Question

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

• A. $\frac{-1}{4}$
• B. $\frac{1}{4}$
• C. $\frac{1}{3}$
• D. $\frac{-1}{3}$

Answer 1

The correct option is A $\frac{-1}{4}$

To find given regression equations such that the coefficient of dependant variable is less than one in at least one equation,

$x+4y=9\Rightarrow y=\frac{9}{4}-\frac{x}{4}=\frac{9}{4}+\left(\frac{-1}{4}\right)x$

That is $b_{yx}=\frac{-1}{4}$