Table 3 Regression analysis using a combination of variables - maximum temperature.

From: Air temperature estimation and modeling using data driven techniques based on best subset regression model in Egypt

Variables

MSE

R²

Mallows’ Cp

Akaike’s AIC

Schwarz’s SBC

Amemiya’s PC

Tmax (t−1)

8.585

0.855

1130.309

27924.126

27939.069

0.145

Tmax (t−1), Tmax (t−8)

8.130

0.862

383.475

27218.099

27240.514

0.138

Tmax (t−1), Tmax (t−4), Tmax (t−8)

8.004

0.865

176.959

27015.874

27045.761

0.135

Tmax (t−1), Tmax (t−2), Tmax (t−4), Tmax (t−8)

7.940

0.866

72.903

26912.756

26950.114

0.134

Tmax (t−1), Tmax (t−2), Tmax (t−4), Tmax (t−6), Tmax (t−8)

7.909

0.866

23.334

26863.334

26908.164

0.134

Tmax (t−1), Tmax (t−2), Tmax (t−3), Tmax (t−4), Tmax (t−6), Tmax (t−8)

7.900

0.866

9.520

26849.524

26901.826

0.134

Tmax (t−1), Tmax (t−2), Tmax (t−3), Tmax (t−4), Tmax (t−5), Tmax (t−6), Tmax (t−8)

7.899

0.866

8.030

26848.033

26907.806

0.134

Tmax (t−1), Tmax (t−2), Tmax (t−3), Tmax (t−4), Tmax (t−5), Tmax (t−6), Tmax (t−7), Tmax (t−8)

7.899

0.866

9.000

26849.002

26916.247

0.134

  1. The best model for the selected selection criterion is displayed in blue.