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 11- 1.0 3.0 10- 9. 2.0 4.3 8+ 3.0 3.5 7+ 4.0 5.2 6. 5. 5.0 4.1 44 6.0 6.8 7.0 5.9 8.0 7.8 9.0 6.8 10.0 8.1 Figure 1 0 W t 1.0 1.0 2.0 2.0 3.0 3.0 4.0 4.0 5.0 5.0 6.0 6.0 7.0 7.0 8.0 8.0 9.0 9.0 10.0 10.0 Figure 3. 11. 10- 94 84 7+ 5 4. 3. X X X + + + + + + + + + N' u v 1.0 8.1 10- 9 2.0 5.2 3.0 10.0 4.0 6.2 5.0 2.1 6.0 4.8 7.0 9.1 8.0 3.3 9.0 9.3 10.0 6.8 Figure 2 ▼ 8- X 7+ 6- 54 4 34 2 1 m n 1.0 7.5 2.0 8.9 3.0 7.2 4.0 5.4 5.0 7.8 6.0 4.7 7.0 4.0 8.0 7.0 9.0 5.9 10.0 3.9 Figure 4 11- 10- 9+ 8- 7+ 6- 5- 4. 3. 2. 1. X X (a) In which data set is there evidence of a strong nonlinear relationship between the two variables? (Choose one) (b) Which data set indicates a perfect positive linear relationship between its two variables? (Choose one) (c) Which data set indicates the strongest negative linear relationship between its two variables? (Choose one) X Answer the following questions. The same response may be the correct answer for more than one question. (d) Which data set has an apparent negative, but not perfect, linear relationship between its two variables? (Choose one) XX X X X m Ś

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Author:Amos Gilat
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Problem 1P
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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.
X y
1.0 3.0 10-
9
2.0 4.3
8+
3.0 3.5
7+
4.0 5.2 6-
5.
5.0 4.1
4.
6.0 6.8 3- X
2
7.0 5.9
8.0 7.8
9.0 6.8
10.0 8.1 Figure 1
1.
W
t
1.0 1.0
2.0 2.0
3.0 3.0
4.0 4.0
5.0 5.0
6.0 6.0
7.0 7.0
8.0 8.0
9.0 9.0
10.0 10.0 Figure 3
11+
10-
9.
8-
7+
6.
5
4
3
2.
1. X
0
X
6
++++++
+ + + + + +
8 9 10
u
V
1.0 8.1
2.0
5.2
3.0 10.0
4.0 6.2
5.0 2.1
▼
11.
10+
mn
1.0 7.5
2.0 8.9
3.0 7.2
4.0 5.4
9.
8+ x
7+
X
6+
5.
6.0 4.8
7.0
9.1
8.0 3.3
9.0 9.3
10.0 6.8 Figure 2
11.
10-
94
8-
7+
6.
5.
4
3.
2.
1.
11
X
5.0 7.8
6.0 4.7
7.0 4.0
8.0 7.0
9.0 5.9
10.0 3.9 Figure 4
X
X
(a) In which data set is there evidence of a strong nonlinear relationship between
the two variables?
(Choose one)
(b) Which data set indicates a perfect positive linear relationship between its two
variables?
(Choose one)
(c) Which data set indicates the strongest negative linear relationship between its
two variables?
(Choose one)
(d) Which data set has an apparent negative, but not perfect, linear relationship
between its two variables?
(Choose one)
X
X
x
XX
X
8
Answer the following questions. The same response may be the correct answer for more than one question.
X
X
X
X
m
9 10 11
S
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 1.0 3.0 10- 9 2.0 4.3 8+ 3.0 3.5 7+ 4.0 5.2 6- 5. 5.0 4.1 4. 6.0 6.8 3- X 2 7.0 5.9 8.0 7.8 9.0 6.8 10.0 8.1 Figure 1 1. W t 1.0 1.0 2.0 2.0 3.0 3.0 4.0 4.0 5.0 5.0 6.0 6.0 7.0 7.0 8.0 8.0 9.0 9.0 10.0 10.0 Figure 3 11+ 10- 9. 8- 7+ 6. 5 4 3 2. 1. X 0 X 6 ++++++ + + + + + + 8 9 10 u V 1.0 8.1 2.0 5.2 3.0 10.0 4.0 6.2 5.0 2.1 ▼ 11. 10+ mn 1.0 7.5 2.0 8.9 3.0 7.2 4.0 5.4 9. 8+ x 7+ X 6+ 5. 6.0 4.8 7.0 9.1 8.0 3.3 9.0 9.3 10.0 6.8 Figure 2 11. 10- 94 8- 7+ 6. 5. 4 3. 2. 1. 11 X 5.0 7.8 6.0 4.7 7.0 4.0 8.0 7.0 9.0 5.9 10.0 3.9 Figure 4 X X (a) In which data set is there evidence of a strong nonlinear relationship between the two variables? (Choose one) (b) Which data set indicates a perfect positive linear relationship between its two variables? (Choose one) (c) Which data set indicates the strongest negative linear relationship between its two variables? (Choose one) (d) Which data set has an apparent negative, but not perfect, linear relationship between its two variables? (Choose one) X X x XX X 8 Answer the following questions. The same response may be the correct answer for more than one question. X X X X m 9 10 11 S
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