# 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

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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 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? _______

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?______

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? _______

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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