Multiple Linear Regression - Estimated Regression Equation

y[t] = + 12.4457068657685 + 0.291998052264244x[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)	12.4457068657685	0.871666	14.2781	0	0
x	0.291998052264244	0.514495	0.5675	0.571141	0.28557

Multiple Linear Regression - Regression Statistics
Multiple R	0.0448231217392387
R-squared	0.00200911224245061
Adjusted R-squared	-0.00422833080603424
F-TEST (value)	0.322105104100101
F-TEST (DF numerator)	1
F-TEST (DF denominator)	160
p-value	0.571140774666708
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.17284786290018
Sum Squared Residuals	1610.71416977763

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	13.0297029702971	-1.02970297029708
2	11	13.0297029702970	-2.02970297029703
3	14	13.0297029702970	0.97029702970297
4	12	12.7377049180328	-0.737704918032786
5	21	13.0297029702970	7.97029702970297
6	12	13.0297029702970	-1.02970297029703
7	22	13.0297029702970	8.97029702970297
8	11	13.0297029702970	-2.02970297029703
9	10	13.0297029702970	-3.02970297029703
10	13	13.0297029702970	-0.0297029702970298
11	10	12.7377049180328	-2.73770491803279
12	8	13.0297029702970	-5.02970297029703
13	15	12.7377049180328	2.26229508196721
14	14	13.0297029702970	0.97029702970297
15	10	13.0297029702970	-3.02970297029703
16	14	12.7377049180328	1.26229508196721
17	14	12.7377049180328	1.26229508196721
18	11	13.0297029702970	-2.02970297029703
19	10	12.7377049180328	-2.73770491803279
20	13	13.0297029702970	-0.0297029702970298
21	7	12.7377049180328	-5.73770491803279
22	14	13.0297029702970	0.97029702970297
23	12	13.0297029702970	-1.02970297029703
24	14	13.0297029702970	0.97029702970297
25	11	12.7377049180328	-1.73770491803279
26	9	13.0297029702970	-4.02970297029703
27	11	12.7377049180328	-1.73770491803279
28	15	13.0297029702970	1.97029702970297
29	14	13.0297029702970	0.97029702970297
30	13	12.7377049180328	0.262295081967214
31	9	13.0297029702970	-4.02970297029703
32	15	12.7377049180328	2.26229508196721
33	10	13.0297029702970	-3.02970297029703
34	11	13.0297029702970	-2.02970297029703
35	13	12.7377049180328	0.262295081967214
36	8	12.7377049180328	-4.73770491803279
37	20	12.7377049180328	7.26229508196721
38	12	12.7377049180328	-0.737704918032786
39	10	13.0297029702970	-3.02970297029703
40	10	12.7377049180328	-2.73770491803279
41	9	12.7377049180328	-3.73770491803279
42	14	13.0297029702970	0.97029702970297
43	8	12.7377049180328	-4.73770491803279
44	14	12.7377049180328	1.26229508196721
45	11	13.0297029702970	-2.02970297029703
46	13	13.0297029702970	-0.0297029702970298
47	9	13.0297029702970	-4.02970297029703
48	11	13.0297029702970	-2.02970297029703
49	15	13.0297029702970	1.97029702970297
50	11	12.7377049180328	-1.73770491803279
51	10	13.0297029702970	-3.02970297029703
52	14	12.7377049180328	1.26229508196721
53	18	12.7377049180328	5.26229508196721
54	14	13.0297029702970	0.97029702970297
55	11	12.7377049180328	-1.73770491803279
56	12	13.0297029702970	-1.02970297029703
57	13	13.0297029702970	-0.0297029702970298
58	9	13.0297029702970	-4.02970297029703
59	10	12.7377049180328	-2.73770491803279
60	15	13.0297029702970	1.97029702970297
61	20	12.7377049180328	7.26229508196721
62	12	12.7377049180328	-0.737704918032786
63	12	13.0297029702970	-1.02970297029703
64	14	13.0297029702970	0.97029702970297
65	13	13.0297029702970	-0.0297029702970298
66	11	12.7377049180328	-1.73770491803279
67	17	13.0297029702970	3.97029702970297
68	12	12.7377049180328	-0.737704918032786
69	13	13.0297029702970	-0.0297029702970298
70	14	12.7377049180328	1.26229508196721
71	13	12.7377049180328	0.262295081967214
72	15	13.0297029702970	1.97029702970297
73	13	13.0297029702970	-0.0297029702970298
74	10	12.7377049180328	-2.73770491803279
75	11	12.7377049180328	-1.73770491803279
76	19	13.0297029702970	5.97029702970297
77	13	13.0297029702970	-0.0297029702970298
78	17	13.0297029702970	3.97029702970297
79	13	12.7377049180328	0.262295081967214
80	9	12.7377049180328	-3.73770491803279
81	11	12.7377049180328	-1.73770491803279
82	10	12.7377049180328	-2.73770491803279
83	9	13.0297029702970	-4.02970297029703
84	12	12.7377049180328	-0.737704918032786
85	12	13.0297029702970	-1.02970297029703
86	13	13.0297029702970	-0.0297029702970298
87	13	12.7377049180328	0.262295081967214
88	12	13.0297029702970	-1.02970297029703
89	15	13.0297029702970	1.97029702970297
90	22	13.0297029702970	8.97029702970297
91	13	13.0297029702970	-0.0297029702970298
92	15	13.0297029702970	1.97029702970297
93	13	13.0297029702970	-0.0297029702970298
94	15	13.0297029702970	1.97029702970297
95	10	13.0297029702970	-3.02970297029703
96	11	13.0297029702970	-2.02970297029703
97	16	13.0297029702970	2.97029702970297
98	11	13.0297029702970	-2.02970297029703
99	11	12.7377049180328	-1.73770491803279
100	10	12.7377049180328	-2.73770491803279
101	10	13.0297029702970	-3.02970297029703
102	16	12.7377049180328	3.26229508196721
103	12	13.0297029702970	-1.02970297029703
104	11	12.7377049180328	-1.73770491803279
105	16	13.0297029702970	2.97029702970297
106	19	12.7377049180328	6.26229508196721
107	11	13.0297029702970	-2.02970297029703
108	16	12.7377049180328	3.26229508196721
109	15	12.7377049180328	2.26229508196721
110	24	13.0297029702970	10.9702970297030
111	14	13.0297029702970	0.97029702970297
112	15	13.0297029702970	1.97029702970297
113	11	13.0297029702970	-2.02970297029703
114	15	12.7377049180328	2.26229508196721
115	12	13.0297029702970	-1.02970297029703
116	10	12.7377049180328	-2.73770491803279
117	14	13.0297029702970	0.97029702970297
118	13	13.0297029702970	-0.0297029702970298
119	9	13.0297029702970	-4.02970297029703
120	15	13.0297029702970	1.97029702970297
121	15	13.0297029702970	1.97029702970297
122	14	13.0297029702970	0.97029702970297
123	11	13.0297029702970	-2.02970297029703
124	8	13.0297029702970	-5.02970297029703
125	11	13.0297029702970	-2.02970297029703
126	11	13.0297029702970	-2.02970297029703
127	8	12.7377049180328	-4.73770491803279
128	10	13.0297029702970	-3.02970297029703
129	11	13.0297029702970	-2.02970297029703
130	13	13.0297029702970	-0.0297029702970298
131	11	12.7377049180328	-1.73770491803279
132	20	12.7377049180328	7.26229508196721
133	10	13.0297029702970	-3.02970297029703
134	15	12.7377049180328	2.26229508196721
135	12	12.7377049180328	-0.737704918032786
136	14	13.0297029702970	0.97029702970297
137	23	12.7377049180328	10.2622950819672
138	14	12.7377049180328	1.26229508196721
139	16	13.0297029702970	2.97029702970297
140	11	13.0297029702970	-2.02970297029703
141	12	12.7377049180328	-0.737704918032786
142	10	13.0297029702970	-3.02970297029703
143	14	12.7377049180328	1.26229508196721
144	12	13.0297029702970	-1.02970297029703
145	12	12.7377049180328	-0.737704918032786
146	11	13.0297029702970	-2.02970297029703
147	12	13.0297029702970	-1.02970297029703
148	13	12.7377049180328	0.262295081967214
149	11	12.7377049180328	-1.73770491803279
150	19	12.7377049180328	6.26229508196721
151	12	13.0297029702970	-1.02970297029703
152	17	13.0297029702970	3.97029702970297
153	9	12.7377049180328	-3.73770491803279
154	12	13.0297029702970	-1.02970297029703
155	19	13.0297029702970	5.97029702970297
156	18	13.0297029702970	4.97029702970297
157	15	13.0297029702970	1.97029702970297
158	14	13.0297029702970	0.97029702970297
159	11	13.0297029702970	-2.02970297029703
160	9	13.0297029702970	-4.02970297029703
161	18	13.0297029702970	4.97029702970297
162	16	13.0297029702970	2.97029702970297

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.890311882137785	0.21937623572443	0.109688117862215
6	0.835678091070186	0.328643817859628	0.164321908929814
7	0.967359506805803	0.0652809863883943	0.0326404931941972
8	0.967051108276131	0.0658977834477383	0.0329488917238691
9	0.97124642118687	0.0575071576262595	0.0287535788131297
10	0.952844620174595	0.0943107596508092	0.0471553798254046
11	0.931023665218445	0.137952669563110	0.0689763347815549
12	0.962344418926067	0.0753111621478665	0.0376555810739332
13	0.95754928503602	0.084901429927961	0.0424507149639805
14	0.936483306024963	0.127033387950074	0.063516693975037
15	0.932250222631816	0.135499554736368	0.0677497773681841
16	0.908512845111864	0.182974309776271	0.0914871548881356
17	0.877803759480582	0.244392481038836	0.122196240519418
18	0.852392885549283	0.295214228901434	0.147607114450717
19	0.836954172002272	0.326091655995456	0.163045827997728
20	0.789969157273412	0.420061685453176	0.210030842726588
21	0.850812523206204	0.298374953587591	0.149187476793796
22	0.812261981437177	0.375476037125647	0.187738018562823
23	0.769459168695263	0.461081662609475	0.230540831304738
24	0.72187780334191	0.55624439331618	0.27812219665809
25	0.670794817716318	0.658410364567364	0.329205182283682
26	0.696687308262123	0.606625383475753	0.303312691737877
27	0.645456399634279	0.709087200731442	0.354543600365721
28	0.611349623468542	0.777300753062916	0.388650376531458
29	0.558176434913756	0.883647130172489	0.441823565086244
30	0.507620918207734	0.984758163584531	0.492379081792266
31	0.537588636417831	0.924822727164338	0.462411363582169
32	0.52951873842419	0.94096252315162	0.47048126157581
33	0.516531339567294	0.966937320865412	0.483468660432706
34	0.476866646361124	0.953733292722247	0.523133353638876
35	0.425108524832067	0.850217049664133	0.574891475167933
36	0.464446972652359	0.928893945304718	0.535553027347641
37	0.713884456341352	0.572231087317297	0.286115543658648
38	0.667777034782605	0.66444593043479	0.332222965217395
39	0.653353570359294	0.693292859281412	0.346646429640706
40	0.632073907408965	0.73585218518207	0.367926092591035
41	0.63582478862576	0.728350422748481	0.364175211374241
42	0.594583792071748	0.810832415856504	0.405416207928252
43	0.631492225257272	0.737015549485456	0.368507774742728
44	0.599701873454206	0.800596253091589	0.400298126545794
45	0.564738125467717	0.870523749064566	0.435261874532283
46	0.515410129082943	0.969179741834113	0.484589870917057
47	0.533014255892546	0.933971488214909	0.466985744107454
48	0.497252964291201	0.994505928582403	0.502747035708799
49	0.475744195012975	0.95148839002595	0.524255804987025
50	0.435945833612265	0.87189166722453	0.564054166387735
51	0.422980679139512	0.845961358279023	0.577019320860488
52	0.391255770692373	0.782511541384746	0.608744229307627
53	0.494691188328734	0.989382376657468	0.505308811671266
54	0.45576791473588	0.91153582947176	0.54423208526412
55	0.419356373665056	0.838712747330112	0.580643626334944
56	0.376222087348892	0.752444174697785	0.623777912651108
57	0.332970358241738	0.665940716483476	0.667029641758262
58	0.350593608767429	0.701187217534859	0.649406391232571
59	0.33471863049242	0.66943726098484	0.66528136950758
60	0.315964286852916	0.631928573705833	0.684035713147084
61	0.523827366180146	0.952345267639708	0.476172633819854
62	0.479387256915321	0.958774513830642	0.520612743084679
63	0.436965563291438	0.873931126582877	0.563034436708562
64	0.399407258542133	0.798814517084266	0.600592741457867
65	0.356496409742313	0.712992819484625	0.643503590257687
66	0.325548195794705	0.65109639158941	0.674451804205295
67	0.357486948365992	0.714973896731984	0.642513051634008
68	0.317600025738196	0.635200051476392	0.682399974261804
69	0.278441387613626	0.556882775227253	0.721558612386374
70	0.248434635055499	0.496869270110998	0.751565364944501
71	0.214344467255381	0.428688934510762	0.78565553274462
72	0.196828227182862	0.393656454365725	0.803171772817138
73	0.167059779918639	0.334119559837279	0.83294022008136
74	0.159316605542874	0.318633211085747	0.840683394457126
75	0.140677612042492	0.281355224084983	0.859322387957508
76	0.220141291219783	0.440282582439566	0.779858708780217
77	0.188156173527561	0.376312347055121	0.81184382647244
78	0.207254112103335	0.41450822420667	0.792745887896665
79	0.177254062668596	0.354508125337191	0.822745937331404
80	0.189519073674162	0.379038147348325	0.810480926325838
81	0.170086580915433	0.340173161830867	0.829913419084567
82	0.165105982851625	0.33021196570325	0.834894017148375
83	0.182684272698450	0.365368545396900	0.81731572730155
84	0.157793791049837	0.315587582099674	0.842206208950163
85	0.134628911123000	0.269257822245999	0.865371088877
86	0.111753494138726	0.223506988277453	0.888246505861274
87	0.0929210295172339	0.185842059034468	0.907078970482766
88	0.0772271127951671	0.154454225590334	0.922772887204833
89	0.0678832518368949	0.135766503673790	0.932116748163105
90	0.242821755046978	0.485643510093956	0.757178244953022
91	0.208729772405988	0.417459544811975	0.791270227594012
92	0.189150534065514	0.378301068131027	0.810849465934486
93	0.159898143111862	0.319796286223725	0.840101856888138
94	0.143395631364223	0.286791262728445	0.856604368635777
95	0.140933374860930	0.281866749721860	0.85906662513907
96	0.126385568582101	0.252771137164202	0.873614431417899
97	0.123087391903844	0.246174783807687	0.876912608096156
98	0.109775615331437	0.219551230662874	0.890224384668563
99	0.0987940485131316	0.197588097026263	0.901205951486868
100	0.0994346348750596	0.198869269750119	0.90056536512494
101	0.0978481145314125	0.195696229062825	0.902151885468587
102	0.095415535653008	0.190831071306016	0.904584464346992
103	0.0791166628675102	0.158233325735020	0.92088333713249
104	0.071791243162145	0.14358248632429	0.928208756837855
105	0.0692007313019632	0.138401462603926	0.930799268698037
106	0.112504882106532	0.225009764213063	0.887495117893468
107	0.0998508591771636	0.199701718354327	0.900149140822836
108	0.0958005096634936	0.191601019326987	0.904199490336506
109	0.0834543091662693	0.166908618332539	0.91654569083373
110	0.453340851213032	0.906681702426064	0.546659148786968
111	0.41068627869065	0.8213725573813	0.58931372130935
112	0.383387365583242	0.766774731166485	0.616612634416758
113	0.353705506618928	0.707411013237857	0.646294493381072
114	0.323452654819337	0.646905309638673	0.676547345180663
115	0.283830801935407	0.567661603870814	0.716169198064593
116	0.286413042009816	0.572826084019632	0.713586957990184
117	0.249647022729069	0.499294045458137	0.750352977270931
118	0.211438195026787	0.422876390053574	0.788561804973213
119	0.229461281996368	0.458922563992735	0.770538718003632
120	0.206455199339667	0.412910398679334	0.793544800660333
121	0.185311040687228	0.370622081374457	0.814688959312772
122	0.156350860714379	0.312701721428759	0.84364913928562
123	0.136423907499085	0.27284781499817	0.863576092500915
124	0.176993847154302	0.353987694308604	0.823006152845698
125	0.156882827712314	0.313765655424627	0.843117172287686
126	0.138838636272042	0.277677272544085	0.861161363727958
127	0.205550307747893	0.411100615495787	0.794449692252107
128	0.204537441318984	0.409074882637967	0.795462558681016
129	0.185633618830582	0.371267237661164	0.814366381169418
130	0.151091896024199	0.302183792048397	0.848908103975801
131	0.145776408278417	0.291552816556835	0.854223591721583
132	0.246626802797540	0.493253605595080	0.75337319720246
133	0.25294011265139	0.50588022530278	0.74705988734861
134	0.216259236833151	0.432518473666303	0.783740763166849
135	0.186627046517319	0.373254093034638	0.813372953482681
136	0.149482857444099	0.298965714888198	0.850517142555901
137	0.568205950023176	0.863588099953649	0.431794049976824
138	0.510920602777833	0.978158794444334	0.489079397222167
139	0.48414894603838	0.96829789207676	0.51585105396162
140	0.45960056906177	0.91920113812354	0.54039943093823
141	0.397106647643525	0.794213295287051	0.602893352356475
142	0.420645718999328	0.841291437998655	0.579354281000672
143	0.359612386292654	0.719224772585309	0.640387613707346
144	0.316595405942459	0.633190811884918	0.683404594057541
145	0.257096254441670	0.514192508883341	0.74290374555833
146	0.250273198610364	0.500546397220729	0.749726801389636
147	0.220376866206384	0.440753732412767	0.779623133793616
148	0.164784203888478	0.329568407776955	0.835215796111522
149	0.138906887210952	0.277813774421905	0.861093112789048
150	0.363404914361201	0.726809828722403	0.636595085638799
151	0.333752787383088	0.667505574766176	0.666247212616912
152	0.290349170838613	0.580698341677225	0.709650829161387
153	0.212783847381234	0.425567694762469	0.787216152618766
154	0.182681656542127	0.365363313084253	0.817318343457873
155	0.228184145081917	0.456368290163833	0.771815854918083
156	0.250266346010647	0.500532692021294	0.749733653989353
157	0.155825066827269	0.311650133654538	0.844174933172731

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	0	0	OK
10% type I error level	6	0.0392156862745098	OK