Statistics · Hypothesis testing

Linear Regression Significance Test Calculator

Fit a simple least-squares line and test whether its population slope differs from zero.

Statistics · Hypothesis testing

Enter your statistical inputs

Private in-browser calculation · explicit assumptions

Enter plain numbers without measurement units. Datasets accept commas, spaces, semicolons, or line breaks and are limited to 10,000 values. Results stay in this browser.

Statistics result

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
  2. Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
  3. Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.

Calculation method

How the linear regression significance test calculator works

t=b₁/SE(b₁), df=n−2; R²=SSR/SST.

The slope test evaluates a linear association conditional on the model, not causation or predictive validity elsewhere.

Worked example

Linear Regression Significance Test example

Paired observations produce a fitted intercept, slope, residual error, R², t statistic and p-value.

t=b₁/SE(b₁), df=n−2; R²=SSR/SST.

Supported inputs

Precision and limits

Model and design

Errors should be independent, constant-variance and approximately normal for small-sample inference; inspect residual structure.

Numerical scope

Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.

Interpretation

The slope test evaluates a linear association conditional on the model, not causation or predictive validity elsewhere.

Decision boundary

The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.

Privacy

Entered values and calculated results stay in this browser and are not sent to an analytics service.

Continue calculating

Related calculators