Multiple Linear Regression - Estimated Regression Equation

weight[t] = -0.0277869837865939 -0.0549338791955031PR4[t] -0.0722130162134062T[t] + 0.238267212528836PR_T[t] + 0.377142021639536Used[t] + 0.033969089471575T_Used[t] -0.00353535353535342PR_T_Used[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)	-0.0277869837865939	0.033203	-0.8369	0.404011	0.202005
PR4	-0.0549338791955031	0.043673	-1.2578	0.210445	0.105222
T	-0.0722130162134062	0.087739	-0.823	0.411819	0.205909
PR_T	0.238267212528836	0.11358	2.0978	0.037634	0.018817
Used	0.377142021639536	0.052481	7.1862	0	0
T_Used	0.033969089471575	0.123341	0.2754	0.78339	0.391695
PR_T_Used	-0.00353535353535342	0.147149	-0.024	0.980865	0.490432

Multiple Linear Regression - Regression Statistics
Multiple R	0.649801557546475
R-squared	0.422242064189825
Adjusted R-squared	0.398660107626144
F-TEST (value)	17.9053024311025
F-TEST (DF numerator)	6
F-TEST (DF denominator)	147
p-value	1.55431223447522e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.229709412787322
Sum Squared Residuals	7.75666290549515

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0.2	0.0833333333333335	0.116666666666667
2	-0.2	-0.0827208629820971	-0.117279137017903
3	-0.2	-0.0827208629820971	-0.117279137017903
4	-0.2	-0.082720862982097	-0.117279137017903
5	-0.2	-0.0827208629820975	-0.117279137017903
6	0.4	-0.0827208629820969	0.482720862982097
7	-0.2	-0.082720862982097	-0.117279137017903
8	-0.2	0.0833333333333334	-0.283333333333333
9	-0.2	-0.082720862982097	-0.117279137017903
10	0.2	-0.082720862982097	0.282720862982097
11	0.2	0.0833333333333333	0.116666666666667
12	-0.2	-0.082720862982097	-0.117279137017903
13	0.2	0.294421158657439	-0.094421158657439
14	0.2	0.0833333333333333	0.116666666666667
15	0.2	0.294421158657439	-0.094421158657439
16	0.2	0.490909090909091	-0.290909090909091
17	1	0.490909090909091	0.509090909090909
18	0.2	0.0833333333333333	0.116666666666667
19	-0.2	-0.082720862982097	-0.117279137017903
20	0.6	0.490909090909091	0.109090909090909
21	0.4	-0.0827208629820969	0.482720862982097
22	0.6	0.294421158657439	0.305578841342561
23	0	-0.082720862982097	0.082720862982097
24	0.4	-0.0827208629820969	0.482720862982097
25	0	0.490909090909091	-0.490909090909091
26	0.2	0.294421158657439	-0.094421158657439
27	0.2	-0.082720862982097	0.282720862982097
28	0	0.294421158657439	-0.294421158657439
29	-0.2	-0.082720862982097	-0.117279137017903
30	0	-0.082720862982097	0.082720862982097
31	-0.2	-0.082720862982097	-0.117279137017903
32	0.2	-0.082720862982097	0.282720862982097
33	0.4	-0.0827208629820969	0.482720862982097
34	-0.2	0.0833333333333334	-0.283333333333333
35	-0.2	-0.082720862982097	-0.117279137017903
36	-0.2	-0.082720862982097	-0.117279137017903
37	0.6	0.490909090909091	0.109090909090909
38	0	0.294421158657439	-0.294421158657439
39	0	-0.082720862982097	0.082720862982097
40	0	0.0833333333333332	-0.0833333333333332
41	0.6	0.294421158657439	0.305578841342561
42	0	0.294421158657439	-0.294421158657439
43	0.4	-0.0827208629820969	0.482720862982097
44	0.2	0.0833333333333333	0.116666666666667
45	0	-0.082720862982097	0.082720862982097
46	0	-0.082720862982097	0.082720862982097
47	-0.2	-0.082720862982097	-0.117279137017903
48	-0.2	-0.082720862982097	-0.117279137017903
49	0	-0.082720862982097	0.082720862982097
50	-0.2	-0.082720862982097	-0.117279137017903
51	0	0.490909090909091	-0.490909090909091
52	1	0.490909090909091	0.509090909090909
53	-0.2	-0.082720862982097	-0.117279137017903
54	0.4	0.294421158657439	0.105578841342561
55	-0.2	-0.082720862982097	-0.117279137017903
56	0	0.490909090909091	-0.490909090909091
57	0.2	0.294421158657439	-0.094421158657439
58	-0.2	-0.082720862982097	-0.117279137017903
59	-0.2	-0.082720862982097	-0.117279137017903
60	1	0.490909090909091	0.509090909090909
61	0.2	0.0833333333333333	0.116666666666667
62	0.2	0.294421158657439	-0.094421158657439
63	-0.2	-0.082720862982097	-0.117279137017903
64	0.2	0.0833333333333333	0.116666666666667
65	-0.2	-0.082720862982097	-0.117279137017903
66	-0.2	-0.082720862982097	-0.117279137017903
67	0.6	0.490909090909091	0.109090909090909
68	0.2	-0.082720862982097	0.282720862982097
69	-0.2	-0.082720862982097	-0.117279137017903
70	0	0.294421158657439	-0.294421158657439
71	-0.2	-0.082720862982097	-0.117279137017903
72	-0.2	-0.082720862982097	-0.117279137017903
73	0	0.294421158657439	-0.294421158657439
74	0.4	0.294421158657439	0.105578841342561
75	-0.2	-0.082720862982097	-0.117279137017903
76	0	0.0833333333333332	-0.0833333333333332
77	-0.2	-0.082720862982097	-0.117279137017903
78	0.2	0.294421158657439	-0.094421158657439
79	0.4	0.490909090909091	-0.0909090909090909
80	0	0.0833333333333332	-0.0833333333333332
81	-0.2	-0.082720862982097	-0.117279137017903
82	0.4	0.294421158657439	0.105578841342561
83	-0.2	-0.082720862982097	-0.117279137017903
84	0.4	0.294421158657439	0.105578841342561
85	0	-0.082720862982097	0.082720862982097
86	0.2	-0.082720862982097	0.282720862982097
87	0.2	-0.0277869837865939	0.227786983786594
88	0.4	0.311111111111111	0.0888888888888889
89	-0.2	-0.0277869837865939	-0.172213016213406
90	-0.2	-0.0277869837865939	-0.172213016213406
91	0	-0.0277869837865939	0.0277869837865939
92	0.2	-0.1	0.3
93	0.4	-0.0277869837865938	0.427786983786594
94	-0.2	-0.0277869837865939	-0.172213016213406
95	-0.2	-0.1	-0.1
96	-0.2	-0.0277869837865939	-0.172213016213406
97	0.2	-0.1	0.3
98	-0.2	-0.0277869837865939	-0.172213016213406
99	0.2	-0.0277869837865939	0.227786983786594
100	-0.2	-0.0277869837865939	-0.172213016213406
101	0.2	-0.0277869837865939	0.227786983786594
102	-0.2	-0.0277869837865939	-0.172213016213406
103	-0.2	-0.0277869837865939	-0.172213016213406
104	-0.2	-0.0277869837865939	-0.172213016213406
105	0	0.311111111111111	-0.311111111111111
106	-0.2	-0.0277869837865939	-0.172213016213406
107	-0.2	-0.0277869837865939	-0.172213016213406
108	0.4	0.311111111111111	0.0888888888888889
109	-0.2	-0.0277869837865939	-0.172213016213406
110	0.2	-0.0277869837865939	0.227786983786594
111	0.6	0.311111111111111	0.288888888888889
112	-0.2	-0.1	-0.1
113	0	0.349355037852942	-0.349355037852942
114	0.4	0.311111111111111	0.0888888888888889
115	0.2	-0.0277869837865939	0.227786983786594
116	-0.2	-0.0277869837865939	-0.172213016213406
117	0.2	-0.0277869837865939	0.227786983786594
118	0.2	-0.0277869837865939	0.227786983786594
119	-0.2	-0.0277869837865939	-0.172213016213406
120	-0.2	-0.0277869837865939	-0.172213016213406
121	0.2	-0.0277869837865939	0.227786983786594
122	-0.2	-0.0277869837865939	-0.172213016213406
123	0.4	0.311111111111111	0.0888888888888889
124	0.2	0.349355037852942	-0.149355037852942
125	-0.2	-0.0277869837865939	-0.172213016213406
126	-0.2	-0.1	-0.1
127	0	-0.0277869837865939	0.0277869837865939
128	-0.2	-0.0277869837865939	-0.172213016213406
129	-0.2	-0.0277869837865939	-0.172213016213406
130	-0.2	-0.0277869837865939	-0.172213016213406
131	0.2	-0.0277869837865939	0.227786983786594
132	0.2	-0.0277869837865939	0.227786983786594
133	0.4	0.349355037852942	0.0506449621470578
134	-0.2	-0.0277869837865939	-0.172213016213406
135	-0.2	-0.0277869837865939	-0.172213016213406
136	-0.2	-0.0277869837865939	-0.172213016213406
137	0.6	0.349355037852942	0.250644962147058
138	0.6	0.311111111111111	0.288888888888889
139	-0.2	-0.1	-0.1
140	-0.2	-0.0277869837865939	-0.172213016213406
141	0.4	0.349355037852942	0.0506449621470578
142	0	0.311111111111111	-0.311111111111111
143	0.2	-0.0277869837865939	0.227786983786594
144	0	-0.0277869837865939	0.0277869837865939
145	0	-0.0277869837865939	0.0277869837865939
146	-0.2	-0.1	-0.1
147	0	0.311111111111111	-0.311111111111111
148	-0.2	-0.1	-0.1
149	0.2	-0.0277869837865939	0.227786983786594
150	0	-0.0277869837865939	0.0277869837865939
151	-0.2	-0.0277869837865939	-0.172213016213406
152	0.8	0.349355037852942	0.450644962147058
153	1	0.349355037852942	0.650644962147058
154	0.4	0.349355037852942	0.0506449621470578

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.966575212795694	0.0668495744086128	0.0334247872043064
11	0.942812974712469	0.114374050575062	0.0571870252875312
12	0.905484493818227	0.189031012363546	0.0945155061817731
13	0.845984057306194	0.308031885387612	0.154015942693806
14	0.786465849349307	0.427068301301385	0.213534150650693
15	0.702657406904174	0.594685186191653	0.297342593095826
16	0.619879779856494	0.760240440287013	0.380120220143506
17	0.889337191572953	0.221325616854093	0.110662808427047
18	0.849306376648941	0.301387246702118	0.150693623351059
19	0.804743201710713	0.390513596578573	0.195256798289287
20	0.745174988581405	0.50965002283719	0.254825011418595
21	0.879881296693443	0.240237406613115	0.120118703306557
22	0.901207885942818	0.197584228114364	0.0987921140571821
23	0.867513962285221	0.264972075429558	0.132486037714779
24	0.931033168688053	0.137933662623893	0.0689668313119467
25	0.976641019714282	0.046717960571436	0.023358980285718
26	0.96798111042722	0.0640377791455601	0.0320188895727801
27	0.965981852800832	0.0680362943983363	0.0340181471991681
28	0.967765453733571	0.0644690925328582	0.0322345462664291
29	0.961236984291824	0.0775260314163518	0.0387630157081759
30	0.947040506687873	0.105918986624255	0.0529594933121274
31	0.936850836584702	0.126298326830597	0.0631491634152983
32	0.936181591615553	0.127636816768894	0.063818408384447
33	0.96686911373999	0.0662617725200198	0.0331308862600099
34	0.970469872805422	0.0590602543891554	0.0295301271945777
35	0.965346636681409	0.0693067266371813	0.0346533633185906
36	0.959009703334123	0.0819805933317547	0.0409902966658773
37	0.948757393887578	0.102485212224844	0.051242606112422
38	0.94888664223281	0.102226715534381	0.0511133577671903
39	0.934119287221	0.131761425558	0.0658807127790001
40	0.916787083183023	0.166425833633953	0.0832129168169767
41	0.937278399841468	0.125443200317064	0.0627216001585321
42	0.939850486759865	0.12029902648027	0.0601495132401352
43	0.97087943443983	0.0582411311203392	0.0291205655601696
44	0.963600604979398	0.0727987900412034	0.0363993950206017
45	0.95376159563904	0.0924768087219192	0.0462384043609596
46	0.942181213654991	0.115637572690019	0.0578187863450095
47	0.933816123118671	0.132367753762658	0.066183876881329
48	0.923927833895715	0.152144332208571	0.0760721661042853
49	0.907633657575965	0.184732684848069	0.0923663424240346
50	0.894393302692251	0.211213394615497	0.105606697307749
51	0.951409319270515	0.0971813614589693	0.0485906807294847
52	0.983179523445663	0.0336409531086747	0.0168204765543374
53	0.979401546289323	0.0411969074213544	0.0205984537106772
54	0.975121853329489	0.0497562933410229	0.0248781466705115
55	0.969730062990413	0.0605398740191735	0.0302699370095868
56	0.990502087806051	0.0189958243878983	0.00949791219394916
57	0.987239763433495	0.0255204731330093	0.0127602365665047
58	0.984053855938308	0.0318922881233844	0.0159461440616922
59	0.980123438094546	0.039753123810907	0.0198765619054535
60	0.992727100005017	0.0145457999899663	0.00727289999498313
61	0.990657292254859	0.018685415490282	0.009342707745141
62	0.987567996486219	0.0248640070275616	0.0124320035137808
63	0.984288543402211	0.0314229131955773	0.0157114565977886
64	0.980926041436473	0.038147917127054	0.019073958563527
65	0.976168534244945	0.0476629315101096	0.0238314657550548
66	0.97038437181566	0.0592312563686795	0.0296156281843397
67	0.964127979394571	0.0717440412108589	0.0358720206054294
68	0.971205442942032	0.0575891141159367	0.0287945570579684
69	0.964323368131323	0.0713532637373545	0.0356766318686772
70	0.968313843062621	0.0633723138747578	0.0316861569373789
71	0.960895883562336	0.0782082328753289	0.0391041164376645
72	0.952060288014935	0.0958794239701298	0.0479397119850649
73	0.96027881374915	0.0794423725016996	0.0397211862508498
74	0.952519602312709	0.0949607953745814	0.0474803976872907
75	0.942687953956418	0.114624092087164	0.0573120460435818
76	0.928673483447548	0.142653033104905	0.0713265165524523
77	0.915538662976259	0.168922674047482	0.0844613370237409
78	0.906459085373553	0.187081829252893	0.0935409146264467
79	0.886329249962485	0.227341500075031	0.113670750037515
80	0.862952067161025	0.274095865677949	0.137047932838975
81	0.845551467263133	0.308897065473735	0.154448532736867
82	0.824969346503462	0.350061306993077	0.175030653496538
83	0.811554221541329	0.376891556917342	0.188445778458671
84	0.79711472870375	0.405770542592499	0.20288527129625
85	0.770841087284962	0.458317825430076	0.229158912715038
86	0.752723517074438	0.494552965851124	0.247276482925562
87	0.742514734879021	0.514970530241959	0.25748526512098
88	0.705914246340192	0.588171507319616	0.294085753659808
89	0.698331319712525	0.60333736057495	0.301668680287475
90	0.674144829433321	0.651710341133359	0.325855170566679
91	0.631165925233221	0.737668149533558	0.368834074766779
92	0.64070885503752	0.718582289924959	0.35929114496248
93	0.755351034198394	0.489297931603212	0.244648965801606
94	0.737794153285761	0.524411693428478	0.262205846714239
95	0.719786528651438	0.560426942697123	0.280213471348562
96	0.697098031743528	0.605803936512945	0.302901968256472
97	0.734746204158766	0.530507591682469	0.265253795841234
98	0.710950646771772	0.578098706456455	0.289049353228228
99	0.719492309369731	0.561015381260538	0.280507690630269
100	0.694954645250393	0.610090709499215	0.305045354749608
101	0.704143649258106	0.591712701483789	0.295856350741894
102	0.678513564979453	0.642972870041094	0.321486435020547
103	0.651336374772132	0.697327250455735	0.348663625227868
104	0.623076308896184	0.753847382207632	0.376923691103816
105	0.664923664090615	0.67015267181877	0.335076335909385
106	0.637124597090182	0.725750805819637	0.362875402909818
107	0.608989754458426	0.782020491083149	0.391010245541574
108	0.566593921345715	0.866812157308571	0.433406078654285
109	0.537616718380205	0.924766563239589	0.462383281619795
110	0.54563189799831	0.90873620400338	0.45436810200169
111	0.57889623551352	0.84220752897296	0.42110376448648
112	0.53750575213475	0.924988495730499	0.46249424786525
113	0.70073873242174	0.59852253515652	0.29926126757826
114	0.664610784126786	0.670778431746428	0.335389215873214
115	0.677867339891511	0.644265320216979	0.322132660108489
116	0.648203036953892	0.703593926092217	0.351796963046108
117	0.662683264047233	0.674633471905535	0.337316735952767
118	0.681377390957598	0.637245218084805	0.318622609042402
119	0.647420724700883	0.705158550598235	0.352579275299118
120	0.61315013135205	0.773699737295899	0.38684986864795
121	0.632575712957148	0.734848574085705	0.367424287042852
122	0.59519504731791	0.809609905364179	0.40480495268209
123	0.563703190718924	0.872593618562153	0.436296809281076
124	0.64772656020474	0.704546879590519	0.35227343979526
125	0.611739154105948	0.776521691788104	0.388260845894052
126	0.551511580121059	0.896976839757881	0.448488419878941
127	0.486694134619999	0.973388269239999	0.513305865380001
128	0.447496995801268	0.894993991602536	0.552503004198732
129	0.4115847400616	0.8231694801232	0.5884152599384
130	0.380213118349919	0.760426236699838	0.619786881650081
131	0.381036625217136	0.762073250434272	0.618963374782864
132	0.393370194131135	0.78674038826227	0.606629805868865
133	0.382931191660323	0.765862383320647	0.617068808339677
134	0.337394723452351	0.674789446904702	0.662605276547649
135	0.298557545846519	0.597115091693038	0.701442454153481
136	0.268846166237718	0.537692332475437	0.731153833762282
137	0.215629552265822	0.431259104531644	0.784370447734178
138	0.479071429049547	0.958142858099094	0.520928570950453
139	0.380500198010278	0.761000396020556	0.619499801989722
140	0.363023397993653	0.726046795987307	0.636976602006347
141	0.418740192207645	0.83748038441529	0.581259807792355
142	0.312182264226934	0.624364528453868	0.687817735773066
143	0.261444172449133	0.522888344898267	0.738555827550867
144	0.152435291663575	0.30487058332715	0.847564708336425

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	14	0.103703703703704	NOK
10% type I error level	37	0.274074074074074	NOK