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    Bivarate Data Sets

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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 8.3
    2.0 7.1
    3.0 8.0
    4.0 5.9
    5.0 6.6
    6.0 4.5
    7.0 4.9
    8.0 3.3
    9.0 4.2
    10.0 2.9

    u v = Figure 2
    --- ---
    1.0 7.4
    2.0 5.5
    3.0 3.6
    4.0 2.1
    5.0 1.8
    6.0 1.7
    7.0 2.0
    8.0 3.3
    9.0 5.2
    10.0 7.2

    w t = Figure 3
    --- ---
    1.0 4.3
    2.0 5.8
    3.0 6.9
    4.0 4.4
    5.0 5.3
    6.0 8.0
    7.0 5.7
    8.0 6.8
    9.0 9.0
    10.0 7.6
    m n = Figure 4
    ---- ----
    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

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

    1. 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

    2. Which data set indicated 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 the data sets

    3. 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 the data sets

    4. 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

    © BrainMass Inc. brainmass.com June 3, 2020, 5:05 pm ad1c9bdddf
    https://brainmass.com/statistics/correlation/bivarate-data-sets-13382

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    Solution Summary

    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 8.3
    2.0 7.1
    3.0 8.0
    4.0 5.9
    5.0 6.6
    6.0 4.5
    7.0 4.9
    8.0 3.3
    9.0 4.2
    10.0 2.9

    u v = Figure 2
    --- ---
    1.0 7.4
    2.0 5.5
    3.0 3.6
    4.0 2.1
    5.0 1.8
    6.0 1.7
    7.0 2.0
    8.0 3.3
    9.0 5.2
    10.0 7.2

    w t = Figure 3
    --- ---
    1.0 4.3
    2.0 5.8
    3.0 6.9
    4.0 4.4
    5.0 5.3
    6.0 8.0
    7.0 5.7
    8.0 6.8
    9.0 9.0
    10.0 7.6
    m n = Figure 4
    ---- ----
    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

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

    1. 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

    2. Which data set indicated 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 the data sets

    3. 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 the data sets

    4. 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

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