given the following equations:
2x-3y=10
3x=4y=15
which one of the regression equation x on y?
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3 answers
None of these
Assume that 1st equation is x on y
And 2nd y on x then
bxy=3/2 and byx=-3/4
And if we assume 1st equation is y on x and 2nd as x on y then
byx=2/3 and byx=-4/3
Sign of bxy and byx are opposite in both the cases.
But by property,
sign of bxy and byx should b same
And as these equation are not following property , there is no correlation between these lines
As there is no correlation between them there is no line which can b called as x on y
Hence, ans. is none of these
And 2nd y on x then
bxy=3/2 and byx=-3/4
And if we assume 1st equation is y on x and 2nd as x on y then
byx=2/3 and byx=-4/3
Sign of bxy and byx are opposite in both the cases.
But by property,
sign of bxy and byx should b same
And as these equation are not following property , there is no correlation between these lines
As there is no correlation between them there is no line which can b called as x on y
Hence, ans. is none of these
none of these