Question Help A student at a junior college conducted a survey of 20 randomly se

Question

Question Help 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 =-0.0562x + 2.9367 (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 bypoints, on average (c) If appropriate, interpret the y-intercept O A. The grade-point average of a student who does not play video games is 2.9367. O B. The average number of video games played in a week by students is 2.9367. ° 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 2.43. 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 isM average for those who play video games 7 hours per week

Explanation / Answer

y^ = -0.0562 x + 2.9367

(a) x = 8 hours per week

y^ = -0.0562 * 8 + 2.9367 = 2.4871 or 2.49

(b) For each additional hour that a student spent playing games in a week, the grade point average will decrease by 0.0562 point on average.

(c) Here option A is correct as tthe person who doesn't play the game is 2.9367

(d) Predicted value for x = 7 hours per week

y^ (7) = -0.0562 * 7 + 2.9367 = 2.5433

The student's grade point average is lesser than average for those who play video games 7 hours per week.

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