36. Extending Model for Repair Time. This problem is an extension of the situation described in exercise 35.

a. Develop the estimated regression equation to predict the repair time given the number of months since the last maintenance service, the type of repair, and the repairperson who performed the service.

b. At the .05 level of significance, test whether the estimated regression equation developed in part

(a) represents a significant relationship between the independent variables and the dependent variable.

c. Is the addition of the independent variable x3, the repairperson who performed the service, statistically significant? Use a = .05. What explanation can you give for the results observed?