## 2 Results and Discussion
### Desorption
\begin{table}
\begin{tabular}{l c c c c c c c c c c} \hline \hline  & \multicolumn{2}{c}{**Y\({}_{1}\): Phenolic Desorption**} & \multicolumn{2}{c}{**Y\({}_{2}\): Sugars Desorption Yield**} & \multicolumn{2}{c}{**Y\({}_{3}\): Total phenolic Content**} & \multicolumn{2}{c}{**Y\({}_{4}\): Total Sugar Content**} & \multicolumn{2}{c}{**Y\({}_{5}\): Radical Scavenging**} \\  & \multicolumn{2}{c}{**Yield (\%)**} & \multicolumn{2}{c}{**(\%)**} & \multicolumn{2}{c}{**(\%)**} & \multicolumn{2}{c}{**(g CAE/g extract)**} & \multicolumn{2}{c}{**(g D-glucose/g extract)**} & \multicolumn{2}{c}{**Activity (mM Trolex)**} \\ \cline{2-11}  & coefficient & probability & coefficient & probability & coefficient & probability & coefficient & probability \\ \hline \multicolumn{11}{l}{_Dileom HP20_} \\ \hline
**a\({}_{\mathbf{a}}\)** & 64.5 & \(3.80\times 10^{-11}\) & 22.2 & \(1.64\times 10^{-12}\) & 0.469 & \(1.32\times 10^{-12}\) & 0.261 & \(5.22\times 10^{-11}\) & 11.1 & \(5.14\times 10^{-9}\) \\
**a\({}_{\mathbf{r}}\)** & \(-0.142\) & 0.799 & 0.362 & 0.063 & \(-0.001\) & 0.751 & 0.004 & 0.212 & \(-0.158\) & 0.561 \\
**a\({}_{\mathbf{c}}\)** & 1.70 & 0.016 & 0.393 & 0.048 & 0.021 & 0.000 & 0.009 & 0.023 & 0.989 & 0.007 \\
**a\({}_{\mathbf{r}x}\)** & \(-1.42\) & 0.103 & \(-0.043\) & 0.857 & \(-0.015\) & 0.015 & \(-0.003\) & 0.547 & 0.587 & 0.154 \\
**a\({}_{\mathbf{r}T}\)** & \(-0.228\) & 0.704 & 0.298 & 0.133 & 0.004 & 0.292 & 0.007 & 0.082 & \(-0.057\) & 0.844 \\
**a\({}_{\mathbf{r}x}\)** & \(-1.66\) & 0.023 & \(-0.333\) & 0.099 & 0.001 & 0.797 & 0.004 & 0.325 & 0.302 & 0.314 \\ \hline
**R\({}^{\mathbf{c}}\)** & 0.758 & & 0.721 & & 0.878 & & 0.688 & & 0.728 \\
**Error** & & 1.519 & & 0.463 & & 0.009 & & 0.009 & & 0.734 \\
**F** & 4.39 & & 3.62 & & 10.1 & & 3.09 & & 3.75 \\ \hline \multicolumn{11}{l}{_Spends SP207_} \\ \hline
**a\({}_{\mathbf{a}}\)** & 57.6 & \(2.19\times 10^{-11}\) & 24.8 & \(1.86\times 10^{8}\) & 0.400 & \(9.74\times 10^{-8}\) & 0.240 & \(1.14\times 10^{8}\) & 11.7 & \(1.03\times 10^{-10}\) \\
**a\({}_{\mathbf{r}}\)** & 1.72 & 0.027 & 0.672 & 0.367 & 0.002 & 0.864 & \(-0.002\) & 0.767 & \(-0.184\) & 0.277 \\
**a\({}_{\mathbf{r}x}\)** & 2.65 & 0.004 & \(-1.60\) & 0.056 & 0.022 & 0.169 & \(-0.015\) & 0.051 & 0.447 & 0.024 \\
**a\({}_{\mathbf{r}x}\)** & \(-0.819\) & 0.379 & 0.348 & 0.735 & 0.009 & 0.647 & 0.011 & 0.248 & 0.347 & 0.161 \\
**a\({}_{\mathbf{r}x}\)** & 0.576 & 0.413 & \(-0.621\) & 0.433 & 0.039 & 0.039 & 0.011 & 0.143 & 0.266 & 0.157 \\
**a\({}_{\mathbf{r}x}\)** & \(-1.25\) & 0.101 & 0.673 & 0.397 & 0.013 & 0.420 & 0.022 & 0.015 & 0.166 & 0.355 \\ \hline
**R\({}^{\mathbf{c}}\)** & 0.821 & & 0.535 & & 0.572 & & 0.730 & & 0.684 \\
**Error** & 1.74 & & 1.97 & & 0.0405 & & 0.0178 & & 0.442 \\
**F** & 6.41 & & 1.61 & & 1.87 & & 3.79 & & 3.03 \\ \hline \multicolumn{11}{l}{_Ambertile XAD16 HP_} \\ \hline
**a\({}_{\mathbf{a}}\)** & 50.4 & \(4.94\times 10^{-11}\) & 17.8 & \(1.47\times 10^{-9}\) & 0.437 & \(8.12\times 10^{-9}\) & 0.247 & \(2.70\times 10^{8}\) & 13.3 & \(1.92\times 10^{-11}\) \\
**a\({}_{\mathbf{r}}\)** & 0.694 & 0.290 & 0.021 & 0.953 & 0.002 & 0.837 & \(-0.001\) & 0.879 & 0.114 & 0.443 \\
**a\({}_{\mathbf{a}x}\)** & 1.02 & 0.137 & \(-0.289\) & 0.433 & \(-0.001\) & 0.919 & \(-0.009\) & 0.266 & 0.323 & 0.0545 \\
**a\({}_{\mathbf{r}x}\)** & \(-1.27\) & 0.182 & \(-0.283\) & 0.583 & 0.032 & 0.075 & 0.022 & 0.069 & \(-0.500\) & 0.039 \\
**a\({}_{\mathbf{r}T}\)** & \(-0.787\) & 0.265 & 0.173 & 0.656 & \(-0.020\) & 0.125 & \(-0.006\) & 0.510 & \(-2.24\) & \(1.45\times 10^{-6}\) \\
**a\({}_{\mathbf{r}x}\)** & \(-4.58\) & 0.0002 & \(-1.32\) & 0.009 & \(-0.059\) & 0.001 & \(-0.029\) & 0.008 & \(-2.52\) & \(6.62\times 10^{-7}\) \\ \hline
**R\({}^{\mathbf{c}}\)** & 0.889 & & 0.672 & & 0.819 & & 0.736 & & 0.985 \\
**Error** & 1.71 & & 0.983 & & 0.031 & & 0.021 & & 0.396 \\
**F** & 11.2 & & 2.87 & & 6.35 & & 3.90 & & 91.6 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Regression coefficients and statistical parameters for the objective functions.