The central company manufactures a certain specialty item once a month in a bath production run. The number of items produced in each run varies from month to month as demand flucuates. The company is interested in the relationship between the size if the production run (x) and the number of hours of labor (y) required for the run. The company has collected the following data for the ten most recent runs:

Number of items: 40, 30, 70, 90, 50, 60, 70, 40, 80, 70

Labor (hours) : 83, 60, 138, 180, 97, 118, 140, 75, 159, 144

A. Compute the coefficient of determination (R2)for the regression of the number of labor hours on number of items produced

B. What percentage of the variation in hours of labor has been explained by the regression?

C. Use the F test to test the hypothesis at a 5% significance level.

D. From the result, are hours of labor and number of items produced linearly related?