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. v u 1.0 7.5 11 10- 9+ 8- 1.0 6.7 11r 10- 2.0 | 8.6 2.0 | 9.0 3.0 6.9 3.0 | 4.0 4.0 5.4 4.0 | 9.0 6- 5- 6+ 5. 5.0 | 8.1 5.0 | 4.7 6.0 | 5.0 3. 6.0 1.7 3. 7.0 4.9 7.0 6.0 1- 1- 8.0 6.8 9.0 6.0 Figure 1 8.0 9.7 89 10 11 9.0 | 4.9 Figure 2 10.0 3.8 10.0 7.9 w t m 1.0 8.0 11 10- 2.0 | 7.2 1.0 3.3 10- 2.0 | 3.9 9- 9- 3.0 | 7.7 8+ x 8- 74 3.0 3.1 4.0 6.2 6- 4.0 4.5 5. 5.0 4.5 6.0 | 7.1 5.0 6.9 4. 6.0 4.5 3. 3. 2. 7.0 | 4.9 7.0 | 6.0 1. 1. 8.0 | 3.3 8.0 | 7.7 6 7 89 10 11 8 9 10 11 9.0 6.6 10.0 8.1 9.0 | 4.4 Figure 3 Figure 4 10.0 3.1 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. For which data set is the sample correlation coefficient r closest to 0? Choose one 3. For which data set is the sample correlation coefficient r equal to -1? Choose one 4. Which data set indicates the strongest negative linear relationship between its two variables? Choose one

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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.

### Figure 1
| x   | y   |
|-----|-----|
| 1.0 | 7.5 |
| 2.0 | 8.6 |
| 3.0 | 6.9 |
| 4.0 | 5.4 |
| 5.0 | 8.1 |
| 6.0 | 5.0 |
| 7.0 | 4.9 |
| 8.0 | 6.8 |
| 9.0 | 6.0 |
|10.0 | 3.8 |

*Scatter plot (Figure 1)*: The points are dispersed without a clear linear correlation.

### Figure 2
| u   | v   |
|-----|-----|
| 1.0 | 6.7 |
| 2.0 | 9.0 |
| 3.0 | 4.0 |
| 4.0 | 9.0 |
| 5.0 | 4.7 |
| 6.0 | 1.7 |
| 7.0 | 6.0 |
| 8.0 | 9.7 |
| 9.0 | 4.9 |
|10.0 | 7.9 |

*Scatter plot (Figure 2)*: The points show a somewhat dispersed pattern, lacking a definitive linear trend.

### Figure 3
| w   | z   |
|-----|-----|
| 1.0 | 8.0 |
| 2.0 | 7.2 |
| 3.0 | 7.7 |
| 4.0 | 6.2 |
| 5.0 | 6.9 |
| 6.0 | 4.5 |
| 7.0 | 4.9 |
| 8.0 | 3.3 |
| 9.0 | 4.4 |
|10.0 | 3.1 |

*Scatter plot (Figure 3)*: The points suggest a moderate negative linear relationship.

### Figure 4
| m   | n   |
|-----|-----|
| 1.
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. ### Figure 1 | x | y | |-----|-----| | 1.0 | 7.5 | | 2.0 | 8.6 | | 3.0 | 6.9 | | 4.0 | 5.4 | | 5.0 | 8.1 | | 6.0 | 5.0 | | 7.0 | 4.9 | | 8.0 | 6.8 | | 9.0 | 6.0 | |10.0 | 3.8 | *Scatter plot (Figure 1)*: The points are dispersed without a clear linear correlation. ### Figure 2 | u | v | |-----|-----| | 1.0 | 6.7 | | 2.0 | 9.0 | | 3.0 | 4.0 | | 4.0 | 9.0 | | 5.0 | 4.7 | | 6.0 | 1.7 | | 7.0 | 6.0 | | 8.0 | 9.7 | | 9.0 | 4.9 | |10.0 | 7.9 | *Scatter plot (Figure 2)*: The points show a somewhat dispersed pattern, lacking a definitive linear trend. ### Figure 3 | w | z | |-----|-----| | 1.0 | 8.0 | | 2.0 | 7.2 | | 3.0 | 7.7 | | 4.0 | 6.2 | | 5.0 | 6.9 | | 6.0 | 4.5 | | 7.0 | 4.9 | | 8.0 | 3.3 | | 9.0 | 4.4 | |10.0 | 3.1 | *Scatter plot (Figure 3)*: The points suggest a moderate negative linear relationship. ### Figure 4 | m | n | |-----|-----| | 1.
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