# Correlation coefficient r

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

Row 1 20 26 34 43 51 69 72

Row 2 165 144 112 180 207 146 165

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

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

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

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

c) What effect does switching the variable have on the correlation coefficient?

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

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#### Solution Preview

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

Row 1 20 26 ...

#### Solution Summary

This solution answers questions regarding correlation coefficients.