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

Question

Quizplus · Accepted Answer

A hypothesis test is not typically conducted to verify the size of $r^2$; rather, $r^2$ itself is a descriptive statistic that indicates the proportion of variance explained by the model.

Which of the Following Is Not True About the Coefficient r2r ^ { 2 }r2

Which of the Following Is Not True About the Coefficient $r ^ { 2 }$