y 1.0 | 7.8 1u1 1.0 | 8.4 2.0 | 8.9 9- 2.0 6.7 3.0 | 7.0 8- 3.0 | 7.3 7. 4.0 5.5 6- 4.0 6.3 6. 5.0 | 7.7 5.0 | 7.2 6.0 5.2 6.0 4.9 7.0 4.2 7.0 5.0 8.0 | 7.0 8.0| 3.5 9.0 6.1 Figure 1 9.0 3.7 Figure 2 10.0 4.0 10.0 2.9 w t n 111 1.0 8.1 2.0 | 5.4 1.0 | 2.7 10. 2.0 | 4.5 3.0 | 3.7 3.0 10.1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 3CYU
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Question
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.
y
V
1.0
7.8
11
1.0
8.4
11
10-
10.
2.0
8.9
2.0
6.7
9-
9
3.0
7.0
8-
3.0
7.3
4.0
5.5
4.0
6.3
6.
5.
5
x X
5.0
7.7
5.0
7.2
4.
3.
2
6.0
5.2
3.
6.0
4.9
2.
7.0
4.2
7.0
5.0
8.0
7.0
9 10 11
8.0
3.5
9.0
6.1
9.0
3.7
Figure 1
Figure 2
10.0 4.0
10.0 2.9
t
1111
10-
1.0
2.7
1.0
8.1
11
10-
2.0
4.5
2.0
5.4
3.0
3.7
8-
3.0 10.1
8.
7
4.0
4.7
4.0
6.0
5-
5.0
4.3
5.0
2.0
4-
3
2-
6.0
7.2
6.0
4.6
3
2
7.0
6.0
7.0
9.2
1
8.0
7.8
8.
9 10 11
8.0
3.9
8
9
10 11
9.0
7.0
9.0
9.3
Figure 3
Figure 4
10.0 8.0
10.0 6.9
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. Which data set indicates the strongest positive linear
relationship between its two variables?
Choose one
2. For which data set is the sample correlation
coefficient r equal to 1?
Choose one
3. For which data set is the sample correlation
coefficient r closest to 0?
Choose one
4. For which data set is the sample correlation
coefficient r closest to -1?
Choose one
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. y V 1.0 7.8 11 1.0 8.4 11 10- 10. 2.0 8.9 2.0 6.7 9- 9 3.0 7.0 8- 3.0 7.3 4.0 5.5 4.0 6.3 6. 5. 5 x X 5.0 7.7 5.0 7.2 4. 3. 2 6.0 5.2 3. 6.0 4.9 2. 7.0 4.2 7.0 5.0 8.0 7.0 9 10 11 8.0 3.5 9.0 6.1 9.0 3.7 Figure 1 Figure 2 10.0 4.0 10.0 2.9 t 1111 10- 1.0 2.7 1.0 8.1 11 10- 2.0 4.5 2.0 5.4 3.0 3.7 8- 3.0 10.1 8. 7 4.0 4.7 4.0 6.0 5- 5.0 4.3 5.0 2.0 4- 3 2- 6.0 7.2 6.0 4.6 3 2 7.0 6.0 7.0 9.2 1 8.0 7.8 8. 9 10 11 8.0 3.9 8 9 10 11 9.0 7.0 9.0 9.3 Figure 3 Figure 4 10.0 8.0 10.0 6.9 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. Which data set indicates the strongest positive linear relationship between its two variables? Choose one 2. For which data set is the sample correlation coefficient r equal to 1? Choose one 3. For which data set is the sample correlation coefficient r closest to 0? Choose one 4. For which data set is the sample correlation coefficient r closest to -1? Choose one
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