Question: Consider the engine thrust data in Exercise 12-64.Refit the model using as the response variable and x*3 = ln x3 as the regressor (along with

Consider the engine thrust data in Exercise 12-64.Refit the model using as the response variable and x*3 = ln x3 as the regressor (along with x4 and x5).
(a) Test for significance of regression using a = 0.01. Find the P-value for this test and state your conclusions.

(b) Use the t-statistic to test H0: Bj = 0 versus H1: Bj = 0 for each variable in the model. If a = 0.01, what conclusions can you draw?
(c) Plot the residuals versus y* and versus x*3. Comment on these plots. How do they compare with their counterparts obtained in Exercise 12-64 parts (f) and (g)?

Observation Number X2 X3 Xs 3 3. 0.787 0.293 30 8. 8. 1.710 3 6. 0.203 4 12 5 0.806 8. 6. 10 20 6. 4.713 3 25 6. 0.607 24 25 9.107 4 4 10 12 4 25 9.210 12 25 1.365 10 16 10 8. 25 4.554 11 12 3 25 0.293 2.252 13 3 6. 3 3 50 8. 50 9.167 14 15 4 8. 8. 50 0.694 16 50 0.379 17 50 0.485 18 10 15 3 50 3.345 19 15 6. 3. 50 0.208 20 15 6. 2. 3 75 0.201 21 10 4 3 3. 75 0.329 22 2 75 4.966 23 6. 6. 4 75 1.362 1.515 24 3 8. 75 25 3 3. 8. 8. 75 0.751 2. 2.

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