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

ID: 3170819 • Letter: A

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^= - 0.0581x + 2.9279. 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 If appropriate, interpret the y-intercept. The grade-point average of a student who does not play video games is 2.9279. The average number of video games played in a week by students is 2.9279. It cannot be interpreted without more information. A student who plays video games 7 hours per week has a grade-point average of 2.63. 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

a) For x=8, y=2.46

b) For each additional hour , the grade point avg decreases by 0.0581

c) A

d) for x=7, ideally the y should be 2.5212 but we are getting it 2.63 which is above

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