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.

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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.
y
1.0 7.7
2.0 5.4
3.0 10.0
4.0 5.6
5.0 2.1
6.0 5.2
7.0 8.7
8.0 3.6
9.0 9.8
10.0 6.8 Figure 1
11.
10-
9+
8+
7+
6-
5-
4.
3+
2+
1.
X
W
1.0 8.1 10.
9.
2.0 6.8
8 X
3.0 7.7
7+
4.0 6.1
6+
5
4
5.0 6.7
6.0 4.1
3
2.
7.0 4.7
8.0 3.1
9.0 4.4
10.0 3.1 Figure 3
X
x x
+ +
X
(Choose one)
+ +
X
х х
90 10
W
x
u
V
1.0 10.0
2.0 9.0
3.0 8.0
4.0
7.0
5.0 6.0
6.0
5.0
7.0
4.0
8.0 3.0
9.0 2.0
10.0 1.0 Figure 2
114
10- X
9
(b) For which data set is the sample correlation coefficient r equal to 1?
m n
1.0 4.0 10+
9+
8+
8+
7+
6-
5
4.
3+
2.
2.0 6.2
3.0 6.7
4.0 4.2
5.0 5.1
6.0 7.8
7.0 5.3
8.0 7.0
9.0 9.2
10.0 7.3 Figure 4
7
6
5
4
(c) For which data set is the sample correlation coefficient closest to 0?
(Choose one) ▼
0
3
2
11
X
(a) Which data set has an apparent positive, but not perfect, linear relationship
ween its two variables?
(Choose one)
+ + +
++
+ +
X
X
X
X
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.
X
X
X
m
11
5
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. y 1.0 7.7 2.0 5.4 3.0 10.0 4.0 5.6 5.0 2.1 6.0 5.2 7.0 8.7 8.0 3.6 9.0 9.8 10.0 6.8 Figure 1 11. 10- 9+ 8+ 7+ 6- 5- 4. 3+ 2+ 1. X W 1.0 8.1 10. 9. 2.0 6.8 8 X 3.0 7.7 7+ 4.0 6.1 6+ 5 4 5.0 6.7 6.0 4.1 3 2. 7.0 4.7 8.0 3.1 9.0 4.4 10.0 3.1 Figure 3 X x x + + X (Choose one) + + X х х 90 10 W x u V 1.0 10.0 2.0 9.0 3.0 8.0 4.0 7.0 5.0 6.0 6.0 5.0 7.0 4.0 8.0 3.0 9.0 2.0 10.0 1.0 Figure 2 114 10- X 9 (b) For which data set is the sample correlation coefficient r equal to 1? m n 1.0 4.0 10+ 9+ 8+ 8+ 7+ 6- 5 4. 3+ 2. 2.0 6.2 3.0 6.7 4.0 4.2 5.0 5.1 6.0 7.8 7.0 5.3 8.0 7.0 9.0 9.2 10.0 7.3 Figure 4 7 6 5 4 (c) For which data set is the sample correlation coefficient closest to 0? (Choose one) ▼ 0 3 2 11 X (a) Which data set has an apparent positive, but not perfect, linear relationship ween its two variables? (Choose one) + + + ++ + + X X X X 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. X X X m 11 5
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