Table 5 Regression coefficients of the second-order polynomial model for the response variables
Response | Regression equation | Brief model | Fitted model |
|---|---|---|---|
WVP (10–11 g/m s Pa) | \(6.11 \, - 0.95{x_1} + \, 0.49{x_2} - 1.47{x_3} - \,0.95{x_1x_3} + 0.8864{x_1}^{2}\) | R2 = 0.9281 Adjusted R2 = 0.8635 | Quadratic |
Water Solubility (%) | \(37.32 \, + 7.15{x_1} + \, 2.34{x_2} - \, 3.47{x_3} + 2.34{x_1x_3} - 4.72{x_1}^{2} + 2.78{x_3}^{2}\) | R2 = 0.9558 Adjusted R2 = 0.9160 | Quadratic |
Tensile Strength (MPa) | \(4.28 \, + 0.47{x_1} - \, 0.65{x_2} + \, 1.13{x_3} + 0.525{x_1x_3} - 1.02{x_3}^{2}\) | R2 = 0.8906 Adjusted R2 = 0.7921 | Quadratic |
Elongation (%) | \(39.31 \, + 4.53{x_1} + \, 1.40{x_2} + \, 5.45{x_3} + 3.81{x_1x_3} - 2.57{x_1}^{2}\) | R2 = 0.9591 Adjusted R2 = 0.9223 | Quadratic |
Thickness (mm) | \(0.163 \, + 0.036{x_1} + \, 0.021{x_3} - 0.0113{x_1x_3}\) | R2 = 0.8882 Adjusted R2 = 0.8366 | Linear 2FI |
Antioxidant activity (%) | \(42.90 \, - 1.62{x_1} + \, 17.56{x_3} - \, 7.41{x_3}^{2}\) | R2 = 0.9881 Adjusted R2 = 0.9775 | Quadratic |