ohnson 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 nechanical or an electrical repair was necessary, the managers obtained a list showing which repairperson performed the service. The revised data follow. Time bo + b₂ Months + b₂ Type + b₂ Person tound your answers to three decimal places. bo b₁ b₂ Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 000 Months Since Last Service 2 6 8 3 2 7 9 8 4 6 . 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 the type of repair is electrical and #3 = 1 if Dave Newton performed the service. Enter negative value as negative number. Type of Repair Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Repairperson Dave Newton Dave Newton Bob Jones Dave Newton Dave Newton Bob Jones Bob Jones Bob Jones Bob Jones Dave Newton

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 not statistically significant ✓
c. Is the addition of the independent variable #3, the repairperson who performed the service, statistically significant? Use a = 0.05.
Compute the t 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.
The p-value is less than 0.01
What is your conclusion?
The addition of Person is
What explanation can you give for the results observed?
Person is highly correlated with type of repair
✓ statistically significant.
so once the effect of that is accounted for the addition of person will not add much.
Transcribed Image Text: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 not statistically significant ✓ c. Is the addition of the independent variable #3, the repairperson who performed the service, statistically significant? Use a = 0.05. Compute the t 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. The p-value is less than 0.01 What is your conclusion? The addition of Person is What explanation can you give for the results observed? Person is highly correlated with type of repair ✓ statistically significant. so once the effect of that is accounted for the addition of person will not add much.
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.
Time bo + b₁ Months + b₂ Type + b3 Person
Round your answers to three decimal places.
bo
b₁
b₂
b3
Repair Time
in Hours
2.8
3.0
4.7
1.9
2.9
4.8
4.2
4.9
4.3
4.4
0000
Months Since
Last Service
2
6
8
3
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.
2
7
9
8
4
6
Type of Repair
Electrical
Mechanical
Electrical
Mechanical
Electrical
Electrical
Mechanical
Mechanical
Electrical
Electrical
Repairperson
Dave Newton
Dave Newton
Bob Jones
Dave Newton
Dave Newton
Bob Jones
Bob Jones
Bob Jones
Bob Jones
Dave Newton
Transcribed Image Text: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. Time bo + b₁ Months + b₂ Type + b3 Person Round your answers to three decimal places. bo b₁ b₂ b3 Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 0000 Months Since Last Service 2 6 8 3 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. 2 7 9 8 4 6 Type of Repair Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Repairperson Dave Newton Dave Newton Bob Jones Dave Newton Dave Newton Bob Jones Bob Jones Bob Jones Bob Jones Dave Newton
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