A regression analysis of students' AP* Statistics test scores and the number of hours they spent doing homework found $r ^ { 2 } = 0.32$. Which of these is true?
I. $32 \%$ of student test scores can be correctly predicted with this model.
II. Homework accounts for $32 \%$ of your grade in AP* Stats.
III. There's a $32 \%$ chance that you'll get the score this model predicts for you.
A) I only
B) none of these
C) I and II
D) III only
E) II only

Question

Quizplus · Accepted Answer

The $r^2$ value of 0.32 indicates that 32% of the variability in test scores can be explained by the number of hours spent on homework, not that 32% of scores can be predicted, that homework accounts for 32% of the grade, or that there's a 32% chance of getting a predicted score.

A Regression Analysis of Students' AP* Statistics Test Scores and the Number