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No, the normal equations are not restricted to polynomials. They can be used
for any function of one variable. For example, we could find the curve that
best fits the function
 ,
and
The procedures would be the same as fitting data to a straight line except that we use 
instead of x.
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Updated: September 14, 2000
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for certain data points. We
would solve
XTXc = XTy with