question related to Regression analysis.. find byx and bxy from the regression equations 4y=9x + 15 and 25x=6y + 7. after arranging and converting the equations to the standard form Y= a + byx.X and
X = a' + bxy.Y , how do i know which equation is which? i.e. which equation is for byx and bxy?

Question

question related to Regression analysis.. find byx and bxy  from the regression equations 4y=9x + 15 and 25x=6y + 7. after arranging and converting the equations to the standard form Y= a + byx.X and 
X = a' + bxy.Y  , how do i know which equation is which? i.e. which equation is for byx and bxy?

ranga · Answer

Since the first equation is given as 4y=9x + 15   you can make the assumption this is the y on x equation  and the 25x=6y + 7 as the x on y and state the assumptions in your answer.

anonymous · Answer

how can i be sure if my assumption is correct? what do i do if my assumed byx.bxy is more than 1?

ranga · Answer

Perhaps that will be a clue to reverse the assumption?

anonymous · Answer

ok got it! thanks byx=9/4 and bxy=6/25. which gives me Correlation(x,y)= bxy.byx = 0.54

ranga · Answer

yw.

ranga · Answer

Isn't the coefficient of correlation square root of bxy.byx?
r = sqrt(0.54) = 0.73 ?