Question

For a bivariate data $b_{YX}=-1.2$ and $b_{XY}=-0.3$, find the correlation coefficient between $x$ and $y$.

Answer 1

We know, correlation co efficient

$r=\sqrt{b_{XY}\times b_{YX}}$

$\therefore r=\sqrt{-1.2\times -0.3}$

$r=\sqrt{0.36}$

$r=-0.6$ (as $b_{XY},b_{YX}$ negative)

$\therefore$X and Y are negatively correlated with $r=-0.6$