When we say that the coefficient of determination for a test is 0.89,it means:
A)89% of the persons who took the test have scores significantly different from each other
B)89% of the persons who took the test have no significant differences in their test scores
C)89% of the variance in test scores among the persons who took the test is due to true variance
D)11% of the variance in test scores among persons who took the test is due to true variance
E)only 11% of the true score is being measured

Question

Quizplus · Accepted Answer

The coefficient of determination, also known as R-squared, measures the proportion of variance in the dependent variable (test scores) that can be explained by the independent variable (true variance). A coefficient of determination of 0.89 means that 89% of the variance in test scores among the persons who took the test is due to true variance. Therefore, option C is the correct answer as it correctly interprets the R-squared value.

When We Say That the Coefficient of Determination for a Test