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. 2026 Jul 28;16:23405. doi: 10.1038/s41598-026-50708-7

Table 1.

Equations of multiple linear and non-linear regression.

Model types Equation References Eq
Linear

Inline graphic

Where Inline graphic and Inline graphic​ are coefficients for the predictor Inline graphic, and Inline graphic is the error.

(36) 2
Exponential

Inline graphic

Where a is a constant, Inline graphic and Inline graphic​ are coefficients for each predictor Inline graphic

(37) 3
Logarithmic

Inline graphic

Where Inline graphic and Inline graphic​ are coefficients for the predictors.

(38) 4