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    Bivariate Data Sets

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    Below are four bivariate data sets. Each data set is made up of sample values drawn from a population.

    x y = Figure 1
    --- ---
    1.0 7.8
    2.0 6.9
    3.0 7.3
    4.0 5.9
    5.0 6.9
    6.0 4.8
    7.0 4.6
    8.0 3.4
    9.0 4.3
    10.0 2.5

    u v = Figure 2
    --- ---
    1.0 4.4
    2.0 6.0
    3.0 7.0
    4.0 4.8
    5.0 4.7
    6.0 7.7
    7.0 5.7
    8.0 7.0
    9.0 9.1
    10.0 7.7

    w t = Figure 3
    --- ---
    1.0 1.0
    2.0 2.0
    3.0 4.0
    4.0 4.0
    5.0 5.0
    6.0 6.0
    7.0 7.0
    8.0 8.0
    9.0 9.0
    10.0 10.0
    m n = Figure 4
    ---- ----
    1.0 6.7
    2.0 9.8
    3.0 3.7
    4.0 9.2
    5.0 4.9
    6.0 2.3
    7.0 5.7
    8.0 9.8
    9.0 5.0
    10.0 7.6

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

    1. In which data set is there evidence of a strong nonlinear relationship between the 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 these 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 these data sets

    3. Which data set indicates a perfect positive 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 these data sets

    4. Which data set indicates 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

    © BrainMass Inc. brainmass.com March 4, 2021, 5:50 pm ad1c9bdddf
    https://brainmass.com/statistics/correlation/bivariate-data-sets-13427

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    Solution Summary

    Below are four bivariate data sets. Each data set is made up of sample values drawn from a population.

    x y = Figure 1
    --- ---
    1.0 7.8
    2.0 6.9
    3.0 7.3
    4.0 5.9
    5.0 6.9
    6.0 4.8
    7.0 4.6
    8.0 3.4
    9.0 4.3
    10.0 2.5

    u v = Figure 2
    --- ---
    1.0 4.4
    2.0 6.0
    3.0 7.0
    4.0 4.8
    5.0 4.7
    6.0 7.7
    7.0 5.7
    8.0 7.0
    9.0 9.1
    10.0 7.7

    w t = Figure 3
    --- ---
    1.0 1.0
    2.0 2.0
    3.0 4.0
    4.0 4.0
    5.0 5.0
    6.0 6.0
    7.0 7.0
    8.0 8.0
    9.0 9.0
    10.0 10.0
    m n = Figure 4
    ---- ----
    1.0 6.7
    2.0 9.8
    3.0 3.7
    4.0 9.2
    5.0 4.9
    6.0 2.3
    7.0 5.7
    8.0 9.8
    9.0 5.0
    10.0 7.6

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

    1. In which data set is there evidence of a strong nonlinear relationship between the 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 these 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 these data sets

    3. Which data set indicates a perfect positive 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 these data sets

    4. Which data set indicates 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

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