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Important Information About Bivariate Data Sets

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 4.0
2.0 6.3
3.0 7.2
4.0 4.3
5.0 5.1
6.0 7.5
7.0 5.3
8.0 7.0
9.0 8.7
10.0 7.0

u v = Figure 2
--- ---
1.0 8.1
2.0 4.6
3.0 10.3
4.0 6.1
5.0 1.6
6.0 4.9
7.0 8.7
8.0 3.4
9.0 9.8
10.0 6.6

w t = Figure 3
--- ---
1.0 7.9
2.0 6.7
3.0 7.6
4.0 6.1
5.0 7.0
6.0 4.6
7.0 4.9
8.0 3.8
9.0 4.0
10.0 2.8
m n = Figure 4
---- ----
1.0 1.0
2.0 2.0
3.0 3.0
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

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

1. 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

2. 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

3. 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

4. Which data set indicates a perfect 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
e. none of the data sets

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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 4.0
2.0 6.3
3.0 7.2
4.0 4.3
5.0 5.1
6.0 7.5
7.0 5.3
8.0 7.0
9.0 8.7
10.0 7.0

u v = Figure 2
--- ---
1.0 8.1
2.0 4.6
3.0 10.3
4.0 6.1
5.0 1.6
6.0 4.9
7.0 8.7
8.0 3.4
9.0 9.8
10.0 6.6

w t = Figure 3
--- ---
1.0 7.9
2.0 6.7
3.0 7.6
4.0 6.1
5.0 7.0
6.0 4.6
7.0 4.9
8.0 3.8
9.0 4.0
10.0 2.8
m n = Figure 4
---- ----
1.0 1.0
2.0 2.0
3.0 3.0
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

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

1. 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

2. 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

3. 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

4. Which data set indicates a perfect 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
e. none of the data sets

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