If x̄ = 30, ȳ = 20 and b = 0.6, find the intercept of the regressio

1.	If x̄ = 30, ȳ = 20 and b = 0.6, find the intercept of the regression line of Y on X and write equation of the line.
Answer» X̄ = 30, ȳ = 20, b = 0.6 Intercept a = ȳ – bx̄ ∴ a = 20 – 0.6(30) = 20 – 18 = 2 Putting a = 2 and b = 0.6 in ŷ = a + bx, the equation of the regression line obtained is ŷ = 2 + 0.6x.

If x̄ = 30, ȳ = 20 and b = 0.6, find the intercept of the regression line of Y on X and write equation of the line.

Answer»

X̄ = 30, ȳ = 20, b = 0.6

Intercept a = ȳ – bx̄

∴ a = 20 – 0.6(30) = 20 – 18 = 2

Putting a = 2 and b = 0.6 in ŷ = a + bx,

the equation of the regression line obtained is ŷ = 2 + 0.6x.