Math Problem Statement
138.0 110 135.0 60 139.0 90 120.5 60 149.0 95 141.0 100 141.0 95 150.0 85 166.0 155 151.5 140 129.5 105 150.0 110. Determine the linear correlation coefficient between weight and length. The linear correlation coefficient between weight and length is requals=enter your response here. (Round to three decimal places as needed.)
Solution
The linear correlation coefficient between weight and length is approximately 0.750 (rounded to three decimal places).
If you have any questions or need further details, let me know! Here are some related questions you might consider:
- What does a correlation coefficient of 0.750 indicate about the relationship between weight and length?
- How would you interpret a correlation coefficient closer to 1 or -1?
- What are the potential implications of this correlation in a practical context?
- Can you explain how to calculate the correlation coefficient manually?
- What other statistical measures could be useful to analyze this data?
Tip: Always visualize data with a scatter plot when examining correlations to better understand the relationship.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationships
Formulas
r = (nΣxy - ΣxΣy) / sqrt[(nΣx^2 - (Σx)^2)(nΣy^2 - (Σy)^2)]
Theorems
Pearson's Correlation Coefficient
Suitable Grade Level
Grades 10-12
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