# Can you compare coefficient of determination $R^2$ fitted to two distinct sets of data?

by user1696420   Last Updated October 09, 2019 21:19 PM

I have a simple linear regression model Weight = Height * $$\beta_1$$ + $$\beta_0$$. Can I pick only men, fit model 1, get an $$R_{men}^2$$, and do the same for women with $$R_{women}^2$$, and compare these two?

Or only the explanatory variables' change can be compared, i.e., use only men, and add $$\beta_2$$*Age and compare $$R_{men,h}^2$$ and $$R_{men,h,a}$$?

Thank you very much.

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