Question

From the following data of the age of Husband (x) and the age of the wife (x) obtain the regression equation of y on x and calculate the wife’s age (y). When husband’s age(x 0’s 25 years.

Answer 1

Regression equation y on x is (y – ȳ) = b_yx (x – x̄) Here x and y variables Arithmetic means are not in whole numbers/ integers. So, it is better to use shortcut method.

Regression equation of y on x is:

y – 24.8 = 1.35 (x – 32)

y -24.8 = 1.35x – 1.35 × 32

y = 1.35x- 43.2 + 24.8

∴ y = 1.35x – 18.4

Estimation of (y) wife’s age when husbands age (x) is 25:

y = 1.35 (25) – 18.4 = 33.75 – 18.4

y = 15.35 years.