A company that makes designer sandals has tracked the production volume over the past six months.

Because of the company’s focus on quality, some sandals need to be reworked before they are fit to be shipped to customers. The number of pairs of sandals produced and the number of pairs that require rework are given in the table.

Total Pairs Produced 9,202 12,146 13,844 16,454 19,710 21,582 Pairs Reworked 2,074 2,395 3,188 3,632 4,694 5,652

a. Conduct a simple linear regression analysis of these data in which the number of pairs reworked is predicted by the total pairs produced. Test the significance of the model using an a = 0.10.

b. How much does the number of reworked pairs of sandals change when the total production increases by 100 units?

c. When the total production reaches 7,500 sandals, what would you expect the number of reworked pairs to be?