Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = + 0.019302128684081 -0.0356310600070104PR4[t] + 0.0196818913779413UseLimit[t] -0.0204004840824279T[t] + 0.030932151490127PR_T[t] + 0.240886186179452Used[t] -0.248989269264305T_Used[t] + 0.550914039104012PR_T_Used[t] + 0.0282262083942369Useful[t] -0.0305769395691072Outcome[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)	0.019302128684081	0.037602	0.5133	0.608514	0.304257
PR4	-0.0356310600070104	0.043389	-0.8212	0.412885	0.206443
UseLimit	0.0196818913779413	0.040459	0.4865	0.627379	0.313689
T	-0.0204004840824279	0.085858	-0.2376	0.812524	0.406262
PR_T	0.030932151490127	0.112504	0.2749	0.783754	0.391877
Used	0.240886186179452	0.052018	4.6308	8e-06	4e-06
T_Used	-0.248989269264305	0.120785	-2.0614	0.041061	0.02053
PR_T_Used	0.550914039104012	0.145706	3.781	0.000228	0.000114
Useful	0.0282262083942369	0.043812	0.6443	0.520437	0.260219
Outcome	-0.0305769395691072	0.037951	-0.8057	0.421751	0.210875

Multiple Linear Regression - Regression Statistics
Multiple R	0.592495998607993
R-squared	0.351051508366482
Adjusted R-squared	0.310492227639387
F-TEST (value)	8.65526957266698
F-TEST (DF numerator)	9
F-TEST (DF denominator)	144
p-value	2.56308974044828e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.223304925438483
Sum Squared Residuals	7.18057292041243

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	-0.0166923121063962	0.0166923121063962
2	0	-0.0163289313229295	0.0163289313229295
3	0	-0.0163289313229294	0.0163289313229294
4	0	-0.0163289313229294	0.0163289313229294
5	0	-0.0163289313229294	0.0163289313229294
6	0	0.0010022288801416	-0.0010022288801416
7	0	-0.0163289313229294	0.0163289313229294
8	0	-0.00579726391523035	0.00579726391523035
9	0	-0.0469058708920366	0.0469058708920366
10	0	0.0033529600550119	-0.0033529600550119
11	0	0.013884627462711	-0.013884627462711
12	0	-0.0163289313229294	0.0163289313229294
13	0	0.25278346325076	-0.25278346325076
14	0	0.013884627462711	-0.013884627462711
15	0	0.222206523681652	-0.222206523681652
16	0	0.534662960929059	-0.534662960929059
17	1	0.584921791876107	0.415078208123893
18	0	0.013884627462711	-0.013884627462711
19	0	-0.0469058708920366	0.0469058708920366
20	1	0.534662960929059	0.465337039070941
21	0	0.0315791684492488	-0.0315791684492488
22	0	0.241888415059594	-0.241888415059594
23	0	-0.0186796624977997	0.0186796624977997
24	0	0.00100222888014162	-0.00100222888014162
25	0	0.506436752534822	-0.506436752534822
26	0	0.25278346325076	-0.25278346325076
27	0	-0.0272239795140952	0.0272239795140952
28	0	0.224557254856523	-0.224557254856523
29	0	-0.0469058708920366	0.0469058708920366
30	0	0.0118972770713075	-0.0118972770713075
31	0	-0.0163289313229294	0.0163289313229294
32	0	0.00335296005501194	-0.00335296005501194
33	0	0.0315791684492488	-0.0315791684492488
34	0	-0.0363742034843375	0.0363742034843375
35	0	-0.0163289313229294	0.0163289313229294
36	0	-0.0163289313229294	0.0163289313229294
37	0	0.584921791876107	-0.584921791876107
38	0	0.193980315287416	-0.193980315287416
39	0	-0.0186796624977997	0.0186796624977997
40	0	0.0224289444790065	-0.0224289444790065
41	1	0.222206523681652	0.777793476318348
42	0	0.193980315287416	-0.193980315287416
43	0	0.00100222888014162	-0.00100222888014162
44	0	0.013884627462711	-0.013884627462711
45	0	0.0118972770713075	-0.0118972770713075
46	0	-0.0186796624977997	0.0186796624977997
47	0	-0.0163289313229294	0.0163289313229294
48	0	-0.0469058708920366	0.0469058708920366
49	0	-0.0186796624977997	0.0186796624977997
50	0	-0.0163289313229294	0.0163289313229294
51	0	0.537013692103929	-0.537013692103929
52	1	0.584921791876107	0.415078208123893
53	0	-0.0469058708920366	0.0469058708920366
54	1	0.224557254856523	0.775442745143477
55	0	-0.0163289313229294	0.0163289313229294
56	0	0.506436752534822	-0.506436752534822
57	0	0.222206523681652	-0.222206523681652
58	0	-0.0469058708920366	0.0469058708920366
59	0	-0.0469058708920366	0.0469058708920366
60	1	0.554344852307	0.445655147693
61	0	-0.0166923121063962	0.0166923121063962
62	0	0.25278346325076	-0.25278346325076
63	0	-0.0163289313229294	0.0163289313229294
64	0	-0.0166923121063962	0.0166923121063962
65	0	-0.0163289313229294	0.0163289313229294
66	0	-0.0163289313229294	0.0163289313229294
67	1	0.565239900498166	0.434760099501834
68	0	0.00335296005501194	-0.00335296005501194
69	0	-0.0469058708920366	0.0469058708920366
70	0	0.224557254856523	-0.224557254856523
71	0	-0.0163289313229294	0.0163289313229294
72	0	-0.0469058708920366	0.0469058708920366
73	0	0.193980315287416	-0.193980315287416
74	0	0.244239146234464	-0.244239146234464
75	0	-0.0469058708920366	0.0469058708920366
76	0	-0.00814799509010065	0.00814799509010065
77	0	-0.0469058708920366	0.0469058708920366
78	0	0.222206523681652	-0.222206523681652
79	1	0.506436752534822	0.493563247465178
80	0	0.0224289444790065	-0.0224289444790065
81	0	-0.0163289313229294	0.0163289313229294
82	0	0.213662206665357	-0.213662206665357
83	0	-0.0163289313229294	0.0163289313229294
84	1	0.224557254856523	0.775442745143477
85	0	-0.0186796624977997	0.0186796624977997
86	0	0.00335296005501194	-0.00335296005501194
87	0	0.00840708049291515	-0.00840708049291515
88	0	-0.0200964866743659	0.0200964866743659
89	0	0.019302128684081	-0.019302128684081
90	0	-0.0112748108850262	0.0112748108850262
91	0	0.0475283370783178	-0.0475283370783178
92	0	0.0185835359795944	-0.0185835359795944
93	0	0.0672102284562592	-0.0672102284562592
94	0	0.019302128684081	-0.019302128684081
95	0	-0.00109835539834695	0.00109835539834695
96	0	-0.0112748108850262	0.0112748108850262
97	0	0.0185835359795944	-0.0185835359795944
98	0	0.019302128684081	-0.019302128684081
99	0	0.0389840200620223	-0.0389840200620223
100	0	-0.0112748108850262	0.0112748108850262
101	0	0.00840708049291515	-0.00840708049291515
102	0	0.019302128684081	-0.019302128684081
103	0	0.019302128684081	-0.019302128684081
104	0	0.019302128684081	-0.019302128684081
105	0	-0.00920143848320001	0.00920143848320001
106	0	0.019302128684081	-0.019302128684081
107	0	0.019302128684081	-0.019302128684081
108	0	0.0104804528947413	-0.0104804528947413
109	0	0.019302128684081	-0.019302128684081
110	0	0.0389840200620223	-0.0389840200620223
111	0	0.0387066612889782	-0.0387066612889782
112	0	-0.00109835539834695	0.00109835539834695
113	0	0.260188314863533	-0.260188314863533
114	0	0.0104804528947413	-0.0104804528947413
115	0	0.0389840200620223	-0.0389840200620223
116	0	0.019302128684081	-0.019302128684081
117	0	0.00840708049291515	-0.00840708049291515
118	0	0.0389840200620223	-0.0389840200620223
119	0	0.019302128684081	-0.019302128684081
120	0	-0.0112748108850262	0.0112748108850262
121	0	0.0389840200620223	-0.0389840200620223
122	0	0.019302128684081	-0.019302128684081
123	0	0.0104804528947413	-0.0104804528947413
124	0	0.257837583688663	-0.257837583688663
125	0	-0.0112748108850262	0.0112748108850262
126	0	-0.00109835539834695	0.00109835539834695
127	0	0.0475283370783178	-0.0475283370783178
128	0	-0.0112748108850262	0.0112748108850262
129	0	0.019302128684081	-0.019302128684081
130	0	-0.0112748108850262	0.0112748108850262
131	0	0.0389840200620223	-0.0389840200620223
132	0	0.00840708049291515	-0.00840708049291515
133	0	0.279870206241474	-0.279870206241474
134	0	0.019302128684081	-0.019302128684081
135	0	0.019302128684081	-0.019302128684081
136	0	0.019302128684081	-0.019302128684081
137	0	0.277519475066604	-0.277519475066604
138	0	0.00812972171987101	-0.00812972171987101
139	0	-0.00109835539834695	0.00109835539834695
140	0	0.019302128684081	-0.019302128684081
141	1	0.229611375294426	0.770388624705574
142	0	-0.0397783780523072	0.0397783780523072
143	0	0.0389840200620223	-0.0389840200620223
144	0	0.0169513975092107	-0.0169513975092107
145	0	0.0475283370783178	-0.0475283370783178
146	0	-0.0316752949674542	0.0316752949674542
147	0	-0.00920143848320001	0.00920143848320001
148	0	-0.00109835539834695	0.00109835539834695
149	0	0.0389840200620223	-0.0389840200620223
150	0	0.0169513975092107	-0.0169513975092107
151	0	-0.0112748108850262	0.0112748108850262
152	1	0.279870206241474	0.720129793758526
153	1	0.308096414635711	0.691903585364289
154	0	0.279870206241474	-0.279870206241474

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0	0	1
14	0	0	1
15	0	0	1
16	0	0	1
17	0.469898219413187	0.939796438826375	0.530101780586813
18	0.373063346205858	0.746126692411716	0.626936653794142
19	0.310916098663861	0.621832197327721	0.689083901336139
20	0.686972120502743	0.626055758994513	0.313027879497257
21	0.604795955059073	0.790408089881855	0.395204044940927
22	0.534032554815467	0.931934890369067	0.465967445184533
23	0.463150069274379	0.926300138548758	0.536849930725621
24	0.380876308517168	0.761752617034335	0.619123691482832
25	0.629796313453266	0.740407373093467	0.370203686546734
26	0.575036385043759	0.849927229912481	0.424963614956241
27	0.508505917026346	0.982988165947309	0.491494082973655
28	0.456960785133865	0.91392157026773	0.543039214866135
29	0.402794452097952	0.805588904195904	0.597205547902048
30	0.346743049126384	0.693486098252769	0.653256950873616
31	0.284366739080595	0.56873347816119	0.715633260919405
32	0.23176595158866	0.463531903177321	0.76823404841134
33	0.198668980198774	0.397337960397548	0.801331019801226
34	0.16175955423802	0.32351910847604	0.83824044576198
35	0.12443232678954	0.248864653579079	0.87556767321046
36	0.093891166224093	0.187782332448186	0.906108833775907
37	0.323341493215434	0.646682986430868	0.676658506784566
38	0.286679512337888	0.573359024675776	0.713320487662112
39	0.237159975995425	0.474319951990851	0.762840024004575
40	0.195241771837717	0.390483543675433	0.804758228162283
41	0.876506050728402	0.246987898543196	0.123493949271598
42	0.857299621328862	0.285400757342277	0.142700378671138
43	0.824811608604353	0.350376782791294	0.175188391395647
44	0.786804479910993	0.426391040178013	0.213195520089007
45	0.746286060670861	0.507427878658279	0.253713939329139
46	0.702638429946831	0.594723140106338	0.297361570053169
47	0.654203958232978	0.691592083534045	0.345796041767022
48	0.603831737839893	0.792336524320215	0.396168262160107
49	0.553267945492586	0.893464109014829	0.446732054507414
50	0.500239969652206	0.999520060695587	0.499760030347794
51	0.693416609632111	0.613166780735778	0.306583390367889
52	0.835456149186871	0.329087701626258	0.164543850813129
53	0.803117451098692	0.393765097802616	0.196882548901308
54	0.989806679483693	0.0203866410326147	0.0101933205163073
55	0.985850792836468	0.0282984143270637	0.0141492071635318
56	0.999094961669087	0.00181007666182559	0.000905038330912793
57	0.999041427016412	0.00191714596717673	0.000958572983588364
58	0.998594512571089	0.0028109748578211	0.00140548742891055
59	0.997965684852775	0.0040686302944493	0.00203431514722465
60	0.999051462514739	0.00189707497052224	0.00094853748526112
61	0.998566467312372	0.00286706537525576	0.00143353268762788
62	0.99865297452339	0.00269405095322043	0.00134702547661022
63	0.998002078030698	0.00399584393860342	0.00199792196930171
64	0.997063602127704	0.00587279574459243	0.00293639787229622
65	0.995768626026451	0.00846274794709704	0.00423137397354852
66	0.993989584922595	0.0120208301548101	0.00601041507740504
67	0.996110273697208	0.00777945260558324	0.00388972630279162
68	0.994488566834863	0.0110228663302734	0.00551143316513672
69	0.992446754517799	0.0151064909644024	0.00755324548220118
70	0.992869805478098	0.0142603890438035	0.00713019452190174
71	0.990058227374444	0.019883545251112	0.00994177262555601
72	0.986646531074782	0.0267069378504368	0.0133534689252184
73	0.986965503803502	0.026068992392996	0.013034496196498
74	0.98976397996763	0.0204720400647391	0.0102360200323695
75	0.986035568013491	0.0279288639730176	0.0139644319865088
76	0.981173846220559	0.0376523075588819	0.018826153779441
77	0.974970992099112	0.0500580158017765	0.0250290079008882
78	0.98109861754795	0.0378027649041008	0.0189013824520504
79	0.987637782782158	0.0247244344356841	0.012362217217842
80	0.983143602015329	0.0337127959693429	0.0168563979846715
81	0.977546835710474	0.0449063285790522	0.0224531642895261
82	0.989334265953384	0.0213314680932324	0.0106657340466162
83	0.987370827001038	0.0252583459979237	0.0126291729989618
84	0.999146821910306	0.00170635617938715	0.000853178089693574
85	0.9986974498925	0.00260510021500001	0.00130255010750001
86	0.998035205520953	0.00392958895809358	0.00196479447904679
87	0.997076126651766	0.00584774669646821	0.0029238733482341
88	0.995709524129203	0.00858095174159398	0.00429047587079699
89	0.99379985115752	0.0124002976849596	0.0062001488424798
90	0.9911638192264	0.0176723615471994	0.00883618077359969
91	0.987668501621882	0.0246629967562369	0.0123314983781184
92	0.982889145073782	0.034221709852436	0.017110854926218
93	0.976707461473704	0.0465850770525914	0.0232925385262957
94	0.968551686914369	0.0628966261712629	0.0314483130856315
95	0.958128380527366	0.0837432389452671	0.0418716194726335
96	0.945156886778017	0.109686226443967	0.0548431132219835
97	0.92898279649356	0.14203440701288	0.0710172035064398
98	0.909259649630848	0.181480700738303	0.0907403503691517
99	0.885693130612776	0.228613738774447	0.114306869387224
100	0.858101443462431	0.283797113075138	0.141898556537569
101	0.826021891521039	0.347956216957923	0.173978108478961
102	0.789373386654229	0.421253226691542	0.210626613345771
103	0.748345829490148	0.503308341019704	0.251654170509852
104	0.703213689047883	0.593572621904235	0.296786310952117
105	0.654536940226075	0.690926119547851	0.345463059773925
106	0.602773991625682	0.794452016748636	0.397226008374318
107	0.548828095713318	0.902343808573364	0.451171904286682
108	0.49382568092712	0.98765136185424	0.50617431907288
109	0.438427839325794	0.876855678651588	0.561572160674206
110	0.384033200890632	0.768066401781264	0.615966799109368
111	0.331955736031583	0.663911472063165	0.668044263968417
112	0.282046634319384	0.564093268638767	0.717953365680616
113	0.366193299732017	0.732386599464033	0.633806700267983
114	0.312946121585109	0.625892243170219	0.687053878414891
115	0.26291545815538	0.525830916310761	0.73708454184462
116	0.217457247780482	0.434914495560965	0.782542752219518
117	0.176995292042215	0.35399058408443	0.823004707957785
118	0.14061361737312	0.28122723474624	0.85938638262688
119	0.109772752403319	0.219545504806637	0.890227247596681
120	0.0836992544379143	0.167398508875829	0.916300745562086
121	0.0622790612920723	0.124558122584145	0.937720938707928
122	0.0454512855270732	0.0909025710541465	0.954548714472927
123	0.0321954900723801	0.0643909801447602	0.96780450992762
124	0.0678853089888155	0.135770617977631	0.932114691011184
125	0.0488580783263443	0.0977161566526886	0.951141921673656
126	0.0340460529304545	0.0680921058609091	0.965953947069546
127	0.0232440942096673	0.0464881884193347	0.976755905790333
128	0.0152706315286971	0.0305412630573941	0.984729368471303
129	0.00973932262811876	0.0194786452562375	0.990260677371881
130	0.00596535704525481	0.0119307140905096	0.994034642954745
131	0.00366285724742216	0.00732571449484432	0.996337142752578
132	0.00237930008034201	0.00475860016068402	0.997620699919658
133	0.00943889421322382	0.0188777884264476	0.990561105786776
134	0.00547355944216248	0.010947118884325	0.994526440557838
135	0.00303592752363937	0.00607185504727874	0.996964072476361
136	0.00161522672344277	0.00323045344688555	0.998384773276557
137	0.021907805043055	0.04381561008611	0.978092194956945
138	0.0115926819927614	0.0231853639855229	0.988407318007239
139	0.00555653521353273	0.0111130704270655	0.994443464786467
140	0.00237799481328927	0.00475598962657854	0.997622005186711
141	0.00646205915564551	0.012924118311291	0.993537940844355

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	25	0.193798449612403	NOK
5% type I error level	58	0.449612403100775	NOK
10% type I error level	65	0.503875968992248	NOK