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 modifyingabove y with caret equals negative 0.0537 x plus 2.9453y=?0.0537x+2.9453.

Answer 1

This question is incomplete. Assuming that the question is similar to the reference I found, we will look for the grade-point average, y, of a student who plays video games 8 hours per week. To calculate for this, just plug in x = 8 in the equation given.

y = - 0.0537x + 2.9453

y = - 0.0537 * 8 + 2.9453

y = 2.5157 = 2.52

The grade-point average is about 2.52.

Note: if the given x is not 8, just plug in that value into the equation then calculate.

The y-intercept of the equation 2.9452 indicates the grade-point average of the student who does not play video games (x = 0).

The slope -0.0537 indicates that for every hour the student plays, the grade-point average decreases by 0.0537 points.