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

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 ModifyingAbove y with caret equals negative 0.0551 x plus 2.9109 . (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is nothing . (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 decrease increase by nothing points, on average. (c) If appropriate, interpret the y-intercept. A. The average number of video games played in a week by students is 2.9109 . B. The grade-point average of a student who does not play video games is 2.9109 . 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 2.44 . Is the student's 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 above below average for those who play video games 7 hours per week.

Explanation / Answer

a) For x = 8,

y = -0.0551*8 + 2.9109 = 2.47

b) For each additional hour that a student spends playing video games in a week, the grade-point average will decrease by 0.0551 points, on average.

c) The grade-point average of a student who does not play video games is 2.9109.

Option B is correct.

d) For x = 7,

y = -0.0551*7 + 2.9109 = 2.53

Given GPA = 2.44

Hence,

The student's grade-point average is below average for those who play video games 7 hours per week.

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