A company provides maintenance service for water-ltration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-ltration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenance request. Hence, repair time in hours is the dependent variable. Repair time is believed to be related to three factors, the number of months since the last maintenance service, the type of repair problem (mechanical or electrical), and the repairperson who performed the service. Data for a sample of 10 service calls are reported in the table below, "73:33\" an-m TylnofR-p-Ir Rnpllrpanoll 2.9 2 Electrical Dave Newton 3.0 6 Mechanical I Dave Newton 4.3 8 Electrical I Bob Jones 1.8 3 Mechanical I Dave Newton 2.7 2 Electrical I Dave Newton 4.9 7 Electrical Bob Jones 4.5 9 Mechanical Bob Jones 4.6 a Mechanical Bob Jones 4.4 4 Electrical Bob Jones 4.5 6 Electrical Dave Newton (a) ignore for now the months since the last maintenance service (x1) and the repairperson who performed the service. Develop the estimated simple linear regression equation to predict the repair time (y) given the type of repair (x2). Let x2 = o if the type of repair is mechanical and x2 = 1 if the type of repair is electrical. (Round your numerical values to three decimal places.) V = 3.575 + 0.458t2 X (b) Does the equation that you developed in part (a) provide a good fit for the observed data? Explain, (Rnurvd your answer to two decimal places.) We see that 4.33 X we of the variability in the repair time has been explained by the type of repair. since this is less than 3 55%, the esmated regression equation did not provide a V a good t for the observed data. (c) ignore for now the months since the last maintenance service and the type of repair associated with the machine. Develop the estimated simple linear regression equation to predict the repair time given the repairperson who performed the service. Let x3 = o if Bob Jones performed the service and x3 = 1 if Dave Newton performed the service. (Round your numerical values to three decimal places.) p: 4.7201140ta X (d) Does the equation that you developed in part (a) provide a good t for the observed data? Explain. (Round your answer to two decimal places.) We see that 6579 X we of the variability in the repair time has been explained by the repalrperson, Slnce this is at least 6 55%, the estimated regression equation provided 3 a good fit for the observed data