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<?xml version="1.0" encoding="UTF-8"?>
<helpdocument version="1.0">
<!--
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* the License at http://www.apache.org/licenses/LICENSE-2.0 .
-->
<meta>
<topic id="regressiontopic" indexer="include" status="PUBLISH">
<title id="tit" xml-lang="en-US">Regression Analysis</title>
<filename>/text/scalc/01/statistics_regression.xhp</filename>
</topic>
</meta>
<body>
<bookmark xml-lang="en-US" branch="index" id="bm_id2764278">
<bookmark_value>Analysis toolpack;regression analysis</bookmark_value>
<bookmark_value>regression analysis;Analysis toolpack</bookmark_value>
<bookmark_value>Data statistics;regression analysis</bookmark_value>
</bookmark>
<bookmark xml-lang="en-US" branch="hid/modules/scalc/ui/regressiondialog/RegressionDialog" id="bm_id2745673" localize="false"/>
<bookmark xml-lang="en-US" branch="hid/modules/scalc/ui/regressiondialog/@@nowidget@@" id="bm_id2745673" localize="false"/>
<section id="regression">
<h1 id="hd_id1701201615033510"><variable id="regressionanalysish1"><link href="text/scalc/01/statistics_regression.xhp" name="regression analysis">Regression Analysis</link></variable></h1>
<paragraph id="par_id1001240" role="paragraph" xml-lang="en-US"><ahelp hid="modules/scalc/ui/regressiondialog/RegressionDialog">Produces the regression analysis of a data set</ahelp></paragraph>
</section>
<section id="howtoget">
<paragraph id="par_id1000040" role="paragraph" xml-lang="en-US"><variable id="sam01">Choose <menuitem>Data - Statistics - Regression</menuitem></variable></paragraph>
</section>
<paragraph id="par_id1001270" role="note" xml-lang="en-US">For more information on regression analysis, refer to the <link href="https://en.wikipedia.org/wiki/Regression_analysis" name="English Wikipedia: Regression analysis">corresponding Wikipedia article</link>.</paragraph>
<embed href="text/scalc/01/stat_data.xhp#data"/>
<embed href="text/scalc/01/stat_data.xhp#grouped"/>
<h2 id="hd_id1000070">Output Regression Type</h2>
<paragraph id="par_id1001280" role="paragraph" xml-lang="en-US">Set the regression type. Three types are available: </paragraph>
<list type="unordered">
<listitem>
<paragraph id="par_id1701201620334364" role="ul_item" xml-lang="en-US"><emph>Linear Regression</emph>: find a straight line in the form of <item type="literal">y = a.x + b</item>, where <item type="literal">a</item> is the slope and <item type="literal">b</item> is the intercept that best fits the data.</paragraph>
</listitem>
<listitem>
<paragraph id="par_id1701201620340168" role="ul_item" xml-lang="en-US"><emph>Logarithmic regression</emph>: find a logarithmic curve in the form of <item type="literal">y = a.ln(x) + b</item>, where <item type="literal">a</item> is the slope, <item type="literal">b</item> is the intercept and <item type="literal">ln(x)</item> is the natural logarithm of <item type="literal">x</item>, that best fits the data.</paragraph>
</listitem>
<listitem>
<paragraph id="par_id1701201620340139" role="ul_item" xml-lang="en-US"><emph>Power regression</emph>: Find a power curve in the form of <item type="literal">y = a.x^b</item>, where <item type="literal">a</item> is the coefficient, <item type="literal">b</item> is the power that best fits the data.</paragraph>
</listitem></list>
<embed href="text/scalc/01/stat_data.xhp#regressiondata"/>
<paragraph id="par_id1001310" role="paragraph" xml-lang="en-US">The results of the three types of <emph>regression analysis</emph> of the measurements in the table above are shown below.</paragraph>
<table id="Tabela1">
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090526" role="tablehead" xml-lang="en-US">Regression</paragraph>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090542" role="paragraph" xml-lang="en-US">Regression Model</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1701201618090596" role="paragraph" xml-lang="en-US">Linear</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1701201618090586" role="paragraph" xml-lang="en-US">Logarithmic</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1701201618090555" role="paragraph" xml-lang="en-US">Power</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090553" role="paragraph" xml-lang="en-US">R^2</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114385" role="paragraph" localize="false" xml-lang="en-US">0.1243901235</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114339" role="paragraph" localize="false" xml-lang="en-US">0.036283506</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114321" role="paragraph" localize="false" xml-lang="en-US">0.0884254697</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090595" role="paragraph" xml-lang="en-US">Standard Error</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114322" role="paragraph" localize="false" xml-lang="en-US">1.8692568609</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114330" role="paragraph" localize="false" xml-lang="en-US">1.9610483597</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114373" role="paragraph" localize="false" xml-lang="en-US">0.7746321053</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090563" role="paragraph" xml-lang="en-US">Slope</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id19012061511466" role="paragraph" localize="false" xml-lang="en-US">-0.2193939394</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114648" role="paragraph" localize="false" xml-lang="en-US">-0.4894112008</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114619" role="paragraph" localize="false" xml-lang="en-US">4.812672931</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
<paragraph id="par_id1701201618090642" role="paragraph" xml-lang="en-US">Intercept</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114679" role="paragraph" localize="false" xml-lang="en-US">4.8666666667</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id190120165114664" role="paragraph" localize="false" xml-lang="en-US">4.3992268695</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id190101615114697" role="paragraph" localize="false" xml-lang="en-US">-0.3103085297</paragraph>
</tablecell>
</tablerow>
<tablerow>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
<tablecell>
</tablecell>
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<paragraph id="par_id190120161511461" role="paragraph" localize="false" xml-lang="en-US">1</paragraph>
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<tablecell>
<paragraph id="par_id1901201615114631" role="paragraph" localize="false" xml-lang="en-US">4.6472727273</paragraph>
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<tablecell>
<paragraph id="par_id1901201615114663" role="paragraph" localize="false" xml-lang="en-US">4.3992268695</paragraph>
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<tablecell>
<paragraph id="par_id19012016151142" role="paragraph" localize="false" xml-lang="en-US">4.812672931</paragraph>
</tablecell>
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<tablecell>
<paragraph id="par_id1901201615114687" role="paragraph" localize="false" xml-lang="en-US">2</paragraph>
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<paragraph id="par_id1901201615114677" role="paragraph" localize="false" xml-lang="en-US">4.4278787879</paragraph>
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<tablecell>
<paragraph id="par_id1901201615114693" role="paragraph" localize="false" xml-lang="en-US">4.0599928755</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114630" role="paragraph" localize="false" xml-lang="en-US">3.8812728356</paragraph>
</tablecell>
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<tablerow>
<tablecell>
<paragraph id="par_id1901201615114697" role="paragraph" localize="false" xml-lang="en-US">3</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114659" role="paragraph" localize="false" xml-lang="en-US">4.2084848485</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114671" role="paragraph" localize="false" xml-lang="en-US">3.8615537101</paragraph>
</tablecell>
<tablecell>
<paragraph id="par_id1901201615114664" role="paragraph" localize="false" xml-lang="en-US">3.4224061924</paragraph>
</tablecell>
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<paragraph id="par_id190120161511463" role="paragraph" localize="false" xml-lang="en-US">4</paragraph>
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<paragraph id="par_id1901201615114792" role="paragraph" localize="false" xml-lang="en-US">2.9207204651</paragraph>
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<paragraph id="par_id1901201615114753" role="paragraph" localize="false" xml-lang="en-US">3.1115151515</paragraph>
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<paragraph id="par_id19012016151147" role="paragraph" localize="false" xml-lang="en-US">3.3815248876</paragraph>
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<paragraph id="par_id190120161114720" role="paragraph" localize="false" xml-lang="en-US">2.6727272727</paragraph>
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<paragraph id="par_id1901201615114738" role="paragraph" localize="false" xml-lang="en-US">3.2723159341</paragraph>
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<paragraph id="par_id1901201615114798" role="paragraph" localize="false" xml-lang="en-US">2.3554713075</paragraph>
</tablecell>
</tablerow>
</table>
<section id="relatedtopics">
<embed href="text/scalc/01/stat_data.xhp#otherstat"/>
</section>
</body>
</helpdocument>
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