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A student at a junior college conducted a survey of 20 randomly selected full-ti

ID: 3174221 • Letter: A

Question

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 = -0.05127x + 2.9191. (a) Predict the grace-point average of a student who plays video games 8 hours per week. The predicted grade-point average is. For each additional hour that a student spends playing video games in a week, the grade-point average will by points, on average. (c) If appropriate, interpret the y-intercept. A. The grade-point average of a student who does not play video games is 2.9191. B. The average number of video games played in a week by students is 2.9191. C. It cannot be interpreted without more information. (d) A student who plays video games 7 hours per week has a grade-point average of 2.47. Is the student's grade-point average above or below average among at 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

a) predicted grsde point average =-0.0517*8+2.9191=2.5055

b)grade point average will decrease by 0.0517 points on average

c)option A is correct

d)for 7 hours predicted score ==-0.0517*7+2.9191=2.5572

hence student score is below average fopr those whoi play

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