Question

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

Required:
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 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?

Answer 1

The correct answer is a