Predict the grade-point average of a student who plays video games 8 hours per w

Question

Predict the grade-point average of a student who plays video games 8 hours per week.

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-hat = -0.0598x + 2.9492. (a) Predict the grade-point avenge of a student who plays video gaines 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 by D points, on average. (c) If appropriate, interpret the y-intercept. increase (d) A student who plays video games 7 hours per week has a grade-point avenge of 2.42. Is the students 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_ average for those who play video games 7 hours per week.

Explanation / Answer

y = -0.0569x + 2.9381

a) Plug in x = 8 :

y = -0.0569x + 2.9381

y = -0.0569(8) + 2.9381

y = 2.4829

y = 2.48 ---> ANSWER

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"decrease" by "0.0569" points

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When x = 0, y = 2.9381

x = 0 ---> student plays no video games
y = 2.9381 --> student who plays no video games during the week gets a GPA of 2.9381
Option B

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When x = 7, y = 2.43

Lets use the equation

when x = 7 :

y = -0.0569(7) + 2.9381

y = 2.5398

So, since 2.5398 > 2.43

"The student's GPA is BELOW average ---> ANSWER

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