The following is a set of data from a sample of n=11 items. Complete parts​ (a) through (c).   X 19 8 12 10 9 2 15 17 16 20 4      Y 57 24 36 30 27 6 45 51 48 60 12       Question content area bottom Part 1 a. Compute the sample covariance.   enter your response here ​(Round to three decimal places as​ needed.) Part 2 b. Compute the coefficient of correlation.   r=enter your response here ​(Round to three decimal places as​ needed.) Part 3 c. How strong is the relationship between X and​ Y? Explain.     A. The variables X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope.   B. The variables X and Y have a strong positive correlation because as X​ increases, Y tends to increase also.   C. The variables X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope.   D. The variables X and Y have no correlation.

MATLAB: An Introduction with Applications
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The following is a set of data from a sample of
n=11
items. Complete parts​ (a) through (c).
 
X
19
8
12
10
9
2
15
17
16
20
4
    
Y
57
24
36
30
27
6
45
51
48
60
12
 
 
 

Question content area bottom

Part 1
a. Compute the sample covariance.
 
enter your response here
​(Round to three decimal places as​ needed.)
Part 2
b. Compute the coefficient of correlation.
 
r=enter your response here
​(Round to three decimal places as​ needed.)
Part 3
c. How strong is the relationship between X and​ Y? Explain.
 
 
A.
The variables X and Y have a perfect negative correlation because all points fall on a straight line with a negative slope.
 
B.
The variables X and Y have a strong positive correlation because as X​ increases, Y tends to increase also.
 
C.
The variables X and Y have a perfect positive correlation because all points fall on a straight line with a positive slope.
 
D.
The variables X and Y have no correlation.
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