Question

The coefficient of correlation is the ______ of coefficients of regression.
1. Reciprocal of product.
2. Arithmetic mean.
3. Geometric mean.
4. Harmonic mean.

Answer 1

Correct Answer - Option 3 : Geometric mean.

Explanation

The regression coefficient X on Y = b_xy

⇒ ∑xy/∑y²

The regression coefficient Y on X = b_yx

⇒ ∑xy/x²

Correlation coefficient is denotted by r

⇒ r = √(b_xy + b_yx)

∴ The coefficient of correlation is the Geometric mean of the correlation coefficient