Use the data of Problem 3 in Chapter 5 to answer the following questions.
In Problem 3 Chapter 5

a.-b. Answer the same questions as in parts (a) and (b) of Problem 1 for the regression of TIME (Y) on INC (X).The following results will be helpful:
S2y|x = 110.16190 SSY = 2,433.78137
c. Compare the value of the test statistic F obtained in part (b) with the value of T2, the square of the test statistic for testing H0: β1 = 0 that was required in part (g) of Problem 3 in Chapter 5.
d. The P-values for the F test in part (b) and for the t test in part (g) of Problem 3 in Chapter 5 are the same. Intuitively, why does this make sense?