Regression Calculator
Compute simple linear regression (y = mx + b) from three data points. Find the slope and intercept of the best-fit line.
How to Use the Regression Calculator
- Enter three (x, y) data pairs.
- Click Calculate to find the regression line.
- The equation y = mx + b is shown with slope and intercept.
Quick Reference
| From | To |
|---|---|
| (1,2),(2,4),(3,6) | y = 2x + 0 |
| (0,1),(1,3),(2,5) | y = 2x + 1 |
| (1,5),(2,3),(3,1) | y = −2x + 7 |
| m > 0 | Positive trend |
| m < 0 | Negative trend |
Use Cases
- •Finding trend lines in experimental data.
- •Predicting outcomes based on observed patterns.
- •Analyzing cost vs. production relationships.
Formula
m = Σ(xᵢ − x̄)(yᵢ − ȳ) / Σ(xᵢ − x̄)². b = ȳ − m·x̄. Least-squares fit.
Frequently Asked Questions
What is linear regression?
A statistical method that finds the best-fit straight line through data points, minimizing the sum of squared residuals.
What do slope and intercept mean?
The slope (m) is the rate of change of y per unit x. The intercept (b) is y when x = 0.
How many points are needed?
At least 2 for a line, but 3+ gives a true regression with residual information.