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
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