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

Table 20

Regression coefficients for a DOE large 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)	−2733111537.015	274002837.132	—	−9.975	0.000	—	—
	Dry bulb temperatures	−15671733.697	1006027.437	−0.643	−15.578	0.000	0.021	47.057
	Dew point temperatures	−4753374.820	1067469.519	−0.218	−4.453	0.000	0.015	66.370
	Relative humidity	990564.362	297509.579	0.095	3.330	0.001	0.044	22.624
	Atmospheric station pressure	24,491.862	2644.212	0.075	9.262	0.000	0.553	1.809
	Horizontal infrared radiation	1277515.990	37,585.214	1.610	33.990	0.000	0.016	62.031
	Global horizontal radiation	−33027.580	32,112.069	−0.032	−1.029	0.304	0.038	26.628
	Direct normal radiation	9862.429	17,311.599	0.010	0.570	0.569	0.109	9.146
	Diffuse radiation	163741.885	41,195.501	0.077	3.975	0.000	0.095	10.484
	Wind speed	−5511093.363	933414.112	−0.041	−5.904	0.000	0.753	1.328
	Total sky cover	−78732270.417	2202305.310	−1.533	-35.750	0.000	0.020	50.797
	Visibility	6728944.425	2375958.447	0.021	2.832	0.005	0.669	1.495
Time-lag1	(Constant)	−2823375262.525	273663033.374	—	−10.317	0.000	—	—
	Dry bulb temperatures	−16209199.274	1004663.472	−0.665	−16.134	0.000	0.021	47.050
	Dew point temperatures	−2245663.075	1066038.360	−0.103	−2.107	0.035	0.015	66.368
	Relative humidity	362476.854	297111.842	0.035	1.220	0.222	0.044	22.625
	Atmospheric station pressure	26,181.850	2640.978	0.080	9.914	0.000	0.553	1.809
	Horizontal infrared radiation	1119195.915	37,535.772	1.411	29.817	0.000	0.016	62.032
	Global horizontal radiation	−538804.813	32,068.672	−0.521	−16.802	0.000	0.038	26.627
	Direct normal radiation	355624.778	17,288.268	0.374	20.570	0.000	0.109	9.146
	Diffuse radiation	718224.310	41,139.637	0.340	17.458	0.000	0.095	10.484
	Wind speed	−7333997.059	932258.024	−0.054	−7.867	0.000	0.753	1.328
	Total sky cover	−67661397.473	2199435.361	−1.317	−30.763	0.000	0.020	50.800
	Visibility	1918837.055	2372842.304	0.006	0.809	0.419	0.669	1.495
Time-lag2	(Constant)	−242862773.124	19841671.213	—	−12.240	0.000	—	—
	Dew point temperatures	102726.330	77,287.300	0.062	1.329	0.184	0.015	66.365
	Atmospheric station pressure	2360.095	191.484	0.095	12.325	0.000	0.553	1.810
	Horizontal infrared radiation	76,361.042	2721.411	1.264	28.059	0.000	0.016	62.033
	Direct normal radiation	56,837.692	1253.391	0.784	45.347	0.000	0.109	9.146
	Total sky cover	−4510822.624	159465.297	−1.153	−28.287	0.000	0.020	50.803
	Dry bulb temperatures	−1387805.281	72,836.836	−0.747	−19.054	0.000	0.021	47.042
	Relative humidity	−57775.571	21,540.586	−0.073	−2.682	0.007	0.044	22.625
	Global horizontal radiation	−82461.104	2324.947	−1.047	−35.468	0.000	0.038	26.627
	Diffuse radiation	101106.744	2982.570	0.628	33.899	0.000	0.095	10.484
	Wind speed	−677958.805	67,588.517	−0.066	−10.031	0.000	0.753	1.328
	Visibility	−799488.056	172032.483	−0.032	−4.647	0.000	0.669	1.495

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