Linear Regression Calculator with Interpretation

The Linear Regression Calculator is used to estimate a simple linear relationship between an independent variable (X) and a dependent variable (Y).

Linear Regression Calculator

Use this tool to calculate a simple linear regression with Y as the dependent variable and X as the independent variable. It returns a compact summary, a short interpretation, a scatter plot with regression line, an ANOVA table, and a coefficient table. Incomplete rows are ignored automatically.

Inputs

Paste or enter your data

Type values directly into the table. You can paste one column (only X or only Y) or two columns (X + Y) from Excel or CSV using Ctrl/Cmd + V. Decimal commas are recognized. You can also select cells and copy them like in a spreadsheet.

#	X (Independent Variable)	Y (Dependent Variable)

Rows without a complete numeric pair are ignored. Ignored: 0

Results

Model summary

Run the calculator to view the regression equation, model fit, interpretation, and supporting tables.

Model fit (R²)

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Run the calculator to generate the regression equation.

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About the Free Linear Regression Calculator

How to Use the Linear Regression Calculator

To use the Linear Regression Calculator, paired X and Y values must be entered into the input table. Data can be typed manually or pasted from spreadsheet software such as Excel or CSV files.

Once the data is entered, the Linear Regression Calculator processes all valid observations and computes the regression model. Rows without complete numeric pairs are ignored automatically.

Interpretation of Results

The Linear Regression Calculator provides a short interpretation of the model results, including direction of the relationship and strength of association.

This interpretation generated by the Linear Regression Calculator helps translate statistical output into clear statements that can be used in reporting or analysis.

Regression Model and Equation

The Linear Regression Calculator estimates a regression equation of the form Y = a + bX, where b represents the slope and a represents the intercept. This equation describes how changes in X are associated with changes in Y.

By using a Linear Regression Calculator, users can quantify the direction and magnitude of this relationship, making it possible to interpret how strongly the independent variable predicts the dependent variable.

When to Use the Linear Regression Calculator

A Linear Regression Calculator is used to examine how one variable predicts or explains another. It is commonly applied when analysing relationships where a linear trend is expected between an independent and a dependent variable.

In research and data analysis, a Linear Regression Calculator is often used for exploratory analysis, hypothesis testing, and modelling relationships before applying more complex statistical methods.

If you want to know more about Regression Analysis, visit our article “Regression Analysis explained: Calculation and Interpretation“

Linear Regression Calculator without AI

All computations in the Linear Regression Calculator are performed locally within the browser. Data entered into the tool is not uploaded or stored externally.

Because the Linear Regression Calculator does not rely on AI or external services, results are deterministic and based entirely on the provided input values.

Other free statistical tools

These tools support common statistical analysis tasks in research, from exploring relationships in data to estimating effects, building models, and planning studies.

Correlation Coefficient Calculator

Measure the strength and direction of relationships between variables with clear, easy-to-read results. Useful for exploratory analysis, hypothesis testing, and reporting findings.

Effect Size Calculator (Cohen's d)

Calculate effect size quickly to understand the practical magnitude of differences between groups. Ideal for research reports, study interpretation, and comparing results beyond p-values.