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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="id27386926">
<name>What is R-Squared?</name>
<metadata>
  <md:version>1.1</md:version>
  <md:created>2006/02/22 00:14:22.539 US/Central</md:created>
  <md:revised>2006/02/22 06:41:21.608 US/Central</md:revised>
  <md:authorlist>
      <md:author id="kolobl">
      <md:firstname>Lekulana</md:firstname>
      <md:othername>Emmanuel</md:othername>
      <md:surname>Kolobe</md:surname>
      <md:email>klekulana@hotmail.com</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist>
    <md:maintainer id="kolobl">
      <md:firstname>Lekulana</md:firstname>
      <md:othername>Emmanuel</md:othername>
      <md:surname>Kolobe</md:surname>
      <md:email>klekulana@hotmail.com</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist>
    <md:keyword>R-Squared</md:keyword>
    <md:keyword>Regression Line</md:keyword>
  </md:keywordlist>

  <md:abstract>This module briefly introduces r-squared. It also gives an example and an   exercise.</md:abstract>
</metadata>
<content>
<para id="id27480875"><term>R squared</term> is a statistical measure of how well
a regression line approximates real data points [
<link src="http://www.chartfilter.com/glossary/r11.htm">
DefR-Squared</link>]. <term>R squared</term> is a descriptive measure between
zero and one, indicating how good one term is at predicting another
[
<link src="http://www.trade-ideas.com/Glossary/R-Squared.html">
R-SquaredDef</link>].</para>
<example id="element-149"><para id="element-347">
		If you have a model, the closer its R squared value is to one, the greater the ability of that model to predict a trend. A value of R squared equal to one, which only occurs in fairy tales and textbook exercises, would imply that your model provides perfect predictions.
	</para>
</example><exercise id="element-538"><problem>
		<para id="element-408">
			Can R squared be used to indicate the strength of a relationship?
		</para>
	</problem>

	<solution>
		<para id="element-391">
			Yes.
		</para>
<para id="element-392">
R squared can be used as an indicator of the reliability of a relationship identified by regression analysis. An R squared of 0.8 indicates that 80% of the change in one variable is explained by a change in the related variable.
</para>
	</solution>
</exercise><para id="id22728358"><term>References:</term></para>
<list type="bulleted" id="id27435513"><item>DefR-Squared. “<emphasis>Definition R-squared</emphasis>”. Accessed on February
22, 2006. At 
<link src="http://www.chartfilter.com/glossary/r11.htm">
http://www.chartfilter.com/glossary/r11.htm</link></item>
<item>R-SquaredDef. “<emphasis>Definition of R-Squared</emphasis>”. Accessed on February
22, 2006. At 
<link src="http://www.trade-ideas.com/Glossary/R-Squared.html">
http://www.trade-ideas.com/Glossary/R-Squared.html</link></item>
<item>Author of Assignment 3: Lekulana Kolobe</item>
<item>Author of Assignment 1: Arnold Mwesigye</item>
</list>
</content>
</document>
