From c89e87a5e5193df1ecfef35c90e40f2611a4a5bd Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Mon, 11 Sep 2023 06:29:12 +0200
Subject: [PATCH] cleaning up

---
 doc/pub/week37/html/._week37-bs006.html      |   2 +-
 doc/pub/week37/html/week37-reveal.html       |   2 +-
 doc/pub/week37/html/week37-solarized.html    |   2 +-
 doc/pub/week37/html/week37.html              |   2 +-
 doc/pub/week37/ipynb/ipynb-week37-src.tar.gz | Bin 1022692 -> 1022692 bytes
 doc/pub/week37/ipynb/week37.ipynb            | 352 +++++++++----------
 doc/src/week37/week37.do.txt                 |   2 +-
 7 files changed, 181 insertions(+), 181 deletions(-)

diff --git a/doc/pub/week37/html/._week37-bs006.html b/doc/pub/week37/html/._week37-bs006.html
index 308ecbe5c..5898a1cda 100644
--- a/doc/pub/week37/html/._week37-bs006.html
+++ b/doc/pub/week37/html/._week37-bs006.html
@@ -338,7 +338,7 @@ $$
 $$
 
 <p>We see clearly that 
-\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \). We say then that the ridge estimator is biased.
+\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \).
 </p>
 
 <p>We can also compute the variance as </p>
diff --git a/doc/pub/week37/html/week37-reveal.html b/doc/pub/week37/html/week37-reveal.html
index 2577ae9be..85bb85885 100644
--- a/doc/pub/week37/html/week37-reveal.html
+++ b/doc/pub/week37/html/week37-reveal.html
@@ -415,7 +415,7 @@ $$
 <p>&nbsp;<br>
 
 <p>We see clearly that 
-\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \). We say then that the ridge estimator is biased.
+\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \).
 </p>
 
 <p>We can also compute the variance as </p>
diff --git a/doc/pub/week37/html/week37-solarized.html b/doc/pub/week37/html/week37-solarized.html
index a51f2bc15..262368dd1 100644
--- a/doc/pub/week37/html/week37-solarized.html
+++ b/doc/pub/week37/html/week37-solarized.html
@@ -444,7 +444,7 @@ $$
 $$
 
 <p>We see clearly that 
-\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \). We say then that the ridge estimator is biased.
+\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \).
 </p>
 
 <p>We can also compute the variance as </p>
diff --git a/doc/pub/week37/html/week37.html b/doc/pub/week37/html/week37.html
index 36b9a8c22..46048ee8e 100644
--- a/doc/pub/week37/html/week37.html
+++ b/doc/pub/week37/html/week37.html
@@ -521,7 +521,7 @@ $$
 $$
 
 <p>We see clearly that 
-\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \). We say then that the ridge estimator is biased.
+\( \mathbb{E} \big[ \boldsymbol{\beta}^{\mathrm{Ridge}} \big] \not= \boldsymbol{\beta}^{\mathrm{OLS}} \) for any \( \lambda > 0 \).
 </p>
 
 <p>We can also compute the variance as </p>
diff --git a/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz b/doc/pub/week37/ipynb/ipynb-week37-src.tar.gz
index 50a1670e259bae7560f59c42afaa3a1a25e50f9a..077b85883037b70932b309dc34f6da95a0e522f9 100644
GIT binary patch
delta 62
zcmWN_NezH7002SGrJR+3lX~N^2?+v7@KHOwDg@>^C8v@T`xUD5K9E`(X{D21{uw05
OD3i>x$SPYVzRw3VnGjL{

delta 62
zcmWN_Hvxb!002Si6KW*jB;FW)Vr9ZdL|}p`Lg2<LIhCB)&rm(rfz;ASE1mT6&mciY
NnPiqlR@pM~y+1(q5Rd=>

diff --git a/doc/pub/week37/ipynb/week37.ipynb b/doc/pub/week37/ipynb/week37.ipynb
index 9ad8b75e2..3d6a1c1b9 100644
--- a/doc/pub/week37/ipynb/week37.ipynb
+++ b/doc/pub/week37/ipynb/week37.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "6e75c2b2",
+   "id": "5d85a8ac",
    "metadata": {
     "editable": true
    },
@@ -14,7 +14,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "223c3ed9",
+   "id": "82315184",
    "metadata": {
     "editable": true
    },
@@ -31,7 +31,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "324d3c32",
+   "id": "7132df07",
    "metadata": {
     "editable": true
    },
@@ -68,7 +68,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d663b9d2",
+   "id": "0928fd34",
    "metadata": {
     "editable": true
    },
@@ -78,7 +78,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f311473b",
+   "id": "9ee88de5",
    "metadata": {
     "editable": true
    },
@@ -107,7 +107,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c03ce11",
+   "id": "fd2470fe",
    "metadata": {
     "editable": true
    },
@@ -123,7 +123,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e2c762f",
+   "id": "8be57b04",
    "metadata": {
     "editable": true
    },
@@ -142,7 +142,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4627685b",
+   "id": "ee33fde6",
    "metadata": {
     "editable": true
    },
@@ -156,7 +156,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e7897ae",
+   "id": "14124ae5",
    "metadata": {
     "editable": true
    },
@@ -168,7 +168,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3ae81a0",
+   "id": "02600bff",
    "metadata": {
     "editable": true
    },
@@ -179,7 +179,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "624e3a17",
+   "id": "7df4b213",
    "metadata": {
     "editable": true
    },
@@ -191,7 +191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "05fea861",
+   "id": "996d8e2d",
    "metadata": {
     "editable": true
    },
@@ -203,7 +203,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "58f9c428",
+   "id": "815b60ed",
    "metadata": {
     "editable": true
    },
@@ -219,7 +219,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0e188a35",
+   "id": "a93b64c7",
    "metadata": {
     "editable": true
    },
@@ -230,7 +230,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f94f15b1",
+   "id": "61c06c9b",
    "metadata": {
     "editable": true
    },
@@ -253,7 +253,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "16cd0fdc",
+   "id": "bb1eb3a5",
    "metadata": {
     "editable": true
    },
@@ -264,7 +264,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7c4a9f9",
+   "id": "ea804d82",
    "metadata": {
     "editable": true
    },
@@ -276,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53797dc4",
+   "id": "896c9968",
    "metadata": {
     "editable": true
    },
@@ -288,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6d40f0b",
+   "id": "27adffa2",
    "metadata": {
     "editable": true
    },
@@ -302,7 +302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8fb332ff",
+   "id": "b3cb4e94",
    "metadata": {
     "editable": true
    },
@@ -333,7 +333,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca39cad2",
+   "id": "98964900",
    "metadata": {
     "editable": true
    },
@@ -355,7 +355,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dba4b075",
+   "id": "ae46385d",
    "metadata": {
     "editable": true
    },
@@ -367,20 +367,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4c25cc4c",
+   "id": "862ec8d1",
    "metadata": {
     "editable": true
    },
    "source": [
     "We see clearly that \n",
-    "$\\mathbb{E} \\big[ \\boldsymbol{\\beta}^{\\mathrm{Ridge}} \\big] \\not= \\boldsymbol{\\beta}^{\\mathrm{OLS}}$ for any $\\lambda > 0$. We say then that the ridge estimator is biased.\n",
+    "$\\mathbb{E} \\big[ \\boldsymbol{\\beta}^{\\mathrm{Ridge}} \\big] \\not= \\boldsymbol{\\beta}^{\\mathrm{OLS}}$ for any $\\lambda > 0$.\n",
     "\n",
     "We can also compute the variance as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "18952136",
+   "id": "1c05ca70",
    "metadata": {
     "editable": true
    },
@@ -392,7 +392,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dfc4fe1f",
+   "id": "a714192d",
    "metadata": {
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@@ -404,7 +404,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3c3da30",
+   "id": "bd80e6ae",
    "metadata": {
     "editable": true
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@@ -416,7 +416,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5de3ef86",
+   "id": "272d7c5c",
    "metadata": {
     "editable": true
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@@ -430,7 +430,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08df32bd",
+   "id": "c87b5aa5",
    "metadata": {
     "editable": true
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@@ -440,7 +440,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53271655",
+   "id": "c946f771",
    "metadata": {
     "editable": true
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@@ -463,7 +463,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a4701fc6",
+   "id": "e6b4e7dd",
    "metadata": {
     "editable": true
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@@ -475,7 +475,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6da5e98b",
+   "id": "8169d91a",
    "metadata": {
     "editable": true
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@@ -488,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41ab5ec4",
+   "id": "99e90d11",
    "metadata": {
     "editable": true
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@@ -500,7 +500,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "876a837d",
+   "id": "0b4adc26",
    "metadata": {
     "editable": true
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@@ -512,7 +512,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8bee0ca5",
+   "id": "9ca9e238",
    "metadata": {
     "editable": true
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@@ -524,7 +524,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a86dbb29",
+   "id": "23dcb3a5",
    "metadata": {
     "editable": true
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@@ -535,7 +535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "17a9df19",
+   "id": "67cb2d01",
    "metadata": {
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@@ -547,7 +547,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96399230",
+   "id": "80d807da",
    "metadata": {
     "editable": true
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@@ -558,7 +558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eee8bab8",
+   "id": "14b1cbfd",
    "metadata": {
     "editable": true
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@@ -570,7 +570,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74e4661f",
+   "id": "cf86395e",
    "metadata": {
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@@ -580,7 +580,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ae8e89b",
+   "id": "4eee417a",
    "metadata": {
     "editable": true
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@@ -611,7 +611,7 @@
   },
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    "cell_type": "markdown",
-   "id": "ff614284",
+   "id": "02893846",
    "metadata": {
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@@ -623,7 +623,7 @@
   },
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    "cell_type": "markdown",
-   "id": "993ed1ad",
+   "id": "098674aa",
    "metadata": {
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@@ -635,7 +635,7 @@
   },
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    "cell_type": "markdown",
-   "id": "e652574c",
+   "id": "76b18e95",
    "metadata": {
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@@ -645,7 +645,7 @@
   },
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    "cell_type": "markdown",
-   "id": "211d02e7",
+   "id": "52c82f5e",
    "metadata": {
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@@ -657,7 +657,7 @@
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    "cell_type": "markdown",
-   "id": "ba4baa60",
+   "id": "46e101f5",
    "metadata": {
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@@ -667,7 +667,7 @@
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-   "id": "d60b0f63",
+   "id": "e8527450",
    "metadata": {
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@@ -679,7 +679,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a757c673",
+   "id": "a421d3d5",
    "metadata": {
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@@ -689,7 +689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7252faf6",
+   "id": "22137f8a",
    "metadata": {
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@@ -701,7 +701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c2d62b5",
+   "id": "4eb8b2fa",
    "metadata": {
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@@ -711,7 +711,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4c88c81",
+   "id": "8752defc",
    "metadata": {
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@@ -731,7 +731,7 @@
   },
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-   "id": "dd281e40",
+   "id": "4befff39",
    "metadata": {
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@@ -743,7 +743,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b2b8183",
+   "id": "d18ce941",
    "metadata": {
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@@ -753,7 +753,7 @@
   },
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-   "id": "827eb828",
+   "id": "0a4fd449",
    "metadata": {
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@@ -765,7 +765,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d0345913",
+   "id": "ec27160e",
    "metadata": {
     "editable": true
    },
@@ -777,7 +777,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "677a851e",
+   "id": "cd11746f",
    "metadata": {
     "editable": true
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@@ -789,7 +789,7 @@
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-   "id": "99ebc0ee",
+   "id": "b966cbbf",
    "metadata": {
     "editable": true
    },
@@ -801,7 +801,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f59e610",
+   "id": "bccd1443",
    "metadata": {
     "editable": true
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@@ -813,7 +813,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "01fa86b5",
+   "id": "7b6361b1",
    "metadata": {
     "editable": true
    },
@@ -825,7 +825,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74e827ef",
+   "id": "f1ff2fe1",
    "metadata": {
     "editable": true
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@@ -837,7 +837,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "087fdd2d",
+   "id": "ccc6b096",
    "metadata": {
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@@ -849,7 +849,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7a72d7f",
+   "id": "86507503",
    "metadata": {
     "editable": true
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@@ -859,7 +859,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b27f248b",
+   "id": "bee1fbb6",
    "metadata": {
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@@ -871,7 +871,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81ea750a",
+   "id": "ae2e7deb",
    "metadata": {
     "editable": true
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@@ -881,7 +881,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "95ea7b54",
+   "id": "8e262661",
    "metadata": {
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@@ -900,7 +900,7 @@
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   {
    "cell_type": "markdown",
-   "id": "e5dacbf5",
+   "id": "5de65e5b",
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@@ -921,7 +921,7 @@
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    "cell_type": "markdown",
-   "id": "859ef9cf",
+   "id": "6f1ba40c",
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@@ -933,7 +933,7 @@
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-   "id": "6216acec",
+   "id": "0e4cdf38",
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@@ -944,7 +944,7 @@
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   {
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-   "id": "7adb6a4b",
+   "id": "76584b5c",
    "metadata": {
     "editable": true
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@@ -957,7 +957,7 @@
   },
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-   "id": "bb4f714f",
+   "id": "a879a6bd",
    "metadata": {
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@@ -969,7 +969,7 @@
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+   "id": "dd0274e0",
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@@ -979,7 +979,7 @@
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   {
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-   "id": "4e398731",
+   "id": "684fbc25",
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@@ -991,7 +991,7 @@
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-   "id": "99d7a7bf",
+   "id": "54cd9a76",
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@@ -1001,7 +1001,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1939f1ac",
+   "id": "051338d6",
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@@ -1013,7 +1013,7 @@
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   {
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+   "id": "e5f3d505",
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@@ -1023,7 +1023,7 @@
   },
   {
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-   "id": "324dbad7",
+   "id": "ef60f6e2",
    "metadata": {
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@@ -1037,7 +1037,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd3a9c89",
+   "id": "dde5ce68",
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@@ -1049,7 +1049,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "131a6708",
+   "id": "428b7cfc",
    "metadata": {
     "editable": true
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@@ -1059,7 +1059,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "56d47a6f",
+   "id": "95ad5eba",
    "metadata": {
     "editable": true
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@@ -1071,7 +1071,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce4c6fd3",
+   "id": "6e6b706c",
    "metadata": {
     "editable": true
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@@ -1081,7 +1081,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e1e4dd20",
+   "id": "6e6a60cb",
    "metadata": {
     "editable": true
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@@ -1093,7 +1093,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28fb38b8",
+   "id": "c7127db8",
    "metadata": {
     "editable": true
    },
@@ -1103,7 +1103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c51449a8",
+   "id": "60288e6d",
    "metadata": {
     "editable": true
    },
@@ -1115,7 +1115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f6d9733b",
+   "id": "0e8d9dfd",
    "metadata": {
     "editable": true
    },
@@ -1125,7 +1125,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69abb29e",
+   "id": "c0450362",
    "metadata": {
     "editable": true
    },
@@ -1141,7 +1141,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "78506fc0",
+   "id": "5911b76d",
    "metadata": {
     "editable": true
    },
@@ -1153,7 +1153,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "941df1b9",
+   "id": "6029916b",
    "metadata": {
     "editable": true
    },
@@ -1163,7 +1163,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8698a6a",
+   "id": "b704a6fd",
    "metadata": {
     "editable": true
    },
@@ -1175,7 +1175,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c60b7f57",
+   "id": "60c7948c",
    "metadata": {
     "editable": true
    },
@@ -1188,7 +1188,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cdddd567",
+   "id": "51dcd9c3",
    "metadata": {
     "editable": true
    },
@@ -1200,7 +1200,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd7fb90e",
+   "id": "c6512c09",
    "metadata": {
     "editable": true
    },
@@ -1210,7 +1210,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "39d642a9",
+   "id": "2c5ca7b5",
    "metadata": {
     "editable": true
    },
@@ -1222,7 +1222,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6237d625",
+   "id": "1c530682",
    "metadata": {
     "editable": true
    },
@@ -1232,7 +1232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10763b41",
+   "id": "81771a49",
    "metadata": {
     "editable": true
    },
@@ -1244,7 +1244,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a4cd075",
+   "id": "c2aac5ba",
    "metadata": {
     "editable": true
    },
@@ -1256,7 +1256,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cd519e89",
+   "id": "d2e548d7",
    "metadata": {
     "editable": true
    },
@@ -1266,7 +1266,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f0003baf",
+   "id": "2901f9c7",
    "metadata": {
     "editable": true
    },
@@ -1278,7 +1278,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f8e8d827",
+   "id": "8b0dc761",
    "metadata": {
     "editable": true
    },
@@ -1290,7 +1290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ef3471b6",
+   "id": "81709208",
    "metadata": {
     "editable": true
    },
@@ -1302,7 +1302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3029714b",
+   "id": "757cbc8c",
    "metadata": {
     "editable": true
    },
@@ -1312,7 +1312,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "88b8a36e",
+   "id": "337a92ec",
    "metadata": {
     "editable": true
    },
@@ -1324,7 +1324,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b6daee50",
+   "id": "170ec18c",
    "metadata": {
     "editable": true
    },
@@ -1334,7 +1334,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d2a5293",
+   "id": "1919001a",
    "metadata": {
     "editable": true
    },
@@ -1353,7 +1353,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "77a7735b",
+   "id": "861c96a1",
    "metadata": {
     "editable": true
    },
@@ -1381,7 +1381,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a78eb2b6",
+   "id": "9e8d9abb",
    "metadata": {
     "editable": true
    },
@@ -1407,7 +1407,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec3ca9d2",
+   "id": "cca36e61",
    "metadata": {
     "editable": true
    },
@@ -1424,7 +1424,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dee9eca5",
+   "id": "060a4427",
    "metadata": {
     "editable": true
    },
@@ -1444,7 +1444,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac9ec501",
+   "id": "bc631501",
    "metadata": {
     "editable": true
    },
@@ -1473,7 +1473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e23a1211",
+   "id": "65212453",
    "metadata": {
     "editable": true
    },
@@ -1498,7 +1498,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aa8bb3d7",
+   "id": "ce801e18",
    "metadata": {
     "editable": true
    },
@@ -1518,7 +1518,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de51ff10",
+   "id": "927e2be5",
    "metadata": {
     "editable": true
    },
@@ -1530,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ea3e6be",
+   "id": "fe6c7817",
    "metadata": {
     "editable": true
    },
@@ -1540,7 +1540,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2d7baa3",
+   "id": "b0ae80c3",
    "metadata": {
     "editable": true
    },
@@ -1555,7 +1555,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0306fb44",
+   "id": "b8bf320d",
    "metadata": {
     "editable": true
    },
@@ -1568,7 +1568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3421f796",
+   "id": "62def127",
    "metadata": {
     "editable": true
    },
@@ -1581,7 +1581,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a9f82393",
+   "id": "71d882fb",
    "metadata": {
     "editable": true
    },
@@ -1593,7 +1593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5dff3e71",
+   "id": "37f348c8",
    "metadata": {
     "editable": true
    },
@@ -1606,7 +1606,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "982936a1",
+   "id": "0b949710",
    "metadata": {
     "editable": true
    },
@@ -1617,7 +1617,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5d802b9",
+   "id": "673d5c06",
    "metadata": {
     "editable": true
    },
@@ -1631,7 +1631,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2c6b5a1",
+   "id": "81c0beaf",
    "metadata": {
     "editable": true
    },
@@ -1641,7 +1641,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad883826",
+   "id": "e83202fb",
    "metadata": {
     "editable": true
    },
@@ -1655,7 +1655,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b7cff9a1",
+   "id": "27744da9",
    "metadata": {
     "editable": true
    },
@@ -1668,7 +1668,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f395c150",
+   "id": "420c8688",
    "metadata": {
     "editable": true
    },
@@ -1681,7 +1681,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e53bd542",
+   "id": "591e95ca",
    "metadata": {
     "editable": true
    },
@@ -1691,7 +1691,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "48814a97",
+   "id": "a044c8a4",
    "metadata": {
     "editable": true
    },
@@ -1704,7 +1704,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "11d6b3d0",
+   "id": "22b21609",
    "metadata": {
     "editable": true
    },
@@ -1714,7 +1714,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e9c04393",
+   "id": "461ba192",
    "metadata": {
     "editable": true
    },
@@ -1727,7 +1727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "68878429",
+   "id": "97d21082",
    "metadata": {
     "editable": true
    },
@@ -1739,7 +1739,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c3f0d16b",
+   "id": "1231f2f0",
    "metadata": {
     "editable": true
    },
@@ -1758,7 +1758,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f39e1152",
+   "id": "def2d3ca",
    "metadata": {
     "editable": true
    },
@@ -1771,7 +1771,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "580b7c87",
+   "id": "acdeb582",
    "metadata": {
     "editable": true
    },
@@ -1783,7 +1783,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e571c39",
+   "id": "ad0ce315",
    "metadata": {
     "editable": true
    },
@@ -1796,7 +1796,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "93257210",
+   "id": "6be519fc",
    "metadata": {
     "editable": true
    },
@@ -1816,7 +1816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38f4e783",
+   "id": "72497b42",
    "metadata": {
     "editable": true
    },
@@ -1839,7 +1839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "818ba768",
+   "id": "7d663e8f",
    "metadata": {
     "editable": true
    },
@@ -1854,7 +1854,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d581327",
+   "id": "4925ba6e",
    "metadata": {
     "editable": true
    },
@@ -1866,7 +1866,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d05611d",
+   "id": "9fbe8108",
    "metadata": {
     "editable": true
    },
@@ -1886,7 +1886,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9761ebfa",
+   "id": "b6b2b234",
    "metadata": {
     "editable": true
    },
@@ -1906,7 +1906,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c32c2d41",
+   "id": "82bd2034",
    "metadata": {
     "editable": true
    },
@@ -1930,7 +1930,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b80a5d4",
+   "id": "61a94d24",
    "metadata": {
     "editable": true
    },
@@ -1951,7 +1951,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e4a1154c",
+   "id": "fd22fd14",
    "metadata": {
     "editable": true
    },
@@ -1981,7 +1981,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8360a9e8",
+   "id": "3497401f",
    "metadata": {
     "editable": true
    },
@@ -2005,7 +2005,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "7f44021f",
+   "id": "3ef8772f",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2044,7 +2044,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51e8706d",
+   "id": "ffe9e08b",
    "metadata": {
     "editable": true
    },
@@ -2054,7 +2054,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d970a54f",
+   "id": "c8770096",
    "metadata": {
     "editable": true
    },
@@ -2065,7 +2065,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "ffdc0793",
+   "id": "ac35a65b",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2085,7 +2085,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1580c90a",
+   "id": "e4ad71a5",
    "metadata": {
     "editable": true
    },
@@ -2103,7 +2103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08e0c2a7",
+   "id": "edcf8b5c",
    "metadata": {
     "editable": true
    },
@@ -2115,7 +2115,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "80072766",
+   "id": "77b70dca",
    "metadata": {
     "editable": true
    },
@@ -2132,7 +2132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a40b71b0",
+   "id": "07cccff6",
    "metadata": {
     "editable": true
    },
@@ -2144,7 +2144,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a13d774",
+   "id": "b04fa9bd",
    "metadata": {
     "editable": true
    },
@@ -2154,7 +2154,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9680e502",
+   "id": "c79570c2",
    "metadata": {
     "editable": true
    },
@@ -2166,7 +2166,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dfdde330",
+   "id": "9a8a6a3b",
    "metadata": {
     "editable": true
    },
@@ -2183,7 +2183,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46b6b1da",
+   "id": "a9a892c2",
    "metadata": {
     "editable": true
    },
@@ -2195,7 +2195,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d17d3251",
+   "id": "0057120a",
    "metadata": {
     "editable": true
    },
@@ -2205,7 +2205,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5d7d5c71",
+   "id": "9e9b0c0f",
    "metadata": {
     "editable": true
    },
@@ -2217,7 +2217,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c1c2498",
+   "id": "4b28d5f5",
    "metadata": {
     "editable": true
    },
@@ -2227,7 +2227,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0364acd",
+   "id": "3fbb0a03",
    "metadata": {
     "editable": true
    },
@@ -2239,7 +2239,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e699a03d",
+   "id": "c367d950",
    "metadata": {
     "editable": true
    },
@@ -2249,7 +2249,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41096caa",
+   "id": "e71acf60",
    "metadata": {
     "editable": true
    },
@@ -2265,7 +2265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fe00b555",
+   "id": "93070f01",
    "metadata": {
     "editable": true
    },
@@ -2276,7 +2276,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "3a76eb15",
+   "id": "a46b37f7",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2341,7 +2341,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6107232",
+   "id": "152a6857",
    "metadata": {
     "editable": true
    },
@@ -2352,7 +2352,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "30727df8",
+   "id": "c385948e",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2409,7 +2409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2c3b2d0",
+   "id": "a6ddc62c",
    "metadata": {
     "editable": true
    },
@@ -2447,7 +2447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a63254aa",
+   "id": "3ff69bcd",
    "metadata": {
     "editable": true
    },
@@ -2458,7 +2458,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "253b4b84",
+   "id": "16bd46aa",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2540,7 +2540,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "55d1feb3",
+   "id": "d898e22e",
    "metadata": {
     "editable": true
    },
@@ -2565,7 +2565,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c41aece1",
+   "id": "b3c4bc74",
    "metadata": {
     "editable": true
    },
@@ -2593,7 +2593,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d6c3821",
+   "id": "35277af5",
    "metadata": {
     "editable": true
    },
@@ -2606,7 +2606,7 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9bcfab0b",
+   "id": "6e8a01e6",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2706,7 +2706,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "898805b6",
+   "id": "addf22bf",
    "metadata": {
     "editable": true
    },
@@ -2717,7 +2717,7 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "d1d3d505",
+   "id": "f1af3e2c",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -2806,7 +2806,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "516216a1",
+   "id": "c05b2a3a",
    "metadata": {
     "editable": true
    },
@@ -2816,7 +2816,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71225ab2",
+   "id": "be50bfa2",
    "metadata": {
     "editable": true
    },
@@ -2829,7 +2829,7 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "831753aa",
+   "id": "33fb2f51",
    "metadata": {
     "collapsed": false,
     "editable": true
diff --git a/doc/src/week37/week37.do.txt b/doc/src/week37/week37.do.txt
index 51aad6b24..ddaab9303 100644
--- a/doc/src/week37/week37.do.txt
+++ b/doc/src/week37/week37.do.txt
@@ -178,7 +178,7 @@ It is rather straightforward to show that
 \]
 !et
 We see clearly that 
-$\mathbb{E} \big[ \bm{\beta}^{\mathrm{Ridge}} \big] \not= \bm{\beta}^{\mathrm{OLS}}$ for any $\lambda > 0$. We say then that the ridge estimator is biased.
+$\mathbb{E} \big[ \bm{\beta}^{\mathrm{Ridge}} \big] \not= \bm{\beta}^{\mathrm{OLS}}$ for any $\lambda > 0$.
 
 We can also compute the variance as