From 621836e70c8e792ee4d2a3b4a331cfb0f48f4d2a Mon Sep 17 00:00:00 2001
From: Morten Hjorth-Jensen <morten.hjorth-jensen@fys.uio.no>
Date: Tue, 3 Sep 2024 05:59:13 +0200
Subject: [PATCH] small update on book

---
 .../_build/.doctrees/environment.pickle       | Bin 278749 -> 279304 bytes
 .../_build/.doctrees/week36.doctree           | Bin 425810 -> 426850 bytes
 .../_build/html/_sources/week36.ipynb         | 598 ++++++++---------
 doc/LectureNotes/_build/html/genindex.html    |   2 +-
 doc/LectureNotes/_build/html/intro.html       |   2 +-
 doc/LectureNotes/_build/html/objects.inv      | Bin 990 -> 987 bytes
 doc/LectureNotes/_build/html/search.html      |   2 +-
 doc/LectureNotes/_build/html/searchindex.js   |   2 +-
 doc/LectureNotes/_build/html/week36.html      |  35 +-
 .../_build/jupyter_execute/week36.ipynb       | 600 +++++++++---------
 .../_build/jupyter_execute/week36.py          |   8 +-
 doc/LectureNotes/week36.ipynb                 | 598 ++++++++---------
 12 files changed, 938 insertions(+), 909 deletions(-)

diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index e281510e5435535be3609558c8ec0fa1a7d8919c..c41ef4799d13f51dac9669b8fb729c7fc075143e 100644
GIT binary patch
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diff --git a/doc/LectureNotes/_build/html/_sources/week36.ipynb b/doc/LectureNotes/_build/html/_sources/week36.ipynb
index 9d7c9b89a..54d22c2f8 100644
--- a/doc/LectureNotes/_build/html/_sources/week36.ipynb
+++ b/doc/LectureNotes/_build/html/_sources/week36.ipynb
@@ -2,24 +2,24 @@
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+   "id": "9c0dc318",
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    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week36.do.txt --no_mako -->\n",
-    "<!-- dom:TITLE: Week 36: Linear Rgeression and Statistical interpretations -->"
+    "<!-- dom:TITLE: Week 36: Linear Regression and Statistical interpretations -->"
    ]
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   {
    "cell_type": "markdown",
-   "id": "91ddfc70",
+   "id": "849ba8af",
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    "source": [
-    "# Week 36: Linear Rgeression and Statistical interpretations\n",
+    "# Week 36: Linear Regression and Statistical interpretations\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
     "\n",
     "Date: **September 2-6, 2024**"
@@ -27,7 +27,7 @@
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   {
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@@ -111,6 +111,8 @@
     "penalization of the parameters since their magnitude depends on the\n",
     "scale of their corresponding predictor.\n",
     "\n",
+    "The **Scikit-Learn** site <https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section> has a good discussion of different ways of preprocessing data.\n",
+    "\n",
     "Suppose as an example that you \n",
     "you have an input variable given by the heights of different persons.\n",
     "Human height might be measured in inches or meters or\n",
@@ -126,7 +128,7 @@
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@@ -196,7 +198,7 @@
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     "editable": true
    },
@@ -475,7 +477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d6e0895",
+   "id": "2a9a5c4f",
    "metadata": {
     "editable": true
    },
@@ -488,7 +490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b314aa68",
+   "id": "e50001bb",
    "metadata": {
     "editable": true
    },
@@ -500,7 +502,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c4a4032",
+   "id": "5f53b969",
    "metadata": {
     "editable": true
    },
@@ -514,7 +516,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7851af68",
+   "id": "f6f9927d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -593,7 +595,7 @@
     "intercept = np.mean(y_offset - X_offset @ beta)\n",
     "\n",
     "print(f\"Manual intercept: {intercept}\")\n",
-    "print(f\"Fitted beta (wiothout intercept): {beta}\")\n",
+    "print(f\"Fitted beta (without intercept): {beta}\")\n",
     "print(f\"Sklearn intercept: {skl.intercept_}\")\n",
     "print(f\"Sklearn fitted beta (without intercept): {skl.coef_}\")\n",
     "ypredictOwn = X @ beta\n",
@@ -613,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96995260",
+   "id": "291ce957",
    "metadata": {
     "editable": true
    },
@@ -634,7 +636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e02411ba",
+   "id": "c051ed4b",
    "metadata": {
     "editable": true
    },
@@ -646,7 +648,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd2082ec",
+   "id": "fe5619e0",
    "metadata": {
     "editable": true
    },
@@ -656,7 +658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "701e4d68",
+   "id": "c774a2da",
    "metadata": {
     "editable": true
    },
@@ -668,7 +670,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d89244c",
+   "id": "7ff02147",
    "metadata": {
     "editable": true
    },
@@ -678,7 +680,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "596c0314",
+   "id": "8fa5265e",
    "metadata": {
     "editable": true
    },
@@ -690,7 +692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daf1b75f",
+   "id": "597a5084",
    "metadata": {
     "editable": true
    },
@@ -708,7 +710,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "94807025",
+   "id": "21c45264",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -784,7 +786,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c95fe0b",
+   "id": "c1da684b",
    "metadata": {
     "editable": true
    },
@@ -798,7 +800,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "bb5f871b",
+   "id": "e0559f64",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -887,7 +889,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4724185f",
+   "id": "ec11139c",
    "metadata": {
     "editable": true
    },
@@ -902,7 +904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63a40c4b",
+   "id": "17620c10",
    "metadata": {
     "editable": true
    },
@@ -928,7 +930,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "44e30f6c",
+   "id": "9bc3430d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1001,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7614dd80",
+   "id": "3cb22033",
    "metadata": {
     "editable": true
    },
@@ -1011,7 +1013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d0b865b",
+   "id": "6ac74a15",
    "metadata": {
     "editable": true
    },
@@ -1040,7 +1042,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b3043fb",
+   "id": "3f2a8c3a",
    "metadata": {
     "editable": true
    },
@@ -1056,7 +1058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbfeab43",
+   "id": "4ba99485",
    "metadata": {
     "editable": true
    },
@@ -1075,7 +1077,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67514fcf",
+   "id": "d984cb84",
    "metadata": {
     "editable": true
    },
@@ -1089,7 +1091,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7557d7a",
+   "id": "3c1ddf74",
    "metadata": {
     "editable": true
    },
@@ -1101,7 +1103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60f32679",
+   "id": "37485db6",
    "metadata": {
     "editable": true
    },
@@ -1112,7 +1114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5268089",
+   "id": "1561bf6c",
    "metadata": {
     "editable": true
    },
@@ -1124,7 +1126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d98108e",
+   "id": "c3485e3e",
    "metadata": {
     "editable": true
    },
@@ -1136,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6940b69c",
+   "id": "1a107c08",
    "metadata": {
     "editable": true
    },
@@ -1152,7 +1154,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c9b9e98",
+   "id": "8c501537",
    "metadata": {
     "editable": true
    },
@@ -1163,7 +1165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337a1fcc",
+   "id": "7ddca07f",
    "metadata": {
     "editable": true
    },
@@ -1186,7 +1188,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b179e200",
+   "id": "3096528c",
    "metadata": {
     "editable": true
    },
@@ -1197,7 +1199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "189f6827",
+   "id": "349296ad",
    "metadata": {
     "editable": true
    },
@@ -1209,7 +1211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d145d77b",
+   "id": "86d19218",
    "metadata": {
     "editable": true
    },
@@ -1221,7 +1223,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2c188e3",
+   "id": "5aba4205",
    "metadata": {
     "editable": true
    },
@@ -1235,7 +1237,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e4e08b3",
+   "id": "21e2d706",
    "metadata": {
     "editable": true
    },
@@ -1266,7 +1268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5d610f9",
+   "id": "e7f65edd",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6bfa2a5",
+   "id": "e52e666e",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dff8f227",
+   "id": "35f12e56",
    "metadata": {
     "editable": true
    },
@@ -1313,7 +1315,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08d29968",
+   "id": "7f26f798",
    "metadata": {
     "editable": true
    },
@@ -1325,7 +1327,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20600c78",
+   "id": "c8a78f99",
    "metadata": {
     "editable": true
    },
@@ -1337,7 +1339,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ff509af",
+   "id": "ad8e843e",
    "metadata": {
     "editable": true
    },
@@ -1349,7 +1351,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf860be3",
+   "id": "534a8758",
    "metadata": {
     "editable": true
    },
@@ -1361,7 +1363,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ea27c12",
+   "id": "06e92c3e",
    "metadata": {
     "editable": true
    },
@@ -1384,7 +1386,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5548a408",
+   "id": "3b0536ad",
    "metadata": {
     "editable": true
    },
@@ -1396,7 +1398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bdaa109",
+   "id": "e4ed95ed",
    "metadata": {
     "editable": true
    },
@@ -1409,7 +1411,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52d62b74",
+   "id": "bfc17c29",
    "metadata": {
     "editable": true
    },
@@ -1421,7 +1423,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb00279",
+   "id": "d92481fd",
    "metadata": {
     "editable": true
    },
@@ -1433,7 +1435,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26afb900",
+   "id": "ee3de12e",
    "metadata": {
     "editable": true
    },
@@ -1445,7 +1447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da41b50e",
+   "id": "e94d68c8",
    "metadata": {
     "editable": true
    },
@@ -1456,7 +1458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7719498b",
+   "id": "c463cf84",
    "metadata": {
     "editable": true
    },
@@ -1468,7 +1470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f43bef91",
+   "id": "7787fd0d",
    "metadata": {
     "editable": true
    },
@@ -1479,7 +1481,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d8c9aff8",
+   "id": "3ac590b8",
    "metadata": {
     "editable": true
    },
@@ -1491,7 +1493,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdb01c2a",
+   "id": "4a51a588",
    "metadata": {
     "editable": true
    },
@@ -1501,7 +1503,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "679bc6f9",
+   "id": "1691757c",
    "metadata": {
     "editable": true
    },
@@ -1532,7 +1534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde130e7",
+   "id": "8e2f5b79",
    "metadata": {
     "editable": true
    },
@@ -1544,7 +1546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "feac486a",
+   "id": "3b28ec59",
    "metadata": {
     "editable": true
    },
@@ -1556,7 +1558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad8049ca",
+   "id": "9766c677",
    "metadata": {
     "editable": true
    },
@@ -1566,7 +1568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "14dd5b9e",
+   "id": "efd5b977",
    "metadata": {
     "editable": true
    },
@@ -1578,7 +1580,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f42fa20",
+   "id": "fb90dc2d",
    "metadata": {
     "editable": true
    },
@@ -1588,7 +1590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0484474c",
+   "id": "cc0b3bc4",
    "metadata": {
     "editable": true
    },
@@ -1600,7 +1602,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6517f251",
+   "id": "bb3f22e3",
    "metadata": {
     "editable": true
    },
@@ -1610,7 +1612,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0238ae3e",
+   "id": "cc31120a",
    "metadata": {
     "editable": true
    },
@@ -1622,7 +1624,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f829d004",
+   "id": "3f3d5d71",
    "metadata": {
     "editable": true
    },
@@ -1632,7 +1634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c68ecfe",
+   "id": "3e1b44bb",
    "metadata": {
     "editable": true
    },
@@ -1652,7 +1654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0342e437",
+   "id": "c0111522",
    "metadata": {
     "editable": true
    },
@@ -1664,7 +1666,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab4bc57a",
+   "id": "99f7d382",
    "metadata": {
     "editable": true
    },
@@ -1674,7 +1676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a67bcf0c",
+   "id": "c24b7989",
    "metadata": {
     "editable": true
    },
@@ -1686,7 +1688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b549c11",
+   "id": "0e63a0ea",
    "metadata": {
     "editable": true
    },
@@ -1698,7 +1700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b572a768",
+   "id": "d01f8997",
    "metadata": {
     "editable": true
    },
@@ -1710,7 +1712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "438ce1e4",
+   "id": "d439bb3d",
    "metadata": {
     "editable": true
    },
@@ -1722,7 +1724,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85b16691",
+   "id": "45664795",
    "metadata": {
     "editable": true
    },
@@ -1734,7 +1736,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a01bf532",
+   "id": "2b7883ff",
    "metadata": {
     "editable": true
    },
@@ -1746,7 +1748,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba71fce0",
+   "id": "7b1b49c9",
    "metadata": {
     "editable": true
    },
@@ -1758,7 +1760,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e49e52c9",
+   "id": "9690a4ac",
    "metadata": {
     "editable": true
    },
@@ -1770,7 +1772,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcae9855",
+   "id": "76e3a65e",
    "metadata": {
     "editable": true
    },
@@ -1780,7 +1782,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b9152eec",
+   "id": "5aefa2c7",
    "metadata": {
     "editable": true
    },
@@ -1792,7 +1794,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "42302594",
+   "id": "3252b61c",
    "metadata": {
     "editable": true
    },
@@ -1802,7 +1804,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "376c25b8",
+   "id": "96d0ef1f",
    "metadata": {
     "editable": true
    },
@@ -1821,7 +1823,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "724ee74e",
+   "id": "a4250df4",
    "metadata": {
     "editable": true
    },
@@ -1842,7 +1844,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f655ed47",
+   "id": "e160c63c",
    "metadata": {
     "editable": true
    },
@@ -1854,7 +1856,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f34f4249",
+   "id": "117b8335",
    "metadata": {
     "editable": true
    },
@@ -1865,7 +1867,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cd4faab",
+   "id": "bfcee4fc",
    "metadata": {
     "editable": true
    },
@@ -1878,7 +1880,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c12d2ed",
+   "id": "e99a4226",
    "metadata": {
     "editable": true
    },
@@ -1890,7 +1892,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4db8a637",
+   "id": "2fc074fe",
    "metadata": {
     "editable": true
    },
@@ -1900,7 +1902,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e29462d1",
+   "id": "3b7ff730",
    "metadata": {
     "editable": true
    },
@@ -1912,7 +1914,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b17d001a",
+   "id": "575abc7a",
    "metadata": {
     "editable": true
    },
@@ -1922,7 +1924,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e923ab3c",
+   "id": "29cabf38",
    "metadata": {
     "editable": true
    },
@@ -1934,7 +1936,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "debb0024",
+   "id": "24346d8a",
    "metadata": {
     "editable": true
    },
@@ -1944,7 +1946,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f62723b0",
+   "id": "c41e14cc",
    "metadata": {
     "editable": true
    },
@@ -1958,7 +1960,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7371f10",
+   "id": "ca947927",
    "metadata": {
     "editable": true
    },
@@ -1970,7 +1972,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a21e500",
+   "id": "76e24b45",
    "metadata": {
     "editable": true
    },
@@ -1980,7 +1982,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6dd4a97e",
+   "id": "ba01016e",
    "metadata": {
     "editable": true
    },
@@ -1992,7 +1994,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90d532d6",
+   "id": "533d2d8f",
    "metadata": {
     "editable": true
    },
@@ -2002,7 +2004,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "320c6012",
+   "id": "c77f0b4c",
    "metadata": {
     "editable": true
    },
@@ -2014,7 +2016,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d80e04f2",
+   "id": "317fabc0",
    "metadata": {
     "editable": true
    },
@@ -2024,7 +2026,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ded985c4",
+   "id": "6dff410f",
    "metadata": {
     "editable": true
    },
@@ -2036,7 +2038,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c7b32590",
+   "id": "90a0daa7",
    "metadata": {
     "editable": true
    },
@@ -2046,7 +2048,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "234af442",
+   "id": "e84dfb5c",
    "metadata": {
     "editable": true
    },
@@ -2062,7 +2064,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2dfde9e5",
+   "id": "3782f5b5",
    "metadata": {
     "editable": true
    },
@@ -2074,7 +2076,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "86074376",
+   "id": "55d714fe",
    "metadata": {
     "editable": true
    },
@@ -2084,7 +2086,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "269ca6a0",
+   "id": "f511ff90",
    "metadata": {
     "editable": true
    },
@@ -2096,7 +2098,7 @@
   },
   {
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@@ -2109,7 +2111,7 @@
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@@ -2121,7 +2123,7 @@
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@@ -2131,7 +2133,7 @@
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@@ -2143,7 +2145,7 @@
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@@ -2153,7 +2155,7 @@
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@@ -2165,7 +2167,7 @@
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@@ -2177,7 +2179,7 @@
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@@ -2187,7 +2189,7 @@
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@@ -2199,7 +2201,7 @@
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@@ -2211,7 +2213,7 @@
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@@ -2223,7 +2225,7 @@
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@@ -2233,7 +2235,7 @@
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@@ -2245,7 +2247,7 @@
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@@ -2255,7 +2257,7 @@
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@@ -2267,7 +2269,7 @@
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@@ -2279,7 +2281,7 @@
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@@ -2291,7 +2293,7 @@
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@@ -2301,7 +2303,7 @@
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@@ -2313,7 +2315,7 @@
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@@ -2323,7 +2325,7 @@
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@@ -2340,7 +2342,7 @@
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@@ -2350,7 +2352,7 @@
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@@ -2362,7 +2364,7 @@
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@@ -2372,7 +2374,7 @@
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@@ -2384,7 +2386,7 @@
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@@ -2398,7 +2400,7 @@
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@@ -2410,7 +2412,7 @@
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@@ -2432,7 +2434,7 @@
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@@ -2444,7 +2446,7 @@
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@@ -2459,7 +2461,7 @@
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@@ -2471,7 +2473,7 @@
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@@ -2483,7 +2485,7 @@
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@@ -2493,7 +2495,7 @@
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@@ -2505,7 +2507,7 @@
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@@ -2515,7 +2517,7 @@
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@@ -2527,7 +2529,7 @@
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@@ -2537,7 +2539,7 @@
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@@ -2549,7 +2551,7 @@
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@@ -2566,7 +2568,7 @@
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@@ -2580,7 +2582,7 @@
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@@ -2594,7 +2596,7 @@
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@@ -2605,7 +2607,7 @@
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@@ -2645,7 +2647,7 @@
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@@ -2665,7 +2667,7 @@
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@@ -2677,7 +2679,7 @@
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@@ -2688,7 +2690,7 @@
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@@ -2722,7 +2724,7 @@
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@@ -2732,7 +2734,7 @@
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@@ -2745,7 +2747,7 @@
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@@ -2757,7 +2759,7 @@
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@@ -2767,7 +2769,7 @@
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@@ -2780,7 +2782,7 @@
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@@ -2790,7 +2792,7 @@
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@@ -2802,7 +2804,7 @@
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@@ -2817,7 +2819,7 @@
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@@ -2830,7 +2832,7 @@
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@@ -2844,7 +2846,7 @@
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@@ -2856,7 +2858,7 @@
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@@ -2866,7 +2868,7 @@
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@@ -2879,7 +2881,7 @@
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@@ -2891,7 +2893,7 @@
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@@ -2903,7 +2905,7 @@
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@@ -2915,7 +2917,7 @@
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@@ -2927,7 +2929,7 @@
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@@ -2941,7 +2943,7 @@
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@@ -2953,7 +2955,7 @@
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@@ -2963,7 +2965,7 @@
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@@ -2975,7 +2977,7 @@
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@@ -2985,7 +2987,7 @@
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@@ -2997,7 +2999,7 @@
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@@ -3009,7 +3011,7 @@
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@@ -3019,7 +3021,7 @@
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@@ -3030,7 +3032,7 @@
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@@ -3042,7 +3044,7 @@
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@@ -3058,7 +3060,7 @@
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@@ -3071,7 +3073,7 @@
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@@ -3083,7 +3085,7 @@
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@@ -3093,7 +3095,7 @@
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@@ -3105,7 +3107,7 @@
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@@ -3115,7 +3117,7 @@
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@@ -3127,7 +3129,7 @@
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@@ -3139,7 +3141,7 @@
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@@ -3155,7 +3157,7 @@
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@@ -3167,7 +3169,7 @@
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@@ -3179,7 +3181,7 @@
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@@ -3189,7 +3191,7 @@
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@@ -3201,7 +3203,7 @@
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@@ -3211,7 +3213,7 @@
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@@ -3223,7 +3225,7 @@
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@@ -3240,7 +3242,7 @@
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@@ -3252,7 +3254,7 @@
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@@ -3264,7 +3266,7 @@
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@@ -3274,7 +3276,7 @@
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@@ -3286,7 +3288,7 @@
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@@ -3296,7 +3298,7 @@
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@@ -3308,7 +3310,7 @@
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@@ -3318,7 +3320,7 @@
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@@ -3330,7 +3332,7 @@
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@@ -3340,7 +3342,7 @@
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@@ -3355,7 +3357,7 @@
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@@ -3367,7 +3369,7 @@
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class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","<span class=\"section-number\">1. </span>Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Rgeression and Statistical 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class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","<span class=\"section-number\">1. </span>Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations"],titleterms:{"1":[0,15,16,17,20,25,26],"17":[],"18":[],"2":[0,15,16,17,25,26,27],"2023":23,"2024":20,"26":26,"3":[0,15,16,25,26],"34":[15,25],"35":[16,26],"36":[17,27],"4":[0,26],"5":0,"7":20,"9":[],"case":[8,10,22,26,27],"do":[1,27],"final":[12,26,27],"function":[0,1,6,7,8,10,11,12,13,20,22,25,26,27],"import":[5,19,25,26,27],"new":[4,27],A:[0,1,4,8,9,25,27],And:[25,26,27],For:26,In:23,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,18,25,26,27],To:[25,26],With:[4,27],about:[25,26],abov:27,activ:[1,12,27],ad:[0,6,17,20,25,26],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:[20,25],aim:[8,9,17,25],aka:[25,26],algebra:[19,25],algorithm:[9,10,11,12,26],algortithm:13,all:8,altern:[],an:[0,4,10,25],analys:[5,26],analysi:[0,5,6,11,18,20,22,25,26,27],analyt:[0,16,17],analyz:[],ani:13,anoth:[9,27],appli:18,approach:[0,8,14,25],approxim:12,architectur:1,arrai:[19,25],assist:23,assumpt:27,august:26,autocorrel:22,autograd:[2,13],automat:13,b:[17,20],back:[1,11,12],background:[18,20],bag:10,base:13,basic:[0,5,7,9,10,11,19,26,27],batch:1,bay:[5,27],befor:11,beta:27,better:8,bia:[6,20],binari:1,bind:25,bird:10,boldsymbol:[26,27],boost:10,bootstrap:[6,10],boston:0,breast:1,brief:25,bring:12,build:[1,3,9],c:[20,25],calcul:26,can:25,cancer:[1,7,9,11],cart:9,center:26,central:[13,18,22],chain:12,chang:10,channel:25,chi:[0,25],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,25,26,27],collect:[1,3],commun:25,compar:[2,10],comparison:27,complet:26,complex:[0,6,20,26],complic:6,compon:11,comput:9,computerlab:25,con:9,concept:22,condit:27,conjug:13,contn:25,convex:[8,13],convolut:[3,12],correctli:27,correl:[11,26],cost:[1,10,26,27],cours:[18,24,25],covari:[5,11,22,26],cover:25,critic:[],cross:[6,20],cython:25,d:20,data:[0,1,3,6,7,9,11,15,16,18,20,22,25,26,27],dataset:[1,3],deadlin:[20,25],decai:2,decemb:[],decis:[9,10],decomposit:[5,11,17,19,26],deep:[1,2,25],defin:[1,25],degre:[0,26],deliveri:20,dens:[0,25],deriv:[5,12,26,27],descent:[2,10,13],descript:20,design:26,detail:[3,25],develop:1,diagon:11,differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,20,26],disadvantag:9,discret:22,distribut:[5,22,27],doe:[26,27],domain:22,down:1,dropout:1,e:20,economi:26,electron:20,element:[0,22,25],elimin:19,energi:25,ensembl:10,entropi:9,environ:[0,15,25],equat:[0,2,12,25,26,27],error:[0,10,25,26],essenti:25,estim:27,etc:25,euler:2,evalu:1,exampl:[0,1,2,3,4,6,7,8,9,10,25,26,27],exercis:[0,6,15,16,17,25,26],expect:[22,27],experi:22,explor:[0,15,16,25],exponenti:2,express:[17,26],extrapol:4,extrem:[10,25],ey:10,f:20,fall:23,famili:[1,25,26],famou:19,fantast:26,featur:[9,19,26],feed:[1,12],fine:1,first:[4,12,25,26,27],fit:[0,10,25,27],fix:26,forc:3,forest:10,format:[20,25],forward:[1,2,12],fourier:3,frank:[6,20,26],freedom:[0,26],frequent:26,frequentist:[0,25],from:[5,10,12,26,27],full:2,further:[3,5,26],g:20,gan:4,gaussian:19,gd:13,gener:[4,9,25],geometr:11,gini:9,good:[0,25],grade:[23,25],gradient:[1,2,10,13],growth:2,ha:18,handl:[19,25,26],happen:27,hessian:26,hidden:2,hous:0,hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ident:27,ii:25,iid:27,illustr:27,implement:1,implic:[5,26],improv:1,includ:13,increment:11,independ:27,index:9,inform:23,input:2,instal:[18,20,25],instructor:23,intercept:26,interpret:[5,11,25,26,27],introduc:[11,13,26],introduct:[0,6,18,19,20,25],invers:[5,19,27],invert:26,iter:10,its:26,jacobian:26,jax:13,julia:25,jungl:10,kera:[1,3],kernel:[8,11],lagrangian:8,lasso:[5,6,20,26,27],last:26,later:[5,26],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,18,20,25,26,27],least:[5,6,20,25,26,27],lectur:[25,26,27],level:10,librari:[18,25],likelihood:[7,27],limit:[1,13,22],linear:[0,8,13,19,25,26,27],link:[5,11,21,24,26,27],literatur:20,logist:[7,25],loss:26,lu:19,machin:[0,8,13,18,20,25],made:27,main:[22,25],make:[0,9,10,15,16,25,26],mani:[10,12],manipul:26,margin:27,mass:25,materi:[20,21,25,26,27],math:[5,26],mathemat:[3,5,8,26],matric:[5,19,25,27],matrix:[1,5,11,12,19,25,26,27],matter:[0,25],max:26,maximum:27,mean:[0,26,27],meet:[5,10,22,25,26],mercer:8,method:[6,9,10,13,20,25],midnight:20,min:26,minim:25,ml:25,mle:27,mlp:12,mnist:[3,4],model:[0,1,4,6,12,25],momentum:13,mondai:[26,27],moon:[8,9],more:[3,6,19,20,25,26,27],multilay:12,multipl:[1,3],multipli:8,need:[20,25],network:[1,2,3,4,7,12,25],neural:[1,2,3,4,7,12,25],non:8,normal:[0,1],notat:12,note:[20,26,27],novemb:[],now:[1,9,13,27],nuclear:[0,25],numba:25,number:[0,2,22,26],numer:[2,20,22],numpi:[19,25],object:3,obtain:11,octob:20,od:2,off:[6,20],ol:[5,6,20,27],one:[2,12],oper:19,optim:[1,8,13,18,25,26],order:13,ordinari:[5,6,20,25,26,27],organ:[0,25],oslo:24,other:[4,9,11,12,19,20,25,26],our:[0,4,5,11,13,25,26],outcom:[18,25],output:2,overarch:[0,4,8,9,17,25,26],overview:[10,25],own:[0,10,11,15,16,25,26],packag:[19,25],panda:[25,26],paper:20,paramet:[25,26],part:[13,18,20,26],partial:2,pass:1,path:[],pca:11,pdf:22,pencil:20,perceptron:12,perform:[1,9],period:3,perspect:1,plan:[26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\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week36.html b/doc/LectureNotes/_build/html/week36.html
index 16151d1f3..a5b737804 100644
--- a/doc/LectureNotes/_build/html/week36.html
+++ b/doc/LectureNotes/_build/html/week36.html
@@ -5,7 +5,7 @@
   <head>
     <meta charset="utf-8" />
     <meta name="viewport" content="width=device-width, initial-scale=1.0" />
-    <title>Week 36: Linear Rgeression and Statistical interpretations &#8212; Applied Data Analysis and Machine Learning</title>
+    <title>Week 36: Linear Regression and Statistical interpretations &#8212; Applied Data Analysis and Machine Learning</title>
     
   <link href="_static/css/theme.css" rel="stylesheet">
   <link href="_static/css/index.ff1ffe594081f20da1ef19478df9384b.css" rel="stylesheet">
@@ -55,6 +55,7 @@ const thebe_selector_output = ".output, .cell_output"
     <script defer="defer" src="https://cdn.jsdelivr.net/npm/mathjax@3/es5/tex-mml-chtml.js"></script>
     <link rel="index" title="Index" href="genindex.html" />
     <link rel="search" title="Search" href="search.html" />
+    <link rel="next" title="Project 1 on Machine Learning, deadline October 7 (midnight), 2024" href="project1.html" />
     <link rel="prev" title="Exercises week 36" href="exercisesweek36.html" />
     <meta name="viewport" content="width=device-width, initial-scale=1" />
     <meta name="docsearch:language" content="None">
@@ -274,7 +275,19 @@ const thebe_selector_output = ".output, .cell_output"
  </li>
  <li class="toctree-l1 current active">
   <a class="current reference internal" href="#">
-   Week 36: Linear Rgeression and Statistical interpretations
+   Week 36: Linear Regression and Statistical interpretations
+  </a>
+ </li>
+</ul>
+<p aria-level="2" class="caption" role="heading">
+ <span class="caption-text">
+  Projects
+ </span>
+</p>
+<ul class="nav bd-sidenav">
+ <li class="toctree-l1">
+  <a class="reference internal" href="project1.html">
+   Project 1 on Machine Learning, deadline October 7 (midnight), 2024
   </a>
  </li>
 </ul>
@@ -609,7 +622,7 @@ const thebe_selector_output = ".output, .cell_output"
         <div class="col-12 col-md-9 pl-md-3 pr-md-0">
             <!-- Table of contents that is only displayed when printing the page -->
             <div id="jb-print-docs-body" class="onlyprint">
-                <h1>Week 36: Linear Rgeression and Statistical interpretations</h1>
+                <h1>Week 36: Linear Regression and Statistical interpretations</h1>
                 <!-- Table of contents -->
                 <div id="print-main-content">
                     <div id="jb-print-toc">
@@ -881,8 +894,8 @@ const thebe_selector_output = ".output, .cell_output"
                 
   <!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)
 doconce format html week36.do.txt --no_mako -->
-<!-- dom:TITLE: Week 36: Linear Rgeression and Statistical interpretations --><div class="tex2jax_ignore mathjax_ignore section" id="week-36-linear-rgeression-and-statistical-interpretations">
-<h1>Week 36: Linear Rgeression and Statistical interpretations<a class="headerlink" href="#week-36-linear-rgeression-and-statistical-interpretations" title="Permalink to this headline">¶</a></h1>
+<!-- dom:TITLE: Week 36: Linear Regression and Statistical interpretations --><div class="tex2jax_ignore mathjax_ignore section" id="week-36-linear-regression-and-statistical-interpretations">
+<h1>Week 36: Linear Regression and Statistical interpretations<a class="headerlink" href="#week-36-linear-regression-and-statistical-interpretations" title="Permalink to this headline">¶</a></h1>
 <p><strong>Morten Hjorth-Jensen</strong>, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</p>
 <p>Date: <strong>September 2-6, 2024</strong></p>
 <div class="section" id="plans-for-week-36">
@@ -941,6 +954,7 @@ survey of your data, with a critical assessment of them in case you need to scal
 <p>If you need to scale the data, not doing so will give an <em>unfair</em>
 penalization of the parameters since their magnitude depends on the
 scale of their corresponding predictor.</p>
+<p>The <strong>Scikit-Learn</strong> site <a class="reference external" href="https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section">https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section</a> has a good discussion of different ways of preprocessing data.</p>
 <p>Suppose as an example that you
 you have an input variable given by the heights of different persons.
 Human height might be measured in inches or meters or
@@ -1142,7 +1156,7 @@ Note also that we do not split the data into training and test.</p>
 <span class="n">intercept</span> <span class="o">=</span> <span class="n">np</span><span class="o">.</span><span class="n">mean</span><span class="p">(</span><span class="n">y_offset</span> <span class="o">-</span> <span class="n">X_offset</span> <span class="o">@</span> <span class="n">beta</span><span class="p">)</span>
 
 <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Manual intercept: </span><span class="si">{</span><span class="n">intercept</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
-<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Fitted beta (wiothout intercept): </span><span class="si">{</span><span class="n">beta</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
+<span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Fitted beta (without intercept): </span><span class="si">{</span><span class="n">beta</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
 <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Sklearn intercept: </span><span class="si">{</span><span class="n">skl</span><span class="o">.</span><span class="n">intercept_</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
 <span class="nb">print</span><span class="p">(</span><span class="sa">f</span><span class="s2">&quot;Sklearn fitted beta (without intercept): </span><span class="si">{</span><span class="n">skl</span><span class="o">.</span><span class="n">coef_</span><span class="si">}</span><span class="s2">&quot;</span><span class="p">)</span>
 <span class="n">ypredictOwn</span> <span class="o">=</span> <span class="n">X</span> <span class="o">@</span> <span class="n">beta</span>
@@ -1170,7 +1184,7 @@ MSE with intercept column
 MSE with intercept column from SKL
 0.004113634617443147
 Manual intercept: 2.083766322923899
-Fitted beta (wiothout intercept): [0.19569961 3.97898392]
+Fitted beta (without intercept): [0.19569961 3.97898392]
 Sklearn intercept: 2.0837663229239043
 Sklearn fitted beta (without intercept): [0.19569961 3.97898392]
 MSE with Manual intercept
@@ -2903,6 +2917,13 @@ C(\boldsymbol{\beta})=(4-2\beta_0)^2+(2-\beta_1)^2+\lambda(\vert\beta_0\vert+\ve
             <p class="prev-next-title">Exercises week 36</p>
         </div>
     </a>
+    <a class='right-next' id="next-link" href="project1.html" title="next page">
+    <div class="prev-next-info">
+        <p class="prev-next-subtitle">next</p>
+        <p class="prev-next-title">Project 1 on Machine Learning, deadline October 7 (midnight), 2024</p>
+    </div>
+    <i class="fas fa-angle-right"></i>
+    </a>
 </div>
             
         </div>
diff --git a/doc/LectureNotes/_build/jupyter_execute/week36.ipynb b/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
index 390991ec8..ee58e1ea9 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week36.ipynb
@@ -2,24 +2,24 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "03b68af2",
+   "id": "9c0dc318",
    "metadata": {
     "editable": true
    },
    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week36.do.txt --no_mako -->\n",
-    "<!-- dom:TITLE: Week 36: Linear Rgeression and Statistical interpretations -->"
+    "<!-- dom:TITLE: Week 36: Linear Regression and Statistical interpretations -->"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "91ddfc70",
+   "id": "849ba8af",
    "metadata": {
     "editable": true
    },
    "source": [
-    "# Week 36: Linear Rgeression and Statistical interpretations\n",
+    "# Week 36: Linear Regression and Statistical interpretations\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
     "\n",
     "Date: **September 2-6, 2024**"
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c25f7c42",
+   "id": "728b1450",
    "metadata": {
     "editable": true
    },
@@ -59,7 +59,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5230b8b",
+   "id": "fa824343",
    "metadata": {
     "editable": true
    },
@@ -69,7 +69,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd9ed4d",
+   "id": "127a1d85",
    "metadata": {
     "editable": true
    },
@@ -111,6 +111,8 @@
     "penalization of the parameters since their magnitude depends on the\n",
     "scale of their corresponding predictor.\n",
     "\n",
+    "The **Scikit-Learn** site <https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section> has a good discussion of different ways of preprocessing data.\n",
+    "\n",
     "Suppose as an example that you \n",
     "you have an input variable given by the heights of different persons.\n",
     "Human height might be measured in inches or meters or\n",
@@ -126,7 +128,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a5ec261b",
+   "id": "c6ebacde",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -164,7 +166,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cc0694a",
+   "id": "fc178524",
    "metadata": {
     "editable": true
    },
@@ -178,7 +180,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3b8bc0b",
+   "id": "59f7961a",
    "metadata": {
     "editable": true
    },
@@ -190,7 +192,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd6de781",
+   "id": "be28a0cf",
    "metadata": {
     "editable": true
    },
@@ -207,7 +209,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfd7a040",
+   "id": "85a4c84d",
    "metadata": {
     "editable": true
    },
@@ -219,7 +221,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41e1b93b",
+   "id": "218f120f",
    "metadata": {
     "editable": true
    },
@@ -229,7 +231,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24749eb9",
+   "id": "e348305f",
    "metadata": {
     "editable": true
    },
@@ -241,7 +243,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b922308a",
+   "id": "a6bf603c",
    "metadata": {
     "editable": true
    },
@@ -251,7 +253,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70be741b",
+   "id": "1323adc1",
    "metadata": {
     "editable": true
    },
@@ -263,7 +265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b295f0ba",
+   "id": "79c494d0",
    "metadata": {
     "editable": true
    },
@@ -274,7 +276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb1e5813",
+   "id": "3c30949e",
    "metadata": {
     "editable": true
    },
@@ -286,7 +288,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "578817a0",
+   "id": "8faf8800",
    "metadata": {
     "editable": true
    },
@@ -296,7 +298,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "78bb7489",
+   "id": "6d811ffb",
    "metadata": {
     "editable": true
    },
@@ -308,7 +310,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45cdf117",
+   "id": "bd68d409",
    "metadata": {
     "editable": true
    },
@@ -318,7 +320,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d671bea1",
+   "id": "de53612d",
    "metadata": {
     "editable": true
    },
@@ -330,7 +332,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1e037f7",
+   "id": "6ef74f9d",
    "metadata": {
     "editable": true
    },
@@ -340,7 +342,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5592094a",
+   "id": "77df1f8c",
    "metadata": {
     "editable": true
    },
@@ -352,7 +354,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3784e759",
+   "id": "36bb7a6b",
    "metadata": {
     "editable": true
    },
@@ -362,7 +364,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "238e4a7c",
+   "id": "a0eab738",
    "metadata": {
     "editable": true
    },
@@ -374,7 +376,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d9e90e7",
+   "id": "47c6fc06",
    "metadata": {
     "editable": true
    },
@@ -384,7 +386,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ecc0ad6",
+   "id": "7af88710",
    "metadata": {
     "editable": true
    },
@@ -396,7 +398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5bb35680",
+   "id": "0c5e0f39",
    "metadata": {
     "editable": true
    },
@@ -406,7 +408,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "748c35c7",
+   "id": "b711214e",
    "metadata": {
     "editable": true
    },
@@ -418,7 +420,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06776f59",
+   "id": "4dda1b9b",
    "metadata": {
     "editable": true
    },
@@ -428,7 +430,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d6d58ba",
+   "id": "06a3d0a4",
    "metadata": {
     "editable": true
    },
@@ -440,7 +442,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc9ff189",
+   "id": "29e6bed9",
    "metadata": {
     "editable": true
    },
@@ -452,7 +454,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc5996b6",
+   "id": "67fbd0e0",
    "metadata": {
     "editable": true
    },
@@ -464,7 +466,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "beac8256",
+   "id": "e957206a",
    "metadata": {
     "editable": true
    },
@@ -474,7 +476,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70ffda09",
+   "id": "b4c37288",
    "metadata": {
     "editable": true
    },
@@ -486,7 +488,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d6e0895",
+   "id": "2a9a5c4f",
    "metadata": {
     "editable": true
    },
@@ -499,7 +501,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b314aa68",
+   "id": "e50001bb",
    "metadata": {
     "editable": true
    },
@@ -511,7 +513,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c4a4032",
+   "id": "5f53b969",
    "metadata": {
     "editable": true
    },
@@ -525,7 +527,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7851af68",
+   "id": "f6f9927d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -543,7 +545,7 @@
       "MSE with intercept column from SKL\n",
       "0.004113634617443147\n",
       "Manual intercept: 2.083766322923899\n",
-      "Fitted beta (wiothout intercept): [0.19569961 3.97898392]\n",
+      "Fitted beta (without intercept): [0.19569961 3.97898392]\n",
       "Sklearn intercept: 2.0837663229239043\n",
       "Sklearn fitted beta (without intercept): [0.19569961 3.97898392]\n",
       "MSE with Manual intercept\n",
@@ -640,7 +642,7 @@
     "intercept = np.mean(y_offset - X_offset @ beta)\n",
     "\n",
     "print(f\"Manual intercept: {intercept}\")\n",
-    "print(f\"Fitted beta (wiothout intercept): {beta}\")\n",
+    "print(f\"Fitted beta (without intercept): {beta}\")\n",
     "print(f\"Sklearn intercept: {skl.intercept_}\")\n",
     "print(f\"Sklearn fitted beta (without intercept): {skl.coef_}\")\n",
     "ypredictOwn = X @ beta\n",
@@ -660,7 +662,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96995260",
+   "id": "291ce957",
    "metadata": {
     "editable": true
    },
@@ -681,7 +683,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e02411ba",
+   "id": "c051ed4b",
    "metadata": {
     "editable": true
    },
@@ -693,7 +695,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd2082ec",
+   "id": "fe5619e0",
    "metadata": {
     "editable": true
    },
@@ -703,7 +705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "701e4d68",
+   "id": "c774a2da",
    "metadata": {
     "editable": true
    },
@@ -715,7 +717,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d89244c",
+   "id": "7ff02147",
    "metadata": {
     "editable": true
    },
@@ -725,7 +727,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "596c0314",
+   "id": "8fa5265e",
    "metadata": {
     "editable": true
    },
@@ -737,7 +739,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daf1b75f",
+   "id": "597a5084",
    "metadata": {
     "editable": true
    },
@@ -755,7 +757,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "94807025",
+   "id": "21c45264",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -940,7 +942,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c95fe0b",
+   "id": "c1da684b",
    "metadata": {
     "editable": true
    },
@@ -954,7 +956,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "bb5f871b",
+   "id": "e0559f64",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1174,7 +1176,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4724185f",
+   "id": "ec11139c",
    "metadata": {
     "editable": true
    },
@@ -1189,7 +1191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63a40c4b",
+   "id": "17620c10",
    "metadata": {
     "editable": true
    },
@@ -1215,7 +1217,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "44e30f6c",
+   "id": "9bc3430d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1320,7 +1322,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7614dd80",
+   "id": "3cb22033",
    "metadata": {
     "editable": true
    },
@@ -1330,7 +1332,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d0b865b",
+   "id": "6ac74a15",
    "metadata": {
     "editable": true
    },
@@ -1359,7 +1361,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b3043fb",
+   "id": "3f2a8c3a",
    "metadata": {
     "editable": true
    },
@@ -1375,7 +1377,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbfeab43",
+   "id": "4ba99485",
    "metadata": {
     "editable": true
    },
@@ -1394,7 +1396,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67514fcf",
+   "id": "d984cb84",
    "metadata": {
     "editable": true
    },
@@ -1408,7 +1410,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7557d7a",
+   "id": "3c1ddf74",
    "metadata": {
     "editable": true
    },
@@ -1420,7 +1422,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60f32679",
+   "id": "37485db6",
    "metadata": {
     "editable": true
    },
@@ -1431,7 +1433,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5268089",
+   "id": "1561bf6c",
    "metadata": {
     "editable": true
    },
@@ -1443,7 +1445,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d98108e",
+   "id": "c3485e3e",
    "metadata": {
     "editable": true
    },
@@ -1455,7 +1457,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6940b69c",
+   "id": "1a107c08",
    "metadata": {
     "editable": true
    },
@@ -1471,7 +1473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c9b9e98",
+   "id": "8c501537",
    "metadata": {
     "editable": true
    },
@@ -1482,7 +1484,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337a1fcc",
+   "id": "7ddca07f",
    "metadata": {
     "editable": true
    },
@@ -1505,7 +1507,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b179e200",
+   "id": "3096528c",
    "metadata": {
     "editable": true
    },
@@ -1516,7 +1518,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "189f6827",
+   "id": "349296ad",
    "metadata": {
     "editable": true
    },
@@ -1528,7 +1530,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d145d77b",
+   "id": "86d19218",
    "metadata": {
     "editable": true
    },
@@ -1540,7 +1542,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2c188e3",
+   "id": "5aba4205",
    "metadata": {
     "editable": true
    },
@@ -1554,7 +1556,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e4e08b3",
+   "id": "21e2d706",
    "metadata": {
     "editable": true
    },
@@ -1585,7 +1587,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5d610f9",
+   "id": "e7f65edd",
    "metadata": {
     "editable": true
    },
@@ -1607,7 +1609,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6bfa2a5",
+   "id": "e52e666e",
    "metadata": {
     "editable": true
    },
@@ -1619,7 +1621,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dff8f227",
+   "id": "35f12e56",
    "metadata": {
     "editable": true
    },
@@ -1632,7 +1634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08d29968",
+   "id": "7f26f798",
    "metadata": {
     "editable": true
    },
@@ -1644,7 +1646,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20600c78",
+   "id": "c8a78f99",
    "metadata": {
     "editable": true
    },
@@ -1656,7 +1658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ff509af",
+   "id": "ad8e843e",
    "metadata": {
     "editable": true
    },
@@ -1668,7 +1670,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf860be3",
+   "id": "534a8758",
    "metadata": {
     "editable": true
    },
@@ -1680,7 +1682,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ea27c12",
+   "id": "06e92c3e",
    "metadata": {
     "editable": true
    },
@@ -1703,7 +1705,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5548a408",
+   "id": "3b0536ad",
    "metadata": {
     "editable": true
    },
@@ -1715,7 +1717,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bdaa109",
+   "id": "e4ed95ed",
    "metadata": {
     "editable": true
    },
@@ -1728,7 +1730,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52d62b74",
+   "id": "bfc17c29",
    "metadata": {
     "editable": true
    },
@@ -1740,7 +1742,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb00279",
+   "id": "d92481fd",
    "metadata": {
     "editable": true
    },
@@ -1752,7 +1754,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26afb900",
+   "id": "ee3de12e",
    "metadata": {
     "editable": true
    },
@@ -1764,7 +1766,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da41b50e",
+   "id": "e94d68c8",
    "metadata": {
     "editable": true
    },
@@ -1775,7 +1777,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7719498b",
+   "id": "c463cf84",
    "metadata": {
     "editable": true
    },
@@ -1787,7 +1789,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f43bef91",
+   "id": "7787fd0d",
    "metadata": {
     "editable": true
    },
@@ -1798,7 +1800,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d8c9aff8",
+   "id": "3ac590b8",
    "metadata": {
     "editable": true
    },
@@ -1810,7 +1812,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdb01c2a",
+   "id": "4a51a588",
    "metadata": {
     "editable": true
    },
@@ -1820,7 +1822,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "679bc6f9",
+   "id": "1691757c",
    "metadata": {
     "editable": true
    },
@@ -1851,7 +1853,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde130e7",
+   "id": "8e2f5b79",
    "metadata": {
     "editable": true
    },
@@ -1863,7 +1865,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "feac486a",
+   "id": "3b28ec59",
    "metadata": {
     "editable": true
    },
@@ -1875,7 +1877,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad8049ca",
+   "id": "9766c677",
    "metadata": {
     "editable": true
    },
@@ -1885,7 +1887,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "14dd5b9e",
+   "id": "efd5b977",
    "metadata": {
     "editable": true
    },
@@ -1897,7 +1899,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f42fa20",
+   "id": "fb90dc2d",
    "metadata": {
     "editable": true
    },
@@ -1907,7 +1909,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0484474c",
+   "id": "cc0b3bc4",
    "metadata": {
     "editable": true
    },
@@ -1919,7 +1921,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6517f251",
+   "id": "bb3f22e3",
    "metadata": {
     "editable": true
    },
@@ -1929,7 +1931,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0238ae3e",
+   "id": "cc31120a",
    "metadata": {
     "editable": true
    },
@@ -1941,7 +1943,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f829d004",
+   "id": "3f3d5d71",
    "metadata": {
     "editable": true
    },
@@ -1951,7 +1953,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c68ecfe",
+   "id": "3e1b44bb",
    "metadata": {
     "editable": true
    },
@@ -1971,7 +1973,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0342e437",
+   "id": "c0111522",
    "metadata": {
     "editable": true
    },
@@ -1983,7 +1985,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab4bc57a",
+   "id": "99f7d382",
    "metadata": {
     "editable": true
    },
@@ -1993,7 +1995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a67bcf0c",
+   "id": "c24b7989",
    "metadata": {
     "editable": true
    },
@@ -2005,7 +2007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b549c11",
+   "id": "0e63a0ea",
    "metadata": {
     "editable": true
    },
@@ -2017,7 +2019,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b572a768",
+   "id": "d01f8997",
    "metadata": {
     "editable": true
    },
@@ -2029,7 +2031,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "438ce1e4",
+   "id": "d439bb3d",
    "metadata": {
     "editable": true
    },
@@ -2041,7 +2043,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85b16691",
+   "id": "45664795",
    "metadata": {
     "editable": true
    },
@@ -2053,7 +2055,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a01bf532",
+   "id": "2b7883ff",
    "metadata": {
     "editable": true
    },
@@ -2065,7 +2067,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba71fce0",
+   "id": "7b1b49c9",
    "metadata": {
     "editable": true
    },
@@ -2077,7 +2079,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e49e52c9",
+   "id": "9690a4ac",
    "metadata": {
     "editable": true
    },
@@ -2089,7 +2091,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fcae9855",
+   "id": "76e3a65e",
    "metadata": {
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@@ -2099,7 +2101,7 @@
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@@ -2111,7 +2113,7 @@
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@@ -2121,7 +2123,7 @@
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@@ -2140,7 +2142,7 @@
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@@ -2161,7 +2163,7 @@
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@@ -2173,7 +2175,7 @@
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@@ -2184,7 +2186,7 @@
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@@ -2197,7 +2199,7 @@
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@@ -2209,7 +2211,7 @@
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@@ -2219,7 +2221,7 @@
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@@ -2231,7 +2233,7 @@
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@@ -2241,7 +2243,7 @@
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@@ -2253,7 +2255,7 @@
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@@ -2263,7 +2265,7 @@
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@@ -2277,7 +2279,7 @@
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@@ -2289,7 +2291,7 @@
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@@ -2299,7 +2301,7 @@
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@@ -2311,7 +2313,7 @@
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@@ -2321,7 +2323,7 @@
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@@ -2333,7 +2335,7 @@
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@@ -2343,7 +2345,7 @@
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@@ -2355,7 +2357,7 @@
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@@ -2365,7 +2367,7 @@
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@@ -2381,7 +2383,7 @@
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@@ -2393,7 +2395,7 @@
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@@ -2403,7 +2405,7 @@
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@@ -2415,7 +2417,7 @@
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@@ -2428,7 +2430,7 @@
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@@ -2440,7 +2442,7 @@
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@@ -2450,7 +2452,7 @@
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@@ -2462,7 +2464,7 @@
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@@ -2472,7 +2474,7 @@
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@@ -2484,7 +2486,7 @@
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@@ -2496,7 +2498,7 @@
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@@ -2506,7 +2508,7 @@
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@@ -2518,7 +2520,7 @@
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@@ -2530,7 +2532,7 @@
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@@ -2542,7 +2544,7 @@
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@@ -2552,7 +2554,7 @@
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@@ -2564,7 +2566,7 @@
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@@ -2574,7 +2576,7 @@
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@@ -2586,7 +2588,7 @@
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@@ -2598,7 +2600,7 @@
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@@ -2610,7 +2612,7 @@
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@@ -2620,7 +2622,7 @@
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@@ -2632,7 +2634,7 @@
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@@ -2642,7 +2644,7 @@
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@@ -2659,7 +2661,7 @@
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@@ -2669,7 +2671,7 @@
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@@ -2681,7 +2683,7 @@
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@@ -2691,7 +2693,7 @@
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@@ -2703,7 +2705,7 @@
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@@ -2717,7 +2719,7 @@
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@@ -2729,7 +2731,7 @@
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@@ -2751,7 +2753,7 @@
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@@ -2763,7 +2765,7 @@
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@@ -2778,7 +2780,7 @@
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@@ -2790,7 +2792,7 @@
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@@ -2802,7 +2804,7 @@
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@@ -2812,7 +2814,7 @@
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@@ -2824,7 +2826,7 @@
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@@ -2834,7 +2836,7 @@
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@@ -2846,7 +2848,7 @@
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@@ -2856,7 +2858,7 @@
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@@ -2868,7 +2870,7 @@
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@@ -2885,7 +2887,7 @@
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@@ -2899,7 +2901,7 @@
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@@ -2926,7 +2928,7 @@
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@@ -2937,7 +2939,7 @@
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@@ -2977,7 +2979,7 @@
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@@ -2997,7 +2999,7 @@
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@@ -3009,7 +3011,7 @@
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@@ -3020,7 +3022,7 @@
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@@ -3054,7 +3056,7 @@
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@@ -3064,7 +3066,7 @@
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@@ -3077,7 +3079,7 @@
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@@ -3089,7 +3091,7 @@
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@@ -3099,7 +3101,7 @@
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@@ -3112,7 +3114,7 @@
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@@ -3122,7 +3124,7 @@
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@@ -3134,7 +3136,7 @@
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@@ -3149,7 +3151,7 @@
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@@ -3162,7 +3164,7 @@
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@@ -3176,7 +3178,7 @@
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@@ -3188,7 +3190,7 @@
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@@ -3198,7 +3200,7 @@
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@@ -3211,7 +3213,7 @@
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@@ -3223,7 +3225,7 @@
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@@ -3235,7 +3237,7 @@
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@@ -3247,7 +3249,7 @@
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@@ -3259,7 +3261,7 @@
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@@ -3273,7 +3275,7 @@
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@@ -3285,7 +3287,7 @@
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@@ -3295,7 +3297,7 @@
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@@ -3307,7 +3309,7 @@
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@@ -3317,7 +3319,7 @@
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@@ -3329,7 +3331,7 @@
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@@ -3341,7 +3343,7 @@
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@@ -3351,7 +3353,7 @@
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@@ -3362,7 +3364,7 @@
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@@ -3374,7 +3376,7 @@
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@@ -3390,7 +3392,7 @@
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   {
    "cell_type": "markdown",
-   "id": "98237c0b",
+   "id": "ada01eee",
    "metadata": {
     "editable": true
    },
@@ -3403,7 +3405,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9adbd131",
+   "id": "87379b28",
    "metadata": {
     "editable": true
    },
@@ -3415,7 +3417,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0fc7e75",
+   "id": "f14ab6f6",
    "metadata": {
     "editable": true
    },
@@ -3425,7 +3427,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "beeed609",
+   "id": "6ae95172",
    "metadata": {
     "editable": true
    },
@@ -3437,7 +3439,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1ec8688d",
+   "id": "63b0d549",
    "metadata": {
     "editable": true
    },
@@ -3447,7 +3449,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0e32455",
+   "id": "36d01c5f",
    "metadata": {
     "editable": true
    },
@@ -3459,7 +3461,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d418a099",
+   "id": "1dd9edd5",
    "metadata": {
     "editable": true
    },
@@ -3471,7 +3473,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8dd109b0",
+   "id": "890199e4",
    "metadata": {
     "editable": true
    },
@@ -3487,7 +3489,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "32acbbe9",
+   "id": "2b09c6db",
    "metadata": {
     "editable": true
    },
@@ -3499,7 +3501,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3bb2e7d3",
+   "id": "98c60b6b",
    "metadata": {
     "editable": true
    },
@@ -3511,7 +3513,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "92b9e986",
+   "id": "107fa6d1",
    "metadata": {
     "editable": true
    },
@@ -3521,7 +3523,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f66a3e7",
+   "id": "d5369928",
    "metadata": {
     "editable": true
    },
@@ -3533,7 +3535,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337d6138",
+   "id": "f7bf0b43",
    "metadata": {
     "editable": true
    },
@@ -3543,7 +3545,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "94020497",
+   "id": "9245fb55",
    "metadata": {
     "editable": true
    },
@@ -3555,7 +3557,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3c1f2724",
+   "id": "70a95d10",
    "metadata": {
     "editable": true
    },
@@ -3572,7 +3574,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f522846c",
+   "id": "150ab626",
    "metadata": {
     "editable": true
    },
@@ -3584,7 +3586,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f37b7397",
+   "id": "d23b7595",
    "metadata": {
     "editable": true
    },
@@ -3596,7 +3598,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38a6da03",
+   "id": "3a5c0df5",
    "metadata": {
     "editable": true
    },
@@ -3606,7 +3608,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b733ca2b",
+   "id": "86dbd4ca",
    "metadata": {
     "editable": true
    },
@@ -3618,7 +3620,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ca889f91",
+   "id": "020324b1",
    "metadata": {
     "editable": true
    },
@@ -3628,7 +3630,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d0e3071",
+   "id": "3f4bf2c6",
    "metadata": {
     "editable": true
    },
@@ -3640,7 +3642,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ad964aa",
+   "id": "ee5c365e",
    "metadata": {
     "editable": true
    },
@@ -3650,7 +3652,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52eb19d8",
+   "id": "ec165c89",
    "metadata": {
     "editable": true
    },
@@ -3662,7 +3664,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a34076ac",
+   "id": "1cb02d59",
    "metadata": {
     "editable": true
    },
@@ -3672,7 +3674,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "530c29ac",
+   "id": "2c370b21",
    "metadata": {
     "editable": true
    },
@@ -3687,7 +3689,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b8099a77",
+   "id": "95439dc3",
    "metadata": {
     "editable": true
    },
@@ -3699,7 +3701,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d4dfc8cc",
+   "id": "adb4b006",
    "metadata": {
     "editable": true
    },
@@ -3709,7 +3711,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf7253d4",
+   "id": "c9eee2d7",
    "metadata": {
     "editable": true
    },
@@ -3721,7 +3723,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c0b7c255",
+   "id": "94d48094",
    "metadata": {
     "editable": true
    },
@@ -3733,7 +3735,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2546602c",
+   "id": "94cae7a5",
    "metadata": {
     "editable": true
    },
@@ -3745,7 +3747,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c8b454a8",
+   "id": "689226d6",
    "metadata": {
     "editable": true
    },
@@ -3755,7 +3757,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1dffbcb",
+   "id": "638c940e",
    "metadata": {
     "editable": true
    },
@@ -3767,7 +3769,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "14db4fe1",
+   "id": "d4db6143",
    "metadata": {
     "editable": true
    },
@@ -3779,7 +3781,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5840fc8f",
+   "id": "21090e29",
    "metadata": {
     "editable": true
    },
@@ -3791,7 +3793,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a31c8b1",
+   "id": "14ce9d80",
    "metadata": {
     "editable": true
    },
@@ -3801,7 +3803,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "80f5ea6d",
+   "id": "05deeb16",
    "metadata": {
     "editable": true
    },
@@ -3813,7 +3815,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "529ee90c",
+   "id": "02e6d231",
    "metadata": {
     "editable": true
    },
@@ -3823,7 +3825,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d85cbf9e",
+   "id": "4ae5f511",
    "metadata": {
     "editable": true
    },
@@ -3837,7 +3839,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e92311d7",
+   "id": "04b5356b",
    "metadata": {
     "editable": true
    },
@@ -3847,7 +3849,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "187085eb",
+   "id": "f6058696",
    "metadata": {
     "editable": true
    },
@@ -3859,7 +3861,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0eb5679e",
+   "id": "fd7224ad",
    "metadata": {
     "editable": true
    },
@@ -3871,7 +3873,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3dd86b87",
+   "id": "9718107e",
    "metadata": {
     "editable": true
    },
@@ -3881,7 +3883,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b9d05ed2",
+   "id": "84d4f6f8",
    "metadata": {
     "editable": true
    },
@@ -3893,7 +3895,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "25c589cd",
+   "id": "cdacd328",
    "metadata": {
     "editable": true
    },
@@ -3903,7 +3905,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28186058",
+   "id": "2720a679",
    "metadata": {
     "editable": true
    },
@@ -3915,7 +3917,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8775423c",
+   "id": "cbfdf3c3",
    "metadata": {
     "editable": true
    },
@@ -3927,7 +3929,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9d8d70a",
+   "id": "510341f7",
    "metadata": {
     "editable": true
    },
@@ -3937,7 +3939,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e7e915b",
+   "id": "dd5b676f",
    "metadata": {
     "editable": true
    },
@@ -3949,7 +3951,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "131eedae",
+   "id": "9bfc451f",
    "metadata": {
     "editable": true
    },
@@ -3959,7 +3961,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "83550688",
+   "id": "63c13f99",
    "metadata": {
     "editable": true
    },
@@ -3971,7 +3973,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8942f0d0",
+   "id": "e3f87bfd",
    "metadata": {
     "editable": true
    },
@@ -3983,7 +3985,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ac252166",
+   "id": "e6e1e91a",
    "metadata": {
     "editable": true
    },
@@ -3993,7 +3995,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "21c99ee8",
+   "id": "557183ef",
    "metadata": {
     "editable": true
    },
@@ -4005,7 +4007,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "689ab283",
+   "id": "390e51d7",
    "metadata": {
     "editable": true
    },
@@ -4018,7 +4020,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a016164",
+   "id": "b54b06b4",
    "metadata": {
     "editable": true
    },
@@ -4030,7 +4032,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10278ba8",
+   "id": "7da149de",
    "metadata": {
     "editable": true
    },
@@ -4042,7 +4044,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ae54d916",
+   "id": "0bbd3f58",
    "metadata": {
     "editable": true
    },
@@ -4054,7 +4056,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b70fda3d",
+   "id": "c2f0aad9",
    "metadata": {
     "editable": true
    },
@@ -4064,7 +4066,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66e0f54b",
+   "id": "fa8ed1a0",
    "metadata": {
     "editable": true
    },
@@ -4076,7 +4078,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2d10e26",
+   "id": "e50fb0cc",
    "metadata": {
     "editable": true
    },
@@ -4086,7 +4088,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dce25955",
+   "id": "c698a54a",
    "metadata": {
     "editable": true
    },
@@ -4098,7 +4100,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28493542",
+   "id": "602f6914",
    "metadata": {
     "editable": true
    },
@@ -4108,7 +4110,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "442d0da6",
+   "id": "39842e84",
    "metadata": {
     "editable": true
    },
@@ -4120,7 +4122,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c7d85d08",
+   "id": "c104d1e6",
    "metadata": {
     "editable": true
    },
@@ -4130,7 +4132,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d944ea22",
+   "id": "45ee50f8",
    "metadata": {
     "editable": true
    },
@@ -4143,7 +4145,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b93efc0c",
+   "id": "3acea8be",
    "metadata": {
     "editable": true
    },
@@ -4155,7 +4157,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "418813a2",
+   "id": "05712174",
    "metadata": {
     "editable": true
    },
@@ -4167,7 +4169,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "486f3909",
+   "id": "d22badc2",
    "metadata": {
     "editable": true
    },
@@ -4177,7 +4179,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cf29a145",
+   "id": "16ef5fdd",
    "metadata": {
     "editable": true
    },
@@ -4189,7 +4191,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4e0a8c90",
+   "id": "3ab4fe20",
    "metadata": {
     "editable": true
    },
@@ -4206,7 +4208,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2cbf9b9",
+   "id": "cc1a051d",
    "metadata": {
     "editable": true
    },
@@ -4218,7 +4220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c820e33a",
+   "id": "3141a93e",
    "metadata": {
     "editable": true
    },
@@ -4230,7 +4232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2962087b",
+   "id": "a1235766",
    "metadata": {
     "editable": true
    },
@@ -4240,7 +4242,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "10230128",
+   "id": "4d8d1888",
    "metadata": {
     "editable": true
    },
@@ -4252,7 +4254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a7f4bdaa",
+   "id": "5b15d66a",
    "metadata": {
     "editable": true
    },
@@ -4262,7 +4264,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "658eb8ac",
+   "id": "bf79635f",
    "metadata": {
     "editable": true
    },
@@ -4274,7 +4276,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57ebdef8",
+   "id": "b0d0e8dd",
    "metadata": {
     "editable": true
    },
@@ -4284,7 +4286,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "030eb562",
+   "id": "73f5e4e8",
    "metadata": {
     "editable": true
    },
@@ -4296,7 +4298,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "954ff0c5",
+   "id": "9d86a2d4",
    "metadata": {
     "editable": true
    },
@@ -4306,7 +4308,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d489a2a",
+   "id": "a4439103",
    "metadata": {
     "editable": true
    },
@@ -4321,7 +4323,7 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "9e04847f",
+   "id": "3d93a407",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4381,7 +4383,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad6af984",
+   "id": "c0575e49",
    "metadata": {
     "editable": true
    },
@@ -4391,7 +4393,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26f1c1eb",
+   "id": "057e2229",
    "metadata": {
     "editable": true
    },
@@ -4402,7 +4404,7 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "6c6d1284",
+   "id": "be43dd02",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -4469,7 +4471,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee356a3b",
+   "id": "88dc1ccb",
    "metadata": {
     "editable": true
    },
@@ -4480,7 +4482,7 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "246b382a",
+   "id": "861be69b",
    "metadata": {
     "collapsed": false,
     "editable": true
diff --git a/doc/LectureNotes/_build/jupyter_execute/week36.py b/doc/LectureNotes/_build/jupyter_execute/week36.py
index f54bd4d63..6bd769808 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week36.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week36.py
@@ -3,9 +3,9 @@
 
 # <!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)
 # doconce format html week36.do.txt --no_mako -->
-# <!-- dom:TITLE: Week 36: Linear Rgeression and Statistical interpretations -->
+# <!-- dom:TITLE: Week 36: Linear Regression and Statistical interpretations -->
 
-# # Week 36: Linear Rgeression and Statistical interpretations
+# # Week 36: Linear Regression and Statistical interpretations
 # **Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University
 # 
 # Date: **September 2-6, 2024**
@@ -73,6 +73,8 @@
 # penalization of the parameters since their magnitude depends on the
 # scale of their corresponding predictor.
 # 
+# The **Scikit-Learn** site <https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section> has a good discussion of different ways of preprocessing data.
+# 
 # Suppose as an example that you 
 # you have an input variable given by the heights of different persons.
 # Human height might be measured in inches or meters or
@@ -292,7 +294,7 @@ beta = fit_beta(X - X_offset, y - y_offset)
 intercept = np.mean(y_offset - X_offset @ beta)
 
 print(f"Manual intercept: {intercept}")
-print(f"Fitted beta (wiothout intercept): {beta}")
+print(f"Fitted beta (without intercept): {beta}")
 print(f"Sklearn intercept: {skl.intercept_}")
 print(f"Sklearn fitted beta (without intercept): {skl.coef_}")
 ypredictOwn = X @ beta
diff --git a/doc/LectureNotes/week36.ipynb b/doc/LectureNotes/week36.ipynb
index 9d7c9b89a..54d22c2f8 100644
--- a/doc/LectureNotes/week36.ipynb
+++ b/doc/LectureNotes/week36.ipynb
@@ -2,24 +2,24 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "03b68af2",
+   "id": "9c0dc318",
    "metadata": {
     "editable": true
    },
    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week36.do.txt --no_mako -->\n",
-    "<!-- dom:TITLE: Week 36: Linear Rgeression and Statistical interpretations -->"
+    "<!-- dom:TITLE: Week 36: Linear Regression and Statistical interpretations -->"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "91ddfc70",
+   "id": "849ba8af",
    "metadata": {
     "editable": true
    },
    "source": [
-    "# Week 36: Linear Rgeression and Statistical interpretations\n",
+    "# Week 36: Linear Regression and Statistical interpretations\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University\n",
     "\n",
     "Date: **September 2-6, 2024**"
@@ -27,7 +27,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c25f7c42",
+   "id": "728b1450",
    "metadata": {
     "editable": true
    },
@@ -59,7 +59,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5230b8b",
+   "id": "fa824343",
    "metadata": {
     "editable": true
    },
@@ -69,7 +69,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbd9ed4d",
+   "id": "127a1d85",
    "metadata": {
     "editable": true
    },
@@ -111,6 +111,8 @@
     "penalization of the parameters since their magnitude depends on the\n",
     "scale of their corresponding predictor.\n",
     "\n",
+    "The **Scikit-Learn** site <https://scikit-learn.org/stable/auto_examples/preprocessing/plot_all_scaling.html#plot-all-scaling-standard-scaler-section> has a good discussion of different ways of preprocessing data.\n",
+    "\n",
     "Suppose as an example that you \n",
     "you have an input variable given by the heights of different persons.\n",
     "Human height might be measured in inches or meters or\n",
@@ -126,7 +128,7 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "a5ec261b",
+   "id": "c6ebacde",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -153,7 +155,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cc0694a",
+   "id": "fc178524",
    "metadata": {
     "editable": true
    },
@@ -167,7 +169,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e3b8bc0b",
+   "id": "59f7961a",
    "metadata": {
     "editable": true
    },
@@ -179,7 +181,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd6de781",
+   "id": "be28a0cf",
    "metadata": {
     "editable": true
    },
@@ -196,7 +198,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bfd7a040",
+   "id": "85a4c84d",
    "metadata": {
     "editable": true
    },
@@ -208,7 +210,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41e1b93b",
+   "id": "218f120f",
    "metadata": {
     "editable": true
    },
@@ -218,7 +220,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "24749eb9",
+   "id": "e348305f",
    "metadata": {
     "editable": true
    },
@@ -230,7 +232,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b922308a",
+   "id": "a6bf603c",
    "metadata": {
     "editable": true
    },
@@ -240,7 +242,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70be741b",
+   "id": "1323adc1",
    "metadata": {
     "editable": true
    },
@@ -252,7 +254,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b295f0ba",
+   "id": "79c494d0",
    "metadata": {
     "editable": true
    },
@@ -263,7 +265,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bb1e5813",
+   "id": "3c30949e",
    "metadata": {
     "editable": true
    },
@@ -275,7 +277,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "578817a0",
+   "id": "8faf8800",
    "metadata": {
     "editable": true
    },
@@ -285,7 +287,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "78bb7489",
+   "id": "6d811ffb",
    "metadata": {
     "editable": true
    },
@@ -297,7 +299,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "45cdf117",
+   "id": "bd68d409",
    "metadata": {
     "editable": true
    },
@@ -307,7 +309,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d671bea1",
+   "id": "de53612d",
    "metadata": {
     "editable": true
    },
@@ -319,7 +321,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1e037f7",
+   "id": "6ef74f9d",
    "metadata": {
     "editable": true
    },
@@ -329,7 +331,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5592094a",
+   "id": "77df1f8c",
    "metadata": {
     "editable": true
    },
@@ -341,7 +343,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3784e759",
+   "id": "36bb7a6b",
    "metadata": {
     "editable": true
    },
@@ -351,7 +353,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "238e4a7c",
+   "id": "a0eab738",
    "metadata": {
     "editable": true
    },
@@ -363,7 +365,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6d9e90e7",
+   "id": "47c6fc06",
    "metadata": {
     "editable": true
    },
@@ -373,7 +375,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ecc0ad6",
+   "id": "7af88710",
    "metadata": {
     "editable": true
    },
@@ -385,7 +387,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5bb35680",
+   "id": "0c5e0f39",
    "metadata": {
     "editable": true
    },
@@ -395,7 +397,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "748c35c7",
+   "id": "b711214e",
    "metadata": {
     "editable": true
    },
@@ -407,7 +409,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06776f59",
+   "id": "4dda1b9b",
    "metadata": {
     "editable": true
    },
@@ -417,7 +419,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d6d58ba",
+   "id": "06a3d0a4",
    "metadata": {
     "editable": true
    },
@@ -429,7 +431,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc9ff189",
+   "id": "29e6bed9",
    "metadata": {
     "editable": true
    },
@@ -441,7 +443,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc5996b6",
+   "id": "67fbd0e0",
    "metadata": {
     "editable": true
    },
@@ -453,7 +455,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "beac8256",
+   "id": "e957206a",
    "metadata": {
     "editable": true
    },
@@ -463,7 +465,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70ffda09",
+   "id": "b4c37288",
    "metadata": {
     "editable": true
    },
@@ -475,7 +477,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d6e0895",
+   "id": "2a9a5c4f",
    "metadata": {
     "editable": true
    },
@@ -488,7 +490,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b314aa68",
+   "id": "e50001bb",
    "metadata": {
     "editable": true
    },
@@ -500,7 +502,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9c4a4032",
+   "id": "5f53b969",
    "metadata": {
     "editable": true
    },
@@ -514,7 +516,7 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "7851af68",
+   "id": "f6f9927d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -593,7 +595,7 @@
     "intercept = np.mean(y_offset - X_offset @ beta)\n",
     "\n",
     "print(f\"Manual intercept: {intercept}\")\n",
-    "print(f\"Fitted beta (wiothout intercept): {beta}\")\n",
+    "print(f\"Fitted beta (without intercept): {beta}\")\n",
     "print(f\"Sklearn intercept: {skl.intercept_}\")\n",
     "print(f\"Sklearn fitted beta (without intercept): {skl.coef_}\")\n",
     "ypredictOwn = X @ beta\n",
@@ -613,7 +615,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "96995260",
+   "id": "291ce957",
    "metadata": {
     "editable": true
    },
@@ -634,7 +636,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e02411ba",
+   "id": "c051ed4b",
    "metadata": {
     "editable": true
    },
@@ -646,7 +648,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dd2082ec",
+   "id": "fe5619e0",
    "metadata": {
     "editable": true
    },
@@ -656,7 +658,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "701e4d68",
+   "id": "c774a2da",
    "metadata": {
     "editable": true
    },
@@ -668,7 +670,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d89244c",
+   "id": "7ff02147",
    "metadata": {
     "editable": true
    },
@@ -678,7 +680,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "596c0314",
+   "id": "8fa5265e",
    "metadata": {
     "editable": true
    },
@@ -690,7 +692,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "daf1b75f",
+   "id": "597a5084",
    "metadata": {
     "editable": true
    },
@@ -708,7 +710,7 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "94807025",
+   "id": "21c45264",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -784,7 +786,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1c95fe0b",
+   "id": "c1da684b",
    "metadata": {
     "editable": true
    },
@@ -798,7 +800,7 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "bb5f871b",
+   "id": "e0559f64",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -887,7 +889,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4724185f",
+   "id": "ec11139c",
    "metadata": {
     "editable": true
    },
@@ -902,7 +904,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63a40c4b",
+   "id": "17620c10",
    "metadata": {
     "editable": true
    },
@@ -928,7 +930,7 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "44e30f6c",
+   "id": "9bc3430d",
    "metadata": {
     "collapsed": false,
     "editable": true
@@ -1001,7 +1003,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7614dd80",
+   "id": "3cb22033",
    "metadata": {
     "editable": true
    },
@@ -1011,7 +1013,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8d0b865b",
+   "id": "6ac74a15",
    "metadata": {
     "editable": true
    },
@@ -1040,7 +1042,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7b3043fb",
+   "id": "3f2a8c3a",
    "metadata": {
     "editable": true
    },
@@ -1056,7 +1058,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cbfeab43",
+   "id": "4ba99485",
    "metadata": {
     "editable": true
    },
@@ -1075,7 +1077,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "67514fcf",
+   "id": "d984cb84",
    "metadata": {
     "editable": true
    },
@@ -1089,7 +1091,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f7557d7a",
+   "id": "3c1ddf74",
    "metadata": {
     "editable": true
    },
@@ -1101,7 +1103,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60f32679",
+   "id": "37485db6",
    "metadata": {
     "editable": true
    },
@@ -1112,7 +1114,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d5268089",
+   "id": "1561bf6c",
    "metadata": {
     "editable": true
    },
@@ -1124,7 +1126,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1d98108e",
+   "id": "c3485e3e",
    "metadata": {
     "editable": true
    },
@@ -1136,7 +1138,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6940b69c",
+   "id": "1a107c08",
    "metadata": {
     "editable": true
    },
@@ -1152,7 +1154,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c9b9e98",
+   "id": "8c501537",
    "metadata": {
     "editable": true
    },
@@ -1163,7 +1165,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "337a1fcc",
+   "id": "7ddca07f",
    "metadata": {
     "editable": true
    },
@@ -1186,7 +1188,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b179e200",
+   "id": "3096528c",
    "metadata": {
     "editable": true
    },
@@ -1197,7 +1199,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "189f6827",
+   "id": "349296ad",
    "metadata": {
     "editable": true
    },
@@ -1209,7 +1211,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d145d77b",
+   "id": "86d19218",
    "metadata": {
     "editable": true
    },
@@ -1221,7 +1223,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d2c188e3",
+   "id": "5aba4205",
    "metadata": {
     "editable": true
    },
@@ -1235,7 +1237,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e4e08b3",
+   "id": "21e2d706",
    "metadata": {
     "editable": true
    },
@@ -1266,7 +1268,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5d610f9",
+   "id": "e7f65edd",
    "metadata": {
     "editable": true
    },
@@ -1288,7 +1290,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6bfa2a5",
+   "id": "e52e666e",
    "metadata": {
     "editable": true
    },
@@ -1300,7 +1302,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dff8f227",
+   "id": "35f12e56",
    "metadata": {
     "editable": true
    },
@@ -1313,7 +1315,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "08d29968",
+   "id": "7f26f798",
    "metadata": {
     "editable": true
    },
@@ -1325,7 +1327,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "20600c78",
+   "id": "c8a78f99",
    "metadata": {
     "editable": true
    },
@@ -1337,7 +1339,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6ff509af",
+   "id": "ad8e843e",
    "metadata": {
     "editable": true
    },
@@ -1349,7 +1351,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bf860be3",
+   "id": "534a8758",
    "metadata": {
     "editable": true
    },
@@ -1361,7 +1363,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9ea27c12",
+   "id": "06e92c3e",
    "metadata": {
     "editable": true
    },
@@ -1384,7 +1386,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5548a408",
+   "id": "3b0536ad",
    "metadata": {
     "editable": true
    },
@@ -1396,7 +1398,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4bdaa109",
+   "id": "e4ed95ed",
    "metadata": {
     "editable": true
    },
@@ -1409,7 +1411,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52d62b74",
+   "id": "bfc17c29",
    "metadata": {
     "editable": true
    },
@@ -1421,7 +1423,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9cb00279",
+   "id": "d92481fd",
    "metadata": {
     "editable": true
    },
@@ -1433,7 +1435,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "26afb900",
+   "id": "ee3de12e",
    "metadata": {
     "editable": true
    },
@@ -1445,7 +1447,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "da41b50e",
+   "id": "e94d68c8",
    "metadata": {
     "editable": true
    },
@@ -1456,7 +1458,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7719498b",
+   "id": "c463cf84",
    "metadata": {
     "editable": true
    },
@@ -1468,7 +1470,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f43bef91",
+   "id": "7787fd0d",
    "metadata": {
     "editable": true
    },
@@ -1479,7 +1481,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d8c9aff8",
+   "id": "3ac590b8",
    "metadata": {
     "editable": true
    },
@@ -1491,7 +1493,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bdb01c2a",
+   "id": "4a51a588",
    "metadata": {
     "editable": true
    },
@@ -1501,7 +1503,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "679bc6f9",
+   "id": "1691757c",
    "metadata": {
     "editable": true
    },
@@ -1532,7 +1534,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde130e7",
+   "id": "8e2f5b79",
    "metadata": {
     "editable": true
    },
@@ -1544,7 +1546,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "feac486a",
+   "id": "3b28ec59",
    "metadata": {
     "editable": true
    },
@@ -1556,7 +1558,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ad8049ca",
+   "id": "9766c677",
    "metadata": {
     "editable": true
    },
@@ -1566,7 +1568,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "14dd5b9e",
+   "id": "efd5b977",
    "metadata": {
     "editable": true
    },
@@ -1578,7 +1580,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f42fa20",
+   "id": "fb90dc2d",
    "metadata": {
     "editable": true
    },
@@ -1588,7 +1590,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0484474c",
+   "id": "cc0b3bc4",
    "metadata": {
     "editable": true
    },
@@ -1600,7 +1602,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6517f251",
+   "id": "bb3f22e3",
    "metadata": {
     "editable": true
    },
@@ -1610,7 +1612,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0238ae3e",
+   "id": "cc31120a",
    "metadata": {
     "editable": true
    },
@@ -1622,7 +1624,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f829d004",
+   "id": "3f3d5d71",
    "metadata": {
     "editable": true
    },
@@ -1632,7 +1634,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6c68ecfe",
+   "id": "3e1b44bb",
    "metadata": {
     "editable": true
    },
@@ -1652,7 +1654,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0342e437",
+   "id": "c0111522",
    "metadata": {
     "editable": true
    },
@@ -1664,7 +1666,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ab4bc57a",
+   "id": "99f7d382",
    "metadata": {
     "editable": true
    },
@@ -1674,7 +1676,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a67bcf0c",
+   "id": "c24b7989",
    "metadata": {
     "editable": true
    },
@@ -1686,7 +1688,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b549c11",
+   "id": "0e63a0ea",
    "metadata": {
     "editable": true
    },
@@ -1698,7 +1700,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b572a768",
+   "id": "d01f8997",
    "metadata": {
     "editable": true
    },
@@ -1710,7 +1712,7 @@
   },
   {
    "cell_type": "markdown",
-   "id": "438ce1e4",
+   "id": "d439bb3d",
    "metadata": {
     "editable": true
    },
@@ -1722,7 +1724,7 @@
   },
   {
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@@ -1734,7 +1736,7 @@
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@@ -1746,7 +1748,7 @@
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@@ -1758,7 +1760,7 @@
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@@ -1770,7 +1772,7 @@
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@@ -1780,7 +1782,7 @@
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@@ -1792,7 +1794,7 @@
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@@ -1802,7 +1804,7 @@
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@@ -1821,7 +1823,7 @@
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@@ -1842,7 +1844,7 @@
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@@ -1854,7 +1856,7 @@
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@@ -1865,7 +1867,7 @@
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@@ -1878,7 +1880,7 @@
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@@ -1890,7 +1892,7 @@
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@@ -1900,7 +1902,7 @@
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@@ -1912,7 +1914,7 @@
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@@ -1922,7 +1924,7 @@
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@@ -1934,7 +1936,7 @@
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@@ -1944,7 +1946,7 @@
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@@ -1958,7 +1960,7 @@
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@@ -1970,7 +1972,7 @@
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@@ -1980,7 +1982,7 @@
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@@ -1992,7 +1994,7 @@
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@@ -2002,7 +2004,7 @@
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@@ -2014,7 +2016,7 @@
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@@ -2024,7 +2026,7 @@
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@@ -2036,7 +2038,7 @@
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@@ -2046,7 +2048,7 @@
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@@ -2062,7 +2064,7 @@
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@@ -2074,7 +2076,7 @@
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@@ -2084,7 +2086,7 @@
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@@ -2096,7 +2098,7 @@
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@@ -2109,7 +2111,7 @@
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@@ -2121,7 +2123,7 @@
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@@ -2131,7 +2133,7 @@
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@@ -2143,7 +2145,7 @@
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@@ -2153,7 +2155,7 @@
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@@ -2165,7 +2167,7 @@
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@@ -2177,7 +2179,7 @@
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@@ -2187,7 +2189,7 @@
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@@ -2199,7 +2201,7 @@
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@@ -2211,7 +2213,7 @@
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@@ -2223,7 +2225,7 @@
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@@ -2233,7 +2235,7 @@
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@@ -2245,7 +2247,7 @@
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@@ -2255,7 +2257,7 @@
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@@ -2267,7 +2269,7 @@
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@@ -2279,7 +2281,7 @@
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@@ -2291,7 +2293,7 @@
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@@ -2301,7 +2303,7 @@
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@@ -2313,7 +2315,7 @@
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@@ -2323,7 +2325,7 @@
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@@ -2340,7 +2342,7 @@
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@@ -2350,7 +2352,7 @@
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@@ -2362,7 +2364,7 @@
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@@ -2372,7 +2374,7 @@
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@@ -2384,7 +2386,7 @@
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@@ -2398,7 +2400,7 @@
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@@ -2410,7 +2412,7 @@
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@@ -2432,7 +2434,7 @@
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@@ -2444,7 +2446,7 @@
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@@ -2459,7 +2461,7 @@
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@@ -2471,7 +2473,7 @@
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@@ -2483,7 +2485,7 @@
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@@ -2493,7 +2495,7 @@
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@@ -2505,7 +2507,7 @@
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@@ -2515,7 +2517,7 @@
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@@ -2527,7 +2529,7 @@
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@@ -2537,7 +2539,7 @@
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@@ -2549,7 +2551,7 @@
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@@ -2566,7 +2568,7 @@
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@@ -2580,7 +2582,7 @@
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@@ -2594,7 +2596,7 @@
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@@ -2605,7 +2607,7 @@
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@@ -2645,7 +2647,7 @@
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@@ -2665,7 +2667,7 @@
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@@ -2677,7 +2679,7 @@
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@@ -2688,7 +2690,7 @@
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@@ -2722,7 +2724,7 @@
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@@ -2732,7 +2734,7 @@
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@@ -2745,7 +2747,7 @@
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@@ -2757,7 +2759,7 @@
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@@ -2767,7 +2769,7 @@
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@@ -2780,7 +2782,7 @@
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@@ -2790,7 +2792,7 @@
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@@ -2802,7 +2804,7 @@
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@@ -2817,7 +2819,7 @@
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@@ -2830,7 +2832,7 @@
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@@ -2844,7 +2846,7 @@
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@@ -2856,7 +2858,7 @@
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@@ -2866,7 +2868,7 @@
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@@ -2879,7 +2881,7 @@
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@@ -2891,7 +2893,7 @@
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@@ -2903,7 +2905,7 @@
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@@ -2915,7 +2917,7 @@
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@@ -2927,7 +2929,7 @@
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@@ -2941,7 +2943,7 @@
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@@ -2953,7 +2955,7 @@
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@@ -2963,7 +2965,7 @@
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@@ -2975,7 +2977,7 @@
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@@ -2985,7 +2987,7 @@
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@@ -2997,7 +2999,7 @@
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@@ -3009,7 +3011,7 @@
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@@ -3019,7 +3021,7 @@
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@@ -3030,7 +3032,7 @@
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@@ -3042,7 +3044,7 @@
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@@ -3058,7 +3060,7 @@
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@@ -3071,7 +3073,7 @@
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@@ -3083,7 +3085,7 @@
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@@ -3093,7 +3095,7 @@
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@@ -3105,7 +3107,7 @@
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@@ -3115,7 +3117,7 @@
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@@ -3127,7 +3129,7 @@
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@@ -3139,7 +3141,7 @@
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@@ -3155,7 +3157,7 @@
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@@ -3167,7 +3169,7 @@
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@@ -3179,7 +3181,7 @@
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@@ -3189,7 +3191,7 @@
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@@ -3201,7 +3203,7 @@
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@@ -3211,7 +3213,7 @@
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@@ -3223,7 +3225,7 @@
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@@ -3240,7 +3242,7 @@
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@@ -3252,7 +3254,7 @@
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@@ -3264,7 +3266,7 @@
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@@ -3274,7 +3276,7 @@
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@@ -3286,7 +3288,7 @@
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@@ -3296,7 +3298,7 @@
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@@ -3308,7 +3310,7 @@
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@@ -3318,7 +3320,7 @@
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@@ -3330,7 +3332,7 @@
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@@ -3340,7 +3342,7 @@
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@@ -3355,7 +3357,7 @@
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@@ -3367,7 +3369,7 @@
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@@ -3377,7 +3379,7 @@
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@@ -3389,7 +3391,7 @@
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@@ -3401,7 +3403,7 @@
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@@ -3413,7 +3415,7 @@
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@@ -3423,7 +3425,7 @@
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@@ -3435,7 +3437,7 @@
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@@ -3447,7 +3449,7 @@
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@@ -3459,7 +3461,7 @@
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@@ -3469,7 +3471,7 @@
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@@ -3481,7 +3483,7 @@
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@@ -3491,7 +3493,7 @@
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@@ -3505,7 +3507,7 @@
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@@ -3515,7 +3517,7 @@
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@@ -3527,7 +3529,7 @@
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@@ -3539,7 +3541,7 @@
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@@ -3549,7 +3551,7 @@
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@@ -3561,7 +3563,7 @@
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@@ -3571,7 +3573,7 @@
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@@ -3583,7 +3585,7 @@
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@@ -3595,7 +3597,7 @@
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@@ -3605,7 +3607,7 @@
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@@ -3617,7 +3619,7 @@
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@@ -3627,7 +3629,7 @@
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@@ -3639,7 +3641,7 @@
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@@ -3651,7 +3653,7 @@
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@@ -3661,7 +3663,7 @@
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@@ -3673,7 +3675,7 @@
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@@ -3686,7 +3688,7 @@
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@@ -3698,7 +3700,7 @@
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@@ -3710,7 +3712,7 @@
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@@ -3722,7 +3724,7 @@
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@@ -3732,7 +3734,7 @@
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@@ -3744,7 +3746,7 @@
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@@ -3754,7 +3756,7 @@
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@@ -3766,7 +3768,7 @@
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@@ -3776,7 +3778,7 @@
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@@ -3788,7 +3790,7 @@
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@@ -3798,7 +3800,7 @@
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@@ -3811,7 +3813,7 @@
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@@ -3823,7 +3825,7 @@
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@@ -3835,7 +3837,7 @@
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@@ -3845,7 +3847,7 @@
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@@ -3857,7 +3859,7 @@
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@@ -3874,7 +3876,7 @@
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@@ -3886,7 +3888,7 @@
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@@ -3898,7 +3900,7 @@
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@@ -3908,7 +3910,7 @@
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@@ -3920,7 +3922,7 @@
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@@ -3930,7 +3932,7 @@
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@@ -3942,7 +3944,7 @@
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@@ -3952,7 +3954,7 @@
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@@ -3964,7 +3966,7 @@
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@@ -3974,7 +3976,7 @@
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@@ -3989,7 +3991,7 @@
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@@ -4049,7 +4051,7 @@
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@@ -4059,7 +4061,7 @@
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@@ -4070,7 +4072,7 @@
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@@ -4137,7 +4139,7 @@
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@@ -4148,7 +4150,7 @@
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