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 y= -0.0595x + 2.9435

(a) Predict the grade-point average of a student who plays video games 8 hours per week. (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 or increase) by ____ points , on average

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

(d) A student who plays video games 7 hours per week has a grade-point average of 2.42 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, or above) average for those who play video games 7 hours per week.

Explanation / Answer

(a)

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

y= -0.0595* 8 + 2.9435 = 2.4675

Answer: 2.48

(b)

For each additional hour that a student spends playing video games in a week, the grade-point average will decrease by 0.0595 points , on average

(c)

When X = 0 (number of playing hour is zero) then the grade-point average will be 2.9435.

(d)

Predicted grade-point average of a student who plays video games 7 hours per week is

y= -0.0595* 7 + 2.9435 = 2.527

The student's grade-point average is below average for those who play video games 7 hours per week.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

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