How to evalute the accuracy of the regressed model?

Question

Jiazeng Shan 2011-9-28

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/16894-how-to-evalute-the-accuracy-of-the-regressed-model

The simple model configuration is supposed as y = k/x. I want to use this to fit the scatter data. Using the command "regress" we could obtain the coefficient k but the R2 in the states is negative always because of the lack of constant coefficient. A simple example shown below:

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
x = 5:1:35;
x = x(:);
y = 90./x+10.*rand(size(x));
figure
plot(x,y,'bo');
axis([0 40 0 25]);
[b,bint,r,rint,stats]  = regress(y,(1./x));
y1 = b./x;
corrcoef(y,y1)
y2 = 90./x;
corrcoef(y,y2)
y3 = 200./x;
corrcoef(y,y3)
corrcoef(y1,y2)
corrcoef(y1,y3)
corrcoef(y2,y3)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

I thought I could use "corrcoef" to evaluate the correlation between the data and the prediction. But the codes above show that the results are independent of the coefficient values. If the model is in the inverse function, the results are the same. How can I assess the accuracy of the specific regressed model like "y1 = b./x" in the example?

A similar question is related to this URL: http://mathworks.com/matlabcentral/answers/16215-how-to-regress-with-the-simple-model-like-y-kx-or-y-k-x#answer_21948

Thank you.