Question

1. Jensen Tire & Auto is in the process of deciding whether to purchase a maintenance...

1. 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 information on weekly usage (hours) and annual maintenance expense (in thousands of dollars).

SUMMARY OUTPUT

Regression Statistics

Multiple R

0.9272

R Square

0.8597

Adjusted R Square

0.8422

Standard Error

4.1466

Observations

10

ANOVA

df

SS

MS

F

Significance F

Regression

1

843.1737

843.1737

49.0391

0.00011

Residual

8

137.5513

17.1939

Total

9

980.7250

Coefficients

Standard Error

t Stat

P-value

Lower 95%

Upper 95%

Intercept

10.3350

3.8186

2.7065

0.0268

1.5293

19.1408

Weekly Usage (in Hrs)

0.9586

0.1369

7.0028

0.0001

0.6429

1.2742

  1. Write down what the estimated regression equation is that relates annual maintenance expense to weekly usage.
  2. Test the significance of regression at .05 level of significance using p-value approach
  3. Test the significance of regression at .05 level of significance using critical-value approach
  4. Comment on how good the relationship fit is. How is that determined?
  5. What is R-Sq? How is that determined?
  6. What is the value of the correlation coefficient in this problem?
  7. Jensen expects to use the new machine 30 hours per week. What is the 95% confidence interval for the company’s annual maintenance expense (Use the correct units) based on the above report for a given “x bar” = 30 hours per week.
  8. If maintenance contract costs $30,000 per year for a machine, would you recommend purchasing it for the new machine in part (g)? Why or why not?  

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