The following is a set of data from a sample of n =11items Complete parts​ (a) through left parenthesis c right parenthesis . X 6 36 27 54 21 39 24 9 39 39 33 Y 2 12 9 18 7 13 8 3 13 13 11 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.   A. X and Y have no correlation.   B. X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope.   C. X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope.   D. X and Y have a strong positive correlation because as X​ increases, Y tends to increase also.

Financial Management: Theory & Practice
16th Edition
ISBN:9781337909730
Author:Brigham
Publisher:Brigham
Chapter25: Portfolio Theory And Asset Pricing Models
Section: Chapter Questions
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The following is a set of data from a sample of

n =11items

Complete parts​ (a) through left parenthesis c right parenthesis .

X
6
36
27
54
21
39
24
9
39
39
33
Y
2
12
9
18
7
13
8
3
13
13
11
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.
 
A.
X and Y have no correlation.
 
B.
X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope.
 
C.
X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope.
 
D.
X and Y have a strong positive correlation because as X​ increases, Y tends to increase also.
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