## 3 Results
\begin{table}
\begin{tabular}{l c c c c c c c c c c} \hline \hline
**Feature** & /**_a/_ & /**_e/_ & /**_f/l_ & /**_a/_ & /**_a/_ & /**_e/_ & /**_f/l_ & /**_o/_ & /**_u/_ & /**_u/_ \\ \hline  & \multicolumn{4}{c}{UPDRS III} & \multicolumn{4}{c}{UPDRS IV} \\ \hline PPQ & \(-0.07\) & \(-0.08\) & \(0.26\) & \(-0.09\) & \(-0.10\) & \(-0.11\) & \(-0.26\) & \(-0.08\) & \(-0.17\) & \(-0.08\) \\ APQ & \(-0.06\) & \(-0.05\) & \(0.17\) & \(-0.10\) & \(-0.09\) & \(0.08\) & \(0.12\) & \(-0.01\) & \(0.06\) & \(-0.09\) \\ FLUF & \(0.10\) & \(0.08\) & \(0.11\) & \(0.10\) & \(0.16\) & \(-0.23\) & \(-0.47\) & \(-0.33\) & \({}^{*}\) & \(-0.34\) & \({}^{*}\) & \(-0.32\) \\ HNR (Q2) & \(0.16\) & \(0.07\) & \(-0.05\) & \(0.17\) & \(0.09\) & \(-0.02\) & \(-0.08\) & \(0.07\) & \(0.11\) & \(0.16\) \\ HNR (SD) & \(0.10\) & \(0.11\) & \(-0.04\) & \(-0.05\) & \(-0.15\) & \(0.07\) & \(-0.02\) & \(0.20\) & \(-0.22\) & \(-0.09\) \\ F1 (CV) & \(0.04\) & \(0.10\) & \(-0.17\) & \(-0.02\) & \(0.19\) & \(-0.27\) & \(-0.07\) & \(0.08\) & \(-0.32\) & \({}^{*}\) & \(0.08\) \\ F2 (CV) & \(-0.15\) & \(0.20\) & \(-0.10\) & \(-0.11\) & \(0.11\) & \(-0.37\) & \({}^{*}\) & \(-0.11\) & \(-0.12\) & \(-0.23\) & \(0.04\) \\ F3 (CV) & \(-0.24\) & \(0.25\) & \(-0.23\) & \(-0.17\) & \(0.11\) & \(0.22\) & \(0.28\) & \(0.10\) & \(0.32\) & \({}^{*}\) & \(0.10\) \\ ER (Q2) & \(-0.25\) & \(0.25\) & \(-0.14\) & \(-0.17\) & \(0.17\) & \(0.16\) & \(0.28\) & \(0.12\) & \(0.34\) & \({}^{*}\) & \(0.32\) \\ ER (CV) & \(0.12\) & \(-0.09\) & \(0.22\) & \(-0.03\) & \(0.11\) & \(-0.17\) & \(-0.14\) & \(-0.22\) & \(-0.18\) & \(-0.06\) \\ F0 (CV) & \(0.28\) & \(-0.12\) & \(0.04\) & \(-0.08\) & \(0.17\) & \(0.33\) & \({}^{*}\) & \(-0.04\) & \(-0.24\) & \(-0.16\) & \(-0.21\) \\ GNE (Q2) & \(-0.14\) & \(0.11\) & \(-0.15\) & \(0.06\) & \(-0.17\) & \(-0.35\) & \({}^{*}\) & \(0.25\) & \(0.15\) & \(0.27\) & \(0.33\) \\ GNE (SD) & \(-0.16\) & \(-0.08\) & \(-0.12\) & \(-0.22\) & \(0.24\) & \(0.30\) & \({}^{*}\) & \(-0.01\) & \(-0.04\) & \(0.22\) & \(0.11\) \\ TEO (CV) & \(0.28\) & \(-0.25\) & \(0.11\) & \(0.15\) & \(-0.25\) & \(-0.23\) & \(-0.28\) & \(-0.28\) & \(-0.23\) & \(-0.30\) \\ NNE (Q2) & \(0.28\) & \(-0.25\) & \(-0.09\) & \(0.14\) & \(-0.23\) & \(-0.15\) & \(-0.28\) & \(-0.22\) & \(-0.26\) & \(-0.31\) & \({}^{*}\) \\ NNE (SD) & \(0.09\) & \(-0.25\) & \(0.12\) & \(0.11\) & \(-0.26\) & \(-0.43\) & \({}^{**}\) & \(-0.17\) & \(-0.28\) & \(-0.12\) & \(-0.12\) \\ \hline  & \multicolumn{4}{c}{RBDSQ} & \multicolumn{4}{c}{FOG-Q} \\ \hline PPQ & \(0.15\) & \(0.11\) & \(0.21\) & \(-0.13\) & \(0.33\) & \({}^{*}\) & \(-0.20\) & \(-0.09\) & \(0.15\) & \(-0.09\) & \(0.08\) \\ APQ & \(0.29\) & \({}^{*}\) & \(0.27\) & \(0.21\) & \(0.27\) & \(0.20\) & \(-0.18\) & \(-0.14\) & \(-0.16\) & \(-0.16\) & \(-0.12\) \\ FLUF & \(0.06\) & \(0.06\) & \(-0.22\) & \(-0.17\) & \(-0.24\) & \(0.20\) & \(0.15\) & \(0.13\) & \(0.17\) & \(0.23\) \\ HNR (Q2) & \(-0.20\) & \(-0.17\) & \(-0.19\) & \(-0.27\) & \(-0.20\) & \(0.09\) & \(0.03\) & \(-0.03\) & \(0.09\) & \(-0.05\) \\ HNR (SD) & \(-0.17\) & \(-0.16\) & \(0.21\) & \(-0.36\) & \({}^{*}\) & \(-0.27\) & \(0.07\) & \(0.24\) & \(0.21\) & \(0.18\) & \(0.12\) \\ F1 (CV)Finally, in terms of changes in FOG-Q, we identified significant negative correlations with the change in aperiodicity (FLUF, vowels /a/, /e/, /o/, /u/), tremor of jaw (F1 (CV), vowel /i/), tremor of tongue (F2 (CV), vowel /u/), and variation of acoustic noise (ER (CV), vowels /e/, /i/). One significant positive correlation can be observed with the change in acoustic noise variation (NNE (SD), vowel /o/). The results based on irregular amplitude fluctuations (TEO (CV)) are not consistent. The results of the clinical scales' estimation are reported in Table 5. Using the acoustic analysis of sustained phonation of the baseline vowel /e/ in combination with mathematically modeling based on the XGBoost algorithm, we estimated the change in UPDRS III score with 25.7% error (MAE = 7.3, range(UPDRS III \(\Delta\)) = 29).