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Coefficient of correlation between x and y is symmetric, meaning
Ar(x, y) = -r(y, x)
Br is always zero
Cr is always positive
Dr(x, y) = r(y, x)
Answer & Solution
Correct answer: D. r(x, y) = r(y, x)
1. The Pearson formula has Sxy symmetric: cov(x, y) = cov(y, x).
2. Sx and Sy enter symmetrically in the denominator.
3. So r(x, y) equals r(y, x).
4. Hence correlation is symmetric.
_Source: ICAI BoS Foundation Paper 3, Ch 17 'Correlation', p.4_
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