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Maths-

General

Easy

Question

The coefficients of correlation between the heights (in inches) of fathers and sons from the following data will be

0.60
– 0.60
– 0.67
0.67

The correct answer is: 0.67

Here, $v a rightwards arrow over short leftwards arrow r left parenthesis y right parenthesis equals 16$

Hence, $r subscript x y end subscript equals fraction numerator sum left parenthesis x minus stack x with ̄ on top right parenthesis left parenthesis y minus stack y with ̄ on top right parenthesis over denominator square root of sum left parenthesis x minus stack x with ̄ on top right parenthesis to the power of 2 end exponent sum left parenthesis y minus stack y with ̄ on top right parenthesis to the power of 2 end exponent end root end fraction equals fraction numerator 20 over denominator square root of left parenthesis 28 right parenthesis left parenthesis 32 right parenthesis end root end fraction equals 0.67$ .

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