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). Annual Maintenance Expense Weekly Usage (hours) 16 13 23 31 35 20 27 34 43 52 41 40 a. Develop the estimated regression equation that relates annual maintenance expense (in hundreds of dollars) to weekly usage hours (to 3 decimals). Expense = + Weekly Usage b. Test the significance of the relationship in part (a) at a 0.05 level of significance. Compute the value of the F test statistic (to 2 decimals). 17 22 30 37 47 31 33 39

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6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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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 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).
Annual
Maintenance
Expense
Weekly
Usage
(hours)
16
17
13
22
23
30
31
37
35
47
20
31
27
33
34
39
43
52
41
40
a. Develop the estimated regression equation that relates annual maintenance expense (in hundreds of dollars) to weekly usage hours (to 3 decimals).
Expense =
*+
Weekly Usage
b. Test the significance of the relationship in part (a) at a 0.05 level of significance.
Compute the value of the F test statistic (to 2 decimals).
The p value is less than 0.01
What is your conclusion?
Conclude that there is a significant relationship between expense and weekly usage
c. Jensen expects the new machine to be used 30 hours per week. What is the expected annual maintenance expense in hundreds of dollars (to 2 decimals)?
✩ hundred
$
Ⓒ
Develop a 95% prediction interval for the company's annual maintenance expense for this machine (to 2 decimals).
($
hundred, $
hundred)
d. If the maintenance contract costs $3000 per year, would you recommend purchasing the contract for the new machine in part (c)? Why or why not?
Yes, the expected maintenance expense is greater than $3000
Transcribed Image Text: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). Annual Maintenance Expense Weekly Usage (hours) 16 17 13 22 23 30 31 37 35 47 20 31 27 33 34 39 43 52 41 40 a. Develop the estimated regression equation that relates annual maintenance expense (in hundreds of dollars) to weekly usage hours (to 3 decimals). Expense = *+ Weekly Usage b. Test the significance of the relationship in part (a) at a 0.05 level of significance. Compute the value of the F test statistic (to 2 decimals). The p value is less than 0.01 What is your conclusion? Conclude that there is a significant relationship between expense and weekly usage c. Jensen expects the new machine to be used 30 hours per week. What is the expected annual maintenance expense in hundreds of dollars (to 2 decimals)? ✩ hundred $ Ⓒ Develop a 95% prediction interval for the company's annual maintenance expense for this machine (to 2 decimals). ($ hundred, $ hundred) d. If the maintenance contract costs $3000 per year, would you recommend purchasing the contract for the new machine in part (c)? Why or why not? Yes, the expected maintenance expense is greater than $3000
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