DATAfile: Jensen A statistical program is recommended. 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). Weekly Usage (hours) Annual Maintenance Expense 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) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) ŷ = (b) Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.) State the null and alternative hypotheses. H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 ≥ 0 Ha: ?1 < 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Reject H0. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Reject H0. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Do not reject H0. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. (c) Jensen expects to use the new machine 29 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.) $ hundred to $ hundred (d) If the maintenance contract costs $2,900 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places.) The expected expense of a machine being used 29 hours per week is

DATAfile: Jensen A statistical program is recommended. 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). Weekly Usage (hours) Annual Maintenance Expense 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) Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.) ŷ = (b) Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.) State the null and alternative hypotheses. H0: ?1 ≠ 0 Ha: ?1 = 0H0: ?1 = 0 Ha: ?1 ≠ 0 H0: ?0 ≠ 0 Ha: ?0 = 0H0: ?0 = 0 Ha: ?0 ≠ 0H0: ?1 ≥ 0 Ha: ?1 < 0 Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) p-value = State your conclusion. Do not reject H0. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Reject H0. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Reject H0. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Do not reject H0. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. (c) Jensen expects to use the new machine 29 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.) $ hundred to $ hundred (d) If the maintenance contract costs $2,900 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places.) The expected expense of a machine being used 29 hours per week is

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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DATAfile: Jensen

A statistical program is recommended.

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).

Weekly Usage (hours)	Annual Maintenance Expense
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)

Develop the estimated regression equation that could be used to predict the annual maintenance expense (in hundreds of dollars) given the weekly usage (in hours). (Round your numerical values to two decimal places.)

ŷ =

(b)

Test the significance of the relationship in part (a) at a 0.05 level of significance. (Use the F test.)

State the null and alternative hypotheses.

H₀: ?₁ ≠ 0
H_a: ?₁ = 0H₀: ?₁ = 0
H_a: ?₁ ≠ 0 H₀: ?₀ ≠ 0
H_a: ?₀ = 0H₀: ?₀ = 0
H_a: ?₀ ≠ 0H₀: ?₁ ≥ 0
H_a: ?₁ < 0

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to three decimal places.)

p-value =

State your conclusion.

Do not reject H₀. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Reject H₀. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant. Reject H₀. We cannot conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.Do not reject H₀. We conclude that the relationship between weekly usage (hours) and annual maintenance expense (in hundreds of dollars) is significant.

(c)

Jensen expects to use the new machine 29 hours per week. Develop a 95% prediction interval for the company's annual maintenance expense (in hundreds of dollars). (Round your answers to two decimal places.)

$ hundred to $ hundred

(d)

If the maintenance contract costs $2,900 per year, would you recommend purchasing it? Why or why not? (Round your answer to two decimal places.)

The expected expense of a machine being used 29 hours per week is $

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