How can I perform multivariable polynomial curve fitting?
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Mitchell
on 15 May 2013
Commented: Abdullah Danyal Saeed
on 24 Nov 2016
Hey Community! I am looking to perform a polynomial curve fit on a set of data so that I get a multivariable polynomial. I have successfully been able to fit a variable on an independent set using polyfit(). In my case, that was "voltage as a function of current." I want to be able to perform a fit that gives me a function for something like, "voltage as a function of current and temperature." Any ideas?
Cheers!
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Accepted Answer
Shashank Prasanna
on 15 May 2013
You can use the curve fitting toolbox (cftool) or the statistics toolbox (regress, LinearModel.fit, NonLinearModel.fit) to perform multiple linear regression.
If you don't have any of those toolboxes then you can set up your own optimization problem to fit your function as below:
2 Comments
Shashank Prasanna
on 15 May 2013
Edited: Shashank Prasanna
on 15 May 2013
1) Yes Z = f(X,Y)
2) If you don't have same size data, you may have to interpolate.
More Answers (2)
cr
on 15 May 2013
I dont think basic Matlab has got that ability. You will need curve fitting toolbox to do surface fitting. See this link: http://www.mathworks.in/help/curvefit/surface-fitting.html
Regards.
David Graff
on 27 Apr 2015
Use the excellent polyfitn package at http://www.mathworks.com/matlabcentral/fileexchange/34765-polyfitn . I love it and use it all the time.
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