Math Problem Statement

Annual high temperatures in a certain location have been tracked for several years. Let X represent the year and Y the high temperature. Based on the data shown below, calculate the correlation coefficient (to three decimal places) between X and Y. Use your calculator!

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation

Formulas

Correlation coefficient formula: r = Σ((X - X̄)(Y - Ȳ)) / √(Σ(X - X̄)^2Σ(Y - Ȳ)^2)

Theorems

Pearson Correlation Coefficient

Suitable Grade Level

Grades 10-12