A professor runs a regression to see how students' exam scores (Y) are related to their homework
Grades (X). The R2 of the regression is 21%. What does R2 tell us?
A) 21% of the variation in the exam scores is explained by the regression analysis.
B) 21% of students have their grades accurately predicted by the regression equation.
C) none of these
D) 21% of each student's exam grade will be determined by their homework grade.
E) Exam scores are not related to homework grades since 21% is greater than 5%.

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