Chapter 10.1, Problem 35BB

Transformed Data In addition to testing for a linear correlation between x and y. we can often use transformations of data to explore other relationships. For example, we might replace each x value by x² and use the methods of this section to determine whether there is a linear correlation between y and x². Given the paired data in the accompanying table, construct the scatterplot and then test for a linear correlation between y and each of the following. Which ease results in the largest value of r?

a. x b. x² c. log x d. $\sqrt{x}$ e. 1/x