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 0.0543x 2.9256 (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.) (b) Interpret the slope. For each additional hour that a student spends playing video games in a week, the grade-point average will v by points, on average. C) If appropriate, interpret the y-intercept. O A. The average number of video games played in a week by students is 2.9256. O B. The grade-point average of a student who does not play video games is 2.9256 O C. It cannot be interpreted without more information

Explanation / Answer

Given,

sample size(n)=20

regression equation: y=-0.0543x+2.9256

A.a) x=8 hours

to find y

y=-0.0543*8+2.9256

y=2.4912

hence the predicted grade point average is 2.4912

A.b) for every additional hour of playing,

the grade point average will decrease by 0.0543 points on average

A.c) a student who does not play video games implies x=0

hence y= -0.0543x+2.9256

y=-0.0543*0+2.9256

y=2.9256

hence the answer is b

A.d) using the equation,

y=-0.0543*7+2.9256

y=2.5455

the student grade point is given as 2.66

hence the student grade point is above the average

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