.Your teacher surveyed the class to determine the number of hours that each student spent on social media. Your teacher created a table and scatterplot graph that displayed the number of hours and the average final grade based on the hours. The trend line (equation) for the data is y=−7.2x+98.9

Question

. Interpret the y
-intercept. What is the average grade if a student was on social media for 0 hours?

Answer 1

In the context of the trend line equation \( y = -7.2x + 98.9 \), where \( y \) represents the average final grade and \( x \) represents the number of hours spent on social media, the \( y \)-intercept is the value of \( y \) when \( x = 0 \).

The \( y \)-intercept in this equation is \( 98.9 \). This means that if a student spends 0 hours on social media, their average final grade would be 98.9.

In summary, the interpretation of the \( y \)-intercept is that students who do not engage in social media at all (0 hours) are expected to have an average final grade of 98.9.