Calculate Line of Best Fit by Hand
Introduction & Importance
Calculating the line of best fit by hand is a fundamental skill in data analysis. It helps identify trends and make predictions based on data points.
How to Use This Calculator
- Enter your X and Y values, separated by commas.
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The formula for the line of best fit (regression line) is:
y = mx + b
Where:
- m is the slope of the line.
- b is the y-intercept.
The slope (m) is calculated as:
m = Σ[(xi – x̄)(yi – ȳ)] / Σ(xi – x̄)²
The y-intercept (b) is calculated as:
b = ȳ – m*x̄