In Exercise 5.25 we expressed the model Y aKb2Lb3Eb4Mb5 expfeg in terms of logarithms and estimated it using data in the file manuf.dat. Use

In Exercise 5.25 we expressed the model Y ¼ aKb2Lb3Eb4Mb5 expfeg in terms of logarithms and estimated it using data in the file manuf.dat. Use the data and results from Exercise 5.25 to test the following hypotheses:

(a) H0 :b2 ¼ 0 against H1 :b2 6¼ 0:

(b) H0 :b2 ¼ 0, b3 ¼ 0 against H1 :b2 6¼ 0 and/or b3 6¼ 0.

(c) H0 :b2 ¼ 0, b4 ¼ 0 against H1 :b2 6¼ 0 and/or b4 6¼ 0:

(d) H0 :b2 ¼ 0, b3 ¼ 0; b4 ¼ 0 against H1 :b2 6¼ 0 and/or b3 6¼ 0 and/or b4 6¼ 0.

(e) H0 :b2 þ b3 þ b4 þ b5 ¼ 1 against H1 :b2 þ b3 þ b4 þ b5 6¼ 1.

(f) Analyze the impact of collinearity on this model.