# Question: An automotive engineer wanted to explain and predict the miles

An automotive engineer wanted to explain and predict the miles per gallon during city driving, y, for a variety of vehicles, using these explanatory variables: c, the number of cylinders; y, the interior passenger volume; and w, the weight of the vehicle.

a. Write a first- order multiple regression model relating y to c, y, and w.

b. Write a second- order multiple regression model relating y to c, y, w; the squares of c, v, w; and their cross- products.

a. Write a first- order multiple regression model relating y to c, y, and w.

b. Write a second- order multiple regression model relating y to c, y, w; the squares of c, v, w; and their cross- products.

## Answer to relevant Questions

Refer to the data of Exercise 12.9. Often a logarithmic transformation can be used on the dose levels to linearize the response with respect to the independent variable. a. Obtain the natural logarithms of the five dose ...Refer to Exercise 12.12. Use the fitted regression model to answer the following questions. a. Can the hypothesis of no overall predictive value of the model be rejected at the the α = .01 level? b. Test the hypothesis that ...Refer to Exercise 12.19. a. Provide a 95% confidence interval for the true coefficients associated with age and weight. b. Interpret the confidence intervals provided in part (a). A chemical firm tests the yield that results from the presence of varying amounts of two catalysts. Yields are measured for five different amounts of catalyst 1 paired with four different amounts of catalyst 2. A second- ...Refer to Exercise 12.36. a. Write the estimated least-square line for the model without a crop difference. b. Write the estimated least-square line for the model for each of the three crops. c. Do the three equation in part ...Post your question