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 ModifyingAbove y with caret equals negative 0.0598 x plus 2.9254y=0.0598x+2.9254. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is 2.452.45. (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 by nothing points, on average.

Explanation / Answer

(a) The grade-point average of a student who plays video games 8 hours per week is

y = 0.0598x + 2.9254 = 0.0598(8) + 2.9254 =2.45

(b) For each additional hour that a student spends playing video games in a week, the grade-point average will decrease ( -0.0598 = - 5.98% = 5.98 percent decrease), on average

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