Question

Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each sample values drawn from a population. x y 1.0 4.1 2.0 5.7 3.0 7.0 4.0 4.0 5.0 5.4 6.0 8.3 7.0 5.4 8.0 7.0 9.0 9.2 10.0 7.2 Figure 1 u v 1.0 7.1 2.0 9.6 3.0 5.6 4.0 8.9 5.0 5.3 6.0 2.1 7.0 6.3 8.0 10.0 9.0 4.9 10.0 8.0 Figure 2 w t 1.0 3.1 2.0 4.2 3.0 3.8 4.0 4.9 5.0 4.7 6.0 7.3 7.0 6.4 8.0 8.0 9.0 7.2 10.0 7.9 Figure 3 m n 1.0 8.3 2.0 6.8 3.0 7.7 4.0 5.8 5.0 6.5 6.0 4.5 7.0 5.3 8.0 3.5 9.0 4.4 10.0 3.1 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient may be the correct answer for more than one question. (a) For which data set is the sample correlation coefficient r closest to 0? (Choose one) (b) For which data set is the sample correlation coefficient r equal to 1? (Choose one) (c) For which data set is the sample correlation coefficient r closest to -1? (Choose one) (d) Which data set indicates the strongest positive linear relationship between its two variables? (Choose one)

          Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each sample values drawn from a population.

x y
1.0 4.1
2.0 5.7
3.0 7.0
4.0 4.0
5.0 5.4
6.0 8.3
7.0 5.4
8.0 7.0
9.0 9.2
10.0 7.2
Figure 1

u v
1.0 7.1
2.0 9.6
3.0 5.6
4.0 8.9
5.0 5.3
6.0 2.1
7.0 6.3
8.0 10.0
9.0 4.9
10.0 8.0
Figure 2

w t
1.0 3.1
2.0 4.2
3.0 3.8
4.0 4.9
5.0 4.7
6.0 7.3
7.0 6.4
8.0 8.0
9.0 7.2
10.0 7.9
Figure 3

m n
1.0 8.3
2.0 6.8
3.0 7.7
4.0 5.8
5.0 6.5
6.0 4.5
7.0 5.3
8.0 3.5
9.0 4.4
10.0 3.1
Figure 4

Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient may be the correct answer for more than one question.

(a) For which data set is the sample correlation coefficient r closest to 0?
(Choose one)
(b) For which data set is the sample correlation coefficient r equal to 1?
(Choose one)
(c) For which data set is the sample correlation coefficient r closest to -1?
(Choose one)
(d) Which data set indicates the strongest positive linear relationship between its two variables?
(Choose one)

Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each sample values drawn from a population.

x y
1.0 4.1
2.0 5.7
3.0 7.0
4.0 4.0
5.0 5.4
6.0 8.3
7.0 5.4
8.0 7.0
9.0 9.2
10.0 7.2
Figure 1

u v
1.0 7.1
2.0 9.6
3.0 5.6
4.0 8.9
5.0 5.3
6.0 2.1
7.0 6.3
8.0 10.0
9.0 4.9
10.0 8.0
Figure 2

w t
1.0 3.1
2.0 4.2
3.0 3.8
4.0 4.9
5.0 4.7
6.0 7.3
7.0 6.4
8.0 8.0
9.0 7.2
10.0 7.9
Figure 3

m n
1.0 8.3
2.0 6.8
3.0 7.7
4.0 5.8
5.0 6.5
6.0 4.5
7.0 5.3
8.0 3.5
9.0 4.4
10.0 3.1
Figure 4

Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient may be the correct answer for more than one question.

(a) For which data set is the sample correlation coefficient r closest to 0?
(Choose one)
(b) For which data set is the sample correlation coefficient r equal to 1?
(Choose one)
(c) For which data set is the sample correlation coefficient r closest to -1?
(Choose one)
(d) Which data set indicates the strongest positive linear relationship between its two variables?
(Choose one)

Added by Brittney N.

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