In: Statistics and Probability
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 0.0592 x plus 2.9446. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade-point average is nothing. (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 ▼ increase decrease by nothing points, on average. (c) If appropriate, interpret the y-intercept. A. The grade-point average of a student who does not play video games is 2.9446. B. The average number of video games played in a week by students is 2.9446. 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 2.62. Is the student's grade-point average above or below average among all students who play video games 7 hours per week?