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Statistics Calculators
Exponential Regression Calculator
Fit an exponential model y = ae^(bx) to a set of x and y data points using log-linearization and least-squares regression.
Coefficient a
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Coefficient b
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R² (log-linear fit)
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About the Exponential Regression Calculator
Exponential regression fits curves of the form y = aeᵌᵟ to data that grows or decays at a rate proportional to its current value, such as population growth or radioactive decay. It works by taking the natural log of y to turn the problem into a straight-line fit.
Formula: ln(y) = ln(a) + bx is fit by least squares, then a = eᵀᵉᵀ⁾ₔᵢᵢᵌᵏᵌ and b is the slope of the fitted line
The reported R² measures the fit's quality in log space; a value close to 1 means the exponential model explains the data's growth pattern well.
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