A student at a junior college conducted a survey of 20 randomly selected full-ti
ID: 3327037 • 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 GPA (y). She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = -0.0554x + 2.9484
A) Predict the GPA of a student who plays video games 8 hours per week
B) Interpret the slope For each additional hour that a student spends playing video games in a week, the GPA will (INCREASE/DECREASE) by _ Points on Average.
C) If appropriate, interpret the y-intercept
* The average number of video games played in a week by students is 2.9484
*The GPA of a student who does not play video games is 2.9484
* It cannot be interpreted without more information
D) A student who plays video games 7 hours per week has a GPA of 2.45. Is the student's GPA above or below average among all students who play video games 7 hours per week? The Students GPA is (BELOW/ABOVE) average for those who play video games 7 hours per week.
Explanation / Answer
Result:
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 GPA (y). She found that a linear relation exists between the two variables. The least-squares regression line that describes this relation is y = -0.0554x + 2.9484
A) Predict the GPA of a student who plays video games 8 hours per week
Predicted GPA = -0.0554*8+2.9484
=2.5052
B) Interpret the slope For each additional hour that a student spends playing video games in a week, the GPA will DECREASE by 0.0554 Points on Average.
C) If appropriate, interpret the y-intercept
* The average number of video games played in a week by students is 2.9484
Answer: The GPA of a student who does not play video games is 2.9484
* It cannot be interpreted without more information
D) A student who plays video games 7 hours per week has a GPA of 2.45.
Predicted GPA = -0.0554*7+2.9484 =2.5606
Is the student's GPA above or below average among all students who play video games 7 hours per week?
The Students GPA is (BELOW) average for those who play video games 7 hours per week.
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