In order to test for the significance of a regression model involving 3 independent variables and 47 observations, the numerator and denominator degrees of freedom (respectively) for the critical value of F are

A) 47 and 3.
B) 3 and 47.
C) 2 and 43.
D) 3 and 43.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution.

Significance

A measure of how likely it is that an obtained result could have occurred by chance.

Independent Variables

Variables in an experiment or model that are manipulated or controlled to test their effects on dependent variables.