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Correlation Coefficient

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Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values. What effect does switching the variable have on r?

Row 1 Row 2
10 151
25 179
32 183
47 198
54 180
63 180
75 117

1. Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 the y-values.

r = ???? (round to three decimal places)

2. Calculate the correlation r, letting Row 2 represent the x-values and Row 1 the y-values.

f = ???? (round to three decimal places)

3. What effect does switching the variables have on the correlation coefficient?

The correlation (increases, changes sign, remains unchanged or decreases) when the x-values and y-values are switched.

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Solution Summary

The solution contains the determination of the correlation coefficient for a set of data.

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