## 3 Results and Discussion
Since the coefficient of determination is high, it can be expected that the high error value is due to the large fluctuations (large variation range of ABTS). This standard error value means that when estimating the ABTS value, a mean error of less than 31.12 \(\upmu\)M TE/100 g fw can be expected. Figure 8 presents the perturbation and contour plots, where it can be seen that the hydro module, the duration, and the extractant have a quadratic influence. To the contrary, the temperature has a linear impact. Figure 8b shows the effect of the hydro module and duration on the ABTS values while keeping temperature and extractant at 70 \({}^{\circ}\)C and 99.9, respectively. Under these conditions, the maximum ABTS (216.50 \(\upmu\)M TE/100 g fw) could be obtained with a hydro module of 10 and a duration time of 30 min. Other authors state that the UAE extraction of plant matrices reveals dose-dependent ABTS values [32]. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multirow{2}{*}{**Source**} & **Sum of** & **df** & **Mean** & **F-** & \(p\)**-** & \\  & **Squares** & **Square** & **Value** & **Value** & \\ \hline Model & 1.713 \(\times\) 10\({}^{5}\) & 8 & 21,413.80 & 12.41 & \textless{}0.0001 & Significant \\ B-Duration & 9710.72 & 1 & 9710.72 & 5.63 & 0.0278 & \\ C-Temperature & 13,444.53 & 1 & 13,444.53 & 7.79 & 0.0113 & \\ AC & 66,007.99 & 1 & 66,007.99 & 38.26 & \textless{}0.0001 & \\ AD & 16,949.28 & 1 & 16,949.28 & 9.82 & 0.0052 & \\ BD & 29,524.68 & 1 & 29,524.68 & 17.11 & 0.0005 & \\ A\({}^{2}\) & 15,323.59 & 1 & 15,323.59 & 8.88 & 0.0074 & \\ B\({}^{2}\) & 19,075.15 & 1 & 19,075.15 & 11.06 & 0.0034 & \\ D\({}^{2}\) & 7659.68 & 1 & 7659.68 & 4.44 & 0.0479 & \\ Residual & 34,504.33 & 20 & 1725.22 & & \\ Lack of Fit & 30,827.64 & 16 & 1926.73 & 2.10 & 0.2479 & not significant \\ Pure Error & 3676.69 & 4 & 919.17 & & \\ Cor Total & \(2.058\times 10^{5}\) & 28 & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 12: ANOVA for Reduced Quadratic model Response 6: ABTS. Figure 8: ABTSS model analysis: (**a**) Perturbation plot; (**b**) contour surface plots of ABTS against hydro module (ratio) and duration (min); (**c**) contour surface plots of ABTS against hydro module (ratio) and temperature; (**d**) contour surface plots of ABTS against hydro module (ratio) and extractant; (**e**) contour surface plots of ABTS against temperature and extractant; (**f**) contour surface plots of ABTS against duration (min) and temperature. Figure 8c shows the effect of the hydro module and temperature on the ABTS while keeping duration and extractant at values of 40 and 99.9, respectively. Under these conditions, the maximum ABTS could be obtained with a hydro module 10 and a temperature of 60 \({}^{\circ}\)C. Figure 8d shows the effect of the hydro module and extractant on the ABTS while keeping duration and temperature at values of 40 and 70 \({}^{\circ}\)C, respectively. Under these conditions, the maximum ABTS could be obtained with a hydro module of 10 and an extractant of 90. Figure 8e shows the effect of temperature and extractant on the ABTS while keeping the hydro module and duration at values of 5 and 20, respectively. Under these conditions, the maximum ABTS could be obtained at 60 \({}^{\circ}\)C and an extractant of 90. Figure 8f shows the effect of duration and temperature on the ABTS while keeping the hydro module and extractant at values of 5 and 99.9, respectively. Under these conditions, the maximum ABTS could be obtained with a duration of 30 and a temperature of 60 \({}^{\circ}\)C.  
A quadratic model explained the dependence of \(\alpha\)-glucosidase on the independent variables (Table 13). The coefficient of determination and the standard error in the Alfa-Gl model are, respectively, 0.97 and 0.0068. The extremely small error is due to both the high value of the coefficient of determination and the low measured values. This value of the standard error means that when evaluating the value of Alfa-Gl, an average error of less than 0.0068 IC 50 g/mL can be expected.