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    Interpreting the relationship between two variables

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    Calculate, test, and interpret the relationship between two variables using the correlation coefficient

    Given the following sample observations, draw a scatter diagram on a separate piece of paper.

    X:
    -8
    -18
    14
    5
    18

    Y:
    57
    257
    140
    9
    348

    (1) Compute the correlation coefficient. (Round your answer to 3 decimal places.)

    Coefficient of correlation

    (2) Does the relationship between the variables appear to be linear?

    Yes
    No

    (3) Try squaring the X- variable and then determine the correlation coefficient. (Round your answer to 3 decimal places.)

    Coefficient of correlation

    © BrainMass Inc. brainmass.com October 10, 2019, 5:47 am ad1c9bdddf
    https://brainmass.com/statistics/correlation/interpreting-relationship-two-variables-517586

    Solution Preview

    Hi there,

    Thanks for letting me work on your post. Here is my explanation:

    mean of x=(-8-18+14+5+18)/5=2.2
    mean of y=(57+257+140+9+348 ...

    Solution Summary

    This solution interprets the relationship between two variables.

    $2.19