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^= - 0.0593x + 2.9263 (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.) Enter your answer in the answer box and then click Check Answer.

Explanation / Answer

We have the least square regression line of y on x is

y = 0.0593x + 2.9263

We want to find y at x = 8, so put x = 8 in above regression line equation, we get

y = 0.0593*8 + 2.9263

y = 0.4744 + 2.9263

y = 3.4007

Hence, The predicted grade-point average is : 3.4007 .

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