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 game playing each week, x, and grade- point average, y She found that a linear that describes this relation is y-0.0598x + 2 9122 telation extsts between the two vailables The bast-squaires,regression Ine (a) Predict the grade-point average of a student who plays video games 8 hours per week The predicted grade-point average is 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 (c) If appropriate, interpret the y-intercept O A. The grade-point average of a student who does not play video games is 2 9122 bypoints, on average O B. The average number of video games played in a week by students is 2 9122 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 2.58 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 isaverage for those who play video games 7 hours per week

Explanation / Answer

Solution:

Given in the question

Y = -0.0598X + 2.9122

If X =8

Than Y =-0.0598*8 +2.9122 = -04784+2.9122 = 2.4338

Solution(b)

For each additional hour that a student spends playing a video game in this week, the grade point average will decrease by 0.0598 points, on average.

Solution(C)

Its answer is A.

If X=0

Than y=2.9122

So its answer is A. I.e. the grade point average of a student who does not play video game is 2.9122.

Solution(4)

If X=7

Than

Y= -0.0598*7 +2.9122

Y = 2.4936

Now given in the question it is 2.58

So we can say that the student grade point average is above average for those who play video games 7 hours in a week.

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