Exponential Regression Calculator

What Is Exponential Regression?

Exponential regression finds the curve $y = ab^x$ that best fits a set of data points. It is useful when values grow or decay by a constant factor per unit increase in $x$, such as investment growth, cooling temperatures, or radioactive decay. Compare with Linear Regression Calculator or Cubic Regression Calculator.

How It Works

Take the natural log of both sides: $\ln(y) = \ln(a) + x\ln(b)$. Fit a straight line to $(x, \ln(y))$ using least squares, then recover $a = e^c$ and $b = e^m$.

Example

Points $(1,2), (2,5), (3,12), (4,25), (5,50)$ follow roughly $y \approx 1.2 \times 2.3^x$. The $R^2$ value shows how well the curve fits the data.

Related Tools

• Cubic Regression Calculator
• Polynomial Regression Calculator
• Exponential Growth Prediction Calculator