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Bivariate Data Sets for Values

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 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

u v = Figure 2
--- ---
1.0 7.7
2.0 9.0
3.0 7.0
4.0 5.7
5.0 8.0
6.0 4.9
7.0 4.4
8.0 7.3
9.0 5.9
10.0 3.8

w t = Figure 3
--- ---
1.0 3.5
2.0 6.2
3.0 7.9
4.0 9.1
5.0 9.5
6.0 10.2
7.0 9.7
8.0 8.4
9.0 6.4
10.0 4.0
m n = Figure 4
--- ---
1.0 3.0
2.0 4.4
3.0 3.9
4.0 5.0
5.0 4.5
6.0 7.0
7.0 6.3
8.0 8.0
9.0 6.9
10.0 7.7

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 its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
e. none of the data sets

2. Which data set indicates the strongest negative linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set

3. Which data set indicates a perfect positive linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
e. none of the data sets

4. Which data set has an apparent negative, but not perfect, linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
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 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

u v = Figure 2
--- ---
1.0 7.7
2.0 9.0
3.0 7.0
4.0 5.7
5.0 8.0
6.0 4.9
7.0 4.4
8.0 7.3
9.0 5.9
10.0 3.8

w t = Figure 3
--- ---
1.0 3.5
2.0 6.2
3.0 7.9
4.0 9.1
5.0 9.5
6.0 10.2
7.0 9.7
8.0 8.4
9.0 6.4
10.0 4.0
m n = Figure 4
--- ---
1.0 3.0
2.0 4.4
3.0 3.9
4.0 5.0
5.0 4.5
6.0 7.0
7.0 6.3
8.0 8.0
9.0 6.9
10.0 7.7

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 its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
e. none of the data sets

2. Which data set indicates the strongest negative linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set

3. Which data set indicates a perfect positive linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
e. none of the data sets

4. Which data set has an apparent negative, but not perfect, linear relationship between its two variables?

a. x, y data set
b. u, v data set
c. w, t data set
d. m, n data set
none of the data sets

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