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 = 110.16190SSY = 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?

INC TIME INC TIME 5,775 16.20 9,800 35.00 13.795 37.20 4,120 25,01524.40 12,200 36.75 7400 31.75 9.340 30.00 20,170 36.00 22.400 30.80 9.70 24,210 20.00 9,625 38.20 18.000 44.0 4,608 41.25 3,00044.00 9.20 20.00 40.20 18180 3200 15,385 39.20 9,00 5,400 6,440 9,000