Question

If two lines of regression are $8x - 10y + 66 = 0$ and

$40x - 18y = 214$, then $(\bar{x},\bar{y})$ is

• A. (17, 13)
• B. (13, 17)
• C. (– 17, 13)
• D. (– 13, – 17)

Answer 1

Answer: (B)

(13, 17)

Answer 2

Since lines of regression pass through $(\bar{x},\bar{y})$, hence the equation will be $8\bar{x} - 10\bar{y} + 66 = 0$ and $40\bar{x} - 18\bar{y} = 214$

On solving the above equations, we get the required answer $\bar{x} = 13,\bar{y} = 17$.`