1. The scatter plot shows a positive correlation between hours studied and final exam grade. As study hours increase, grades tend to increase.
2. The equation of the line of best fit is approximately y = 5x + 60, where y is the grade and x is hours studied.
3. For a student who studied for 8 hours:
y = 5(8) + 60 = 40 + 60 = 100
Predicted grade: 100
4. This line should not be extended far into the future because:
- Grades are capped at 100; the model would predict impossible scores (e.g., >100) for more than 8 hours.
- Diminishing returns likely occur — studying longer doesn’t always yield proportional grade increases.
- Other factors (fatigue, diminishing focus) make the linear relationship unrealistic beyond observed data.
Parent Tip: Review the logic above to help your child master the concept of scatter plot and line of best fit worksheet answers.
