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<name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">What is an Independent Variable?</name>
<metadata xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
  <md:version xmlns:bib="http://bibtexml.sf.net/">1.1</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2006/02/21 10:30:39.467 US/Central</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2006/02/22 06:58:03.860 US/Central</md:revised>
  <md:authorlist xmlns:bib="http://bibtexml.sf.net/">
      <md:author xmlns:bib="http://bibtexml.sf.net/" id="kolobl">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Lekulana</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">Emmanuel</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Kolobe</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">klekulana@hotmail.com</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist xmlns:bib="http://bibtexml.sf.net/">
    <md:maintainer xmlns:bib="http://bibtexml.sf.net/" id="kolobl">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Lekulana</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">Emmanuel</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Kolobe</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">klekulana@hotmail.com</md:email>
    </md:maintainer>
  </md:maintainerlist>
  
  <md:keywordlist xmlns:bib="http://bibtexml.sf.net/">
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">Dependent Variable</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">Independent Variable</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">This module introduces an independent variable, gives example of such variables and an exercise.</md:abstract>
</metadata>
<content xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="id9919240">An <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">independent variable</term> is that variable which
is presumed to affect or determine a <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://cnx.rice.edu/content/m13446/latest">dependent variable</link>. It can be
changed as required, and its values do not represent a problem
requiring explanation in an analysis, but are taken simply as
given [<link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://en.wikipedia.org/wiki/Independent_variable">Wikipedia2006I</link>].</para>
<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="id4226339">More generally, the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">independent variable</term> is the
thing that someone actively changes; while the <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://cnx.rice.edu/content/m13446/latest">dependent variable</link>
is the thing that changes as a result.</para>
<example xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-459"><para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-978">The wages of an employee depend on the time worked. Time is the independent variable that varies among employees, and the wages are calculated directly from the total time worked. Thus wages are dependent on time worked. [taken from <link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://en.wikipedia.org/wiki/Independent_variable">Wikipedia2006I</link>]
	</para>
<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-979">
In a call centre, the number of customers serviced per hour, depends on the number of agents, and average service time per customer. In this case number of customers is a dependent variable, entirely dependent on the other two independent variables namely agents, and average service time. 
</para>
</example><exercise xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-97"><problem xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-264">
			What is an independent variable in the following function? Briefly explain your choice.
		</para>
<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-265">
Y = 3X + Z - 5 
</para>
</problem>

	<solution xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="element-433">There are two independent variables namely X, and Z. This is because their values can change  freely regardless of the value of X, and that change is going to affect X as a result.
		</para>
	</solution>
</exercise><para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="id30373186"><term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">References:</term></para>
<list xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="bulleted" id="id30353019"><item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Wikipedia2006I. "<emphasis xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Independent Variable</emphasis>,"  
<link xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" src="http://en.wikipedia.org/wiki/Regression_analysis">
http://en.wikipedia.org/wiki/Independent_variable</link>, Last
Accessed on 20 February 2006</item>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Author of Assignment 3: Lekulana Kolobe</item>
<item xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Author of Assignment 1: Arnold Mwesigye</item>
</list>
</content>
</document>
