Good non linear Regression

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Jessica Larry 2020-4-30

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/522040-good-non-linear-regression

评论： Alex Sha 2020-5-1

采纳的回答： Ameer Hamza

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.

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Ameer Hamza 2020-5-1

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 2020-5-1

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.

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采纳的回答

Ameer Hamza 2020-4-30

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/522040-good-non-linear-regression#answer_429419

编辑：Ameer Hamza 2020-4-30

在 MATLAB Online 中打开

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-');