Johnson Filtration, Inc., provides maintenance service for water-filtration systems throughout southern Florida. Suppose that in addition to information on the number of months since the machine was serviced and whether a mechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Repair Time Months Since in Hours Last Service Type of Repair Repairperson 2.8 Electrical Dave Newton 3.1 Mechanical Dave Newton 4.8 Electrical Bob Jones 1.9 Mechanical Dave Newton 3.0 Electrical Dave Newton ODODYNWOON 4.8 Electrical Bob Jones 4.1 Mechanical Bob Jones 4.8 Mechanical Bob Jones 4.4 Electrical Bob Jones 4.4 Electrical Dave Newton 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. Assume that @2 = 1 if the type of repair is electrical and $3 = 1 if Dave Newton performed the service. Enter negative value as negative number.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. Assume that $3 = 1 if the type of repair is electrical and #3 =1 if Dave Newton performed die service. Enter negative value as negative number. n\"- Time = bu + 111th + baType + b3Pe1-son Round vour answers to three decimal places. b. At the 0.05 level of signicance, test whether the estimated regression equation developed in part (a) represents a signicant relationship between the independent variables and the dependent variable. Compute F test statistic [to 2 decimals]. Use Table 4 from Appendix B to determine the p-value. The pvalue lS - Salad: your answer - V What is vour conclusion? - Select your answer - V c. Is the addition of the independent variable $3, the repairperson who performed the service. statisticallv signicant? Use a = 0.05. Compute the t test statistic for the signicance of $3 (to 2 decimals). Enter negative value as negative number