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 = -0.0547x + 2.9241. 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.) Interpret the slope. For each additional hour that a student spends playing video games in a week the grade-point average will by points, on average. If appropriate, interpret the y-intercept. The average number of video games played in a week by students is 2.9241. The grade-point average of a student who does not play video games is 2.9241. It cannot be interpreted without more information.

Explanation / Answer

2.49

y= - 0.0547*8 +2.9241 = 2.49

The average will decrease by 0.0547 . This is because slope is negative

B is the answer. That is the value of y when x=0

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