Skip to main content
. 2023 Feb 27:1–48. Online ahead of print. doi: 10.1007/s10639-023-11635-6

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