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, x, and the average final grade percentage, y, based on the hours. Using the equation of the trend line (equation) of 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?

Answer 1

In the equation of the trend line you provided, \( y = -7.2x + 98.9 \), the slope is \(-7.2\).

The slope 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 case, a slope of \(-7.2\) means that for each additional hour spent on social media, the average final grade decreases by 7.2 points.

So, to answer your question directly, the average final grade decreases by **7.2 points** for each additional hour spent on social media.