Question

kevins 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?

Explanation:

Step1: Understand the axes

The x - axis represents the time spent on homework per week (in hours), and the y - axis represents the quiz score. The line of best fit has the general form $y = mx + b$, where $b$ is the y - intercept (when $x = 0$).

Step2: Interpret $x = 0$ in context

When $x = 0$, it means the time spent on homework per week is 0 hours. The y - intercept is the value of $y$ (quiz score) when $x = 0$. So, the y - intercept represents the predicted quiz score for a student who spends 0 hours per week on homework.

Answer:

The line's y - intercept represents the predicted quiz score for a student who spends 0 hours per week on homework.