Multiple Linear Regression - Estimated Regression Equation

6[t] = + 10.3271474937312 + 0.0662573788002266`1`[t] -0.218600270105326`2`[t] -0.02568650752985`3`[t] + 0.489414079564887`4`[t] + 0.186874711743136`5`[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)	10.3271474937312	2.190656	4.7142	5e-06	3e-06
`1`	0.0662573788002266	0.102754	0.6448	0.519992	0.259996
`2`	-0.218600270105326	0.087003	-2.5126	0.013002	0.006501
`3`	-0.02568650752985	0.066965	-0.3836	0.70181	0.350905
`4`	0.489414079564887	0.09165	5.34	0	0
`5`	0.186874711743136	0.075681	2.4692	0.014618	0.007309

Multiple Linear Regression - Regression Statistics
Multiple R	0.467778313071224
R-squared	0.21881655017976
Adjusted R-squared	0.193778619095778
F-TEST (value)	8.73940220722738
F-TEST (DF numerator)	5
F-TEST (DF denominator)	156
p-value	2.50495662768024e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.26799013052815
Sum Squared Residuals	1666.04248094378

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	23	21.3532109418241	1.6467890581759
2	20	22.6922011442933	-2.69220114429332
3	20	21.1011299852009	-1.10112998520093
4	21	21.0813317841148	-0.0813317841148377
5	24	23.4326308322317	0.56736916776832
6	22	24.9144041853069	-2.91440418530693
7	23	25.4188450927633	-2.41884509276329
8	20	25.9733002420762	-5.97330024207617
9	25	22.2213833875057	2.77861661249429
10	23	22.5478630416019	0.452136958398129
11	27	23.461058429171	3.538941570829
12	27	23.4699300752268	3.53006992477317
13	22	24.2150491868042	-2.21504918680417
14	24	23.0990431795826	0.900956820417402
15	25	23.8166397418233	1.18336025817668
16	22	22.7138143387721	-0.713814338772141
17	28	25.0656942574291	2.93430574257088
18	28	23.7831942953533	4.21680570464668
19	27	22.9788046042058	4.02119539579424
20	25	25.0911790622335	-0.0911790622334552
21	16	19.44865073865	-3.44865073865005
22	28	24.1824357452814	3.81756425471857
23	21	21.9483563053287	-0.948356305328654
24	24	24.9000026140132	-0.900002614013245
25	27	25.1334520078113	1.86654799218872
26	14	22.0420217650292	-8.04202176502921
27	14	22.0420217650292	-8.04202176502921
28	27	20.7734820075811	6.2265179924189
29	20	16.7625099035286	3.23749009647141
30	21	23.3564207408368	-2.35642074083684
31	22	22.7903522293961	-0.790352229396114
32	21	22.3756268439258	-1.37562684392575
33	12	20.5644639500463	-8.56446395004628
34	20	20.3251683012412	-0.325168301241242
35	24	22.7488115254096	1.25118847459044
36	19	22.4535268908098	-3.45352689080984
37	28	24.6451631417332	3.35483685826683
38	23	23.2390272897502	-0.239027289750245
39	27	24.3811565130966	2.61884348690339
40	22	22.9573899005344	-0.957389900534429
41	27	23.6302125824792	3.36978741752079
42	26	22.4030895053296	3.5969104946704
43	22	21.672129737539	0.327870262460986
44	21	21.6947993733673	-0.694799373367323
45	19	20.4786591170142	-1.47865911701418
46	24	21.6186527693762	2.38134723062382
47	19	21.6087474156476	-2.60874741564759
48	26	22.8267204791938	3.17327952080618
49	22	22.9522128099636	-0.952212809963556
50	28	22.144499234494	5.85550076550596
51	21	21.1557357890171	-0.155735789017119
52	23	22.5077186970121	0.49228130298786
53	28	24.0959147991957	3.90408520080427
54	10	22.9723167259603	-12.9723167259603
55	24	22.3615919113799	1.63840808862006
56	21	21.5823885317636	-0.582388531763583
57	21	22.6227109767366	-1.6227109767366
58	24	22.7958528713736	1.20414712862637
59	24	21.5109625590441	2.48903744095589
60	25	16.8137967202035	8.18620327979646
61	25	19.8088747427379	5.19112525726213
62	23	21.3948628796332	1.60513712036678
63	21	20.3993791000696	0.60062089993037
64	16	22.2187752059888	-6.2187752059888
65	17	19.9897870684707	-2.9897870684707
66	25	24.5078901883564	0.492109811643556
67	24	22.2853729130849	1.71462708691508
68	23	21.8326844276125	1.16731557238746
69	25	23.3999785511902	1.6000214488098
70	23	24.2349161600276	-1.23491616002755
71	28	23.675516614088	4.32448338591199
72	26	22.5523503522668	3.44764964773321
73	22	21.0597837623024	0.940216237697612
74	19	23.4879998688578	-4.48799986885783
75	26	23.1999094311958	2.80009056880422
76	18	20.4507472179486	-2.45074721794862
77	18	19.5875837148975	-1.58758371489746
78	25	23.7081215362635	1.29187846373653
79	27	24.774979919961	2.22502008003896
80	12	21.8456629188089	-9.84566291880887
81	15	23.7105575374249	-8.71055753742487
82	21	22.0034202537067	-1.00342025370673
83	23	20.9674133492917	2.03258665070833
84	22	23.3186472247421	-1.31864722474213
85	21	21.7100750237407	-0.710075023740679
86	24	22.0309737715664	1.96902622843362
87	27	23.9703447893885	3.02965521061147
88	22	21.5841298558383	0.415870144161682
89	28	22.8342246842559	5.16577531574406
90	26	20.9298294171043	5.07017058289573
91	10	17.2549020152763	-7.25490201527629
92	19	21.491329316676	-2.49132931667603
93	22	24.4867512669772	-2.48675126697718
94	21	23.8904790047231	-2.89047900472313
95	24	23.4016806254977	0.598319374502351
96	25	23.2267033384121	1.77329666158794
97	21	22.1877309308809	-1.18773093088094
98	20	21.1516624759661	-1.15166247596609
99	21	22.9610880554903	-1.9610880554903
100	24	22.3345995133562	1.66540048664383
101	23	24.2010530937771	-1.20105309377709
102	18	19.7954729367789	-1.79547293677893
103	24	21.9408274750772	2.05917252492277
104	24	22.9893050428039	1.01069495719607
105	19	21.7673064126256	-2.76730641262558
106	20	20.6937281050899	-0.693728105089885
107	18	21.8637889782061	-3.86378897820607
108	20	22.707094414934	-2.70709441493402
109	27	24.6680397877163	2.33196021228374
110	23	21.4695002051423	1.53049979485774
111	26	26.4599817288832	-0.459981728883207
112	23	23.5737450530668	-0.573745053066808
113	17	20.0196509012367	-3.01965090123668
114	21	20.365312645831	0.634687354169027
115	25	24.8492331804747	0.150766819525253
116	23	20.7347817688071	2.2652182311929
117	27	22.9047360304187	4.09526396958133
118	24	23.7362003082553	0.263799691744725
119	20	19.8459491617779	0.154050838222103
120	27	20.6141381027166	6.38586189728345
121	21	21.1440931209333	-0.144093120933261
122	24	21.3479771752384	2.65202282476156
123	21	23.7856375181522	-2.78563751815222
124	15	17.2324183638844	-2.23241836388437
125	25	24.7664541260444	0.233545873955635
126	25	23.1309020560859	1.8690979439141
127	22	22.5059389209716	-0.50593892097156
128	24	24.4295761438585	-0.42957614385847
129	21	20.4723215729087	0.527678427091288
130	22	21.2649437744829	0.735056225517076
131	23	20.00058921226	2.99941078773998
132	22	21.9996747398848	0.000325260115166356
133	20	21.7718272780756	-1.77182727807564
134	23	22.7979341134957	0.202065886504298
135	25	22.491054557231	2.50894544276897
136	23	21.4723841689512	1.52761583104877
137	22	24.1332439748094	-2.13324397480944
138	25	22.325115378879	2.67488462112103
139	26	23.8880867402612	2.11191325973883
140	22	22.5199738535174	-0.519973853517375
141	24	22.2091018978528	1.79089810214716
142	24	24.3354295769737	-0.335429576973748
143	25	22.8727468085826	2.12725319141738
144	20	21.4436544565722	-1.4436544565722
145	26	23.3423469687723	2.65765303122771
146	21	20.3418377257559	0.658162274244056
147	26	23.0361907471987	2.96380925280129
148	21	22.0144257854842	-1.01442578548424
149	22	21.7575906428043	0.242409357195697
150	16	21.3887938961823	-5.38879389618233
151	26	21.5746384997236	4.42536150027638
152	28	24.0752372342964	3.92476276570363
153	18	23.5135056993805	-5.51350569938054
154	25	25.6125431138671	-0.612543113867108
155	23	24.3250976965645	-1.32509769656451
156	21	21.085414004066	-0.0854140040660412
157	20	24.093289214127	-4.09328921412702
158	25	21.8231618411695	3.17683815883051
159	22	24.4867512669772	-2.48675126697718
160	21	21.848874681847	-0.848874681846981
161	16	19.2690999425148	-3.26909994251478
162	18	20.0590965590203	-2.05909655902028

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.151272826524046	0.302545653048091	0.848727173475954
10	0.0655905899737949	0.13118117994759	0.934409410026205
11	0.328001134800491	0.656002269600982	0.671998865199509
12	0.281257388535677	0.562514777071354	0.718742611464323
13	0.190033817476157	0.380067634952314	0.809966182523843
14	0.15428767936351	0.30857535872702	0.84571232063649
15	0.0965675791147571	0.193135158229514	0.903432420885243
16	0.0594077160627975	0.118815432125595	0.940592283937203
17	0.177853730094063	0.355707460188126	0.822146269905937
18	0.221886341154906	0.443772682309813	0.778113658845094
19	0.173988109880038	0.347976219760076	0.826011890119962
20	0.153958728802386	0.307917457604771	0.846041271197614
21	0.29477452937168	0.589549058743359	0.705225470628321
22	0.356883268591652	0.713766537183305	0.643116731408348
23	0.28916157233217	0.578323144664341	0.71083842766783
24	0.232035423046442	0.464070846092884	0.767964576953558
25	0.191356995223424	0.382713990446847	0.808643004776576
26	0.527771553459241	0.944456893081518	0.472228446540759
27	0.729590329100831	0.540819341798339	0.270409670899169
28	0.864727914202513	0.270544171594973	0.135272085797487
29	0.886826417399475	0.22634716520105	0.113173582600525
30	0.864652528265849	0.270694943468302	0.135347471734151
31	0.829146605830888	0.341706788338225	0.170853394169112
32	0.79230565003985	0.415388699920301	0.20769434996015
33	0.912330345186557	0.175339309626885	0.0876696548134427
34	0.887881357584724	0.224237284830551	0.112118642415276
35	0.864593850074288	0.270812299851423	0.135406149925712
36	0.856325851337972	0.287348297324056	0.143674148662028
37	0.853481990484356	0.293036019031288	0.146518009515644
38	0.819360389545031	0.361279220909938	0.180639610454969
39	0.836521010150472	0.326957979699056	0.163478989849528
40	0.802333154633921	0.395333690732158	0.197666845366079
41	0.80407100019959	0.39185799960082	0.19592899980041
42	0.806550786969822	0.386898426060357	0.193449213030178
43	0.769628331781109	0.460743336437782	0.230371668218891
44	0.728263953853119	0.543472092293763	0.271736046146881
45	0.69004558282717	0.61990883434566	0.30995441717283
46	0.665401730417986	0.669196539164029	0.334598269582014
47	0.655650879850189	0.688698240299623	0.344349120149812
48	0.646414899707562	0.707170200584875	0.353585100292438
49	0.599422562932214	0.801154874135573	0.400577437067786
50	0.689631281698552	0.620737436602896	0.310368718301448
51	0.645541679079931	0.708916641840138	0.354458320920069
52	0.600600838934585	0.798798322130831	0.399399161065415
53	0.619330921706198	0.761338156587604	0.380669078293802
54	0.979827844036206	0.0403443119275884	0.0201721559637942
55	0.975632140782822	0.0487357184343562	0.0243678592171781
56	0.968433137510727	0.0631337249785458	0.0315668624892729
57	0.961068089571467	0.0778638208570659	0.038931910428533
58	0.951600541296086	0.0967989174078274	0.0483994587039137
59	0.946190022089616	0.107619955820769	0.0538099779103844
60	0.98787979046837	0.0242404190632599	0.0121202095316299
61	0.993519881504732	0.0129602369905364	0.00648011849526818
62	0.991933690998639	0.0161326180027224	0.00806630900136119
63	0.989028309070255	0.0219433818594902	0.0109716909297451
64	0.995343870384276	0.00931225923144896	0.00465612961572448
65	0.995153807048154	0.00969238590369292	0.00484619295184646
66	0.993274477749295	0.0134510445014094	0.00672552225070471
67	0.991682561760551	0.0166348764788977	0.00831743823944883
68	0.989151852190388	0.0216962956192248	0.0108481478096124
69	0.986403683452031	0.0271926330959371	0.0135963165479686
70	0.98255472501817	0.0348905499636593	0.0174452749818296
71	0.985325718184481	0.029348563631038	0.014674281815519
72	0.985535579183433	0.0289288416331339	0.0144644208165669
73	0.981437090804521	0.0371258183909584	0.0185629091954792
74	0.986537547811276	0.0269249043774479	0.0134624521887239
75	0.9851526537886	0.0296946924228004	0.0148473462114002
76	0.98304866813246	0.0339026637350793	0.0169513318675397
77	0.978769937419934	0.0424601251601321	0.0212300625800661
78	0.97302122038858	0.0539575592228392	0.0269787796114196
79	0.968218128680607	0.063563742638787	0.0317818713193935
80	0.997452503462353	0.00509499307529474	0.00254749653764737
81	0.99979907790944	0.000401844181119162	0.000200922090559581
82	0.999708167544895	0.00058366491021018	0.00029183245510509
83	0.999651012763957	0.000697974472087076	0.000348987236043538
84	0.999520699117788	0.000958601764423838	0.000479300882211919
85	0.999305281785526	0.00138943642894821	0.000694718214474105
86	0.999176014868801	0.00164797026239811	0.000823985131199056
87	0.999147770072949	0.0017044598541026	0.000852229927051298
88	0.998757583489587	0.00248483302082529	0.00124241651041264
89	0.999213088797899	0.00157382240420112	0.000786911202100561
90	0.99964480486845	0.000710390263100012	0.000355195131550006
91	0.999949590755865	0.000100818488269443	5.04092441347213e-05
92	0.999936847915167	0.000126304169666561	6.31520848332804e-05
93	0.999923392961387	0.00015321407722506	7.66070386125301e-05
94	0.999919994775064	0.000160010449872673	8.00052249363364e-05
95	0.999872681458761	0.000254637082478711	0.000127318541239356
96	0.999817963652057	0.000364072695886928	0.000182036347943464
97	0.999721493391803	0.00055701321639486	0.00027850660819743
98	0.999591987305055	0.000816025389888904	0.000408012694944452
99	0.999485246212967	0.00102950757406549	0.000514753787032746
100	0.999322874341826	0.00135425131634816	0.000677125658174079
101	0.99903751634627	0.00192496730746008	0.000962483653730038
102	0.998781780070224	0.00243643985955153	0.00121821992977576
103	0.998636384058715	0.00272723188257023	0.00136361594128512
104	0.998029983382925	0.00394003323415008	0.00197001661707504
105	0.99799319009027	0.00401361981945956	0.00200680990972978
106	0.99711731605119	0.00576536789761907	0.00288268394880954
107	0.997927526179055	0.00414494764188936	0.00207247382094468
108	0.997607175157847	0.00478564968430646	0.00239282484215323
109	0.997502348022936	0.00499530395412713	0.00249765197706356
110	0.996583432606227	0.00683313478754613	0.00341656739377306
111	0.995107689338993	0.00978462132201467	0.00489231066100733
112	0.993217249998169	0.0135655000036613	0.00678275000183064
113	0.99415414314741	0.0116917137051802	0.00584585685259011
114	0.991540734685943	0.0169185306281138	0.00845926531405691
115	0.988081117666221	0.0238377646675578	0.0119188823337789
116	0.986447665042608	0.0271046699147838	0.0135523349573919
117	0.986514170620897	0.0269716587582061	0.013485829379103
118	0.980873342092998	0.0382533158140031	0.0191266579070015
119	0.975547389015513	0.0489052219689738	0.0244526109844869
120	0.991198937640822	0.0176021247183553	0.00880106235917764
121	0.987276910660758	0.0254461786784851	0.0127230893392425
122	0.985108667452429	0.0297826650951411	0.0148913325475705
123	0.987633347042936	0.024733305914128	0.012366652957064
124	0.985109040394703	0.0297819192105936	0.0148909596052968
125	0.980735342771487	0.0385293144570253	0.0192646572285127
126	0.977750434819934	0.0444991303601314	0.0222495651800657
127	0.968119251396614	0.0637614972067729	0.0318807486033865
128	0.955073397996348	0.0898532040073044	0.0449266020036522
129	0.93791037537277	0.124179249254459	0.0620896246272296
130	0.915788900107382	0.168422199785237	0.0842110998926184
131	0.912319090860671	0.175361818278658	0.087680909139329
132	0.885046651591795	0.229906696816409	0.114953348408205
133	0.868874154575715	0.26225169084857	0.131125845424285
134	0.829004897875041	0.341990204249919	0.170995102124959
135	0.840394601310182	0.319210797379637	0.159605398689818
136	0.811683034801196	0.376633930397608	0.188316965198804
137	0.810138631620975	0.37972273675805	0.189861368379025
138	0.772458573943311	0.455082852113379	0.227541426056689
139	0.773821227675036	0.452357544649928	0.226178772324964
140	0.718999466049942	0.562001067900116	0.281000533950058
141	0.655282448700229	0.689435102599542	0.344717551299771
142	0.582292639586891	0.835414720826219	0.417707360413109
143	0.510088516783274	0.979822966433452	0.489911483216726
144	0.473689949032517	0.947379898065034	0.526310050967483
145	0.715510721135736	0.568978557728528	0.284489278864264
146	0.675063516724517	0.649872966550966	0.324936483275483
147	0.629093238495927	0.741813523008147	0.370906761504073
148	0.533323836477542	0.933352327044915	0.466676163522458
149	0.549000610732682	0.901998778534636	0.450999389267318
150	0.541380575424364	0.917238849151273	0.458619424575636
151	0.552354505887434	0.895290988225133	0.447645494112566
152	0.648444212951194	0.703111574097611	0.351555787048806
153	0.850174070234669	0.299651859530661	0.149825929765331

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	34	0.23448275862069	NOK
5% type I error level	67	0.462068965517241	NOK
10% type I error level	74	0.510344827586207	NOK