Question

From the following data compute the coefficient of correlation between X & Y.


X series

Y series

Arithmetic mean 

25

18

Square of deviation from AM

136

138

Summation of products of deviations of X & Y series from their respective means= 122  , No of pairs of value is 15
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Answer 1

Answer:

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Explanation:

Answer 2

Answer:

Given:

X=25      Σx²=136      Σxy=122  

Y=18       Σy²=138       n=15

Now,

r = Σxy/(√Σx² × √Σy²)

r = 122/(√136 × √138) = 122/ √(136×138) = 122/ (11.66×11.74)

r = 122/136.996 = 0.89

Thus, the product moment correlation between X and Y is 0.89.