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Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing
Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance contract for its new computer wheel alignment and balancing machine. Managers feel that maintenance expense should be related to usage, and they collected the following information on weekly usage (hours) and annual maintenance expense (in hundreds of dollars). Click on the datafile logo to reference the data. DATA file Weekly Usage Annual Maintenance (hours) Expense ($100) 13 17.0 10 22.0 20 30.0 28 37.0 32 47.0 17 30.5 24 32.5 31 39.0 40 51.5 38 40.0 (a) Choose a scatter chart below with weekly usage as the independent variable. (i) (ii) Weekly Usage (hours) 45 40 (iii) 35 30 25 20 15 10 5 10 20 30 40 50 60 70 80 2222 222 80 70 60 50 40 30 20 10 Annual Maintenance Expense 45 40 35 30 25 20 Weekly Usage (hours) 15 10. 2250 0 Annual Maintenance Expense 10 20 30 40 50 Weekly Usage (hours) 10 20 30 40 50 60 (iv) 60 Annual Maintenance Expense 50 40 30 20 10 10 20 Select your answer- 30 40 Weekly Usage (hours) 50 50 What does the scatter chart indicate about the relationship between weekly usage and annual maintenance expense? The scatter chart indicates there may be a-Select your answer linear relationship between weekly usage and annual maintenance expense. Annual maintenance expense is expected to increase as weekly usage increases, and this scatter chart is consistent with what would be expected. (b) Use the data to develop an estimated regression equation that could be used to predict the annual maintenance expense for a given number of hours of weekly usage. What is the estimated regression model? Let x represent the number of hours of weekly usage. If required, round your answers to two decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) (c) Test whether each of the regression parameters Bo and B1 is equal to zero at a 0.05 level of significance. What are the correct interpretations of the estimated regression parameters? Are these interpretations reasonable? (1) We can conclude that neither Bonor B: are equal to zero, where Bo is the estimated change in annual maintenance expense for a one hour increase in weekly usage and B1 is the estimated annual maintenance expense if the weekly usage is zero. The interpretation of Bo is reasonable but the interpretation of B is not reasonable. (ii) We cannot conclude that either Bo or By are equal to zero, where Bo is the estimated annual maintenance expense if the weekly usage is zero and B is the estimated change in annual maintenance expense for a one hour increase in weekly usage. Both interpretations are reasonable. (iii) We can conclude that neither Bo nor B1 are equal to zero, where so is the estimated annual maintenance expense if the weekly usage is zero and B is the estimated change in annual maintenance expense for a one hour increase in weekly usage. The interpretation of Bo is not reasonable but the interpretation of B1 is reasonable. (iv) We can conclude that Bo=0 but B10, where Bo is the estimated annual maintenance expense if the weekly usage is zero and B is the estimated change in annual maintenance expense for a one hour increase in weekly usage. The interpretation of Bo is not reasonable but the interpretation of B is reasonable. - Select your answer- (d) How much of the variation in the sample values of annual maintenance cost does the model you estimated in part (b) explain? If required, round your answer to two decimal places. Do not round intermediate calculations. (e) If the maintenance contract costs $3000 per year, would you recommend purchasing it? -Select your answer- Explain. The maintenance yearly contract - Select your answer be purchased because it costs-Select your answer than the average annual maintenance expense.
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