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The problem involves predicting a student's test score based on their homework grade using a line of best fit. The given graph shows data points and the line of best fit, and we are asked to predict the exam score for a student whose homework grade is 66 points.

### Approach:
1. **Interpret the graph**: The x-axis represents homework grades, and the y-axis represents exam scores.
2. **Find the corresponding value on the line of best fit**: Locate 66 on the x-axis, trace upwards to where it intersects the line of best fit, and then trace horizontally to the y-axis to estimate the exam score.
   
Let me calculate this approximation for you:

From the graph:
- At a homework grade of 66, the corresponding point on the line of best fit is approximately between 70 and 75.
- By estimation, this value is about **73** (rounded to the nearest whole number).

Thus, a student with a homework grade of 66 is predicted to score **73** on the exam.

Do you want further details or have any questions?

Here are some related questions:
1. What is the equation of the line of best fit?
2. How can we calculate the slope of the line?
3. Why is the line of best fit important for making predictions?
4. How would outliers affect the line of best fit?
5. What methods can be used to determine the line of best fit mathematically?

**Tip:** Always check how closely the points follow the line of best fit to gauge the reliability of predictions!

Predict for a student whose homework grade is 66 points? Round your answer to the nearest whole number.

Learn how to predict a student's exam score using the line of best fit based on their homework grade of 66 points. This problem covers key statistical concepts, including linear regression and the equation of a line. Suitable for students in Grades 9-12.

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