Question

The mean value of the series (data's) of x & y, whose regression lines are $2x+3y=5$ & $3x+4y=7$ is

• A. $\overline{x}=1=\overline{y}$
• B. $\overline{x}=2,\overline{y}=1$
• C. $\overline{x}=1,\overline{y}=2$
• D. None of these.

Answer 1

The correct option is A $\overline{x}=1=\overline{y}$

The point of intersection of the two regression lines is the mean of the data's, so solving the equations $2x+3y=5$ & $3x+4y=7$, we get $\overline{x}=1$, $\overline{y}=1$