Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. х| у и 1.0 | 6.6 11 1.0 8.0 2.0 6.9 10- 2.0 | 9.4 10- 3.0 7.3 3.0 3.6 8- 4.0 5.6 4.0 | 9.2 6. 5.0 7.1 5.0 5.4 4 6.0 4.4 3 6.0 1.7 7.0 5.3 7.0 6.0 и 8.0 3.5 8.0 10.1 9.0 4.0 Figure 1 9.0 4.6| Figure 2 10.0 2.7 10.0 7.9 1.0 7.7 111 10- 1.0 2.7 11 2.0 9.1 2.0 4.2 10- 3.0 6.7 3.0 | 3.7 8- 7- 4.0 5.7 4.0 | 4.9 5.0 8.0 5.0 4.6 4 6.0 5.4 6.0 | 7.0 2 7.0 4.1 7.0 6.4 6. 7 8 9 10 11 6 7 8 8.0 6.8 8.0 | 8.1 9.0 6.4 Figure 3 9.0|7.0 Figure 4 10.0 3.7 10.0 8.4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. 1. For which data set is the sample correlation Choose one coefficient r closest to -1? 2. Which data set indicates the strongest positive linear relationship between its two Choose one variables? 3. For which data set is the sample correlation coefficient r equal to 1? Choose one 4. For which data set is the sample correlation Choose one coefficient r closest to 0?

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Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on
the same scale.) Each data set is made up of sample values drawn from a population.
х| у
и
1.0 | 6.6
11
1.0 8.0
2.0 6.9
10-
2.0 | 9.4
10-
3.0 7.3
3.0 3.6
8-
4.0 5.6
4.0 | 9.2
6.
5.0 7.1
5.0 5.4
4
6.0 4.4
3
6.0 1.7
7.0 5.3
7.0 6.0
и
8.0 3.5
8.0 10.1
9.0 4.0
Figure 1
9.0 4.6| Figure 2
10.0 2.7
10.0 7.9
1.0 7.7
111
10-
1.0 2.7
11
2.0 9.1
2.0 4.2
10-
3.0 6.7
3.0 | 3.7
8-
7-
4.0 5.7
4.0 | 4.9
5.0 8.0
5.0 4.6
4
6.0 5.4
6.0 | 7.0
2
7.0 4.1
7.0 6.4
6.
7 8 9 10 11
6 7 8
8.0 6.8
8.0 | 8.1
9.0 6.4
Figure 3
9.0|7.0
Figure 4
10.0 3.7
10.0 8.4
Answer the following questions about the relationships between pairs of variables and the values of r, the
sample correlation coefficient. The same response may be the correct answer for more than one question.
1. For which data set is the sample correlation
Choose one
coefficient r closest to -1?
2. Which data set indicates the strongest
positive linear relationship between its two
Choose one
variables?
3. For which data set is the sample correlation
coefficient r equal to 1?
Choose one
4. For which data set is the sample correlation
Choose one
coefficient r closest to 0?
Transcribed Image Text:Below are four bivariate data sets and the scatter plot for each. (Note that each scatter plot is displayed on the same scale.) Each data set is made up of sample values drawn from a population. х| у и 1.0 | 6.6 11 1.0 8.0 2.0 6.9 10- 2.0 | 9.4 10- 3.0 7.3 3.0 3.6 8- 4.0 5.6 4.0 | 9.2 6. 5.0 7.1 5.0 5.4 4 6.0 4.4 3 6.0 1.7 7.0 5.3 7.0 6.0 и 8.0 3.5 8.0 10.1 9.0 4.0 Figure 1 9.0 4.6| Figure 2 10.0 2.7 10.0 7.9 1.0 7.7 111 10- 1.0 2.7 11 2.0 9.1 2.0 4.2 10- 3.0 6.7 3.0 | 3.7 8- 7- 4.0 5.7 4.0 | 4.9 5.0 8.0 5.0 4.6 4 6.0 5.4 6.0 | 7.0 2 7.0 4.1 7.0 6.4 6. 7 8 9 10 11 6 7 8 8.0 6.8 8.0 | 8.1 9.0 6.4 Figure 3 9.0|7.0 Figure 4 10.0 3.7 10.0 8.4 Answer the following questions about the relationships between pairs of variables and the values of r, the sample correlation coefficient. The same response may be the correct answer for more than one question. 1. For which data set is the sample correlation Choose one coefficient r closest to -1? 2. Which data set indicates the strongest positive linear relationship between its two Choose one variables? 3. For which data set is the sample correlation coefficient r equal to 1? Choose one 4. For which data set is the sample correlation Choose one coefficient r closest to 0?
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