Math Problem Statement

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

x y

5 15.5

6 17.1

7 18.1

8 18.8

9 18.7

10 21.7

11 18.5

12 20.2

13 21.6

14 22.9

15 23.7

16 23.3

17 23.6

18 25.8

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Correlation
Bivariate Data Analysis

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's Correlation Theorem

Suitable Grade Level

Grades 11-12, College Level