Q. If the two lines of regression are $4x + 3y + 7 = 0\$and $3x + 4y + 8 = 0,$then the means of $x$ and $y$ are
A) $\frac{- 4}{7},\frac{- 11}{7}$
B) $\frac{- 4}{7},\frac{11}{7}$
C) $\frac{4}{7},\frac{- 11}{7}$
D) 4,7
Explanation
(a)
We have, $4\overline{x} + 3\overline{y} + 7 = 0\ \ldots(i)$
And $3\overline{x} + 4\overline{y} + 8$=0 ….(ii)
On solving Eqs.(i) and (ii), we get
$\overline{x} = - \frac{4}{7}and\ \overline{y} = - \frac{11}{7}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.