Statistics

Linear Regression Calculator

Calculate linear regression models online. Find the best-fit line, coefficients, R-squared, and p-values for your data. Analyze simple and multiple linear regression with ease.

Input Data

Multiple independent variables can be entered as columns.

Enter a single column of values for the dependent variable.

Regression Results

Coefficients (β):

R-squared (R²):

P-values:

Understanding Linear Regression

Linear regression is a statistical method used to model the relationship between a dependent variable and one or more independent variables. It aims to find the best-fitting linear equation to describe how the dependent variable changes as the independent variable(s) change.

  • Coefficients: These are the estimated values that represent the change in the dependent variable for a unit change in the independent variable. In simple linear regression (one independent variable), there's an intercept and a slope.
  • R-squared: It measures the proportion of the variance in the dependent variable that is predictable from the independent variable(s). It ranges from 0 to 1, where a higher value generally indicates a better fit.
  • P-values: These values assess the statistical significance of each coefficient. A low p-value (typically < 0.05) suggests that the coefficient is statistically significant, meaning the independent variable is likely to have a significant effect on the dependent variable.

This tool helps you perform linear regression analysis, providing these key metrics and a visualization to understand your data better. For further learning, you can explore resources on statistical analysis and regression models.

Frequently Asked Questions

What is the Linear Regression Calculator?
The Linear Regression Calculator is an online Statistics calculator. You enter your values, and it returns the answer with the steps shown so you can follow along.
How accurate is the Linear Regression Calculator?
The solver uses a math engine that avoids the floating-point rounding errors you get from most hardware calculators. For typical homework and professional calculations, the results will match what you would get by hand.
Can I use the Linear Regression Calculator for professional Statistics projects?
Yes. The math behind it is standard Statistics, so the results are reliable for professional use. That said, always double-check that your inputs are in the right format before relying on the output.
Why use the Linear Regression Calculator instead of calculating by hand?
Manual calculation is slow and error-prone, especially with multiple steps. This tool does the arithmetic for you and shows each step, so you can catch mistakes before they carry forward.
How do I format my inputs for the Linear Regression Calculator?
Type your numbers into the input fields. Leave out units and symbols unless a field specifically asks for them. The solver handles the rest.