A Regression Equation Is Obtained for a Collection of Paired

question 106

Multiple Choice

A regression equation is obtained for a collection of paired data. It is found that the total variation is 25.753, the explained variation is 18.658, and the unexplained variation is 7.095. Find the coefficient of determination.

• A)0.724
• B)1.380
• C)0.380
• D)0.276

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Definitions:

Independent Variables

Variables in an experiment or model that are manipulated or controlled by the researcher to investigate their effect on dependent variables.

Dependent Variables

Variables in an experiment or model that are expected to change in response to changes in independent variables.

Intercept

In the context of a regression line, it is the expected value of the dependent variable when all independent variables are zero.

Slope

In the context of linear regression, the coefficient indicating the rate of change in the dependent variable for one unit change in an independent variable.