Math Problem Statement

Age Hours 0.03 16.5 0.05 15.2 0.06 16.2 0.08 15.0 0.11 16.0 0.19 16.0 0.21 15.0 0.26 14.5 0.34 14.6 0.35 15.2 0.35 13.4 0.44 14.9 0.52 14.9 0.69 13.7 0.70 14.3 0.75 14.1 0.80 14.5 0.82 13.4 0.86 12.7 0.91 13.8 0.94 14.1 0.97 12.5 0.98 14.1 0.98 13.2

Solution

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Analysis
Correlation

Formulas

Correlation coefficient formula: r = Σ((X - X̄)(Y - Ȳ)) / (n * σX * σY)
Mean: μ = ΣX / N
Standard deviation: σ = √Σ(X - X̄)² / N
Regression line formula: Y = a + bX

Theorems

Pearson's correlation coefficient
Linear regression

Suitable Grade Level

Grades 9-12