Exponential Regression Calculator

Your details

Enter the x (predictor) values, one per line or separated by commas. Order does not matter but each x must pair with the y in the same position.
Enter the y (response) values in the same order as the x values. All y values must be strictly positive because the method takes their natural log.
Enter any x value and the calculator will use the fitted model to predict the corresponding y.
Coefficient aExcellent fit
2.6016

The y-intercept of the model: the value of y when x = 0.

Base b1.0159
Natural growth rate k0.0158
R-squared0.9946
Doubling / half-life time43.993
Predicted y9.1758
Data points used8
_growing1
0.9946 R²
Poor fit<0.6Moderate fit0.6-0.8Good fit0.8-0.95Excellent fit0.95+

Exponential growth model fitted to 8 data points.

  • The fitted model is y = 2.6016 * 1.0159^x, so y grows by 1.59% for every one-unit increase in x.
  • R-squared is 0.9946, meaning the model explains 99.5% of the variance in y.
  • Doubling time: 43.993 x-units (derived from ln(2) / |k| = ln(2) / 0.0158).
  • At x = 80, the model predicts y = 9.1758.

Next stepThe fit is strong. To validate further, check that the residuals (observed y minus predicted y) are randomly scattered with no systematic pattern.

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