Question

From the equation of the two regression lines, $4x+3y+7=0$ and $3x+4y+8=0$, find: Mean of x and y.

Answer 1

The equations of the two lines of regression are
$4x+3y+7=0$ ..... (i)
$3x+4y+8=0$ ..... (ii)
Solving (i) and (ii) simultaneously, we get,
$x=-4/7$ and $y=-11/7$
Hence $\overline{x}=-4/7$ and $\overline{y}=-11/7$