Math Problem Statement
Compute the linear correlation coefficient between the weight of a car and its miles per gallon.
Solution
The linear correlation coefficient between the weight of a car and its miles per gallon (MPG) is approximately . 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:
- How do you interpret the value of a correlation coefficient?
- What is the significance of a negative correlation in this context?
- Can this correlation be used to predict fuel efficiency based on car weight?
- How does outlier detection affect correlation coefficients?
- 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.
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Math Problem Analysis
Mathematical Concepts
Statistics
Linear Correlation
Negative Correlation
Formulas
Pearson Correlation Coefficient Formula
Theorems
Pearson's Correlation Theorem
Suitable Grade Level
Grades 10-12
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