The following is a set of data from a sample of n = 11 items. Complete parts (a) through (c). 1 14 13 15 16 12 10 19 Y 28 26 8 30 32 24 20 38 2 a. Compute the covariance. (Round to three decimal places as needed.) b. Compute the coefficient of correlation. (Do not round until the final answer. Then round to three decimal places as needed.) c. How strong is the relationship between X and Y? Explain. O A. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope. O B. X and Y have a strong positive correlation because as X increases, Y tends to increase also. O C. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope. O D. X and Y have no correlation. 124

Essentials of Business Analytics (MindTap Course List)
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Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
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The following is a set of data from a sample of n= 11 items. Complete parts (a) through (c).
14
13
4
15
3
16
12
10
19
1
Y
28
26
8
30
6
32
24
20
38
2
a. Compute the covariance.
|(Round to three decimal places as needed.)
b. Compute the coefficient of correlation.
(Do not round until the final answer. Then round to three decimal places as needed.)
c. How strong is the relationship between X and Y? Explain.
O A. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope.
B. X and Y have a strong positive correlation because as X increases, Y tends to increase also.
C. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope.
D. X and Y have no correlation.
124
Transcribed Image Text:The following is a set of data from a sample of n= 11 items. Complete parts (a) through (c). 14 13 4 15 3 16 12 10 19 1 Y 28 26 8 30 6 32 24 20 38 2 a. Compute the covariance. |(Round to three decimal places as needed.) b. Compute the coefficient of correlation. (Do not round until the final answer. Then round to three decimal places as needed.) c. How strong is the relationship between X and Y? Explain. O A. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope. B. X and Y have a strong positive correlation because as X increases, Y tends to increase also. C. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope. D. X and Y have no correlation. 124
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