Talk to your math department. They are very familiar with ways to to do curve-fitting (which is what you are trying to do).
Try this node which may be of interest to you. It will direct you to two online lectures about curve-fitting.
Once you know the math, THEN you can do the coding. If you decide to implement your solution in Perl, come on back here if you give it a try and can't get it working. Be ready to show us the code you have written, and what errors or problems you are having with it. We are very willing to help those who have tried to help themselves first.
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