Sum

For a bivariate data,

`bar x = 53 , bar y = 28 , "b"_"xy" = - 0.2` , `"b"_"yx" = -1.5` Find

Estimate of Y , When X = 50.

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#### Solution

Equation of regression of y on x is

`"Y" - bar y = "b"_"yx" ("X" - bar x)`

Y - 28 = - 1.5 (X - 53)

Y = - 1.5 X + 79.5 + 28

when X = 50 ,

Y = - 1.5 (50) + 107.5

Y = - 75 + 107.5

Y = 32.5

∴ Estimate of Y when X = 50 is 32.5

Concept: Regression Coefficient of X on Y and Y on X

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