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:  Alan Cooper 
Date:  Jul 23 2004 
> ...I am curious as to why the program limits itself to a
> polynomial of degree (n2), where n is the number of data points...
I believe that the purpose of the applet is just to illustrate approximate
fitting (by least squares) when an exact fit is not possible, and since degree
n2 gives an exact fit, the limit has been set at n1. This intent might
have been more clearly stated perhaps, and it might have been paedagogically
useful to also allow the user to set higher degrees and see the exact fit. I
would also like to see more explanation of the "error bounds" as in fact I have
no idea what they are supposed to represent.
Alan
 
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