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 s was 0.67 Which of the following gives the best interpretation of this value?
Answer
A
The typical distance between the observed and predicted GPAs was about 0 point 6 7 points.
B
The typical number of absences for students was about 0 point 6 7 days.
C
The typical distance between the observed and predicted numbers of absences was about 0 point 6 7 days.
D
The typical GPA of a student was about 0 point 6 7 points.
Explanation
In a regression predicting GPA (y) from absences (x), s represents the typical size of the residuals: the differences between observed GPAs and the GPAs predicted by the model. Since GPA is measured in points, s = 0.67 means observed GPAs are typically about 0.67 points from their predicted values. It does not describe the typical GPA or the prediction error in absences.
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