From 253c003a3a40d7f2c18106ae99e4698ee3edeb0c Mon Sep 17 00:00:00 2001 From: Morten Hjorth-Jensen Date: Mon, 21 Aug 2023 10:31:37 +0200 Subject: [PATCH] update --- doc/pub/week34/html/._week34-bs000.html | 7 +- doc/pub/week34/html/._week34-bs001.html | 7 +- doc/pub/week34/html/._week34-bs002.html | 7 +- doc/pub/week34/html/._week34-bs003.html | 7 +- doc/pub/week34/html/._week34-bs004.html | 7 +- doc/pub/week34/html/._week34-bs005.html | 7 +- doc/pub/week34/html/._week34-bs006.html | 7 +- doc/pub/week34/html/._week34-bs007.html | 7 +- doc/pub/week34/html/._week34-bs008.html | 7 +- doc/pub/week34/html/._week34-bs009.html | 7 +- doc/pub/week34/html/._week34-bs010.html | 7 +- doc/pub/week34/html/._week34-bs011.html | 7 +- doc/pub/week34/html/._week34-bs012.html | 7 +- doc/pub/week34/html/._week34-bs013.html | 7 +- doc/pub/week34/html/._week34-bs014.html | 7 +- doc/pub/week34/html/._week34-bs015.html | 7 +- doc/pub/week34/html/._week34-bs016.html | 7 +- doc/pub/week34/html/._week34-bs017.html | 7 +- doc/pub/week34/html/._week34-bs018.html | 7 +- doc/pub/week34/html/._week34-bs019.html | 7 +- doc/pub/week34/html/._week34-bs020.html | 7 +- doc/pub/week34/html/._week34-bs021.html | 7 +- doc/pub/week34/html/._week34-bs022.html | 7 +- doc/pub/week34/html/._week34-bs023.html | 7 +- doc/pub/week34/html/._week34-bs024.html | 7 +- doc/pub/week34/html/._week34-bs025.html | 7 +- doc/pub/week34/html/._week34-bs026.html | 7 +- doc/pub/week34/html/._week34-bs027.html | 7 +- doc/pub/week34/html/._week34-bs028.html | 7 +- doc/pub/week34/html/._week34-bs029.html | 7 +- doc/pub/week34/html/._week34-bs030.html | 7 +- doc/pub/week34/html/._week34-bs031.html | 7 +- doc/pub/week34/html/._week34-bs032.html | 7 +- doc/pub/week34/html/._week34-bs033.html | 7 +- doc/pub/week34/html/._week34-bs034.html | 7 +- doc/pub/week34/html/._week34-bs035.html | 7 +- doc/pub/week34/html/._week34-bs036.html | 7 +- doc/pub/week34/html/._week34-bs037.html | 7 +- doc/pub/week34/html/._week34-bs038.html | 7 +- doc/pub/week34/html/._week34-bs039.html | 15 +- doc/pub/week34/html/._week34-bs040.html | 9 +- doc/pub/week34/html/._week34-bs041.html | 7 +- doc/pub/week34/html/._week34-bs042.html | 11 +- doc/pub/week34/html/._week34-bs043.html | 7 +- doc/pub/week34/html/._week34-bs044.html | 7 +- doc/pub/week34/html/._week34-bs045.html | 7 +- doc/pub/week34/html/._week34-bs046.html | 7 +- doc/pub/week34/html/._week34-bs047.html | 7 +- doc/pub/week34/html/._week34-bs048.html | 7 +- doc/pub/week34/html/._week34-bs049.html | 7 +- doc/pub/week34/html/._week34-bs050.html | 7 +- doc/pub/week34/html/._week34-bs051.html | 7 +- doc/pub/week34/html/._week34-bs052.html | 7 +- doc/pub/week34/html/._week34-bs053.html | 7 +- doc/pub/week34/html/._week34-bs054.html | 7 +- doc/pub/week34/html/._week34-bs055.html | 7 +- doc/pub/week34/html/._week34-bs056.html | 7 +- doc/pub/week34/html/._week34-bs057.html | 7 +- doc/pub/week34/html/._week34-bs058.html | 7 +- doc/pub/week34/html/._week34-bs059.html | 7 +- doc/pub/week34/html/._week34-bs060.html | 7 +- doc/pub/week34/html/._week34-bs061.html | 7 +- doc/pub/week34/html/._week34-bs062.html | 7 +- doc/pub/week34/html/._week34-bs063.html | 7 +- doc/pub/week34/html/._week34-bs064.html | 7 +- doc/pub/week34/html/._week34-bs065.html | 7 +- doc/pub/week34/html/week34-bs.html | 7 +- doc/pub/week34/html/week34-reveal.html | 14 +- doc/pub/week34/html/week34-solarized.html | 19 +- doc/pub/week34/html/week34.html | 19 +- doc/pub/week34/ipynb/ipynb-week34-src.tar.gz | Bin 103516 -> 103516 bytes doc/pub/week34/ipynb/week34.ipynb | 616 +++++++++---------- doc/src/week34/week34.do.txt | 14 +- 73 files changed, 686 insertions(+), 479 deletions(-) diff --git a/doc/pub/week34/html/._week34-bs000.html b/doc/pub/week34/html/._week34-bs000.html index 83e610fa4..5e45317fe 100644 --- a/doc/pub/week34/html/._week34-bs000.html +++ b/doc/pub/week34/html/._week34-bs000.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs001.html b/doc/pub/week34/html/._week34-bs001.html index 0f4121b44..52c47cf64 100644 --- a/doc/pub/week34/html/._week34-bs001.html +++ b/doc/pub/week34/html/._week34-bs001.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs002.html b/doc/pub/week34/html/._week34-bs002.html index 7270a1651..f75cea93b 100644 --- a/doc/pub/week34/html/._week34-bs002.html +++ b/doc/pub/week34/html/._week34-bs002.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs003.html b/doc/pub/week34/html/._week34-bs003.html index a58e5141f..ff7fc989e 100644 --- a/doc/pub/week34/html/._week34-bs003.html +++ b/doc/pub/week34/html/._week34-bs003.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs004.html b/doc/pub/week34/html/._week34-bs004.html index e6950a789..b4302bb91 100644 --- a/doc/pub/week34/html/._week34-bs004.html +++ b/doc/pub/week34/html/._week34-bs004.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs005.html b/doc/pub/week34/html/._week34-bs005.html index b48f5f92b..16487de26 100644 --- a/doc/pub/week34/html/._week34-bs005.html +++ b/doc/pub/week34/html/._week34-bs005.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs006.html b/doc/pub/week34/html/._week34-bs006.html index 0ab126db0..2857adc5f 100644 --- a/doc/pub/week34/html/._week34-bs006.html +++ b/doc/pub/week34/html/._week34-bs006.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs007.html b/doc/pub/week34/html/._week34-bs007.html index c535a8011..9911a0851 100644 --- a/doc/pub/week34/html/._week34-bs007.html +++ b/doc/pub/week34/html/._week34-bs007.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs008.html b/doc/pub/week34/html/._week34-bs008.html index 751b05f92..3633945c2 100644 --- a/doc/pub/week34/html/._week34-bs008.html +++ b/doc/pub/week34/html/._week34-bs008.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs009.html b/doc/pub/week34/html/._week34-bs009.html index 0d2306fde..59fdc5176 100644 --- a/doc/pub/week34/html/._week34-bs009.html +++ b/doc/pub/week34/html/._week34-bs009.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs010.html b/doc/pub/week34/html/._week34-bs010.html index 01a4b077c..74682f336 100644 --- a/doc/pub/week34/html/._week34-bs010.html +++ b/doc/pub/week34/html/._week34-bs010.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs011.html b/doc/pub/week34/html/._week34-bs011.html index 0cdd880c9..b9bdc7fe7 100644 --- a/doc/pub/week34/html/._week34-bs011.html +++ b/doc/pub/week34/html/._week34-bs011.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs012.html b/doc/pub/week34/html/._week34-bs012.html index 24d62d6f9..40cf59d7d 100644 --- a/doc/pub/week34/html/._week34-bs012.html +++ b/doc/pub/week34/html/._week34-bs012.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs013.html b/doc/pub/week34/html/._week34-bs013.html index 57ec948f6..856c836e8 100644 --- a/doc/pub/week34/html/._week34-bs013.html +++ b/doc/pub/week34/html/._week34-bs013.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs014.html b/doc/pub/week34/html/._week34-bs014.html index d9b0c15d9..9cc241490 100644 --- a/doc/pub/week34/html/._week34-bs014.html +++ b/doc/pub/week34/html/._week34-bs014.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs015.html b/doc/pub/week34/html/._week34-bs015.html index e6f009094..0156764a5 100644 --- a/doc/pub/week34/html/._week34-bs015.html +++ b/doc/pub/week34/html/._week34-bs015.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs016.html b/doc/pub/week34/html/._week34-bs016.html index 070176437..ba5f98d1d 100644 --- a/doc/pub/week34/html/._week34-bs016.html +++ b/doc/pub/week34/html/._week34-bs016.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs017.html b/doc/pub/week34/html/._week34-bs017.html index 8625ec940..8dba9550b 100644 --- a/doc/pub/week34/html/._week34-bs017.html +++ b/doc/pub/week34/html/._week34-bs017.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs018.html b/doc/pub/week34/html/._week34-bs018.html index 7ad83bb86..073fb4961 100644 --- a/doc/pub/week34/html/._week34-bs018.html +++ b/doc/pub/week34/html/._week34-bs018.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs019.html b/doc/pub/week34/html/._week34-bs019.html index 5f182811b..b10b590eb 100644 --- a/doc/pub/week34/html/._week34-bs019.html +++ b/doc/pub/week34/html/._week34-bs019.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs020.html b/doc/pub/week34/html/._week34-bs020.html index 9733ac191..d2f9a0689 100644 --- a/doc/pub/week34/html/._week34-bs020.html +++ b/doc/pub/week34/html/._week34-bs020.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs021.html b/doc/pub/week34/html/._week34-bs021.html index 2cd51d0c8..7ec834ecc 100644 --- a/doc/pub/week34/html/._week34-bs021.html +++ b/doc/pub/week34/html/._week34-bs021.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs022.html b/doc/pub/week34/html/._week34-bs022.html index d9cbad12d..f7d3ed769 100644 --- a/doc/pub/week34/html/._week34-bs022.html +++ b/doc/pub/week34/html/._week34-bs022.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs023.html b/doc/pub/week34/html/._week34-bs023.html index 8bb2f2a80..be8eedd90 100644 --- a/doc/pub/week34/html/._week34-bs023.html +++ b/doc/pub/week34/html/._week34-bs023.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs024.html b/doc/pub/week34/html/._week34-bs024.html index ad14f8258..5b74d9c08 100644 --- a/doc/pub/week34/html/._week34-bs024.html +++ b/doc/pub/week34/html/._week34-bs024.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs025.html b/doc/pub/week34/html/._week34-bs025.html index 63bf5041e..016f51e49 100644 --- a/doc/pub/week34/html/._week34-bs025.html +++ b/doc/pub/week34/html/._week34-bs025.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs026.html b/doc/pub/week34/html/._week34-bs026.html index f3a663a4b..8c7ca05ea 100644 --- a/doc/pub/week34/html/._week34-bs026.html +++ b/doc/pub/week34/html/._week34-bs026.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs027.html b/doc/pub/week34/html/._week34-bs027.html index 0fc539baa..a6559edd8 100644 --- a/doc/pub/week34/html/._week34-bs027.html +++ b/doc/pub/week34/html/._week34-bs027.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs028.html b/doc/pub/week34/html/._week34-bs028.html index 7fc1a8d05..734085e7d 100644 --- a/doc/pub/week34/html/._week34-bs028.html +++ b/doc/pub/week34/html/._week34-bs028.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs029.html b/doc/pub/week34/html/._week34-bs029.html index 7acff8940..4e10962c3 100644 --- a/doc/pub/week34/html/._week34-bs029.html +++ b/doc/pub/week34/html/._week34-bs029.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs030.html b/doc/pub/week34/html/._week34-bs030.html index 7d01f1f7e..11b24ae28 100644 --- a/doc/pub/week34/html/._week34-bs030.html +++ b/doc/pub/week34/html/._week34-bs030.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs031.html b/doc/pub/week34/html/._week34-bs031.html index e2b7fb596..f1d324054 100644 --- a/doc/pub/week34/html/._week34-bs031.html +++ b/doc/pub/week34/html/._week34-bs031.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs032.html b/doc/pub/week34/html/._week34-bs032.html index 9a305b115..1dc46afb7 100644 --- a/doc/pub/week34/html/._week34-bs032.html +++ b/doc/pub/week34/html/._week34-bs032.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs033.html b/doc/pub/week34/html/._week34-bs033.html index 05b491aec..81ba49725 100644 --- a/doc/pub/week34/html/._week34-bs033.html +++ b/doc/pub/week34/html/._week34-bs033.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs034.html b/doc/pub/week34/html/._week34-bs034.html index 358b5475c..6a4d3cdc3 100644 --- a/doc/pub/week34/html/._week34-bs034.html +++ b/doc/pub/week34/html/._week34-bs034.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs035.html b/doc/pub/week34/html/._week34-bs035.html index 55e7bc158..d410cba05 100644 --- a/doc/pub/week34/html/._week34-bs035.html +++ b/doc/pub/week34/html/._week34-bs035.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs036.html b/doc/pub/week34/html/._week34-bs036.html index 46610641d..5a7faeeb4 100644 --- a/doc/pub/week34/html/._week34-bs036.html +++ b/doc/pub/week34/html/._week34-bs036.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs037.html b/doc/pub/week34/html/._week34-bs037.html index 1f97b002b..84585dc81 100644 --- a/doc/pub/week34/html/._week34-bs037.html +++ b/doc/pub/week34/html/._week34-bs037.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs038.html b/doc/pub/week34/html/._week34-bs038.html index ebc90f04c..766628779 100644 --- a/doc/pub/week34/html/._week34-bs038.html +++ b/doc/pub/week34/html/._week34-bs038.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs039.html b/doc/pub/week34/html/._week34-bs039.html index f71436581..9e0aaeb66 100644 --- a/doc/pub/week34/html/._week34-bs039.html +++ b/doc/pub/week34/html/._week34-bs039.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • @@ -360,16 +363,16 @@ MathJax.Hub.Config({

    Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \). -The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable. +The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the inputs.

    -

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    +

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    -

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    +

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    diff --git a/doc/pub/week34/html/._week34-bs040.html b/doc/pub/week34/html/._week34-bs040.html index ac6bf4af6..409f7c936 100644 --- a/doc/pub/week34/html/._week34-bs040.html +++ b/doc/pub/week34/html/._week34-bs040.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • @@ -359,7 +362,7 @@ MathJax.Hub.Config({
    -

    Consider an experiment in which \( p \) characteristics of \( n \) samples are +

    Consider an experiment in which \( p \) characteristics/features of \( n \) samples are measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix \( \mathbf{X} \).

    diff --git a/doc/pub/week34/html/._week34-bs041.html b/doc/pub/week34/html/._week34-bs041.html index 53f3de582..2fba55f2c 100644 --- a/doc/pub/week34/html/._week34-bs041.html +++ b/doc/pub/week34/html/._week34-bs041.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs042.html b/doc/pub/week34/html/._week34-bs042.html index 66f133264..60d3d1b1d 100644 --- a/doc/pub/week34/html/._week34-bs042.html +++ b/doc/pub/week34/html/._week34-bs042.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • @@ -354,11 +357,11 @@ MathJax.Hub.Config({

     

     

     

    -

    General linear models

    +

    General linear models and linear algebra

    -

    Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    +

    Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is

    $$ diff --git a/doc/pub/week34/html/._week34-bs043.html b/doc/pub/week34/html/._week34-bs043.html index 8c533ee7a..0e8acfbab 100644 --- a/doc/pub/week34/html/._week34-bs043.html +++ b/doc/pub/week34/html/._week34-bs043.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs044.html b/doc/pub/week34/html/._week34-bs044.html index d8e97ba6f..b02b394d7 100644 --- a/doc/pub/week34/html/._week34-bs044.html +++ b/doc/pub/week34/html/._week34-bs044.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs045.html b/doc/pub/week34/html/._week34-bs045.html index c77f1c683..7630dccc0 100644 --- a/doc/pub/week34/html/._week34-bs045.html +++ b/doc/pub/week34/html/._week34-bs045.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs046.html b/doc/pub/week34/html/._week34-bs046.html index 4d1bd43c4..e78dfcf57 100644 --- a/doc/pub/week34/html/._week34-bs046.html +++ b/doc/pub/week34/html/._week34-bs046.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs047.html b/doc/pub/week34/html/._week34-bs047.html index 2c15615b0..3f3ea2aa2 100644 --- a/doc/pub/week34/html/._week34-bs047.html +++ b/doc/pub/week34/html/._week34-bs047.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs048.html b/doc/pub/week34/html/._week34-bs048.html index c28c357da..c931e3ee4 100644 --- a/doc/pub/week34/html/._week34-bs048.html +++ b/doc/pub/week34/html/._week34-bs048.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs049.html b/doc/pub/week34/html/._week34-bs049.html index 2e8b0658f..57b7f685d 100644 --- a/doc/pub/week34/html/._week34-bs049.html +++ b/doc/pub/week34/html/._week34-bs049.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs050.html b/doc/pub/week34/html/._week34-bs050.html index a5829594b..9a441a0d6 100644 --- a/doc/pub/week34/html/._week34-bs050.html +++ b/doc/pub/week34/html/._week34-bs050.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs051.html b/doc/pub/week34/html/._week34-bs051.html index 8f972d4a0..c2c3c3add 100644 --- a/doc/pub/week34/html/._week34-bs051.html +++ b/doc/pub/week34/html/._week34-bs051.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs052.html b/doc/pub/week34/html/._week34-bs052.html index 1c2443a10..1230e4f06 100644 --- a/doc/pub/week34/html/._week34-bs052.html +++ b/doc/pub/week34/html/._week34-bs052.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs053.html b/doc/pub/week34/html/._week34-bs053.html index 094fad2f1..42b54d4ba 100644 --- a/doc/pub/week34/html/._week34-bs053.html +++ b/doc/pub/week34/html/._week34-bs053.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs054.html b/doc/pub/week34/html/._week34-bs054.html index e6b02fd4c..617c9ec9d 100644 --- a/doc/pub/week34/html/._week34-bs054.html +++ b/doc/pub/week34/html/._week34-bs054.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs055.html b/doc/pub/week34/html/._week34-bs055.html index 44110608a..f35ca737a 100644 --- a/doc/pub/week34/html/._week34-bs055.html +++ b/doc/pub/week34/html/._week34-bs055.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs056.html b/doc/pub/week34/html/._week34-bs056.html index 5220de9dd..f11b65c17 100644 --- a/doc/pub/week34/html/._week34-bs056.html +++ b/doc/pub/week34/html/._week34-bs056.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs057.html b/doc/pub/week34/html/._week34-bs057.html index 3bfccb700..73a310eab 100644 --- a/doc/pub/week34/html/._week34-bs057.html +++ b/doc/pub/week34/html/._week34-bs057.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs058.html b/doc/pub/week34/html/._week34-bs058.html index 1336488e2..0ea2cc973 100644 --- a/doc/pub/week34/html/._week34-bs058.html +++ b/doc/pub/week34/html/._week34-bs058.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs059.html b/doc/pub/week34/html/._week34-bs059.html index 80699dd70..90ebc3382 100644 --- a/doc/pub/week34/html/._week34-bs059.html +++ b/doc/pub/week34/html/._week34-bs059.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs060.html b/doc/pub/week34/html/._week34-bs060.html index 867762f9f..fa9f53290 100644 --- a/doc/pub/week34/html/._week34-bs060.html +++ b/doc/pub/week34/html/._week34-bs060.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs061.html b/doc/pub/week34/html/._week34-bs061.html index 3be83d29f..8e2e264b0 100644 --- a/doc/pub/week34/html/._week34-bs061.html +++ b/doc/pub/week34/html/._week34-bs061.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs062.html b/doc/pub/week34/html/._week34-bs062.html index ab0d7df55..93191889b 100644 --- a/doc/pub/week34/html/._week34-bs062.html +++ b/doc/pub/week34/html/._week34-bs062.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs063.html b/doc/pub/week34/html/._week34-bs063.html index b0b0e32a9..b9e95e337 100644 --- a/doc/pub/week34/html/._week34-bs063.html +++ b/doc/pub/week34/html/._week34-bs063.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs064.html b/doc/pub/week34/html/._week34-bs064.html index 8c9a03dc0..d3c3ac4f8 100644 --- a/doc/pub/week34/html/._week34-bs064.html +++ b/doc/pub/week34/html/._week34-bs064.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/._week34-bs065.html b/doc/pub/week34/html/._week34-bs065.html index 0395109d7..b83754d2b 100644 --- a/doc/pub/week34/html/._week34-bs065.html +++ b/doc/pub/week34/html/._week34-bs065.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/week34-bs.html b/doc/pub/week34/html/week34-bs.html index 83e610fa4..5e45317fe 100644 --- a/doc/pub/week34/html/week34-bs.html +++ b/doc/pub/week34/html/week34-bs.html @@ -155,7 +155,10 @@ doconce format html week34.do.txt --html_style=bootstrap --pygments_html_style=d None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -316,7 +319,7 @@ MathJax.Hub.Config({
  • Regression analysis, overarching aims
  • Regression analysis, overarching aims II
  • Examples
    • -
  • General linear models
    • +
  • General linear models and linear algebra
  • Rewriting the fitting procedure as a linear algebra problem
  • Rewriting the fitting procedure as a linear algebra problem, more details
  • Generalizing the fitting procedure as a linear algebra problem
    • diff --git a/doc/pub/week34/html/week34-reveal.html b/doc/pub/week34/html/week34-reveal.html index f6a08fdc4..d559efad5 100644 --- a/doc/pub/week34/html/week34-reveal.html +++ b/doc/pub/week34/html/week34-reveal.html @@ -2591,17 +2591,17 @@ Similarly, Mehta et a

    Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \). -The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable. +The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the inputs.

    -

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    +

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    • \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)

    • Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)
      • -

    • \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.
      • +

    • \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.

    -

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    +

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    @@ -2611,7 +2611,7 @@ The first variable is called the dependent, the outcome or the

    -

    Consider an experiment in which \( p \) characteristics of \( n \) samples are +

    Consider an experiment in which \( p \) characteristics/features of \( n \) samples are measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix \( \mathbf{X} \).

    @@ -2663,11 +2663,11 @@ so-called     General linear models +

    General linear models and linear algebra

    -

    Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    +

    Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is

     
    diff --git a/doc/pub/week34/html/week34-solarized.html b/doc/pub/week34/html/week34-solarized.html index 55c7c83d6..426fedb11 100644 --- a/doc/pub/week34/html/week34-solarized.html +++ b/doc/pub/week34/html/week34-solarized.html @@ -182,7 +182,10 @@ div.toc p,a { None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -2570,16 +2573,16 @@ Similarly,     Mehta et a

    Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \). -The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable. +The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the inputs.

    -

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    +

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    • \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)
    • Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)
      • -
    • \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.
      • +
    • \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.
    -

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    +

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    @@ -2589,7 +2592,7 @@ The first variable is called the dependent, the outcome or the

    -

    Consider an experiment in which \( p \) characteristics of \( n \) samples are +

    Consider an experiment in which \( p \) characteristics/features of \( n \) samples are measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix \( \mathbf{X} \).

    @@ -2639,11 +2642,11 @@ so-called     General linear models +

    General linear models and linear algebra

    -

    Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    +

    Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is

    $$ diff --git a/doc/pub/week34/html/week34.html b/doc/pub/week34/html/week34.html index f343b6147..03e53dfdc 100644 --- a/doc/pub/week34/html/week34.html +++ b/doc/pub/week34/html/week34.html @@ -259,7 +259,10 @@ div.toc p,a { None, 'regression-analysis-overarching-aims-ii'), ('Examples', 2, None, 'examples'), - ('General linear models', 2, None, 'general-linear-models'), + ('General linear models and linear algebra', + 2, + None, + 'general-linear-models-and-linear-algebra'), ('Rewriting the fitting procedure as a linear algebra problem', 2, None, @@ -2647,16 +2650,16 @@ Similarly,     Mehta et a

    Regression modeling deals with the description of the sampling distribution of a given random variable \( y \) and how it varies as function of another variable or a set of such variables \( \boldsymbol{x} =[x_0, x_1,\dots, x_{n-1}]^T \). -The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable. +The first variable is called the dependent, the outcome or the response variable while the set of variables \( \boldsymbol{x} \) is called the independent variable, or the predictor variable or the explanatory variable, or simply just the inputs.

    -

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    +

    A regression model aims at finding a likelihood function \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) or in the more traditional sense a function \( \boldsymbol{y}(\boldsymbol{x}) \), that is the conditional distribution for \( \boldsymbol{y} \) with a given \( \boldsymbol{x} \). The estimation of \( p(\boldsymbol{y}\vert \boldsymbol{x}) \) is made using a data set with

    • \( n \) cases \( i = 0, 1, 2, \dots, n-1 \)
    • Response (target, dependent or outcome) variable \( y_i \) with \( i = 0, 1, 2, \dots, n-1 \)
      • -
    • \( p \) so-called explanatory (independent or predictor) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.
      • +
    • \( p \) so-called explanatory (independent or predictor or feature) variables \( \boldsymbol{x}_i=[x_{i0}, x_{i1}, \dots, x_{ip-1}] \) with \( i = 0, 1, 2, \dots, n-1 \) and explanatory variables running from \( 0 \) to \( p-1 \). See below for more explicit examples.
    -

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in or to infer causal dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    +

    The goal of the regression analysis is to extract/exploit relationship between \( \boldsymbol{y} \) and \( \boldsymbol{x} \) in order to infer specific dependencies, approximations to the likelihood functions, functional relationships and to make predictions, making fits and many other things.

    @@ -2666,7 +2669,7 @@ The first variable is called the dependent, the outcome or the

    -

    Consider an experiment in which \( p \) characteristics of \( n \) samples are +

    Consider an experiment in which \( p \) characteristics/features of \( n \) samples are measured. The data from this experiment, for various explanatory variables \( p \) are normally represented by a matrix \( \mathbf{X} \).

    @@ -2716,11 +2719,11 @@ so-called     General linear models +

    General linear models and linear algebra

    -

    Before we proceed let us study a case from linear algebra where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    +

    Before we proceed let us study a case where we aim at fitting a set of data \( \boldsymbol{y}=[y_0,y_1,\dots,y_{n-1}] \). We could think of these data as a result of an experiment or a complicated numerical experiment. These data are functions of a series of variables \( \boldsymbol{x}=[x_0,x_1,\dots,x_{n-1}] \), that is \( y_i = y(x_i) \) with \( i=0,1,2,\dots,n-1 \). The variables \( x_i \) could represent physical quantities like time, temperature, position etc. We assume that \( y(x) \) is a smooth function.

    Since obtaining these data points may not be trivial, we want to use these data to fit a function which can allow us to make predictions for values of \( y \) which are not in the present set. The perhaps simplest approach is to assume we can parametrize our function in terms of a polynomial of degree \( n-1 \) with \( n \) points, that is

    $$ diff --git a/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz b/doc/pub/week34/ipynb/ipynb-week34-src.tar.gz index d4fa5e8dddc54cad30c8da29479181169f857740..8ee339b287430771baaaaba64b4dbbefbae59080 100644 GIT binary patch delta 20 ccmcb!g6+-