The student\'s grade-point average is average for those who play video games 7 h

Question

The student's grade-point average is average for those who play video games 7 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 = - 0.0544X + 2.9105. Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will by points, on average. If appropriate, interpret the y-intercept. The grade-point average of a student who does not play video games is 2.9105.The average number of video games played in a week by students is 2.9105. It cannot be interpreted without more information. (d) A student who plays video games 7 hours per week has a grade-point average of 2.64. 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 average for those who play video games 7

Explanation / Answer

The regression line given is

a) x=8 y(8) 2.4753 (by substituting 8 for x) b) Slope is the rate of decrease in grade average for 1 hour extra playing video per week c) Y intercept is value of grade when x=0 or no hour spent on video d) x=7, y = 2.64 As per reg line y(7) 2.5297 <2.64

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