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 rerformed the service. The revised data follow. Repair Time Months Since in Hours Last Service Type of Repair Repairperson 3.0 Electrical Dave Newton 3.0 6. Mechanical Dave Newton 4.8 8. Electrical Bob Jones 1.9 Mechanical Dave Newton 2.9 2 Electrical Dave Newton 5.0 7. Electrical Bob Jones 4.2 9. Mechanical Bob Jones 4.7 8. Mechanical Bob Jones 4.5 4 Electrical Bob Jones 4.5 6. 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 x2 = 1 if the type of repair is electrical and 23 =1 if Dave Newton performed the service. Enter negative value as negative number. Time = bo + bMonths + b2Type + b3 Person Round your answers to three decimal places. bo 1.847 b2

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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 rerformed the service. The revised data follow.
Repair Time
Months Since
in Hours
Last Service
Type of Repair
Repairperson
3.0
2
Electrical
Dave Newton
3.0
Mechanical
Dave Newton
4.8
8.
Electrical
Bob Jones
1.9
3
Mechanical
Dave Newton
2.9
Electrical
Dave Newton
5.0
Electrical
Bob Jones
4.2
6.
Mechanical
Bob Jones
4.7
8.
Mechanical
Bob Jones
4.5
4
Electrical
Bob Jones
4.5
6.
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 I2 = 1 if the type of repair is electrical and
I3 1 if Dave Newton performed the service. Enter negative value as negative number.
Time = bo + biMonths + b2 Type + b3Person
%3D
Round your answers to three decimal places.
bo
1.847
b2
Transcribed Image Text:Fignment 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 rerformed the service. The revised data follow. Repair Time Months Since in Hours Last Service Type of Repair Repairperson 3.0 2 Electrical Dave Newton 3.0 Mechanical Dave Newton 4.8 8. Electrical Bob Jones 1.9 3 Mechanical Dave Newton 2.9 Electrical Dave Newton 5.0 Electrical Bob Jones 4.2 6. Mechanical Bob Jones 4.7 8. Mechanical Bob Jones 4.5 4 Electrical Bob Jones 4.5 6. 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 I2 = 1 if the type of repair is electrical and I3 1 if Dave Newton performed the service. Enter negative value as negative number. Time = bo + biMonths + b2 Type + b3Person %3D Round your answers to three decimal places. bo 1.847 b2
%3D
service, the type of repair, and the repairperson who performed the service. Assume that 22 = 1 if the type of repair is electrical and
I3 = 1 if Dave Newton performed the service. Enter negative value as negative number.
Time = bo +b Months + b2 Type + b3Person
Round your answers to three decimal places.
bo
1.847
by
b3
b. At the 0.05 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.
Compute F test statistic (to 2 decimals).
Use Table 4 from Appendix B to determine the p-value.
The p-value is less than 0.01
What is your conclusion?
The overall model is statistically significant
c. Is the addition of the independent variable 13, the repairperson who performed the service, statistically significant? Use a = 0.05.
%3D
Compute thet test statistic for the significance of 3 (to 2 decimals). Enter negative value as negative number.
Use Table 2 from Appendix B to determine the p-value.
Transcribed Image Text:%3D service, the type of repair, and the repairperson who performed the service. Assume that 22 = 1 if the type of repair is electrical and I3 = 1 if Dave Newton performed the service. Enter negative value as negative number. Time = bo +b Months + b2 Type + b3Person Round your answers to three decimal places. bo 1.847 by b3 b. At the 0.05 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. Compute F test statistic (to 2 decimals). Use Table 4 from Appendix B to determine the p-value. The p-value is less than 0.01 What is your conclusion? The overall model is statistically significant c. Is the addition of the independent variable 13, the repairperson who performed the service, statistically significant? Use a = 0.05. %3D Compute thet test statistic for the significance of 3 (to 2 decimals). Enter negative value as negative number. Use Table 2 from Appendix B to determine the p-value.
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