"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> After loading the data, we can check if there are any missing values in the data. We count the number of missing values for each feature using isnull()."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"CIRM 0\n",
"ZN 0\n",
"INDUS 0\n",
"CHAS 0\n",
"NOX 0\n",
"RM 0\n",
"AGE 0\n",
"DIS 0\n",
"RAD 0\n",
"TAX 0\n",
"PTRATIO 0\n",
"B 0\n",
"LSTAT 0\n",
"MEDV 0\n",
"dtype: int64"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"boston.isnull().sum()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Data Analysis
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Exploratory Data Analysis is a very important step before training the model. In this section, we will use some visualizations to understand the relationship of the target variable with other features."
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#plot the distribution of the target variable MEDV\n",
"sns.set(rc={'figure.figsize':(11.7,8.27)})\n",
"sns.distplot(boston['MEDV'], bins=30)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Observations:
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">> We see that the values of MEDV are distributed normally with few outliers."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Next, we create a correlation matrix that measures the linear relationships between the variables. The correlation matrix can be formed by using the corr function from the pandas dataframe library. We will use the heatmap function from the seaborn library to plot the correlation matrix."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"correlation_matrix = boston.corr().round(2)\n",
"#annot = True to print the values inside the square\n",
"sns.heatmap(data=correlation_matrix, annot=True)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> The correlation coefficient ranges from -1 to 1. If the value is close to 1, it means that there is a strong positive correlation between the two variables. When it is close to -1, the variables have a strong negative correlation."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Observations:
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">> To fit a linear regression model, we select those features which have a high correlation with our target variable MEDV. By looking at the correlation matrix we can see that RM has a strong positive correlation with MEDV (0.7) where as LSTAT has a high negative correlation with MEDV(-0.74)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">> An important point in selecting features for a linear regression model is to check for multi-co-linearity. The features RAD, TAX have a correlation of 0.91. These feature pairs are strongly correlated to each other. We should not select both these features together for training the model. Same goes for the features DIS and AGE which have a correlation of -0.75."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Based on the above observations we will RM and LSTAT as our features. Using a scatter plot let’s see how these features vary with MEDV."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HZb6nEgxS5nvGeuPC5y9rb0ZlJPuQV0ZCWNbe7HlbiYiIiIiIiMxox7laHMMGDwNHebA737OttQkrO1oy0dmG+ihWdrSwqBgRERERERH5gmicq+AYNpg4VS0PduZ7aqe03dE5hz82IiIiIiIi8hWj+kXrV883fb2dci5UGphxlAe9eZ3ax+1OaSMiIiIiIiIqBqvjXBGOfcsTA0d5sFqziEsYEhERERERUSnIpzYvx77liVPV8qCk25ml4RlNaVuzoYcpfEREREREROQLVse5InbKuRQDp9E5w8BRntpam0y/aA31UdMfkJLCp7wnERERERERUTFYGeeK6I19rUxz85oyjU7JiOIY3DpOVSsAUaqfCFP4iIiIiIiIqFTlM83Na5xG5xwzjgpAlOrn9xQ+IiIiIiIiIjvymebmNY7BnWPgqEC0qX5KbSMtP6TwERERERERETnhdJqb1/w8jc7vGDhyid0iW8vam7PmVwL+SeEjIiIiIiKi0sQC0GIcgzvHwJEL9IpsHT12Cvv7B4U/WD+n8BEREREREVHp8UMBaL8GrjgGd46BIxfoFdl6ft/xzP9FP1i/pvARERERERFR6TEqAF2IsacfAldGOAZ3hququcBqMS1WbCciIiIiIiKvFLsANFcuK08MHLmgpips+bms2E5EREREREReMCr0HOuNe779YgeuyBucquYCSZIsP7dUKrb7dV4qERERERERiS1rb8bGHX3Cv23bc8TzMR5XLitPDBy54Mxw0tLzwhJKomK73+elEhERERERUa621ibdwNGZ4WRm7OrVGM/vK5cxQcIZTlVzgdXoqRSynplUTJyXSkREREREVJqsjk+9GOO1tTZhZUdLpg0N9VGs7GjxRXBGSZBQMqKU4FkhpvCVOmYcuUAUVRVJpuSCVbPPB+elEhERERERlSar41PAmzGeX1cuK/aKc6WMgSMXtLU24eixU+h+/TjSMhCSgLQsfm4pBF84L5WIiIiIiKg0KUEQ9ZSskdEkzo6kcp6rHuOV+zQuJkg4x8CRC2K9cfQciGeCRXpBI6A0gi9+n5dKRERERERE+rRZP9o6tkD2GC8IdW6ZIOEcaxy5QJTyJlIqwRc/z0slIiIiIiIie8zGeEGoc7usvRmVkewQSKmM0YuNGUcWmKXsGaW2KVHNUkv18+u8VCIiIiIiIrLPaIwXhGlcoil86jF6uU/VywcDRyaspOwZpbytXz2/cI0lIiIiIiIisiko07j0gmdBmKqXD05VM2ElZY8pb0RERERERFSqgj6mDcJUvXww48iElZQ9s5Q3O5geR0RERERE5A9BGZ+5OaYtRUGYqpcPBo5MWE3Zc6MmENPjiIiIiIiI/CFo47Mg17kNylQ9pzhVzUQhU/aYHkdEREREROQPHJ8FR9Cn6plhxpGJQqbsMT2OiIiIiIjIHzg+C46gT9Uzw8CRBYVK2WN6HBERERERkT9wfBYsQZ6qZ4ZT1XyE6XFERERERET+wPEZ0TjPA0ff+c53sHbtWgDAyy+/jM7OTixevBj333+/15suOW2tTVjZ0ZKJYDfUR7Gyo4VRTyIiIrKNfTAiovxwfEY0ztOparFYDE8++SQWLFiAkZER3HvvvXj00Udx4YUX4s4770R3dzfa29u9bELJYXocERER5Yt9MCIid3B8RuRh4OjUqVO4//778aUvfQmHDh3C/v37cckll2DGjBkAgM7OTuzatYudlhIR642zUBgREVEJYB+MiIgKhePEYPBsqto3v/lN3HPPPaivrwcAvPfee2hsbMz8ferUqThx4oRXmycXxXrj2LLzUKYw3OBQAlt2HkKsN17klhEREZEW+2BERFQIHCcGhycZR0888QQuvPBCtLW1Yfv27QCAdDoNSZIyz5FlOev/djQ21rnSzlJV6P1/6qUYRpPprMdGk2k89dKbWLrg8oK2hZ99cPc/yPsOcP+DvP9B3neyz8s+WENDrWvtLCX8DXqLx9dbPL7eC/IxLsQ4McjHtxCsHl9PAkfPPvssBgYG8KlPfQp/+MMfcO7cOfzv//4vwuFw5jkDAwOYOnWqo/cfGDjtVlNLTmNjXcH3f+DksO7jhWxLMfbdT4K8/0Hed4D7H+T9D9q+h0JSYIMTbvGyDzY4eAbptOxmc30vaL/BQuPx9RaPr/eCfoy9HicG/fh6TX18zfpgngSONm/enPn39u3b8corr+Af//EfsXjxYrz99tuYPn06urq6cMstt3ixeXJZQ300k36ofZyIiIj8g30wIiIqFI4Tg8OzGkda0WgU69atw1133YUbbrgBf/zHf4wlS5YUavOUh2XtzaiMZH9VKiMhLGtvLlKLiIiIyCr2wYiIyAscJwaHJMtyyeUcl1O6mt0q9MVK1/NDtfygpyoGef+DvO8A9z/I+x+0fedUNX/jVDVyG4+vt3h8vcdj7O04UXt8/TAmLSdFn6pG1ihV6JWCYkoVegC++wG0tTb5rk1ERERERERUPIUaJ5bS2LkcFWyqGuXa3t0vrEK/vbu/SC0iIiIiIiIi8heOnYuLgaMiEhUSM3qciIiIiIiIKGg4di4uTlUrIrMq9KI5nEsX1BW6mURERERERJQH1ufJD1dwKy5mHBWRURV6ZQ6n8uNQ5nC+8Oo7xWgqEREREREROaA3tov1xovcstLBFdyKi4Ejl8R641izoQer1u3Fmg09lk4Cba1NWNnRkomSNtRHsbKjBW2tTbpzOLfuPOhJ+4mIiIiIiMh9rM+THyVbazSZRkgaf0w9dibvcaqaC/Kp8K5XhV5vrub7J4fzbC0REREREREVCuvzOKcda6fliUwjBo0Kh4EjF+hFkB/bfdjxPFa9OZwygDUbevhDISIiIiIiKiBtnaLbb2pF68WTTV/H+jzOGWVrcTxcOJyq5gK9SPHZkZTjeayiOZzq7W3c0YdHf3HIWYOJiIiIiIjIlLokycYdfVnju4eeeMPS+G5uc4Otx2kCs7X8gYEjF1iNFNuZx6qtfyTy/L7jLKhGRERERETkAW1Ra63EWMrS+G5//6Ctx2mC3niY2VqFxcCRC4yyg7TsREbbWpuwfvV8w+ewoBoREREREZH7RNOktKyM75g14xxXU/MH1jhygTK3Uj3fNTGWwpnhZM5znURG9ebEAv442Wjn+rL+EhERERERlTorYy0r4zu98VxtdQRrNvRwHGVANNbmcSo8Bo7yYBQw0VZ/B5xHRpe1N2Pjjj7h34qdopfPinJERERERER+ZXQDHwCiFWFL47tl7c05Y0MAODOczCQbcBylT28lciocBo4cMguYuBkZbWttwtFjp/D8vuM5fxscSriyyprTrCG3qtwza4mIiIiIqDjYFxfTC/gAsLWqmjKee2HfccgGzxtNpvFwV1/mNUR+wcCRQ1YCJm5GRpdf34LLpk/GUy+9iYGTw1l/yzc6bTdrSH1h0WNnCh2zloiIiIiIioN9cX1myQCNjXUYGDht+j6x3jh6DsQNg0aKtAzh8Wdwj4qJgSOHilFzqK21CUsXXI7b/3FXznacZPko7GQNiabgidiZQudW1hIREREREdnDvrgxN5IBrBTZVtMefwb3qNi4qppDxVwW0O2glZ33s3LSs1vLyc+Fv4mIiIiIyhn74t5zcizVrzEK7hEVAjOOHBLNd3VjWUB1CmJtdQSyLOPsSCqTjrh0QZ1ukTanQSs772d20nOSNun2/hARERERkTXsi1sjmiq2dEGdpdeaFdkWCUnj22xrbWJwj4qOgSOHvFgWUJuCqFTYBybSEevrqlwJWqlPfDVVYUTCEpKpiVm3eu9ndGFZv3q+5e2reRWEIyIiIiIiY+yLm9ObKlZfV2WpOLZeke3a6gg+2jIVPQfiOX9T1zryQ3CPNZaCjYGjPLi9LKDZNLDRZBr/8dQB/PDuT2Se7+SHqz3xnR1JISyNn7jODCcN38+LC4sXQTgiIiIiIjIXtL64kwCI3lSxrTsP4jt3tplu0+wYXzZ9Mh7u6kNaUz1bmY5W7OAeaywRA0cqxY6iWkk1PH1uLJOyCEycfJT5rVbaKzrxpWQgWhHGA1+5xvC1Xl1Y3A7CERERERGRNUHpizsNgOiN0wZODmPNhh5L4yL1MVbGnRt39GVepw0aqbdd7OAeC6gTA0cfKmQUVS9ApWT8mFGCRE7bm+8c2aBcWIiIiIiIqHw4DYAYjdOUMZTV8VisN47Nzx7MlAkZHEpg87MHUVMVxtmRVM7z1bWOijUGY40l4qpqHypUpXolQKU9wcR645BlnTCzhpJh5LS9tdXieKHe40RERERERKXOaQDE6jjNynhs254jWbVlASCZkpFMjU8/01JqHcV645ba4IVirihO/sDA0YcKFUU1CviIIswiRlX5rbRX78Rn9YRIRERERERUapwGQKyO0wDz8Zhe5lJiLIWVHS0ISbl/8yKhwY5l7c05QS0WUA8WBo4+VKgoqlHAx8q2ohVhLGtvzqu9eic+OydEIiIiIiKiUuI0AGJnTJjP+LGttcmw1lGxtLU2YWVHS2bfGuqjWNnRwvIlAcK5SR8qVKV6o6UURW0IS0B11cRqZ7ff1JpZ8tFpe/2wnCMREREREVEhOS0yLRqnRcISZBlIqSI9VsZjerWMaqrCAPw7VmOd22Bj4OhDhapUbxSgstKGxsY6DAyczqu9xV7O0UixV7YjIiIiIqLy5SQAojf2qq+rwiNdvbbGLrddNwubuvqgKXMESZIQ6437eqxGwcXAkUohoqhmAR87bXDa3mIv56inkCvbERERERERWSUaezU21mVmg9h5HwB4bPfhrMyjM8NJbNl5CCs7WrCyo8V3YzUKNgaO8uA0O6aYaX7aNt/ROcc3JyGny2MSEREREREVgno81TilGjdffamjDCbR4kjK2Gf96vm235MzN8hLDBw5lG92TCF+2OpthCTkFFrzW0ZPoVa2IyIiIiIisks7Bhw4Oex4PGU09lmzoSdrDGc2Xnz0F4fw/L7jWe/hp3EelT4GjhzKJztGFHTauKMPR4+dwvLrW3Keqw4wqYtj29mGXnX+fDN63AyA+bUQHBERERERlQ+nY5jHdh+2PAY024be2AeYCCopYzijQFCsN54VNDJrF5ETDBw5lE92jCjoBADP7zuOVw6ewNmRFBrqo5jb3ICeA/GsANNDT7yBFUtmmZ4A9LbhtM0ibtckYiE4IiIiIiLyktMxTKw3LlwNTXkPs21s3NGHjTv6MkEk0djHiF4gaHt3v+5rOHOD3BIqdgNKlV4WjJXsGKMfsHIyGhxK4Pl9x3NOJImxVNbJIdYbx5oNPVi1bi/WbOhBrDduug0nbRYxyrpyoq21CSs7WjLtaaiPYmVHC6PkRERERETkCqdjGKO/a8dTRjfx1YEq9dinpips2nbRGM9o3MeZG+QWZhw5ZCU7Ri890Sgt0QrltXqR7Md2H0ZtdQRnhpOm75VPRo8XNYmKWTiciIiIiIj8wY2SGKL3cDqGMfq7djxl9l7aItjKuM6MKBBkNLbkzA1yCzOOHDLLjlF+/MqPWIksx3rjef+AlW3qRbLPjqQwPJJEJCyZvk8+GT35ZF0RERERERGJGI2l8n2P2mpx7oTZGEbv77XVkZzxlN1ZKFbKjOjd8F/W3ozKSO6wfuG8abwhT65hxlEejLJjjFIg16+ej6PHTgmLmJmJVoQzJwyjSHZKBmoqQjivJmKrIr9Vsd44EmO5c3xZk4iIiIiIiPKRz0JEZu9REZFQGQnZrqsqmnESrQjjc9fOzHqe3jhJSx1cMstQMhrDKY95vWI3BRsDR3nSS6E0S4Fcfn0LLps+OfPa2uoIhkeSSKlWP6uMhDD/iibs7x8UrqpmNuXt7EgKD3613XbbreyzqJBbTVUYt11nXribiIiIiIhIjxslMfSee3YkhYXzpmXGWLXVEciyjI07+rC9u99WgEa74rXeOElLG6gyWl16/er5pvvKch/kNQaO8mBUkd/K0vLaH7iVQE5jYx2eeeG3mecZMUqRzGdFNL1UyqrK3DRNIiIiIiIiO6yMpZy+BwD0HIhjZUcLANgaE2nHb42NdRgYOJ35v944qbY6gmhFWHecl+/q0m7UgyIywsBRHoxSKPWWVxwcSuAL39krnDamPhEpP0rOgP0AACAASURBVH71ko1trU144dV3HEWx1e+pnromarvZScaLothEREREREQAMLe5Iaesh92SGEbL3Y8m09i4oy+vMZGI3njozHASD3zlmqwxnjq7yc50M22QaG5zA3oOxB0lBBBZxcBRHowCKNofv5pyctL7URtlAz310puOotja99SeIM32Sc2NOwBERERERERasd44eg7kFsGef4W96VjKczfu6NN9Tj5jIhGjcZLZjA8r081E7yGqm5tP8ItIhKuq5cFsVbG21iasXz3fMKCi/KjVHtt9WDeT6f2Tw8L3OTOcxPrV87Fp7aLMso5qVir1G+2TmqhyP4tiExERERFRvvTGLfv7B22/V1trk6Ob2zVVYduvAYzHSUazVayyOqYDOBuE3MXAUR6sBlDMfrTqv8d64zg7Iq7CPziUgE5Q3PSEaOXEYTX409bahJUdLZltNtRHsbKjxbcR7VhvHGs29GDVur1Ys6HH1jKeRERERERUOG6XxdBbrt5IYiztaMxgNE7Kd79ivXFbx4CzQchNnKqWB6tzUc1WP6utjmDNhp5M7SG7rAR89NqgzOu1W0StVCr351MEnIiIiIiICsto3LJq3V5H4xZgfFaH3g16rWRKdjzVS2+clE+5D2VMYxVng5DbGDjKk5UAilFhtkhYwvBIEmeGkwD059nqsXri1KvU7+dMITcYpYT6eb9FKyMsXVBX7GYREREREXlKb+xkVifWSFtrE7Z391sOHCnbMRLrjeOpl2IYODlsaUyWz8ppRlPUKiMhzL+iCfv7B7mqGnmGgaMC0GYmqbN8RkaTtk5gWutXz3fUhqCcUEpxBTi9LKn6uiq0Xjy5yK0jIiIiIvKO3thJzcqNYO2NWLv9f6NMICezGvIZjxm1vdwTAcgfGDgqEL3MpFXr9jp+T7vzVosxvUyUOVPINpTiCnB6WVJbdx7Ed+5sK1KriIiIiIgKQz1u0RsvGQVTRIEdPTVVYYwlZVuZQFZmNeiNg5yMhYzGNAwaUSF4Whz7hz/8IW644QbceOON2Lx5MwDg5ZdfRmdnJxYvXoz777/fy82XBKcBDLfnrVopIG23yLRywlZOckokvpDFqUtxBTi9C5veinpERERq7H8RUTnRGy+FJOiOK0SrVIuEJUCSJIwm05las1YW/jGb1eD2OKgUxzRUXjwLHL3yyiv47//+bzzzzDP4+c9/jkcffRSHDh3Cvffeiw0bNuDZZ5/Fb37zG3R3d3vVhJJgt8q/BPdXMYv1xrH52YNZJ7bNzx7MOrE5Ofm5seRkvkptBThA/+J4wZTqAreEiIhKDftfRFRu9MZLaRnC8YjRKtXARF+7pioMKSTl1Jqd29xgOlbQ668rj7s9DirFMQ2VF8Opanv27MEnP/lJSJL9pb7+/M//HFu3bkUkEsGJEyeQSqUwNDSESy65BDNmzAAAdHZ2YteuXWhvb3fW+jKg/Ngf7uozLYzdUB/FI/+wBAMDp11tw7Y9R5BMZW88mZKxbc+RrLm4dotM+6W+kCgltNhT6IzoFc5b0TG7iK0iIqJCctoHY/+LiMqBtq8+/4omdL9+3FKtI6PgTEN9NFMjds2GHpwdyR2XPL/vOC6bPlk4NlC3S0udAeTFOKhUVrWm8mQYOPrhD3+If/3Xf8Wtt96Kz3zmMzj//PNtvXlFRQUeeOABbNq0CUuWLMF7772HxsbGzN+nTp2KEydOOGt5CbAanGhrbcLGHX2G7+VlKqISZTd63MnJz6/1hZwUszN7PzeDUHqF8xZcNcP1oCEREflTPn2woPe/iMgZv9xYFfXVew7EdW+ya8cbRuMT9XjK6HnaYFSsN47Hdh/WzWTSHi+/joOInDIMHO3YsQP79u3D448/jo6ODixYsACf//znMXfuXMsbuPvuu3HHHXfgS1/6Et56662sO2eyLDvKZmps9P+y5C+8+g627jqMxNj4yWVwKIGtuw6jvq4KC66akfP8xinVGNCpYRMKSbjr/1yZeV1jY934++88iPdPDuOCKdVY0TFb+L75Uo61Xvsap1Trfh6339SKh554I3MMACBaEcbtN7U6/gzd+OyfeikmzJ566qU3sXTB5bbey+7nbNXSBXXCtpTCd98rQd53gPsf5P0P8r4HWb59MC/6Xw0NtbZfUw74G/QWj6+3rB5fr/q0TvzkuV8K++qhkIS0IHqkHY/ojVvqJlVk9a+Nxl8fDCUy76k9NqLtb/r64qzHvBgHBRWPl7esHl/TVdXmzZuHefPm4cyZM3j66afxzW9+E+FwGMuXL8fNN9+s+7r+/n6Mjo5i9uzZqK6uxuLFi7Fr1y6Ew+HMcwYGBjB16lRLDVUrhayLR7p6c04uibEUHunqFS6pfvPVl+pmHaXTMlovnoyBgdNobKzDMy/8NisKP3ByGA8+/jqGTo84uitQUxUWRs9rqsKZY33z1ZcKp0/dfPWlup9H68WTsWLJrJw7F8q+2NXYWOfKZ693gRg4OWz7/e1+zvlwa/9LUZD3HeD+B3n/g7bvoZAU2OCEiJM+mJf9r8HBM8JBWzkL2m+w0Hh8vWXn+BayT2sk1hvH6XNjwr+l0zIqIyHT8YjeuOXWT16e8zy98df59dHMc0XHRk00hnB7HBRUPEd4S318zfpgpoEjRW1tLT7/+c/jU5/6FB588EHce++9hoGjY8eO4YEHHsC2bdsAAM899xxuvfVWfPe738Xbb7+N6dOno6urC7fccovVJpQUN+e1KisG5FNvyMht183Cpq4+aMoc4exICms29GSlXWpPfsD4/GC9lFY/zsV1M3XUL3WciIiofNnpgwW9/0VEzhSrT6udHjcyKi6hAYzf1AYA5Sm11RF87tqZwrFGRUQyfV5baxOOHjuF5/cdz3pcWyLE7BjUVkeE4yE/joOInLIcOPrVr36Fn/3sZ+ju7sbChQvx05/+1PD57e3t2L9/P26++WaEw2EsXrwYN954I84//3zcddddSCQSaG9vx5IlS/LeCT+yE5xQ5vHqUVYMAManMLl9YtcGhbTvqa7/o53r62atoELRKz7tpIYU5y8TEZHX7PTBgt7/IiJnitGnFY0ljCTG0lkL+oyOpXOeo31Pvecpll/fgsumTzas7aR3bAAgEpYwPJLM1IYtlfEQkV2SLMu6OcfvvfcennzySfz85z8HAHz2s5/FLbfcgsmTC5euKFIK6Wqik1ZlJCRcNlGJUJtpqI/i9ptacf+214TF4WqrI4hWhIUnPavF7vTaol6BwMlz7dBrq5upim4V/7PzOecryKmaQd53gPsf5P0P2r5zqtoEP/bBOFWN3Mbj6y07x7cQfVpt/zsxltJdpEdLAqB39qmpCkOSJJwZTiIkQThOymd8Ijo2wPjYS5Ik4dQ6pR1+W7251PAc4S3XpqotWrQIV199Nf7v//2/uOaaaxwVUgwa9QmxtjqCioiEsyMpw5OG1UyhwaEEHnriDeHJ0CjaDUCYGXT02Cns7x/MCp7YyWZykvlkFrAxymJausC9wmhupY7qTeHjxYGIiPLBPhgRFZLXfVq72UVq2rpGWuparVZXXtO2zWi/jY7NX6/bK3xPpR3MQKJyYRg42rVrF6ZPn16otpQ87QnxzHASlZEQ7uicY3iiMEp/VAtJEBZmC0lAtCKUU+BaqXuk/Fv7N/V8XuWkVlsdEUb+RWmqdlNarUxtM6rfZHfFs0Lh/GUiInIb+2BEVGhe9mlFfXw9olkUopIaduQzPlH+LTo2FxiszKbIpxYtkV8YBo6mT5+O3bt340c/+hGOHDmC6upqzJw5E6tWrcI111xTqDaWDKdFq0U1d7SMIu1pGcJV0QB70fzRZBoVEUm4WsHc5oacom92awXpHZ9te46YXgxYbJqIiIKEfTAiKmXaLB6rffnKSEi34LXeCmhW3lNvfPLY7sN5LTq0omM2Hnz8ddOgGMcyVOoMA0c7d+7E/fffj7vvvhstLS2QJAn79+/Ht771Lfzt3/4tFi9eXKh2lgSnRatF6Y9Tp1Tj8O9PIS2PZxTNv6IpM61Mq6YqjKrKiGH2j9WT1dmRFO7onJPVlrnNDeg5EM+JxK/saMHKjhbLKa16bTgznDSd31yoYtNu1T4iIiLKB/tgRKWH/chxdqalqccxRsesrbXJUeBIGUeJ3jPWG8/75vuCq2Zg6PRI5nM3qrFEVMoMA0dbt27FI488gmnTpmUea25uxpVXXol7772XnRaNfFYjUKc/Kidb5aSTloGeA3HMv6IJL77xLlKas1FiLI0/n50d3AGyo+tmGU3qtmpTMdds6NGNxK9fPd/yBdHO3QY1pyue2VWqq8QREVH5YR+MqLSwHznB6rS0ykgIt103y/Lx0QvKGFHGUZdNn5yzHaWkh4idQI9oHOfG6s1EfmIYODp79mxWh0Vx6aWXIpFgup2WW8u8603p2t8/iElVkZzK/cmUjP39g6bZP0ZZROq2Wk0ttRsEsjIlT0tZJWHjjj489dKbuPnqSws695pzkotD+x28/aZWtF5c3NUciYgKKQh9MGZnUDlhP3KC0RhBGVs4+c23Xzktq0armiQBsiwOLul9DkbtHBlNItYbt/3ZceEcKleGgaNwOKz7N1kO1nKsVrh1ojAK1OitqTI4lDAsaCf622XTJ+e0FchdgU2P3ZRL0fEZGU3qpogunDftw+DW+N8HTg57eufGrQAZ5Ud0x+6hJ97AiiXW70gREZW6cu+DMTuDyg37kROMZmGsXz3f8fsuv75FN3Aky8CmtYuwSmeVM7326H0+Z0dSjs9JXDiHypFh4Ijsc+NEYXSyDYVDwsr9TubNitoqmpYm4jTlUrvNWG9cd75y9+vHLd8xcEM+Uw3JPaI7domxVCDv2BERlStmZ1C5YT9ygluzMETMjrPedLaQ4O77svZmw7pJPCcRTTAMHB0+fBh/9md/lvO4LMsYHR31rFFBZ3Syra+rElbuHxxKYM2GnrxTIY3uiignYjdTLo0K3enNYfbqzo2XFznKZjQ9gXfsiIjKvw/Gcz2Vm3LpRxr10axOL3VjFobetsyOs974QfS4lYLbPCcRjTMMHO3evbtQ7SAVo5NtY2NdVuV+NTfSvI1SNtPyxInZzci73jYLvSoB5yQXhtn0BN6xIyIq/z4Yz/VUbsqhH2nURwNyy1kYjTvymYVhZSqr3nG2e24xW7yH5ySicYaBI0mShIUZAeDFF1/ERRdd5EmjaOJkq0TbN+7ow/buftx+U2vmb2s29OSc6EaTaTy2+7DhRcvoboFZAWsvUjZF2wxLQCQiITGWHTny+s4N5yR7z2x6guj7EK0Il9wdOyKifJR7H6xcsjOI1Eq9H2nUR1P+Lfqb2/ucz1RW0bklEpYwMprEqnV7bY19KiMhzG1uwN0/fBFnhpMAxhfusbMSHFG5CN9333336f1xxYoVuPXWWwEAd911F2644YbM37761a9m/lZo586Vfoq2FUq0XTlRDSdSeO3Qe2g4rwozptbiJ88dFb5uLCljOJHKvOY3vxvMvEb0nuq/z5hai4bzqvB2fCjzHlrDiRSefulNvLT/OOomVWLG1FrDfXjgZ2/gJ88d1X2+dps1VWGk5PH9UKubVIH/Z3Fpn6itHA89NTXRsvju631vhxMpfOrqS3O+Dw31UXzx01fgzy6/oMAt9Y9y+eydCvL+B23fJUnCpEmVxW6GL/ixDzY8PAq36nKLzvWfu3am767xQfsNFlo5Hd98+nhesXt8jfpoRuOCT119qaP2KbTHTi8DaDiRwtQp1bbGMrXVEYyNpZH4cFwxnEjhtSMDGDqbwJ9edkHO80MSIGM80+ijLVPxy/3vYmR0Iqg0lpTxxm8H0DilGjOm1pbVd9iPeHy9pT6+Zn0ww4wj9aod77zzju7fyBtmRYLNUisV6gi9lQi+UUaTmlmKqp0VU9R3aNZs6MHZkdztVkUjvutQ2sEVZMZZSSHW3rFrbKzDwMDpgrSPiMgPgtAHK/XsDCJFufTxzPpoXkwvFR07o/bZGcsA4+MKJcik9vy+47hs+uTMc0Wf05oNPUimcs+3KRksmk2BEzL6oyRJwn+L/k/uMyscuay9GZURw48w5zV2ilFaeX91+qqWWbqrWVu13hesJldKnB6PciP6XnF6AhFRNvbBiEpHufTxjPpoXvXfRMdORNmWlbFMrDeONRt6sGrdXsNAlNMxidnfiMqR5YwjKjyzqL+oOFxiLCWMqiuvqakK4+xIbqppTVU45zHt++uxuzKK2YlWb78vmFJt+Dq/4woy48qheCQRkdfYByMqHeXSx7PSR3O7/2aWYaTdlt64RBnraDOYnG5bvX29vxEFiWHgKJ1O4w9/+ANkWUYqlcr8GwBSKfE8V3KPlSLB2tRK0clSfTdA7y6l3uPaVE83VikwO9HqFcxc0THb8HV+xxVkJnB6AhGRMfbBiEpHOfXxjPpoXvTfjI7d+tXzcx43K6xvNYNJ2YaRZe3N2PzswZzpamEJzJSnwDEMHB05cgQf//jHMx2Vj33sY5m/MU3ae6Ko/+03taL14sm2XqO+GyDKRjJ6XM3uCihOV0zR24cFV80o6To3XEGGiIisYh+MqHSwj+ec3WNnNtaxmuVlZ0yybc8RrqpGgWcYOIrFYpl/S5KUlTbNTkth2C0SHOuNG6aQ5nNHxO4Uo3ymJJVjRgqnaBERkVXsgxGVjnLq45mNJdzm5NgZjRP0xjq11RFEK8IckxA5ZBg4amtrE3ZOZFmGJEk4ePCgZw0j+6ys6CCK6gPA3OYGS9uwe/LkyTYbjwcREVnBPhhRaSmHPp7RWALwLjDm5rHTy2D63LUzS/7zISomw8DRzTffjH379mHRokW45ZZbcNlllxWqXWRA706A3ooOP9rRh407+gCMp1c2X1SPg2+fynpez4E4AGB//6DpBcGLOxGx3ji27jqIxNj4HVUJQMslk/HeyWHL0/SIiIjKBftgROQlUX9ebyyhjCMUopvTVrYTkoC0DOH4wc74wui5ogymuc0N2N7dj407+jzNoip0thZRIUmyybIdw8PD+K//+i889dRTOHfuHJYuXYrOzk7U19cXqo05SqnOjdsnkN7fn8KDj7+eE0Vf2dGSc1LPl/K+Vopva59nR6w3jh919cFsAZloRRgrlgR3TrHZNMVyFuR9B7j/Qd7/oO17KCShoaG22M3wDb/1wQYHzyCdDtZqb0H7DRYaj6+39I6vXn/ealFphTrgJBrrmK1wptQLAiBsz/wrmnJuaus9V28sYnXs4nTMphxjL8ZIxHOE19TH16wPZho4UovH43j66aexc+dO/NEf/RF+8IMf5N9aB0rly+P2CSTWG8fD/3lQ2GlrqI9iZDSJsyPurrSivSAodwpEzxOtfGCF3mptIkZ3KspdkE+cQd53gPsf5P0P2r4zcKTPD30wBo7IbTy+7hEFPpYuuFx4fPX63nr9fCOigNPCedOw/PoW3P3DF00X4KmMhFARkSyNYYyeqzcWMVoVWnl+PmM25TtsZTtkH88R3rITODKcqqb1wQcf4IMPPsDJkyfR0GCtJk6Q6aV7bu/utx3wUE5oeh22waEEImH3i2UqqajKfuhdTKwGfvJ9rbJ9sxRZP6SKOm2DH9pORET+wj4YEWmp+4xqSj+5vq4qq8yD3vMVdoNGIQnCbKLn9x1H/INzllZtHk2mMWr+NNPn6u2TlcfdGLPZ3T5RqTENHL377rt45pln8PTTTyMcDmPp0qV4/PHH8ZGPfKQQ7Stpbp5ARCc0tZAEJFPu3wXUuyBoWVmVTUu5eDmld0K3UiTc6+CMlTbYfd3SBXWutY+IiPyPfTAi0mM2DWw0mcb9P9mHv75xNtpamxDrjWPzswcNxws1VWFIkmQp4GM2tU1bT9VrNVVh4eNWVpR2Y8yWz8rVRKXAMHC0fPlyvPnmm7jhhhvwve99D3PmzClUu8qCmycQsxOXF5njduY6K3OOrTK72FklOi5mdw2cBnXscHrnwuh1Sxdc7krbiIjI/9gHIyIjZjeVASCdljN93G17jpjeZE6MpXH59PMsBX0qIpLlTKFCEK1CCeivsqYeu7gxZrOyHaJSZhg4+tWvfoVoNIonnngCP/vZzzKPK0vBvvbaa543sJS5dQKJ9cYdzTnOh2Qx00hhd7qYlYudmlFtJe02ze4auDmFUI/TOxdMcyUiIoB9MCIyZrVvqPRxrWQRJVOy5Uwht+uq5uvMcNJ07KE308DqmE1cR2p8RoCV7RCVMsPA0XPPPVeodpQlN04gmdpGBa5Fab1kujgab5bVYycQckfn+F3WrbsOIzE2cZHSntCVbeqprY5k2iIyOJRwbQqb0zsXTHOlIGJdL6Jc7IMRFU4pXIe0baytjlgKBgHBuAFZWx0Rjj2OHjuVszKb9rO1MmbTG9uo60i1tTb57ntD5BbDwNFFF11UqHaULScnEPWFwa1MI0myFwyyY25zbpFOo6wewN6qDdu7+7F+9XzU11Xhka5e3RO6WRbT8Mj4nQi94IzeBQewP4XNabYZ01wpaAoxdZSoFLEPRlQYpXAdErUxLAGRsGSpxqlbqy/r9aFFImEJsiwj5aAqRUiSkLY5cJFlWTj2eH7f8cz/jT5bszGb3tjm3x57zbfBRiI3hYrdAMqmXBiUk7IbQaPa6ggmRcUF49ywv38w6/9m08XsZlAp77XgqhlYv3o+Nq1dhPWr5+ecnM0uZCl5/KS/rL0ZlZHsr35lJKR7wXFawLsiMjHXurY6YmlJz7bWJqzsaMlkGDXURy29jqhUmQWZiYiIvFQK1yFRG1Py+I1YdZ9x4bxpOX1cYPwm723XzYLTBZgb6qPYtHYRlrU3I2TxPaIVIUdBIwBIyzJ0ShbpshoUc/rZGo0zlPFNrDdu+32JSoXpqmpUWHZr/xhpqI9i/er5AIBV6/a68p4i6hOp2XQxq6u0qSkXxBdefccw48jKXZDBoYRuOurGHX26r7FDVPh7dEx/n0Xp0crnVg5KIf2biod1vYiIqJhK4Tqk15bRpCzsV6mzbJT/v/ybdxGJhJEas5d1FJaAxFjK9lgi3+wmJ2UzrH5mTj5bs3GG2/VSifyGgSOfcesipUxvynfJeyvU9XeMAl92VmlTv0bZD3WNo8GhBDbu6MPGHX2ZaW+VEfNbE0pbRemoSnBD7zVWxHrjeLirLyejSu9iIko93vzsQTy2+zDOjqR8E2hxGvwphfRvKi7W9SIir/EGBhnJ5zpk5bvlxvfPKGixbc+RrPdP6ASGEmMyAPvBHCkkWa6lpBYOwXHGkV1KSQerKzY76WOIyklo+SnYSOQ2TlXzmZoq8ZQyq2mhynPnX9GEbXuOYOOOPk9PYurAzpoNPYbbUk/B0hMJS5ljoJ6mtb27X/dCqARpRpPmtyZE9ZgUoilskbCEkdEkVq3bizUbegxTUM0KmYuOjSjQlkzJmbs0fkh91U6ftNOmUkj/puLSmzrKul5E5IZ8rmEUDE6vQ4/+4lBWP1v03XLr+2fUljPDyaz3txvk0Rt7KKzUUBIpVNBIoZR7UBbDAcZvKkc08/Oc9jG05SREeNOLyhkzjnwk1htHQjClKSwBq26ag7bWJvT+/lRmula0IiwMpsy6eDJ6DsRdm/KmR8J4MAgwj/DXVIV1M3oUyl0YYCL7RwkwuBX8euXgiczKCkqmkt5ynbXVEQyPJLOCOEqWk5Pi3KKLiZX9UgItSxdcbnd3XWEU/DG7Y1YK6d9UXFy+loi8lM81jILByXUo1hvPmQ4G5H633Pj+xXrjeGz3Yau7Y1syvxllnlP660YL66jLZKjLQ4wmZYQlZFagy7ePocxYEJWl4E0vKncMHPnI9u5+YVQ/EhkPumzc0YfGKdWZE96aDT3CwNHh359ypai2mZrqSKYdRgGT8bnRaZwdEacBq0/gsd44NnX1QTkMg0MJbOrqgwTAjV06O5LKBILSqm2op08pbVmzoUf3ro0oiGQUDNG7mFhdncJJnSW3BuJGwR+z7XAaElnB5WuJyCu8gUFW2L0OGWVOq79bdr5/olWVa6sjODucdKUPrEcvo98v0jKwae0iPPqLQ8JgHZCdzS4qIh6tCOOBr1zjWpvUgcEPhhI4nze9KAAYOPIRvYtLYiyVOakPnBzOBDn0nl+IoBGATFDFLIsoMZYSBmDUxbsVj+0+DG3szGGGrC2iuz92Cuxt2XkoczdDKyRBd2U0K/OlAft1ltysK6QX/KmtjphuR7R/vCNDRESFwhsY5AWzvq/631a+f9q+m9KXd1JbqNCMMoHc0FAfRaw3jp4DxtP7zFY9c5sSbGxsrMPAwGnX35/Ib1jjyEesdmKUIIdXnR7tXGAjsd64aTuMsna08l2BIR/a9tg5vqPJNGRZFs6R/+sPpxmKaOdL11ZHcpZKtRtocbuukN7cf1mWTbej3T913SoiIiKvsY4aecGoj6j+bln9/rm5qnJlJGRat8guvVqrlZEQZl082dVtad9/WXuzpePTUB/V/VwYKCbKHzOOfMRq9gngLHIeDo0HhcZXVdD3ibkXZuoAmdne3Y+5zQ26qaNW78gAMC0UqFfTyS3a9tj5PIDxoNcdnXMMp26JpnapRSvC+GjL1MzxdzLNzO20fL25/xt39FnaDqchERFRsbCOmn+I+kBLF9QVu1mO6PURF86blvXdsvr9yzcjRlu3E4BuP82uykgoc9NP9Bl6VX+ppiqM266bhbbWJtN9UQfjjDLdrZZy4EqM5EfF/l4ycOQjoovLyGjStSycqsowxpIyzKoF7e8ftBw0GRxK4MXXxUEjI9q7LUqKruFrKkKoiIwvCVpTFcbIaBqpD3NjJQAtl0xG//8OObpjUxkJYW5zQ2ZlOOXHuLKjxbSo98R7SKZBI+3Urs3PHoSclrNqOvUciNvOyhHNi9eyO91Nuy/aaYV6x8Wvd3WKfbIlIqLi4A2M4tObRl9fV4VWDzNWvGInIKn+/il9EXWN/83b8AAAIABJREFUTCC/6V5KYOfosVPofv04Nu7oQ0iCa/VB1dnkot+SWwEqhaj+qZ3nA+LPxWopB7dLPhC5wQ/fSwaOfEZ7QhZV7XfKagBqcCiRc0E0uqBZrUGkzPNuqI9ibnND1oUzMZYy3cfT58ZQGQlh4bxpePH141nblQH89tgfsrKlrBaeVtqjXolO+TGu7GjJBExivXHDi+NoUs5ZbhXI7lxo91FUDN3JahuiefFqdtLyrZyYxlcAzP0++TX93w8nWyIioqDSm0a/dedBfOfOtiK1Kj92A5JGNxCNgkaRsCTsLyrmX9GEl/Yfx8G3T2Ue03u/sOSsdqi236S+Gec20Y1KPXd05paD0PtcrK5wx5UYyY/88L1k4MjntAGcQlAyRrR3SPIJYCmFsGO9cWzbcyRrapud/RpNptH9+nHhBTGZkrG/fzDrgqNkEBlZv3q+cGU47Y+xrbXJ1uegfb2d/RwcSuRkP+mlc+vN+9amLVs9qZidmPS+C+qUYr/xw8mWiIgoqPT6QO+fHC5wS4rH6g1ENbPyAADwysETlm8OV1dFEK0IOxpTjCbT2LijD1t3HUYymfJk8RpR1rpRW70o5cCVGMmP/PC9ZOCoBKgDOH//7zEMOLjIVkZCqKwIma7OoJcxYicDSe893cqeMtquskS8elWvzc8e1L0wKxcoox/jqnV7Mxduu3WP1O9rNQNK+1qzdG6j1fU2rV1keXtm76c8rheoqqqM+DYI44eTLRERUVDp9YEumFJdhNYUh90+h7oP93BXn27/105JizPDSchyfhEfL+uNisYgbq2MaPV9uBIj+ZEfvpdcVa3ErOiYLVydYeG8aVkrV2n/v7KjBZ+7dmbOa9VqqsKGtXXaWpuwfvV8bFq7yHLQSHlPYPyi58aUO72VHRRbdh7KzIdua21CtEJ/n5ULVLTCePUJJXhz9Ngp2Jkxrv4x5zOFS0nnNtuGlcfNmL1fKQZhuMoGERFR8eitLraiY3aRWlR4dvoc6ufGeuOwvt6xuUKsYBySJNsru2kLiyusrEwX641jzYYerFq3F2s29AjrIlld4Y4rMZIf+eF7yYyjErPgqhkYOj2SV5FfbdaQk/cwy56prY7gc9fOzExt2mRwp8SOsARIIQlpg/xY7RQkowuk0j4rd09Gk2nd1eP0qH/Mba1NeGz3YWF71J+F3XRuURZUPicSs/fzQ8TbLrePEREREVmnV0x6wVUzMDBwuuDtKcSCGdptaOtpAuP1i9SLpAC5q4Bt6urTnRYWlsann5nNKCi0tCyjqjKC266bZZqpb3b8zQqRW61jabWgOVdiJD/yw/eSgaMSJCqgra2HY3TyFS0Pv3FHH7Z391v+AhrNt1baoLyvW6s61E2qwNnhJFIWJlVbmSIWkib23wuSBBw9dirrB37xR+qyihcq2q+chuXXj2dm6dVl0kvndvtEYvZ+pRiE8cPJloiIKMj8srpdIRbMEG2j50Ac869oylrERek76fVPtnf3G9YSSsnwXdBIoV5sZ9ueIzntVFaDs3LMjb47dupYWv0O+uW7SqRW7O8lA0clLp+Ln5PXWllFYXAokRVUyjdopBTW/soDv0Ta4rzs2uqJr7ZeXaK0DNdWrBORZeQUAdc7bvv7Bw3bq03nFt0p065CkQ+jE1Nba1Nmyde0PB6Am3+F/y+wxT7ZEhERUfEVYsEMvW1oF3FR6G3Xz2UAzCh9caX/5VWWVymWUCAqRQwclbh8Ln52X+tWcWs7KiMhzG1uwN0/fNHWHRV14T9lX0SFBQu5L0aUVdS0d5lE6dxGAT/R67xIve45EM8cy7QM9ByI47LpkxmYISIiIl+zEmjIN8jhNJih3W5NVbggNYm8oC3CbeUGnpPjXoolFIhKkafFsR966CHceOONuPHGG/Hd734XAPDyyy+js7MTixcvxv333+/l5gMhnyi73dfqrablFSWTpedA3HYarvYi29baZLvG0rSG7Klh4ZCESNjN8oTZlACQqKCfml7A77Hdh7Fl56Gc1djM3s8uo4AjEREVH/tfRPrMFsxQbtDl058y2oZeIWfRdhNjaVcLYzshOWyA3YCX0+Puh6LBREHgWcbRyy+/jJdeeglPPvkkJEnCF77wBXR1deF73/seHn30UVx44YW488470d3djfb2dq+aUfbyibLbfW2hUz7T8vgULifBKtE+1FZbKx4YkoBZF0/Gkd9n1yJKpWVIkvX3cWI0mcaWnQcxmpyIcikXzvq6KrRePFn3cxBdoJWAkptZSEwJnlCI4ppERHaw/0WkL9Ybx8hobh9OHWhwYyqbXtmBuc0NOVnjm589qLt4StJCXU+vWawSkcNuxo/T4846lkSF4VngqLGxEWvXrkVlZSUAoLm5GW+99RYuueQSzJgxAwDQ2dmJXbt2seOSh3wKFdt9rVmgySxwEK2QkBizt5S9k2CEaB9ivXEMj1gL9qRlCAtYA+MXz2hFGNGKsGeBEnXQaOKxNLbuPIjv3Nlm+7icHUllOiNuFIAslZRgr4M6hSiuSURkF/tfRGJ6JRckKTtz2o0bZHrBDFFwJJmSkUyV5nQ0PVbHIlZrp5phHUsi73k2Ve3yyy/HlVdeCQB46623sHPnTkiShMbGxsxzpk6dihMnTnjVhEBoa23Cyo6WzKC9oT5qa4UCO681SgUV/U2rtroSm9YuQk1V2LRtyl2ZkMX0WOV5evtgtiqFHUZFro1Y3Rc9758cBqD/OagLghsZTaaxcUdfVnq0HVZTgvVSsQvBjTRzM5yyR0R+xP4XkZheyQUlo0a7uIuW3Rtkba1NWL96PjatXYT1q+ejrbUpQNnZ5p1ubV9Nj99uTBIFlefFsX/729/izjvvxN/93d8hHA7jrbfeyvxNlmVIDibONjbWudjC0qPd/6UL6rB0weWO3svOa5cuqEN9XRW27jyIgZPDCIUkjCbTeOqlN7GiYzbu+j9XZv4m8sFQAo2NdQiFQgD076w0TqnGR1um4rlfH7NUlyhaEcb/+5d/igVXzdB9zgcuXqjrJlXg9Lkx26+zW2NJ64Ip1WhsrNP9HOz+lAaHEti66zDq66oMj52WevvvnxzGBVOqsaJjdtZ7vPDqO9i66zASYxOZTk62pWbnd//USzFhUOepl950/FvR0vtOKd9zrRdefcfwmJnheS+4+x/kfSfnvOh/NTTUutjC0sHfoLcKdXzz6QtGK8K4/aZWw7YaXeeVv7lNQv6rF3thNClj038eNOz3ifpqWlaOux/4vX2ljsfXW1aPr6eBo1dffRV333037r33Xtx444145ZVXMDAwkPn7wMAApk6davt9BwZOu9nMktLYWFfU/W+9eDJuvvrSrFTfgZPDePDx17GyowXfubMNazb0CO8enF8fxcDAacOgS0N9NPMeStDBTEN9JVovnmx4XM53OO1N5IyDoJFVkqQ/l3xFx+zMPoo+h8SY/VpQibEUHunqRevFk229rvXiyfjOnW1Zj6mP/yNdvTmfn9NtAfa/93rBy4GTw679fvS+U8r3XE2bHq/8ZoZOj1jKDiz2777Ygrz/Qdv3UEgKbHDCTV71vwYHzyCd712QEhO032ChFfL4Ou0LKtPMjPqaRtd5AJ6tSuznX2MqLRv2+/T6agorx90PeI7wFo+vt9TH16wP5lng6N1338WXv/xl3H///WhrGx9g/umf/inefPNNvP3225g+fTq6urpwyy23eNUE8ohZ8Tqz2klGNXrUU4usOj44jFhv3HAALmqTU15dpCUJWHDlNPQciOe0M1oRxvcfew3nq2r1uLXKXb7Lz4peU+wC2nrfsZAE0++KVXZqhLlRaJOIyAr2v4jEnPQFN61dZOl5ZtPXC7kqsZ/o9fuMSgc01EexfvV8r5pERA55Fjh6+OGHkUgksG7dusxjt956K9atW4e77roLiUQC7e3tWLJkiVdNII+YBQXMVjdY1t6sO4e8oT6KR39xyHab7K644DfRCgkrlsxGW2sTLps+Gdv2HMlauU095UspwOzWfqiXn9387MHMCh7KSh8K0eepVyC6piosXB2kUPPU9TqHaRmuFbC2s4pHsQNpRBQc7H8RiWmv2zVVYSTG0q6sXFau13mzlYT1+nsKvX6fUT1IK0W1iajwPAscff3rX8fXv/514d+eeeYZrzZLBWAlKGC0ukFbaxOOHjuF5/cdz/nb1CnVwsfNDA4lsGrdXsPBu7pNetPpCq0yEhIW8x41mHam3MFyuuqcdvvKBXrrrsM5nadkSsbWXYchy7Jw9TC9O2yVFRFURkKOVvtzg3I8H+7qy6kt5Wamj9VVPEplJToiKn3sfxHp0163Y71x/KirT1gmwOqiI0D+Kw8XWm11BOdGkob1N2uqwnjgK9fgrh90C/v9NVVhPPjV9pwbj4qwNBEE0manGx0PZmIT+ZNnq6pReYr1xoW1dNQXByuWX9+ChfOm5Tx+8O1TebXP6upZy9qbEba5YptbrKwAZ5bSPDiUsLSSnZnKivHXj3+u4jtGibGUbvq13oX/zHASo8m06b56qa21SbdDVOgOnNWV6IiIiKhw2lqb8IWb5iCi6RRGwhI+d+1My+8j6lcqfWOn/bWwNF6qwAvDJkGjykgIt103CwBw23WzIOoKnx1JYc2GHgDAX90wOyvQVlMVxqqb5mRlp1stR1HolXiJyBrPV1Wj8rK9u1+Y0puSJ9JOrQYH9vcP2t5+JCyZphSLMkq0dzrmNjdACknjDTegZDDlWx9JO71LaYvomFkJatRWR3JSrisjEsZSMmR5PDhlpX7pmeEktuw8hIqI/eiYlbtGaXkiQFKMO0h+yfSxM62NiIiICseta7S2XymFJBw9dgr7+wfHV7+FvTqZKRlIWVwoxo7KiITRpH5LQhJybvaFdfrfyg3blR0teOAr1wjfz25NTnVmO/tJRP7BwBHZYhQksHuit5v18f/d9mcYOj2CTV19ZvGenILP2jo8VqbDaQMeTuojaQv86dUEAiaOmZUpaPKHOdVKyrXyvsrjdha9GU2mMao/fV2X1aBaMYtA2ylg7TWr09qIiIiosPK9RoturCZTclZ/0y8roBkFjSJhCX91w+ysY6F303ji/Sb6eXYWTAH0+7xcQITIfxg4IlvMghp2TvR2avQsnDcNC66agdv/cZdp0Eh5b4WT1ce0d5uUDsWqdXstv4coQGFldS0rwRglPVi5MI+MJj1bsWPhvNyV3uwG1Yo1t5+ZPuRXTlYwJCJyA88/7vNbDSM9C+dNw/7+Qd32RitCOd8FK/s2OJSwvWBKSDJeMKdUjilRUDBwRLZYCWpYPdHrZYPMv6Ipc1HTdmjsvLfd9gDmS4BaDXbVVIVx23WzLF98lceVzpxSH8goc8jqXHGlzQ31USTGUoarY2gtnDcNy69vAQB0v34c6Q+nwc2/oiknqBbrjQuLUSttKBZm+niPgxB7rGQeEhF5oVzOP3677rixYInbQpKE9IeZ6CEJaL9yvE8X643rBmu0NyaXtTebrqwGjO+/3s1Rvax2ZaXbYq/EW+r89lug8sXAEdliJcPE6oneSTaIlQvzwnnTst7D6sVcbwqT+oRcWx1BWFMaKSwB1VXjF1WzfTCquaPtzCkBGEmCcLUPK8ymyplROhg9B+KZ9qRloOdAHJdNn5zZT+V99QJdc5sbnO0A+V65DEIKyUrmIRGRF8rh/OOn6466j5gvsxpIlZEQmi+qt7SQzPjNRxmhkIR0WsaUuigumz4ZwPgxemz3YWGwBsi+Mbmpqw9mPUal/6wXjDLih5V4S5mffgtU/riqGtnW1tqE9avn447OOXmvFKW816a1i7B+9XzTk5zZyhSRsJS5MBq9pjISwsJ50zJBLr1Vv7QrQZwZTkIKSaipCmded82V0yyveqHXlrnNDXi4q08Y0HEaNBJ9Fm2tTVjZ0WJppTjl2Bh1MhVm0wGdFEInsVhvHGs29GDVur2+WHnEyveDspllHhIReaUczj9+ue5o+4hasy+ZnNPni4QlRCtyO2GVkRAWzJum28cdX7FMthQ0kjBx8zH94T+0qw7fdt0sSyu9pWTjfqi6/+w0Q+jMcBIrO1pM++SUyy+/BQoGZhyRY8WoH2OW8ZRMyTl3zfJpp+iEnEzJSKdTuKNzDgDYivSL2jK3uSEro8ep2uoIohVh031sa20yvSukLCGr7JOI+nGzDmexOqTllr7r9M6Sl8ehHAYhheaX1f6IKHjK4fzjl+uO2U2zQ78/hQVXThOWX9C7Ll82fXLO4wAsLQyj0HuaOrNM1B+1e/w2rV2U9X+nqxA31EcdlxUot36eXX75LVAwMHBEeSlG/RizQtWik6XTduqdeJV52RURyXbKt7Ytazb05F3YujISwueunWl5H806CNVVEdNV3tSdTLP3M+uQenHhL8f0XSdTDLw+DuUwCCk0P632R0TBUg7nH79cd8xXwB2f2q/OnlGyhpX+zh2dc3JudmqvzWs29FgOGtlps3pbRnUqRUTH2ukqxImxFGK9cdt9knLs59nll98CBQOnqlHJ0jspunWyNJsCNJpMm84Pt7INp3cFlERnJym9ZlP+1EUQ9abXqTuZRu9n1iHVpnpr06mdKsf0XSd3lrw+Dla+H5RNmTLKtHwiKrRyOP/45bpjpb+pvt5a7e9op6S7mT0SknL7t0Z1KsPS+PQ6NaNjbVTOQs+Z4aSjfl859vPs8stvgYKBGUdUsry+a5bPhcdKZ0K5UDs1qSqMB7/a7ui1SgfRyipoVqb6aZ+jrAhXUxVGMgVs3NGHjTv6hKvNeVWosxzTd53cWfL6OBRjymo54Gp/RFQspX7+8ct1x+rULOV6a6W/I8qicVNaBjY/exBA9nEU7UNIAlbdNCfzHDvH2m720WgyjY07+rC9u9/yZ1mO/Ty7/PJboGBg4Ig85eXcY69PllYuPLXVEYyOpR0Fr8zmxpvRy3bSI/os/vqmOZaCb1Y6mdrnxHrj2PzsQSRV+dVnR1LY1NWXeT7g3YW/HNN3nQRLC3EcvBiEqL+vjVOqcfPVl7IjREREAPwR/FK2v23PEcPl6pUsHyv9nXz7hoBSgDuk209MpmRs23PEtB+Wlif20cmxNistIaJkYR09dkpYG0pNr38TkoBV6/YGJojih98CBQMDR+SZQsw9tnuytBPIMqvbo9QVApwFr9wIjFil91ms7GjByo6WnGLd27v7sXFHX14X3e3d/VlBI0VKRtbdNSuBjRdefQePdPXaOsblUMdBy0mwtBSPg/b7OnByOHB1C4iIKJffiiEr/dBYb1x3iXulLma0IozEWO7f1f0dJ31DdaBIe0z0gjbqQJfXN5jsFt4eTabx/L7jmf/rjR/0Mr6UTPog1jwi8hIDR+QZr6YgOWUWyNJ2RpTVzvTSd+df0ZTXnRgnK1io2Rn4G30W61fPN0yR3rijD0ePncLy61tstc9o39R/MwtsxHrj2LrrcKazZbUjUK7pu3aDpaV4HPx27iAiIndo+1q339SK1osnW36tX4shqwNIojIARllEc5sbMv826xtuWrvI9eBZPjeYrLRlWXuz6Wq+ZkR9AL0yCWavIyJnGDgiz/ht7rFZET1tZ6TnQBzzr2jKpMqqpT9cKeOy6ZMdX4ycLlsKjE+Rs7Ndq5+FXor08/uO295Xo86PnRpK27v7c+7QWe0IMH13XKkdB7+dO4iIKH+iwM9DT7yBFUtmWbpGlcJNhbbWJttBkv39g5l/GwVZlL6T3jVdFMSpm1SB0+fGcp5bUxXOajNg/waT1UBeW2uTbjaWHWarJttZbZmI7GPgiDzjtxozRoNRvc7I/v5BrF89X7iqRb6dFatz47XUU+SssvpZmK3OZXflNm2NI2B8hQ47NZQYRCgsP0wD8Nu5g4iI8ifqayXGUpb7F6XQH4j1xoWZL0bU7W9rbcLRY6eypmoB1leo1QZxrv3oDPziv9+GuisWloDbrpuV9XonN5jsBPJuu25W3llHZn0A9h2IvMXAEXnGb7VVjC4oZp0Rrzorba1N2N7dLwwcKR2PyoiEsZQMWc6dImdFrDeOkVFxYGpwKIE1G3oywQErx8IqUWBMtKqaGXYE8mc1GOSXaQB+O3cQEVH+8u1fFLo/YPdGitGy9kZqqyOZG5TKdi6bPtnydVtv5bLRZBq/OvQeVt00x/J+2NlnO5+nWSaW8tnqlYqw0gdg34HIW+H77rvvvmI3wq5z50aL3YSiqamJlsz+z5hai4bzqvB2fAjDifGCfZ+7dqbjAWi++143qRK/+d0gUqorupK9o7RRq7Y6go6PX4KX9h8X/r2hPorFH73YcZsA4CfPHRU+LgO4o3MO3jg60WYZwPH3z6LhvCrMmFpr+t5KJ2ZkVH863HAihd/8bhAN51Vh9h+dj9eODAifpxwLO2ZMrUXHxy/B1CnVeDs+hD+cHcPb8SHUTaq01H5g/HPrffMD4edm9T2A8WPxwM/ewE+eO4qX9h+31YZiy+e7r3wHlOCd+vPW7v8DP3sjJ4iZSst4Oz6U9/fcDu25o3FKNW795OW+mYpQSKV0zneDJEmYNKmy2M0gHcPDo5BtDopLXdB+g17S60spfzO7Lhv149y+ntu5diq++9iruv2t2ZdMxsmhEfz/7d17dFTl3S/w7yRDkoEECCFpag1KOWIkBaSUaiSUSzEQkgAiPYI9gPL6Uo9WemiX9bJqZbVKUdpFi0pXpYhYC4JWi6GAQlMphCxbUaECoqKoLAnGFJqETC4zs88fvHuYmezrzL7O/n7+Igmz59nPs2c/v/nt55L48cnw+RAKRXD+f+pFfJ+rrxiMxdUjMKtiKCrHDZF8z8QySgl2hnDnnJGoHDdE8VjJnLPe2Fju//fLyYQ/MwPBrjD6ZvsxftQluPqKwbq/Pxj9vUMr3iPMxfo1V2z9qsVgHHFEpnLS2ipqc7ilplUFO0NoPNJk6lMMpSdoqc7n17qtq3hMpfMRBEFyAXGl7VKldhnRO4qlvKwY/fNydO+qFsspI2nsoOcactI0gNh7R2FhHpqb2ywvAxERGUdpbUct/bKVmz1s2n1cV/zVeKRJcQ2fz88GsbhmRK+YSBAEJNaG1jhPS4w3OD+g+PdYm/e8p+uc9cbGUv8/0wd09URwvvPiCH9x199Vd4xXLbPUCCktryMi/Zg4ItdIZkv2RHKJLHHhvlA4vtMXt44XOyG9w4ZT3S5dbliv1i/yer7wxwZtUs53hnslX5S2S01M1sTSuz7UpLElcbuuNB5p6jWsW+lYblhQ0yx6kkGcFkhERGZJTPwk0tIvW/FAUikJJNenihutyGlp7YqWOzY2khvApyV+U/s/Wf4MLKy6SvU4wIVzlhu5JPc+WhJ5iTFx7KYzBf2z0dUT7vW+WuMzLz0UdML6k0RMHJErJLslux5qQYKWYCWZTkyp45ULrrR+kVfb1jVWhk95u1i1vwPxnb3ak7BkR7EkU8dOGkljNT3JIK4PQEREZhJjKSfvgKWUBJKLv9TKLb5O60jw2F3PlI6ptHvtnInDMGlsCZqb21QTD8mcM9A7ht28573oqKrcgB/BzlB0YW5xx+JFVaWG7ISm9lAwXZItXkqQkbMxcUSukMqW7FoZMdoi2ZEtckmpVL/IjxpW0GtnDgDw+RC3TkWWP0M1kNG62KPaguKiZEexJFPHXh5Jo+casnIaQKx0Ce6IiOgipXu7k/tlpfhFLv5SSuLE9rlaE2M+n0/1/8j177GJGUBb4kGpXIkbqcRKPHbs6CGpEUyJ8Voq14HSQ8F0SrZ4edQ8OQsTR+QKVowYSSZJkxgUGV3O2C/y/27twiCdX6oPn2iR/H2/HD+y+2TGBXNyo5v0Ejt7pe1otSS/Yuu2MD+A2RVDUV5WnFQde3kkjd5kkNXrkhkR3Lk18eTWchMRqVG7t8utdzRqWIEtZY29F+cG/JJJj9yAX/YeLXc+ibvJah0J3h4MqU7J19q/yyUe1tUdja5vqVYuub5Z6wiqxGOJUonPzFwj1Em8PGqenIWJI3IFK55M6f2CLRUUyUmlnOIXeaUFguW+gMqVqT0YwpoffKvX7+XWJNJDfDKlNEIp8WlYosS6bT4bjAYsyVwLdo2kcQonLVKfKNXgzq1PFd1abiIiLdTu7eVlxfjg1Lleo6Ib/tWE/3XpQMvug1L34kwf4M/0xW2YIu7eJicxzsgN+CEIAs53hqPTwJQSZlJiR3DL9Q9K/XvjkSb8eX+jpoTQ+JHFaPhXk2K5pPrmZJIX/XIy45JiieseaY3PzFwj1EmcPDqPvIWJI3KFOROHxa1xBJgzYkTPF2ytT1nMHtki9wX0g1PnZF8j1dmI571++1HN09LkqCXR1JJGUmWI3fktmadTTk6eeFmqT9Lc+lTRreUmItJCy71dalS01fdBqXtxWAD69cnAgH5+XckMMc7Q8mBATDD1y8lEV0+k166+ifTWi9IGJVLHPnyiBYuqSlVHnyf+Tc9amoD0LmqJ6x5p3QDFiDVC3TDy18uj5slZmDgiVzBiS3ajqSVHrCqn3BfQvW/3XttIJDdfXWrHDyNpmfq3cee7somr2F1JnNTR6wk83BCkWCnVJ2luHcLt1nITEWmh5d7uhPug3Hud7wzjsf83UdexYvv3RImjrZR2HjOiXvROIRPjK7Fc//dXe3utLQpcmK4XS88IKi27qBk1GldLssUtI3+dGPeSNzFxRK6RuCW73ZSColV3jDf8/V47+Klk4kwukFAbNSTXQSZ2UEprFWmhJ4mmFuiIAaeTRg/pCTzcEqTIMSPpleqTNLcO4ZYrd4bvwi4zYv3OnJRnQ+nkMfFJJI2fjXhSm3Mk3tudcP9WStTILQgtRcsIH7n3SYxpxNE2UmXVSm/yLXb6WG7AL5k0AgBBiA8IE2NGHwCpkFGMjdV2UdMzGlfPyC65neTcMvLXSXEveRcTR0RJsnLoaOORpriperGdo9IXULWEj9hBAr033PkQAAAgAElEQVQ7VzH5JRUMZfkzMH5kseSObbH0JtGUAh2xbtWCc6uDdz2Bh5uClERmJb1SfZLm1iHcck9pIzHbFm/c+S765+U4JmHu9sQnkVn42YjXeKQJDf9q6vX78SPjv/xatQyBEqURM1raUWmUUSKtiR+9/Vpi3DNqWIFsDJgb8KO7J9LrfM93hnG+80I7SC0MHvv/EsUmNeRiRrHsaslCPaOttKyjpfT5c8KINyI3YeKIKElWDh19ce+JXk9/1Nb80bLQIXAxMJIKeMX37g5FokGIeJ4AFBNHyQR/skmwDB8WVZUCgGJwLhW8r6s7Gl0kMXF3EyPoCTycFKToTbCZmfRK5UmaW4dwaxnZ1x2K4Jmdx/DI98ptKGFvbk58EpmJn414cqOHE9c0csIyBOIi3Xvf/kwy0aLUjnrWEdITE0n1a6OGFeDFvSewru5oXD1JxT1ysVnsAt+bdh+XTAKpyfDpL3tsm6olxbSOQms80qQpppJKqokLccsl15w+YpnILkwcEaXAqqGjSp2jXCcNAP84dgbd//PgSG74cIYPkgHv7+uOIjNmV5GIcLFzLy8rxt1rGxTLnPhkUQu5gOKu/301yoYMxN1rGxSDc7Wpbuc7w3hq+4UkklHtluX3oTvUu2Yzfei1uGO/nEzJQK1fTqYhZdEqmafjTkp6JXLrEO7YcssN3//ibNDKIily8jVAZCd+NuLpqQ+zliHQ+nBEHB2lNEJb7ny0riOUmOjRUi6lUTyxfbbWMmT44ne03bT7uOprpGhZuiCx7IkJr9hFuMXd59bVHcWLe09g1LCCXg895dYmkiMmftSSalLn4oYRy0R2YeKIyAXUnsBILbSYmIDJzPRBiAiI3bgjy58hG3AIQK9dPmKTNGoBsZYtdaUCqNiAQvzdpLElaG5uUw1GtQTpYQGGPgXukdkJJSz03krX55N+VCf3e7PofTreeKT3lAMRn8wZQ+4zPjg/YENppDlhPRIiJ+JnI57d9aHn4YiWxItcudVijix/Rq/dwpKZ0qjUZ2tNTkaE+PdIZrQRoK8N5UaBi8eZPOaSuCRRS+uFHdbGjyyOjgrSujaRKDbxoyepFjui3o0PooiswMQRkQvoXQdAqrMMhQXkBvzI7pMZ1xnrCTyAi4GS2hasasP05QKoRVWlsusiqQWjWreFTeUpcGKyS9C4cLhS8KK0noAZ9D4dF9fBksInc8aQG223sOoqG0sVz63rSRGZjZ+NeHbXh56HI1qSP3LlVoo5xNHcYv8pNypay5RGpT5ba9xjRNJObxsqJW7kptR1hyI4fKJFcX1MpfONTdTpSao9de8UTf+XyMuYOCJyAb3rAMh1lu3BENqDIeQG/HGv1zpHH7gYfGjZgjWxHLFJF7k1XZQCKLVgVOu2sHoDKLnFL42ahmD1U2m9T4OVzpNP5owhN+VUHG3nBG5dT4rIbPxsxLO7PvQ8HFFKvKiVWyrmyPQBvoyL0/xjRxUlO6VRaRMUqd3rEkklfHIDfl0PrcSpbkDvafh6Y1E1ydZHQf/suLJYmVQj8gImjohcQs86AGqdZXswhA07jgG4GOCt335Ude56bPCRGBjKlUOUOMJI7r20JCnkglEtZcr06Rslo2fxSzX9cjLRExJsfyqt92mw3dMOvMINazW5oYxEduBnI56d9aGnz5LrD2NHrsiRikm6esK9EjLiQzGl2KzxSJOuBBVwIY5q+FeT7FqLIqk1J+dPHY4NO47FLUngz/RhwqgvS64xpGWDkkRaEzdSr1OiNYbR8jDRyyMDifTKXL58+XK7C6FXR0e33UWwTb9+2Z49fy+fO6Dv/PP6ZuGdD1sQVsgERQTg46ZWVI4bgpKiXBTmB3q9JtMH9Av40R2KoKB/NuZPHR4XHJQU5aJy3BAUSbxW3L2jpCgXALDmhUOanm7lBvyouvYy2XMX33NWxdBo2WPF/r0oP4D3Pj0bDRr65WRiYdVVuoJZreXO8F1YFyrDB5ReNhCt57t71ceCaaW4+orB+LipFcGucFydNh5pwpoXDuG5v36A/Yc/Q17frOi5GX3tlxTlomBAjmQ5pEhdT4ntayYvf/a9du4+nw99+2bZXQySEQx2a56emy689hm0mhn1q6fP0tsfJvbVV10+CIurR0Rjkudfk57aHewK4/9UXok332uW/LsYj0kRy/j2+829NjkJRwQEsv3Rf0tp6+judeySolwMHhiIO++brx+O6vLLZetDKh4KRwTZsmuJRRNpiS20tpnU/7t2xJfQ1tGtqa214j3CXKxfc8XWr1oMxhFHRGlIy8gbIH50TypDy7W8VutTJ0HhW4neLeSNeOKpdZhz4nx8pbImlinZBTNToadu7J52QEREpJXePktrf6ilr1abRiUuDp1ILdZQem17MIT/rh2h+9hy5y33e71T7bSMaJ885hLFhbDlaG0zjgQkMg4TR5QUvV/gyXpiZynORZeSOBw4lQ5W7bVahyzL7fRhR3IFUC+3OMxZ6jOhtLhjLLkFM9dvP4p1dUdRmB/A7Iqhtn7GGHwREcljXOQsalvCJ9M2Wha3VptGlcrUb7WklNzDwn45mZrXJUr2/eUoJbwAYMG0Ut3lICJ7cKqayzhhuJ74BV4crhrsCuOdD1tQMCDH1GkrTjh3O/3z3c+x6o8HJacyKcnrm4VDEsOb/Zk+3Hx9/HBgpelSqdI6ZLmgf3avIc/9+mXjFxv/qWuItFGUyi0Ocwag+plQqtvn/vqB5HuL79jRGbLkM2YlPdealz/7Xjt3TlVzNk5Vk2ZXXORUTrq/G9k2cn11sCuMbfs/ik5dk5uSDqQ29VvttVJ/z8zwIRwRcL4z+fMX21MqaaSl7HUNH/WKQUX7D39mSsxpJa/101Zj/ZqLU9XIVMluJ0rJazzShGd2HUdXz4XROHpG24h/37T7eHQ0T27A32tet9kjehKHjucG/Ah2hhCzLqPiIoVqQ6TNetqrZcj73WsbFD8TanWrZTRWOn3G7Bo9RkRkBsZFFznt/q7WNnpiB7W+WjzXRVWlsiOOzVwWQOrv3aEI2jp6ZM9fjdIGIVrLrvS8UKxPu68TIlLHxBHplux2opS8F/eeiCaNRHo6fi3TjKwIfBPLYUTAVtA/25Kkl9JxlD4Td69tQFdPWLFutez8ofQ+bsMvWUSUThgXXeS0+7tS2+iNHbT01VrO1cxlARL//l8r6yX/n9ZrU6o9Aem1HeVoXaqAcQCRs2XYXQByH7m5zNya2zxWBKV2BL7lZcVYdcd4PHXvFKy6Y7xisDBn4jBk+eNvWeIIJaVA1QpK135La5fsrmxi3ZaXFWNRVWn0OBk+/e/jJvySRUTphHHRRU67vyu1jd7YobysGONHqic1nNSXDc4PSP5e67VpRHtKxW9634+I7MfEEemm9AWezGFFUOr0wDcxuVLQPxuLqkpRXlasObBpPNKEu9c2YPHKety9tgGNR5oMKZueoChWbN3GJtH+q2ZEWn/GnH6tERHpwbjoIqfd35XaJpmkyOETLarv6aS+bGHVVUlfm41Hmgx5kCUVv+UGpCe9OKnuiCgep6qRbtya2xxK07bmTBwWt8YRYHxQqrYTiBPIDdFWGgZ999qG6DmYNZ0t8TOhhVLdJh7PCbuqGckN1xoRkVaMiy5y2v1dqW3k+my1UcRKzDjXVNZwnDS2BK1tnbpfL07jk1qfKJlzlFqqQOk64S6FRM7DxBElhVtzG0ttnn15WTH65+Xg6e1HTOtE3Rz4Kq07INZlVp8MU9ddENtJ3PJWidTi5HLHA4DCwjw0N7elXEancPO1RkQkhXHRBU68v8u1TTJJLqUHVWacqxFrOCZzbcqtbQQA40emfq0rXSdOW2CdiC5g4ojIAbQsJjlpbAnKhgw0tRyJHbk4z9/pHbXaiJ/uUEQ2ADJ6VzYti2dm98m0rU7NeIqXzDH5JYuIyF5m7kbqpPu73Hkmk+SSSzaJU+fNKHMiKxaRTnW6nhZy14nTFliPJXUtzZyUZ2uZiKzCxBGRA6S6+KBRwZ+bn/KIAchimR1ElNz1673o6okgFL4wJjuV89Yybc2uxR/NaF87rxkOZSciSo5Z/YHT7slaRnTrKaMVI6qkpnElMjuOUBpZJe5IZ1bbOi12EsldS/3zckx/sEvkBKYujt3e3o6amhqcOnUKAHDgwAHU1taisrISq1evNvOtiVwllcUkxY5M7FDFjiyZhZ/t3p3MCHJ11i8nU3YB6/Od4WjSSJTKeYsLXTttkVAz2teua8bI654oHTEGIyVG37udek82o4/SsyNsMpSmiYnMjiPU1jAys22dFjuJ5K6lZ3Yes6lERNYyLXF06NAhzJ8/HydPngQAdHZ24v7778fatWuxY8cOvPPOO9i7d69Zb0/kKqnsyGJkUOTUpzx6yNXlzddfGberhxapnrfTdtoxo33tumbSIclJZBbGYKTG6Hu3U+/JboxrtJTN7DiivKwYk8dcIvt3M9vWabGTSK5dvjgbtLgkRPYwLXG0detWPPjggygqKgIAHD58GJdddhlKSkrg9/tRW1uLXbt2mfX2RK6itNW8GiODIqc+5dFDqS7Fp4RapXreqbSrVo1HmnD32gYsXlmPu9c2KD4BNKN97bpm3PhlgMgqjMFIjdH37lTuyXr6Mb3cGNdoKZsVUwAXTCvFf9eOkP27Wf2tFbFTMuTaZXB+wOKSENnDtDWOHn744bifP//8cxQWFkZ/LioqwpkzZ5I6dmGhtxch8/L5p/O5z5yUh5mTrlD8P1LnX5gfQLPE047C/IDu+rqlpgyPP38IXT3h6O+y+2TilpoyyWO9dvBTPLPzGL44G8Tg/AAWVl2FSWNLdL2nVnrORa0u5eosltJ56xFbFrG+fl93VHd9ydb/ruPR9mpp7cIzu46jf16O5HH1tq8WZhxTSuKxjLzunS7dzofMZ1YMVlCQm3LZ3CgdP4NG37uTvSfr7cf0sqqPMpJUmWPp7edSOc+Zk/Lw5/0fJd3fKsWJSn/TEhNbTe5aWlh1lWOvpXTB+jWX1vq1bHHsSCQCn88X/VkQhLif9Uinban1SrdtufXw8rkD8uc/u2Ko5A4fsyuG6q6vsiEDsXD6lb0WfSwbMrDXsRIXCWw+G8RjW99Ga1un4U+FjG57qTrL9AGBHD/agyHF805WKvUld/5Pbz/SK7Ds6gnj6e1HJBdq1NO+WplxzERS52/kde9kXrvvZWT4PJucMJNRMVhLSzsiEUH9P6aRdP0MGn3vTvae/MzOY7r6Mb2s6KOMJpZ585730B4Mxf1Nbz9nxPWbbNsqxT0ALIshjSJ3LU0aW+LYaykdpOs92Cli61ctBrMscVRcXIzm5uboz83NzdEh1ESUPKN3+NC6w4iTt0tVY8WuKInMqK9kpgaYsU2yHVsv29GGRG7FGIykGHnvTvaeLLc+jJHToOzoo1IlltkJO9Ul27Zq6165MYZ047VEZBTLEkejR4/GRx99hI8//hiXXnoptm/fjhtvvNGqtydKa3Z0ZG5fY8bqOjOjvuS2y3Xy2g1GYgBHpA1jMLJCMvfkwTJT3LzSj6lxSj+XTDmSiXvcEkMSeZFliaPs7GysXLkSd911F7q6ujBx4kRMnz7dqrcnIoM5IWnhhCdxWplRX3MmDpMcPm73ziNWcVP7E9mJMZj7eOX+trDqKjy29W3P9mNGceL1ohb32B1DEpE+pieO6uvro/8uLy/Hyy+/bPZbEpEF7E5aJM6db2ntwsad7wKwZrcRvcyoLz3Dx50YVKbCbe1PZAfGYO7kpfvbpLElaG3rTKv+yWpK18vMSfoWFTYyVlCLe7z84IvIjSwbcURE6cXsNWZig5fC/ABmVwyNO7bVayylGkyZVV9aho/r/RLihiST29bYckOdEpEzuO3+liqnTMfSysj7uRHH2rT7uOz1omdnMqMTllriHjv7RfbLRPowcURESTMr2PvDK+/ib299Fv25+WywV/Bi5RpLRgVTifXVeKQJd69tMD1o0fMlxC1Put20xpZb6pSInMFN9zc3SiVhYOT9PNljxZa/X04mzneGJf+f3uvFjISlUpxoZ8KQ/TKRfhl2F4CIKFbjkaa4pJEodicOQH4evBnz49V2BkmGGLSIgZ0YtDQeaUqprFL0fAkx41y1EhNpi1fW4+61DYp1YWX7p8rOOiUi93HT/c0sevoDvcdNpe818n6ezLESyy+XNAL0Xy9eSliyXybSj4kjInIUpU47NniZM3EYsvzxtzCz5sebEUxZGbTo+RJiV+CoN5i3sv1T5aVgnIhS56b7mxnMfLCSat9r5P08mWNJlV+O3uvFSwlL9stE+jFxRESOotRpxwYv5WXFWFRVGv1dQf9sLKoqNWWIsRnBlJVBi54vIXYFjnqDeSvbP1VeCsaJKHVuur+ZwcwHK6n2vUbez5M5ltZy5gb8uq8XLyUs2S8T6cc1jojIUeS2bwV6Pz2zan68GTuiqW1Tq4faeg16Fua2a7e8ZIJ5tyyoavcOhETkPm65v5nBzAcrqfa9Rt7PkzmWUowUe4z5U4frLo/Zm57YLXFtKH+mD6GwEP07+2UiZUwcEZGjSAVSADB5zCW2BS9mBFNGBZ9aF3jU+iXErsDRyESaHlbsqpLuwTgRkV7ivfffrV0YlHBPNLM/SLXvNfJ+nsyxpMqf6QMCOX60B0Mp9y/pmrBMjJXOd4aR6bswMsuIeiPyAiaOiMhRpAKpW2rKUDZkIAD7tk81OpgyKvi0eheUVCi1XSrBfLLXhJW7qqRrME5EpJfavdeIByty/YIRfa+R93O9x3LDgwi1PtmOOE4qVgoLQHafTKz5wbdMfW+idMHEERE5TmIgVViYh+bmNldvn6oWxCbLLQs8qrVdssFwKteEGUk3t7ErEUtExnPL51nt3ptqckRLf5N4LLfUHeDsBxFqdW9XHOeWWInIyZg4IiLXcOsXfTMDJbumeOmlpe2SCYZTuSa8Hki6ORFLRPHc9HnWcu9NJTmit19wU905nVrd2xXHuSVWInIy7qpGRK7h1i/6Zu4Q45ZdUMxqu1SO6/VdVcy8LonIWm76PJt979XbL7ip7pxOre7tiuPcEisRORkTR0TkGm79om9moOSWbZvNartUjuv1QNKtiVgi6s1Nn2ez7716+wU31Z3TqdW9XXGcW2IlIifjVDUicg23bmtu9hBpJ693INLbdrHrTRTmBzC7YqjkOaZyTbhhkVEzceg+Ufpw0+c59t4rtataqvT2C06vOzetv6RW93bGcW6IlYicLHP58uXL7S6EXh0d3XYXwTb9+mV79vy9fO6At89fPPeSolwUDMjBx02tCHaFUdA/G/OnDnd8IJDXNwvvfNiCcESI/i7Ln4H5U4ejpChX9fXp0PZ62k5cb6I9GAIAdHSG8M6HLSgYkNOrvlK9JkqKclE5bghmVQxF5bghmtrDSma2farXpRl8Ph/69s2y5b1JXTDYDUFQ/3/pxC33Xyd+npWI997bbhiF8WVfMrSMevsFJ9ddYn8Y7ArL9odSrL5+1ererXGcErfcI9yK9Wuu2PpVi8E44oiIXMWNT4y8PrJFpLXt9C6e6cZrwgl4XRKlD36e4+npF5xcd27cFESt7tlnE7kTE0dERBZgoKQd15uwDq9LovTBz3PynFp37A+JyCmYOCIi8iAnr5ng9PUmiIiIrJBMf6h1jUAiIj24qxoRkceIaybEbo+7cee7aDzSZHPJLvD6bmdERESA/v4wsX9vPht0VP9ORO7FxBERkccorZngBInb5hbmB7htLhEReY7ebeSd3r8TkXtxqhoRkU5OnualhRvWTIhdb6KwMA/NzW1xf3d7GxARkXMZ3cekcjw96y+5oX8nIndi4oiISAdxGLj4RE+c5gXANYkLt68hlA5tQEREzmR0H2Nln+X2/p2InItT1YiIdEiHYeBuX0MoHdqAiIicyeg+xso+y+39OxE5F0ccERHpkA7DwMUnnG6d6pUObUBERM5kdB9jZZ+V2L9zVzUiMgoTR0REOqTLMHA9ayY4Tbq0AREROY/RfYzVfZbaGoFERMngVDUiIh04DNx+bAMiIjKL0X0M+ywiSgcccUREpIPbp3mlA7YBERGZxeg+hn0WEaUDJo6IiHRy8zSvdME2ICIisxjdx7DPIiK341Q1IiIiIiIiIiKSxMQRERERERERERFJYuKIiIiIiIiIiIgkMXFERERERERERESSmDgiIiIiIiIiIiJJTBwREREREREREZEkv90FSEZGhs/uItjKy+fv5XMHvH3+Xj53gOfv5fP30rl76VzdyKvt49Xztgrr11ysX/Oxjs3F+jWXWL9q9ewTBEGwokBEREREREREROQunKpGRERERERERESSmDgiIiIiIiIiIiJJTBwREREREREREZEkJo6IiIiIiIiIiEgSE0dERERERERERCSJiSMiIiIiIiIiIpLExBEREREREREREUli4oiIiIiIiIiIiCQxcURERERERERERJJckziqq6vDjBkzUFlZiT/+8Y92F8dyCxYsQHV1NWbNmoVZs2bh0KFDdhfJdO3t7aipqcGpU6cAAAcOHEBtbS0qKyuxevVqm0tnvsTzv++++1BZWRm9Bnbv3m1zCc3z+OOPo7q6GtXV1Xj00UcBeKf9pc7dS23/m9/8BjNmzEB1dTU2bNgAwDttD0ifv5fan8hpHnnkEdx77712FyPteDGutVp9fT3mzJmDqqoqPPTQQ3YXJ608//zz0Wt31qxZGDt2LH72s5/ZXay0sm3btmg8/Mgjj9hdnLT05JNPYtq0aaitrcVvf/tb9RcILtDU1CRMnjxZOHv2rHD+/HmhtrZWeP/99+0ulmUikYhQUVEh9PT02F0Uy7z99ttCTU2NUFZWJnz66adCMBgUJk6cKHzyySdCT0+PsHjxYuG1116zu5imSTx/QRCEmpoa4cyZMzaXzHwNDQ3CTTfdJHR1dQnd3d3CwoULhbq6Ok+0v9S5v/rqq55p+9dff12YN2+e0NPTIwSDQWHy5MnCsWPHPNH2giB9/idOnPBM+xM5zYEDB4RrrrlGuOeee+wuSlrxYlxrtU8++USoqKgQTp8+LXR3dwvz589P277Tbu+9955w/fXXCy0tLXYXJW10dHQI48aNE1paWoSenh5h7ty5QkNDg93FSisNDQ1CTU2N0NbWJoRCIeF73/ue8Morryi+xhUjjg4cOIBrr70WAwcORN++fTFt2jTs2rXL7mJZ5sMPPwQALF68GDNnzsSzzz5rc4nMt3XrVjz44IMoKioCABw+fBiXXXYZSkpK4Pf7UVtbm9bXQOL5B4NBfPbZZ7j//vtRW1uLNWvWIBKJ2FxKcxQWFuLee+9FVlYW+vTpg2HDhuHkyZOeaH+pc//ss8880/bf/OY38cwzz8Dv96OlpQXhcBitra2eaHtA+vxzcnI80/5ETnLu3DmsXr0at99+u91FSTtejGuttnv3bsyYMQPFxcXo06cPVq9ejdGjR9tdrLS0fPlyLFu2DIMGDbK7KGkjHA4jEokgGAwiFAohFAohOzvb7mKllaNHj6KiogK5ubnIzMzEhAkTsGfPHsXXuCJx9Pnnn6OwsDD6c1FREc6cOWNjiazV2tqK8vJyPPHEE3j66afx3HPPoaGhwe5imerhhx/GN77xjejPXrsGEs//iy++wLXXXosVK1Zg69ateOONN/DCCy/YWELzXHHFFbj66qsBACdPnsTOnTvh8/k80f5S5z5hwgTPtD0A9OnTB2vWrEF1dTXKy8s999lPPP9QKOSp9idyip/+9KdYtmwZ+vfvb3dR0o4X41qrffzxxwiHw7j99tsxa9YsbNq0CQMGDLC7WGnnwIED6OzsRFVVld1FSSu5ubn4wQ9+gKqqKkycOBFf+cpX8PWvf93uYqWVsrIy7N+/H+fOnUNXVxfq6+vxxRdfKL7GFYmjSCQCn88X/VkQhLif092YMWPw6KOPIi8vD4MGDcLcuXOxd+9eu4tlKa9fAyUlJXjiiSdQVFSEQCCABQsWpP018P7772Px4sX48Y9/jJKSEk+1f+y5f/WrX/Vc2y9duhSNjY04ffo0Tp486am2B+LPv7Gx0XPtT2S3559/Hl/+8pdRXl5ud1HSEuNa84XDYTQ2NmLFihXYsmULDh8+jJdeesnuYqWd5557DrfeeqvdxUg77777Lv70pz/hb3/7G/bt24eMjAysX7/e7mKllfLycsyZMwcLFizAbbfdhrFjx6JPnz6Kr3FF4qi4uBjNzc3Rn5ubm6NTeLzgjTfeQGNjY/RnQRDg9/ttLJH1vH4NHD9+HK+88kr053S/Bg4ePIhbbrkFP/rRj3DDDTd4qv0Tz91LbX/ixAkcO3YMABAIBFBZWYnXX3/dM20vdf47duzwTPsTOcWOHTvQ0NCAWbNmYc2aNaivr8eKFSvsLlbaYFxrvsGDB6O8vByDBg1CTk4Opk6disOHD9tdrLTS3d2Nf/7zn5gyZYrdRUk7+/fvR3l5OQoKCpCVlYU5c+bgH//4h93FSivt7e2orKxEXV0d/vCHPyArKwslJSWKr3FF4ui6665DY2Mj/v3vfyMYDOLVV1/Ft771LbuLZZm2tjY8+uij6OrqQnt7O1566SVcf/31dhfLUqNHj8ZHH30UHXq7fft2T10DgiBgxYoV+M9//oOenh5s2bIlba+B06dP484778Qvf/lLVFdXA/BO+0udu5fa/tSpU/jJT36C7u5udHd3469//SvmzZvnibYHpM9/3Lhxnml/IqfYsGEDtm/fjm3btmHp0qWYMmUK7r//fruLlTYY15pv8uTJ2L9/P1pbWxEOh7Fv3z6UlZXZXay0cvz4cVx++eXo27ev3UVJO6WlpThw4AA6OjogCALq6+sxcuRIu4uVVk6dOoU77rgDoVAIbW1teOGFF1SnXLoivf+lL30Jy5Ytw8KFC9HT04O5c+di1KhRdtFAekkAAAV5SURBVBfLMpMnT8ahQ4cwe/ZsRCIR3HzzzRgzZozdxbJUdnY2Vq5cibvuugtdXV2YOHEipk+fbnexLFNaWoolS5Zg/vz5CIVCqKysRE1Njd3FMsX69evR1dWFlStXRn83b948T7S/3Ll7pe0nTpyIw4cPY/bs2cjMzERlZSWqq6sxaNCgtG97QPr8v//97yM/P98T7U9E3sC41nyjR4/Gbbfdhptvvhk9PT0YP348brzxRruLlVY+/fRTFBcX212MtFRRUYGjR49izpw56NOnD0aOHIklS5bYXay0UlpaisrKSsycORPhcBi33HILxo4dq/ganyAIgkXlIyIiIiIiIiIiF3HFVDUiIiIiIiIiIrIeE0dERERERERERCSJiSMiIiIiIiIiIpLExBEREREREREREUli4oiIiIiIiIiIiCT57S4AEaWvU6dOoba2Fm+99Vavv61btw7bt2+HIAiIRCKYMGECli1bhs7OTixYsAAA0NHRgTNnzmDo0KEAgOuuuw733HMPenp6MHnyZJSWluL3v/89AODJJ5/EX/7yFwDAJ598gvz8fOTl5QEAHnvsMQwZMsSKUyYiIiJyvCuvvBLDhw9HRkYGfD4fgsEgcnNzsXz5cowcORIvvvgi7rvvPtx5551YunRp9HWCIGDq1KkIBALYvn27jWdARFZi4oiILLdz507s2bMHW7ZsQU5ODrq6urB06VI8/vjj+OEPf4ht27YBAF5//XX8/Oc/j/4s2r17N0pLS/HOO+/gxIkTGDZsGJYsWYIlS5YAABYsWIDvfve7mD59uuXnRkREROQGGzduxKBBg6I/r1+/Hg899BC2bNkCALjkkkvw8ssvxyWO3njjDXR2diIQCFheXiKyD6eqEZHlmpubEQ6H0dnZCQDIzs7GAw88gKlTp2p6/ebNm/Htb38bM2bMwMaNG80sKhEREVHaC4VCOH36NAYMGBD93fDhw9G3b1+8+eab0d+99NJLmDlzph1FJCIbMXFERJa74YYb0L9/f1RUVOCmm27CypUrcfr0aYwaNUr1tR988AHeeustTJ8+HbNnz8a2bdtw9uxZC0pNRERElD4WLVqE2tpaVFRUYNq0aQCAX/ziF3H/R4y1ACAYDOLgwYOYMGGC5WUlInsxcURElsvLy8NTTz2FnTt3Yu7cuWhpacGSJUuwatUq1ddu3rwZkydPRn5+PkaNGoVLL70UW7dutaDUREREROlj48aNqKurw+9+9zt0dnbimmuuQUFBQdz/qa2txe7du9Hd3Y3du3djypQpyMzMtKnERGQXJo6IyHLr1q3Dm2++iZKSEnznO9/BqlWrsG7dOmzatEnxdR0dHdi2bRsOHjyIKVOmYMqUKWhubsazzz6Lnp4ei0pPRERElD7Kyspw33334d5778WpU6fi/lZYWIgRI0bg73//O/785z/jhhtusKmURGQnJo6IyHKdnZ341a9+hXPnzkV/995772HEiBGKr6urq8PAgQOxb98+1NfXo76+Hnv27EFHRwd27dpldrGJiIiI0lJNTQ1GjRrVa6oacGG62oYNG9DW1obhw4fbUDoisht3VSMiU3V0dGDMmDFxv9u8eTN8Ph/mzZsHn8+HSCSCr33ta/j1r3+teKzNmzfj1ltvjRsi3b9/fyxYsABPP/00amtrTTkHIiIionT3wAMPYObMmdi3b1/c76dOnYoHH3wQy5Yts6lkRGQ3nyAIgt2FICIiIiIiIiIi5+FUNSIiIiIiIiIiksTEERERERERERERSWLiiIiIiIiIiIiIJDFxREREREREREREkpg4IiIiIiIiIiIiSUwcERERERERERGRJCaOiIiIiIiIiIhIEhNHREREREREREQk6f8DB/JCQBlla9IAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.figure(figsize=(20, 5))\n",
"\n",
"features = ['LSTAT', 'RM']\n",
"target = boston['MEDV']\n",
"\n",
"for i, col in enumerate(features):\n",
" plt.subplot(1, len(features) , i+1)\n",
" x = boston[col]\n",
" y = target\n",
" plt.scatter(x, y, marker='o')\n",
" plt.title(col)\n",
" plt.xlabel(col)\n",
" plt.ylabel('MEDV')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Observations:
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
">> The prices increase as the value of RM increases linearly. There are few outliers and the data seems to be capped at 50.\n",
"The prices tend to decrease with an increase in LSTAT. Though it doesn’t look to be following exactly a linear line."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Preparing the data for training the model
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> We concatenate the LSTAT and RM columns using np.c_ provided by the numpy library."
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [],
"source": [
"X = pd.DataFrame(np.c_[boston['LSTAT'], boston['RM']], columns = ['LSTAT','RM'])\n",
"Y = boston['MEDV']"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Splitting the data into training and testing sets
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Next, we split the data into training and testing sets. We train the model with 70% of the samples and test with the remaining 30%. We do this to assess the model’s performance on unseen data. To split the data we use train_test_split function provided by scikit-learn library. We finally print the sizes of our training and test set to verify if the splitting has occurred properly."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(354, 2)\n",
"(152, 2)\n",
"(354,)\n",
"(152,)\n"
]
}
],
"source": [
"from sklearn.model_selection import train_test_split\n",
"\n",
"X_train, X_test, Y_train, Y_test = train_test_split(X, Y, test_size = 0.3, random_state=5)\n",
"print(X_train.shape)\n",
"print(X_test.shape)\n",
"print(Y_train.shape)\n",
"print(Y_test.shape)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Training and testing the model
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> We use scikit-learn’s LinearRegression to train our model on both the training and test sets."
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LinearRegression()"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error\n",
"\n",
"lin_model = LinearRegression()\n",
"lin_model.fit(X_train, Y_train)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
Model evaluation
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> We will evaluate our model using RMSE and R2-score."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"The model performance for training set\n",
"--------------------------------------\n",
"RMSE is 5.291267334085863\n",
"R2 score is 0.6493177656003104\n",
"\n",
"\n",
"The model performance for testing set\n",
"--------------------------------------\n",
"RMSE is 6.041044703455955\n",
"R2 score is 0.6162026947666575\n"
]
}
],
"source": [
"from sklearn.linear_model import LinearRegression\n",
"from sklearn.metrics import mean_squared_error, r2_score\n",
"\n",
"# model evaluation for training set\n",
"y_train_predict = lin_model.predict(X_train)\n",
"rmse = (np.sqrt(mean_squared_error(Y_train, y_train_predict)))\n",
"r2 = r2_score(Y_train, y_train_predict)\n",
"\n",
"print(\"The model performance for training set\")\n",
"print(\"--------------------------------------\")\n",
"print('RMSE is {}'.format(rmse))\n",
"print('R2 score is {}'.format(r2))\n",
"print(\"\\n\")\n",
"\n",
"# model evaluation for testing set\n",
"y_test_predict = lin_model.predict(X_test)\n",
"rmse = (np.sqrt(mean_squared_error(Y_test, y_test_predict)))\n",
"r2 = r2_score(Y_test, y_test_predict)\n",
"\n",
"print(\"The model performance for testing set\")\n",
"print(\"--------------------------------------\")\n",
"print('RMSE is {}'.format(rmse))\n",
"print('R2 score is {}'.format(r2))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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