If r = 0.8, b_xy = 0.32, then what will be the value of b_yx.

Question

Question

Answer 1

CONCEPT:

Correlation coefficient is the geometric mean between regression coefficients i.e.,

\({\rm{r}} = \pm \sqrt {{{\rm{b}}_{{\rm{yx}}}}{{\rm{b}}_{{\rm{xy}}}}} \)

CALCULATIONS:

\({\rm{r}} = \pm \sqrt {{{\rm{b}}_{{\rm{yx}}}}{{\rm{b}}_{{\rm{xy}}}}} \)

\(0.8 = \pm \sqrt {{{\rm{b}}_{{\rm{yx}}}} \times 0.32} \) (On squaring both the sides)

\({{\rm{b}}_{{\rm{yx}}}} = \frac{{0.64}}{{0.32}} = 2\)