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Question

For the given data, the calculation corresponding to all value of pairs (x,y) is following (x-x¯)2=36,(y-y¯)2=25,(x-x¯)(y-y¯)=20. Then the Karl Pearson’s correlation coefficient is


A

0.2

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B

0.5

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C

0.66

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D

0.33

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Solution

The correct option is C

0.66


Explanation for correct option:

Given,

(x-x¯)2=36,(y-y¯)2=25,(x-x¯)(y-y¯)=20

Karl Pearson relation.

r(x,y)=(x-x¯)(y-y¯)(x-x¯)2×(y-y¯)2Putallthevaluer(x,y)=2036×25r(x,y)=205×6r(x,y)=23r(x,y)=0.66

Hence, correct option is (C).


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