Multiple Linear Regression - Estimated Regression Equation

Yt[t] = + 2.29293716989081 -0.000645474871196689Xt[t] -0.167840089433265M1[t] -0.092571141570267M2[t] + 0.0043537150448783M3[t] -0.0252159683743238M4[t] -0.0265814134344323M5[t] + 0.0603542010952332M6[t] + 0.135666180616312M7[t] + 0.170881338906710M8[t] + 0.154472862188522M9[t] + 0.0962793817439484M10[t] + 0.0615052979488673M11[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)	2.29293716989081	2.122881	1.0801	0.28449	0.142245
Xt	-0.000645474871196689	0.009966	-0.0648	0.94858	0.47429
M1	-0.167840089433265	0.401087	-0.4185	0.677128	0.338564
M2	-0.092571141570267	0.400654	-0.2311	0.818075	0.409038
M3	0.0043537150448783	0.400279	0.0109	0.991359	0.495679
M4	-0.0252159683743238	0.39974	-0.0631	0.949915	0.474958
M5	-0.0265814134344323	0.399429	-0.0665	0.947166	0.473583
M6	0.0603542010952332	0.399197	0.1512	0.880342	0.440171
M7	0.135666180616312	0.398981	0.34	0.73504	0.36752
M8	0.170881338906710	0.398867	0.4284	0.669907	0.334954
M9	0.154472862188522	0.398765	0.3874	0.69987	0.349935
M10	0.0962793817439484	0.398727	0.2415	0.81003	0.405015
M11	0.0615052979488673	0.39869	0.1543	0.877925	0.438962

Multiple Linear Regression - Regression Statistics
Multiple R	0.153756064704567
R-squared	0.0236409274334351
Adjusted R-squared	-0.17494057885129
F-TEST (value)	0.119048988376283
F-TEST (DF numerator)	12
F-TEST (DF denominator)	59
p-value	0.999855450730628
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.69053774045455
Sum Squared Residuals	28.1336998885324

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1.79	1.99929402806130	-0.209294028061304
2	1.95	2.07417569100159	-0.124175691001588
3	2.26	2.17077781018113	0.089222189818865
4	2.04	2.14107903178769	-0.101079031787693
5	2.16	2.13971358672759	0.0202864132724147
6	2.75	2.22664920125725	0.523350798742749
7	2.79	2.30196118077833	0.488038819221672
8	2.88	2.33665995917177	0.543340040828229
9	3.36	2.31979965004375	1.04020034995625
10	2.97	2.26141252713781	0.708587472862188
11	3.1	2.22650934836849	0.873490651631509
12	2.49	2.16481040795827	0.325189592041735
13	2.2	1.99690577103788	0.203094228962119
14	2.25	2.0715937915168	0.178406208483199
15	2.09	2.16819591069635	-0.0781959106963484
16	2.79	2.13778710994459	0.65221289005541
17	3.14	2.13584073750041	1.00415926249959
18	2.93	2.22232451962023	0.707675480379767
19	2.65	2.29724921421859	0.352750785781407
20	2.67	2.33246437250899	0.337535627491008
21	2.26	2.31573315835521	-0.0557331583552061
22	2.35	2.25747513042351	0.092524869576488
23	2.13	2.22257195165419	-0.0925719516541917
24	2.18	2.16093755873109	0.0190624412689152
25	2.9	1.99290382683646	0.907096173163539
26	2.63	2.0679791322381	0.5620208677619
27	2.67	2.16451670393053	0.505483296069473
28	1.81	2.13443064061437	-0.324430640614367
29	1.33	2.13280700560578	-0.802807005605781
30	0.88	2.21961352516121	-1.33961352516121
31	1.28	2.29447367227245	-1.01447367227245
32	1.26	2.32955973558861	-1.06955973558861
33	1.26	2.31282852143482	-1.05282852143482
34	1.29	2.25457049350313	-0.964570493503127
35	1.1	2.21953821975957	-1.11953821975957
36	1.37	2.15796837432358	-0.78796837432358
37	1.21	1.98974099996760	-0.779740999967597
38	1.74	2.06494540034348	-0.324945400343475
39	1.76	2.1618057094715	-0.401805709471501
40	1.48	2.13217147856518	-0.652171478565179
41	1.04	2.13028965360811	-1.09028965360811
42	1.62	2.21683798321506	-0.596837983215061
43	1.49	2.29195632027478	-0.80195632027478
44	1.79	2.32697783610382	-0.53697783610382
45	1.8	2.31044026441139	-0.510440264411393
46	1.58	2.25211768899258	-0.67211768899258
47	1.86	2.2170208677619	-0.3570208677619
48	1.74	2.15519283237743	-0.415192832377434
49	1.59	1.98715910048281	-0.397159100482810
50	1.26	2.06223440588445	-0.80223440588445
51	1.13	2.15896562003824	-1.02896562003824
52	1.92	2.12907319918344	-0.209073199183435
53	2.61	2.12757865914909	0.482421340850912
54	2.26	2.21393334629468	0.0460666537053237
55	2.41	2.28892258838016	0.121077411619844
56	2.26	2.32381500923496	-0.0638150092349567
57	2.03	2.30721289005541	-0.27721289005541
58	2.86	2.24882576714948	0.611174232850523
59	2.55	2.21379349340592	0.336206506594083
60	2.27	2.15215910048281	0.11784089951719
61	2.26	1.98399627361395	0.276003726386053
62	2.57	2.05907157901559	0.510928420984414
63	3.07	2.15573824568225	0.914261754317747
64	2.76	2.12545853990473	0.634541460095266
65	2.51	2.12377035740903	0.386229642590973
66	2.87	2.21064142445157	0.659358575548427
67	3.14	2.28543702407569	0.854562975924307
68	3.11	2.32052308739185	0.789476912608147
69	3.16	2.30398551569943	0.856014484300574
70	2.47	2.24559839279349	0.224401607206507
71	2.57	2.21056611904993	0.359433880950067
72	2.89	2.14893172612683	0.741068273873173

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
16	0.0564857295518495	0.112971459103699	0.94351427044815
17	0.0379945714989894	0.0759891429979788	0.96200542850101
18	0.0324662733710641	0.0649325467421283	0.967533726628936
19	0.0433793806220466	0.0867587612440932	0.956620619377953
20	0.042277437971179	0.084554875942358	0.957722562028821
21	0.172330427811717	0.344660855623435	0.827669572188283
22	0.178458252979566	0.356916505959133	0.821541747020434
23	0.233360209427825	0.46672041885565	0.766639790572175
24	0.200098410007447	0.400196820014894	0.799901589992553
25	0.517292498785791	0.965415002428418	0.482707501214209
26	0.719872517125495	0.56025496574901	0.280127482874505
27	0.91945077913781	0.161098441724380	0.0805492208621902
28	0.956587487702365	0.0868250245952709	0.0434125122976354
29	0.98752622283293	0.0249475543341408	0.0124737771670704
30	0.998570490793306	0.00285901841338866	0.00142950920669433
31	0.998847110283313	0.00230577943337366	0.00115288971668683
32	0.998949797025514	0.00210040594897104	0.00105020297448552
33	0.998898392212705	0.00220321557459068	0.00110160778729534
34	0.998461040911522	0.00307791817695601	0.00153895908847801
35	0.998011416806666	0.00397716638666838	0.00198858319333419
36	0.996462926071196	0.0070741478576074	0.0035370739288037
37	0.993512354692534	0.0129752906149320	0.00648764530746602
38	0.993433830978843	0.0131323380423138	0.00656616902115692
39	0.992242103060184	0.0155157938796323	0.00775789693981613
40	0.986367613314366	0.0272647733712690	0.0136323866856345
41	0.98559004155931	0.0288199168813777	0.0144099584406889
42	0.975167347816385	0.0496653043672292	0.0248326521836146
43	0.964063937447077	0.0718721251058452	0.0359360625529226
44	0.942145406777622	0.115709186444755	0.0578545932223776
45	0.911218518598022	0.177562962803955	0.0887814814019775
46	0.867475355167718	0.265049289664564	0.132524644832282
47	0.822084779809601	0.355830440380798	0.177915220190399
48	0.756797374263717	0.486405251472567	0.243202625736283
49	0.676323854510123	0.647352290979754	0.323676145489877
50	0.650980208214707	0.698039583570586	0.349019791785293
51	0.881901689060655	0.236196621878691	0.118098310939345
52	0.84267615081186	0.314647698376279	0.157323849188140
53	0.873480013713396	0.253039972573208	0.126519986286604
54	0.798879571481916	0.402240857036168	0.201120428518084
55	0.703259628502654	0.593480742994692	0.296740371497346
56	0.599530120128846	0.800939759742308	0.400469879871154

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	7	0.170731707317073	NOK
5% type I error level	14	0.341463414634146	NOK
10% type I error level	20	0.48780487804878	NOK