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Table 9 Temperature- and extraterrestrial radiation-based models and their coefficients and error estimation

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

Model no.

Equations

a

b

c

\(R^2\)

MPE

MBE

RMSE

MARE

t stat

40

\(H/H_0 = a[1-\hbox {exp}(-b(\Delta T^{\mathrm{c}}/H_0))]\)

0.5268

0.6639

1.688

0.8204

0.223397

0.017537

0.23263

0.053098

0.250746

41

\(H/H_0 = a(\sqrt{\Delta T})(1+bH_0+c(H_0)^2)\)

−0.006515

−5.961

0.3323

0.93

0.49945

−0.00891

0.152122

0.033675

0.194633

42

\(H/H_0 = a + b\Delta T + cH_0\)

0.1534

0.03344

0.002771

0.8975

0.191296

6.24E−05

0.171798

0.039023

0.001204