matrix of data into a formula

Question

Asliddin Komilov 2023-4-24

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https://ww2.mathworks.cn/matlabcentral/answers/1951978-matrix-of-data-into-a-formula

回答： Walter Roberson 2023-4-24

I have a data that is 5D matrix of Y(x,n,s,z).

I wonder if there is a function or code that could extract a relation like:

Y=ax+bn+cs+dz;

with some degree of freedom/error maybe.

Thanks in advance.

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Answer 1

Walter Roberson 2023-4-24

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在 MATLAB Online 中打开

This is to filt Y = ax + bn + cs + dz + constant

xvec = list of valid x values, in the order used to construct Y
nvec = list of valid n values, in the order used to construct Y
svec = list of valid s values, in the order used to construct Y
zvec = list of valid z values, in the order used to construct Y
[Xg, Ng, Sg, Zg] = ndgrid(xvec, nvec, svec, zvec);
A = [Xg(:), Ng(:), Sg(:), Zg(:), ones(numel(Xg),1)];
b = Y(:);
xnsz1 = A\b;
a = xnsz1(1); b = xnsz1(2); c = xnsz1(3); d = xnsz1(4); constant = xnsz1(5);