Question

zoeys 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 lines y - intercept 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. a students expected quiz score if they spent no time on their homework. how many hours a student spends studying all year.

Explanation:

Step1: Recall the concept of y - intercept in a linear model

In a linear equation \(y = mx + b\) (where \(y\) is the dependent variable, \(x\) is the independent variable, \(m\) is the slope, and \(b\) is the y - intercept), the y - intercept is the value of \(y\) when \(x = 0\).

Step2: Relate to the given context

In this case, \(y\) represents the quiz score and \(x\) represents the time spent on homework. When \(x = 0\) (i.e., no time spent on homework), the value of \(y\) (the quiz score) is given by the y - intercept.

Answer:

A student's expected quiz score if they spent no time on their homework.