Question

Given are five observations for two variables, x and y.

xi	1	2	3	4	5
yi	2	8	6	11	13

a) Develop the estimated regression equation by computing the values of b₀ and b₁ using b₁ =

Σ(x_i − x)(y_i − y)

Σ(x_i − x)²

and b₀ = y − b₁x.

ŷ =?

b) Use the estimated regression equation to predict the value of y when

x = 2.

Answer 1

The statistical software output for this problem is:

Hence,

a) Regression equation:

y = 0.5 + 2.5x

b) Estimated regression value = 0.5 + 2.5*2 = 5.5