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 or 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 = -0.0682x + 2.9159. (a) Predict the grade-point average of a student who plays video games 8 hours per week. The predicted grade point average is (b) Interpret the slope For each additional hour that a student spends playing video games in a week the grade point average will by point on average. (c) If appropriate interpret the y-intercept. A. The grade point average a student who does not play video games is 2.9159. B. The average number of video games played in a week by students is 2.9159. 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 2.6

Explanation / Answer

a) For x = 8,

y = -0.0582(8) + 2.9159

y = 2.45

b) Decrease; 0.0582

c) Option A is correct.

d) For x = 7,

y = -0.0582(7) + 2.9159

y = 2.51

Hence,

The student's grade point average if above average.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.