Question

If two random variables x and y of a bivariate distribution are connected by the relationship $3 x + 2 y = 4$ , then correlation coefficient $r _ { x y }$ equals

• A. 1
• B. – 1
• C. 2/3
• D. – 2/3

Answer 1

Answer: (B)

– 1

Answer 2

Here, $y = \frac { - 3 } { 2 } x + 2$

Since $x$ and $y$ are related linearly and slope of the relation is – ve, the two variables are in perfect indirect correlation. Hence $r _ { x y } = - 1$ .