# Bivariate Data Sets

See attached file for full problem description.

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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

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1.0 8.2

2.0 6.6

3.0 7.6

4.0 5.7

5.0 7.0

6.0 5.0

7.0 4.8

8.0 3.8

9.0 4.2

10.0 2.8

u v = Figure 2

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1.0 8.5

2.0 4.5

3.0 10.1

4.0 6.2

5.0 1.7

6.0 4.8

7.0 9.3

8.0 3.9

9.0 9.3

10.0 6.9

w t = Figure 3

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1.0 3.3

2.0 4.0

3.0 3.7

4.0 5.2

5.0 4.4

6.0 7.0

7.0 6.2

8.0 7.6

9.0 6.8

10.0 8.0

m n = Figure 4

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1.0 4.1

2.0 6.4

3.0 6.8

4.0 4.4

5.0 4.8

6.0 8.0

7.0 5.4

8.0 6.8

9.0 8.6

10.0 7.4

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 -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

2. 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

3. For which data set is the sample correlation coefficient r equal 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 these data sets

4. 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

#### Solution Summary

x y = Figure 1

--- ---

1.0 8.2

2.0 6.6

3.0 7.6

4.0 5.7

5.0 7.0

6.0 5.0

7.0 4.8

8.0 3.8

9.0 4.2

10.0 2.8

u v = Figure 2

--- ---

1.0 8.5

2.0 4.5

3.0 10.1

4.0 6.2

5.0 1.7

6.0 4.8

7.0 9.3

8.0 3.9

9.0 9.3

10.0 6.9

w t = Figure 3

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1.0 3.3

2.0 4.0

3.0 3.7

4.0 5.2

5.0 4.4

6.0 7.0

7.0 6.2

8.0 7.6

9.0 6.8

10.0 8.0

m n = Figure 4

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1.0 4.1

2.0 6.4

3.0 6.8

4.0 4.4

5.0 4.8

6.0 8.0

7.0 5.4

8.0 6.8

9.0 8.6

10.0 7.4

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 -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

2. 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

3. For which data set is the sample correlation coefficient r equal 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 these data sets

4. 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