A regression model involving 3 independent variables for a sample of 20 observations resulted in the following sum of squares. $$\begin{array}{l}
&\text { Sum of Squares }\
\text { Regression } & 90 \
\text { Residual (Error) } & 100
\end{array}$$
a.
Compute the multiple coefficient of determination and fully explain its meaning.
b.
At α = .05, test to determine whether or not there is a significant relationship between the independent variables and the dependent variable.

Question

A regression model involving 3 independent variables for a sample of 20 observations resulted in the following sum of squares. $$\begin{array}{l}
&\text { Sum of Squares }\
\text { Regression } & 90 \
\text { Residual (Error) } & 100
\end{array}$$ ​ 
a.
Compute the multiple coefficient of determination and fully explain its meaning.
b.
At α = .05, test to determine whether or not there is a significant relationship between the independent variables and the dependent variable.

Quizplus · Accepted Answer

The Answer of A regression model involving 3 independent variables for a sample of 20 observations resulted in the following sum of squares. $$\begin{array}{l}
&\text { Sum of Squares }\
\text { Regression } & 90 \
\text { Residual (Error) } & 100
\end{array}$$ ​ 
a.
Compute the multiple coefficient of determination and fully explain its meaning.
b.
At α = .05, test to determine whether or not there is a significant relationship between the independent variables and the dependent variable.

A Regression Model Involving 3 Independent Variables for a Sample Sum of Squares Regression 90 Residual (Error) 100\begin{array}{l}&\text { Sum of Squares }\\\text { Regression } & 90 \\\text { Residual (Error) } & 100\end{array} Regression Residual (Error) ​ Sum of Squares 90100​

A Regression Model Involving 3 Independent Variables for a Sample $\begin{array}{l}&\text { Sum of Squares }\\\text { Regression } & 90 \\\text { Residual (Error) } & 100\end{array}$