Is it possible to extract also R^2 value from linear fit between 2 vectors ?

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Galina Machavariani
回答： Lola Davidson 2025-11-25，21:28
Hello,
I know that it is possible to find fit parameters using polyfit command.
F.e., linearCoefficients = polyfit(x, y, 1)
Is it possible to extract also R^2 value from linear fit between 2 vectors ?
Thank you !

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Star Strider
Star Strider 2020-1-14
It is, however polyfit wil not do it for you.
Try this:
x = 1:10; % Create ‘x’
y = randn(size(x)) + 0.2*x; % Create ‘y’
linearCoefficients = polyfit(x, y, 1); % Coefficients
yfit = polyval(linearCoefficients, x); % Estimated Regression Line
SStot = sum((y-mean(y)).^2); % Total Sum-Of-Squares
SSres = sum((y-yfit).^2); % Residual Sum-Of-Squares
Rsq = 1-SSres/SStot; % R^2
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Lola Davidson
Lola Davidson 2025-11-25，21:28
As of R2024a, polyfit will actually do this for you.
x = 1:10;
y = randn(size(x)) + 0.2*x;
[linearCoefficients,structOutput] = polyfit(x, y, 1);
Rsq = structOutput.rsquared;

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