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    Swapping X and Y Values to Calculate the Correlation Coefficient r

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    Row 1 - Row 2
    20 - 127
    24 - 113
    31 - 185
    48 - 121
    51 - 124
    69 - 111
    77 - 129

    a) Calculate the correlation coefficient r, letting Row 1 represent the x-values and Row 2 represent the y-values.(round to three decimal places as needed)

    b) Calculate the correlation coefficient r, letting Row 2 represent the x-values and Row 1 represent the y-values.
    (round to three decimal places as needed)

    c) What effect does switching the variables have on the correlation effect?
    The correlation coefficient (choose one: remains unchanged, increases, decreases, changes sign) when the x-values and y-values are switched.

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    https://brainmass.com/statistics/correlation/swapping-values-calculate-correlation-coefficient-498590

    Solution Preview

    Hi there,

    Thanks for letting me work on your post.

    a)
    Mean of x=(20+24+31+48+51+69+77)/7=45.71429
    Sxx=(20-45.71429)^2+(24-45.71429)^2+(31-45.71429)^2+(48-45.71429)^2+(51-45.71429)^2+(69-45.71429)^2+(77-45.71429)^2=2903.429
    Mean of ...

    Solution Summary

    The expert examines swapping X and Y values to calculate the correlation coefficient r's.

    $2.19

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