Math Problem Statement

Based on the data shown below, calculate the correlation coefficient (to three decimal places)

x y 3 80.8 4 81.2 5 73.4 6 70 7 67.4 8 69.2 9 61 10 60.4

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Linear Relationship

Formulas

Correlation Coefficient Formula: r = (n(∑xy) - (∑x)(∑y)) / sqrt([n∑x² - (∑x)²][n∑y² - (∑y)²])

Theorems

Properties of Correlation
Pearson's Correlation Coefficient

Suitable Grade Level

Grades 10-12