Question

Calculate the two regression equations from the following bivariate table and determine y.

Answer 1

For Bivariate, both x and y variables having common differences. So use step deviation method:

Regression equation of x on y : (x – x̄) = b_xy (y – ȳ)

x – 25 = 0.256 (y – 19.8)

= 0.256y – 0.256 × 19.8x

=0.256y – 5.0688 + 25

∴ x = 0.256y + 19.9312

Regression equation of y on x = (y – ȳ) = b_xy (x – x̄)

y – 19.8 = 0.667(x – 25)

∴ = 0.6667x – 0.667 × 25

y = 0.6667x – 16.675 + 19.8

∴ y = 0.667x + 3.125