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= -0.0578x + 2.9162. 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 by points on average. If appropriate, interpret the y-intercept. The average number of video games played in a week by students is 2.9162. The grade-point average of a student who does not play video games is 2.9162 It cannot be interpreted without more information. A student who plays video games 7 hours per week has a grade-point average of 2.39. 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

the regression equation is = -0.0578x + 2.9162
where
bo = 2.9162, b1 = -0.0578
a.
when a students who plays video games 8 hour per week
y = -0.0578x + 2.9162
=> y = -0.0578(8) + 2.9162 = 2.4538

b.
decrease by -0.0578 points

c.
The average number of video games played in a week by students is 2.9162

d.
when he plays for 7 hours, the grade point average will be

y = -0.0578(7) + 2.9162 = 2.5116

and here in given as 2.39, it will be true only if average is below

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