N-dimension curve fit how to

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Adam
Adam 2024-9-14
编辑： Matt J 2024-9-15
Can someone please walk me through how to do a polynomial curve fit to n-dimensional data? For example: I have a 3D matrix t = [i x j x k] of results for all combinations of 3 different variables x = [i x 1], y = [j x 1], and z = [k x 1], and we know it follows a polynomial fit (e.g. x = 4th order, y = 2nd order, and z = 2nd order). How do I set up the problem, define the fit equation, and find the fit parameters?

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Steven Lord
Steven Lord 2024-9-14
See the Multiple Regression section on this documentation page. While that example only uses the first power of each of the variables x1 and x2 in the creation of the X coefficient matrix, you could use terms like x1.^2 and/or x1.*x2.^3 to create additional columns.
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Adam
Adam 2024-9-15
It seems like the solution shown in that doc is only for a single coefficient linear equation. How do you extend that to multi-order polynomial fit?

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Matt J
Matt J 2024-9-15
编辑：Matt J 2024-9-15

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