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Fitting a function to a list (newbie)

• To: mathgroup at smc.vnet.net
• Subject: [mg21851] Fitting a function to a list (newbie)
• From: mathprof at bigfoot.com
• Date: Sun, 30 Jan 2000 18:53:32 -0500 (EST)
• Organization: Math Lover of America
• Sender: owner-wri-mathgroup at wolfram.com

I'm new to Mathematica 4.0, so I apologize if this question is overly
trivial (and please let me know if there's a place for trivial
question).

I have a list that I'd like to fit to the function:

A + B*Sin[C*x+D]

In other words, I'd like to find the (approximate numeric) values of
A,B,C,D that yield the best fit to my data.

I tried using Fit[], but it only applies to linear combinations of
functions, and couldn't optomize the values of C and D.

For this specific problem, I'm guessing some sort of Fourier transform
might work, but I'm interested in a more general solution -- for example
if Sin[] were replaced with a more complicated function.

Any help appreciated!


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