## 3 Results and Discussion
### Optimisation of the Extraction Performance
fruticosa_ polyphenols than \(\beta\)-CD or HP-\(\beta\)-CD within the \(C_{\text{CD}}\) limits tested. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Term** & **Standard Error** & **t Ratio** & **Probability \textgreater{} t** & **Sum of Squares** & **F Ratio** \\ \hline \(\beta\)-\(CD\) & & & & & \\ Intercept & 0.846624 & 51.50 & \textless{}0.0001 * & 6.31901 & - \\ \(C_{\text{CD}}\) & 0.518449 & 1.71 & 0.1471 & 239.91451 & 2.9386 \\ R\({}_{\text{L/S}}\) & 0.518449 & 10.56 & 0.0001 * & 252.90005 & 111.5718 \\ pH & 0.518449 & \textless{}10.84 & 0.0001 * & 12.14523 & 117.6107 \\ \(C_{\text{CD}}\) R\({}_{\text{L/S}}\) & 0.733198 & \textless{}2.38 & 0.0634 & 0.11560 & 5.6481 \\ \(C_{\text{CD}}\) pH & 0.733198 & \textless{}0.23 & 0.8258 & 0.65610 & 0.0538 \\ R\({}_{\text{L/S}}\) pH & 0.733198 & \textless{}0.55 & 0.6045 & 1.93408 & 0.3051 \\ C\({}_{\text{CD}}\)\({}_{\text{CD}}\) & 0.763136 & \textless{}0.95 & 0.3865 & 53.14168 & 0.8994 \\ R\({}_{\text{L/S}}\) R\({}_{\text{L/S}}\) & 0.763136 & \textless{}4.97 & 0.0042 * & 82.82608 & 24.7134 \\ pH pH & 0.763136 & \textless{}6.21 & 0.0016 * & 6.31901 & 38.5181 \\ \hline Lack-of-Fit & & & 0.1067 & 9.972175 & 8.5298 \\ \hline _HP-\(\beta\)-\(CD\)_ & & & & & \\ Intercept & 1.05319 & 44.02 & \textless{}0.0001 * & 1.88180 & - \\ \(C_{\text{CD}}\) & 0.644945 & 0.75 & 0.4859 & 298.77901 & 0.5655 \\ R\({}_{\text{L/S}}\) & 0.644945 & 9.48 & 0.0002 * & 130.81531 & 89.7874 \\ pH & 0.644945 & \textless{}6.27 & 0.0015 * & 3.18623 & 39.3119 \\ \(C_{\text{CD}}\) R\({}_{\text{L/S}}\) & 0.912089 & 0.98 & 0.3728 & 6.94323 & 0.9575 \\ C\({}_{\text{CD}}\) pH & 0.912089 & 1.44 & 0.2082 & 22.94410 & 2.0865 \\ R\({}_{\text{L/S}}\) pH & 0.912089 & \textless{}2.63 & 0.0468 * & 1.93186 & 6.8950 \\ C\({}_{\text{CD}}\)\({}_{\text{CD}}\)\({}_{\text{CD}}\) & 0.949333 & 0.76 & 0.4805 & 9.20776 & 0.5806 \\ R\({}_{\text{L/S}}\) R\({}_{\text{L/S}}\) & 0.949333 & \textless{}1.66 & 0.1571 & 80.32413 & 2.7671 \\ pH pH & 0.949333 & \textless{}4.91 & 0.0044 * & 1.88180 & 24.1386 \\ \hline Lack-of-Fit & & & 0.1153 & 15.332875 & 7.8313 \\ \hline _m-\(\beta\)-\(CD\)_ & & & & & \\ Intercept & 0.547155 & 87.27 & \textless{}0.0001 * & 34.56961 & \\ C\({}_{\text{CD}}\) & 0.273577 & 7.60 & 0.0047 * & 195.89960 & 57.7357 \\ R\({}_{\text{L/S}}\) & 0.335062 & 18.09 & 0.0004 * & 193.40255 & 327.1775 \\ pH & 0.335062 & \textless{}17.97 \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline
**Design Point** & \multicolumn{2}{c}{**Independent Variables**} & \multicolumn{4}{c}{**Response (Y\({}_{\text{TP}}\), mg GAE g\({}^{-1}\) dw)**} \\ \hline  & \(C_{\text{CD}}\) (X\({}_{\text{J}}\)) & \(\mathbf{R}_{\text{L/S}}\) (X\({}_{\text{2}}\)) & \(\mathbf{pH}\) (X\({}_{\text{3}}\)) & \(\mathbf{\beta}\)-CD & \multicolumn{2}{c}{**HP-\(\mathbf{\beta}\)-CD**} & \multicolumn{2}{c}{**m-\(\mathbf{\beta}\)-CD**} \\ \hline  & & & & **Measured** & **Predicted** & **Measured** & **Predicted** & **Measured** & **Predicted** \\ \hline
1 & \(-1\) & \(-1\) & 0 & 30.74 & 30.97 & 39.03 & 39.80 & 38.16 & 38.21 \\
2 & \(-1\) & 1 & 0 & 46.97 & 45.41 & 49.94 & 50.24 & 51.03 & 50.77 \\
3 & 1 & \(-1\) & 0 & 34.68 & 36.24 & 39.29 & 38.99 & 42.54 & 42.80 \\
4 & 1 & 1 & 0 & 43.94 & 43.70 & 53.77 & 53.00 & 54.54 & 54.49 \\
5 & 0 & \(-1\) & \(-1\) & 35.63 & 34.81 & 34.64 & 35.66 & 42.68 & 42.37 \\
6 & 0 & \(-1\) & 1 & 25.35 & 24.38 & 33.85 & 32.36 & 26.50 & 24.47 \\
7 & 0 & 1 & \(-1\) & 45.60 & 46.57 & 51.18 & 52.67 & 48.64 & 48.64 \\
8 & 0 & 1 & 1 & 33.70 & 34.52 & 40.81 & 39.79 & 42.13 & 42.44 \\
9 & \(-1\) & 0 & \(-1\) & 42.12 & 42.70 & 49.09 & 47.30 & 48.47 & 48.73 \\
10 & 1 & 0 & \(-1\) & 45.56 & 44.82 & 46.35 & 45.63 & 51.03 & 51.08 \\
11 & \(-1\) & 0 & 1 & 31.06 & 31.80 & 35.86 & 36.58 & 34.93 & 34.88 \\
12 & 1 & 0 & 1 & 33.82 & 33.24 & 38.39 & 40.18 & 41.11 & 40.85 \\
13 & 0 & 0 & 0 & 43.93 & 43.60 & 45.72 & 46.36 & 48.56 & 47.75 \\
14 & 0 & 0 & 0 & 43.99 & 43.60 & 46.10 & 46.36 & 48.50 & 47.75 \\
15 & 0 & 0 & 0 & 42.88 & 43.60 & 47.27 & 46.36 & 46.94 & 47.75 \\ \hline \hline \end{tabular}
\end{table}