Statistics

Exponential Regression Calculator

Fit an exponential model y = a*e^(bx) to data.

Calculated Output

a (coefficient) 2.005

b (growth rate) 0.4022

Formula: Linear fit of ln(y) vs x, then a = e^intercept

Step-by-Step Breakdown

1. Values used:

2. x1 = 0

3. y1 = 2

4. x2 = 1

5. y2 = 3

6. x3 = 2

7. y3 = 4.5

8. x4 = 3

9. y4 = 6.7

10. x5 = 4

11. y5 = 10

12.

13. a (coefficient) = 2.005

14. b (growth rate) = 0.4022

Did this calculator solve your problem today?

The math behind it

Take ln(y) to linearize, run a linear regression of ln(y) on x, then a = e^intercept and b is the slope.

Doubling-ish data gives b near 0.4 (about 49% growth per step).

Why must y be positive?

The model takes the logarithm of y, which needs y > 0.