## 4 Predictive Analysis
### Prediction of Key Indicators  
According to Equations (6)-(12), the GM (1,1) model is used to predict the future values of 10 key indicators in 2020-2024. The results are shown in Table 6.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Key Indicators** & **2020** & **2021** & **2022** & **2023** & **2024** \\ \hline R\&D investment intensity (Y\({}_{1}\)) & 2.2286 & 2.2795 & 2.3316 & 2.3849 & 2.4394 \\ R\&D investment in computer communication & 28.3083 & 31.8386 & 35.8092 & 40.2749 & 45.2976 \\ industry (Y\({}_{2}\)) & 56.7702 & 58.3005 & 59.8721 & 61.4860 & 63.1435 \\ Exports of other services (Y\({}_{4}\)) & 22.3272 & 22.8853 & 23.4574 & 24.0438 & 24.6448 \\ Exports of goods (Y\({}_{5}\)) & 254.6979 & 261.5562 & 268.5992 & 275.8318 & 283.2591 \\ Proportion of college students in total number (Y\({}_{6}\)) & 2.1748 & 2.2331 & 2.2929 & 2.3544 & 2.4175 \\ Foreign capital utilized (Y\({}_{7}\)) & 14.0667 & 14.4065 & 14.7545 & 15.1108 & 15.4758 \\ Globalization Index (Y\({}_{8}\)) & 64.6077 & 64.8602 & 65.1136 & 65.3681 & 65.6235 \\ Openses to trade in services (Y\({}_{9}\)) & 5.5838 & 5.5503 & 5.5171 & 5.4840 & 5.4511 \\ GDP per capita (Y\({}_{10}\)) & 7.6964 & 8.3629 & 9.0872 & 9.8742 & 10.7293 \\ \hline \hline \end{tabular}
\end{table}
Table 6: Predictive values of key indicators by GM (1,1) model.  
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & **2010** & **2011** & **2012** & **2013** & **2014** & **2015** & **2016** & **2017** & **2018** & **2019** \\ \hline X\({}_{11}\) & 6.07 & 5.92 & 5.64 & 5.59 & 6.19 & 5.88 & 5.85 & 5.60 & 5.69 & 5.43 \\ X\({}_{12}\) & 6.77 & 6.46 & 6.31 & 6.19 & 6.14 & 6.23 & 6.64 & 6.75 & 6.62 & 6.91 \\ X\({}_{13}\) & 3.08 & 3.63 & 3.99 & 4.37 & 4.72 & 5.02 & 5.41 & 6.00 & 6.60 & 7.09 \\ X\({}_{14}\) & 17.68 & 17.83 & 9.84 & 9.56 & 7.99 & 6.50 & 7.77 & 10.85 & 9.98 & 7.40 \\ \hline \hline \end{tabular}
\end{table}
Table 4: \(Cont.\)  
\begin{table}
\begin{tabular}{c c c} \hline \hline
**Level I** & **Level II** & **Correlation** & **Sorting** \\ \hline \multirow{4}{*}{\begin{tabular}{c} Innovation \\ development \\ \end{tabular} } & R\&D investment intensity (X\({}_{1}\)) & 0.7398 & 3 \\  & Number of patent applications in computer & 0.5982 & 12 \\  & R\&D investment in computer communication industry (\({}_{3}\)) & 0.6518 & 10 \\  & Global Innovation Index (X\({}_{4}\)) & 0.6892 & 7 \\ \hline \multirow{4}{*}{\begin{tabular}{c} Coordinated \\ development \\ \end{tabular} } & Export of other services (X\({}_{5}\)) & 0.7380 & 4 \\  & Exports of goods (X\({}_{6}\)) & 0.8179 & 2 \\  & Proportion of manufacturing value-added to GDP (Y\({}_{7}\)) & 0.5961 & 13 \\ \hline \multirow{2}{*}{\begin{tabular}{c} Green development \\ \end{tabular} } & Proportion of college students in total number (X\({}_{8}\)) & 0.7194 & 6 \\  & Foreign capital utilized (X\({}_{9}\)) & 0.7219 & 5 \\ \hline \multirow{2}{*}{\
\begin{tabular}{c} Open development \\ \end{tabular} } & Globalization index (X\({}_{10}\)) & 0.6801 & 8 \\  & Openness to trade in services (X\({}_{11}\)) & 0.6560 & 9 \\  & Annual exchange rate of USD to RMB (X\({}_{12}\)) & 0.5983 & 11 \\ \hline \multirow{2}{*}{
\begin{tabular}{c} Shared development \\ \end{tabular} } & GDP per capita (X\({}_{13}\)) & 0.9246 & 1 \\  & Per capita GDP growth rate (X\({}_{14}\)) & 0.5603 & 14 \\ \hline \hline \end{tabular}
\end{table}
Table 5: Grey correlation degree between the influencing factors indicators of the international competitiveness of China’s computer information service industry and its RCA value.