Question

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
. Interpret the y
-intercept. What is the average grade if a student was on social media for 0 hours?(1 point)

1 answer

The equation of the trend line is given as \( y = -7.2x + 98.9 \).

In this equation, \( y \) represents the average final grade, and \( x \) represents the number of hours spent on social media.

The \( y \)-intercept occurs when \( x = 0 \). Substituting \( x = 0 \) into the equation:

\[ y = -7.2(0) + 98.9 \] \[ y = 98.9 \]

The \( y \)-intercept, which is \( 98.9 \), means that if a student spends 0 hours on social media, the average final grade of that student would be 98.9.

So, if a student was on social media for 0 hours, the average grade would be 98.9.