    "metadata": {},
    "outputs": [
@@ -158,7 +158,7 @@
        "4           33       1.5         830"
       ]
      },
-     "execution_count": 432,
+     "execution_count": 457,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -185,7 +185,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 433,
+   "execution_count": 458,
    "id": "ad07d4cd",
    "metadata": {},
    "outputs": [
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 434,
+   "execution_count": 459,
    "id": "ac0c9f07",
    "metadata": {},
    "outputs": [
@@ -253,7 +253,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 435,
+   "execution_count": 460,
    "id": "6d015af9",
    "metadata": {},
    "outputs": [
@@ -312,7 +312,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 436,
+   "execution_count": 461,
    "id": "19ffbbd9",
    "metadata": {},
    "outputs": [
@@ -375,7 +375,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 437,
+   "execution_count": 462,
    "id": "db65a2fa",
    "metadata": {},
    "outputs": [
@@ -442,7 +442,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 438,
+   "execution_count": 463,
    "id": "9ca79a3d",
    "metadata": {},
    "outputs": [
@@ -501,7 +501,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 439,
+   "execution_count": 464,
    "id": "5a34ad43",
    "metadata": {},
    "outputs": [
@@ -557,7 +557,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 440,
+   "execution_count": 465,
    "id": "e80c04b3",
    "metadata": {},
    "outputs": [
@@ -593,7 +593,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 441,
+   "execution_count": 466,
    "id": "5e594f32",
    "metadata": {},
    "outputs": [
@@ -645,7 +645,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 442,
+   "execution_count": 467,
    "id": "3f693388",
    "metadata": {},
    "outputs": [
@@ -653,13 +653,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Theta = [ 0.338377   28.68612806]\n",
-      "Cost = 144162.5602768206\n"
+      "Theta = [ 0.33101883 28.20026525]\n",
+      "Cost = 145028.5077448914\n"
      ]
     },
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -710,13 +710,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 443,
+   "execution_count": 468,
    "id": "f73c6af3",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -779,7 +779,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 444,
+   "execution_count": 469,
    "id": "dbcb6f22",
    "metadata": {},
    "outputs": [
@@ -787,8 +787,8 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Theta = [ 0.338377   28.68612806]\n",
-      "Cost = 144162.5602768206\n"
+      "Theta = [ 0.33101883 28.20026525]\n",
+      "Cost = 145028.5077448914\n"
      ]
     }
    ],
@@ -913,7 +913,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 445,
+   "execution_count": 470,
    "id": "8604ed56",
    "metadata": {},
    "outputs": [
@@ -922,13 +922,13 @@
      "output_type": "stream",
      "text": [
       "Stochastic : \n",
-      "Theta = [ 0.32518013 29.02018324]\n",
-      "Cost = 144715.36532107095\n"
+      "Theta = [ 0.31909445 28.77358351]\n",
+      "Cost = 144217.6608921882\n"
      ]
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -941,13 +941,13 @@
      "output_type": "stream",
      "text": [
       "batch of 1 : \n",
-      "Theta = [ 0.31051073 29.06744375]\n",
-      "Cost = 144869.2393588724\n"
+      "Theta = [ 0.30493246 27.72933782]\n",
+      "Cost = 147758.42400290794\n"
      ]
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -960,13 +960,13 @@
      "output_type": "stream",
      "text": [
       "batch of 10 : \n",
-      "Theta = [ 0.32754329 28.6711317 ]\n",
-      "Cost = 144160.22579802573\n"
+      "Theta = [ 0.32782064 28.84157514]\n",
+      "Cost = 144303.73303813871\n"
      ]
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -977,10 +977,10 @@
     {
      "data": {
       "text/plain": [
-       "array([ 0.32754329, 28.6711317 ])"
+       "array([ 0.32782064, 28.84157514])"
       ]
      },
-     "execution_count": 445,
+     "execution_count": 470,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1039,7 +1039,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 446,
+   "execution_count": 471,
    "id": "928deeaa",
    "metadata": {},
    "outputs": [
@@ -1047,13 +1047,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Theta = [2302.75644692 1057.56722311   65.54208244]\n",
-      "Cost = 133826.31478540495\n"
+      "Theta = [2301.42126052 1049.63985381   62.36135978]\n",
+      "Cost = 134038.2148043482\n"
      ]
     },
     {
      "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiMAAAGzCAYAAAD9pBdvAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjYsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvq6yFwwAAAAlwSFlzAAAPYQAAD2EBqD+naQAARptJREFUeJzt3Xl8VNX9//H3zCQzWSchhCQsYUcWWUWFAIoLmlK0UJciXy1oBZdCFbVa002ttbFVqtYqgv0JVIsgKtoiFSgIiESRTdkEWYNAAgjZIduc3x9JhgwkkAnJ3IS8no/HfTBz59y5n7kJyTvnnnuuzRhjBAAAYBG71QUAAICmjTACAAAsRRgBAACWIowAAABLEUYAAIClCCMAAMBShBEAAGApwggAALAUYQQAAFiKMAKgwWnfvr3uvPNOq8vwi81m05NPPml1GUCjRBgB6siuXbt07733qmPHjgoJCZHb7dbgwYP10ksv6cSJE3W+v4KCAj355JNavnx5nb93Q7N161Y9+eST2rt3r6V1LFy4kMAB1IMgqwsALgQfffSRbr31VrlcLo0dO1Y9e/ZUUVGRVq1apUcffVRbtmzR9OnT63SfBQUFeuqppyRJV111VZ2+t9W2b98uu/3U30pbt27VU089pauuukrt27e3rK6FCxfqlVdeqTKQnDhxQkFB/EgFaoP/OcB52rNnj2677Ta1a9dOy5YtU8uWLb2vTZw4UTt37tRHH31kYYUNT0lJiTwej5xOZ5Wvu1yugNSRn5+v8PDwOnmvkJCQOnkfoEkyAM7LfffdZySZzz77rEbti4uLzR/+8AfTsWNH43Q6Tbt27UxKSoo5efKkT7svv/zSXH/99aZ58+YmJCTEtG/f3tx1113GGGP27NljJJ2xPPHEE2fd965du8wtt9ximjVrZkJDQ82AAQPMggULvK9nZGQYh8NhnnzyyTO2/eabb4wk8/LLL3vXHT9+3Dz44IOmTZs2xul0mk6dOplnn33WlJaWettU1Prcc8+ZF154wXTs2NHY7XazYcOGauts166dGTdunDHGmBkzZlT5WT/55BNv+4ULF5ohQ4aYsLAwExERYX74wx+azZs3+7znuHHjTHh4uNm5c6cZPny4iYiIMCNHjjTGGLNy5Upzyy23mMTERON0Ok2bNm3M5MmTTUFBgc/2VdVRoarjv379evODH/zAREZGmvDwcHPNNdeYtLQ0nzYVn2/VqlXmoYceMrGxsSYsLMyMGjXKHD582Kft2b4ngMaMnhHgPP3nP/9Rx44dNWjQoBq1Hz9+vGbNmqVbbrlFjzzyiL744gulpqZq27Ztmj9/viTp8OHDuv7669WiRQs9/vjjio6O1t69e/X+++9Lklq0aKGpU6fq/vvv149//GPddNNNkqTevXtXu9/MzEwNGjRIBQUFeuCBB9S8eXPNmjVLP/rRj/Tuu+/qxz/+seLj4zV06FC98847euKJJ3y2nzt3rhwOh2699VZJZaeJhg4dqgMHDujee+9V27ZttXr1aqWkpOjQoUN68cUXfbafMWOGTp48qXvuuUcul0sxMTE1Ol5XXnmlHnjgAf3tb3/Tr3/9a3Xv3l2SvP+++eabGjdunJKTk/XnP/9ZBQUFmjp1qoYMGaINGzb4nNYpKSlRcnKyhgwZoueff15hYWGSpHnz5qmgoED333+/mjdvrjVr1ujll1/Wd999p3nz5kmS7r33Xh08eFBLlizRm2++ec66t2zZoiuuuEJut1uPPfaYgoODNW3aNF111VVasWKFBgwY4NP+F7/4hZo1a6YnnnhCe/fu1YsvvqhJkyZp7ty5ks79PQE0alanIaAxy87ONpK8f2Gfy8aNG40kM378eJ/1v/zlL40ks2zZMmOMMfPnzzeSzJdfflntex05cqRGvSEVJk+ebCSZTz/91LsuNzfXdOjQwbRv397bmzFt2jQjyWzatMln+x49ephrrrnG+/zpp5824eHhZseOHT7tHn/8ceNwOEx6erox5lTPiNvtPuMv/epU7hkxxph58+ad0RtSUX90dLSZMGGCz/qMjAwTFRXls76iZ+Pxxx8/Y3+Ve0AqpKamGpvNZvbt2+ddN3HiRFPdj83TvxajRo0yTqfT7Nq1y7vu4MGDJjIy0lx55ZXedRU9I8OGDTMej8e7/qGHHjIOh8NkZWUZY2r2PQE0VlxNA5yHnJwcSVJkZGSN2i9cuFCS9PDDD/usf+SRRyTJO7YkOjpakrRgwQIVFxfXRalauHChLr/8cg0ZMsS7LiIiQvfcc4/27t2rrVu3SpJuuukmBQUFef8il6TNmzdr69atGj16tHfdvHnzdMUVV6hZs2Y6evSodxk2bJhKS0u1cuVKn/3ffPPNatGiRZ18lgpLlixRVlaWxowZ41ODw+HQgAED9Mknn5yxzf3333/GutDQUO/j/Px8HT16VIMGDZIxRhs2bPC7rtLSUi1evFijRo1Sx44dvetbtmyp//u//9OqVau83zsV7rnnHtlsNu/zK664QqWlpdq3b5+k+vmeABqKRhVGVq5cqRtvvFGtWrWSzWbTBx984Pd7GGP0/PPP66KLLpLL5VLr1q31zDPP1H2xaBLcbrckKTc3t0bt9+3bJ7vdrs6dO/usT0hIUHR0tPcXz9ChQ3XzzTfrqaeeUmxsrEaOHKkZM2aosLCw1rXu27dPXbt2PWN9xemOin3Hxsbq2muv1TvvvONtM3fuXAUFBXlPB0nSt99+q48//lgtWrTwWYYNGyap7LRCZR06dKh17dX59ttvJUnXXHPNGXUsXrz4jBqCgoLUpk2bM94nPT1dd955p2JiYhQREaEWLVpo6NChkqTs7Gy/6zpy5IgKCgqqPd4ej0f79+/3Wd+2bVuf582aNZMkHT9+XFL9fE8ADUWjGjOSn5+vPn366Gc/+5nPD0V/PPjgg1q8eLGef/559erVS8eOHdOxY8fquFI0FW63W61atdLmzZv92q7yX8DVvf7uu+/q888/13/+8x8tWrRIP/vZzzRlyhR9/vnnioiIOJ+yz+m2227TXXfdpY0bN6pv37565513dO211yo2NtbbxuPx6LrrrtNjjz1W5XtcdNFFPs8r9z7UFY/HI6ls3EhCQsIZr59+qa3L5fK5ZFgq68W47rrrdOzYMf3qV79St27dFB4ergMHDujOO+/07qO+ORyOKtcbYyRZ/z0B1KdGFUaGDx+u4cOHV/t6YWGhfvOb3+jtt99WVlaWevbsqT//+c/eORi2bdumqVOnavPmzd6/WOrjrzU0LTfccIOmT5+utLQ0JSUlnbVtu3bt5PF49O2333p7JKSywaVZWVlq166dT/uBAwdq4MCBeuaZZzR79mzdfvvtmjNnjsaPH3/OQFPVvrdv337G+m+++cb7eoVRo0bp3nvv9Z6q2bFjh1JSUny269Spk/Ly8rw9IfWpus/aqVMnSVJcXFyt69i0aZN27NihWbNmaezYsd71S5YsqXEdp2vRooXCwsKqPd52u12JiYm1qvds3xNAY9WoTtOcy6RJk5SWlqY5c+bo66+/1q233qof/OAH3q7ciqseFixYoA4dOqh9+/YaP348PSM4L4899pjCw8M1fvx4ZWZmnvH6rl279NJLL0mSfvjDH0rSGVea/PWvf5UkjRgxQlJZ13zFX8QV+vbtK0nebvmKK0GysrJqVOcPf/hDrVmzRmlpad51+fn5mj59utq3b68ePXp410dHRys5OVnvvPOO5syZI6fTqVGjRvm8309+8hOlpaVp0aJFZ+wrKytLJSUlNaqrJirmAjn9syYnJ8vtdutPf/pTleMojhw5cs73ruiRqHy8jTHer1lN6qjqPa+//np9+OGHPrPGZmZmavbs2RoyZIj3FF9N1eR7AmisGlXPyNmkp6drxowZSk9PV6tWrSRJv/zlL/Xxxx9rxowZ+tOf/qTdu3dr3759mjdvnv75z3+qtLRUDz30kG655RYtW7bM4k+AxqpTp06aPXu2Ro8ere7du/vMwLp69WrNmzfPe5+VPn36aNy4cZo+fbqysrI0dOhQrVmzRrNmzdKoUaN09dVXS5JmzZqlV199VT/+8Y/VqVMn5ebm6vXXX5fb7fYGmtDQUPXo0UNz587VRRddpJiYGPXs2VM9e/asss7HH39cb7/9toYPH64HHnhAMTExmjVrlvbs2aP33nvvjNMXo0eP1h133KFXX31VycnJ3gGUFR599FH9+9//1g033KA777xT/fv3V35+vjZt2qR3331Xe/fu9Tmtcz769u0rh8OhP//5z8rOzpbL5dI111yjuLg4TZ06VT/96U91ySWX6LbbblOLFi2Unp6ujz76SIMHD9bf//73s753t27d1KlTJ/3yl7/UgQMH5Ha79d5773nHalTWv39/SdIDDzyg5ORkORwO3XbbbVW+7x//+EctWbJEQ4YM0c9//nMFBQVp2rRpKiws1F/+8he/j0FNvieARsvCK3nOiyQzf/587/MFCxYYSSY8PNxnCQoKMj/5yU+MMcZMmDDBSDLbt2/3brdu3TojyXzzzTeB/gi4wOzYscNMmDDBtG/f3jidThMZGWkGDx5sXn75ZZ8JzYqLi81TTz1lOnToYIKDg01iYuIZk56tX7/ejBkzxrRt29a4XC4TFxdnbrjhBrN27Vqffa5evdr079/fOJ1OvyY9i46ONiEhIebyyy/3mfSsspycHBMaGmokmbfeeqvKNrm5uSYlJcV07tzZOJ1OExsbawYNGmSef/55U1RUZIzxnfSspk6/tNcYY15//XXTsWNH43A4zrjM95NPPjHJyckmKirKhISEmE6dOpk777zT53hVTHpWla1bt5phw4aZiIgIExsbayZMmGC++uorI8nMmDHD266kpMT84he/MC1atDA2m61Gk54lJyebiIgIExYWZq6++mqzevVqnzYVl/aefsnuJ5984vM5a/o9ATRGNmNO6/drJGw2m+bPn+/tOp4Line truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1063,7 +1063,7 @@
     },
     {
      "data": {
-      "image/png": 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truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1149,7 +1149,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
+   "execution_count": 472,
    "id": "dcfa5986",
    "metadata": {},
    "outputs": [
@@ -1157,13 +1157,13 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Theta = [ 1.05482247  0.33405956 28.44182263]\n",
-      "Cost = 144284.47491785986\n"
+      "Theta = [ 1.06588497  0.32970238 28.86894189]\n",
+      "Cost = 144422.06094103807\n"
      ]
     },
     {
      "data": {
-      "image/png": "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 truncated
+      "image/png": "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 truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1173,17 +1173,7 @@
     },
     {
      "data": {
-      "image/png": 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truncated
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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truncated
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truncated
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]