Question: 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,

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 case results in the largest value of r?

a. x
b. x²
c. log x
d. √x
e. 1/x

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