Thanks A student at a junior college conducted a survey of 20 randomly selected

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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 y0.0515x+2.9419. (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 wil (c) If appropriate, interpret the y-intercept. | by points, on average. O A. The average number of video games played in a week by students is 2.9419 O B. The grade-point average of a student who does not play video games is 2.9419. ° C. It cannot be interpreted without more information (d) A student who plays video games 7 hours per week has a grade-point average of 2.69. Is the student's grade-point average above or below average among all students who play video games 7 hours per week? The student's grade-point average is | average for those who play video games 7 hours per week.

Explanation / Answer

Answer to the question is as follows:

y^ = -.0515x+2.9419

a. y^ = -.0515*8+2.9419 = 2.53

b. The slope can be interpreted as "for a unit increase in the no. of hours spent playing video games, the gpa decreases by .0515 units.

c. If a person doesn't play videogames at all ( i.e. x=0) then his gpa will be at 2.9419 ( = -.0515*0+2.9419)

d. So, y =2.69 is given we need to compare it to average predicted value y^
y^ = -.0515*7+2.9419) = 2.581 which is less than 2.69

Which means that student' gpa is HIGHER than average for those who play video games 7 hours per week

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