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Bivariate Data Sets

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 8.1
2.0 7.2
3.0 8.1
4.0 5.9
5.0 6.9
6.0 4.5
7.0 5.0
8.0 3.3
9.0 4.2
10.0 2.7

u v = Figure 2
--- ---
1.0 7.9
2.0 5.3
3.0 10.2
4.0 6.4
5.0 2.2
6.0 4.7
7.0 8.7
8.0 3.9
9.0 9.4
10.0 6.7

w t = Figure 3
--- ---
1.0 4.3
2.0 5.8
3.0 7.2
4.0 4.8
5.0 5.3
6.0 8.0
7.0 5.7
8.0 7.2
9.0 9.2
10.0 7.5
m n = Figure 4
---- ----
1.0 2.6
2.0 4.3
3.0 3.4
4.0 4.9
5.0 4.7
6.0 7.3
7.0 5.9
8.0 7.7
9.0 6.8
10.0 8.3

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 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

2. Which data set indicates the strongest 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

3. For which data set is the sample correlation coefficient r closest 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

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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 8.1
2.0 7.2
3.0 8.1
4.0 5.9
5.0 6.9
6.0 4.5
7.0 5.0
8.0 3.3
9.0 4.2
10.0 2.7

u v = Figure 2
--- ---
1.0 7.9
2.0 5.3
3.0 10.2
4.0 6.4
5.0 2.2
6.0 4.7
7.0 8.7
8.0 3.9
9.0 9.4
10.0 6.7

w t = Figure 3
--- ---
1.0 4.3
2.0 5.8
3.0 7.2
4.0 4.8
5.0 5.3
6.0 8.0
7.0 5.7
8.0 7.2
9.0 9.2
10.0 7.5
m n = Figure 4
---- ----
1.0 2.6
2.0 4.3
3.0 3.4
4.0 4.9
5.0 4.7
6.0 7.3
7.0 5.9
8.0 7.7
9.0 6.8
10.0 8.3

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 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

2. Which data set indicates the strongest 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

3. For which data set is the sample correlation coefficient r closest 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

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