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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 vas serviced and whether a mechanical or an electrical rep the managers obtained a list shoving which repairperson performed the service. The revised data follow. Repair Time Honths Since in Hours Last Service Type of Repair Repairperson 3.0 Electrical Dave Nenton 2.9 Mechanical Dave Nenton 4.8 Electrical Bob Jones 1.7 Mechanical Dave Nenton 3.0 Electrical Dave Nenton 4.8 Electrical Bob Jones 4.1 Mechanical Bob Jones 4.8 Mechanical Bob Jones 4.5 Electrical Bob Jones 4.5 Electrical Dave Nenton

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 vas serviced and whether a mechanical or an electrical rep the managers obtained a list shoving which repairperson performed the service. The revised data follow. Repair Time Honths Since in Hours Last Service Type of Repair Repairperson 3.0 Electrical Dave Nenton 2.9 Mechanical Dave Nenton 4.8 Electrical Bob Jones 1.7 Mechanical Dave Nenton 3.0 Electrical Dave Nenton 4.8 Electrical Bob Jones 4.1 Mechanical Bob Jones 4.8 Mechanical Bob Jones 4.5 Electrical Bob Jones 4.5 Electrical Dave Nenton

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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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. Repair Time Months Since in Hours Last Service Type of Repair Repairperson 3.0 Electrical Dave Newton 2.9 Mechanical Dave Newton 4.8 8 Electrical Bob Jones 1.7 Mechanical Dave Newton 3.0 2 Electrical Dave Newton 4.8 7 Electrical Bob Jones 4.1 Mechanical Bob Jones 4.8 Mechanical Bob Jones 4.5 Electrical Bob Jones 4.5 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 2 = 1 if the type of repair is electrical and 3 = 1 if Dave Newton performed the service. Enter negative value as negative number. Time = bo + b, Months + b Type + bg Person Round your answers to three decimal places. bo 1.736 .297 b2 1.154 b3 -0.568 8 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). 14.27 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 v c. Is the addition of the independent variable a3, the repairperson who performed the service, statistically significant? Use a = 0.05. Compute the t test statistic for the significance of 13 (to 2 decimals). Enter negative value as negative number. -1.27 Use Table 2 from Appendix B to determine the p-value. The p-value is greater than 0.10 What is your conclusion? The addition of Person is not statistically significant. What explanation can you give for the results observed? Person is highly correlated with months since last service v , so once the effect of that is accounted for the addition of person will not add much. |이 0| 0 |0|
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. Repair Time Months Since in Hours Last Service Type of Repair Repairperson 3.0 Electrical Dave Newton 2.9 Mechanical Dave Newton 4.8 8 Electrical Bob Jones 1.7 Mechanical Dave Newton 3.0 2 Electrical Dave Newton 4.8 7 Electrical Bob Jones 4.1 Mechanical Bob Jones 4.8 Mechanical Bob Jones 4.5 Electrical Bob Jones 4.5 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 2 = 1 if the type of repair is electrical and 3 = 1 if Dave Newton performed the service. Enter negative value as negative number. Time = bo + b, Months + b Type + bg Person Round your answers to three decimal places. bo 1.736 .297 b2 1.154 b3 -0.568 8 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). 14.27 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 v c. Is the addition of the independent variable a3, the repairperson who performed the service, statistically significant? Use a = 0.05. Compute the t test statistic for the significance of 13 (to 2 decimals). Enter negative value as negative number. -1.27 Use Table 2 from Appendix B to determine the p-value. The p-value is greater than 0.10 What is your conclusion? The addition of Person is not statistically significant. What explanation can you give for the results observed? Person is highly correlated with months since last service v , so once the effect of that is accounted for the addition of person will not add much. |이 0| 0 |0|
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