Question

Error Degrees of Freedom are calculated as n - p−1 for multiple regression models. The p represents the number of coefficients (not including the intercept) in the estimated model. Assume 155 observations are used to estimate a model with 2 numerical explanatory variables both with a linear relationship to the response. In addition there is one categorical variable with 3 levels and another categorical variable with 5 levels. Report the Error Degrees of Freedom.

Answer 1

The error degrees of freedom for a multiple regression model can be calculated as n - p - 1, where n is the number of observations and p is the number of coefficients in the model (excluding the intercept). In this case, the error degrees of freedom is 144.

Step-by-step explanation:

The error degrees of freedom for a multiple regression model can be calculated as n - p - 1, where n is the number of observations and p is the number of coefficients in the model (excluding the intercept).

In this case, there are 155 observations and the model has 2 numerical explanatory variables, both with a linear relationship to the response, as well as 1 categorical variable with 3 levels and another categorical variable with 5 levels.

To determine the error degrees of freedom, we need to subtract the number of coefficients (excluding the intercept) from the total number of observations: 155 - 2 - 3 - 5 - 1 = 144.