The limit of multiple correlation coefficient R_1.23 are:

Question

Question

This question was previously asked in

SSC CGL JSO Tier-II, 2018 (Statistics) Official Paper-III (Held On: 14 Sept, 2019)

Answer 1

Formula

The general formula of multiple correlation coefficient

$R_{1}^{2} ._{2}_{3} = \frac{r_{12}^{2} + r_{13}^{2} - 2 r_{12} r_{13} r_{23}}{1 - r_{23}^{2}}$

Explanation:

Multiple correlation coefficient is a non-negative coefficient.

It is the value ranges between 0 and 1. It cannot assume a minus value.

If R_1.23 = 0 then r₁₂ = 0 and r₁₃ = 0

R_1.23 is the same as R_1.32