.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 slope. How many points does the average final grade decrease for 1 hour on social media?

1 answer

The slope of the trend line given by the equation \( y = -7.2x + 98.9 \) represents the rate of change of the average final grade (y) with respect to the number of hours spent on social media (x).

In this context, the slope is \(-7.2\), which means that for each additional hour spent on social media, the average final grade decreases by 7.2 points.

So, to answer your question: the average final grade decreases by 7.2 points for every 1 hour spent on social media.