Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. $$\begin{array}{l}
\begin{array} { l l }
\text { Coefficients } & \text { Standard Error } \
12.924 & 4.425 \
- 3.682 & 2.630 \
45.216 & 12.560
\end{array}\
\text { Analysis of Variance }\
\begin{array} { l l l l l }
\text { Source of } & \text { Degrees of } & \text { Sum of } & \text { Mean } \
\text { Variation } & \text { Freedom } & \text { Squares } & \text { Square }
\end{array} \quad F
\end{array}$$
Carry out the test to determine if there is a relationship among the variables at the 5% level.The null hypothesis should
A) be rejected.
B) not be rejected.
C) be revised to test for multicollinearity.
D) test for individual significance instead.

Question

Below you are given a partial computer output from a multiple regression analysis based on a sample of 16 observations. $$\begin{array}{l}
\begin{array} { l l } 
\text { Coefficients } & \text { Standard Error } \
12.924 & 4.425 \
- 3.682 & 2.630 \
45.216 & 12.560
\end{array}\
\text { Analysis of Variance }\
\begin{array} { l l l l l } 
\text { Source of } & \text { Degrees of } & \text { Sum of } & \text { Mean } \
\text { Variation } & \text { Freedom } & \text { Squares } & \text { Square }
\end{array} \quad F
\end{array}$$ 
Carry out the test to determine if there is a relationship among the variables at the 5% level.The null hypothesis should
A) be rejected.
B) not be rejected.
C) be revised to test for multicollinearity.
D) test for individual significance instead.

Quizplus · Accepted Answer

The F-test in the analysis of variance table is used to determine if there is a significant relationship among the variables. If the calculated F-value is greater than the critical F-value at the 5% significance level, the null hypothesis of no relationship is rejected.

Below You Are Given a Partial Computer Output from a Multiple