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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}

question 54

Essay

A regression model involving 3 independent variables for a sample of 20 observations resulted in the following sum of squares.  Sum of Squares  Regression 90 Residual (Error) 100\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.


Definitions:

Efficiency

The capacity to complete a task using the least amount of time and resources possible.

Maximum Cycle Time

The longest allowable period for completing a cycle or process from start to finish.

Efficiency

The ratio of useful output to total input, indicating the effectiveness with which resources are converted into outputs.

Network Diagram

A graphical representation of tasks, activities, or projects showing their sequential relationships and dependencies.

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