Math Problem Statement
Based on the data shown below, calculate the correlation coefficient (rounded to three decimal places)
x y 5 27.55 6 26 7 22.55 8 24.7 9 21.75 10 19 11 21.65 12 18.7
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Correlation
Linear Relationships
Formulas
Pearson Correlation Coefficient: 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 10-12
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