Consider the four data sets shown in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the data table. (a) Compute the linear correlation coefficient for each data set The linear correlation coefficient for the first data set is (Round to three decimal places as needed.) The linear correlation coefficient for the second data set is (Round to three decimal places as needed.) The linear correlation coefficient for the third data set is (Round to three decimal places as needed) The linear correlation coefficient for the fourth data set is (Round to three decimal places as needed.) (b) Draw a scatter diagram for each data set Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of bivariate data. Draw a scatter diagram for the first data set. Choose the correct graph below. OA Draw a scatter diagram for the second data set. Choose the correct graph below. OA 1 Q Draw a scatter diagram for the third data set. Choose the correct graph below. OA .4 Draw a scatter diagram for the fourth data set. Choose the correct graph below. OA Q OB OB Q Q OC OC OC COO OD OD

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Consider the four data sets shown in the accompanying table. Complete parts (a) and (b) below.
Click the icon to view the data table.
(a) Compute the linear correlation coefficient for each data set.
The linear correlation coefficient for the first data set is
(Round to three decimal places as needed.)
The linear correlation coefficient for the second data set is
(Round to three decimal places as needed.)
The linear correlation coefficient for the third data set is
(Round to three decimal places as needed.)
The linear correlation coefficient for the fourth data set is
(Round to three decimal places as needed.)
(b) Draw a scatter diagram for each data set. Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of bivariate data.
Draw a scatter diagram for the first data set. Choose the correct graph below.
OA.
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Draw a scatter diagram for the second data set. Choose the correct graph below.
0
OA.
PA
0
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Draw a scatter diagram for the third data set. Choose the correct graph below.
15-
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Draw a scatter diagram for the fourth data set. Choose the correct graph below.
OA.
B.
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15+
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OB.
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15-
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OB.
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Transcribed Image Text:Consider the four data sets shown in the accompanying table. Complete parts (a) and (b) below. Click the icon to view the data table. (a) Compute the linear correlation coefficient for each data set. The linear correlation coefficient for the first data set is (Round to three decimal places as needed.) The linear correlation coefficient for the second data set is (Round to three decimal places as needed.) The linear correlation coefficient for the third data set is (Round to three decimal places as needed.) The linear correlation coefficient for the fourth data set is (Round to three decimal places as needed.) (b) Draw a scatter diagram for each data set. Conclude that linear correlation coefficients and scatter diagrams must be used together in any statistical analysis of bivariate data. Draw a scatter diagram for the first data set. Choose the correct graph below. OA. Ay 15+ OA. Draw a scatter diagram for the second data set. Choose the correct graph below. 0 OA. PA 0 Q Q Draw a scatter diagram for the third data set. Choose the correct graph below. 15- Q Q Draw a scatter diagram for the fourth data set. Choose the correct graph below. OA. B. 15 OB. 15+ 0 OB. Ay 15- 0 OB. 20+ 0 www Q C Q G Q G C OC. O C. 15+ OC. Ay 15 OC. 15- 04 G Q Q O D. Ay 15+ OD. Ay 15+ 0 OD. 15- 0 OD. 15- ✓ ✓ Q Q
x1
10
8
13
9
11
14
6
4
12
SLE
7
5
y1
10.04
8.95
9.58
10.81
x2
10
8
13
9
10.33 11
11.96 14
9.24 6
Lo st
6.26
4
12.84
12
6.82 7
7.68 5
y2
11.14
10.14
10.74
10.77
11.26
10.10
8.13
5.10
11.13
9.26
7
6.47 5
x3
10
8
13
9
11
14
64
4
12
y3
9.46
8.77
14.74
9.11
9.81
10.84
8.08
7.39
x4
7
8.42
7.73
7
7
7
7
7
7
7
10.15 7
7
18
y4
8.58
7.76
9.71
10.84
10.47
9.04
7.25
7.56
9.91
8.89
14.50
Transcribed Image Text:x1 10 8 13 9 11 14 6 4 12 SLE 7 5 y1 10.04 8.95 9.58 10.81 x2 10 8 13 9 10.33 11 11.96 14 9.24 6 Lo st 6.26 4 12.84 12 6.82 7 7.68 5 y2 11.14 10.14 10.74 10.77 11.26 10.10 8.13 5.10 11.13 9.26 7 6.47 5 x3 10 8 13 9 11 14 64 4 12 y3 9.46 8.77 14.74 9.11 9.81 10.84 8.08 7.39 x4 7 8.42 7.73 7 7 7 7 7 7 7 10.15 7 7 18 y4 8.58 7.76 9.71 10.84 10.47 9.04 7.25 7.56 9.91 8.89 14.50
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