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Question
Regression equation of X on Y is ______
Options
`"y" - bar "y" = "b"_"yx" ("x" - bar "x")`
`"x" - bar "x" = "b"_"xy" ("y" - bar "y")`
`"y" - bar "y" = "b"_"xy" ("x" - bar "x")`
`"x" - bar "x" = "b"_"yx" ("y" - bar "y")`
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Solution
Regression equation of X on Y is `bbunderline ("x" - bar "x" = "b"_"xy" ("y" - bar "y"))`
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Solution:
Given:`n=8,sum(x_i-barx)=36,sum(y_i-bary)^2=40,sum(x_i-barx)(y_i-bary)=24`
∴ `b_(yx)=(sum(x_i-barx)(y_i-bary))/(sum(x_i-barx)^2)=square`
∴ `b_(xy)=(sum(x_i-barx)(y_i-bary))/(sum(y_i-bary)^2)=square`
∴ regression equation of Y on :
`y-bary=b_(yx)(x-barx)` `y-bary=square(x-barx)`
`x-barx=b_(xy)(y-bary)` `x-barx=square(y-bary)`
