Question

fabians math teacher plots student grades on their weekly quizzes against the number of hours they say they study on the pair of coordinate axes and then draws the line of best fit. what does the slope of the line represent? answer a prediction of a students quiz score if they spent 1 hour on their homework. the change in expected quiz score for every additional one hour students spend on their homework. the change in a students actual quiz score for every additional one hour that student spent on their homework. a students expected quiz score if they spent no time on their homework.

Explanation:

In a regression line (line of best fit) of the form \(y = mx + b\) (where \(y\) is the quiz score and \(x\) is the study - time), the slope \(m=\frac{\Delta y}{\Delta x}\). Here, \(\Delta y\) represents the change in the quiz score and \(\Delta x\) represents the change in study - time. So, the slope represents the change in the expected quiz score (\(\Delta y\)) for a unit change (1 hour, \(\Delta x = 1\)) in study - time.

Answer:

The change in expected quiz score for every additional one hour students spend on their homework.