Good non linear Regression
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I have the following data:
x = [15, 25, 35, 45, 55, 65, 75]
y = [22.3, 27.5, 28.8, 29.9, 29.6, 27.4, 23.3]
How could I create a good regression that would fit the data above best. I'm trying to plot them both on the same graph so you can see the different between both lines.
4 Comments
Ameer Hamza
on 1 May 2020
Is this result also from 1stOpt? Did you specify the equation or the toolbox is also able to find a suitable equation to fit the data points automatically? I have never tried it, so I am not aware of all the features.
Alex Sha
on 1 May 2020
If matlab, refer: https://www.mathworks.com/matlabcentral/fileexchange/32225-interface-with-eureqa-featuring-symbolic-regression
There is also a function in 1stOpt in which the best fit model function could be serached automatically according to the data user provided.
Accepted Answer
Ameer Hamza
on 30 Apr 2020
Edited: Ameer Hamza
on 30 Apr 2020
One option is to use smoothingspline option from the curve fitting toolbox
x = [15, 25, 35, 45, 55, 65, 75];
y = [22.3, 27.5, 28.8, 29.9, 29.6, 27.4, 23.3];
model = fit(x(:), y(:), 'smoothingspline');
plot(x, y, 'r+');
hold on
xv = linspace(min(x), max(x));
plot(xv, model(xv), 'b-');
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/289065/image.png)
You can also try this FEX package: https://www.mathworks.com/matlabcentral/fileexchange/19564-local-linear-kernel-regression
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