## 4 Results
### Performance of the Models
#### 4.1.2 Error Rates for Age Categories

Table 1: _Cont._ \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Age Group** & **Category** & **Model** & **MSE** & **MAE** & **RMSE** & **MAPE** & **R2** \\ \hline \multirow{6}{*}{05 to 09 years} & ARIMA & 0.0445 & 0.1901 & 0.2108 & 0.4117 & 0.1155 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0554 & 0.2000 & 0.2353 & 0.4075 & 0.0097 \\  & & _Hybrid_ & _0.0237_ & _0.1442_ & _0.1541_ & _0.3136_ & _0.3751_ \\  & & Prophet & 0.1057 & 0.2656 & 0.3251 & 0.4799 & \(-\)2.0613 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0020 & 0.0417 & 0.0453 & 0.0712 & 0.2856 \\  & & LSTM & 0.0018 & 0.0310 & 0.0420 & 0.0497 & 0.3977 \\  & & _Hybrid_ & _0.0010_ & _0.0280_ & _0.0319_ & _0.0344_ & _0.1493_ \\  & & Prophet & 0.0148 & 0.0859 & 0.1215 & 0.1345 & \(-\)1.4655 \\ \hline \multirow{6}{*}{10 to 14 years} & ARIMA & 0.0112 & 0.0929 & 0.1056 & 0.1679 & 0.0206 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0140 & 0.1061 & 0.1183 & 0.1846 & 0.0688 \\  & & _Hybrid_ & _0.0101_ & _0.0845_ & _0.1004_ & _0.1504_ & _0.0770_ \\  & & Prophet & 0.0273 & 0.143 & 0.1652 & 0.1652 & \(-\)0.9431 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0058 & 0.0572 & 0.0761 & 0.1240 & 0.3283 \\  & & LSTM & 0.0079 & 0.0639 & 0.0890 & 0.1169 & 0.2946 \\  & & _Hybrid_ & _0.0029_ & _0.0456_ & _0.0537_ & _0.0632_ & _0.6257_ \\  & & Prophet & 0.0317 & 0.1619 & 0.1780 & 0.2154 & \(-\)1.0946 \\ \hline \multirow{6}{*}{15 to 19 years} & ARIMA & 0.0257 & 0.1459 & 0.1571 & 0.1969 & 0.0586 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0270 & 0.1365 & 0.1642 & 0.1846 & 0.1824 \\  & & _Hybrid_ & _0.0256_ & _0.1341_ & _0.1601_ & _0.1792_ & _0.2258_ \\  & & Prophet & 0.0769 & 0.2243 & 0.2774 & 0.3919 & \(-\)0.6949 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0019 & 0.0428 & 0.0443 & 0.0536 & 0.2529 \\  & & LSTM & 0.0215 & 0.1133 & 0.1467 & 0.1521 & 0.2127 \\  & & _Hybrid_ & _0.0012_ & _0.0264_ & _0.0348_ & _0.0279_ & _0.3815_ \\  & & Prophet & 0.0293 & 0.1462 & 0.1711 & 0.1793 & \(-\)0.5151 \\ \hline \multirow{6}{*}{20 to 24 years} & ARIMA & 0.0082 & 0.0584 & 0.0909 & 0.0682 & 0.2217 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0135 & 0.1071 & 0.1160 & 0.1310 & 0.5725 \\  & & _Hybrid_ & _0.0018_ & _0.0361_ & _0.0420_ & _0.0436_ & _0.8290_ \\  & & Prophet & 0.0256 & 0.1309 & 0.1601 & 0.1498 & \(-\)2.2898 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0045 & 0.0517 & 0.0675 & 0.0704 & 0.2005 \\  & & LSTM & 0.0147 & 0.1144 & 0.1214 & 0.1427 & 0.4443 \\  & & _Hybrid_ & _0.0021_ & _0.0352_ & _0.0453_ & _0.0392_ & _0.4128_ \\  & & Prophet & 0.0319 & 0.1595 & 0.1784 & 0.2025 & \(-\)1.7085 \\ \hline \multirow{6}{*}{25 to 29 years} & ARIMA & 0.0091 & 0.0931 & 0.0999 & 0.1045 & 1.5091 \\  & & LSTM & 0.0045 & 0.0501 & 0.0672 & 0.0660 & 0.5181 \\  & & _Hybrid_ & _0.0039_ & _0.0465_ & _0.0625_ & _0.0620_ & _0.6534_ \\  & & Prophet & 0.0207 & 0.1293 & 0.1440 & 0.1597 & \(-\)1.8633 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0017 & 0.0407 & 0.0413 & 0.0447 & 0.6333 \\  & & LSTM & 0.0104 & 0.0715 & 0.1020 & 0.0866 & 0.3196 \\  & & _Hybrid_ & _0.0002_ & _0.0130_ & _0.0143_ & _0.0154_ & _0.5169_ \\  & & Prophet & 0.0103 & 0.0776 & 0.1016 & 0.0942 & \(-\)0.162 \\ \hline \multirow{6}{*}{30 to 34 years} & ARIMA & 0.0212 & 0.1211 & 0.1457 & 0.1536 & 0.2017 \\  & & LSTM & 0.0134 & 0.0966 & 0.1159 & 0.1141 & 0.1338 \\ \cline{1-1}  & \multirow{2}{*}{New Cancer Cases} & _Hybrid_ & _0.0079_ & _0.0721_ & _0.0889_ & _0.0849_ & _0.1797_ \\ \cline{1-1}  & & Prophet & 0.3214 & 0.2738 & 0.3214 & 0.3220 & \(-\)1.5855 \\ \cline{1-1} \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0015 & 0.0367 & 0.0396 & 0.0447 & 0.2534 \\ \cline{1-1}  & & LSTM & 0.0164 & 0.1075 & 0.1282 & 0.1244 & 0.4915 \\ \cline{1-1}  & & _Hybrid_ & _0.0004_ & _0.0170_ & _0.0205_ & _0.0198_ & _0.4139_ \\ \cline{1-1}  & & Prophet & 0.0185 & 0.1128 & 0.1360 & 0.1310 & \(-\)0.6678 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._