# Bivariate Data Sets

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 8.1

2.0 7.2

3.0 8.1

4.0 5.9

5.0 6.9

6.0 4.5

7.0 5.0

8.0 3.3

9.0 4.2

10.0 2.7

u v = Figure 2

--- ---

1.0 7.9

2.0 5.3

3.0 10.2

4.0 6.4

5.0 2.2

6.0 4.7

7.0 8.7

8.0 3.9

9.0 9.4

10.0 6.7

w t = Figure 3

--- ---

1.0 4.3

2.0 5.8

3.0 7.2

4.0 4.8

5.0 5.3

6.0 8.0

7.0 5.7

8.0 7.2

9.0 9.2

10.0 7.5

m n = Figure 4

---- ----

1.0 2.6

2.0 4.3

3.0 3.4

4.0 4.9

5.0 4.7

6.0 7.3

7.0 5.9

8.0 7.7

9.0 6.8

10.0 8.3

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

1. For which data set is the sample correlation coefficient r closest to 0? ______

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. 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

3. For which data set is the sample correlation coefficient r closest to -1? ______

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

#### 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 8.1

2.0 7.2

3.0 8.1

4.0 5.9

5.0 6.9

6.0 4.5

7.0 5.0

8.0 3.3

9.0 4.2

10.0 2.7

u v = Figure 2

--- ---

1.0 7.9

2.0 5.3

3.0 10.2

4.0 6.4

5.0 2.2

6.0 4.7

7.0 8.7

8.0 3.9

9.0 9.4

10.0 6.7

w t = Figure 3

--- ---

1.0 4.3

2.0 5.8

3.0 7.2

4.0 4.8

5.0 5.3

6.0 8.0

7.0 5.7

8.0 7.2

9.0 9.2

10.0 7.5

m n = Figure 4

---- ----

1.0 2.6

2.0 4.3

3.0 3.4

4.0 4.9

5.0 4.7

6.0 7.3

7.0 5.9

8.0 7.7

9.0 6.8

10.0 8.3

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

1. For which data set is the sample correlation coefficient r closest to 0? ______

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. 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

3. For which data set is the sample correlation coefficient r closest to -1? ______

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