The coefficient of correlation is the ______ of coefficients of regression.

This question was previously asked in
SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)
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  1. Reciprocal of product.
  2. Arithmetic mean.
  3. Geometric mean.
  4. Harmonic mean.

Answer (Detailed Solution Below)

Option 3 : Geometric mean.
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Explanation

The regression coefficient of  X on Y = bxy

⇒ ∑xy/∑y2

The regression coefficient Y on X = byx

⇒ ∑xy/x2

Correlation coefficient is denoted by r

⇒ r = √(bxy ⋅b yx)

The coefficient of correlation is the Geometric mean of the correlation coefficients.

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