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A statistical program is recommended, A company provides maintenance service for water-ltration systems throughout southern Florida. Customers contact the company with requests for maintenance service
A statistical program is recommended, A company provides maintenance service for water-ltration systems throughout southern Florida. Customers contact the company with requests for maintenance service on their water-ltmtlon 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 variaple. Repair time is pelieved 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 pelow. (a) (b) (C) (d) Rising\" 32:23:22: 1ype of Repair Repalrperson 2.9 2 Electrical Dave Newton 30 6 Mechanical Dave Newton 43 8 Electrical Bob Jones 1,8 3 Mechanical Dave Newton 2.9 2 Electrical Dave Newton 49 7 Electrical Boo Jones 47 9 Mechanical Bob Jones 4.3 8 Mechanical Bob Jones 4,4 4 Electrical Bob Jones 45 6 Electrical Dave Newton 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.) ,7: Does the equation that you developed in part (a) provide a good fit for the observed data7 Explaint (Round your answer to two decimal places.) We see that \"A: of the variability in the repair time has been explained by the type of repair. Since this is ceaselecl V i 55%, the estimated regression equation i "Selects" V a good t for the observed data. ignore ror now the months since the last maintenance service and the type of repair associated with the machlnei Develop the estimated simple linear regression equation to predict the repair time given the repairperson who performed the service. Let x3 x3 = 1 if Dave Newton performed the service. (Round your numerical values to three decimal places.) y: Does the equation that you developed in pan (c) prowde a good t for the observed data? Explain. (Round your answer to two decimal places.) We see that % of the variability in the repair time has been explained by the repairperson. since this is -Selsct- v 55%, the estimated regression equation a good t for the observed data. 0 If Bob Jones performed the service and
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