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    Bivariate data: Correlation

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    Below are four bivariate data sets. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population.

    x y = Figure 1
    --- ---
    1.0 8.0
    2.0 4.8
    3.0 9.8
    4.0 6.2
    5.0 2.0
    6.0 4.8
    7.0 8.9
    8.0 4.0
    9.0 9.7
    10.0 6.7

    u v = Figure 2
    --- ---
    1.0 7.4
    2.0 8.5
    3.0 7.0
    4.0 5.3
    5.0 7.8
    6.0 4.8
    7.0 4.0
    8.0 7.1
    9.0 5.9
    10.0 4.2

    w t = Figure 3
    --- ---
    1.0 10.0
    2.0 9.0
    3.0 8.0
    4.0 7.0
    5.0 6.0
    6.0 5.0
    7.0 4.0
    8.0 3.0
    9.0 2.0
    10.0 1.0
    m n = Figure 4
    ---- ----
    1.0 2.8
    2.0 4.0
    3.0 3.7
    4.0 5.5
    5.0 4.7
    6.0 6.8
    7.0 5.7
    8.0 7.7
    9.0 6.7
    10.0 8.0

    Answer the following questions. The same response may be the correct answer for more than one question.

    1. For which data set is the sample correlation coefficient r equal to -1? _______

    a. the x, y data set
    b. the u, v data set
    c. the w, t data set
    d. the m, n data set
    e. none of the data sets

    2. Which data set has an apparent positive, but not perfect, linear relationship between its two variables? ______

    a. the x, y data set
    b. the u, v data set
    c. the w, t data set
    d. the m, n data set
    e. none of the data sets

    3. Which data set indicated the strongest negative linear relationship between its two variables?

    a. the x, y data set
    b. the u, v data set
    c. the w, t data set
    d. the m, n data set

    4. For which data set is the sample correlation coefficient r closest to 0?

    a. the x, y data set
    b. the u, v data set
    c. the w, t data set
    d. the m, n data set

    © BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddf
    https://brainmass.com/statistics/correlation/bivariate-data-correlation-13408

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    I have drawn the figures which were not in the file. I have also calculated R 2 and given the equation of the line which will help you in understanding the problem.

    1. For which data set is the sample correlation coefficient r equal to -1? _______

    a. the x, y data ...

    Solution Summary

    Answers 4 multiple choice questions.

    $2.49

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