7 An investigator observed 10 students and recorded the amou

7. An investigator observed 10 students and recorded the amount of time spent playing video games per week to see if this predicted their semester grade point average. The correlation between time playing games and grade point average was found to be -0.563 (p<0.05), s_X= 3.2 hours, s_Y=0.75 grade points, and the Y-intercept was 3.47.

Please show your work in answering the following:

- Find the least-squares regression line for predicting grade point average from time spent playing video games.

- If a student plays 6 hours per week, what will be his or her predicted grade point average?

- If the mean time spent playing video games is 4 hours, what is the mean grade point average for the sample?

Solution