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In: Statistics and Probability

A student at a junior college conducted a survey of 20 randomly selected​ full-time students to...

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?

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