Suppose a multiple regression analysis involving 25 data points has and SSE = 36.Then,the number of the independent variables must be:
A)3
B)4
C)5

Question

Suppose a multiple regression analysis involving 25 data points has  and SSE = 36.Then,the number of the independent variables must be:
A)3 
B)4 
C)5

Quizplus · Accepted Answer

The number of independent variables can be calculated using the formula: 
Number of independent variables = (Total number of variables - 1) 
In this case, as the total number of variables is not given, we can assume that the number of independent variables plus the dependent variable (which is not included in the total number of independent variables) adds up to 25. 
So, we can write: Number of independent variables + Dependent variable = 25 
And, the formula becomes: 
Number of independent variables = (Total number of variables - 1) = (Number of independent variables + Dependent variable - 1) = Number of independent variables + 24 
So, we get: 24 = SSE / MSR = 36 / (25 - Number of independent variables - 1) 
Solving this equation, we get that the number of independent variables is 4.

Suppose a Multiple Regression Analysis Involving 25 Data Points Has