Discussion:  All in Calculus 
Topic:  Tool: Polynomial Fitting 
Related Item:  http://mathforum.org/mathtools/tool/2141/ 
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Subject:  RE: Tool: Polynomial Fitting 
Author:  s 
Date:  Jul 26 2004 
>
http://mathforum.org/te/exchange/hosted/palu/polynomialftting/PolyFitApplet.html
> Sione introduced me to this one a while ago. Sione mentions just 2
> of hundreds of different uses for this applet in physics. The
> environment is userfriendly, with easily changable data tables.
> This would be a great applet to use in any math or science
> classroom. It will fit any points to a polynomial up to the 10th
> degree.
I am curious as to why the program limits itself to a
> polynomial of degree (n2), where n is the number of data points.
> Can't polynomials fit any data points if they are of (n1) degree?
> To put it more simply: I tried putting in (1,1), (2,8), (3,27), and
> (4,64). A cubic polynomial would obviously fit the data, but the
> program restricts the fitting curve to a polynomial of degree 2,
> since there are only 4 points. Perhaps this task of fitting to
> degree (n1) is difficult to programI don't know enough about
> making java applets to say one way or another.
Also, I was
> thinking about the swinging pendulum example, and wondered if there
> could be a way to plot data of the pendulum's position, as well. It
> might be nice if there was an applet that fit sinusoidal data, or if
> it could be worked into this one.
 
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