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Compute the linear correlation coefficient between the weight of a car and its miles per gallon.


The linear correlation coefficient between the weight of a car and its miles per gallon (MPG) is approximately \(-0.964\). This indicates a strong negative correlation, meaning that as the weight of the car increases, the miles per gallon generally decreases.

Would you like more details on this result, or do you have any specific questions?

Here are some related questions:
1. How do you interpret the value of a correlation coefficient?
2. What is the significance of a negative correlation in this context?
3. Can this correlation be used to predict fuel efficiency based on car weight?
4. How does outlier detection affect correlation coefficients?
5. What are other methods for analyzing the relationship between two variables?

**Tip**: Always ensure your data doesn't contain extreme outliers as they can skew the correlation coefficient results.

Compute the linear correlation coefficient between the weight of a car and its miles per gallon.

Discover how to calculate the linear correlation coefficient between the weight of a car and its miles per gallon (MPG). This solution uses statistical concepts, including the Pearson correlation coefficient formula, and demonstrates a strong negative correlation, showing how an increase in car weight generally decreases fuel efficiency. Suitable for students in Grades 10-12.

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