Question

For a bivariate data, 

`bar x = 53 , bar y = 28 , "b"_"yx"=-1.5 and "b"_"xy"=- 0.2` Find Estimate of X for y = 25. 

Answer 1

Estimate of X for y = = 25. 

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

X - 53 = - 0.2 (Y - 28)

X - 53 = -0.2 Y + 5.6

X = - 0.2 Y + 5.6 + 53

X = - 0.2 Y + 58.6

When Y = 25,

X = - 0.2(25) + 58.6

∴ X = 53.6

∴ Estimate of X when Y = 25 is 53.6.