Question

The two variables x and y have the regression lines 8x-10y+66=0 and 40x-18y-214=0. find the mean values of x and y

Answer 1

this is ur required result

Answer 2

Given,

Equation of 2 lines:

8x-10y+66=0

40x-18y-214=0

To Find,

Value of x and y =?

Solution,
Let   8x-10y+66=0  be equation 1

and 40x-18y-214=0 be equation 2

Multiplying equation 1 by 5 and subtracting it from equation 2, we get

40x - 18y - 214 - 5*( 8x-10y+66) = 0

40x - 18y -214 -  40x + 50y - 330 = 0

0x - 18y + 50y - 214 - 330 = 0

32y - 544 = 0

32y = 544

y = 544/32

y = 17

Value of y = 17

Putting value of y in equation 1 , we get

8x - 10(17) + 66 =0

8x - 170 + 66 =0

8x - 104 = 0

8x = 104

x = 104/8

x = 13

Hence, the value of x and y are 13 and 17 respectively.