I want to find the coefficients for the regression equation using nonlinear regression analysis.

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haeyeon JI
haeyeon JI 2020-8-21
编辑： Matt J 2020-8-21
We want to find the coefficients for the regression equation using nonlinear regression analysis.
For example
M=3, 3, 3, 3, 4, 4, 4, 4
R=0, 10, 20, 30, 0, 10, 20, 30
The corresponding (M,R)=SA and the SA value is not calculated, but I enter it.
SA=5, 10, 20, 16, 15, 10, 30, 13
In other words
(3,0)=5
(3,10)=10
(3,20)=20
(3,30)=16
(4,0)=15
(4,10)=10
(4,20)=30
(4,30)=13
Using this data, I want to find the coefficients a, b, c, and d that satisfy the regression equation SA=a*M+b*log(R+c)+d. How to try...

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Matt J
Matt J 2020-8-21
编辑：Matt J 2020-8-21
fminspleas from the file exchange
https://www.mathworks.com/matlabcentral/fileexchange/10093-fminspleas
would be particularly appropriate,
M=[3, 3, 3, 3, 4, 4, 4, 4].';
R=[0, 10, 20, 30, 0, 10, 20, 30].';
SA=[5, 10, 20, 16, 15, 10, 30, 13].';
MR=[M,R];
funlist={ @(c,mr) mr(:,1) , @(c,mr)log(mr(:,2)+c), 1 };
[c,abd]=fminspleas(funlist,0,MR,SA,0);
[a,b,c,d]=deal(abd(1),abd(2), c, abd(3))
a =
4.2500
b =
5.6953
c =
7.4083
d =
-16.7902

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