https://file.aiquickdraw.com/mathbot/file/1730350564175zui23mja.jpg

Construct a scatter diagram for these data.

Calculate the correlation of the coefficient (***r**). Interpret the results. 

The scatter plot above shows a negative relationship between the number of absences and final grades, meaning that as the number of absences increases, the final grade tends to decrease.

### Correlation Coefficient (r):
The calculated correlation coefficient \( r \approx -0.944 \) suggests a strong negative correlation between the two variables. This implies that students with more absences generally have lower final grades. Since \( r \) is close to -1, it indicates a nearly linear, inverse relationship.

### Interpretation:
A strong negative correlation like this often reflects that the variables are highly related, with an increase in absences strongly associated with a drop in grades. While correlation doesn’t imply causation, it strongly suggests that attending class may positively impact students' performance.

Would you like further details on the calculation, or do you have any other questions?

#### Related Questions:
1. How would the correlation change if a student with high absences and high grades were added?
2. What would a correlation coefficient close to 0 indicate in this scenario?
3. Can the strong correlation suggest causation in real-life contexts?
4. How could outliers affect the correlation coefficient?
5. What other factors might influence final grades besides absences?

#### Tip:
A correlation coefficient close to -1 or 1 indicates a strong linear relationship, while values close to 0 indicate a weak or no linear relationship.

Construct a scatter diagram for these data. Calculate the correlation of the coefficient (r). Interpret the results.

Construct a scatter plot to examine the relationship between the number of absences and final grades of seven students. Calculate the Pearson correlation coefficient to interpret the strength and direction of this relationship. Suitable for high school statistics students.

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