student a ajunior college conducted a survey ot 20 randomly selected fulltime st
ID: 3229716 • Letter: S
Question
student a ajunior college conducted a survey ot 20 randomly selected fulltime students to determine the relation between the number of hours orvideo game playing each week and grade-point average, y. She found that a linear relation exists between the two variables. The least-squares regression lne that descrbes this reationisy 0.0541x +29263 (a)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.) (b) Interpret the slope. For each additional hour that a student spends video games in a week, the grade-point average wil by points, on average playing (c) it appropriate interpret the y intercept O A. The grade-point average of a student who does not play video games is 29263. O B. The average number of video games played in a week by students is 29263. Click to select your answerts)Explanation / Answer
a.
x = 8
The predicted grade point average is
y = -0.0541*8 + 2.9263
y= 2.4935
b.
slope of regression line is -0.0541
For each additional hour that a student spends playing video games in a week the grade point average will decrease by 0.0541
c.
intercept = 2.9352
at x=0, y = 2.9263
The grade point average of a student who does not play video games is 2.9263
d.
x = 7
The predicted grade point average is
y = -0.0541*7 + 2.9263
y = 2.5476
actual grade point average is 2.64
The students grade point average is above average for those who play video games 7 hours per week.
Hope this will be helpful. Thanksand God Bless You :-)
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