A student at a junior college conducted a survey of 20 randomly selected full-ti

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 y = -0.0561 times +2.9153. 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.) Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will appropriate, interpret the y-intercept.

Explanation / Answer

a)The grade point average of a student when X=8 is:

y^=-0.0561*8+2.9153

=2.4665

b)For each additional hour a student spends laying a video games in a week the grade point average will decrease by -0.0561 on average.

c)The grade point average of a student who does not play video games is 2.9153.

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