## 4 Results
### Forecasting New Cancer Cases and Incidence Rate  
Among the other models, the hybrid model is the optimum model for predicting the values for geography categories from 2022 to 2026. Table 4 shows the results extracted from the mentioned model. \begin{table}
\begin{tabular}{c c c c c c c} \hline \multicolumn{2}{c}{**Geography/Predicted Years**} & **2022** & **2023** & **2024** & **2025** & **2026** \\ \hline \multirow{3}{*}{Alberta} & New Cancer Cases & 23,907 & 24,387 & 24,702 & 24,975 & 25,927 \\  & Cancer Incidence Rate & 443.8 & 462.2 & 461.7 & 433.7 & 458.9 \\ \hline \multirow{3}{*}{British Columbia} & New Cancer Cases & 31,801 & 32,438 & 32,729 & 32,728 & 33,456 \\  & Cancer Incidence Rate & 531.3 & 539.5 & 540.6 & 537.9 & 545.7 \\ \hline \multirow{3}{*}{Manitoba} & New Cancer Cases & 8181 & 8300 & 8374 & 8418 & 8530 \\  & Cancer Incidence Rate & 505.3 & 516.0 & 517.2 & 513.1 & 509.3 \\ \hline \multirow{3}{*}{New Brunswick} & New Cancer Cases & 5959 & 5999 & 6033 & 6076 & 6187 \\  & Cancer Incidence Rate & 656.8 & 657.3 & 648.5 & 647.9 & 662.2 \\ \hline \multirow{3}{*}{Newfoundland and Labrador} & New Cancer Cases & 4171 & 4116 & 4062 & 3976 & 4012 \\  & Cancer Incidence Rate & 693.4 & 690.7 & 678.8 & 650.3 & 596.1 \\ \hline \multirow{3}{*}{Northwest Territories} & New Cancer Cases & 241 & 237 & 244 & 240 & 263 \\  & Cancer Incidence Rate & 389.0 & 400.4 & 396.4 & 375.7 & 341.8 \\ \hline \end{tabular}
\end{table} 
Table 4: Predicted number of new cancer cases and cancer incidence rates by regions in Canada. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \multicolumn{2}{c}{**Sex**} & **Category** & **Model** & **MSE** & **MAE** & **RMSE** & **MAPE** & \(\mathbf{R^{2}}\) \\ \hline \multirow{8}{*}{Males} & \multirow{8}{*}{New Cancer Cases} & ARIMA & 0.0061 & 0.0506 & 0.0781 & 0.0552 & 0.0908 \\  & & _LSTM_ & _0.0023_ & _0.0219_ & _0.0481_ & _0.0244_ & _0.5148_ \\  & & Hybrid & 0.0029 & 0.0364 & 0.0537 & 0.0399 & 0.3304 \\  & & Prophet & 0.0031 & 0.0433 & 0.0557 & 0.0478 & 0.4621 \\ \cline{2-8}  & \multirow{8}{*}{Cancer Incidence Rate} & ARIMA & 0.0069 & 0.0728 & 0.0833 & 0.0772 & 0.1768 \\  & & _LSTM_ & _0.0022_ & _0.0415_ & _0.0465_ & _0.0454_ & _0.0470_ \\  & & Hybrid & 0.0036 & 0.0491 & 0.0600 & 0.0530 & 0.0662 \\  & & Prophet & 0.0093 & 0.0827 & 0.0967 & 0.08276 & \(-1.8708\) \\ \hline \multirow{8}{*}{Females} & \multirow{8}{*}{New Cancer Cases} & ARIMA & 0.0055 & 0.0484 & 0.0740 & 0.0529 & 0.4091 \\  & & _LSTM_ & _0.0019_ & _0.0248_ & _0.0436_ & _0.0288_ & _0.3378_ \\  & & Hybrid & 0.0019 & 0.0259 & 0.0437 & 0.0292 & 0.3402 \\  & & Prophet & 0.0021 & 0.0338 & 0.0463 & 0.0377 & 0.5566 \\ \cline{2-8}  & \multirow{8}{*}{Cancer Incidence Rate} & ARIMA & 0.0058 & 0.0714 & 0.0761 & 0.0714 & 0.1504 \\  & & _LSTM_ & _0.0017_ & _0.0324_ & _0.0413_ & _0.0329_ & _0.2201_ \\  & & Hybrid & 0.0045 & 0.0606 & 0.0672 & 0.0626 & 0.8291 \\  & & Prophet & 0.0065 & 0.0582 & 0.0805 & 0.0587 & \(-0.1023\) \\ \hline \multirow{8}{*}{Both Seexes} & \multirow{8}{*}{New Cancer Cases} & ARIMA & 0.0054 & 0.0445 & 0.0741 & 0.0489 & 0.5487 \\  & & _LSTM_ & _0.0021_ & _0.0226_ & _0.0454_ & _0.0258_ & _0.4082_ \\  & & Hybrid & 0.0024 & 0.0297 & 0.0493 & 0.0300 & 0.3410 \\  & & Prophet & 0.0032 & 0.0478 & 0.0562 & 0.0532 & 0.3917 \\ \cline{1-1} \cline{2-8}  & \multirow{8}{*}{Cancer Incidence Rate} & ARIMA & 0.0036 & 0.0520 & 0.0603 & 0.0532 & 0.0001 \\  & & _LSTM_ & _0.0013_ & _0.0292_ & _0.0366_ & _0.0301_ & _0.0165_ \\ \cline{1-1}  & & Hybrid & 0.0038 & 0.0562 & 0.0618 & 0.0592 & 0.3813 \\ \cline{1-1}  & & Prophet & 0.0075 & 0.0679 & 0.0867 & 0.0703 & \(-0.6117\) \\ \hline \end{tabular}
\end{table} 
Table 3: Error rates of sex-based categories for new cancer cases and cancer incidence rate. Compared with the other models, the hybrid model is the optimum model for predicting the values for age group categories from 2022 to 2026. Table 5 demonstrates the results extracted from the model mentioned.