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

Multiple Choice

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.