Asked by misser focks on Jun 15, 2024
Verified
The coefficient of determination is the percentage of variance in one variable that ______.
A) is accounted for by the variance in the other variable
B) matters only when the other variable is constant
C) equals the square root of the Pearson's product-moment correlation coefficient
D) can be determined by taking the square root of the phi coefficient
Coefficient of Determination
A measure, often represented as R^2, that quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable(s).
Variance
A measure of how far individual numbers in a dataset are from the mean, squared.
- Recognize the application and interpretation of the coefficient of determination.
Verified Answer
AS
Andrew StuhlJun 20, 2024
Final Answer :
A
Explanation :
The coefficient of determination, also known as R-squared, represents the proportion of variance in one variable that can be explained by the variance in the other variable. Therefore, option A is the correct choice. Option B is incorrect because the coefficient of determination is relevant regardless of whether the other variable is constant or not. Option C and D are also incorrect because neither the square root of the Pearson's product-moment correlation coefficient nor the phi coefficient can directly determine the coefficient of determination.
Learning Objectives
- Recognize the application and interpretation of the coefficient of determination.
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