# 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

#### 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