In addition to testing for a linear correlation between x and y, we can often use transformations of data to explore for other relationships. For example, we might replace each x value by x1 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 scatter diagram 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. x1 c. log x d. Vx e. 1/x

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x 1.3 1.3 2.4 .6 2.8 2.43.0 4.1 y 0.11 0.38 0.4 0.45 0.39 0.48 0.61