How to fit multivariable equation?

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Caglar on 15 Jul 2019
Commented: Torsten on 15 Jul 2019
I have n x 3 input data (n amount of examples for three properties) and n x 1 output data from real world observations. n is the number of examples I have.
In other words,
inputs=[1 2 3;
4 5 7;
2 4 6;
2 1 1;
outputs=[15; 26; 29; 8...];
From my experience on the subject, I expect there is a relationship similar to:
How can I use matlab to find coef1, coef2, coef3 and coef4? I checked curve fiting and optimization help pages but I could not be sure about the best way.
(I guess I can drop the term coef4 if it makes things much harder to code beacuse I expect coef4 to be small.)
For example, for the numbers I wrote above (inputs and outputs), relationship is;
so coef1 is 1, coef2 is 2, coef3 is 3 and coef4 is 1.
In real life values, equation will not fit exactly like this due to noise of the data.
Thank you,

Answers (1)

Torsten on 15 Jul 2019
Edited: Torsten on 15 Jul 2019
coeffs = [inputs, ones(size(inputs,1),1)] \ outputs
Torsten on 15 Jul 2019
It is the general solution to minimize ||[inputs,1]*coeffs - outputs|| in the least squares sense.

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