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Bivariate Data Sets

See attached file for full problem description.

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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 8.2
2.0 6.6
3.0 7.6
4.0 5.7
5.0 7.0
6.0 5.0
7.0 4.8
8.0 3.8
9.0 4.2
10.0 2.8

u v = Figure 2
--- ---
1.0 8.5
2.0 4.5
3.0 10.1
4.0 6.2
5.0 1.7
6.0 4.8
7.0 9.3
8.0 3.9
9.0 9.3
10.0 6.9

w t = Figure 3
--- ---
1.0 3.3
2.0 4.0
3.0 3.7
4.0 5.2
5.0 4.4
6.0 7.0
7.0 6.2
8.0 7.6
9.0 6.8
10.0 8.0

m n = Figure 4
---- ----
1.0 4.1
2.0 6.4
3.0 6.8
4.0 4.4
5.0 4.8
6.0 8.0
7.0 5.4
8.0 6.8
9.0 8.6
10.0 7.4

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 -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

2. 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

3. 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 these data sets

4. 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

Attachments

Solution Summary

x y = Figure 1
--- ---
1.0 8.2
2.0 6.6
3.0 7.6
4.0 5.7
5.0 7.0
6.0 5.0
7.0 4.8
8.0 3.8
9.0 4.2
10.0 2.8

u v = Figure 2
--- ---
1.0 8.5
2.0 4.5
3.0 10.1
4.0 6.2
5.0 1.7
6.0 4.8
7.0 9.3
8.0 3.9
9.0 9.3
10.0 6.9

w t = Figure 3
--- ---
1.0 3.3
2.0 4.0
3.0 3.7
4.0 5.2
5.0 4.4
6.0 7.0
7.0 6.2
8.0 7.6
9.0 6.8
10.0 8.0

m n = Figure 4
---- ----
1.0 4.1
2.0 6.4
3.0 6.8
4.0 4.4
5.0 4.8
6.0 8.0
7.0 5.4
8.0 6.8
9.0 8.6
10.0 7.4

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 -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

2. 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

3. 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 these data sets

4. 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

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