## 3 Materials and Methods
\begin{table}
\begin{tabular}{l l l l l l l l l} \hline \hline  & **Fixed** & **Computer** & **Digital** & **Fiber** & **Cable** & **One** & **Two** & **Three** \\  & **Broadband** & **Equipment** & **TV** & **Optic** & **Modem** & **Service** & **Services** & **Services** \\ \hline Fixed broadband & 1.000000 & 0.894810 & 0.759904 & 0.506695 & 0.207507 & \(-\)0.716498 & 0.816149 & 0.917950 \\ Computer equipment & 0.894810 & 1.000000 & 0.749069 & 0.480001 & 0.257393 & \(-\)0.490654 & 0.821231 & 0.879336 \\ Digital TV & 0.759904 & 0.749069 & 1.000000 & 0.390023 & 0.211686 & \(-\)0.487100 & 0.684593 & 0.765491 \\ Fiber optic & 0.506695 & 0.480001 & 0.390023 & 1.000000 & \(-\)0.520216 & \(-\)0.285017 & 0.256443 & 0.476297 \\ Cable modem & 0.207507 & 0.257393 & 0.211686 & \(-\)0.520216 & 1.000000 & \(-\)0.116514 & 0.317540 & 0.230639 \\ One service & \(-\)0.716498 & \(-\)0.490654 & \(-\)0.487100 & \(-\)0.2885017 & \(-\)0.116514 & 1.000000 & \(-\)0.460922 & \(-\)0.675027 \\ Two services & 0.816149 & 0.821231 & 0.684593 & 0.256443 & 0.317540 & \(-\)0.460922 & 1.000000 & 0.663341 \\ Three services & 0.917950 & 0.879336 & 0.765491 & 0.476297 & 0.230639 & \(-\)0.675027 & 0.663341 & 1.000000 \\ \hline \hline \end{tabular}
\end{table} 
Table 10: Correlation matrix showing relationships between broadband access, telecommunications services, and technology adoption in households in 2022. \begin{table}
\begin{tabular}{l l l l l l l l l} \hline \hline  & **Fixed** & **Computer** & **Digital** & **Fiber** & **Cable** & **One** & **Two** & **Three** \\  & **Broadband** & **Equipment** & **TV** & **Optic** & **Modem** & **Service** & **Services** & **Services** \\ \hline Fixed broadband & 1.000000 & 0.895190 & 0.768875 & 0.485714 & 0.176637 & \(-\)0.764864 & 0.819094 & 0.913101 \\ Computer equipment & 0.895190 & 1.000000 & 0.768517 & 0.454065 & 0.229037 & \(-\)0.533752 & 0.822934 & 0.880537 \\ Digital TV & 0.768875 & 0.768517 & 1.000000 & 0.388323 & 0.1878858 & \(-\)0.517181 & 0.693808 & 0.770785 \\ Fiber optic & 0.485714 & 0.454065 & 0.388323 & 1.000000 & \(-\)0.550459 & \(-\)0.032288 & 0.226669 & 0.465302 \\ Cable modem & 0.176637 & 0.229037 & 0.187858 & \(-\)0.550459 & 1.000000 & \(-\)0.116200 & 0.300278 & 0.191932 \\ One service & \(-\)0.764864 & \(-\)0.533752 & \(-\)0.517181 & \(-\)0.302288 & \(-\)0.116200 & 1.000000 & \(-\)0.495644 & \(-\)0.721532 \\ Two services & 0.819094 & 0.822934 & 0.693808 & 0.226669 & 0.300278 & \(-\)0.495644 & 1.000000 & 0.649757 \\ Three services & 0.913101 & 0.880537 & 0.770785 & 0.465302 & 0.191932 & \(-\)0.721532 & 0.649757 & 1.000000 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Correlation matrix showing relationships between broadband access, telecommunications services, and technology adoption in households in 2021. The correlation tables (Tables 3-11) suggest consistent values in the relationship between fiber optic use and fixed broadband across multiple years. However, these seemingly stable correlations do not necessarily contradict the claim of fiber optic growth. Rather, they underscore that while fiber optics have increasingly penetrated the market as an alternative to traditional broadband technologies, they may still play a complementary role in enhancing overall broadband infrastructure. Thus, even as fiber optic installations expand, the correlation remains close to other services, reflecting both the complementary use of multiple technologies within households and the slower pace of market replacement for fixed broadband services. This underscores that growth in fiber optics is indeed occurring, albeit within an established broadband ecosystem where multiple access technologies coexist. In Figures 3 and 4, we show comparative insights that reveal a shift toward bundled telecommunications services, preferences for high-speed internet access, and a competitive trend favoring fiber optic technology over cable modems. The matrices reflect an ongoing evolution in consumer behavior influenced by technological advancement and an increasing integration of digital services in households.