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 obtaine showing which repairperson performed the service. The revised data follow. Time by+by Months + b₂ Type +by Person Round your answers to three decimal places. bo Repair Time in Hours 2.8 3.0 4.7 Use Table 2 from Appendix B to determine the p-value. The p-value is less than 0.01 1.9 2.9 4.8 4.2 4.9 4,3 "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 Months Since Last Service 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 = 1 if Dave Newton performed service. Enter negative value as negative number. 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 v c. Is the addition of the independent variable #3, the repairperson who performed the service, statistically significant? Use a = 0.05. Compute the test statistic for the significance of 3 (to 2 decimals). Enter negative value as negative number. ✓statistically significant. 2 6 8 3 2 7 b₂ by by 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). 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 so once the effect of that is accounted for the addition of person will not add much.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 38HP
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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 performed the service. The revised data follow.
Time bo + b₁ Months + b₂ Type + b3 Person
Round your answers to three decimal places.
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
Repair Time
in Hours
2.8
3.0
4.7
1.9
2.9
4.8
4.2
4.9
4.3
4.4
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 V
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.
v
Months Since
Last Service
2
6
8
3
2
7
9
8
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 = 1 if Dave Newton performed the
service. Enter negative value as negative number.
statistically significant.
What explanation can you give for the results observed?
Person is highly correlated with type of repair
4
6
bo
b₁
b₂
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).
Type of Repair
Electrical
Mechanical
Electrical
Mechanical
Electrical
Electrical
Mechanical
Mechanical
Electrical
Electrical
Repairperson
V so once the effect of that is accounted for the addition of person will not add much.
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. 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 Repair Time in Hours 2.8 3.0 4.7 1.9 2.9 4.8 4.2 4.9 4.3 4.4 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 V 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. v Months Since Last Service 2 6 8 3 2 7 9 8 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 = 1 if Dave Newton performed the service. Enter negative value as negative number. statistically significant. What explanation can you give for the results observed? Person is highly correlated with type of repair 4 6 bo b₁ b₂ 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). Type of Repair Electrical Mechanical Electrical Mechanical Electrical Electrical Mechanical Mechanical Electrical Electrical Repairperson V so once the effect of that is accounted for the addition of person will not add much. Dave Newton Dave Newton Bob Jones Dave Newton Dave Newton Bob Jones Bob Jones Bob Jones Bob Jones Dave Newton
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