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R squared after scaling every coordinate by two

Question

A simple linear regression on some data gives R2=0.48R^2=0.48. You multiply both coordinates of every data point by 22 (so (2,5)(2,5) becomes (4,10)(4,10)) and refit. What is the new R2R^2? Enter −1-1 if it cannot be determined.

Short answer

0.480.48. Scaling yy by 22 multiplies both the residual and total sums of squares by 44, and scaling xx just rescales the slope, so the ratio defining R2R^2 is unchanged.

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