Video Games and Grade-point Average Professor Grant Alexander wanted to find a linear model that relates the number of hours a student plays video games each week, h, to the cumulative grade-point average, G, of the student. He obtained a random sample of 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 grade-point average.
Hours of Video Games per Week, h | Grade-point Average, G |
0 | 3.49 |
0 | 3.05 |
2 | 3.24 |
3 | 2.82 |
3 | 3.19 |
5 | 2.78 |
8 | 2.31 |
8 | 2.54 |
10 | 2.03 |
12 | 2.51 |
(a) Explain why the number of hours spent playing videogames is the independent variable and cumulative grade-point average is the dependent variable. .
(b) Use a graphing utility to draw a scatter diagram. .
(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. .
(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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