
Regression Analysis and Correlation Simple Linear Regression Correlation What it is: Correlation tells us how strongly two variables move together . Example: If you study more hours and your test scores go up, there's a positive correlation between study time and scores. Range: Correlation is measured on a scale from -1 to +1 . +1 = perfect positive relationship = no relationship -1 = perfect negative relationship Simple Linear Regression What it is: It’s a way to predict one variable (like test score) based on another (like study hours). How it works: It draws a straight line through a scatter plot of the data points that best represents the relationship. The line shows the trend —as one variable increases, what typically happens to the other? Why it’s useful: You can make predictions . For example, if someone studies 4 hours, what test score might they expect? Visual Example (without math) Imagine this plot: 📈 Each dot = a student X-axis: Hours studied Y-axis: Test scores You draw a line that fits those dots as closely as possible. That line helps you predict scores from study time. Key Takeaways Correlation measures strength and direction. Regression helps you make predictions using
Updated July 15, 2026
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