Question

find the coefficient of the correlation between X and Y.
X 65 66 67 67 68 69 70 72
Y 67 68 65 68 72 72 69 71​

Answer 1

Answer:

Explanation:

Solution

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X

ˉ

=  

n

∑X

​

=  

8

544

​

=68

Y

ˉ

=  

n

∑Y

​

=  

8

552

​

=69

X  Y x=X−  

X

ˉ

  y=Y−  

Y

ˉ

 x  

2

   y  

2

 xy  

65  67  −3  −2  9  4  6

66  68  −2  −1  4  1  2

67  65  −1  −4  1  16 4

67  68  −1  −1  1  1  1

68  72  0  3  0  9  0

69  72  1  3 1   9  3

70  69  2  0  4 0   0

72  71  4  2  16  4  8

544  552  0  0  36  44  24

We know that

r(X,Y)=  

∑x  

2

 

​

 

∑y  

2

 

​

 

∑xy

​

 

r(X,Y)=  

36

​

 

44

​

 

24

​

 

r(X,Y)=0.603

Hence, this is the answer