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 = -0.0503x + 2.9455. 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.)

Explanation / Answer

Solution:

(a) The prdicted grade-point average is 2.5431
y = -0.0503 x + 2.9455 a. x = 8 The predicted grade point average is y = -0.0503 *8 + 2.9455 = 2.5431

For each additional hour that a student spends playing video games a week, the grade point average will decrease by 0.0503 points, on average. If appropriate, interpret the y-intercept. The grade point average of a student who does not play video games is 2.9455

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