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Chapter 3, Problem 13AYU(choose chapter or problem)
Problem 13AYU
You Explain It! Video Games and GPAsA student at Joliet 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 ŷ = –0.0526 x + 2.9342.
(a)Predict the grade-point average of a student who plays video games 8 hours per week.
(b)Interpret the slope.
(c)If appropriate, interpret the y-intercept.
(d)A student who plays video games 7 hours per week has a grade-point average of 2.68. Is this student’s grade-point average above or below average among all students who play video games 7 hours per week?
Questions & Answers
QUESTION:
Problem 13AYU
You Explain It! Video Games and GPAsA student at Joliet 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 ŷ = –0.0526 x + 2.9342.
(a)Predict the grade-point average of a student who plays video games 8 hours per week.
(b)Interpret the slope.
(c)If appropriate, interpret the y-intercept.
(d)A student who plays video games 7 hours per week has a grade-point average of 2.68. Is this student’s grade-point average above or below average among all students who play video games 7 hours per week?
ANSWER:Answer :
Step 1 :
Given, in a survey of 20 randomly selected full-time students to determine the relation between the number of hours of video game playing each week and grade point average.
The least square regression line is = -0.0526+2.9342
- We have to predict the grade point average of student who plays video games 8 hours per week.
Let, = -0.0526