Question

The two lines of expression for a distribution (x,y) are 3x+2y=7 and x+4y=9. Find the regression coefficient $b_{xy}$.

• A. $\frac{-2}{3}$
• B. $\frac{2}{3}$
• C. $\frac{-1}{3}$
• D. $\frac{-5}{3}$

Answer 1

The correct option is A $\frac{-2}{3}$

$byx=-\frac{1}{4}bxy=-\frac{2}{3}r=\sqrt{byx\times bxy}\times \sqrt{\frac{1}{4}\times \frac{2}{3}}=\sqrt{\frac{1}{6}}<1$

Hence value of $byx$ and $bxy$ is positive.