A professor runs a regression to see how students' exam scores (Y) are related to their homework
Grades ( $$\text { (X). The } R ^ { 2 } \text { of the regression is } 21 \% \text {. What does } R ^ { 2 } \text { tell us }$$
?
A) 21% of each student's exam grade will be determined by their homework grade.
B) Exam scores are not related to homework grades since 21% is greater than 5%.
C) none of these
D) 21% of students have their grades accurately predicted by the regression equation.
E) 21% of the variation in the exam scores is explained by the regression analysis.

Question

Quizplus · Accepted Answer

R² represents the proportion of the variance in the dependent variable (exam scores) that is predictable from the independent variable (homework grades). In this case, 21% of the variation in exam scores is explained by the regression model.

A Professor Runs a Regression to See How Students' Exam (X). The R2 of the regression is 21%. What does R2 tell us \text { (X). The } R ^ { 2 } \text { of the regression is } 21 \% \text {. What does } R ^ { 2 } \text { tell us } (X). The R2 of the regression is 21%. What does R2 tell us

A Professor Runs a Regression to See How Students' Exam $\text { (X). The } R ^ { 2 } \text { of the regression is } 21 \% \text {. What does } R ^ { 2 } \text { tell us }$