Question

Two lines of regression are given by x+2y=5 and 2x +3y=8 Calculate mean value of x and the coffiecient of corelation

Answer 1

x+2y=5 -equation1

2x+3y=8. -equation2

= multiply equation 1 by 2

2(x+2y=5)

2x+4y=20. -equation 3

now, add equation 2&3

2x+3y=8

2x+4y=20. add both.

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7y=28

y=28

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7

(y=4)

put y=4 in equation 1

x+2y=5

x+2(4)=5

x+8=5

x=5-8

(x= -3)

: (x, y) =(-3,4)