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Table 3 Sunshine duration-based annual regression results and their statistical evaluation

From: Global solar radiation estimation from commonly available meteorological data for Bangladesh

Model no. Model type Equations \(R^{2}\) MBE MPE RMSE MARE t stat
1 Linear \(H{/}H_0 = 0.4256 (S{/}S_0) + 0.2199\) 0.8888 0.0183 0.3446 0.2404 0.3446 0.2538
2 Quad. \(H{/}H_0 = 0.749(S{/}S_0)^2 - 0.3752(S{/}S_0) + 0.417\) 0.8920 0.0216 0.3276 0.2369 0.0440 0.3049
3 Cubic \(H{/}H_0 = 3.1987(S{/}S_0)^3 - 4.4223(S{/}S_0)^2 + 2.3158(S{/}S_0) - 0.0306\) 0.8899 0.0231 0.3246 0.2393 0.0471 0.3226
4 Expo. \(H{/}H_0 = 0.2673 \exp [0.9422(S/S_0)]\) 0.8913 0.0261 0.1707 0.2376 0.0494 0.3673
5 Log. \(H{/}H_0 = 0.2152\,\hbox {ln}(S{/}S_0) + 0.5916\) 0.8729 0.0153 0.3850 0.2570 0.0560 0.1981
6 Power \(H{/}H_0 = 0.6093(S{/}S_0)^{0.478}\) 0.8804 0.0233 0.1998 0.2493 0.0537 0.3125