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plt.title(f)\n","plt.show()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":430},"id":"qkiZNoZpvFjJ","executionInfo":{"status":"ok","timestamp":1749847024686,"user_tz":-330,"elapsed":951,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"f879c208-76aa-4a45-e8da-4204dd52a918"},"execution_count":276,"outputs":[{"output_type":"display_data","data":{"text/plain":["

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\n"},"metadata":{}}]},{"cell_type":"code","source":["#Train Test Split\n","XT, Xt, yT, yt = train_test_split(X,y,test_size=0.3,random_state=0,shuffle=False)"],"metadata":{"id":"TqY3eMHVwxgo","executionInfo":{"status":"ok","timestamp":1749847024698,"user_tz":-330,"elapsed":9,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}}},"execution_count":277,"outputs":[]},{"cell_type":"code","source":["print(XT.shape,yT.shape)\n","print(Xt.shape,yt.shape)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"P-ArwbCTxhDv","executionInfo":{"status":"ok","timestamp":1749847024716,"user_tz":-330,"elapsed":14,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"b0f8b12a-e651-4e9e-f912-5f03a540dc19"},"execution_count":278,"outputs":[{"output_type":"stream","name":"stdout","text":["(350, 10) (350,)\n","(150, 10) (150,)\n"]}]},{"cell_type":"code","source":["def preprocess(X):\n"," if X.shape[1] == n_features:\n"," m=X.shape[0]\n"," ones = np.ones((m,1))\n"," X = np.hstack((ones,X))\n"," return X"],"metadata":{"id":"wNTH7LR70xFo","executionInfo":{"status":"ok","timestamp":1749847024774,"user_tz":-330,"elapsed":36,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}}},"execution_count":279,"outputs":[]},{"cell_type":"code","source":["def hypothesis(X,theta):\n"," return np.dot(X,theta) #Fast/Vectorized--->faster than loops\n","\n","def loss(X,y,theta):\n"," yp = hypothesis(X,theta)\n"," error = np.mean((y-yp)**2)\n"," return error\n","\n","def gradient(X,y,theta):\n"," yp = hypothesis(X,theta)\n"," grad = np.dot(X.T,(yp-y))\n"," m = X.shape[0]\n"," return grad/m\n","\n","def train(X,y,learning_rate=0.1,max_Itrs=100):\n"," n = X.shape[1]\n"," theta = np.random.randn(n)\n"," error_list=[]\n"," for i in range(max_Itrs):\n"," e = loss(X,y,theta)\n"," error_list.append(e)\n"," grad = gradient(X,y,theta)\n"," theta = theta - learning_rate*grad\n","\n"," plt.plot(error_list)\n"," plt.show()\n"," return theta"],"metadata":{"id":"N3tReRb9x8hH","executionInfo":{"status":"ok","timestamp":1749847024783,"user_tz":-330,"elapsed":4,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}}},"execution_count":280,"outputs":[]},{"cell_type":"code","source":["theta = train(XT,yT)\n","print(theta)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":482},"id":"WRuYNFwF4Ug-","executionInfo":{"status":"ok","timestamp":1749847025005,"user_tz":-330,"elapsed":206,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"682855ba-9951-4739-b30b-f6da668e3ed4"},"execution_count":281,"outputs":[{"output_type":"display_data","data":{"text/plain":["

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GjdunJYsWaL3339fe/fu1TPPPKPc3Fx7m6KiIg0bNkxz585VZWWlPvroI82fP18jR45Ujx49JElXXXWVfD6fnnvuOVVXV2vdunVauXJlxOGomNM9fP8qQg4AANHm+OGqyZMn6+WXX9a8efNUX1+vHj166J/+6Z90880329tMnDhRLS0tmjt3rpqamjR48GA9/PDDSk1Ntbd58MEHVV5erkcffdS+GODkyZPt9RkZGZoxY4bKy8s1ffp0de/eXTfddJOuvfZap7+Sc7L9krh/FQAAbjAWByBVW1sbcWp5ZxljVFhYqIMHD0Ycc7Q2/beCv/m51L9UyQ//0rHP68o+r9dwHr12D712F/12j1O9TklJOauJx9y7yk3cvwoAANcQctzExGMAAFxDyHFTeCSn5bislhZPSwEAINERctzULV0K34aigdEcAACiiZDjImMM83IAAHAJIcdtXCsHAABXEHLc1jH52DpKyAEAIJoIOS4z4cNVzMkBACCqCDluC59GzkgOAABRRchxGxOPAQBwBSHHbdmhicfcvwoAgOgi5LjMZHF2FQAAbiDkuC2bkAMAgBsIOW7LOnn/Ku52CwBA9BBy3JbtDz22npBajntaCgAAiYyQ4zKT1k1KTQ294JAVAABRQ8jxAqeRAwAQdYQcL3D/KgAAoo6Q44WOkGMdDXhbBwAACYyQ4wETHslpOOptIQAAJDBCjhe4fxUAAFFHyPECdyIHACDqCDlesOfkEHIAAIgWQo4H7Dk5xwKe1gEAQCIj5HjBvn8VE48BAIgWQo4XTrkTOfevAgAgOgg5XgifXdXeJjU3eVsLAAAJipDjAZOaJqWlh15w1WMAAKKCkOOVbCYfAwAQTYQcr2T7Q4/c2gEAgKgg5Hglp4ckyao74nEhAAAkJkKOR0xuz9CTwKfeFgIAQIIi5HjFHxrJIeQAABAdhByv+EMjOVYdIQcAgGgg5HjE5OaFnhByAACICkKOV3JPHq7iqscAADiPkOOVjsNVOtEiNTd6WwsAAAmIkOMRk5omZWSFXnAaOQAAjiPkeInTyAEAiBpCjpc6TiO3CDkAADiOkOMhE56XwxlWAAA4jpDjJQ5XAQAQNYQcL4UvCBhg4jEAAE4j5HiIw1UAAEQPIcdL4cNVdYe9rQMAgAREyPFSOOQcq5fV1uptLQAAJBhCjpeysiWfL/S8vs7bWgAASDCEHA8ZY6ScjntYMS8HAABHEXK8xmnkAABEBSHHY8Y+jZyQAwCAkwg5XrNPI+daOQAAOImQ47Xcjjk5jOQAAOAoXzR2euTIES1atEibNm1SS0uLCgoKNG3aNA0cOFCSZFmWFi9erDVr1qixsVGDBw/WlClTVFhYaO+joaFB8+fP18aNG2WM0RVXXKF77rlH3bp1s7f55JNPVF5erl27dik7O1tjx47VxIkTo/GVoofDVQAARIXjIaehoUGPPPKILr74Yj388MPKzs7WwYMHlZmZaW+zfPlyrVy5Uvfff7/y8/P18ssva/bs2frVr36l1NRUSdLTTz+turo6zZgxQ+3t7Xr22Wc1d+5cff/735ckNTU1adasWRoyZIimTp2qvXv36re//a0yMzN17bXXOv21osbk5smSOLsKAACHOX64avny5erZs6emTZumkpIS5efnq6ysTAUFBZJCozgrVqzQjTfeqBEjRqhfv3564IEHVFdXp/fee0+StG/fPm3atEn33XefBg0apMGDB2vy5Mlat26djhwJzV1Zu3at2traNG3aNPXp00ejRo3S9ddfr9dee83prxRd/vDhqiOyLMvbWgAASCCOj+S8//77Kisr069+9Stt375dPXr00De/+U17dKWmpkaBQEBDhw6135ORkaGSkhJVVFRo1KhRqqioUGZmpn14S5KGDBkiY4wqKyt1+eWXq6KiQhdddJF8vpNfoaysTMuXL1dDQ4OysrJOq621tVWtrSevLGyMUXp6uv3cKeF9ndU+c/M6ijsh09Qgk5XtWB1dwTn1Gp1Cr91Dr91Fv93jdq8dDzk1NTVavXq1xo8fr0mTJmnXrl16/vnn5fP5NGbMGAUCAUlSTk5OxPtycnLsdYFAQNnZkX/ZJycnKysrK2Kb/Pz8iG38fr+97kwhZ+nSpXrllVfs1/3799ecOXPUq1evTnzjzxcevfoy+7P9Ch4NKM+XpNRT5iXh7J1tr9F59No99Npd9Ns9bvXa8ZATDAY1cOBA3X777ZJCQWLv3r1avXq1xowZ4/THnZNJkyZpwoQJ9utwkqytrVVbW5tjn2OMUUFBgQ4dOnRWh6CCObnS0YBqP/5ISd1OD2f4fOfaa5w/eu0eeu0u+u0ep3rt8/nOaoDC8ZCTm5uroqKiiGVFRUV69913JZ0cbamvr1dubq69TX19vYqLi+1tjh49GrGP9vZ2NTQ02O/3+/32qE5Y+HV4m89KSUlRSkrKGddF4xe2ZVlnt19/T6l6t6y6T/kNdp7OutfoNHrtHnrtLvrtHrd67fjE4wsvvFAHDhyIWHbgwAE7ceXn58vv92vLli32+qamJlVWVqq0tFSSVFpaqsbGRlVVVdnbbN26VZZlqaSkxN5mx44dESMwmzdvVu/evc94qCqWGT/3rwIAwGmOh5zx48fr448/1pIlS3To0CGtXbtWa9as0XXXXScpNFQ1btw4LVmyRO+//7727t2rZ555Rrm5uRoxYoSk0MjPsGHDNHfuXFVWVuqjjz7S/PnzNXLkSPXoEQoEV111lXw+n5577jlVV1dr3bp1WrlyZcThqLjh5/5VAAA4zfHDVSUlJfrRj36kF198UX/4wx+Un5+vu+++W1/72tfsbSZOnKiWlhbNnTtXTU1NGjx4sB5++GH7GjmS9OCDD6q8vFyPPvqofTHAyZMn2+szMjI0Y8YMlZeXa/r06erevbtuuummuLpGji03fEFAbu0AAIBTjMUBSNXW1kacWt5ZxhgVFhbq4MGDZ3XM0dqyUcGnZ0pF/ZX8s187VkdXcK69xvmj1+6h1+6i3+5xqtcpKSlnNfGYe1fFglwOVwEA4DRCTiwIh5yGo7IcHFECAKArI+TEgowsKaVjPhKjOQAAOIKQEwOMMSfvYcVp5AAAOIKQEyvsM6wIOQAAOIGQEyMM18oBAMBRhJxYEQ45dVwrBwAAJxByYkVux5wcRnIAAHAEISdGhA9XMScHAABnEHJiRW5e6PFIrbd1AACQIAg5saLXP4Qe6z6V1cYFAQEA6CxCTqzo7pdS0yTLkj5lNAcAgM4i5MQIY4zUqyD0ovaQt8UAAJAACDmxJC90yMo6TMgBAKCzCDkxxNgjOX/3thAAABIAISeW5IVCDiM5AAB0HiEnhpjwGVbMyQEAoNMIObEkfLjq8N9lWZa3tQAAEOcIObGkZ37osblJajzmbS0AAMQ5Qk4MMalpkr/jHlZMPgYAoFMIObGGyccAADiCkBNjmHwMAIAzCDmxJu/k5GMAAHD+CDmxpuMMK4uRHAAAOoWQE2M4XAUAgDMIObEmfLjqyGFZbW3e1gIAQBwj5MSanFwpJVWygtKRWq+rAQAgbhFyYowxxr4buTiNHACA80bIiUXhycecYQUAwHkj5MQgE76HFVc9BgDgvBFyYlEeZ1gBANBZhJwYZDhcBQBApxFyYlH4NHJGcgAAOG+EnFgUPlzV1CCrscHbWgAAiFOEnBhk0tJC18uRuIcVAADniZATq7hWDgAAnULIiVGGG3UCANAphJxYlce1cgAA6AxCTqzquBu5xeEqAADOCyEnRhlOIwcAoFMIObEqfGuHI7Wy2tu9rQUAgDhEyIlVObmSL0Vqb5fqDntdDQAAcYeQE6NMUhL3sAIAoBMIObHMPo38oMeFAAAQfwg5McwUXBB6cnCft4UAABCHCDmxrLCPJMk6sNfjQgAAiD+EnBhmevcNPSHkAABwzgg5saxjJEeBI7KauBs5AADngpATw0xGppSbF3pxoNrbYgAAiDOEnFjXm3k5AACcD0JOjDOFHfNyDjKSAwDAuSDkxDpGcgAAOC++aH/AsmXL9OKLL2rcuHH6zne+I0k6ceKEFi5cqHXr1qm1tVVlZWWaMmWK/H6//b7Dhw/rd7/7nbZt26Zu3bpp9OjRuv3225WcnGxvs23bNi1cuFDV1dXq2bOnbrrpJo0ZMybaX8lVpndfWRJnWAEAcI6iOpJTWVmp1atXq1+/fhHLX3jhBW3cuFE//OEPNXPmTNXV1enJJ5+01weDQT322GNqa2vTrFmzdP/99+svf/mLXn75ZXubmpoaPf7447r44ov1xBNPaPz48Xruuee0adOmaH4l93GGFQAA5yVqIef48eP6j//4D/3zP/+zMjMz7eVNTU3605/+pLvvvluXXHKJBgwYoGnTpmnnzp2qqKiQJH344Yfat2+fvve976m4uFjDhw/XrbfeqjfeeENtbW2SpDfffFP5+fm66667VFRUpLFjx+rKK6/U66+/Hq2v5AnOsAIA4PxE7XDVvHnzNHz4cA0dOlRLliyxl1dVVam9vV1Dhgyxl11wwQXKy8tTRUWFSktLVVFRob59+0Ycvho2bJjmzZun6upq9e/fXx9//HHEPiSprKxMCxYs+NyaWltb1draar82xig9Pd1+7pTwvpzap+ndR1bdYelgtcygf3Rkn4nC6V7j89Fr99Brd9Fv97jd66iEnHfeeUe7d+/WY489dtq6QCAgn88XMbojSTk5OQoEAvY2pwac8PrwuvBjeNmp2zQ3N+vEiRNKTU097bOXLl2qV155xX7dv39/zZkzR7169TrXr3hWCgoKHNlP3aCL1LDtb8qo/1S5hYWO7DPRONVrfDl67R567S767R63eu14yDl8+LAWLFigGTNmnDFoeGnSpEmaMGGC/TqcJGtra+3DYE4wxqigoECHDh2SZVmd3l8wu4ckqfHjHTp+kDuSn8rpXuPz0Wv30Gt30W/3ONVrn893VgMUjoecqqoq1dfX66GHHrKXBYNB7dixQ6tWrdJPfvITtbW1qbGxMWI0p76+3h698fv9qqysjNhvfX29vS78GF526jbp6emfG65SUlKUkpJyxnXR+IVtWZYz++24h5V1oJrfgJ/DsV7jS9Fr99Brd9Fv97jVa8dDzpAhQ/TLX/4yYtlvf/tb9e7dWxMnTlReXp6Sk5O1ZcsWXXnllZKkAwcO6PDhwyotLZUklZaWasmSJaqvr7cPSW3evFnp6ekqKiqSJA0aNEh/+9vfIj5n8+bN9j4SSmHoOyvwqaymBpmMLG/rAQAgDjh+dlV6err69u0b8ZOWlqbu3burb9++ysjI0DXXXKOFCxdq69atqqqq0rPPPqvS0lI7oJSVlamoqEjPPPOM9uzZo02bNumll17SddddZ4/EfPOb31RNTY0WLVqk/fv364033tD69es1fvx4p7+S50xGluTvGXrBGVYAAJyVqF8M8EzuvvtuGWP05JNPqq2tzb4YYFhSUpKmT5+uefPmacaMGUpLS9Po0aN166232tvk5+dr+vTpeuGFF7RixQr17NlT9913n4YNG+bBN3JB776hkZyD1TIlF3ldDQAAMc9YHIBUbW1txKnlnWWMUWFhoQ4ePOjYMcfgy/NkvfWqzLXfUtKtU778DV1ENHqNM6PX7qHX7qLf7nGq1ykpKWc18Zh7V8ULe/Ixt3cAAOBsEHLihAnf3oE5OQAAnBVCTrzoHb6H1afcwwoAgLNAyIkTEWdYHdznbTEAAMQBQk486RjNYV4OAABfjpATR0zH5GMRcgAA+FKEnHhSGB7JYfIxAABfhpATRxjJAQDg7BFy4skF/SRjQmdYHQ14XQ0AADGNkBNHTHqG9A8XhF7s+djbYgAAiHGEnDhj+g+SJFm7CTkAAHwRQk68Ke4IOYzkAADwhQg5ccb0Lw092VPBjeQAAPgChJx4U9RfSvZJDcekw3/3uhoAAGIWISfOmJQUqahYkmTtqfS2GAAAYhghJw6FJx9rT4W3hQAAEMMIOfGIyccAAHwpQk4cMsUdk48/2SUr2O5tMQAAxChCTjwqvEBK6ya1HJcO7vO6GgAAYhIhJw6ZpGSp30BJHLICAODzEHLilH3IipADAMAZEXLiVTG3dwAA4IsQcuKUfRr5vj2yWlu9LQYAgBhEyIlXPfOlrGypvU3at9vragAAiDmEnDhljDnlkBUXBQQA4LMIOXHs5JWPmZcDAMBnEXLimGHyMQAAn4uQE886Qo7+vl9Wc5O3tQAAEGMIOXHMZPtDE5AtS/qEO5IDAHAqQk6cM0w+BgDgjAg58a7kIkmStXOLx4UAABBbCDlxzgweGnry8XZZbVwUEACAMEJOvLugn9Q9RzrRIlXt9LoaAABiBiEnzhlj7NEca8dmj6sBACB2EHISwUVlkiTrow89LgQAgNhByEkA9ryc3RWyjjd7WwwAADGCkJMATK+C0PVy2tulj7d7XQ4AADGBkJMgDIesAACIQMhJFPbkY0IOAAASISdhmIs65uVU75Z17Ki3xQAAEAMIOQnCZOeGrpkjSTs5lRwAAEJOAuF6OQAAnETISSB2yPmIkAMAACEnkZReIpkkqeaArCO1XlcDAICnCDkJxGRkSsUlkjhkBQAAISfBhK+XI66XAwDo4gg5CebUyceWZXlcDQAA3iHkJJqSi6TUVKn+iFRd5XU1AAB4hpCTYExKqnTJZZIka+M6j6sBAMA7hJwEZC4dKSkUcjhkBQDoqgg5CcgMHSH5UqS/75cO7PW6HAAAPEHISUAmPUO6eLgkydr4jsfVAADgDZ/TO1y6dKk2bNig/fv3KzU1VaWlpbrzzjvVu3dve5sTJ05o4cKFWrdunVpbW1VWVqYpU6bI7/fb2xw+fFi/+93vtG3bNnXr1k2jR4/W7bffruTkZHubbdu2aeHChaqurlbPnj110003acyYMU5/pbhkLh0p68MNoXk537rd63IAAHCd4yM527dv13XXXafZs2drxowZam9v16xZs3T8+HF7mxdeeEEbN27UD3/4Q82cOVN1dXV68skn7fXBYFCPPfaY2traNGvWLN1///36y1/+opdfftnepqamRo8//rguvvhiPfHEExo/fryee+45bdq0yemvFJdM2eVSsk86sFfWwX1elwMAgOscDzk/+clPNGbMGPXp00fFxcW6//77dfjwYVVVhU5nbmpq0p/+9CfdfffduuSSSzRgwABNmzZNO3fuVEVFhSTpww8/1L59+/S9731PxcXFGj58uG699Va98cYbamtrkyS9+eabys/P11133aWioiKNHTtWV155pV5//XWnv1JcMplZ0kUd18z5gLOsAABdj+OHqz6rqalJkpSVlSVJqqqqUnt7u4YMGWJvc8EFFygvL08VFRUqLS1VRUWF+vbtG3H4atiwYZo3b56qq6vVv39/ffzxxxH7kKSysjItWLDgc2tpbW1Va2ur/doYo/T0dPu5U8L7cnKf5yPpslEKbv1A1sZ1MhNu9bSWaImVXncF9No99Npd9Ns9bvc6qiEnGAxqwYIFuvDCC9W3b19JUiAQkM/nU2ZmZsS2OTk5CgQC9janBpzw+vC68GN42anbNDc368SJE0pNTT2tnqVLl+qVV16xX/fv319z5sxRr169OvM1P1dBQUFU9nu22q+bqAP/51mpukq91C5fYZGn9UST173uSui1e+i1u+i3e9zqdVRDTnl5uaqrq/Xoo49G82PO2qRJkzRhwgT7dThJ1tbW2ofBnGCMUUFBgQ4dOuT5dWrMhUNk7dikv69cpqTrb/K0lmiIpV4nOnrtHnrtLvrtHqd67fP5zmqAImohp7y8XB988IFmzpypnj172sv9fr/a2trU2NgYMZpTX19vj974/X5VVlZG7K++vt5eF34MLzt1m/T09DOO4khSSkqKUlJSzrguGr+wLcvy/jfMpV+VdmxScOM7MmNv9LaWKIqJXncR9No99Npd9Ns9bvXa8YnHlmWpvLxcGzZs0E9/+lPl5+dHrB8wYICSk5O1ZcsWe9mBAwd0+PBhlZaWSpJKS0u1d+/eiBCzefNmpaenq6godMhl0KBBEfsIbxPeB0LMpVdKxkh7Ppb1aY3X5QAA4BrHQ055ebnefvttff/731d6eroCgYACgYBOnDghScrIyNA111yjhQsXauvWraqqqtKzzz6r0tJSO6CUlZWpqKhIzzzzjPbs2aNNmzbppZde0nXXXWePxHzzm99UTU2NFi1apP379+uNN97Q+vXrNX78eKe/Ulwz2bnSoIslcS8rAEDXYiyHx4u+/e1vn3H5tGnT7Av1hS8G+M4776itre2MFwOsra3VvHnztG3bNqWlpWn06NG64447TrsY4AsvvKB9+/Z16mKAtbW1EWdddZYxRoWFhTp48GBMDH0G//y6rBfnShf0U9LPnk6oMwhirdeJjF67h167i367x6lep6SknNWcHMdDTjxK9JBjNTUo+C/fkU6cUNJDj8uU/KPXJTkm1nqdyOi1e+i1u+i3e9wOOdy7qgswGVkyI74uSbL+stLjagAAcAchp4swY66XFLphp3Ws/os3BgAgARByughTPEjqVyK1tclat8brcgAAiDpCThdiRo+VJFl/XSUrGPS4GgAAoouQ04WYy78upWdKtYek7Zu8LgcAgKgi5HQhJq2bzMhrJEnBv67yuBoAAKKLkNPFmK9fF3ry4QZZRw57WwwAAFFEyOliTO++UuklkhWUtfZNr8sBACBqCDldkH06+dtvynLw7usAAMQSQk4XZIZfKWX7pcARWe/+xetyAACICkJOF2R8KTLXTZIkWX98SVabc7e0AAAgVhByuigzepyUkyt9WiPrHS4OCABIPIScLsqkpclcf7MkyXp9sazWEx5XBACAswg5XZj5+nVSbp5Ud1jW25xpBQBILIScLsykpMqMu0WSZK14RdaJFo8rAgDAOYScLs5cda3UM1+qPyLrLyu9LgcAAMcQcro440uRGf9tSZK16g+yjjd7XBEAAM4g5EDmq9dIvQqkY/Wy/vSa1+UAAOAIQg5kfD6Zb/0/kiRrxe9lHf67xxUBANB5hBxIkszlo6XSi6WW4wr+39/KsiyvSwIAoFMIOZAkmaQkJf2/90u+FGnrB7I2/JfXJQEA0CmEHNhMQZHMhFslSdZLv5N17KjHFQEAcP4IOYhgrpskXdBPajgq6/flXpcDAMB5I+QggvGlKOmuByRjZK3/s6xtf/O6JAAAzgshB6cxAy6UuWaCJCn4f37DtXMAAHGJkIMzMjfcIfXoFbpL+Qv/wdlWAIC4Q8jBGZluGUqa8v9Jycmy3l8r682lXpcEAMA5IeTgc5lB/yhz61RJkvWHhbK2Mz8HABA/CDn4QmbM9TKjviFZQQX/85eyag95XRIAAGeFkIMvZIyRueN/SsWDpMZjCj77mKyWFq/LAgDgSxFy8KVMSqqS/ud0qXuOtG+3gs8/Jau93euyAAD4QoQcnBXTo5eS7ntISk6WNq6TNZ+gAwCIbYQcnDVTeomS/jkUdKwN/yXr+X+XFSToAABiEyEH58QMv1JJ3/1xKOi8+1dZz/+aoAMAiEmEHJwzc+lXlfTdf5GSkmT9919kPf80QQcAEHMIOTgv5tKRoRGdpCRZ//1nBZ9+VFZjg9dlAQBgI+TgvJnLRobm6KSmStv+puDsH8rav9frsgAAkETIQSeZS7+qpIeekHrmS7WHFHzsX2R9sN7rsgAAIOSg80zfAUr6ya+kC4dILc0K/vYxBZcslNXa6nVpAIAujJADR5ju2Ur6XzNlvvE/JEnWylcU/N//S9aujzyuDADQVRFy4Bjj8ynptqmhiwZ2z5EOVis45yEFX54nq+W41+UBALoYQg4cZy4bpaRHfyPz1asly5L11qsK/uwBWe+vlRUMel0eAKCLIOQgKkxWtpIm/0BJ3/+Z1KOX9GmNgnOfUHDWD2Rtfk+WZXldIgAgwRFyEFXmksuUNPMZmf9xm9QtXarereB//G8F5zwka/vfCDsAgKjxeV0AEp/pli7zrdtlXT1B1ht/kPXn16VdHyn41M+kgiKZMeNkvnq1TEam16UCABIIIzlwjemeraSb71HS7P8MnYWVli4d2ifrpf9U8Mf3KLjoWVm7PmJ0BwDgCEZy4Drj7yFz21RZE++Q9d9/lvXnFdLBall/XSXrr6ukHr1kvjJK5itXScWDZIzxumQAQBwi5MAzJj1D5urxssaMk3ZukfX2alkfbpCO1Mp6c5msN5dJPfJkLhom/eMwmYvKZLrneF02ACBOEHLgOWOMNHiozOChsk60SFs/kLXxnY7Ac1jWO29J77wlS5L6DpAZdLHUv1RmwIVSrwKvywcAxChCDmKKSU2TLv2qzKVfDQWeim2ydmyStX2TtG+PtLdK1t4qSQqFnu45qh08RO29CqXefWUu6CcVXCDjS/HwWwAAYgEhBzHLpKZJl1wqc8mlkiSrvk7WR5ulqp2yqnZK1bulY/U6/t5a+z2WJCUnh0Z4ehXK/ENvKb9QpldB6Ho9PfJkumV484UAAK4i5CBumJxcmStGS1eMliRZrSdkqnere12N6ndskbVvj3Rgr9TcJB3aLx3aL2tL6L0R52ulZ0o98iR/D5lsv5SdK2X7pWy/TFZ3KTNbyuouZXaX0jOY+AwAcSruQ86qVav0xz/+UYFAQP369dPkyZNVUlLidVlwgUlJlRk4WN0Lr1bDV74uy7JCp58fOSzVHJBVc/DkY+0hqe6w1NQoNTdK+xul/Z/osyern3byelKS1C1DysiU0jNCAalbuky3dCmtW+gCh2npUmpax0+qlJomk5IqpaRKKSknH5NTpBSf5EuRfL7Qa58vNPKU7CNMAYDD4jrkrFu3TgsXLtTUqVM1aNAgvf7665o9e7b+/d//XTk5nIXTFRljpJ69pJ69ZC4qO229dbxJqvs0NKG5/ohUH5CO1klHA7Lq66TGY1LDsdBj6wkpGJSaGkI/p+7nS+o4ryv9JCdLSR0/ycmnvE4K/SR3PDdJJ5clJUvGdCw3Hes6Ho2JXCZzyrLP/Mh0/HfqMp1c1/H804x0tR8/9Warp26riG0jHk9lLzvTus/b9gs2OmM2PIvA6FSojFI4rcvMVHtjY1T2jc8w5mS/uU6X48zEO2TSvZkmENch57XXXtM3vvENXX311ZKkqVOn6oMPPtCf//xn3XDDDd4Wh5hkumVIhRlSYZ8v/WvQammRmhs6Rn+apOZGWU2NUstxqaVZOn5cOt4cet3aIp04EZos3XI8FJBaW0OPbeHHttDzttbQ889qbw/9eOjL/nhvcqUKSFLDl28CB9Hv6DHX3xwaCfdA3IactrY2VVVVRYSZpKQkDRkyRBUVFWd8T2trq1pbW+3Xxhilp6fbz50S3heHH6Ivmr023bpJ3bpJuXmO79uyrI5Q09bx0x4KPsH2U5a3h0aSgsHQ8o5Hy17W8WMFQ//6DD8PBkNpJbzcCkpBS5L1meUdy05dJ+vkOnsbu2p1z+quY8eOduyn430nv9Rnv+SZl3/esvC+7Ld9wTZfxKl/ibv5L/rPfJYxRpmZmWpsbOQK4C6g39FlunU77c9qt/5+jNuQc/ToUQWDQfn9/ojlfr9fBw4cOON7li5dqldeecV+3b9/f82ZM0e9evWKSo0FBVzDxS302j3ZXhfQhfi9LqCL8XtdQBfi1p/ZcRtyzsekSZM0YcIE+3U4SdbW1qrtTIcPzpMxRgUFBTp06BD/Kogyeu0eeu0eeu0u+u0ep3rt8/nOaoAibkNOdna2kpKSFAgEIpYHAoHTRnfCUlJSlJJy5ovEReMXtn22D6KOXruHXruHXruLfrvHrV7H7V3IfT6fBgwYoK1bt9rLgsGgtm7dqtLSUg8rAwAAsSBuR3IkacKECfrNb36jAQMGqKSkRCtWrFBLS4vGjBnjdWkAAMBjcR1yRo4cqaNHj2rx4sUKBAIqLi7Www8//LmHqwAAQNcR1yFHksaOHauxY8d6XQYAAIgxcTsnBwAA4IsQcgAAQEIi5AAAgIREyAEAAAmJkAMAABISIQcAACQkQg4AAEhIcX+dHCf4fNFpQ7T2i9PRa/fQa/fQa3fRb/d0ttdn+35jcTcyAACQgDhcFQXNzc166KGH1Nzc7HUpCY9eu4deu4deu4t+u8ftXhNyosCyLO3evduV28h3dfTaPfTaPfTaXfTbPW73mpADAAASEiEHAAAkJEJOFKSkpOjmm29WSkqK16UkPHrtHnrtHnrtLvrtHrd7zdlVAAAgITGSAwAAEhIhBwAAJCRCDgAASEiEHAAAkJC4UUcUrFq1Sn/84x8VCATUr18/TZ48WSUlJV6XFbeWLl2qDRs2aP/+/UpNTVVpaanuvPNO9e7d297mxIkTWrhwodatW6fW1laVlZVpypQp8vv93hWeAJYtW6YXX3xR48aN03e+8x1J9NppR44c0aJFi7Rp0ya1tLSooKBA06ZN08CBAyWFLp62ePFirVmzRo2NjRo8eLCmTJmiwsJCjyuPL8FgUIsXL9bbb7+tQCCgHj16aPTo0brppptkjJFEr8/X9u3b9eqrr2r37t2qq6vTj370I11++eX2+rPpa0NDg+bPn6+NGzfKGKMrrrhC99xzj7p169ap2hjJcdi6deu0cOFC3XzzzZozZ4769eun2bNnq76+3uvS4tb27dt13XXXafbs2ZoxY4ba29s1a9YsHT9+3N7mhRde0MaNG/XDH/5QM2fOVF1dnZ588kkPq45/lZWVWr16tfr16xexnF47p6GhQY888oh8Pp8efvhhPfXUU7rrrruUmZlpb7N8+XKtXLlSU6dO1c9//nOlpaVp9uzZOnHihIeVx59ly5Zp9erVuvfee/XUU0/pjjvu0KuvvqqVK1fa29Dr89PS0qLi4mLde++9Z1x/Nn19+umnVV1drRkzZmj69OnasWOH5s6d2/niLDjqX//1X6158+bZr9vb263vfve71tKlS70rKsHU19dbt9xyi7Vt2zbLsiyrsbHRuu2226z169fb2+zbt8+65ZZbrJ07d3pVZlxrbm62HnzwQevDDz+0fvazn1nPP/+8ZVn02mmLFi2yHnnkkc9dHwwGralTp1rLly+3lzU2Nlq33367tXbtWjdKTBiPPfaY9eyzz0Ys+8UvfmH9+te/tiyLXjvllltusd5991379dn0tbq62rrlllusyspKe5u//e1v1re//W3r008/7VQ9jOQ4qK2tTVVVVRoyZIi9LCkpSUOGDFFFRYWHlSWWpqYmSVJWVpYkqaqqSu3t7RF9v+CCC5SXl0ffz9O8efM0fPhwDR06NGI5vXbW+++/rwEDBuhXv/qVpkyZoh//+Md666237PU1NTUKBAIR/x8yMjJUUlJCv89RaWmptm7dqgMHDkiS9uzZo507d2r48OGS6HW0nE1fKyoqlJmZaR+ilaQhQ4bIGKPKyspOfT5zchx09OhRBYPB0+Ym+P1++zcWOicYDGrBggW68MIL1bdvX0lSIBCQz+eLGOKXpJycHAUCAQ+qjG/vvPOOdu/erccee+y0dfTaWTU1NVq9erXGjx+vSZMmadeuXXr++efl8/k0ZswYu6c5OTkR76Pf5+6GG25Qc3OzfvCDHygpKUnBYFC33Xabvva1r0kSvY6Ss+lrIBBQdnZ2xPrk5GRlZWV1uveEHMSV8vJyVVdX69FHH/W6lIR0+PBhLViwQDNmzFBqaqrX5SS8YDCogQMH6vbbb5ck9e/fX3v37tXq1as1ZswYb4tLMOvXr9fatWv14IMPqk+fPtqzZ48WLFig3Nxcep3ACDkOys7OVlJS0mnJMxAIcOaJA8rLy/XBBx9o5syZ6tmzp73c7/erra1NjY2NESMM9fX19P0cVVVVqb6+Xg899JC9LBgMaseOHVq1apV+8pOf0GsH5ebmqqioKGJZUVGR3n33XUmye1pfX6/c3Fx7m/r6ehUXF7tVZkJYtGiRJk6cqFGjRkmS+vbtq9raWi1btkxjxoyh11FyNn31+/06evRoxPva29vV0NDQ6T9XmJPjIJ/PpwEDBmjr1q32smAwqK1bt6q0tNTDyuKbZVkqLy/Xhg0b9NOf/lT5+fkR6wcMGKDk5GRt2bLFXnbgwAEdPnyYvp+jIUOG6Je//KWeeOIJ+2fgwIG66qqr7Of02jkXXnjhaYeyDxw4oF69ekmS8vPz5ff7I/rd1NSkyspK+n2OWlpalJQU+VdeUlKSrI7bN9Lr6DibvpaWlqqxsVFVVVX2Nlu3bpVlWZ2+/AojOQ6bMGGCfvOb32jAgAEqKSnRihUr1NLSwnBoJ5SXl2vt2rX68Y9/rPT0dHukLCMjQ6mpqcrIyNA111yjhQsXKisrSxkZGZo/f75KS0v5w+kcpaen23OdwtLS0tS9e3d7Ob12zvjx4/XII49oyZIlGjlypCorK7VmzRp997vflSQZYzRu3DgtWbJEhYWFys/P10svvaTc3FyNGDHC4+rjy2WXXaYlS5YoLy9PRUVF2rNnj1577TVdffXVkuh1Zxw/flyHDh2yX9fU1GjPnj3KyspSXl7el/a1qKhIw4YN09y5czV16lS1tbVp/vz5GjlypHr06NGp2rgLeRSsWrVKr776qgKBgIqLi3XPPfdo0KBBXpcVt7797W+fcfm0adPs8Bi+QN0777yjtrY2LlDnoH/7t39TcXHxaRcDpNfO2Lhxo1588UUdOnRI+fn5Gj9+vK699lp7vdVxIbW33npLTU1NGjx4sO69996Ii2HiyzU3N+vll1/Whg0bVF9frx49emjUqFG6+eab5fOF/r1Pr8/Ptm3bNHPmzNOWjx49Wvfff/9Z9bWhoUHl5eURFwOcPHlypy8GSMgBAAAJiTk5AAAgIRFyAABAQiLkAACAhETIAQAACYmQAwAAEhIhBwAAJCRCDgAASEiEHAAAkJAIOQAAICERcgAAQEIi5AAAgIREyAEAAAnp/weiilSAMSg5AQAAAABJRU5ErkJggg==\n"},"metadata":{}},{"output_type":"stre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6.06790237e+01 1.04998796e+01 6.38490975e+01\n"," -9.90421601e-02 -1.20550830e-01 4.08618685e+01 -1.25358592e-02\n"," 2.95597893e-02 2.51174937e+01]\n"]}]},{"cell_type":"code","source":["pd.DataFrame(X).head()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":226},"id":"soymh9EM0mzK","executionInfo":{"status":"ok","timestamp":1749847025173,"user_tz":-330,"elapsed":164,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"86e4eab4-d8b3-4148-f2f7-042fcbffc3a1"},"execution_count":282,"outputs":[{"output_type":"execute_result","data":{"text/plain":[" 0 1 2 3 4 5 6 \\\n","0 1.764831 1.579606 0.093808 0.341546 0.103202 0.745205 0.421736 \n","1 -1.612963 0.709920 -0.277540 -0.301827 -0.693297 -0.045695 1.116862 \n","2 0.125936 -0.058708 1.030243 0.559735 -2.658385 1.007996 -2.100631 \n","3 -1.537551 -0.717175 0.635024 -0.351591 -2.295090 -0.855000 1.655498 \n","4 -0.072209 -2.155744 0.533470 1.597083 1.331926 -0.658985 1.094355 \n","\n"," 7 8 9 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	0	1	2	3	4	5	6	7	8	9
0	1.764831	1.579606	0.093808	0.341546	0.103202	0.745205	0.421736	-0.461091	-0.710885	-0.761760
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2	0.125936	-0.058708	1.030243	0.559735	-2.658385	1.007996	-2.100631	-0.566372	0.213499	0.175267
3	-1.537551	-0.717175	0.635024	-0.351591	-2.295090	-0.855000	1.655498	-0.263762	0.068151	0.629417
4	-0.072209	-2.155744	0.533470	1.597083	1.331926	-0.658985	1.094355	0.815541	0.204426	0.872842

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\n"},"metadata":{}},{"output_type":"stream","name":"stdout","text":["[-3.99790382e+00 -5.20942229e-02 6.06112432e+01 1.07813850e+01\n"," 6.38216170e+01 -9.18374847e-02 1.83640838e-01 4.09575757e+01\n"," 1.04716617e-01 1.48646825e-01 2.49722911e+01]\n"]}]},{"cell_type":"code","source":["#Model Evaluation\n","def r2Score(y,yp):\n"," ymean = y.mean()\n"," num = np.sum((y-yp)**2)\n"," deno = np.sum((y-ymean)**2)\n"," return (1-num/deno)*100"],"metadata":{"id":"smI__ApO3Esx","executionInfo":{"status":"ok","timestamp":1749847025397,"user_tz":-330,"elapsed":13,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}}},"execution_count":284,"outputs":[]},{"cell_type":"code","source":["yp = hypothesis(Xt,theta)"],"metadata":{"id":"wqKjxqDq5uqy","executionInfo":{"status":"ok","timestamp":1749847025429,"user_tz":-330,"elapsed":27,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}}},"execution_count":285,"outputs":[]},{"cell_type":"code","source":["print(r2Score(yt,yp))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"U36UDcjF6XlQ","executionInfo":{"status":"ok","timestamp":1749847025479,"user_tz":-330,"elapsed":30,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"e4027d7d-fa2f-4a79-a037-9bd5e0d186bb"},"execution_count":286,"outputs":[{"output_type":"stream","name":"stdout","text":["99.73099747014143\n"]}]},{"cell_type":"code","source":["## Linear Rgression with SK-Learn\n","from sklearn.linear_model import LinearRegression\n","model = LinearRegression()\n","model.fit(XT, yT)\n","yp = model.predict(Xt)\n","print(\"yp shape:\", yp.shape)\n","print(\"R2 Score:\", model.score(Xt, yt)*100)\n","print(\"Intercept:\", model.intercept_)\n","print(\"Coefficients:\", model.coef_)\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"y8FDCZyf7rf0","executionInfo":{"status":"ok","timestamp":1749847025536,"user_tz":-330,"elapsed":53,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"0450525c-b232-46dd-aeef-bb47269047e3"},"execution_count":287,"outputs":[{"output_type":"stream","name":"stdout","text":["yp shape: (150,)\n","R2 Score: 99.73093486277892\n","Intercept: -3.998302572780272\n","Coefficients: [ 0.00000000e+00 -5.15429677e-02 6.06117241e+01 1.07835763e+01\n"," 6.38252732e+01 -9.35864489e-02 1.81239163e-01 4.09608198e+01\n"," 1.05857376e-01 1.46070826e-01 2.49696665e+01]\n"]}]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","\n","plt.scatter(yt, yp, color='orange', alpha=0.6)\n","plt.plot([yt.min(), yt.max()], [yt.min(), yt.max()], 'k--', lw=2,c=\"blue\")\n","plt.xlabel(\"Actual y\")\n","plt.ylabel(\"Predicted y\")\n","plt.title(\"Actual vs Predicted\")\n","plt.show()\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":477},"id":"DvUqpzle9iNS","executionInfo":{"status":"ok","timestamp":1749847120328,"user_tz":-330,"elapsed":807,"user":{"displayName":"ADARSH MISRA","userId":"13700666875140334112"}},"outputId":"b7174eaf-27f1-4e41-f1e6-f1e5de73d39f"},"execution_count":294,"outputs":[{"output_type":"display_data","data":{"text/plain":["

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\n"},"metadata":{}}]}]}

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