A statistical program is recommended.A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service ontheir water-filtration systems. To estimate the service time and the service cost, the company's managers want to predict the repair time necessary for each maintenancerequest. 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.Repair Timein HoursMonths SinceType of Repair RepairpersonLast Service2.9ElectricalDave Newton3.06.MechanicalDave Newton4.88ElectricalBob Jones1.83MechanicalDave Newton2.5ElectricalDave Newton4.97ElectricalBob Jones4.69.MechanicalBob Jones4.88MechanicalBob Jones4.44ElectricalBob Jones4.56.ElectricalDave Newton(a) Ignore for now the months since the last maintenance service (x,) and the repairperson who performed the service. Develop the estimated simple linear regressionequation to predict the repair time (y) given the type of repair (x2). Let x,numerical values to three decimal places.)= 0 if the type of repair is mechanical and x, = 1 if the type of repair is electrical. (Round yourŷ = 3.550 + .450x (b) Does the equation that you developed in part (a) provide a good fit for the observed data? Explain. (Round your answer to two decimal places.)We see that 4.10% of the variability in the repair time has been explained by the type of repair. Since this is less thanO 55%, the estimated regressionequation did not provide O a good fit 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 regressionequation to predict the repair time given the repairperson who performed the service. Let x3performed the service. (Round your numerical values to three decimal places.)= 0 if Bob Jones performed the service and x,= 1 if Dave Newton4.700 – 1.760x3(d) Does the equation that you developed in part (c) provide a good fit 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 at leastO 55%, the estimated regressionequation providedO a good fit for the observed data.

Name: A statistical program is recommended.A company provides maintenance s
Uploaded: 2024-03-20T07:06:27.000Z
Channel: Bartleby
Description: A statistical program is recommended.A company provides maintenance service for water-filtration systems throughout southern Florida. Customers contact the company with requests for maintenance service ontheir water-filtration systems. To estimate t

Question

Accepted Answer

Given information:

Repair Time
Months since last service
Type of repair
Repairperson

2.9
2…