Math Problem Statement
ind the correlation coefficient for this: x values = 32, 25, 9, -7, 34, 8, 26. y values = 9, 2, -9, 8, 27, 37, -6
Solution
The correlation coefficient between the given and values is approximately 0.0165. This indicates a very weak, almost negligible positive linear relationship between the two sets of values.
Would you like more details on how this was calculated or have any questions?
Here are 5 questions to further your understanding:
- What does a correlation coefficient tell us about two sets of data?
- How does a correlation coefficient value near 0 impact predictions?
- What is the range of possible correlation coefficient values, and what do they signify?
- How can you calculate the correlation coefficient by hand?
- Can the correlation coefficient change if one of the data points is altered significantly?
Tip: A correlation coefficient near 0 suggests little to no linear relationship between the variables, but other types of relationships may still exist.
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationships
Formulas
Pearson correlation coefficient formula: r = Σ[(x_i - x̄)(y_i - ȳ)] / sqrt[Σ(x_i - x̄)^2 * Σ(y_i - ȳ)^2]
Theorems
Pearson Correlation Theorem
Suitable Grade Level
Grades 9-12