<?xml version="1.0"?>
<feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en">
	<id>https://charlesreid1.com/w/index.php?action=history&amp;feed=atom&amp;title=Template%3AResponse_Surface_Explanation</id>
	<title>Template:Response Surface Explanation - Revision history</title>
	<link rel="self" type="application/atom+xml" href="https://charlesreid1.com/w/index.php?action=history&amp;feed=atom&amp;title=Template%3AResponse_Surface_Explanation"/>
	<link rel="alternate" type="text/html" href="https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;action=history"/>
	<updated>2026-06-20T17:32:06Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.39.12</generator>
	<entry>
		<id>https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3061&amp;oldid=prev</id>
		<title>Admin at 21:47, 13 July 2011</title>
		<link rel="alternate" type="text/html" href="https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3061&amp;oldid=prev"/>
		<updated>2011-07-13T21:47:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:47, 13 July 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l21&quot;&gt;Line 21:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 21:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;br/&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;See the Matlab &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; help page for more information: http://www.mathworks.com/help/toolbox/stats/regstats.html&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;See the Matlab &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; help page for more information: http://www.mathworks.com/help/toolbox/stats/regstats.html&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-side-deleted&quot;&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;Example of how to use this information to compute the value of a response surface is here: [[EvaluateResponseSurface.m]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
	<entry>
		<id>https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3059&amp;oldid=prev</id>
		<title>Admin: moved Template:Resopnse Surface Explanation to Template:Response Surface Explanation</title>
		<link rel="alternate" type="text/html" href="https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3059&amp;oldid=prev"/>
		<updated>2011-07-13T21:43:44Z</updated>

		<summary type="html">&lt;p&gt;moved &lt;a href=&quot;/w/index.php?title=Template:Resopnse_Surface_Explanation&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;Template:Resopnse Surface Explanation (page does not exist)&quot;&gt;Template:Resopnse Surface Explanation&lt;/a&gt; to &lt;a href=&quot;/wiki/Template:Response_Surface_Explanation&quot; title=&quot;Template:Response Surface Explanation&quot;&gt;Template:Response Surface Explanation&lt;/a&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:43, 13 July 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en&quot;&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
	<entry>
		<id>https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3058&amp;oldid=prev</id>
		<title>Admin at 21:43, 13 July 2011</title>
		<link rel="alternate" type="text/html" href="https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3058&amp;oldid=prev"/>
		<updated>2011-07-13T21:43:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table style=&quot;background-color: #fff; color: #202122;&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 21:43, 13 July 2011&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l15&quot;&gt;Line 15:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 15:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;lt;code&amp;gt;response_surface&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* &amp;lt;code&amp;gt;response_surface&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** cell object that results from Matlab&amp;#039;s &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; function&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** cell object that results from Matlab&amp;#039;s &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; function&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;−&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** polynomial coefficients corresponding to each row of &amp;lt;&lt;del style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;math&lt;/del&gt;&amp;gt;model&amp;lt;/code&amp;gt; object are contained in &amp;lt;code&amp;gt;response_surface.beta&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot; data-marker=&quot;+&quot;&gt;&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** polynomial coefficients corresponding to each row of &amp;lt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;code&lt;/ins&gt;&amp;gt;model&amp;lt;/code&amp;gt; object are contained in &amp;lt;code&amp;gt;response_surface.beta&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** covariance matrix is stored in &amp;lt;code&amp;gt;response_surface.covb&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** covariance matrix is stored in &amp;lt;code&amp;gt;response_surface.covb&amp;lt;/code&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** R-squared and adjusted R-squared values stored in &amp;lt;code&amp;gt;response_surface.rsquare&amp;lt;/code&amp;gt; and &amp;lt;code&amp;gt;response_surface.adjrsquare&amp;lt;/code&amp;gt;, respectively&lt;/div&gt;&lt;/td&gt;&lt;td class=&quot;diff-marker&quot;&gt;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;** R-squared and adjusted R-squared values stored in &amp;lt;code&amp;gt;response_surface.rsquare&amp;lt;/code&amp;gt; and &amp;lt;code&amp;gt;response_surface.adjrsquare&amp;lt;/code&amp;gt;, respectively&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
	<entry>
		<id>https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3057&amp;oldid=prev</id>
		<title>Admin: Created page with &quot;Once you download the .mat file associated with a response surface, you will see two variables:  * &lt;code&gt;model&lt;/code&gt; ** matrix of size &lt;math&gt;N_{vars} \times N_{polynomial terms}...&quot;</title>
		<link rel="alternate" type="text/html" href="https://charlesreid1.com/w/index.php?title=Template:Response_Surface_Explanation&amp;diff=3057&amp;oldid=prev"/>
		<updated>2011-07-13T21:42:54Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;Once you download the .mat file associated with a response surface, you will see two variables:  * &amp;lt;code&amp;gt;model&amp;lt;/code&amp;gt; ** matrix of size &amp;lt;math&amp;gt;N_{vars} \times N_{polynomial terms}...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;Once you download the .mat file associated with a response surface, you will see two variables:&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;code&amp;gt;model&amp;lt;/code&amp;gt;&lt;br /&gt;
** matrix of size &amp;lt;math&amp;gt;N_{vars} \times N_{polynomial terms}&amp;lt;/math&amp;gt;&lt;br /&gt;
** number of columns is equal to the number of input variables &amp;lt;math&amp;gt;N_{vars}&amp;lt;/math&amp;gt;&lt;br /&gt;
** number of rows is equal to the number of terms in the polynomial response surface &amp;lt;math&amp;gt;N_{polynomial terms}&amp;lt;/math&amp;gt;&lt;br /&gt;
** variable order is as follows:&lt;br /&gt;
*** Mass flowrate &amp;lt;math&amp;gt;\dot{m}&amp;lt;/math&amp;gt;&lt;br /&gt;
*** Reaction rate &amp;lt;math&amp;gt;k(T)&amp;lt;/math&amp;gt;&lt;br /&gt;
*** Mixing length &amp;lt;math&amp;gt;L_{mix}&amp;lt;/math&amp;gt;&lt;br /&gt;
*** Measurement location 1 &amp;lt;math&amp;gt;z_1&amp;lt;/math&amp;gt;&lt;br /&gt;
*** Measurement location 2 &amp;lt;math&amp;gt;z_2&amp;lt;/math&amp;gt;&lt;br /&gt;
*** Measurement location 3 &amp;lt;math&amp;gt;z_3&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
* &amp;lt;code&amp;gt;response_surface&amp;lt;/code&amp;gt;&lt;br /&gt;
** cell object that results from Matlab&amp;#039;s &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; function&lt;br /&gt;
** polynomial coefficients corresponding to each row of &amp;lt;math&amp;gt;model&amp;lt;/code&amp;gt; object are contained in &amp;lt;code&amp;gt;response_surface.beta&amp;lt;/code&amp;gt;&lt;br /&gt;
** covariance matrix is stored in &amp;lt;code&amp;gt;response_surface.covb&amp;lt;/code&amp;gt;&lt;br /&gt;
** R-squared and adjusted R-squared values stored in &amp;lt;code&amp;gt;response_surface.rsquare&amp;lt;/code&amp;gt; and &amp;lt;code&amp;gt;response_surface.adjrsquare&amp;lt;/code&amp;gt;, respectively&lt;br /&gt;
** mean square error is contained in &amp;lt;code&amp;gt;response_surface.mse&amp;lt;/code&amp;gt;&lt;br /&gt;
&lt;br /&gt;
See the Matlab &amp;lt;code&amp;gt;regstats()&amp;lt;/code&amp;gt; help page for more information: http://www.mathworks.com/help/toolbox/stats/regstats.html&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
	</entry>
</feed>