Question

From the following data:

(a) Calcualte the regression equation of x on y.

(b) Estimate the value of x when y = 40.

Answer 1

Regression equation x on y is :

(x – x̄) = bxy (y – ȳ)

Here, x and y variables have their Arithmetic means with whole number / integers. So, it is convenient to use actual mean method.

(a) Regression equation of x on y is

x – 28 = 10-16

x = y- 16 + 28

∴ x = y + 12

(b) Estimation of x when y = 40

x = 40 + 12 = 52