Multiple Linear Regression - Estimated Regression Equation

Spaar[t] = + 35.2908642381885 + 0.435286320955128Alg_E[t] + 1.76715415124219M1[t] + 2.30585896286539M2[t] -0.242370093898710M3[t] + 0.735286320955132M4[t] + 0.834127782758336M5[t] + 2.76941410371346M6[t] + 1.44352863209552M7[t] -1.52234358514615M8[t] -1.43528632095512M9[t] -0.92704400981474M10[t] + 0.0176431604775675M11[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)	35.2908642381885	2.323913	15.186	0	0
Alg_E	0.435286320955128	0.045622	9.5412	0	0
M1	1.76715415124219	2.309845	0.7651	0.445909	0.222954
M2	2.30585896286539	2.367137	0.9741	0.332177	0.166089
M3	-0.242370093898710	2.365307	-0.1025	0.918575	0.459287
M4	0.735286320955132	2.363617	0.3111	0.756336	0.378168
M5	0.834127782758336	2.363921	0.3529	0.724883	0.362441
M6	2.76941410371346	2.363217	1.1719	0.243823	0.121911
M7	1.44352863209552	2.363181	0.6108	0.542588	0.271294
M8	-1.52234358514615	2.363811	-0.644	0.520927	0.260464
M9	-1.43528632095512	2.363617	-0.6072	0.544965	0.272483
M10	-0.92704400981474	2.364766	-0.392	0.695813	0.347907
M11	0.0176431604775675	2.363287	0.0075	0.994057	0.497029

Multiple Linear Regression - Regression Statistics
Multiple R	0.687725442575715
R-squared	0.472966284365964
Adjusted R-squared	0.414406982628848
F-TEST (value)	8.07670635297544
F-TEST (DF numerator)	12
F-TEST (DF denominator)	108
p-value	1.25376264925592e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	5.28422435604139
Sum Squared Residuals	3015.68692085796

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	62	51.4224669809499	10.5775330190501
2	64	54.5728897183039	9.42711028169615
3	62	54.6363785872705	7.36362141272949
4	64	56.0493213230795	7.95067867692052
5	64	55.7128764639276	8.28712353607242
6	69	57.6481627848827	11.3518372151173
7	69	58.0634225970853	10.9365774029147
8	65	55.5328367007987	9.46716329920128
9	56	57.3610392488103	-1.36103924881026
10	58	60.0457131647263	-2.04571316472628
11	53	60.5551140140635	-7.55511401406346
12	62	59.6668982116756	2.33310178832436
13	55	57.9517617952768	-2.95176179527681
14	60	59.3610392488103	0.638960751189743
15	59	57.6833828339564	1.31661716604359
16	58	59.0963255697654	-1.09632556976538
17	53	60.0657396734789	-7.06573967347885
18	57	56.7775901429724	0.222409857027564
19	57	55.0164183503994	1.98358164960064
20	53	50.3094008493372	2.69059915066282
21	54	51.7023170763936	2.29768292360641
22	53	52.210559387534	0.789440612466026
23	57	52.284673915916	4.71532608408397
24	57	50.0905991506628	6.90940084933718
25	55	48.8107490552191	6.18925094478089
26	49	44.1260180153808	4.87398198461923
27	50	41.1425026376615	8.85749736233846
28	49	49.5200265087526	-0.520026508752561
29	54	53.971731180107	0.0282688198929497
30	58	56.7775901429724	1.22240985702756
31	58	56.7575636342199	1.24243636578013
32	52	52.0505461331577	-0.0505461331576936
33	56	53.4434623602141	2.55653763978590
34	52	53.9517046713545	-1.95170467135449
35	59	52.7199602368712	6.28003976312884
36	53	50.525885471618	2.47411452838206
37	52	52.7283259438153	-0.728325943815265
38	53	54.1376033973487	-1.13760339734872
39	51	52.0246606615397	-1.02466066153974
40	50	49.9553128297077	0.0446871702923097
41	56	46.5718637238699	9.42813627613013
42	52	47.2012910819596	4.79870891804039
43	46	41.9578287217455	4.04217127825449
44	48	46.391823960741	1.60817603925898
45	46	49.525885471618	-3.52588547161795
46	48	47.8576961779827	0.142303822017309
47	48	47.4965243854096	0.503475614590386
48	49	48.3494538668423	0.650546133157697
49	53	53.5988985857255	-0.598898585725522
50	48	49.3494538668423	-1.34945386684231
51	51	52.4599469824949	-1.45994698249487
52	48	53.4376033973487	-5.43760339734872
53	50	55.2775901429724	-5.27759014297243
54	55	58.518735426793	-3.51873542679295
55	52	56.3222773132647	-4.32227731326474
56	53	52.0505461331577	0.949453866842307
57	52	50.3964581135282	1.60354188647180
58	55	54.3869909923096	0.613009007690384
59	53	51.4141012740058	1.58589872599423
60	53	53.1376033973487	-0.137603397348714
61	56	54.4694712276358	1.53052877236422
62	54	51.9611717925731	2.03882820742692
63	52	49.8482290567641	2.15177094323590
64	55	51.6964581135282	3.3035418864718
65	54	51.7952995753314	2.20470042466859
66	59	54.6011585381968	4.3988414618032
67	56	55.0164183503994	0.98358164960064
68	56	49.0035418864718	6.9964581135282
69	51	44.7377359411115	6.26226405888846
70	53	44.8106919312968	8.1893080687032
71	52	44.8848064596788	7.11519354032115
72	51	47.0435949039769	3.95640509602308
73	46	44.4578858456678	1.54211415433218
74	49	50.6553128297077	-1.65531282970769
75	46	48.1070837729436	-2.10708377294359
76	55	50.825885471618	4.17411452838205
77	57	52.2305858962865	4.76941410371346
78	53	53.7305858962865	-0.730585896286538
79	52	51.0988414618032	0.901158538196794
80	53	48.1329692445615	4.86703075543846
81	50	48.2200265087526	1.77997349124744
82	54	50.4694141037135	3.53058589628654
83	53	52.7199602368712	0.280039763128846
84	50	50.525885471618	-0.525885471617945
85	51	53.1636122647704	-2.16361226477039
86	52	56.3140350021244	-4.31403500212436
87	47	53.3305196244051	-6.33051962440513
88	51	50.3905991506628	0.609400849337182
89	49	53.1011585381968	-4.10115853819679
90	53	55.471731180107	-2.47173118010705
91	52	52.8399867456237	-0.839986745623718
92	45	52.921118775068	-7.92111877506795
93	53	52.1376033973487	0.862396602651282
94	51	53.0811320294442	-2.08113202944423
95	48	52.7199602368712	-4.71996023687116
96	48	48.3494538668423	-0.349453866842303
97	48	50.1166080180845	-2.11660801808450
98	48	51.0905991506628	-3.09059915066282
99	40	42.883647921482	-2.88364792148205
100	43	46.4730222620667	-3.47302226206666
101	40	45.7012910819596	-5.70129108195961
102	39	49.3777226867353	-10.3777226867353
103	39	48.9224098570276	-9.92240985702757
104	36	43.7801060350103	-7.78010603501026
105	41	41.2554453734705	-0.25544537347051
106	39	39.5872560798353	-0.587256079835253
107	40	39.2260842872622	0.773915712737824
108	39	43.5613043363359	-4.56130433633589
109	46	46.1990311294883	-0.199031129488339
110	40	45.4318769782462	-5.43187697824615
111	37	42.883647921482	-5.88364792148205
112	37	42.5554453734705	-5.55544537347051
113	44	46.5718637238699	-2.57186372386987
114	41	45.8954321190942	-4.89543211909423
115	40	45.0048329684314	-5.00483296843141
116	36	46.8271102816962	-10.8271102816962
117	38	48.2200265087526	-10.2200265087526
118	43	49.5988414618032	-6.5988414618032
119	42	50.9788149530506	-8.97881495305064
120	45	55.7493213230795	-10.7493213230795
121	46	57.0811891533665	-11.0811891533665

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.0215281595872369	0.0430563191744739	0.978471840412763
17	0.0753649118657835	0.150729823731567	0.924635088134216
18	0.537080962044183	0.925838075911634	0.462919037955817
19	0.846534212955477	0.306931574089046	0.153465787044523
20	0.941634075933623	0.116731848132755	0.0583659240663773
21	0.911518476789634	0.176963046420733	0.0884815232103664
22	0.883332295600077	0.233335408799845	0.116667704399923
23	0.850367863755797	0.299264272488406	0.149632136244203
24	0.830686058751619	0.338627882496762	0.169313941248381
25	0.798725423309124	0.402549153381753	0.201274576690876
26	0.846187029933002	0.307625940133996	0.153812970066998
27	0.842303785643096	0.315392428713809	0.157696214356904
28	0.848258329066683	0.303483341866635	0.151741670933317
29	0.803440160880296	0.393119678239407	0.196559839119704
30	0.778175876571309	0.443648246857383	0.221824123428691
31	0.75800148853567	0.483997022928661	0.241998511464330
32	0.750358392675863	0.499283214648273	0.249641607324136
33	0.700676018486608	0.598647963026784	0.299323981513392
34	0.644710410473142	0.710579179053716	0.355289589526858
35	0.660919993860654	0.678160012278692	0.339080006139346
36	0.627310578064871	0.745378843870259	0.372689421935129
37	0.605439424340019	0.789121151319962	0.394560575659981
38	0.586797044946525	0.82640591010695	0.413202955053475
39	0.585520784920165	0.82895843015967	0.414479215079835
40	0.544591396899107	0.910817206201785	0.455408603100893
41	0.589094323610838	0.821811352778323	0.410905676389162
42	0.58015280996375	0.839694380072501	0.419847190036250
43	0.595377835379653	0.809244329240694	0.404622164620347
44	0.56966139421668	0.86067721156664	0.43033860578332
45	0.564150190646961	0.871699618706078	0.435849809353039
46	0.5039092655859	0.9921814688282	0.4960907344141
47	0.452861276061377	0.905722552122753	0.547138723938623
48	0.423688923409706	0.847377846819411	0.576311076590294
49	0.384136647218537	0.768273294437074	0.615863352781463
50	0.367662611478668	0.735325222957336	0.632337388521332
51	0.347809023221832	0.695618046443665	0.652190976778168
52	0.369238055865643	0.738476111731285	0.630761944134357
53	0.39221818487116	0.78443636974232	0.60778181512884
54	0.388601248369603	0.777202496739205	0.611398751630397
55	0.400568431694039	0.801136863388078	0.599431568305961
56	0.361079214062106	0.722158428124212	0.638920785937894
57	0.311029418272298	0.622058836544595	0.688970581727702
58	0.263410277836013	0.526820555672026	0.736589722163987
59	0.222400584482486	0.444801168964972	0.777599415517514
60	0.190628442031682	0.381256884063364	0.809371557968318
61	0.16377770355597	0.32755540711194	0.83622229644403
62	0.145104542687146	0.290209085374292	0.854895457312854
63	0.134244901699798	0.268489803399595	0.865755098300202
64	0.117475653282304	0.234951306564609	0.882524346717696
65	0.0979778942167155	0.195955788433431	0.902022105783284
66	0.108316652737643	0.216633305475287	0.891683347262357
67	0.095586590916778	0.191173181833556	0.904413409083222
68	0.152704938720622	0.305409877441245	0.847295061279378
69	0.165635005360113	0.331270010720225	0.834364994639887
70	0.21502432175142	0.43004864350284	0.78497567824858
71	0.271624499700861	0.543248999401722	0.728375500299139
72	0.290376050161236	0.580752100322472	0.709623949838764
73	0.283743771838738	0.567487543677476	0.716256228161262
74	0.259178253678667	0.518356507357334	0.740821746321333
75	0.248888279574663	0.497776559149325	0.751111720425337
76	0.261061356270652	0.522122712541304	0.738938643729348
77	0.319179965900614	0.638359931801228	0.680820034099386
78	0.320820220651406	0.641640441302813	0.679179779348594
79	0.32770133396126	0.65540266792252	0.67229866603874
80	0.597990322886762	0.804019354226476	0.402009677113238
81	0.587534034128232	0.824931931743536	0.412465965871768
82	0.631577831669849	0.736844336660302	0.368422168330151
83	0.634405938236264	0.731188123527473	0.365594061763736
84	0.635297807582124	0.729404384835753	0.364702192417876
85	0.59910949022356	0.801781019552879	0.400890509776440
86	0.553680484207917	0.892639031584167	0.446319515792083
87	0.528734672265628	0.942530655468744	0.471265327734372
88	0.55068572423501	0.89862855152998	0.44931427576499
89	0.512009055386089	0.975981889227822	0.487990944613911
90	0.586747295839791	0.826505408320418	0.413252704160209
91	0.712893593687297	0.574212812625406	0.287106406312703
92	0.757642010672073	0.484715978655855	0.242357989327927
93	0.905560761014662	0.188878477970676	0.094439238985338
94	0.943557707096247	0.112884585807506	0.0564422929037531
95	0.952309781637032	0.0953804367259361	0.0476902183629681
96	0.976323927866945	0.0473521442661108	0.0236760721330554
97	0.966631874866897	0.0667362502662068	0.0333681251331034
98	0.984040688913474	0.0319186221730528	0.0159593110865264
99	0.978600886853106	0.0427982262937872	0.0213991131468936
100	0.986402074840578	0.0271958503188436	0.0135979251594218
101	0.98690495270345	0.0261900945930983	0.0130950472965491
102	0.982627543016158	0.0347449139676837	0.0173724569838418
103	0.967811432671227	0.0643771346575469	0.0321885673287735
104	0.927446662384926	0.145106675230148	0.0725533376150739
105	0.937689176896963	0.124621646206074	0.0623108231030372

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	7	0.0777777777777778	NOK
10% type I error level	10	0.111111111111111	NOK