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. Shefound that a linear relation exists between the two variables. The least squares regression line that describes this relation is yn -0.0579x + 2.9408.Given: The predicted grade point average of a student who plays video games 8 hours per week is 2.48AndThe grade point average of a student who does not play video games is 2.9408.A student who plays video games 7 hours per week has a grade point average of 2.43. Is the student's grade point average above or below average among all students who play video games 7 hours per week?

Answer 1

We will have the following:

Since the average for a student that plays 7 hours a week is:

`y=-0.0579(7)+2.9408\Rightarrow y\approx2.54`

So, his grade point average is below the average.