Table 4.
Curve estimation regression models
| Equation type | Model form | Code |
|---|---|---|
| Linear | Y = b0 + (b1 * t) | 1 |
| Logarithmic | Y = b0 + (b1 * ln(t)) | 2 |
| Inverse | Y = b0 + (b1 / t) | 3 |
| Quadratic | Y = b0 + (b1 * t) + (b2 * t**2) | 4 |
| Cubic | Y = b0 + (b1 * t) + (b2 * t**2) + (b3 * t**3) | 5 |
| Compound | Y = b0 * (b1**t) or ln(Y) = ln(b0) + (ln(b1) * t) | 6 |
| Power | Y = b0 * (t**b1) or ln(Y) = ln(b0) + (b1 * ln(t)) | 7 |
| S | Y = e**(b0 + (b1/t)) or ln(Y) = b0 + (b1/t) | 8 |
| Growth | Y = e**(b0 + (b1 * t)) or ln(Y) = b0 + (b1 * t) | 9 |
| Exponential | Y = b0 * (e**(b1 * t)) or ln(Y) = ln(b0) + (b1 * t) | 10 |
| Logistic | Y = 1 / (1/u + (b0 * (b1**t))) or ln(1/y-1/u) = ln (b0) + (ln(b1) * t) | 11 |