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To analyze the question about the linear association between the number of hours worked and the overall grade average, we can approach this by calculating the correlation coefficient. This will allow us to determine whether there is a positive or negative association between the variables.

From the table:

| Hours Worked | Overall Grade Average |
|--------------|-----------------------|
| 15           | 86                    |
| 30           | 72                    |
| 27           | 77                    |
| 25           | 83                    |
| 16           | 87                    |
| 20           | 90                    |
| 12           | 94                    |

We will calculate the correlation coefficient (Pearson’s r) to see if the association is strong or weak and positive or negative.

Let me calculate that for you.The Pearson correlation coefficient is approximately -0.90, which indicates a **strong negative** correlation between the number of hours worked and the overall grade average. This means that as the number of hours worked increases, the overall grade average tends to decrease.

The correct answer is: **Strong Negative**.

Would you like further details or have any other questions? 

Here are five related questions to deepen your understanding:
1. What is the interpretation of a correlation coefficient close to 0?
2. How does a negative correlation impact predictions in real-life scenarios?
3. Can you explain why correlation does not imply causation?
4. What methods can be used to visualize correlations in data?
5. How would adding more data points affect the correlation calculation?

**Tip:** Always be cautious about drawing conclusions based on correlation alone; other factors might influence the observed relationship.

Based on the correlation coefficient for the data, what type of linear association exists between hours worked and overall grade average?

Analyze the linear association between the number of hours worked and students' overall grade average. The problem involves calculating the Pearson Correlation Coefficient, highlighting a strong negative correlation, suitable for students in Grades 10-12.

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