Understanding Correlation Analysis

°Definition: What is Correlation Analysis? •Correlation analysis is a statistical method that measures the relationship between two variables. •It helps determine whether and how strongly two factors are related. °Types of Correlation: 1. Positive Correlation → Both variables increase together. Example: Study time vs. exam scores 2. Negative Correlation → One variable increases while the other decreases. Example: Exercise vs. weight 3. No Correlation → No relationship between variables. Example: Shoe size vs. intelligence °Correlation Coefficient (r-value) – Problem & Solution: °Problem: A teacher wants to analyze the relationship between study hours and exam scores of five students. •Solution: The correlation coefficient (r) is calculated using: •Table of Calculations: •Final Calculation: •Conclusion: Since r ≈ 0.997, this means a very strong positive correlation between study hours and exam scores. More study hours generally lead to higher exam scores. °Real-Life Application...