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Linear Regression

Fit y = a + bx and compute R².

Data (x y pairs, one per line)
Result

Enter data points.

Technical Description & Theory

What is Regression Calculator and Why it Matters?

Linear regression estimates the best-fitting line and quantifies fit quality via R², the starting point of statistical modeling.

Mathematical Formula and Theory

b = Σ(xᵢ−x̄)(yᵢ−ȳ)/Σ(xᵢ−x̄)², a = ȳ−b x̄. R² = 1 − SS_res/SS_tot.

How to Use This Calculator - Step by Step

  • Enter x y pairs, one per line.
  • Click Fit Line.

Solved Example with Full Calculation

Points (1,2.1)…(5,10.1) yield y≈0.02+2.00x with R²≈0.997.