the regression of x on y is x+2y-5=0 then the value of bxy is ?
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For the given lines of regression, 3x−2y=5 and x−4y=7, find:
regression coefficients b
yx
and b
xy
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The two regression lines are
3x−2y=5....(1)
x−4y=7....(2)
From equation (1) 3x−2y=5
3x=2y+5
x=
3
2
y+
3
5
∴b
xy
=
3
2
(Regression of x on y)
From equation (2) x−4y=7
4y=x−7
y=
4
x
−
4
7
∴b
yx
=
4
1
(Regression of y and x)
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