Linear Regression Calculator
Calculate correlation coefficient, R-squared, and regression equation parameters
About this calculator
A linear regression calculator determines the mathematical relationship between two variables by finding the best-fit straight line through data points. It calculates essential statistical measures including the correlation coefficient (r), R-squared value (coefficient of determination), slope, y-intercept, and complete regression equation. This tool is invaluable for researchers, students, and analysts who need to identify trends, make predictions, or understand the strength of relationships between variables in fields like economics, science, and business analytics.
How to use
Enter your paired data points (x,y values) into the calculator, with each pair on a separate line or in designated input fields. Click calculate to generate results including the correlation coefficient, R-squared value, slope, and y-intercept. The calculator will display the complete regression equation and statistical measures.
Frequently asked questions
What does the R-squared value tell me?
R-squared indicates how well the regression line fits your data, ranging from 0 to 1. Higher values mean better fit and stronger predictive power.
What's the difference between correlation coefficient and R-squared?
Correlation coefficient (r) measures relationship strength and direction (-1 to 1), while R-squared shows percentage of variance explained by the model.
How many data points do I need for reliable results?
Minimum two points are required, but at least 10-20 points provide more reliable statistical results and better representation of the true relationship.