## 4 Results
### Performance of the Models
#### 4.1.2 Error Rates for Age Categories
\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{4}{*}{35 to 39 years} & ARIMA & 0.0040 & 0.0504 & 0.0635 & 0.0698 & 0.8737 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0115 & 0.0984 & 0.1070 & 0.1378 & 0.5311 \\  & & _Hybrid_ & _0.0039_ & _0.0484_ & _0.0627_ & _0.0679_ & _0.8771_ \\  & & Prophet & 0.0052 & 0.0602 & 0.0724 & 0.0865 & 0.7172 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0029 & 0.0438 & 0.0543 & 0.0494 & 0.5215 \\  & & LSTM & 0.0114 & 0.1009 & 0.1065 & 0.1131 & 0.0491 \\  & & _Hybrid_ & _0.0014_ & _0.0282_ & _0.0368_ & _0.0310_ & _0.2678_ \\  & & Prophet & 0.0254 & 0.1307 & 0.1594 & 0.1395 & \(-\)0.3627 \\ \hline \multirow{4}{*}{40 to 44 years} & ARIMA & 0.0077 & 0.1023 & 0.1329 & 0.1390 & 0.6226 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0036 & 0.0574 & 0.0598 & 0.0685 & 0.4477 \\  & & _Hybrid_ & _0.0015_ & _0.0331_ & _0.0391_ & _0.0371_ & _0.5223_ \\  & & Prophet & 0.0200 & 0.1269 & 0.1416 & 0.1641 & 0.1681 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0024 & 0.0466 & 0.0499 & 0.0540 & 0.1890 \\  & & LSTM & 0.0098 & 0.0893 & 0.0990 & 0.0981 & 0.1507 \\  & & _Hybrid_ & _0.0001_ & _0.0072_ & _0.0105_ & _0.0074_ & _0.2190_ \\  & & Prophet & 0.0112 & 0.0855 & 0.1058 & 0.1006 & \(-\)1.7236 \\ \hline \multirow{4}{*}{45 to 49 years} & ARIMA & 0.0070 & 0.0592 & 0.0835 & 0.0989 & 0.8396 \\  & \multirow{2}{*}{New Cancer Cases} & LSTM & 0.0035 & 0.0545 & 0.0590 & 0.0900 & 0.2453 \\  & & _Hybrid_ & _0.0020_ & _0.0370_ & _0.0450_ & _0.0613_ & _0.7002_ \\  & & Prophet & 0.0554 & 0.1919 & 0.2355 & 0.1978 & \(-\)0.3463 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0067 & 0.0566 & 0.0823 & 0.1302 & 0.2436 \\  & & LSTM & 0.0122 & 0.0805 & 0.1106 & 0.1737 & 0.0910 \\  & & _Hybrid_ & _0.0001_ & _0.0084_ & _0.0100_ & _0.0174_ & _0.9899_ \\  & & Prophet & 0.0135 & 0.0998 & 0.1286 & 0.2087 & \(-\)1.6021 \\ \hline \multirow{4}{*}{50 to 54 years} & ARIMA & 0.0053 & 0.0660 & 0.0727 & 0.0903 & 0.3711 \\  & & LSTM & 0.0055 & 0.0491 & 0.0742 & 0.0736 & 0.2727 \\  & & _Hybrid_ & _0.0020_ & _0.0328_ & _0.0448_ & _0.0444_ & _0.8250_ \\  & & Prophet & 0.1113 & 0.3037 & 0.3336 & 0.3778 & \(-\)0.7868 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0002 & 0.0137 & 0.0144 & 0.0355 & 0.4636 \\  & & LSTM & 0.0074 & 0.0578 & 0.0859 & 0.1351 & 0.2222 \\  & & _Hybrid_ & _0.0001_ & _0.0034_ & _0.0039_ & _0.0098_ & _0.9734_ \\  & & Prophet & 0.0320 & 0.1613 & 0.1790 & 0.1922 & \(-\)3.2580 \\ \hline \multirow{4}{*}{55 to 59 years} & ARIMA & 0.0053 & 0.0542 & 0.0726 & 0.0574 & 0.6032 \\  & & LSTM & 0.0056 & 0.0504 & 0.0750 & 0.0578 & 1.2721 \\  & & _Hybrid_ & _0.0023_ & _0.0368_ & _0.0475_ & _0.0401_ & _0.1101_ \\  & & Prophet & 0.0230 & 0.1342 & 0.1518 & 0.1448 & \(-\)1.794 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0068 & 0.0542 & 0.0829 & 0.0341 & 0.4939 \\  & & LSTM & 0.0043 & 0.0483 & 0.0655 & 0.0897 & 0.6194 \\  & & _Hybrid_ & _0.0002_ & _0.0112_ & _0.0150_ & _0.0202_ & _0.7621_ \\  & & Prophet & 0.0122 & 0.0926 & 0.1106 & 0.1004 & \(-\)0.8536 \\ \hline \multirow{4}{*}{60 to 64 years} & ARIMA & 0.0044 & 0.0595 & 0.0665 & 0.0642 & 0.7781 \\  & & LSTM & 0.0034 & 0.0463 & 0.0586 & 0.0510 & 0.2373 \\ \cline{2-8}  & \multirow{4}{*}{New Cancer Cases} & _Hybrid_ & _0.0023_ & _0.0231_ & _0.0481_ & _0.0262_ & _0.5316_ \\  & & Prophet & 0.0026 & 0.0406 & 0.0513 & 0.0462 & 0.6347 \\ \cline{2-8}  & \multirow{4}{*}{Cancer Incidence Rate} & ARIMA & 0.0048 & 0.0639 & 0.0739 & 0.0402 & 0.4163 \\ \cline{2-8}  & & LSTM & 0.0093 & 0.0861 & 0.0963 & 0.0426 & 0.5478 \\ \cline{2-8}  & & _Hybrid_ & _0.0002_ & _0.0142_ & _0.0150_ & _0.0182_ & _0.5654_ \\ \cline{2-8}  & & Prophet & 0.0119 & 0.0987 & 0.1103 & 0.0743 & 0.2763 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._