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. What is the average grade if a student was on social media for 0 hours?
The slope of the trend line, -7.2, represents the decrease in average final grade for every additional hour spent on social media. This means that on average, for every hour spent on social media, the student's final grade decreases by approximately 7.2 points.
If a student was on social media for 0 hours, the average grade could be calculated by substituting x = 0 into the equation:
y = -7.2(0) + 98.9
y = 98.9
Therefore, if a student spent 0 hours on social media, the average final grade would be 98.9.
Your company asked you to analyze the investment of their advertising campaign. You create a scatterplot graph of the advertising dollars spent on advertising, x, and compare it to the revenue generated, y, for January to December of the campaign. You find the equation of the trend line to be y = 2.53x + 43. Predict the revenue generated if your company invests $200.00 in advertising. Write the revenue in dollars and cents.
To predict the revenue generated if the company invests $200.00 in advertising, you can substitute x = 200 into the equation:
y = 2.53(200) + 43
y = 506 + 43
y = 549
Therefore, if the company invests $200.00 in advertising, the predicted revenue generated would be $549.00.