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=0.0582x+2.9358.

(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 2.9358.

B. The grade-point average of a student who does not play video games is 2.9358.

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 2.42.

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 (above or below) _______average for those who play video games 7 hours per week.