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 0.0502 x plus 2.9208 .

(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 decrease increase by nothing points, on average.

(c) If appropriate, interpret the y-intercept.

A. The average number of video games played in a week by students is 2.9208 .

B. The grade-point average of a student who does not play video games is 2.9208 .

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 2.69 . 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 below above average for those who play video games 7 hours per week.

Explanation / Answer

a) For x = 8,

y = 0.0502 (8) + 2.9208

y = 3.32

b) Increase; 0.0502

c) The grade-point average of a student who does not play video games is 2.9208 .

Option B is correct.

d) For x = 7,

y = 0.0502 (7) + 2.9208

y = 3.27

Hence,

The given student grade point is below average.

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