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extrema / usr / share / extrema / Help / BasicTasks / BasicTasksS11.htm
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<TITLE>Fit a function</TITLE>
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<p>
 Read in some x-y data and then find a least-squares fit to the data as a linear
 combination of given functions, or as a nonlinear function.</P>
<P>
 Read in arrays <code>x</code> and <code>y</code> from
 <a href="BasicTasksS11D01.dat">xyL.dat</a> and find the best 5th degree polynomial fit</P>
<P>
 <font color="blue"><pre>
 read xyL.dat x y
 scalar\fit a0 a1 a2 a3 a4 a5
 fit y = a0+a1*x+a1*x^2+a2*x^3+a3*x^4+a4*x^5
 </pre></font></P>
<P>
 <img src="BasicTasksS11I01.gif"></P>
<P>
 Read in arrays <code>x</code> and <code>y</code> from <a href="BasicTasksS11D02.dat">xyN.dat</a>
 and find the best fit to <code>y(x) = a0*exp(a1*x)*sin(a2*x+a3)</code></P>
<P>
 <font color="blue"><pre>
 read xyN.dat x y
 scalar\fit a0 a1 a2 a3
 a0 = 5
 a1 = -.5
 a2 = 1.5
 a3 = .5
 fit y = a0*exp(a1*x)*sin(a2*x+a3)
 </pre></font></P>
<P>
 <img src="BasicTasksS11I02.gif"></P>
<P>
  <a href="BasicTasksS10.htm"><img src="../shadow_left.gif">&nbsp;
    <font size="+1" color="olive">Read data from files</font></a><br />
  <a href="BasicTasksS12.htm"><img src="../shadow_right.gif">&nbsp;
    <font size="+1" color="olive">Define and plot a function</font></a></P>
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