# In addition to testing for a linear correlation between x and y, we can often use transformations

## 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, we might replace each x value by x^{2} and use the methods of this section to determine whether there is a linear correlation between y and x^{2}. 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. x^{2}

c. log x

d. √x

e. 1/x

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**Related Book For**

## Mathematical Interest Theory

**ISBN:** 9781470465681

3rd Edition

**Authors:** Leslie Jane, James Daniel, Federer Vaaler