Consider the absorption index data in Exercise 12-2. The total sum of squares for y is SST = 742.00. (a) Test for significance of regression using a = 0.01. What is the P-value for this test? (b) Test...

Consider the absorption index data in Exercise 12-2. The total sum of squares for y is SST = 742.00.

(a) Test for significance of regression using a = 0.01. What is the P-value for this test?
(b) Test the hypothesis H0: B1 = 0 versus H1: B1 ( 0 using a = 0.01. What is the P-value for this test?
What conclusion can you draw about the usefulness of x1 as a regressor in this model?