Linear Regression Calculator
Calculate linear regression instantly with our math tool. Shows detailed work, formulas used, and multiple solution methods.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
y = mx + b | m = (nฮฃxy - ฮฃxฮฃy) / (nฮฃxยฒ - (ฮฃx)ยฒ) | b = (ฮฃy - mฮฃx) / n
Least squares linear regression finds the best-fit line through data points by minimizing the sum of squared residuals.
Worked Examples
Example 1: Simple dataset
Problem:X: 1,2,3,4,5 and Y: 2,4,5,4,5
Solution:m=(5ร40-15ร20)/(5ร55-225)=0.6, b=(20-0.6ร15)/5=2.2
Result:y = 0.6x + 2.2, Rยฒ = 0.36
Frequently Asked Questions
What is regression analysis and when should I use it?
Regression models the relationship between a dependent variable and one or more independent variables. Linear regression fits a straight line (y = mx + b). Use it to predict outcomes, identify which variables matter most, and quantify relationships. R-squared tells you what percentage of variation is explained by the model.
Reviewed by Manoj Kumar, Mathematics Educator ยท Editorial policy