Suppose that a simple linear regression model has been fit to n = 25 observations and R 2 = 0.90. (a) Test for significance of regression at α = 0.05. (b) What is the smallest value of R 2 that would...

Suppose that a simple linear regression model has been fit to
n
= 25 observations and
R
²= 0.90.

(a) Test for significance of regression at α = 0.05.

(b) What is the smallest value of
R
²that would lead to the conclusion of a significant regression if α = 0.05?