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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 ofGrade-pointVideo GamesAverage, Gper Week, h 03.4903.0523.2432.8233.1952.7882.3182.54102.03122.51\begin{matrix} \text{Hours of} & \text{Grade-point}\\ \text{Video Games} & \text{Average, $G$}\\ \text{per Week, $h$} & \text{ }\\ \hline \text{0} & \text{3.49}\\ \text{0} & \text{3.05}\\ \text{2} & \text{3.24}\\ \text{3} & \text{2.82}\\ \text{3} & \text{3.19}\\ \text{5} & \text{2.78}\\ \text{8} & \text{2.31}\\ \text{8} & \text{2.54}\\ \text{10} & \text{2.03}\\ \text{12} & \text{2.51}\\ \end{matrix}

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

Solution

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Answered 2 years ago
Answered 2 years ago
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1 of 2

G(x)=0.094x+3.278G(x)=-0.094x+ 3.278

2.4=0.094(x)+3.2782.4=-0.094(x)+ 3.278

0.094(x)=0.8780.094(x)=0.878

x=9.34x= 9.34

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