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