A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week, x, and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = -0.0531x + 2.9371.
(a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is ________. (Round to the nearest hundredth as needed.)
(b) Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will increase or decrease by ________ points, on average.
(c) If appropriate, interpret the y-intercept.
A. The average number of video games played in a week by students is 2.9371.
B. The grade-point average of a student who does not play video games is 2.9371.
C. It cannot be interpreted without more information.
(d) A student who plays video games 7 hours per week has a grade-point average of 2.68.
Is the student's grade-point average above or below average among all students who play video games 7 hours per week? The student's grade-point average is below or above average for those who play video games 7 hours per week.