Question

what are the hypotheseses for the global test of the multiple regression model with three independent variables

Answer 1

Explanation:

For a multiple regression model with 3 independent variables,

Y = A0 + A1X1 + A2X2 + A3X3

The hypotheses for the global test of a multiple regression model are:

Null hypothesis H0: there is no relationship between the slopes - A1, A2, A3 - and the outcome. A1, A2, A3 = 0; R^2 = 0

Alternative hypothesis H1: there is a relationship between at least one of the slopes and the outcome. One of A1, A2, A3 is not equal to zero. R^2 is not equal to zero.