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.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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

The slope represents the change in the average final grade percentage (\(y\)) for each additional hour spent on social media (\(x\)). Specifically, a slope of \(-7.2\) means that for each additional hour a student spends on social media, the average final grade percentage decreases by \(7.2\) percentage points.

In summary, this indicates that increased time spent on social media is associated with lower final grades in the context of this data.