Asked by Jacquelyn Marie on Jun 24, 2024

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A multiple regression equation includes 5 independent variables, and the coefficient of determination is 0.81. The percentage of the variation in y that is explained by the regression equation is:

A) 81%
B) 90%
C) 86%
D) 85%
E) about 16%

Coefficient Of Determination

A statistical measure, often denoted as R², that represents the proportion of the variance for a dependent variable that's explained by an independent variable or variables in a regression model.

Independent Variables

Elements in research or a scenario that are altered or sorted to explore their influence on response variables.

Regression Equation

An equation that expresses the linear relationship between one or more independent variables and a dependent variable.

  • Comprehend the meaning and explanation of the coefficient of multiple determination.
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JS
Jagteshwar SinghJun 25, 2024
Final Answer :
A
Explanation :
The coefficient of determination (r-squared) measures the proportion of the variance in the dependent variable (y) that is explained by the independent variables in the regression equation. Therefore, if r-squared = 0.81, it means that 81% of the variation in y is explained by the regression equation, and the best choice is A).