Multiple Linear Regression - Estimated Regression Equation

D[t] = -0.434016427826643 + 0.244237988900703A[t] + 0.821117675389936B[t] + 0.000133857509532733C[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)	-0.434016427826643	3.289025	-0.132	0.895198	0.447599
A	0.244237988900703	0.035967	6.7907	0	0
B	0.821117675389936	0.160098	5.1288	1e-06	0
C	0.000133857509532733	3.5e-05	3.8325	0.000188	9.4e-05

Multiple Linear Regression - Regression Statistics
Multiple R	0.763264080768363
R-squared	0.582572056991174
Adjusted R-squared	0.573994770490992
F-TEST (value)	67.9203215351213
F-TEST (DF numerator)	3
F-TEST (DF denominator)	146
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	11.5246010031384
Sum Squared Residuals	19391.1985291048

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	47.38555556	44.9408788026538	2.44467675734615
2	24.06138889	35.0156955548594	-10.9543066648594
3	31.4825	36.7447781915725	-5.26227819157252
4	42.36388889	49.0901235899387	-6.72623469993871
5	23.94611111	23.6382443919184	0.307866718081648
6	10.34916667	24.1264647115077	-13.7772980415077
7	85.01527778	47.4984390930467	37.5168386869533
8	9.097222222	21.3067977715165	-12.2095755495165
9	32.36166667	34.8103066532472	-2.44863998324723
10	36.26083333	28.3851062864865	7.8757270435135
11	44.96555556	47.0750615734314	-2.1095060134314
12	35.63166667	56.4890425083127	-20.8573758383128
13	28.43055556	35.709176704951	-7.27862114495101
14	53.61777778	47.8081362099545	5.80964157004548
15	39.32611111	41.9568343569489	-2.63072324694889
16	70.43305556	67.3372861203857	3.09576943961428
17	50.30833333	43.7150143129974	6.59331901700264
18	55.12	52.4208622145917	2.69913778540832
19	31.62583333	34.9418586596014	-3.31602532960144
20	44.42777778	46.3635852551557	-1.93580747515573
21	46.33944444	44.4632069885641	1.87623745143587
22	79.63194444	42.0494385093101	37.5825059306899
23	25.46027778	21.4943368236529	3.96594095634715
24	30.07722222	41.4895640034208	-11.4123417834208
25	40.65055556	48.7293808055034	-8.07882524550338
26	40.31722222	48.8438137155915	-8.52659149559151
27	44.92777778	45.4154141671309	-0.487636387130909
28	44.69583333	42.7075697040857	1.98826362591433
29	29.69111111	28.7252897001981	0.965821409801886
30	52.26388889	40.7929254428523	11.4709634471477
31	52.61138889	50.0948412929006	2.51654759709941
32	35.96777778	45.4819430500956	-9.51416527009562
33	56.675	48.2422691310404	8.43273086895964
34	17.42527778	27.0456760801054	-9.62039830010544
35	67.67361111	46.8213605785586	20.8522505314414
36	46.45972222	34.0898840594165	12.3698381605835
37	73.48	52.4538594936143	21.0261405063857
38	33.89555556	33.8290786583682	0.066476901631823
39	22.49	16.0989977290758	6.39100227092415
40	58.27638889	54.1795095177049	4.09687937229512
41	62.27916667	40.8986817539376	21.3804849160624
42	32.21416667	35.4621172406694	-3.24795057066943
43	38.38638889	36.0731536260876	2.31323526391241
44	22.52944444	29.1780178379179	-6.64857339791789
45	25.86805556	35.5821642811215	-9.71410872112153
46	84.93222222	56.0070918235983	28.9251303964017
47	21.88888889	35.5946199210264	-13.7057310310265
48	44.12083333	45.8921469916178	-1.77131366161784
49	61.59583333	60.3739558782094	1.22187745179061
50	36.41888889	41.3189334893194	-4.90004459931939
51	35.75944444	34.6614450458399	1.09799939416014
52	6.718888889	9.50861818906974	-2.78972930006974
53	71.57277778	87.3916534985442	-15.8188757185442
54	18.06361111	22.8553433333041	-4.79173222330414
55	27.24055556	29.4708512935704	-2.2302957335704
56	48.21861111	32.1094017337356	16.1092093762644
57	50.01166667	56.9151035601266	-6.90343689012664
58	54.79611111	60.7229559327428	-5.92684482274285
59	58.90555556	50.1413423242154	8.7642132357846
60	39.32833333	37.5694785050771	1.7588548249229
61	68.08527778	60.6294882747811	7.4557895052189
62	57.46638889	50.9324254289991	6.53396346100091
63	40.47111111	45.023886849748	-4.55277573974802
64	47.39861111	44.9429622864025	2.45564882359745
65	39.46222222	38.6651279488456	0.797094271154436
66	31.89444444	25.8751970847528	6.01924735524722
67	31.51694444	48.0904929563467	-16.5735485163467
68	40.35694444	55.1303524790311	-14.7734080390311
69	41.94416667	40.424165251688	1.520001418312
70	25.50333333	30.8127723171256	-5.30943898712562
71	33.00194444	35.6266422753288	-2.62469783532882
72	19.2975	25.8545899198031	-6.55708991980311
73	35.175	38.6610219630026	-3.4860219630026
74	40.53	37.1072643273872	3.42273567261284
75	27.33138889	34.1386107755307	-6.80722188553066
76	53.035	40.7717690648277	12.2632309351723
77	55.22138889	40.5106140572474	14.7107748327526
78	29.49805556	59.699009361007	-30.200953801007
79	24.81055556	32.4427122348643	-7.63215667486425
80	33.43388889	36.9536395033961	-3.51975061339613
81	27.44194444	26.5258438317939	0.916100608206074
82	76.37583333	50.7019607197373	25.6738726102628
83	36.88833333	35.7175897862082	1.17074354379179
84	37.56972222	43.0845008781305	-5.51477865813047
85	22.48694444	19.8201546025728	2.66678983742719
86	30.34361111	28.4001576945795	1.9434534154205
87	26.84277778	36.1373133554772	-9.29453557547721
88	62.83083333	56.1206670399884	6.71016629001156
89	47.57944444	43.205812598802	4.37363184119803
90	32.72638889	52.1517760867673	-19.4253871967673
91	37.10027778	35.5224670356253	1.57781074437467
92	42.27583333	42.2364977851678	0.03933554483218
93	31.11222222	32.068500702844	-0.956278482843972
94	47.11472222	38.1814126049835	8.93330961501647
95	52.07861111	41.9246040015569	10.1540071084431
96	36.25916667	33.9831391521748	2.27602751782516
97	39.53861111	39.8583090285925	-0.319697918592469
98	52.71222222	48.9700381178226	3.74218410217736
99	56.00083333	65.9958454432145	-9.99501211321454
100	68.565	51.2902543788598	17.2747456211402
101	43.31861111	52.7143503789356	-9.39573926893558
102	50.71694444	44.8025961102701	5.91434832972987
103	29.54194444	47.0431330813512	-17.5011886413512
104	12.02416667	24.442817291249	-12.418650621249
105	35.41472222	27.4911407099047	7.92358151009528
106	35.53611111	47.9335574065335	-12.3974462965335
107	41.39055556	34.2415854949218	7.14897006507822
108	52.12583333	44.8740140961938	7.25181923380618
109	20.58666667	46.4010724846467	-25.8144058146467
110	26.11277778	41.4081234933758	-15.2953457133758
111	49.0625	40.7912628778673	8.27123712213273
112	39.42583333	42.0455104619368	-2.61967713193677
113	6.371666667	2.98582670770456	3.38583995929544
114	34.97972222	39.0923428828702	-4.11262066287024
115	17.1825	18.0723503788428	-0.889850378842849
116	25.35833333	32.6159905947509	-7.25765726475091
117	70.86111111	41.545204050818	29.315907059182
118	5.848333333	3.5882395652351	2.2600937677649
119	46.97027778	33.5720753067172	13.3982024732828
120	8.726111111	12.6649793689703	-3.93886825797026
121	52.41694444	45.5500402149234	6.86690422507663
122	38.20666667	46.1699054956688	-7.96323882566884
123	21.435	38.8265979158949	-17.3915979158949
124	20.71305556	31.4817737970531	-10.7687182370531
125	10.615	15.6133485290474	-4.99834852904742
126	25.26694444	32.2746233988149	-7.00767895881488
127	53.95111111	47.113264518771	6.83784659122896
128	37.5725	45.7271542374868	-8.1546542374868
129	67.85333333	46.9547357291684	20.8985976008316
130	56.04111111	54.0876959185807	1.95341519141935
131	71.22277778	67.6240119469539	3.59876583304613
132	38.65111111	29.9938935139636	8.65721759603644
133	21.24166667	27.8373692425149	-6.59570257251495
134	52.63944444	76.0398614791176	-23.4004170391176
135	77.87055556	63.5425752156116	14.3279803443884
136	14.16638889	28.2173150909727	-14.0509262009727
137	70.35388889	56.7837530357506	13.5701358542494
138	28.6775	37.3005483007451	-8.62304830074515
139	46.68305556	37.0102292057753	9.67282635422469
140	35.76888889	38.300535320787	-2.53164643078697
141	21.04055556	33.3307706357297	-12.2902150757297
142	69.23111111	46.4427705527946	22.7883405572054
143	42.32388889	43.577454488787	-1.25356559878698
144	48.12777778	37.1810339960862	10.9467437839138
145	54.77694444	49.6131936627145	5.16375077728553
146	18.75194444	45.9358842744452	-27.1839398344452
147	38.72472222	44.5617008713448	-5.83697865134477
148	51.49055556	54.6588868471182	-3.16833128711821
149	0	-0.434016427826639	0.434016427826639
150	4.08	2.81458724109604	1.26541275890396

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.765320226481443	0.469359547037113	0.234679773518557
8	0.745182189640317	0.509635620719366	0.254817810359683
9	0.677170505178386	0.645658989643228	0.322829494821614
10	0.795767443014619	0.408465113970761	0.204232556985381
11	0.732814695956419	0.534370608087161	0.267185304043581
12	0.687101279637538	0.625797440724925	0.312898720362462
13	0.595496175494595	0.80900764901081	0.404503824505405
14	0.803575310499757	0.392849379000486	0.196424689500243
15	0.758332917877044	0.483334164245912	0.241667082122956
16	0.688117309903028	0.623765380193944	0.311882690096972
17	0.614018341952577	0.771963316094846	0.385981658047423
18	0.560058517391089	0.879882965217822	0.439941482608911
19	0.50979594172485	0.980408116550301	0.49020405827515
20	0.432621143036435	0.86524228607287	0.567378856963565
21	0.359668940086025	0.71933788017205	0.640331059913975
22	0.922352752949901	0.155294494100199	0.0776472470500994
23	0.902912333161255	0.194175333677489	0.0970876668387447
24	0.88642983839457	0.22714032321086	0.11357016160543
25	0.869657044329896	0.260685911340208	0.130342955670104
26	0.864560430866318	0.270879138267365	0.135439569133682
27	0.831883871094851	0.336232257810298	0.168116128905149
28	0.794678529219696	0.410642941560608	0.205321470780304
29	0.760025151883442	0.479949696233116	0.239974848116558
30	0.783283209247034	0.433433581505932	0.216716790752966
31	0.737074647806029	0.525850704387942	0.262925352193971
32	0.70289249455515	0.5942150108897	0.29710750544485
33	0.680349792520421	0.639300414959158	0.319650207479579
34	0.646991540358171	0.706016919283658	0.353008459641829
35	0.717948703014382	0.564102593971237	0.282051296985618
36	0.751429684020308	0.497140631959385	0.248570315979692
37	0.824113726339775	0.35177254732045	0.175886273660225
38	0.78606973223645	0.427860535527101	0.21393026776355
39	0.757569000410144	0.484861999179712	0.242430999589856
40	0.717510473398652	0.564979053202695	0.282489526601348
41	0.803973378394083	0.392053243211835	0.196026621605917
42	0.766455997184325	0.467088005631349	0.233544002815675
43	0.72470826749593	0.550583465008141	0.27529173250407
44	0.689306646275319	0.621386707449361	0.310693353724681
45	0.680423216402152	0.639153567195696	0.319576783597848
46	0.813035486566486	0.373929026867027	0.186964513433514
47	0.812124106196438	0.375751787607124	0.187875893803562
48	0.776764386792934	0.446471226414131	0.223235613207066
49	0.749912443073808	0.500175113852384	0.250087556926192
50	0.712432887891499	0.575134224217003	0.287567112108501
51	0.669821936014136	0.660356127971728	0.330178063985864
52	0.624452059519692	0.751095880960616	0.375547940480308
53	0.743311566719285	0.513376866561431	0.256688433280715
54	0.707225651797625	0.585548696404751	0.292774348202375
55	0.664076139939268	0.671847720121465	0.335923860060732
56	0.681824291867686	0.636351416264628	0.318175708132314
57	0.670535260067587	0.658929479864826	0.329464739932413
58	0.662973733742607	0.674052532514786	0.337026266257393
59	0.636579017486863	0.726841965026275	0.363420982513137
60	0.590673112898683	0.818653774202635	0.409326887101317
61	0.55621751952926	0.88756496094148	0.44378248047074
62	0.525256332628234	0.949487334743533	0.474743667371766
63	0.481714677216499	0.963429354432998	0.518285322783501
64	0.435387920117269	0.870775840234538	0.564612079882731
65	0.390121906450716	0.780243812901432	0.609878093549284
66	0.355728930153877	0.711457860307754	0.644271069846123
67	0.437357168369425	0.874714336738849	0.562642831630575
68	0.457051418902155	0.91410283780431	0.542948581097845
69	0.410676599454773	0.821353198909546	0.589323400545227
70	0.378944123957923	0.757888247915846	0.621055876042077
71	0.337126442674116	0.674252885348233	0.662873557325884
72	0.305083617623583	0.610167235247166	0.694916382376417
73	0.268691646672117	0.537383293344235	0.731308353327883
74	0.23291321247474	0.46582642494948	0.76708678752526
75	0.211636061079437	0.423272122158873	0.788363938920563
76	0.211123786113507	0.422247572227013	0.788876213886494
77	0.225748590331191	0.451497180662381	0.774251409668809
78	0.553922402612211	0.892155194775578	0.446077597387789
79	0.526525814276478	0.946948371447044	0.473474185723522
80	0.483072665874385	0.96614533174877	0.516927334125615
81	0.435877394901644	0.871754789803287	0.564122605098356
82	0.618280398656006	0.763439202687988	0.381719601343994
83	0.57252722829561	0.854945543408779	0.42747277170439
84	0.534870356327663	0.930259287344673	0.465129643672337
85	0.489302344436822	0.978604688873643	0.510697655563178
86	0.443114960240768	0.886229920481535	0.556885039759232
87	0.424650140052699	0.849300280105399	0.575349859947301
88	0.395677506520274	0.791355013040548	0.604322493479726
89	0.357476089424832	0.714952178849663	0.642523910575169
90	0.435125722946492	0.870251445892983	0.564874277053508
91	0.389340469815081	0.778680939630162	0.610659530184919
92	0.343342123872697	0.686684247745394	0.656657876127303
93	0.299680152867048	0.599360305734096	0.700319847132952
94	0.284309579307714	0.568619158615428	0.715690420692286
95	0.275615609853023	0.551231219706046	0.724384390146977
96	0.237338562786868	0.474677125573736	0.762661437213132
97	0.200911282002757	0.401822564005514	0.799088717997243
98	0.170844380972221	0.341688761944443	0.829155619027779
99	0.158077222244039	0.316154444488078	0.841922777755961
100	0.199083575602278	0.398167151204555	0.800916424397722
101	0.183665355732903	0.367330711465805	0.816334644267097
102	0.16125284000399	0.322505680007981	0.83874715999601
103	0.199128351364392	0.398256702728784	0.800871648635608
104	0.200835657867152	0.401671315734305	0.799164342132848
105	0.181701922632488	0.363403845264976	0.818298077367512
106	0.182728024725316	0.365456049450632	0.817271975274684
107	0.163471804937842	0.326943609875683	0.836528195062158
108	0.144948540882238	0.289897081764476	0.855051459117762
109	0.304034710537121	0.608069421074242	0.695965289462879
110	0.324196432831954	0.648392865663908	0.675803567168046
111	0.292573869393004	0.585147738786008	0.707426130606996
112	0.24802308805065	0.4960461761013	0.75197691194935
113	0.209952168820551	0.419904337641102	0.790047831179449
114	0.174964204717485	0.34992840943497	0.825035795282515
115	0.141205206426543	0.282410412853086	0.858794793573457
116	0.11726006562632	0.23452013125264	0.88273993437368
117	0.322791914846307	0.645583829692613	0.677208085153693
118	0.276742957506227	0.553485915012454	0.723257042493773
119	0.286831247426089	0.573662494852178	0.713168752573911
120	0.239693067072168	0.479386134144335	0.760306932927832
121	0.214481945875157	0.428963891750315	0.785518054124843
122	0.190299476543381	0.380598953086761	0.809700523456619
123	0.231299724363703	0.462599448727405	0.768700275636297
124	0.221040431299894	0.442080862599787	0.778959568700106
125	0.179094677711047	0.358189355422094	0.820905322288953
126	0.154318164899115	0.30863632979823	0.845681835100885
127	0.127765522315111	0.255531044630223	0.872234477684889
128	0.111849303293769	0.223698606587539	0.888150696706231
129	0.183190647721221	0.366381295442442	0.816809352278779
130	0.141496156402915	0.28299231280583	0.858503843597085
131	0.104821583447072	0.209643166894144	0.895178416552928
132	0.0890905656387385	0.178181131277477	0.910909434361261
133	0.064960649985038	0.129921299970076	0.935039350014962
134	0.447705738999014	0.895411477998028	0.552294261000986
135	0.374187316599779	0.748374633199558	0.625812683400221
136	0.306267728845655	0.612535457691311	0.693732271154345
137	0.275424745727355	0.55084949145471	0.724575254272645
138	0.236699485127694	0.473398970255388	0.763300514872306
139	0.316455752499638	0.632911504999276	0.683544247500362
140	0.223004586584214	0.446009173168428	0.776995413415786
141	0.996969420529873	0.00606115894025315	0.00303057947012658
142	0.988430202796716	0.0231395944065684	0.0115697972032842
143	0.957485111687091	0.0850297766258178	0.0425148883129089

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	1	0.0072992700729927	OK
5% type I error level	2	0.0145985401459854	OK
10% type I error level	3	0.0218978102189781	OK