Question

If the two lines of regression are 9 x + y - a = 0 and 4 x + y = b and arithmetic mean of x
and y are 2 and 3 respectively then the values of "a" and "b" are​

Answer 1

Answer:

Answer

Since the two lines of regression interest at the point

( X

ˉ , Y

ˉ )

Replace x and y by

X

ˉ

and

Y

ˉ

respectively in the given regression equations.

We get,

7 X

ˉ −

3 Y

ˉ −

18= 0

4 X

ˉ −

Y

ˉ−

11=

0

Solving these equations, we get

X

ˉ=

3

and

Y

ˉ=

1

Thus the arithmetic mean of x and y is given by 3 and 1 respectively.