The Buena School District has an aging fleet of buses.

The Buena School District has an aging fleet of buses.

Recently the operations supervisor, Mr. Owen, became concerned about maintenance costs associated with operating the buses. One characteristic of concern was the age of the buses.

Mr. Owen has asked you, a student intern, to investigate whether age of the buses influences the cost of maintenance. He also wants to know what typical costs are, and what the average age of the fleet is. In addition, he was thinking of acquiring another bus that is 10 years old and has a monthly maintenance cost of $350. Assuming that the price of the bus is acceptable, is $350 a reasonable monthly maintenance cost for a 10 year old bus?

A Minitab file with a sample of 80 buses is posted on Moodle. The variables are: bus number; last month’s maintenance cost in $; age of the bus in years; miles driven last month; type of fuel; manufacturer; and number of passengers the bus holds. PLEASE USE ONLY THE VARIABLES ASKED FOR IN THE ANALYSIS.

REPORT:

a. Run descriptive statistics for the relevant variables only.
b. Develop a model to predict maintenance based on age. Evaluate the model. Don’t show just output—you need to explain what the output means.
c. Interpret the slope of the regression equation.
d. Use the model to predict maintenance for a 10-year-old bus. Interpret the prediction interval.
e. Discuss limitations of the model. This can include things about the sample, like its size and whether it was random, or the range of data to which it is limited. You can also discuss missing variables. For example, is age the only factor that influences the maintenance cost of a bus? What other things should you consider?

 
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