From b4954d5316bc9f7403a4b77b0b80e4b33aebcdc3 Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Mon, 28 Aug 2023 09:20:43 +0200
Subject: [PATCH] update

---
 doc/pub/week35/html/._week35-bs017.html      |   4 +-
 doc/pub/week35/html/week35-reveal.html       |   4 +-
 doc/pub/week35/html/week35-solarized.html    |   4 +-
 doc/pub/week35/html/week35.html              |   4 +-
 doc/pub/week35/ipynb/ipynb-week35-src.tar.gz | Bin 192 -> 192 bytes
 doc/pub/week35/ipynb/week35.ipynb            | 856 +++++++++----------
 doc/src/week35/week35.do.txt                 |   4 +-
 7 files changed, 438 insertions(+), 438 deletions(-)

diff --git a/doc/pub/week35/html/._week35-bs017.html b/doc/pub/week35/html/._week35-bs017.html
index cd22e9c60..c6848eacf 100644
--- a/doc/pub/week35/html/._week35-bs017.html
+++ b/doc/pub/week35/html/._week35-bs017.html
@@ -377,8 +377,8 @@ $$
 \tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
 $$
 
-<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a 
-\( p\times n \) matrix \( \boldsymbol{X} \).
+<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an 
+\( n\times p \) matrix \( \boldsymbol{X} \).
 </p>
 
 <p>
diff --git a/doc/pub/week35/html/week35-reveal.html b/doc/pub/week35/html/week35-reveal.html
index 6b14ab84b..dc4fff779 100644
--- a/doc/pub/week35/html/week35-reveal.html
+++ b/doc/pub/week35/html/week35-reveal.html
@@ -811,8 +811,8 @@ $$
 $$
 <p>&nbsp;<br>
 
-<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a 
-\( p\times n \) matrix \( \boldsymbol{X} \).
+<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an 
+\( n\times p \) matrix \( \boldsymbol{X} \).
 </p>
 </section>
 
diff --git a/doc/pub/week35/html/week35-solarized.html b/doc/pub/week35/html/week35-solarized.html
index 5fb168be2..226cfa867 100644
--- a/doc/pub/week35/html/week35-solarized.html
+++ b/doc/pub/week35/html/week35-solarized.html
@@ -822,8 +822,8 @@ $$
 \tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
 $$
 
-<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a 
-\( p\times n \) matrix \( \boldsymbol{X} \).
+<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an 
+\( n\times p \) matrix \( \boldsymbol{X} \).
 </p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
diff --git a/doc/pub/week35/html/week35.html b/doc/pub/week35/html/week35.html
index 7bb97763e..2ff8be1fc 100644
--- a/doc/pub/week35/html/week35.html
+++ b/doc/pub/week35/html/week35.html
@@ -899,8 +899,8 @@ $$
 \tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
 $$
 
-<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is a 
-\( p\times n \) matrix \( \boldsymbol{X} \).
+<p>we have five predictors/features. The first is the intercept \( \beta_0 \). The other terms are \( \beta_i \) with \( i=1,2,3,4 \). Furthermore we have \( n \) entries for each predictor. It means that our design matrix is an 
+\( n\times p \) matrix \( \boldsymbol{X} \).
 </p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
diff --git a/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz b/doc/pub/week35/ipynb/ipynb-week35-src.tar.gz
index 5a71982cd50b353020ec74e858c0720dc00f5734..990e29374c60f097d3d3ef5570a26f063e5d62f9 100644
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diff --git a/doc/pub/week35/ipynb/week35.ipynb b/doc/pub/week35/ipynb/week35.ipynb
index 09fb3218d..f4d59ecff 100644
--- a/doc/pub/week35/ipynb/week35.ipynb
+++ b/doc/pub/week35/ipynb/week35.ipynb
@@ -2,7 +2,7 @@
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+   "id": "3369db88",
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@@ -14,7 +14,7 @@
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@@ -27,7 +27,7 @@
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+   "id": "bf0b75f2",
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@@ -49,7 +49,7 @@
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@@ -65,7 +65,7 @@
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@@ -99,7 +99,7 @@
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+   "id": "f689a120",
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@@ -115,7 +115,7 @@
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+   "id": "b75e4b1b",
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@@ -127,7 +127,7 @@
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@@ -137,7 +137,7 @@
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@@ -149,7 +149,7 @@
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@@ -170,7 +170,7 @@
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@@ -182,7 +182,7 @@
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@@ -195,7 +195,7 @@
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@@ -207,7 +207,7 @@
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@@ -219,7 +219,7 @@
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@@ -229,7 +229,7 @@
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+   "id": "d2e77c33",
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@@ -241,7 +241,7 @@
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+   "id": "fc4220fb",
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@@ -254,7 +254,7 @@
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@@ -266,7 +266,7 @@
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@@ -276,7 +276,7 @@
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@@ -288,7 +288,7 @@
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@@ -300,7 +300,7 @@
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@@ -311,7 +311,7 @@
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@@ -323,7 +323,7 @@
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@@ -342,7 +342,7 @@
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@@ -355,7 +355,7 @@
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@@ -365,7 +365,7 @@
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@@ -377,7 +377,7 @@
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@@ -387,7 +387,7 @@
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@@ -399,7 +399,7 @@
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@@ -409,7 +409,7 @@
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@@ -421,7 +421,7 @@
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@@ -432,7 +432,7 @@
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@@ -444,7 +444,7 @@
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@@ -454,7 +454,7 @@
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@@ -466,7 +466,7 @@
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@@ -476,7 +476,7 @@
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@@ -488,7 +488,7 @@
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@@ -508,7 +508,7 @@
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@@ -593,7 +593,7 @@
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@@ -640,7 +640,7 @@
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@@ -923,7 +923,7 @@
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@@ -933,7 +933,7 @@
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@@ -945,7 +945,7 @@
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+   "id": "d9be9953",
    "metadata": {
     "editable": true
    },
@@ -967,7 +967,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e76f79b",
+   "id": "14ae4422",
    "metadata": {
     "editable": true
    },
@@ -977,7 +977,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c576525e",
+   "id": "780ceda6",
    "metadata": {
     "editable": true
    },
@@ -989,7 +989,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e948eb91",
+   "id": "ebc2f8a4",
    "metadata": {
     "editable": true
    },
@@ -1001,7 +1001,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bec30dc8",
+   "id": "dd39f6de",
    "metadata": {
     "editable": true
    },
@@ -1013,7 +1013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "acdafb3a",
+   "id": "10fe4e43",
    "metadata": {
     "editable": true
    },
@@ -1023,7 +1023,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "16b8d319",
+   "id": "1d47057e",
    "metadata": {
     "editable": true
    },
@@ -1035,7 +1035,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e2f65f8",
+   "id": "56188284",
    "metadata": {
     "editable": true
    },
@@ -1048,7 +1048,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba0bdb57",
+   "id": "da1a3437",
    "metadata": {
     "editable": true
    },
@@ -1060,7 +1060,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "326043c2",
+   "id": "40277da7",
    "metadata": {
     "editable": true
    },
@@ -1070,7 +1070,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "009f8484",
+   "id": "872406f3",
    "metadata": {
     "editable": true
    },
@@ -1082,7 +1082,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5013debd",
+   "id": "b7b6fc92",
    "metadata": {
     "editable": true
    },
@@ -1092,7 +1092,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "edd10a31",
+   "id": "a20d3cf2",
    "metadata": {
     "editable": true
    },
@@ -1104,7 +1104,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "093b42b9",
+   "id": "69763c22",
    "metadata": {
     "editable": true
    },
@@ -1114,7 +1114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5df9a0c3",
+   "id": "7a6bca66",
    "metadata": {
     "editable": true
    },
@@ -1126,7 +1126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "01797083",
+   "id": "a18c2122",
    "metadata": {
     "editable": true
    },
@@ -1136,7 +1136,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "30c7ee41",
+   "id": "b384ff03",
    "metadata": {
     "editable": true
    },
@@ -1148,7 +1148,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "340567ef",
+   "id": "52caa001",
    "metadata": {
     "editable": true
    },
@@ -1158,7 +1158,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2b5ac2d",
+   "id": "688fd8d0",
    "metadata": {
     "editable": true
    },
@@ -1170,7 +1170,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c51dc85f",
+   "id": "02b80542",
    "metadata": {
     "editable": true
    },
@@ -1182,7 +1182,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "468f4104",
+   "id": "6407f541",
    "metadata": {
     "editable": true
    },
@@ -1194,7 +1194,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fed2e0db",
+   "id": "9a09e417",
    "metadata": {
     "editable": true
    },
@@ -1206,7 +1206,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a2f4154",
+   "id": "7c0b5cfe",
    "metadata": {
     "editable": true
    },
@@ -1218,7 +1218,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a8ee776",
+   "id": "e4821eb5",
    "metadata": {
     "editable": true
    },
@@ -1234,7 +1234,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99911d31",
+   "id": "1b1205bd",
    "metadata": {
     "editable": true
    },
@@ -1246,7 +1246,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da8a36b1",
+   "id": "62e24a3c",
    "metadata": {
     "editable": true
    },
@@ -1256,7 +1256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41ce27ba",
+   "id": "2bfa2507",
    "metadata": {
     "editable": true
    },
@@ -1268,7 +1268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "985ae7c2",
+   "id": "27989147",
    "metadata": {
     "editable": true
    },
@@ -1286,7 +1286,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "701d0f0b",
+   "id": "bdf0543d",
    "metadata": {
     "editable": true
    },
@@ -1298,7 +1298,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d1f9210",
+   "id": "c3713077",
    "metadata": {
     "editable": true
    },
@@ -1310,7 +1310,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26b89880",
+   "id": "de451ebf",
    "metadata": {
     "editable": true
    },
@@ -1320,7 +1320,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e89703ae",
+   "id": "9599fd86",
    "metadata": {
     "editable": true
    },
@@ -1332,7 +1332,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbefe2ea",
+   "id": "394818b7",
    "metadata": {
     "editable": true
    },
@@ -1342,7 +1342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63640771",
+   "id": "166ed846",
    "metadata": {
     "editable": true
    },
@@ -1354,7 +1354,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "248f908f",
+   "id": "ea09845c",
    "metadata": {
     "editable": true
    },
@@ -1364,7 +1364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5e2edcc",
+   "id": "84d4b4c2",
    "metadata": {
     "editable": true
    },
@@ -1378,7 +1378,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9500f32e",
+   "id": "144fbe09",
    "metadata": {
     "editable": true
    },
@@ -1390,18 +1390,18 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db64a83d",
+   "id": "bbfbfc64",
    "metadata": {
     "editable": true
    },
    "source": [
-    "we have five predictors/features. The first is the intercept $\\beta_0$. The other terms are $\\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is a \n",
-    "$p\\times n$ matrix $\\boldsymbol{X}$."
+    "we have five predictors/features. The first is the intercept $\\beta_0$. The other terms are $\\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is an \n",
+    "$n\\times p$ matrix $\\boldsymbol{X}$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "138bcd59",
+   "id": "60a70183",
    "metadata": {
     "editable": true
    },
@@ -1414,7 +1414,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a75b1eda",
+   "id": "f80c5d34",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1430,7 +1430,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60a71d95",
+   "id": "8ab38e5f",
    "metadata": {
     "editable": true
    },
@@ -1441,7 +1441,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "791cffc7",
+   "id": "59e14ceb",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1454,7 +1454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa07c3f5",
+   "id": "2f02e87a",
    "metadata": {
     "editable": true
    },
@@ -1468,7 +1468,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "c4773c78",
+   "id": "81a96389",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1481,7 +1481,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11424170",
+   "id": "702395a0",
    "metadata": {
     "editable": true
    },
@@ -1492,7 +1492,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "3a0b98bb",
+   "id": "74416523",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1504,7 +1504,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9e670822",
+   "id": "cdacfa78",
    "metadata": {
     "editable": true
    },
@@ -1515,7 +1515,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "576a692a",
+   "id": "8d416246",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1531,7 +1531,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c594c11",
+   "id": "24ce23ef",
    "metadata": {
     "editable": true
    },
@@ -1542,7 +1542,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "df625c41",
+   "id": "571b5d7c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1556,7 +1556,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c42fa60",
+   "id": "c74c8161",
    "metadata": {
     "editable": true
    },
@@ -1577,7 +1577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cdc75ebf",
+   "id": "878e6935",
    "metadata": {
     "editable": true
    },
@@ -1588,7 +1588,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "500fdfce",
+   "id": "3bf38929",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1641,7 +1641,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc4e8c8c",
+   "id": "a82ed329",
    "metadata": {
     "editable": true
    },
@@ -1652,7 +1652,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "0f3b9768",
+   "id": "50637468",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1677,7 +1677,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ed2caa3a",
+   "id": "a2c86c0d",
    "metadata": {
     "editable": true
    },
@@ -1689,7 +1689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "361c11ab",
+   "id": "c8eb18df",
    "metadata": {
     "editable": true
    },
@@ -1718,7 +1718,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6ccff20",
+   "id": "1f0523f4",
    "metadata": {
     "editable": true
    },
@@ -1743,7 +1743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "780b0a38",
+   "id": "be02231d",
    "metadata": {
     "editable": true
    },
@@ -1763,7 +1763,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c57756cb",
+   "id": "932edb5f",
    "metadata": {
     "editable": true
    },
@@ -1790,7 +1790,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "afe70191",
+   "id": "b4867600",
    "metadata": {
     "editable": true
    },
@@ -1803,7 +1803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5f3cc38",
+   "id": "f129ff79",
    "metadata": {
     "editable": true
    },
@@ -1815,7 +1815,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d96ddc9",
+   "id": "c0c407d4",
    "metadata": {
     "editable": true
    },
@@ -1826,7 +1826,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "02c17c37",
+   "id": "6ae88f00",
    "metadata": {
     "editable": true
    },
@@ -1842,7 +1842,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "df182e88",
+   "id": "f58a6c6c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1876,7 +1876,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5eb35d4",
+   "id": "6ed7f38e",
    "metadata": {
     "editable": true
    },
@@ -1886,7 +1886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "68a7ff4a",
+   "id": "3f3bd728",
    "metadata": {
     "editable": true
    },
@@ -1901,7 +1901,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d0c4af5",
+   "id": "122c3875",
    "metadata": {
     "editable": true
    },
@@ -1913,7 +1913,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64e38f17",
+   "id": "8ba3e788",
    "metadata": {
     "editable": true
    },
@@ -1923,7 +1923,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ced09b91",
+   "id": "fbae43ba",
    "metadata": {
     "editable": true
    },
@@ -1939,7 +1939,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "6fe74a09",
+   "id": "dfae68c3",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1956,7 +1956,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bddef65d",
+   "id": "ecae83bf",
    "metadata": {
     "editable": true
    },
@@ -1969,7 +1969,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "a9e13912",
+   "id": "261f89fe",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2016,7 +2016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d7d5035c",
+   "id": "95e68d5a",
    "metadata": {
     "editable": true
    },
@@ -2027,7 +2027,7 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "63d1fae5",
+   "id": "1a202842",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2130,7 +2130,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "76e25281",
+   "id": "97e9e0f5",
    "metadata": {
     "editable": true
    },
@@ -2158,7 +2158,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5f4f7265",
+   "id": "69aaec0f",
    "metadata": {
     "editable": true
    },
@@ -2193,7 +2193,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b15905cc",
+   "id": "22ec93f8",
    "metadata": {
     "editable": true
    },
@@ -2207,7 +2207,7 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "2b8de685",
+   "id": "5954369a",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2232,7 +2232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70369d71",
+   "id": "9aeedd1b",
    "metadata": {
     "editable": true
    },
@@ -2248,7 +2248,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54b3f43d",
+   "id": "68a1624c",
    "metadata": {
     "editable": true
    },
@@ -2260,7 +2260,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88a2fbc1",
+   "id": "07461fc8",
    "metadata": {
     "editable": true
    },
@@ -2275,7 +2275,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b760c90",
+   "id": "441108dd",
    "metadata": {
     "editable": true
    },
@@ -2287,7 +2287,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "863e9363",
+   "id": "04a1abe1",
    "metadata": {
     "editable": true
    },
@@ -2297,7 +2297,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ac00abe",
+   "id": "c5c25018",
    "metadata": {
     "editable": true
    },
@@ -2309,7 +2309,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "14bf53a9",
+   "id": "1bd8cdeb",
    "metadata": {
     "editable": true
    },
@@ -2319,7 +2319,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fdfbfd3f",
+   "id": "63a32eb5",
    "metadata": {
     "editable": true
    },
@@ -2331,7 +2331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e8515f2f",
+   "id": "d6b0c424",
    "metadata": {
     "editable": true
    },
@@ -2344,7 +2344,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8f3aa3e",
+   "id": "cc90b562",
    "metadata": {
     "editable": true
    },
@@ -2356,7 +2356,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7adac89",
+   "id": "569a1632",
    "metadata": {
     "editable": true
    },
@@ -2366,7 +2366,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "125602e7",
+   "id": "f3a3a977",
    "metadata": {
     "editable": true
    },
@@ -2378,7 +2378,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "128cef84",
+   "id": "cd00ebfe",
    "metadata": {
     "editable": true
    },
@@ -2388,7 +2388,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbc4d09c",
+   "id": "9d613560",
    "metadata": {
     "editable": true
    },
@@ -2400,7 +2400,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28afa93b",
+   "id": "3e252015",
    "metadata": {
     "editable": true
    },
@@ -2410,7 +2410,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1a75e8a9",
+   "id": "14eb93b6",
    "metadata": {
     "editable": true
    },
@@ -2422,7 +2422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8f23f44",
+   "id": "d729b501",
    "metadata": {
     "editable": true
    },
@@ -2432,7 +2432,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0216fec4",
+   "id": "8b1ebd36",
    "metadata": {
     "editable": true
    },
@@ -2444,7 +2444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "62df020d",
+   "id": "3985b967",
    "metadata": {
     "editable": true
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@@ -2454,7 +2454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4d5dcb0",
+   "id": "5698f884",
    "metadata": {
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@@ -2466,7 +2466,7 @@
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@@ -2476,7 +2476,7 @@
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@@ -2488,7 +2488,7 @@
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@@ -2500,7 +2500,7 @@
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@@ -2512,7 +2512,7 @@
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@@ -2525,7 +2525,7 @@
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@@ -2537,7 +2537,7 @@
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@@ -2547,7 +2547,7 @@
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@@ -2561,7 +2561,7 @@
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@@ -2658,7 +2658,7 @@
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@@ -2679,7 +2679,7 @@
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@@ -2691,7 +2691,7 @@
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@@ -2701,7 +2701,7 @@
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@@ -2713,7 +2713,7 @@
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@@ -2723,7 +2723,7 @@
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@@ -2735,7 +2735,7 @@
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@@ -2751,7 +2751,7 @@
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@@ -2795,7 +2795,7 @@
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@@ -2807,7 +2807,7 @@
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@@ -2823,7 +2823,7 @@
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@@ -2834,7 +2834,7 @@
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@@ -2852,7 +2852,7 @@
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@@ -2863,7 +2863,7 @@
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@@ -2877,7 +2877,7 @@
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@@ -2888,7 +2888,7 @@
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@@ -2901,7 +2901,7 @@
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@@ -2912,7 +2912,7 @@
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@@ -2929,7 +2929,7 @@
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@@ -2940,7 +2940,7 @@
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@@ -2956,7 +2956,7 @@
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@@ -2967,7 +2967,7 @@
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@@ -2991,7 +2991,7 @@
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@@ -3002,7 +3002,7 @@
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@@ -3015,7 +3015,7 @@
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@@ -3026,7 +3026,7 @@
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@@ -3046,7 +3046,7 @@
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@@ -3057,7 +3057,7 @@
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@@ -3100,7 +3100,7 @@
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@@ -3115,7 +3115,7 @@
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@@ -3125,7 +3125,7 @@
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@@ -3139,7 +3139,7 @@
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@@ -3151,7 +3151,7 @@
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@@ -3163,7 +3163,7 @@
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@@ -3175,7 +3175,7 @@
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@@ -3185,7 +3185,7 @@
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@@ -3197,7 +3197,7 @@
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@@ -3207,7 +3207,7 @@
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@@ -3219,7 +3219,7 @@
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@@ -3230,7 +3230,7 @@
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@@ -3242,7 +3242,7 @@
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@@ -3254,7 +3254,7 @@
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@@ -3264,7 +3264,7 @@
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@@ -3276,7 +3276,7 @@
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@@ -3288,7 +3288,7 @@
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@@ -3298,7 +3298,7 @@
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@@ -3310,7 +3310,7 @@
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@@ -3320,7 +3320,7 @@
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@@ -3332,7 +3332,7 @@
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@@ -3342,7 +3342,7 @@
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@@ -3382,7 +3382,7 @@
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@@ -3399,7 +3399,7 @@
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@@ -3422,7 +3422,7 @@
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@@ -3439,7 +3439,7 @@
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@@ -3458,7 +3458,7 @@
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@@ -3469,7 +3469,7 @@
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@@ -3481,7 +3481,7 @@
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@@ -3499,7 +3499,7 @@
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@@ -3515,7 +3515,7 @@
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@@ -3527,7 +3527,7 @@
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@@ -3537,7 +3537,7 @@
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@@ -3552,7 +3552,7 @@
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@@ -3564,7 +3564,7 @@
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@@ -3574,7 +3574,7 @@
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@@ -3586,7 +3586,7 @@
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@@ -3596,7 +3596,7 @@
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@@ -3608,7 +3608,7 @@
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@@ -3620,7 +3620,7 @@
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@@ -3635,7 +3635,7 @@
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@@ -3646,7 +3646,7 @@
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@@ -3666,7 +3666,7 @@
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@@ -3678,7 +3678,7 @@
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@@ -3688,7 +3688,7 @@
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@@ -3700,7 +3700,7 @@
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@@ -3729,7 +3729,7 @@
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@@ -3756,7 +3756,7 @@
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@@ -3767,7 +3767,7 @@
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@@ -3807,7 +3807,7 @@
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@@ -3824,7 +3824,7 @@
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@@ -3847,7 +3847,7 @@
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@@ -3861,7 +3861,7 @@
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@@ -3880,7 +3880,7 @@
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@@ -3890,7 +3890,7 @@
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@@ -3902,7 +3902,7 @@
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@@ -3916,7 +3916,7 @@
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@@ -3928,7 +3928,7 @@
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@@ -3938,7 +3938,7 @@
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@@ -3950,7 +3950,7 @@
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@@ -3967,7 +3967,7 @@
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@@ -3977,7 +3977,7 @@
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@@ -3993,7 +3993,7 @@
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@@ -4003,7 +4003,7 @@
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@@ -4019,7 +4019,7 @@
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@@ -4029,7 +4029,7 @@
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@@ -4045,7 +4045,7 @@
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@@ -4055,7 +4055,7 @@
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@@ -4072,7 +4072,7 @@
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@@ -4084,7 +4084,7 @@
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@@ -4096,7 +4096,7 @@
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@@ -4108,7 +4108,7 @@
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@@ -4118,7 +4118,7 @@
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@@ -4130,7 +4130,7 @@
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@@ -4142,7 +4142,7 @@
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@@ -4154,7 +4154,7 @@
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@@ -4164,7 +4164,7 @@
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@@ -4176,7 +4176,7 @@
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@@ -4186,7 +4186,7 @@
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@@ -4198,7 +4198,7 @@
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@@ -4212,7 +4212,7 @@
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@@ -4224,7 +4224,7 @@
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@@ -4236,7 +4236,7 @@
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@@ -4246,7 +4246,7 @@
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@@ -4258,7 +4258,7 @@
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@@ -4269,7 +4269,7 @@
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@@ -4281,7 +4281,7 @@
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@@ -4291,7 +4291,7 @@
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@@ -4303,7 +4303,7 @@
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@@ -4313,7 +4313,7 @@
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@@ -4325,7 +4325,7 @@
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@@ -4336,7 +4336,7 @@
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@@ -4348,7 +4348,7 @@
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@@ -4366,7 +4366,7 @@
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@@ -4382,7 +4382,7 @@
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@@ -4394,7 +4394,7 @@
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@@ -4406,7 +4406,7 @@
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@@ -4418,7 +4418,7 @@
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@@ -4431,7 +4431,7 @@
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@@ -4447,7 +4447,7 @@
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@@ -4461,7 +4461,7 @@
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@@ -4471,7 +4471,7 @@
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@@ -4483,7 +4483,7 @@
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@@ -4493,7 +4493,7 @@
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@@ -4505,7 +4505,7 @@
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@@ -4515,7 +4515,7 @@
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@@ -4529,7 +4529,7 @@
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@@ -4546,7 +4546,7 @@
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@@ -4562,7 +4562,7 @@
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@@ -4574,7 +4574,7 @@
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@@ -4587,7 +4587,7 @@
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@@ -4601,7 +4601,7 @@
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@@ -4611,7 +4611,7 @@
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@@ -4624,7 +4624,7 @@
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@@ -4643,7 +4643,7 @@
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@@ -4655,7 +4655,7 @@
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@@ -4667,7 +4667,7 @@
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@@ -4677,7 +4677,7 @@
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@@ -4689,7 +4689,7 @@
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@@ -4702,7 +4702,7 @@
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@@ -4721,7 +4721,7 @@
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@@ -4731,7 +4731,7 @@
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@@ -4750,7 +4750,7 @@
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@@ -4768,7 +4768,7 @@
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@@ -4782,7 +4782,7 @@
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@@ -4797,7 +4797,7 @@
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@@ -4818,7 +4818,7 @@
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@@ -4835,7 +4835,7 @@
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@@ -4867,7 +4867,7 @@
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@@ -4881,7 +4881,7 @@
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@@ -4894,7 +4894,7 @@
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@@ -4919,7 +4919,7 @@
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@@ -4929,7 +4929,7 @@
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@@ -4940,7 +4940,7 @@
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@@ -4994,7 +4994,7 @@
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@@ -5011,7 +5011,7 @@
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@@ -5023,7 +5023,7 @@
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@@ -5035,7 +5035,7 @@
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@@ -5045,7 +5045,7 @@
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@@ -5062,7 +5062,7 @@
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@@ -5072,7 +5072,7 @@
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@@ -5087,7 +5087,7 @@
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@@ -5097,7 +5097,7 @@
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@@ -5111,7 +5111,7 @@
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@@ -5123,7 +5123,7 @@
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@@ -5135,7 +5135,7 @@
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@@ -5147,7 +5147,7 @@
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@@ -5157,7 +5157,7 @@
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@@ -5169,7 +5169,7 @@
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@@ -5179,7 +5179,7 @@
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@@ -5196,7 +5196,7 @@
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@@ -5206,7 +5206,7 @@
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@@ -5218,7 +5218,7 @@
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@@ -5228,7 +5228,7 @@
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@@ -5240,7 +5240,7 @@
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@@ -5254,7 +5254,7 @@
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@@ -5266,7 +5266,7 @@
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@@ -5288,7 +5288,7 @@
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@@ -5300,7 +5300,7 @@
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@@ -5315,7 +5315,7 @@
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@@ -5327,7 +5327,7 @@
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@@ -5339,7 +5339,7 @@
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@@ -5349,7 +5349,7 @@
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@@ -5361,7 +5361,7 @@
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@@ -5371,7 +5371,7 @@
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+   "id": "fbd781e4",
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     "editable": true
    },
@@ -5383,7 +5383,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20e28602",
+   "id": "0e8552a0",
    "metadata": {
     "editable": true
    },
@@ -5393,7 +5393,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f4a2bba",
+   "id": "48dd8766",
    "metadata": {
     "editable": true
    },
@@ -5405,7 +5405,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d3a0603",
+   "id": "884a990f",
    "metadata": {
     "editable": true
    },
@@ -5422,7 +5422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8979d69b",
+   "id": "e848555a",
    "metadata": {
     "editable": true
    },
@@ -5435,7 +5435,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "385d43de",
+   "id": "5ce5f9c7",
    "metadata": {
     "editable": true
    },
@@ -5447,7 +5447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5798dbef",
+   "id": "366577b3",
    "metadata": {
     "editable": true
    },
@@ -5457,7 +5457,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28c31bf8",
+   "id": "2475b71d",
    "metadata": {
     "editable": true
    },
@@ -5470,7 +5470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4490787d",
+   "id": "6101b1d6",
    "metadata": {
     "editable": true
    },
@@ -5480,7 +5480,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "34877443",
+   "id": "1edb1cd8",
    "metadata": {
     "editable": true
    },
@@ -5492,7 +5492,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8cb5ecb",
+   "id": "d40f397f",
    "metadata": {
     "editable": true
    },
@@ -5505,7 +5505,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "89987893",
+   "id": "8ba3589d",
    "metadata": {
     "editable": true
    },
@@ -5518,7 +5518,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "91e8b147",
+   "id": "86980981",
    "metadata": {
     "editable": true
    },
@@ -5530,7 +5530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74a8d4ef",
+   "id": "d9729169",
    "metadata": {
     "editable": true
    },
@@ -5542,7 +5542,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50a4e5d9",
+   "id": "cf0b3441",
    "metadata": {
     "editable": true
    },
@@ -5552,7 +5552,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53a5512f",
+   "id": "437e20ef",
    "metadata": {
     "editable": true
    },
@@ -5565,7 +5565,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6142a4c",
+   "id": "eb17ed1c",
    "metadata": {
     "editable": true
    },
@@ -5577,7 +5577,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d69ea45e",
+   "id": "1d54583d",
    "metadata": {
     "editable": true
    },
@@ -5589,7 +5589,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "34737bf4",
+   "id": "1146d889",
    "metadata": {
     "editable": true
    },
@@ -5601,7 +5601,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e38856e",
+   "id": "377aa834",
    "metadata": {
     "editable": true
    },
@@ -5613,7 +5613,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dba036ae",
+   "id": "70258a1b",
    "metadata": {
     "editable": true
    },
@@ -5627,7 +5627,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db706753",
+   "id": "8324786e",
    "metadata": {
     "editable": true
    },
@@ -5639,7 +5639,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b848061",
+   "id": "720a2bb9",
    "metadata": {
     "editable": true
    },
@@ -5649,7 +5649,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d85387e",
+   "id": "3867d33a",
    "metadata": {
     "editable": true
    },
@@ -5661,7 +5661,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "79edfbed",
+   "id": "ffbac325",
    "metadata": {
     "editable": true
    },
@@ -5673,7 +5673,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee7003cc",
+   "id": "ab167adf",
    "metadata": {
     "editable": true
    },
@@ -5685,7 +5685,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "89356d91",
+   "id": "4e906d91",
    "metadata": {
     "editable": true
    },
@@ -5697,7 +5697,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2ec7812",
+   "id": "44e2d956",
    "metadata": {
     "editable": true
    },
@@ -5709,7 +5709,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b63efbdf",
+   "id": "b3deac15",
    "metadata": {
     "editable": true
    },
@@ -5728,7 +5728,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3381a84",
+   "id": "522244d0",
    "metadata": {
     "editable": true
    },
@@ -5740,7 +5740,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf349667",
+   "id": "dcd412b2",
    "metadata": {
     "editable": true
    },
@@ -5750,7 +5750,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5438d288",
+   "id": "89d43a47",
    "metadata": {
     "editable": true
    },
@@ -5762,7 +5762,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "db0dfbb2",
+   "id": "baebd7ed",
    "metadata": {
     "editable": true
    },
@@ -5772,7 +5772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99c40d41",
+   "id": "85dec277",
    "metadata": {
     "editable": true
    },
@@ -5784,7 +5784,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1db398f2",
+   "id": "1741e7d1",
    "metadata": {
     "editable": true
    },
@@ -5796,7 +5796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c9548c1",
+   "id": "8ea96754",
    "metadata": {
     "editable": true
    },
@@ -5812,7 +5812,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "73624861",
+   "id": "382d468a",
    "metadata": {
     "editable": true
    },
@@ -5824,7 +5824,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5b8b7443",
+   "id": "4f075888",
    "metadata": {
     "editable": true
    },
@@ -5836,7 +5836,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c39009d",
+   "id": "a0b0a445",
    "metadata": {
     "editable": true
    },
@@ -5846,7 +5846,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b67cea5",
+   "id": "bfb5ba4a",
    "metadata": {
     "editable": true
    },
@@ -5858,7 +5858,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b5f1018",
+   "id": "f5aeeb57",
    "metadata": {
     "editable": true
    },
@@ -5868,7 +5868,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "935a665f",
+   "id": "cba74039",
    "metadata": {
     "editable": true
    },
@@ -5880,7 +5880,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "585e8bdc",
+   "id": "a23b507f",
    "metadata": {
     "editable": true
    },
@@ -5897,7 +5897,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f88db77",
+   "id": "c5a6865b",
    "metadata": {
     "editable": true
    },
@@ -5909,7 +5909,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "59ded69b",
+   "id": "27b91235",
    "metadata": {
     "editable": true
    },
@@ -5921,7 +5921,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "577774a1",
+   "id": "f6186fa5",
    "metadata": {
     "editable": true
    },
@@ -5931,7 +5931,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d6c4cd7",
+   "id": "aaaa5cb1",
    "metadata": {
     "editable": true
    },
@@ -5943,7 +5943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1f4008a9",
+   "id": "63db8f95",
    "metadata": {
     "editable": true
    },
@@ -5953,7 +5953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c8d9544b",
+   "id": "b7334b98",
    "metadata": {
     "editable": true
    },
@@ -5965,7 +5965,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bec2ef4a",
+   "id": "5018fc51",
    "metadata": {
     "editable": true
    },
@@ -5975,7 +5975,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d646b77b",
+   "id": "58e283bc",
    "metadata": {
     "editable": true
    },
@@ -5987,7 +5987,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "764e552f",
+   "id": "36abd1a0",
    "metadata": {
     "editable": true
    },
diff --git a/doc/src/week35/week35.do.txt b/doc/src/week35/week35.do.txt
index 185adb483..c34af53f4 100644
--- a/doc/src/week35/week35.do.txt
+++ b/doc/src/week35/week35.do.txt
@@ -573,8 +573,8 @@ We assume our data can represented by a fourth-order polynomial. For the $i$th c
 \tilde{y}_i = \beta_0+\beta_1x_i+\beta_2x_i^2+\beta_3x_i^3+\beta_4x_i^4.
 \]
 !et
-we have five predictors/features. The first is the intercept $\beta_0$. The other terms are $\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is a 
-$p\times n$ matrix $\bm{X}$.
+we have five predictors/features. The first is the intercept $\beta_0$. The other terms are $\beta_i$ with $i=1,2,3,4$. Furthermore we have $n$ entries for each predictor. It means that our design matrix is an 
+$n\times p$ matrix $\bm{X}$.
 
 
 !split