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

Table 9

Regression coefficients for a DOE small office building depending on different models.

Coefficients^a
Model		Unstandardized coefficients		Standardized coefficients	t	Sig.	Collinearity statistics
		B	Std. error	Beta			Tolerance	VIF
Modified model	(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
New model	(Constant)	−84468362.750	11178380.426	—	−7.556	0.000	—	—
	Dew point temperatures	−153900.636	11,782.451	−0.332	−13.062	0.000	0.263	3.800
	Atmospheric station pressure	820.654	109.775	0.123	7.476	0.000	0.626	1.599
	Horizontal infrared radiation	7302.493	1652.577	0.423	4.419	0.000	0.019	54.035
	Global horizontal radiation	−28329.843	5547.379	−0.340	−5.107	0.000	0.038	26.094
	Direct normal radiation	22,573.966	1829.080	0.430	12.342	0.000	0.140	7.149
	Diffuse radiation	31,803.161	6859.159	0.208	4.637	0.000	0.084	11.876
	Total sky cover	−380750.599	94,783.568	−0.349	−4.017	0.000	0.023	44.375
	AOD	−215562.688	100939.898	−0.029	−2.136	0.033	0.945	1.059
Limited model	(Constant)	−198730470.861	11744538.154	—	−16.921	0.000	—	—
	Dry bulb temperatures	−717138.604	42,245.667	−0.671	−16.975	0.000	0.023	43.216
	Dew point temperatures	296105.476	45,462.975	0.310	6.513	0.000	0.016	62.710
	Relative humidity	−90189.068	12,260.853	−0.198	−7.356	0.000	0.050	20.018
	Atmospheric station pressure	2096.977	113.658	0.146	18.450	0.000	0.574	1.741
	Global horizontal radiation	8298.520	340.007	0.183	24.407	0.000	0.643	1.555
	Wind speed	−241986.775	40,515.794	−0.041	−5.973	0.000	0.767	1.303

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