How does the Linear Regression work?

m = Σ(xi−x̄)(yi−ȳ) / Σ(xi−x̄)² Then: b = ȳ − m × x̄ Then: Slope m has units of y/x Then: Use for prediction: plug x into equation to get ŷ.

Can you give an example of how to use the Linear Regression?

Example: Input Height vs weight → slope = 0.65 kg/cm gives a result of Each cm of height adds 0.65 kg to predicted weight (Slope interpretation depends on units).

Is the Linear Regression free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Linear Regression?

Our Linear Regression uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

What statistical method does this Linear Regression use?

This calculator uses industry-standard statistical formulas. For research use, always report your full methodology including sample size, confidence levels, and any assumptions made.

ریاضی

Linear Regression

📊Linear Regression (Slope & Intercept)

X values (comma separated)

Y values (comma separated)

The slope and intercept of a linear regression line (ŷ = mx + b) describe the best-fit straight line through a scatter of data points, minimising the sum of squared vertical residuals (OLS).

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Did You Know?

Francis Galton coined 'regression' in 1886 after noticing tall parents' children tend to be shorter — regression toward the mean is a statistical phenomenon, not a biological one.

References

›Simple linear regression — Wikipedia

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Linear Regression

📊Linear Regression (Slope & Intercept)

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