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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

##### 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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