Development of Regression Models considering Time-Lag and Aerosols for Predicting Heating Loads in Buildings

Table 5

Regression coefficients for a DOE small office building depending on time-lag.

Coefficients^a
Model		Unstandardized coefficients		Standardized coefficients	t	Sig.	Collinearity statistics
		B	Std. error	Beta			Tolerance	VIF
Time-lag0	(Constant)	−173421890.552	11828102.396	—	−14.662	0.000	—	—
	Dry bulb temperatures	−577018.579	43,428.001	−0.540	−13.287	0.000	0.021	47.057
	Dew point temperatures	−185925.394	46,080.321	−0.195	−4.035	0.000	0.015	66.370
	Relative humidity	27,650.459	12,842.837	0.061	2.153	0.031	0.044	22.624
	Atmospheric station pressure	1668.517	114.145	0.117	14.618	0.000	0.553	1.809
	Horizontal infrared radiation	35,821.811	1622.471	1.031	22.079	0.000	0.016	62.031
	Global horizontal radiation	−-6515.011	1386.208	−0.144	−4.700	0.000	0.038	26.628
	Direct normal radiation	4723.975	747.304	0.113	6.321	0.000	0.109	9.146
	Diffuse radiation	11,820.058	1778.320	0.128	6.647	0.000	0.095	10.484
	Wind speed	−294501.046	40,293.443	−0.050	−7.309	0.000	0.753	1.328
	Total sky cover	−2154444.294	95,068.697	−0.957	−22.662	0.000	0.020	50.797
	Visibility	123613.977	102564.923	0.009	1.205	0.228	0.669	1.495
Time-lag1	(Constant)	−181234643.381	11755825.707	—	−15.417	0.000	—	—
	Dry bulb temperatures	−614138.021	43,157.633	−0.575	−14.230	0.000	0.021	47.050
	Dew point temperatures	−68945.791	45,794.132	−0.072	−1.506	0.132	0.015	66.368
	Relative humidity	−1938.780	12,763.123	−0.004	−0.152	0.879	0.044	22.625
	Atmospheric station pressure	1780.718	113.449	0.124	15.696	0.000	0.553	1.809
	Horizontal infrared radiation	29,704.944	1612.435	0.855	18.422	0.000	0.016	62.032
	Global horizontal radiation	−24780.315	1377.584	−0.547	−17.988	0.000	0.038	26.627
	Direct normal radiation	17,040.575	742.657	0.409	22.945	0.000	0.109	9.146
	Diffuse radiation	32,792.426	1767.248	0.354	18.556	0.000	0.095	10.484
	Wind speed	−348289.011	40,047.290	−0.059	−8.697	0.000	0.753	1.328
	Total sky cover	−1728577.821	94,481.810	−0.768	−18.295	0.000	0.020	50.800
	Visibility	−64173.273	101930.905	−0.005	−0.630	0.529	0.669	1.495
Time-lag2	(Constant)	−179888432.974	11279313.576	—	−15.949	0.000	—	—
	Dry bulb temperatures	−685748.939	41,405.258	−0.642	−16.562	0.000	0.021	47.042
	Dew point temperatures	86,402.645	43,935.195	0.091	1.967	0.049	0.015	66.365
	Relative humidity	−47343.593	12,245.089	−0.104	−3.866	0.000	0.044	22.625
	Atmospheric station pressure	1811.848	108.852	0.127	16.645	0.000	0.553	1.810
	Horizontal infrared radiation	24,711.629	1547.029	0.711	15.974	0.000	0.016	62.033
	Global horizontal radiation	−49815.842	1321.653	−1.099	−37.692	0.000	0.038	26.627
	Direct normal radiation	34,307.818	712.510	0.823	48.151	0.000	0.109	9.146
	Diffuse radiation	61,552.875	1695.489	0.664	36.304	0.000	0.095	10.484
	Wind speed	−371456.480	38,421.767	−0.063	−9.668	0.000	0.753	1.328
	Total sky cover	−1367478.673	90,650.584	−0.608	−15.085	0.000	0.020	50.803
	Visibility	−544550.045	97,794.601	−0.038	−5.568	0.000	0.669	1.495

^aDependent variable: heating load of a DOE small office building.