A student at a junior college conducted a survey of 20 randomly selected? full-t
ID: 3371546 • 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
ModifyingAbove y with caret equals negative 0.0596 x plus 2.9444y=?0.0596x+2.9444.
?(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 playing video games in a? week, the? grade-point average will
?
increase
decrease
by
how many
?points, on average.
?(c) If? appropriate, interpret the? y-intercept.
A.
The? grade-point average of a student who does not play video games is
2.9444
B.
The average number of video games played in a week by students is
2.9444.
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
2.442
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)
predicted? grade-point average=?0.0596*8+2.9444=2.47
b)
For each additional hour that a student spends playing video games in a? week, the? grade-point average will
decrease by 0.0596 ?points, on average
c)
A.
The? grade-point average of a student who does not play video games is 2.9444
d)
The? student's grade-point average is below average for those who play video games 7 hours per week.
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