Professor Grant Alexander wanted to find a linear model that relates the number h of hours a student plays video games each week to the cumulative grade-point average G of the student. He randomly selected 10 full-time students at his college and asked each student to disclose the number of hours spent playing video games and the student’s cumulative gradepoint average.

(a) Explain why the number of hours spent playing video games is the independent variable and cumulative grade-point average is the dependent variable. 

(b) Use a graphing utility to draw a scatter plot. 

(c) Use a graphing utility to find the line of best fit that models the relation between number of hours of video game playing each week and grade-point average. Express the model using function notation.  

(d) Interpret the slope of the line of best fit. 

(e) Predict the grade-point average of a student who plays video games for 8 hours each week. 

(f) How many hours of video game playing do you think a student plays whose grade-point average is 2.40?

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Hours of Video Games per Week, h 0 0 2 3 3 5 8 8 10 12 Grade-point Average, G 3.49 3.05 3.24 2.82 3.19 2.78 2.31 2.54 2.03 2.51