## 3 Results and Discussion
### Hermosillo Site

Table 3: The determination coefficients (R\({}^{2}\)) of every input from HS. Figure 9: A close-up of the results from HS. Figure 14: The Power vs. Time of MCS. Figure 12: The Power vs. Temperature of MCS. Figure 13: The Power vs. Wind speed of MCS. The determination coefficient values for Mexico City are found applying the same procedure used in the case of Hermosillo, as shown in Table 6. Analogous to the case from Hermosillo, the coefficients \(\theta\) for Mexico City data and its mathematical representation are displayed in Table 7 and Equation (10), respectively. Figure 15 shows a six months estimation result (red) against the real data behavior (green) from Mexico City. In order to a better appreciation, Figure 16 shows a close-up of Figure 15 covering the same period as that in the case of Hermosillo. The estimation result matches with the rise and fall times of the real power. \[h_{\theta}=0.1005+55.9815x_{1}+2.2910x_{2}+0.1290x_{3}+0.0533x_{4} \tag{10}\] \begin{table}
\begin{tabular}{c c c c c} \hline \hline
**Month** & **Solar Radiation** & **Temperature** & **Wind Speed** & **Hour** \\ \hline Jul & 0.9997 & 0.4952 & 0.0295 & 0.6032 \\ Aug & 0.9990 & 0.3261 & 0.0214 & 0.5652 \\ Sep & 0.9950 & 0.3684 & 0.0093 & 0.5014 \\ Oct & 0.9923 & 0.2148 & 0.0177 & 0.5803 \\ Nov & 0.9995 & 0.1674 & 0.0320 & 0.8684 \\ Dec & 0.9995 & 0.1440 & 0.0015 & 0.8865 \\ TOTAL & 0.9989 & 0.2052 & 0.0178 & 0.5725 \\ \hline \hline \end{tabular}
\end{table} 
Table 6: The determination coefficients (R\({}^{2}\)) of every input from MCS. \begin{table}
\begin{tabular}{c c} \hline \hline
**Month** & **Input Variables** \\ \hline \multirow{3}{*}{Jul} & Solar radiation & Temperature \\  & \(f\left(x\right)=53.58x+135\) & \(f\left(x\right)=-20.07x^{2}+3392x-44,530\) \\ Aug & \(f\left(x\right)=56.62x+241.2\) & \(f\left(x\right)=-43.78x^{2}+4162x-51,030\) \\ Sep & \(f\left(x\right)=59.48x+245.7\) & \(f\left(x\right)=9.184x^{2}+1875x-25,960\) \\ Oct & \(f\left(x\right)=57.58x+189.8\) & \(f\left(x\right)=-6.143x^{2}+2115x-18,990\) \\ Nov & \(f\left(x\right)=57.64x+1.454\) & \(f\left(x\right)=-132x^{2}+5978x-36,790\) \\ Dec & \(f\left(x\right)=53.52x-7.362\) & \(f\left(x\right)=-104.9x^{2}+4312x-18,320\) \\ TOTAL & \(f\left(x\right)=56.75x+65.85\) & \(f\left(x\right)=31.9x^{2}+203.1x+2471\) \\ \hline \hline \end{tabular}
\begin{tabular}{c c} \hline \hline \multirow{2}{*}{Jul} & Wind speed & Hour \\  & \(f\left(x\right)=-173.8x^{2}+531.6x+20,420\) & \(f\left(x\right)=-584,100x^{2}+632,300x-137,600\) \\ Aug & \(f\left(x\right)=-157.7x^{2}+325.2x+21,850\) & \(f\left(x\right)=-599,500x^{2}+649,400x-141,400\) \\ Sep & \(f\left(x\right)=-156.4x^{2}+459.8x+19,960\) & \(f\left(x\right)=-632,500x^{2}+686,200x-153,700\) \\ Oct & \(f\left(x\right)=-113x^{2}+47.06x+23,490\) & \(f\left(x\right)=-693,400x^{2}+735,600x-159,300\) \\ Nov & \(f\left(x\right)=66.96x^{2}-1894x+28,680\) & \(f\left(x\right)=-918,400x^{2}+908,400x-181,500\) \\ Dec & \(f\left(x\right)=44.08x^{2}-706.9x+22,910\) & \(f\left(x\right)=-837,800x^{2}+843,100x-175,100\) \\ TOTAL & \(f\left(x\right)=-130.7x^{2}+61.23x+22,720\) & \(f\left(x\right)=-617,100x^{2}+650,100x+136,600\) \\ \hline \hline \end{tabular}
\end{table} 
Table 5: The fitted curve characteristic equation of every input from MCS.