Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals
A) 3.41.
B) 3.63.
C) 5.74.
D) 3.81.

Question

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations.  ​ The F value obtained from the table which is used to test if there is a relationship among the variables at the 1% level equals
A) 3.41. 
B) 3.63. 
C) 5.74. 
D) 3.81.

Quizplus · Accepted Answer

The F value given in the output is not provided, so we cannot take it into consideration. However, we are given that there are multiple variables in the regression analysis, and the sample size is 16. The F value is used to test if at least one of the independent variables has a significant relationship with the dependent variable. With a sample size of 16, the degrees of freedom for the numerator would be the number of independent variables (p) and the degrees of freedom for the denominator would be n - p - 1. At the 1% level of significance, the critical value for F with p=2 and n-p-1=12 degrees of freedom would be 5.74. Therefore, the answer is C.

Below You Are Given a Partial Computer Output from a Multiple