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Question

The ages of 5 husbands and their wives are tabulated below. Find the correlation coefficient for their ages.

Husbands age (X)Wifes age (Y)24212828322836344039


A

0.75

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B

0.86

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C

0.97

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D

0.99

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Solution

The correct option is C

0.97


xyx¯x(x¯x)2(y¯y)(y¯y)2(x¯x)(y¯y)2421864981722828416248322800240363441641616403986498172=160=186=168

¯x=xn=1605=32
¯y=yn=1505=30

M=ni=1(xi¯x)(yi¯y)ni=1(xi¯x)2ni=1(yi¯y)2=168160×186=168172.5=0.97


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