Question: 1. Prove that R 2 is the same as the square of the sample correlation coefficient between y i and 2. Show that when one

1. Prove that R2 is the same as the square of the sample correlation coefficient between yi and 1. Prove that R2 is the same as the square of the

2. Show that when one adds one independent variable into the regression equation, the adjusted R2 will increase if and only if the F statistic for this variable is bigger than 1.

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