How to use least square fit in MATLAB to find coefficients of my polynomial?

Question

Majid Vaghari 2021-2-3

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https://ww2.mathworks.cn/matlabcentral/answers/735337-how-to-use-least-square-fit-in-matlab-to-find-coefficients-of-my-polynomial

评论： Jeff Miller 2021-2-5

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I have some experimnetal data for H and I like to use lease square method with matlab to fit my data with my polynomial (attached file is polynomial)

Ci is the atomic fraction of element. i have 5 elements .

I have the experimnetla data. how can i use matlab for this least square fit?

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Answer 1

Jeff Miller 2021-2-3

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https://ww2.mathworks.cn/matlabcentral/answers/735337-how-to-use-least-square-fit-in-matlab-to-find-coefficients-of-my-polynomial#answer_614127

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% It sounds like you have data arrays like these:
nPoints = 100;
H = rand(nPoints,1);
C = rand(nPoints,5);
% If so, compute the least square estimates of the a's and b's with this:
Csqr = C.^2;
ab_ests = regress(H,[C Csqr]);
% the first 5 values of ab_ests are the estimates of the a's,
% and the second 5 are the estimates of the b's