## 5 Selection of Attributes, Modeling, and Results
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & **Linear Model** & **Gaussian Process** & **SMO Regression** & **M5P Tree** & **Random Forest** \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (Forward selection 10 attr), Day of Year} \\ \hline Correlation coefficient & 0.4288 & 0.4475 & 0.4104 & 0.4263 & 0.3976 \\ Relative absolute error & 0.948856 & 0.89844 & 0.778747 & 0.922759 & 0.861133 \\ Root relative sq. error & 0.911549 & 0.892596 & 0.962801 & 0.916577 & 0.921097 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (Forward selection 5 attr), Day of Year} \\ \hline Correlation coefficient & 0.4635 & 0.4508 & 0.4506 & 0.3769 & 0.4381 \\ Relative absolute error & 0.923401 & 0.896762 & 0.762388 & 0.924544 & 0.843924 \\ Root relative sq. error & 0.886452 & 0.890677 & 0.952388 & 0.948177 & 0.898847 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (FSRF-TEST 10 attr), Day of Year} \\ \hline Correlation coefficient & 0.4363 & 0.4339 & 0.4242 & 0.4686 & 0.5400 \\ Relative absolute error & 0.900255 & 0.892416 & 0.761173 & 0.868294 & 0.806506 \\ Root relative sq. error & 0.899348 & 0.899034 & 0.956712 & 0.885832 & 0.84258 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (FSRF-TEST 5 attr), Day of Year} \\ \hline Correlation coefficient & 0.3956 & 0.3884 & 0.3983 & 0.4255 & 0.5183 \\ Relative absolute error & 0.925902 & 0.911766 & 0.768899 & 0.885788 & 0.805674 \\ Root relative sq. error & 0.918372 & 0.919311 & 0.969704 & 0.905563 & 0.853435 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (Relief 10 attr), Day of Year} \\ \hline Correlation coefficient & 0.4016 & 0.4063 & 0.3959 & 0.4021 & 0.3987 \\ Relative absolute error & 0.934508 & 0.910194 & 0.781673 & 0.908593 & 0.863821 \\ Root relative sq. error & 0.921802 & 0.913254 & 0.960806 & 0.921916 & 0.916560 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (Relief 5 attr), Day of Year} \\ \hline Correlation coefficient & 0.3533 & 0.3364 & 0.3490 & 0.3028 & 0.3347 \\ Relative absolute error & 0.922774 & 0.915231 & 0.784270 & 0.912179 & 0.904339 \\ Root relative sq. error & 0.938938 & 0.941382 & 0.975032 & 0.972598 & 0.956348 \\ \hline \multicolumn{5}{c}{Linear model} & Gaussian process & SMO Regression & M5P Tree & Random forest \\ \hline \hline \end{tabular}
\end{table} 
Table 2: _Cont._ \begin{table}
\begin{tabular}{c c c c c} \hline \hline  & **Linear Model** & **Gaussian Process** & **SMO Regression** & **M5P Tree** & **Random Forest** \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, without Day of Year, and without Satellites} \\ \hline Correlation coefficient & 0.2302 & 0.1822 & 0.1934 & 0.2314 & 0.1898 \\ Relative absolute error & 0.961795 & 0.974067 & 0.855066 & 0.960243 & 1.006067 \\ Root relative sq. error & 0.971534 & 0.981626 & 1.014425 & 0.971155 & 1.016997 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Day of Year without Satellites} \\ \hline Correlation coefficient & 0.2582 & 0.2236 & 0.2305 & 0.2053 & 0.2643 \\ Relative absolute error & 0.952205 & 0.962065 & 0.857284 & 0.962442 & 0.913962 \\ Root relative sq. error & 0.964646 & 0.973101 & 1.006680 & 0.988054 & 1.005748 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (FSRF-TEST 20 attr) without Day of Year} \\ \hline Correlation coefficient & 0.1428 & 0.1786 & 0.1742 & 0.065 & 0.3264 \\ Relative absolute error & 0.991643 & 0.970063 & 0.859727 & 1.034066 & 0.920992 \\ Root relative sq. error & 0.998483 & 0.984765 & 1.012168 & 1.097823 & 0.945923 \\ \hline \multicolumn{5}{c}{Models using attributes SHMU, Satellites (Relief 20 attr) without Day of Year} \\ \hline Correlation coefficient & 0.0927 & 0.0648 & 0.1264 & 0.0789 & 0.1826 \\ Relative absolute error & 1.016839 & 1.016156 & 0.877836 & 1.064591 & 0.967896 \\ Root relative sq. error & 1.014047 & 1.007755 & 1.023097 & 1.049356 & 1.005119 \\ \hline \hline \end{tabular}
\end{table}