A guidance counselor wants to determine if there is a relationship between a student’s number of absences, x, and their grade point average (GPA), y. He collects data for 15 randomly selected students and determines the value for r2 was 31%. Which of the following gives the best interpretation of this value?
31% of the variation in the number of absences is accounted for by the linear relationship with GPA.
69% of the variation in the number of absences is accounted for by the linear relationship with GPA.
31% of the variation in the GPA is accounted for by the linear relationship with number of absences.
56% of the variation in the GPA is accounted for by the linear relationship with number of absences.