x? log x 1/x 2 0.3 0.5 20 1.3 50 1.7 95 2.0 A. Correlation between x & y = B. Correlation between x? & y = C. Correlation between log x & y = D. Correlation between vx & y = E. Correlation between 1/x & y = F. Which case results in the largest (absolute value) of r?

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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 below, complete the table and compute the linear correlation between y and each of the following transformations on x. (You may use technology to calculate r.)

x2
log x
1/x
y
2
0.3
3
0.5
20
1.3
50
1.7
95
2.0
A. Correlation between x & y =
B. Correlation between x² & y =
C. Correlation between log x & y =
D. Correlation between Vx & y =
E. Correlation between 1/x & y =
F. Which case results in the largest (absolute value) of r?
Transcribed Image Text:x2 log x 1/x y 2 0.3 3 0.5 20 1.3 50 1.7 95 2.0 A. Correlation between x & y = B. Correlation between x² & y = C. Correlation between log x & y = D. Correlation between Vx & y = E. Correlation between 1/x & y = F. Which case results in the largest (absolute value) of r?
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