Question

(b) Compute

R_a².

The adjusted multiple coefficient of determination is denoted by

R_a².

This adjusted value takes into consideration the number of independent variables used in the model. It is calculated as follows using the multiple coefficient of determination R² where n is the number of observations and p is the number of independent variables. Note that it is possible for

R_a²

to take on negative values.

R_a² = 1 − (1 − R²)

n − 1

n − p − 1

The estimated regression equation given below was constructed from 30 observations, so

n = .

ŷ = 17.6 + 3.8x₁ − 2.3x₂ + 7.6x₃ + 2.7x₄

The independent variables are denoted by x_i. This equation has independent variables, so

p =

Answer 1

n = 30

p = 4

Adjusted R Square, R²a = 1 - (1-R²)*(N-1)/(N-p-1)