Question

Let $X$ and $Y$ be two related variables. The two regression lines are given by $x-y+1=0$ and $2x-y+4=0$. The two regression lines pass through the point:

• A. $(-4,-3)$
• B. $(-6,-5)$
• C. $(3,-2)$
• D. $(-3,-2)$

Answer 1

The correct option is D $(-3,-2)$

$x-y+1=0$ ......... $\left(i\right)$

$2x-y+4=0$ ........ $\left(ii\right)$
Subtracting equation $\left(i\right)$ from $\left(ii\right)$, we have

$x+3=0\Rightarrow x=-3$
Putting $x=-3$ in equation $\left(i\right)$ we get $y=-2$
So option D is true