## 3 Materials and Methods
The 2019 correlation matrix in Table 7 reveals strong connections between broadband access, technology adoption, and the bundling of telecommunications services in households. Fixed broadband shows a high correlation with computer equipment (0.89), indicating that households with greater access to computers are more likely to have broadband services. The correlation between fixed broadband and households with three services is particularly strong (0.95), reinforcing the idea that bundling multiple services drives broadband adoption. Moderate correlations with fiber optic technology (0.50) suggest that while fiber is important for broadband access, its impact is still evolving. On the other hand, cable modem exhibits a weaker correlation (0.26), indicating its reduced relevance in regions with modern infrastructure. The negative correlation between one-service households and broadband access (\(-0.78\)) highlights the digital divide, showing that fewer service subscriptions are linked to lower broadband adoption. \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**tic & **Modem** & **Service** & **Services** & **Services** \\ \hline Fixed broadband & 1.000000 & 0.8668092 & 0.691000 & 0.526587 & 0.438583 & \(-0.780509\) & 0.792222 & 0.917220 \\ Computer equipment & 0.868092 & 1.000000 & 0.745583 & 0.495592 & 0.273335 & \(-0.552066\) & 0.888102 & 0.839517 \\ Digital TV & 0.691000 & 0.745583 & 1.000000 & 0.470688 & 0.199581 & \(-0.590455\) & 0.674643 & 0.723552 \\ Fiber optic & 0.526587 & 0.495592 & 0.470688 & 1.000000 & \(-0.179148\) & \(-0.513277\) & 0.377769 & 0.488648 \\ Cable modem & 0.438583 & 0.273335 & 0.199581 & \(-0.179148\) & 1.000000 & \(-0.179256\) & 0.338750 & 0.203630 \\ One service & \(-0.780509\) & \(-0.550266\) & \(-0.590455\) & \(-0.513277\) & \(-0.179256\) & 1.000000 & \(-0.515744\) & \(-0.0747310\) \\ Two services & 0.792222 & 0.888102 & 0.674643 & 0.377769 & 0.338750 & \(-0.515744\) & 1.000000 & 0.725897 \\ Three services & 0.917220 & 0.839517 & 0.723552 & 0.488648 & 0.203630 & \(-0.747310\) & 0.725897 & 1.000000 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Correlation matrix showing relationships between broadband access, telecommunications services, and technology adoption in households in 2018. \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**tic & **Modem** & **Service** & **Services** & **Services** \\ \hline Fixed broadband & 1.000000 & 0.866752 & 0.621493 & 0.586225 & 0.439649 & \(-0.809909\) & 0.465468 & 0.876769 \\ Computer equipment & 0.866752 & 1.000000 & 0.676989 & 0.520591 & 0.286243 & \(-0.668284\) & 0.700195 & 0.870984 \\ Digital TV & 0.621493 & 0.676989 & 1.000000 & 0.602120 & 0.156982 & \(-0.461860\) & 0.316392 & 0.619053 \\ Fiber optic & 0.586225 & 0.520591 & 0.602120 & 1.000000 & \(-0.116813\) & \(-0.453221\) & 0.146332 & 0.504131 \\ Cable modem & 0.439649 & 0.286243 & 0.156982 & \(-0.116813\) & 1.000000 & \(-0.223287\) & 0.346894 & 0.223005 \\ One service & \(-0.809909\) & \(-0.668284\) & \(-0.461860\) & \(-0.453221\) & \(-0.223287\) & 1.000000 & \(-0.283728\) & \(-0.814433\) \\ Two services & 0.465468 & 0.700195 & 0.316392 & 0.146332 & 0.346894 & \(-0.283728\) & 1.000000 & 0.464148 \\ Three services & 0.876769 & 0.870984 & 0.619053 & 0.504131 & 0.223005 & \(-0.814433\) & 0.464148 & 1.000000 \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Correlation matrix showing relationships between broadband access, telecommunications services, and technology adoption in households in 2017. The 2020 correlation matrix in Table 8 reveals strong patterns in broadband access, technology adoption, and service bundling in households.