diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb
index fad60daab..d69a4b82d 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -1205,7 +1205,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 2,
    "id": "b550fbbe",
    "metadata": {},
    "outputs": [
@@ -1213,7 +1213,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[ 2.00000000e+00 -5.21804822e-15  5.00000000e+00]\n"
+      "[ 1.93918379  1.05631924  1.04975077  5.1874182  -2.22521131]\n"
      ]
     }
    ],
@@ -1222,15 +1222,15 @@
     "# First we set up the data\n",
     "import numpy as np\n",
     "x = np.random.rand(100)\n",
-    "y = 2.0+5*x*x#+0.1*np.random.randn(100)\n",
+    "y = 2.0+5*x*x+0.1*np.random.randn(100)\n",
     "# and then the design matrix X including the intercept\n",
     "#  The design matrix now as function of a fourth-order polynomial\n",
-    "X = np.zeros((len(x),3))\n",
+    "X = np.zeros((len(x),5))\n",
     "X[:,0] = 1.0\n",
     "X[:,1] = x\n",
     "X[:,2] = x**2\n",
-    "#X[:,3] = x**3\n",
-    "#X[:,4] = x**4\n",
+    "X[:,3] = x**3\n",
+    "X[:,4] = x**4\n",
     "beta = (np.linalg.inv(X.T @ X) @ X.T ) @ y\n",
     "print(beta)\n",
     "# and then make the prediction\n",
@@ -1269,7 +1269,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 3,
    "id": "ae3d0b17",
    "metadata": {},
    "outputs": [],
@@ -1288,7 +1288,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 4,
    "id": "9b073a72",
    "metadata": {},
    "outputs": [
@@ -1296,7 +1296,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1.0\n"
+      "0.9951013500487981\n"
      ]
     }
    ],
@@ -1314,7 +1314,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 5,
    "id": "7ad18065",
    "metadata": {},
    "outputs": [
@@ -1322,7 +1322,7 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "1.9895184688083084e-22\n"
+      "0.010861520579271734\n"
      ]
     }
    ],
@@ -1643,7 +1643,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 7,
    "id": "f48cac43",
    "metadata": {},
    "outputs": [