1.04.2 2.0 6.0 3.0 7.1 4.0 4.8 5.0 5.6 6.0 7.8 7.0 5.5 8.0 6.6 9.09.3 3+

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 11PPS
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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 data set is made up of
sample values drawn from a population.
x y
14
1.0 7.9
10+
1.0 4.2
10+
9+
2.0 6.9
2.0 6.0
3.0 7.5
3.0 7.1 7-
4.0 5.7
4.0 4.8
5.0 6.9
X
5.0 5.6
6.0 4.7
6.0 7.8
3-
7.0 4.9
7.0 5.5
8.0 3.3
8.0 6.6
9.0 4.7
K
9.0 9.3
10.0 3.2 Figure 1
10.0 7.0 Figure 2
W t
M
M
1.0 3.0
1.0 6.8
10+
2.0 4.3
2.0 9.3
3.0 3.3
3.0 3.9
4.0 5.1
4.0 8.9
5.0 5.0
5.0 5.1
6.0 7.1 3 x
6.0 1.7 34
7.0 6.3
7.0 6.1
x
8.0 7.5
8.0 10.0
9.0 7.1
9.0 4.6
10.0 8.2 Figure 3
10.0 7.9 Figure 4
Answer the following questions about the relationships between pairs of variables and the values of 7, the sample correlation coefficient. The same response may
be the correct answer for more than one question.
For which data set is the sample correlation coefficient > closest to 0?
X
(Choose one)
(b) For which data set is the sample correlation coefficient closest to 1?
(Choose one)
(c) Which data set indicates the strongest negative linear relationship between its
two variables?
the x, y data set
(d) For which data set is the sample correlation coefficient equal to -1?
(Choose one)
6
x
7 S 9
10
Transcribed Image Text:Below are four bivariate data sets and their scatter plots. (Note that all of the scatter plots are displayed with the same scale.) Each data set is made up of sample values drawn from a population. x y 14 1.0 7.9 10+ 1.0 4.2 10+ 9+ 2.0 6.9 2.0 6.0 3.0 7.5 3.0 7.1 7- 4.0 5.7 4.0 4.8 5.0 6.9 X 5.0 5.6 6.0 4.7 6.0 7.8 3- 7.0 4.9 7.0 5.5 8.0 3.3 8.0 6.6 9.0 4.7 K 9.0 9.3 10.0 3.2 Figure 1 10.0 7.0 Figure 2 W t M M 1.0 3.0 1.0 6.8 10+ 2.0 4.3 2.0 9.3 3.0 3.3 3.0 3.9 4.0 5.1 4.0 8.9 5.0 5.0 5.0 5.1 6.0 7.1 3 x 6.0 1.7 34 7.0 6.3 7.0 6.1 x 8.0 7.5 8.0 10.0 9.0 7.1 9.0 4.6 10.0 8.2 Figure 3 10.0 7.9 Figure 4 Answer the following questions about the relationships between pairs of variables and the values of 7, the sample correlation coefficient. The same response may be the correct answer for more than one question. For which data set is the sample correlation coefficient > closest to 0? X (Choose one) (b) For which data set is the sample correlation coefficient closest to 1? (Choose one) (c) Which data set indicates the strongest negative linear relationship between its two variables? the x, y data set (d) For which data set is the sample correlation coefficient equal to -1? (Choose one) 6 x 7 S 9 10
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