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    Correlation coefficient r

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    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.

    $2.19

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