Question

a scatterplot shows the relationship between the number of tutoring sessions attended and test scores. the line of best fit is: ( y = 5x + 60 ), where ( x ) is the number of tutoring sessions and ( y ) is the test score. what does the ( y )-intercept of this line represent in this context? a students score increases by 60 points each session 60 is the average of all the test scores a student who attends one session will score 60

Explanation:

Step1: Recall the slope - intercept form of a line

The equation of a line is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept. In the given equation \(y = 5x+60\), \(x\) is the number of tutoring sessions and \(y\) is the test score.

Step2: Interpret the \(y\) - intercept

When \(x = 0\) (i.e., when a student attends \(0\) tutoring sessions), we substitute \(x = 0\) into the equation \(y=5x + 60\). Then \(y=5\times0 + 60=60\).

Answer:

A student who attends no tutoring sessions will score 60.