Question

A multiple regression model using 200 data points (with three independent variables) has how many degrees of freedom for testing the statistical significance of individual slope coefficients?
196
199
198

Answer 1

Answer:

196

Step-by-step explanation:

Formula of degree of freedom for simple regression = n-2

Formula of degree of freedom for multiple regression = n-k-1

We are given the case of multiple regression and there are three independent variables.

So, k = 3

n = 200

So, Degree of freedom for multiple regression =$n-k-1$

                                                                              = $200-3-1$

                                                                              = $196$

So, Option A is true .

Hence degrees of freedom for testing the statistical significance of individual slope coefficients is 196