## 3 Materials and Methods
Fixed broadband is highly correlated with computer equipment (0.89), reinforcing the idea that households with greater access to computers are more likely to adopt broadband. The strong correlation with households subscribing to three services (0.92) suggests that bundling multiple services remains a key driver for broadband adoption. Interestingly, fiber optic technology shows only a moderate correlation with fixed broadband (0.49), reflecting that while fiber is important, it has not yet become the dominant broadband technology. Cable modem exhibits a much weaker correlation (0.18), indicating its diminishing role in regions with modern telecommunications infrastructure. The negative correlation between one-service households and broadband access (\(-0.76\)) highlights a persistent digital divide, where households with fewer services are less likely to adopt broadband. This gap underscores the disparities in technology access and the importance of bundled services in promoting connectivity. The 2021 correlation matrix in Table 9 shows strong links between broadband access, technology adoption, and service bundling. Fixed broadband has a high correlation with computer equipment (0.90), indicating that households with more access to technology are more likely to adopt broadband. Additionally, there is a strong relationship between fixed broadband and households subscribing to three services (0.91), underscoring that service bundling plays a significant role in broadband adoption. Fiber optic technology shows a moderate correlation with fixed broadband (0.49), suggesting that although fiber optics is growing, it is not yet the leading broadband technology. Conversely, cable modem has a weaker correlation (0.18), signaling its decline in more advanced regions. The negative correlation between one-service households and broadband access (\(-0.76\)) highlights the digital divide, where households with fewer services have significantly less broadband access. This disparity emphasizes the importance of both bundled services and technological infrastructure in driving broadband penetration and addressing connectivity gaps. \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 & 0.885082 & 0.736225 & 0.495898 & 0.257323 & \(-0.781952\) & 0.817512 & 0.952958 \\ Computer equipment & 0.885082 & 1.000000 & 0.738755 & 0.497944 & 0.229856 & \(-0.562160\) & 0.900849 & 0.849793 \\ Digital TV & 0.736225 & 0.738755 & 1.000000 & 0.382302 & 0.165753 & \(-0.592146\) & 0.686296 & 0.722573 \\ Fiber optic & 0.495989 & 0.497944 & 0.382302 & 1.000000 & \(-0.492840\) & \(-0.4583987\) & 0.390471 & 0.496118 \\ Cable modem & 0.257323 & 0.229856 & 0.165753 & \(-0.492840\) & 1.000000 & 0.03933 & 0.285725 & 0.150481 \\ One service & \(-0.781952\) & \(-0.562160\) & \(-0.592146\) & \(-0.483987\) & 0.035933 & 1.000000 & \(-0.540067\) & \(-0.764224\) \\ Two services & 0.817512 & 0.900849 & 0.686296 & 0.390471 & 0.285725 & \(-0.540067\) & 1.000000 & 0.749639 \\ Three services & 0.952958 & 0.849793 & 0.722573 & 0.496118 & 0.150481 & \(-0.764224\) & 0.749639 & 1.000000 \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Correlation matrix showing relationships between broadband access, telecommunications services, and technology adoption in households in 2019.