Multiple Linear Regression - Estimated Regression Equation

Y[t] = + 628.524752475248 + 145.199385455787X1[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)	628.524752475248	14.217859	44.2067	0	0
X1	145.199385455787	30.102799	4.8235	4e-06	2e-06

Multiple Linear Regression - Regression Statistics
Multiple R	0.392182037649388
R-squared	0.153806750654826
Adjusted R-squared	0.147195865894317
F-TEST (value)	23.2656832219505
F-TEST (DF numerator)	1
F-TEST (DF denominator)	128
p-value	3.93801559650520e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	142.887712175676
Sum Squared Residuals	2613362.98122226

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	621	628.524752475246	-7.52475247524569
2	587	628.524752475247	-41.5247524752474
3	655	628.524752475248	26.4752475247525
4	517	628.524752475248	-111.524752475248
5	646	628.524752475248	17.4752475247525
6	657	628.524752475248	28.4752475247525
7	382	628.524752475248	-246.524752475248
8	345	628.524752475248	-283.524752475248
9	625	628.524752475248	-3.52475247524755
10	654	628.524752475248	25.4752475247525
11	606	628.524752475248	-22.5247524752475
12	510	628.524752475248	-118.524752475248
13	614	628.524752475248	-14.5247524752475
14	647	628.524752475248	18.4752475247525
15	580	628.524752475248	-48.5247524752476
16	614	628.524752475248	-14.5247524752475
17	636	628.524752475248	7.47524752475245
18	388	628.524752475248	-240.524752475248
19	356	628.524752475248	-272.524752475248
20	639	628.524752475248	10.4752475247525
21	753	628.524752475248	124.475247524752
22	611	628.524752475248	-17.5247524752475
23	639	628.524752475248	10.4752475247525
24	630	628.524752475248	1.47524752475245
25	586	628.524752475248	-42.5247524752476
26	695	628.524752475248	66.4752475247525
27	552	628.524752475248	-76.5247524752475
28	619	628.524752475248	-9.52475247524755
29	681	628.524752475248	52.4752475247524
30	421	628.524752475248	-207.524752475248
31	307	628.524752475248	-321.524752475248
32	754	628.524752475248	125.475247524752
33	690	628.524752475248	61.4752475247524
34	644	628.524752475248	15.4752475247525
35	643	628.524752475248	14.4752475247525
36	608	628.524752475248	-20.5247524752475
37	651	628.524752475248	22.4752475247525
38	691	628.524752475248	62.4752475247525
39	627	628.524752475248	-1.52475247524755
40	634	628.524752475248	5.47524752475245
41	731	628.524752475248	102.475247524752
42	475	628.524752475248	-153.524752475248
43	337	628.524752475248	-291.524752475248
44	803	628.524752475248	174.475247524752
45	722	628.524752475248	93.4752475247525
46	590	628.524752475248	-38.5247524752476
47	724	628.524752475248	95.4752475247525
48	627	628.524752475248	-1.52475247524755
49	696	628.524752475248	67.4752475247525
50	825	628.524752475248	196.475247524752
51	677	628.524752475248	48.4752475247524
52	656	628.524752475248	27.4752475247525
53	785	628.524752475248	156.475247524752
54	412	628.524752475248	-216.524752475248
55	352	628.524752475248	-276.524752475248
56	839	628.524752475248	210.475247524752
57	729	628.524752475248	100.475247524752
58	696	628.524752475248	67.4752475247525
59	641	628.524752475248	12.4752475247525
60	695	628.524752475248	66.4752475247525
61	638	628.524752475248	9.47524752475245
62	762	628.524752475248	133.475247524752
63	635	628.524752475248	6.47524752475245
64	721	628.524752475248	92.4752475247525
65	854	628.524752475248	225.475247524752
66	418	628.524752475248	-210.524752475248
67	367	628.524752475248	-261.524752475248
68	824	628.524752475248	195.475247524752
69	687	628.524752475248	58.4752475247524
70	601	628.524752475248	-27.5247524752475
71	676	628.524752475248	47.4752475247524
72	740	628.524752475248	111.475247524752
73	691	628.524752475248	62.4752475247525
74	683	628.524752475248	54.4752475247524
75	594	628.524752475248	-34.5247524752476
76	729	628.524752475248	100.475247524752
77	731	628.524752475248	102.475247524752
78	386	628.524752475248	-242.524752475248
79	331	628.524752475248	-297.524752475248
80	706	628.524752475248	77.4752475247525
81	715	628.524752475248	86.4752475247525
82	657	628.524752475248	28.4752475247525
83	653	628.524752475248	24.4752475247525
84	642	628.524752475248	13.4752475247525
85	643	628.524752475248	14.4752475247525
86	718	628.524752475248	89.4752475247525
87	654	628.524752475248	25.4752475247525
88	632	628.524752475248	3.47524752475245
89	731	628.524752475248	102.475247524752
90	392	628.524752475248	-236.524752475248
91	344	628.524752475248	-284.524752475248
92	792	628.524752475248	163.475247524752
93	852	628.524752475248	223.475247524752
94	649	628.524752475248	20.4752475247525
95	629	628.524752475248	0.47524752475245
96	685	628.524752475248	56.4752475247524
97	617	628.524752475248	-11.5247524752475
98	715	628.524752475248	86.4752475247525
99	715	628.524752475248	86.4752475247525
100	629	628.524752475248	0.47524752475245
101	916	628.524752475248	287.475247524752
102	531	773.724137931034	-242.724137931034
103	357	773.724137931034	-416.724137931034
104	917	773.724137931034	143.275862068966
105	828	773.724137931035	54.2758620689655
106	708	773.724137931034	-65.7241379310345
107	858	773.724137931035	84.2758620689655
108	775	773.724137931035	1.27586206896552
109	785	773.724137931035	11.2758620689655
110	1006	773.724137931034	232.275862068966
111	789	773.724137931035	15.2758620689655
112	734	773.724137931035	-39.7241379310345
113	906	773.724137931034	132.275862068966
114	532	773.724137931034	-241.724137931034
115	387	773.724137931034	-386.724137931034
116	991	773.724137931034	217.275862068966
117	841	773.724137931035	67.2758620689655
118	892	773.724137931035	118.275862068966
119	782	773.724137931035	8.27586206896552
120	813	773.724137931035	39.2758620689655
121	793	773.724137931035	19.2758620689655
122	978	773.724137931034	204.275862068966
123	775	773.724137931035	1.27586206896552
124	797	773.724137931035	23.2758620689655
125	946	773.724137931034	172.275862068966
126	594	773.724137931034	-179.724137931034
127	438	773.724137931035	-335.724137931035
128	1022	773.724137931034	248.275862068966
129	868	773.724137931035	94.2758620689655
130	795	773.724137931035	21.2758620689655

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.101967259796059	0.203934519592119	0.89803274020394
6	0.0481904091862635	0.096380818372527	0.951809590813737
7	0.285090922642108	0.570181845284215	0.714909077357892
8	0.497218641072876	0.994437282145752	0.502781358927124
9	0.40476542933056	0.80953085866112	0.59523457066944
10	0.340355818911244	0.680711637822487	0.659644181088756
11	0.252599571758748	0.505199143517495	0.747400428241252
12	0.193556460409365	0.38711292081873	0.806443539590635
13	0.138503420339819	0.277006840679638	0.86149657966018
14	0.105325037307872	0.210650074615744	0.894674962692128
15	0.0687785688913393	0.137557137782679	0.93122143110866
16	0.0450701565299002	0.0901403130598005	0.9549298434701
17	0.0305470819674404	0.0610941639348807	0.96945291803256
18	0.0610832640737716	0.122166528147543	0.938916735926228
19	0.124589446757307	0.249178893514613	0.875410553242693
20	0.099434362567026	0.198868725134052	0.900565637432974
21	0.132943886492660	0.265887772985320	0.86705611350734
22	0.0994670696266012	0.198934139253202	0.900532930373399
23	0.0764557155862519	0.152911431172504	0.923544284413748
24	0.0566009894565718	0.113201978913144	0.943399010543428
25	0.0393761488839641	0.0787522977679282	0.960623851116036
26	0.0354626984796741	0.0709253969593483	0.964537301520326
27	0.0250633889469848	0.0501267778939697	0.974936611053015
28	0.0171389626894795	0.034277925378959	0.98286103731052
29	0.014008979825059	0.028017959650118	0.985991020174941
30	0.0202232243806782	0.0404464487613564	0.979776775619322
31	0.0755915344328923	0.151183068865785	0.924408465567108
32	0.090489619384448	0.180979238768896	0.909510380615552
33	0.0803228938609034	0.160645787721807	0.919677106139097
34	0.0631086030879065	0.126217206175813	0.936891396912093
35	0.0488056224822818	0.0976112449645636	0.951194377517718
36	0.0358769803956430	0.0717539607912859	0.964123019604357
37	0.0273799303503834	0.0547598607007668	0.972620069649617
38	0.0231344512556504	0.0462689025113008	0.97686554874435
39	0.0165890037982222	0.0331780075964445	0.983410996201778
40	0.0118157527766461	0.0236315055532921	0.988184247223354
41	0.0116836588925859	0.0233673177851718	0.988316341107414
42	0.0118539030901095	0.0237078061802189	0.98814609690989
43	0.0349241558644654	0.0698483117289309	0.965075844135535
44	0.0503693043470406	0.100738608694081	0.94963069565296
45	0.0468160933763461	0.0936321867526921	0.953183906623654
46	0.0354806948663376	0.0709613897326752	0.964519305133662
47	0.0327776244908352	0.0655552489816704	0.967222375509165
48	0.0243494488790097	0.0486988977580193	0.97565055112099
49	0.0201192155366323	0.0402384310732646	0.979880784463368
50	0.0313018759823402	0.0626037519646803	0.96869812401766
51	0.0245530571519995	0.0491061143039989	0.975446942848
52	0.0183928495970397	0.0367856991940794	0.98160715040296
53	0.0214084000914462	0.0428168001828923	0.978591599908554
54	0.0321955829671425	0.064391165934285	0.967804417032857
55	0.0693499281267011	0.138699856253402	0.930650071873299
56	0.0979863984677395	0.195972796935479	0.90201360153226
57	0.0890023676137902	0.178004735227580	0.91099763238621
58	0.0749155632877815	0.149831126575563	0.925084436712219
59	0.0588384391468559	0.117676878293712	0.941161560853144
60	0.0484879631698764	0.0969759263397528	0.951512036830124
61	0.0371499260657483	0.0742998521314967	0.962850073934252
62	0.0364788483401324	0.0729576966802647	0.963521151659868
63	0.0275029658082947	0.0550059316165894	0.972497034191705
64	0.023320835788123	0.046641671576246	0.976679164211877
65	0.0364808015909070	0.0729616031818141	0.963519198409093
66	0.0508261183796412	0.101652236759282	0.949173881620359
67	0.0927298056914554	0.185459611382911	0.907270194308545
68	0.110894992812626	0.221789985625252	0.889105007187374
69	0.0919561860646452	0.183912372129290	0.908043813935355
70	0.0738756411582807	0.147751282316561	0.92612435884172
71	0.0591895699246266	0.118379139849253	0.940810430075373
72	0.052883502987658	0.105767005975316	0.947116497012342
73	0.0424351033637309	0.0848702067274618	0.95756489663627
74	0.0333123017866179	0.0666246035732358	0.966687698213382
75	0.0255284901015169	0.0510569802030338	0.974471509898483
76	0.0215869691760692	0.0431739383521383	0.97841303082393
77	0.0182861351781461	0.0365722703562923	0.981713864821854
78	0.0327167757014804	0.0654335514029607	0.96728322429852
79	0.0829135739718866	0.165827147943773	0.917086426028113
80	0.0684641705537883	0.136928341107577	0.931535829446212
81	0.0568225643628162	0.113645128725632	0.943177435637184
82	0.0438599401464551	0.0877198802929101	0.956140059853545
83	0.0333234273467227	0.0666468546934455	0.966676572653277
84	0.0249195869389600	0.0498391738779199	0.97508041306104
85	0.0183595459820243	0.0367190919640486	0.981640454017976
86	0.0144536324889842	0.0289072649779684	0.985546367511016
87	0.0103574020199093	0.0207148040398186	0.98964259798009
88	0.00731777775852073	0.0146355555170415	0.99268222224148
89	0.00575293002711743	0.0115058600542349	0.994247069972883
90	0.0121248860851501	0.0242497721703002	0.98787511391485
91	0.0418728150570935	0.083745630114187	0.958127184942906
92	0.0383532100349159	0.0767064200698317	0.961646789965084
93	0.0449372049591846	0.0898744099183693	0.955062795040815
94	0.0341207668393071	0.0682415336786142	0.965879233160693
95	0.026258800886467	0.052517601772934	0.973741199113533
96	0.0194050765201820	0.0388101530403641	0.980594923479818
97	0.0155101814116762	0.0310203628233524	0.984489818588324
98	0.0114448048370667	0.0228896096741333	0.988555195162933
99	0.00840066000170275	0.0168013200034055	0.991599339998297
100	0.00884720297452181	0.0176944059490436	0.991152797025478
101	0.00975062871119724	0.0195012574223945	0.990249371288803
102	0.0127874601430448	0.0255749202860896	0.987212539856955
103	0.0701954259288513	0.140390851857703	0.929804574071149
104	0.101520109710646	0.203040219421293	0.898479890289353
105	0.0874667892575287	0.174933578515057	0.912533210742471
106	0.0702053230403538	0.140410646080708	0.929794676959646
107	0.0589142952679325	0.117828590535865	0.941085704732068
108	0.0429103424695152	0.0858206849390305	0.957089657530485
109	0.0303712804017107	0.0607425608034214	0.96962871959829
110	0.0462834041467522	0.0925668082935044	0.953716595853248
111	0.0319480517602288	0.0638961035204576	0.968051948239771
112	0.0219848400703313	0.0439696801406626	0.978015159929669
113	0.0187491886843999	0.0374983773687998	0.9812508113156
114	0.0336780987736985	0.067356197547397	0.966321901226302
115	0.249661765337511	0.499323530675023	0.750338234662489
116	0.287547499153111	0.575094998306223	0.712452500846888
117	0.223954366465432	0.447908732930863	0.776045633534568
118	0.184600311178405	0.36920062235681	0.815399688821595
119	0.129977718902003	0.259955437804006	0.870022281097997
120	0.0864303368962711	0.172860673792542	0.913569663103729
121	0.0534545073456529	0.106909014691306	0.946545492654347
122	0.0606872603070071	0.121374520614014	0.939312739692993
123	0.0333489217738492	0.0666978435476984	0.96665107822615
124	0.0163510985933275	0.032702197186655	0.983648901406672
125	0.0151742483555465	0.030348496711093	0.984825751644454

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	34	0.28099173553719	NOK
10% type I error level	71	0.586776859504132	NOK