The data in CarDepreciation given in Exercise 3.93 contains information on both New price and Depreciation for a sample of 20 automobile models.

(a) Find the correlation between New price and Depreciation from the original sample of 20 automobiles.

(b) Use StatKey or other technology to create a bootstrap distribution of correlations and report the standard error.

(c) Using the standard error, create and interpret a \(95 \%\) confidence interval for the correlation between New price and Depreciation of automobile models.

Data From Exericse 3.93:

For a random sample of 20 automobile models, we record the value of the model as a new car and the value after the car has been purchased and driven 10 miles. The difference between these two values is a measure of the depreciation on the car just by driving it off the lot. Depreciation values from our sample of 20 automobile models can be found in the dataset CarDepreciation.