Which of the following is not true about the coefficient of determination, r2?
A)The coefficient of determination, r2, ranges from 0% to 100% and represents the amount of variability in the response variable explained by the regression line.
B)In order to interpret the coefficient of determination, r2, the linearity condition of the linear regression model must be satisfied.
C)A hypothesis test should be conducted to verify that the coefficient of variation, r2, is large enough to conclude a linear relationship exists.
D)The coefficient of determination, r 2, is a statistic that will give some information about how well the data fit the model, but it should not be the only piece of information taken into consideration
When determining how useful a linear model might be.

Question

Quizplus · Accepted Answer

The coefficient of determination, $r^2$, does not require a hypothesis test to verify its significance for concluding a linear relationship. Instead, $r^2$ quantifies the proportion of the variance in the dependent variable that is predictable from the independent variable(s), and its significance is typically assessed through the overall F-test in the context of regression analysis.

Which of the Following Is Not True About the Coefficient