How is the braking distance for a car related to the amount of tread left on the tires? Here are the braking distances (measured in car lengths) for a car making a panic stop in standing water, along with the tread depth of the tires (in 1/32 inch):

Tread depth (1/32 in.) …………….. Braking distance (car lengths)

11 ………………………………………………… 9.7

10 ………………………………………………… 9.8

9 ………………………………………………… 10.1

8 ………………………………………………… 10.4

7 ………………………………………………… 10.8

6 ………………………………………………… 11.2

5 ………………………………………………… 11.8

4 ………………………………………………… 12.4

3 ………………………………………………… 13.6

2 ………………………………………………… 15.2

1 ………………………………………………… 18.3

a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

b. Use the model from part (a) to calculate and interpret the residual for the trial when the tread depth was 3/32 inch.