A student at a junior college conducted a survey of 20 randomly selected full-ti
ID: 3176622 • 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 cap y = - 0 0591x + 2.9197. Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade point average is. (Round to the nearest hundredth as needed.) 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 2.9197. The average number of video games played in a week by students is 2.9197. It cannot be interpreted without more information. A student who plays video games 7 hours per week has a grade-point average of 2.40. 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 hours per week.Explanation / Answer
Result:
a). when x=8, y=0.059*8+2.9197=3.3917
answer: 3.39
b).
The grade point average will increase by 0.0591 points on average.
c).
A. The grade point average of a student who does not play video games is 2.9197.
d).
predicted value for 7 hours, 0.059*7+2.9197 =3.3327
The students grade point average is below average for those who play video games 7 hours per week.
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