is Question: 10 pts 23 of 28 (12 complete Question Help A student at a junior co
ID: 3326998 • Letter: I
Question
is Question: 10 pts 23 of 28 (12 complete Question Help A student at a junior college conducted a survey of 20 randomly selected full-time students to determine the relation between between the two variables. The least-squares regression line that describes this relation is y-0 0587x+2.9489 the number of hours of video game playing each week, x, and grade-point average,y She found that a linear relation exists (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 wil by points, on average (c) If appropriate, interpret the y-intercept O A. The grade-point average of a student who does not play video games is 2 9489 O B. The average number of video games played in a week by students is 29489 O c. It cannot be interpreted without more information (d) A student who plays video games 7 hours per week has above or below average among all students who play video games 7 hours per week? a grade-point average of 2.65. Is the student's grade-point average The student's grade-point average is average for those who play video games 7 hours per week Cick to select your answerts) enooExplanation / Answer
Given, y= -0.0587x + 2.9489
Thus, y= -0.0587(8) + 2.9489 = 2.4865 rounding off to 2.49
In general, y = ax+b , where a = slope and b = y-intercept
Thus, for each additional hour spent on video games in a week,the grade average will decrease by 0.0587 points on average
This represents y coordinate value which is grades. When x= 0, y=2.9489
Thus option A
Ideally it should be y = -0.0587(7)+2.9489 = 2.54
As 2.65>2.54, student’s grade point average is above average for those who play video games 7 hrs per week
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