Multiple Linear Regression - Estimated Regression Equation

aardolie[t] = + 108.278024088007 -0.0489860829548119datum[t] + 0.15155523226887steenkool[t] -0.483286934785402uranium[t] + 0.3744493068898metaal[t] + e[t]

Multiple Linear Regression - Ordinary Least Squares
Variable	Parameter	S.D.	T-STAT H0: parameter = 0	2-tail p-value	1-tail p-value
(Intercept)	108.278024088007	3.87182	27.9657	0	0
datum	-0.0489860829548119	0.049278	-0.9941	0.323606	0.161803
steenkool	0.15155523226887	0.358945	0.4222	0.674155	0.337078
uranium	-0.483286934785402	0.366036	-1.3203	0.191027	0.095513
metaal	0.3744493068898	0.333627	1.1224	0.265545	0.132772

Multiple Linear Regression - Regression Statistics
Multiple R	0.263340967723336
R-squared	0.0693484652814631
Adjusted R-squared	0.016168377583261
F-TEST (value)	1.30403066792625
F-TEST (DF numerator)	4
F-TEST (DF denominator)	70
p-value	0.277004869581052
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	8.76790004361176
Sum Squared Residuals	5381.32498223369

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	100	109.608691551961	-9.60869155196107
2	99	111.573069598065	-12.5730695980645
3	108	108.382152646552	-0.382152646552184
4	103	110.792318841898	-7.79231884189765
5	99	106.939498575447	-7.93949857544693
6	115	111.969249828926	3.0307501710737
7	90	105.807272426349	-15.8072724263495
8	95	107.96748339919	-12.9674833991899
9	114	107.704909294369	6.29509070563124
10	108	111.555630241316	-3.55563024131584
11	112	107.175245345612	4.82475465438824
12	109	108.78491777524	0.215082224760396
13	105	108.764552930264	-3.76455293026358
14	105	109.402004166301	-4.40200416630106
15	118	108.88016878622	9.1198312137797
16	103	107.418820684453	-4.41882068445282
17	112	107.141721708047	4.85827829195264
18	116	107.65258022106	8.34741977894027
19	96	107.300483673567	-11.3004836735672
20	101	103.706496177186	-2.70649617718623
21	116	107.543120757739	8.45687924226116
22	119	109.878289381997	9.12171061800278
23	115	108.454440065773	6.54555993422672
24	108	105.434822036944	2.56517796305616
25	111	107.632531795328	3.36746820467217
26	108	104.716104070374	3.28389592962558
27	121	107.671589990103	13.3284100098972
28	109	107.153841843947	1.84615815605314
29	112	109.341113964671	2.6588860353286
30	119	107.207424910306	11.7925750896939
31	104	108.906191277416	-4.90619127741552
32	105	107.061516321193	-2.06151632119349
33	115	108.917056739402	6.0829432605985
34	124	107.109880568723	16.890119431277
35	116	105.398577244451	10.6014227555495
36	107	104.846989041486	2.1530109585139
37	115	105.001153342738	9.99884665726183
38	116	107.785768844973	8.21423115502656
39	116	109.125742361682	6.87425763831777
40	119	110.143290228629	8.85670977137093
41	111	102.44601681295	8.5539831870505
42	118	107.306029233841	10.6939707661593
43	106	102.570938721661	3.42906127833919
44	103	108.240750961024	-5.24075096102417
45	118	104.386370604479	13.6136293955212
46	118	105.574788888919	12.4252111110813
47	102	102.715603639923	-0.715603639922844
48	100	103.85608550116	-3.85608550115977
49	94	103.774819451491	-9.77481945149114
50	94	104.838743651546	-10.8387436515463
51	102	104.95175043852	-2.95175043851978
52	95	105.555790122939	-10.5557901229386
53	92	106.350015410075	-14.3500154100747
54	102	106.30624814595	-4.30624814594957
55	91	106.697831393407	-15.6978313934069
56	89	104.767721228438	-15.7677212284383
57	104	108.272614106474	-4.2726141064744
58	105	104.996261946216	0.00373805378448367
59	99	106.288299039721	-7.28829903972131
60	95	103.983311062673	-8.98331106267311
61	90	106.323698505761	-16.3236985057612
62	96	108.591187016403	-12.5911870164026
63	113	107.821923557647	5.17807644235306
64	101	101.854218991712	-0.854218991712249
65	101	107.288600880155	-6.2886008801549
66	113	106.201702085277	6.79829791472277
67	96	103.148243999639	-7.14824399963927
68	97	102.435794511651	-5.43579451165139
69	114	103.918445713064	10.0815542869357
70	112	104.304810141692	7.6951898583081
71	108	106.994684382426	1.00531561757397
72	107	105.205691812067	1.79430818793311
73	103	105.807204352656	-2.80720435265553
74	107	102.388174507693	4.61182549230748
75	122	106.978916520854	15.0210834791455

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.455159947797491	0.910319895594983	0.544840052202509
9	0.305095411755374	0.610190823510749	0.694904588244626
10	0.187962990629129	0.375925981258258	0.812037009370871
11	0.225309119253046	0.450618238506092	0.774690880746954
12	0.270594333465607	0.541188666931215	0.729405666534393
13	0.334338651966493	0.668677303932985	0.665661348033507
14	0.293385366246742	0.586770732493485	0.706614633753258
15	0.312515930111369	0.625031860222738	0.687484069888631
16	0.263280542798233	0.526561085596465	0.736719457201767
17	0.211225218866754	0.422450437733507	0.788774781133246
18	0.171501205554629	0.343002411109259	0.828498794445371
19	0.352801653690472	0.705603307380945	0.647198346309528
20	0.296507284007453	0.593014568014906	0.703492715992547
21	0.252250627271286	0.504501254542572	0.747749372728714
22	0.195925544211168	0.391851088422335	0.804074455788832
23	0.143541420028702	0.287082840057404	0.856458579971298
24	0.106203543634903	0.212407087269807	0.893796456365097
25	0.0770366308283958	0.154073261656792	0.922963369171604
26	0.0524742193396102	0.10494843867922	0.94752578066039
27	0.0459678721001443	0.0919357442002886	0.954032127899856
28	0.0367190805407277	0.0734381610814553	0.963280919459272
29	0.0324184637621832	0.0648369275243664	0.967581536237817
30	0.0259535004898727	0.0519070009797454	0.974046499510127
31	0.0572801357054994	0.114560271410999	0.942719864294501
32	0.0572820208833543	0.114564041766709	0.942717979116646
33	0.0395825502573974	0.0791651005147947	0.960417449742603
34	0.0553756616455133	0.110751323291027	0.944624338354487
35	0.0443000029222925	0.0886000058445851	0.955699997077707
36	0.034266235142608	0.0685324702852161	0.965733764857392
37	0.026794204381708	0.0535884087634161	0.973205795618292
38	0.0217390966840685	0.043478193368137	0.978260903315932
39	0.0182954431979214	0.0365908863958428	0.981704556802079
40	0.0209407405259459	0.0418814810518919	0.979059259474054
41	0.0190142155290842	0.0380284310581684	0.980985784470916
42	0.0239629232233732	0.0479258464467463	0.976037076776627
43	0.0229680952023841	0.0459361904047682	0.977031904797616
44	0.0450310429886399	0.0900620859772797	0.95496895701136
45	0.111252050940687	0.222504101881373	0.888747949059313
46	0.364402843229646	0.728805686459292	0.635597156770354
47	0.478933179079503	0.957866358159005	0.521066820920497
48	0.592001166573835	0.815997666852329	0.407998833426165
49	0.656771574046421	0.686456851907158	0.343228425953579
50	0.706483399620999	0.587033200758001	0.293516600379001
51	0.720233306427215	0.559533387145571	0.279766693572785
52	0.731739734965527	0.536520530068945	0.268260265034473
53	0.770199536453803	0.459600927092395	0.229800463546197
54	0.781891660256087	0.436216679487827	0.218108339743913
55	0.789822224203274	0.420355551593451	0.210177775796726
56	0.803915828985824	0.392168342028351	0.196084171014176
57	0.755102616695466	0.489794766609069	0.244897383304534
58	0.759822094480259	0.480355811039482	0.240177905519741
59	0.708939909064577	0.582120181870846	0.291060090935423
60	0.63577204608745	0.7284559078251	0.36422795391255
61	0.686416428201984	0.627167143596033	0.313583571798016
62	0.722997492229969	0.554005015540061	0.277002507770031
63	0.731568876838047	0.536862246323907	0.268431123161953
64	0.64131301541502	0.717373969169961	0.358686984584981
65	0.568235128208141	0.863529743583717	0.431764871791859
66	0.582966627099886	0.834066745800227	0.417033372900114
67	0.454564453912806	0.909128907825612	0.545435546087194

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	6	0.1	NOK
10% type I error level	15	0.25	NOK