Multiple Linear Regression - Estimated Regression Equation

a[t] = + 54.6896103726068 -31.4214447834521b[t] + 31.5139663075632c[t] + 0.384318238038688d[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)	54.6896103726068	9.810049	5.5749	0	0
b	-31.4214447834521	6.81932	-4.6077	9e-06	4e-06
c	31.5139663075632	6.741798	4.6744	7e-06	3e-06
d	0.384318238038688	0.02944	13.0545	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.871229340532814
R-squared	0.759040563805242
Adjusted R-squared	0.754156250909402
F-TEST (value)	155.403754835561
F-TEST (DF numerator)	3
F-TEST (DF denominator)	148
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	6.70804072902335
Sum Squared Residuals	6659.67594249095

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	93.7	88.4100388579105	5.28996114208951
2	114.7	107.023829705601	7.67617029439873
3	121.2	110.528972572665	10.6710274273351
4	98.6	96.383933210889	2.21606678911099
5	111.5	106.870130773457	4.62986922654309
6	107.5	100.200784868951	7.29921513104851
7	69.1	70.4595281924414	-1.35952819244142
8	88.3	98.8535324334527	-10.5535324334527
9	114.7	109.282057678368	5.41794232163222
10	115.5	107.156221709586	8.34377829041392
11	109.5	102.883883543264	6.61611645673599
12	97.7	94.0168050903914	3.68319490960864
13	102	94.2203549641856	7.77964503581437
14	107.5	107.571116990855	-0.071116990855209
15	120.5	106.565501810522	13.934498189478
16	101.9	94.9171077818382	6.98289221816184
17	107.6	101.234176989927	6.36582301007292
18	113.9	108.371084661849	5.52891533815063
19	70.9	73.2059970825439	-2.30599708254393
20	93.4	94.9071686042948	-1.5071686042948
21	114.8	103.753570427998	11.0464295720021
22	117.8	113.106015006816	4.6939849931842
23	105.2	102.554354951826	2.64564504817371
24	95.1	85.637244286989	9.46275571301102
25	97.5	95.1747448351897	2.32525516481034
26	103.2	99.380168931859	3.81983106814098
27	111.6	107.129167719396	4.47083228060441
28	105.4	104.128636513625	1.27136348637454
29	97.8	100.850556177433	-3.05055617743273
30	104.4	111.801453637188	-7.40145363718759
31	75	71.7925614075069	3.20743859249312
32	82.2	86.1575346256084	-3.95753462560839
33	116.2	104.735732198146	11.4642678018542
34	115	109.4763579205	5.52364207950009
35	91.5	99.8000880072928	-8.30008800729285
36	89.5	82.1947638097596	7.30523619024034
37	90.7	92.5713458363926	-1.8713458363926
38	100.1	100.131726838023	-0.0317268380231115
39	100.1	107.735537615301	-7.63553761530083
40	93.5	101.481125755547	-7.98112575554741
41	84.4	98.4450091542923	-14.0450091542923
42	101.2	103.495238469852	-2.29523846985191
43	75.3	78.3074567489307	-3.00745674893069
44	76.5	84.3640503550114	-7.8640503550114
45	105.6	111.165934953711	-5.56593495371071
46	110.4	110.015116321209	0.38488367879148
47	91.5	99.6954549812911	-8.19545498129113
48	88.1	93.4196819879849	-5.31968198798496
49	88.2	94.305047550045	-6.10504755004503
50	99.3	101.552281104607	-2.25228110460682
51	117.1	114.797020295685	2.3029797043151
52	100.5	103.974911739159	-3.47491173915944
53	83.9	97.4827903450362	-13.5827903450361
54	110.7	111.045659493116	-0.345659493115766
55	66.9	75.2300644163023	-8.33006441630229
56	85.9	93.0973161104891	-7.19731611048909
57	112.1	113.615596256881	-1.5155962568811
58	105.5	108.113452649997	-2.61345264999673
59	104	105.641701903909	-1.64170190390903
60	97.8	97.047220955347	0.752779044653035
61	91.4	93.901501739318	-2.50150173931804
62	104.4	103.550012674542	0.849987325457665
63	111.2	104.409765423231	6.79023457676909
64	102.3	112.634160275348	-10.3341602753483
65	94.6	99.9281949268893	-5.32819492688933
66	109.4	112.353054369902	-2.95305436990173
67	69.1	72.5562049732402	-3.45620497324025
68	86.9	98.1340081892487	-11.2340081892487
69	118.3	115.716537638659	2.58346236134064
70	102.3	109.235078689945	-6.93507868994548
71	108.8	108.614476652445	0.185523347554633
72	101.2	97.459295650619	3.74070434938103
73	99.1	93.716474133006	5.38352586699398
74	105.5	101.659750158516	3.84024984148379
75	119.8	114.881002534839	4.91899746516068
76	94.5	99.8000880072928	-5.30008800729285
77	101.4	109.13118437372	-7.73118437371954
78	116.5	112.637735013032	3.86226498696784
79	66.7	67.3700706836532	-0.670070683653173
80	91.6	102.57287217781	-10.9728721778096
81	119.8	115.621169686229	4.1788303137706
82	116.4	112.770098653946	3.62990134605415
83	111.7	111.28406645303	0.415933546970458
84	102.4	96.315593088914	6.084406911086
85	99.3	104.500137944567	-5.20013794456694
86	109.3	108.610207009967	0.689792990032528
87	119	115.553560711782	3.44643928821777
88	102.5	100.546665924274	1.953334075726
89	104.9	106.30502337035	-1.40502337035045
90	122.4	114.488145011844	7.91185498815554
91	76.4	79.7941914168894	-3.39419141688939
92	103.2	106.696455158437	-3.49645515843693
93	120.8	111.469109501252	9.33089049874835
94	124.9	120.405212263069	4.49478773693083
95	110.2	113.609892999832	-3.4098929998321
96	99.7	92.4966078699871	7.20339213001289
97	97.1	112.306057418819	-15.206057418819
98	109.3	115.576321737922	-6.27632173792166
99	109.4	107.484288005968	1.91571199403191
100	117	123.555896026371	-6.55589602637123
101	107.1	106.772610980089	0.327389019910907
102	118.5	120.049347907808	-1.54934790780769
103	85.1	86.2286638149326	-1.12866381493261
104	85.3	97.7788592221911	-12.4788592221911
105	129.7	118.917756847993	10.7822431520067
106	128	119.397430117302	8.60256988269822
107	103.3	100.533128687474	2.76687131252598
108	103.9	93.5520585500593	10.3479414499407
109	96.2	89.8619139190058	6.33808608099424
110	106.3	105.37694625901	0.923053740989636
111	114.8	108.790277948668	6.00972205133195
112	101.9	101.849060328467	0.0509396715327991
113	90.9	97.9190622017677	-7.01906220176768
114	108.5	107.991751454493	0.508248545507101
115	75.6	77.26125822127	-1.66125822127002
116	90.6	92.6396805994549	-2.03968059945489
117	121.1	113.076840376922	8.02315962307761
118	116.6	113.125947567297	3.47405243270318
119	105.7	100.596457619031	5.10354238096878
120	101.1	89.9216731543784	11.1783268456216
121	97	88.7025430803863	8.29745691961369
122	105.4	96.1768108027474	9.22318919725259
123	117.9	114.910895073687	2.98910492631299
124	104.5	105.294394796264	-0.794394796263757
125	97.4	98.295543621893	-0.895543621892971
126	115.8	113.100329712426	2.69967028757361
127	73.1	75.9140108272697	-2.81401082726974
128	90.6	98.2677975650713	-7.66779756507131
129	124.1	115.594826042744	8.50517395725617
130	110.1	109.86564826806	0.234351731940278
131	103.4	102.858244887571	0.541755112428868
132	109.4	86.7218718002907	22.6781281997093
133	92.1	95.8522776424031	-3.75227764240314
134	107.8	114.584907815362	-6.78490781536215
135	116.2	126.178504317783	-9.97850431778322
136	97.5	103.304481764169	-5.8044817641687
137	104.8	112.301090350797	-7.50109035079676
138	106.2	111.31608215233	-5.11608215232999
139	73.6	76.7808487629353	-3.1808487629353
140	100.7	106.118544186808	-5.41854418680778
141	123.4	120.44790080819	2.9520991918098
142	109.1	111.136021614041	-2.03602161404062
143	100.1	114.105934492348	-14.005934492348
144	105.9	98.0257975874002	7.87420241259978
145	104.8	101.068317391998	3.73168260800237
146	110.8	105.130702481183	5.66929751881682
147	118.4	127.516520360195	-9.11652036019488
148	93.1	108.746140347065	-15.6461403470653
149	105.4	109.010183124509	-3.61018312450946
150	113.6	110.871281411053	2.728718588947
151	75	82.4851165087045	-7.48511650870454
152	94	103.859616267748	-9.85961626774784

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.0820442618929551	0.16408852378591	0.917955738107045
8	0.412666985743787	0.825333971487574	0.587333014256213
9	0.339459708061187	0.678919416122374	0.660540291938813
10	0.230998369373002	0.461996738746004	0.769001630626998
11	0.154398171160195	0.30879634232039	0.845601828839805
12	0.100341439092093	0.200682878184185	0.899658560907907
13	0.0779136983364417	0.155827396672883	0.922086301663558
14	0.116616769657023	0.233233539314046	0.883383230342977
15	0.0841889929726907	0.168377985945381	0.915811007027309
16	0.0556864752214236	0.111372950442847	0.944313524778576
17	0.0436648486464139	0.0873296972928278	0.956335151353586
18	0.0418718014243214	0.0837436028486428	0.958128198575679
19	0.0412435020541831	0.0824870041083661	0.958756497945817
20	0.0315480892491857	0.0630961784983714	0.968451910750814
21	0.0258196012582443	0.0516392025164886	0.974180398741756
22	0.0300293411787511	0.0600586823575021	0.969970658821249
23	0.0276338295868386	0.0552676591736772	0.972366170413161
24	0.0340247716837248	0.0680495433674496	0.965975228316275
25	0.0286542876634252	0.0573085753268505	0.971345712336575
26	0.0212232358066106	0.0424464716132212	0.978776764193389
27	0.0200053022863499	0.0400106045726998	0.97999469771365
28	0.0206850261203344	0.0413700522406687	0.979314973879666
29	0.0331015670881829	0.0662031341763659	0.966898432911817
30	0.101455231803149	0.202910463606298	0.898544768196851
31	0.0784342006960504	0.156868401392101	0.92156579930395
32	0.0810778943107335	0.162155788621467	0.918922105689266
33	0.086264381798984	0.172528763597968	0.913735618201016
34	0.078543721288246	0.157087442576492	0.921456278711754
35	0.211091219918638	0.422182439837276	0.788908780081362
36	0.202846152268831	0.405692304537662	0.797153847731169
37	0.205957041185611	0.411914082371222	0.794042958814389
38	0.187811590935444	0.375623181870889	0.812188409064556
39	0.320334000512196	0.640668001024391	0.679665999487804
40	0.430590926781557	0.861181853563114	0.569409073218443
41	0.679221749222223	0.641556501555553	0.320778250777777
42	0.652554877258664	0.694890245482672	0.347445122741336
43	0.614141796194339	0.771716407611321	0.385858203805661
44	0.624290598085964	0.751418803828073	0.375709401914036
45	0.634128505136005	0.73174298972799	0.365871494863995
46	0.587043258820451	0.825913482359099	0.412956741179549
47	0.624529461001763	0.750941077996473	0.375470538998237
48	0.604122749540031	0.791754500919937	0.395877250459969
49	0.591940117653428	0.816119764693143	0.408059882346571
50	0.55322132882589	0.89355734234822	0.44677867117411
51	0.509081861144911	0.981836277710177	0.490918138855088
52	0.473348169198512	0.946696338397024	0.526651830801488
53	0.613937057689491	0.772125884621018	0.386062942310509
54	0.565666512000626	0.868666975998748	0.434333487999374
55	0.566077495514428	0.867845008971144	0.433922504485572
56	0.561284869406256	0.877430261187488	0.438715130593744
57	0.516118228201722	0.967763543596555	0.483881771798278
58	0.471269432352309	0.942538864704619	0.528730567647691
59	0.425678994459365	0.851357988918729	0.574321005540635
60	0.384393901559848	0.768787803119695	0.615606098440152
61	0.340606258547955	0.68121251709591	0.659393741452045
62	0.303957269419491	0.607914538838982	0.696042730580509
63	0.319017734302912	0.638035468605824	0.680982265697088
64	0.378761980508665	0.757523961017329	0.621238019491336
65	0.354568433915263	0.709136867830526	0.645431566084737
66	0.317342556059759	0.634685112119519	0.682657443940241
67	0.284425379170435	0.568850758340871	0.715574620829565
68	0.350103352170636	0.700206704341273	0.649896647829364
69	0.315618831763818	0.631237663527636	0.684381168236182
70	0.312054268228586	0.624108536457173	0.687945731771414
71	0.272042708456164	0.544085416912329	0.727957291543836
72	0.253092006276394	0.506184012552788	0.746907993723606
73	0.248280064839124	0.496560129678248	0.751719935160876
74	0.228483791633755	0.45696758326751	0.771516208366245
75	0.213560653055927	0.427121306111855	0.786439346944073
76	0.196226807160527	0.392453614321053	0.803773192839473
77	0.203808006036618	0.407616012073236	0.796191993963382
78	0.183020948756222	0.366041897512444	0.816979051243778
79	0.167724755626648	0.335449511253295	0.832275244373352
80	0.215245135400299	0.430490270800598	0.784754864599701
81	0.195538691831829	0.391077383663658	0.804461308168171
82	0.172892722226408	0.345785444452815	0.827107277773592
83	0.144572923885175	0.28914584777035	0.855427076114825
84	0.139873076837949	0.279746153675898	0.860126923162051
85	0.12962114352408	0.25924228704816	0.87037885647592
86	0.106744891291066	0.213489782582133	0.893255108708934
87	0.0905421637177348	0.18108432743547	0.909457836282265
88	0.0739946495995343	0.147989299199069	0.926005350400466
89	0.0597605463873278	0.119521092774656	0.940239453612672
90	0.063197082542908	0.126394165085816	0.936802917457092
91	0.0581046983340513	0.116209396668103	0.941895301665949
92	0.0481461315226391	0.0962922630452781	0.951853868477361
93	0.0599791913707788	0.119958382741558	0.940020808629221
94	0.0520461694179533	0.104092338835907	0.947953830582047
95	0.0434672290262084	0.0869344580524167	0.956532770973792
96	0.04346846284436	0.08693692568872	0.95653153715564
97	0.108892851293016	0.217785702586033	0.891107148706984
98	0.103910808739806	0.207821617479612	0.896089191260194
99	0.0845262188509536	0.169052437701907	0.915473781149046
100	0.0803391841078556	0.160678368215711	0.919660815892144
101	0.0634691780405943	0.126938356081189	0.936530821959406
102	0.0498248932651873	0.0996497865303746	0.950175106734813
103	0.0412705300107904	0.0825410600215808	0.95872946998921
104	0.0718533673227125	0.143706734645425	0.928146632677288
105	0.103997532658743	0.207995065317486	0.896002467341257
106	0.128584844035052	0.257169688070104	0.871415155964948
107	0.107373229832111	0.214746459664222	0.892626770167889
108	0.135328306092056	0.270656612184112	0.864671693907944
109	0.127498417156164	0.254996834312328	0.872501582843836
110	0.109351598719327	0.218703197438653	0.890648401280673
111	0.114890688241351	0.229781376482701	0.885109311758649
112	0.0954423991849617	0.190884798369923	0.904557600815038
113	0.0864743199205911	0.172948639841182	0.913525680079409
114	0.0682397007603728	0.136479401520746	0.931760299239627
115	0.0592441298525856	0.118488259705171	0.940755870147414
116	0.0457073053197423	0.0914146106394847	0.954292694680258
117	0.0585733688025083	0.117146737605017	0.941426631197492
118	0.053656370593217	0.107312741186434	0.946343629406783
119	0.0520164853766991	0.104032970753398	0.947983514623301
120	0.0883393540536813	0.176678708107363	0.911660645946319
121	0.103796817034456	0.207593634068912	0.896203182965544
122	0.145825730481869	0.291651460963737	0.854174269518131
123	0.123314954095533	0.246629908191066	0.876685045904467
124	0.0979341518892123	0.195868303778425	0.902065848110788
125	0.0749502135043169	0.149900427008634	0.925049786495683
126	0.0583373175495089	0.116674635099018	0.941662682450491
127	0.055930576952556	0.111861153905112	0.944069423047444
128	0.0461733876548788	0.0923467753097575	0.953826612345121
129	0.0790493722694052	0.15809874453881	0.920950627730595
130	0.0617990609658012	0.123598121931602	0.938200939034199
131	0.0446663467202856	0.0893326934405712	0.955333653279714
132	0.405747095627429	0.811494191254858	0.594252904372571
133	0.342738913934462	0.685477827868924	0.657261086065538
134	0.28844428452596	0.57688856905192	0.71155571547404
135	0.335978048821894	0.671956097643789	0.664021951178106
136	0.29417115690069	0.588342313801381	0.70582884309931
137	0.472404057038239	0.944808114076477	0.527595942961761
138	0.42609928430735	0.852198568614699	0.57390071569265
139	0.396064805293307	0.792129610586614	0.603935194706693
140	0.33771324928459	0.67542649856918	0.66228675071541
141	0.248572772633333	0.497145545266665	0.751427227366667
142	0.169855160593073	0.339710321186146	0.830144839406927
143	0.191350538131645	0.382701076263289	0.808649461868355
144	0.1705075553406	0.341015110681199	0.8294924446594
145	0.119697753360919	0.239395506721839	0.880302246639081

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	3	0.0215827338129496	OK
10% type I error level	21	0.151079136690647	NOK