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 y= -0.0579x + 2.9408.(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.)

Answer 1

Given

The least-squares regression line that describes this relation is y= -0.0579x + 2.9408.

(a) Predict the grade-point average of a student who plays video games 8 hours per week.

The predicted grade-point average is

Procedure

We have information from the linear regression model as a function of the number of hours played.

Where x = 8 hours

`\begin{gathered} x=8 \\ y=-0.0579x+2.9408 \\ y=-0.0579(8)+2.9408 \\ y=2.4776 \end{gathered}`

the predicted grade-point average of a student who plays video games 8 hours per week is 2.4776