A research conducts a study to identify the relationship between variable A and Variable B. The data collected from a random sample is presented in Table 2 Subject Dependent Variable Independent Variable (variable A) (variable B) 1 23.5 19.6 2 21.5 24.7 3 17.5 16.9 4 45.6 22.1 5 32.1 26.4 61.0 55.2 7 15.9 21.5 22.6 77.2 9 34.5 35.8 10 22.1 23.9 11 26.4 23.7 12 23.5 24.2 13 59.9 60.5 14 45.7 46.0 15 43.2 44.1 16 28.4 29.3 17 54.8 55.9 18 37.4 23.5 19 42.3 59.9 20 32.1 45.7 a. What is the suitable correlation test for analyzing the data? b. Analyze the data by using the calculation method. What percentage of the variance in variable A is influenced by Variable B? Explain your answer. c. Report the results of the analysis

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter4: Writing Linear Equations
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A research conducts a study to identify the relationship between variable A and Variable B. The data
collected from a random sample is presented in Table 2
Subject
Dependent Variable
Independent Variable
(variable A)
(variable B)
1
23.5
19.6
2
21.5
24.7
3
17.5
16.9
4
45.6
22.1
32.1
26.4
6
61.0
55.2
7
15.9
21.5
8
22.6
77.2
9.
34.5
35.8
10
22.1
23.9
11
26.4
23.7
12
23.5
24.2
13
59.9
60.5
14
45.7
46.0
15
43.2
44.1
16
28.4
29.3
17
54.8
55.9
18
37.4
23.5
19
42.3
59.9
20
32.1
45.7
a. What is the suitable correlation test for analyzing the data?
b. Analyze the data by using the calculation method. What percentage of the variance in variable A is
influenced by Variable B? Explain your answer.
c. Report the results of the analysis
Transcribed Image Text:A research conducts a study to identify the relationship between variable A and Variable B. The data collected from a random sample is presented in Table 2 Subject Dependent Variable Independent Variable (variable A) (variable B) 1 23.5 19.6 2 21.5 24.7 3 17.5 16.9 4 45.6 22.1 32.1 26.4 6 61.0 55.2 7 15.9 21.5 8 22.6 77.2 9. 34.5 35.8 10 22.1 23.9 11 26.4 23.7 12 23.5 24.2 13 59.9 60.5 14 45.7 46.0 15 43.2 44.1 16 28.4 29.3 17 54.8 55.9 18 37.4 23.5 19 42.3 59.9 20 32.1 45.7 a. What is the suitable correlation test for analyzing the data? b. Analyze the data by using the calculation method. What percentage of the variance in variable A is influenced by Variable B? Explain your answer. c. Report the results of the analysis
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