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Chapters:
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&nbsp;&nbsp;<a href="Introduction.html">1: Introduction</a><br>
&nbsp;&nbsp;<a href="SimpleExample.html">2: Simple example</a><br>
&nbsp;&nbsp;<a href="InvokingGri.html">3: Invocation</a><br>
&nbsp;&nbsp;<a href="GettingMoreControl.html">4: Finer Control</a><br>
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&nbsp;&nbsp;<a href="Commands.html">9: Gri Commands</a><br>
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<h3>9.3.34: `<font color="#82140F"><code>regress</code></font>'</h3>

<!-- latex: \index{regress} -->

<TABLE SUMMARY="Example" BORDER="0" BGCOLOR="#efefef" WIDTH="100%">
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<PRE>
<font color="#82140F">
`regress {y vs x [linear]}|{x vs y [linear]}'
</font></PRE>
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</TABLE>     
<p>

Perform linear regression of `<font color="#82140F"><code>y</code></font>' as a function of `<font color="#82140F"><code>x</code></font>' or `<font color="#82140F"><code>x</code></font>' as
a function of `<font color="#82140F"><code>y</code></font>'.
<p>
<ul>
<p>
<li> `<font color="#82140F"><code>regress y vs x</code></font>'
Linear regression of y vs x.  Several quantities are reported and also
saved into builtin variables.  The intercept is defined as
`<font color="#82140F"><code>..coeff0..</code></font>', its 95 percent confidence limit is defined as
`<font color="#82140F"><code>..coeff0_sig..</code></font>'.  Thus the confidence range is
`<font color="#82140F"><code>..coeff0..-..coeff0_sig..</code></font>' to `<font color="#82140F"><code>..coeff0..+..coeff0_sig..</code></font>'.
Similarly the slope and confidence limit are stored in `<font color="#82140F"><code>..coeff1..</code></font>'
and `<font color="#82140F"><code>..coeff1_sig..</code></font>'
<p>
The squared correlation coefficient is stored in `<font color="#82140F"><code>..R2..</code></font>'.
<p>
<b>Historical note</b> prior to version 2.1.15, a different meaning was
attached to `<font color="#82140F"><code>..coeff0_sig..</code></font>' and `<font color="#82140F"><code>..coeff1_sig..</code></font>'; they used
be defined as standard errors, without having been multiplied by the
appropriate student-t coefficient.
<p>
<li> `<font color="#82140F"><code>regress x vs y</code></font>'
Linear regression of x vs y; for notation see above.
<p>
<li> `<font color="#82140F"><code>regress y vs x linear</code></font>'
Linear regression of y vs x; for notation see above.
<p>
<li> `<font color="#82140F"><code>regress x vs y linear</code></font>'
Linear regression of x vs y; for notation see above.
</ul>
<p>

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