Linear Regression Calculator
Perform simple linear regression analysis on data points. Calculate the best-fit line equation, correlation coefficient, R-squared, and make predictions with step-by-step solutions.
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Linear Regression Calculator - Find Best-Fit Line
Calculate the equation of the best-fit line for your data using least squares regression. Get slope, intercept, correlation coefficient (r), R-squared, standard error, and make predictions. Includes scatter plot visualization with regression line.
What is Linear Regression?
Linear regression is a statistical method for modeling the relationship between a dependent variable and one or more independent variables. Simple linear regression finds the best-fitting straight line (ŷ = b₀ + b₁x) through data points by minimizing the sum of squared residuals. It's fundamental to predictive modeling and data analysis.
Regression Equation
ŷ = b₀ + b₁xHow to Use This Calculator
Linear Regression Applications
Sales Forecasting
Predict future sales based on advertising spend, time, or other factors.
Scientific Research
Analyze experimental data and quantify relationships between variables.
Finance
Model stock returns, estimate asset values, or analyze economic trends.
Education
Study relationships between study hours and test scores, or other educational metrics.
Frequently Asked Questions
R-squared, also called the coefficient of determination, indicates how well the regression line fits your data. An R² of 0.85 means 85% of the variance in Y is explained by X. Values closer to 1 indicate a better fit, while values near 0 suggest the model doesn't explain the data well.