12. Refer to Problem 1 of Practice Problems for Sections 16.6 and 16.7. (a) Fit the model Y = 0 + 1X1 + 2X2 +

12. Refer to Problem 1 of Practice Problems for Sections 16.6 and 16.7.

(a) Fit the model Y = β0 + β1X1 + β2X2 + β3X3 + β4X4 + β5X5 + ε to the data of this problem.

(b) Use the t-statistic to test each of the hypotheses H0 : βi = 0 versus H1 : βi

=

0, i= 1, 2, 3, 4, 5. Use α = 0.05.

(c) Find the p-value for each hypothesis in (b).