calculate the coefficient of correlation between x and y and comment on their relationship :
x  :  -3  -2  -1  1  2  3
y  :   9   4   1   1 4   9
 

Dear Student,

Please find the solution to this question.
 

X

Y

x = X -X¯
 

x2

y = Y -Y¯

y2

xy

-3

9

-3

9

4.33

18.75

-12.99

-2

4

-2

4

-0.66

0.44

1.32

-1

1

-1

1

-3.66

13.40

3.66

1

1

1

1

-3.66

13.40

-3.66

2

4

2

4

-0.66

0.44

-1.32

3

9

3

9

4.33

18.75

12.99

 

 

 

 

 

 

 

ΣX = 0

ΣY = 28

 

Σx2 = 28

 

Σy2 = 65.18

Σxy = 0


X¯=XN=06=0Y¯=YN=286= 4.66

Karl Pearson's Coefficient of Correlationr=xyx2 ×y2 = 028 ×65.18=0

Since, r =0. Therefore, we can say that there is no co-relation between X and Y.

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