For the following data set:

a. Construct the multiple regression equation

b. Predict the value of y when x1 = 10.1, x2 = 8.5, x3 = 26.2.

c. What percentage of the variation in y is explained by the model?

d. Is the model useful for prediction? Why or why not? Use the α = 0.05 level.

e. Test H0: β1 = 0 versus H1: β1 ≠ 0 at the α = 0.05 level. Can you reject H0? Repeat for β2 and β3.

y x1 x2 x3 49.4 35.1 11.7 36.0 33.2 16.3 6.2 32.8 31.9 38.7 2.3 32.3 23.3 0.6 5.7 16.5 48.0 23.7 8.9 37.7 49.1 35.7 32.9 27.7 31.7 34.8 17.7 20.7 28.3 11.1 25.1 36.1 34.5 21.9 4.4 25.9 17.1 12.9 21.8 3.9 36.6 37.5 29.4 7.4 22.9 27.1 0.4 12.1