rewriting reg analysis

doc/pub/Regression/ipynb/Regression.ipynb

@@ -1649,9 +1649,67 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 1,
    "metadata": {},
-   "outputs": [],
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "X_train:  (37, 1)\n",
+      "y_train:  (37,)\n",
+      "X_test:  (13, 1)\n",
+      "y_test:  (13,)\n",
+      "------------------------------------\n",
+      "Ordinary Least Squares\n",
+      "Prediction Shape:  (13,)\n",
+      "Coefficients: \n",
+      " [0.54090544]\n",
+      "Mean squared error: 4.92\n",
+      "Variance score: 0.11\n"
+     ]
+    },
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/usr/local/lib/python3.7/site-packages/sklearn/linear_model/base.py:509: RuntimeWarning: internal gelsd driver lwork query error, required iwork dimension not returned. This is likely the result of LAPACK bug 0038, fixed in LAPACK 3.2.2 (released July 21, 2010). Falling back to 'gelss' driver.\n",
+      "  linalg.lstsq(X, y)\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "------------------------------------\n",
+      "Ridge Regression\n",
+      "Ridge Coefficient:  [0.54089262]\n",
+      "Ridge Intercept:  4.6076494432587065\n",
+      "------------------------------------\n",
+      "Lasso\n",
+      "Lasso Coefficient:  [0.54002825]\n",
+      "Lasso Intercept:  4.623208095009552\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "import matplotlib.pyplot as plt\n",
     "import numpy as np\n",