Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = + 0.0526315789473684 + 0.0973684210526316Treatment[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)	0.0526315789473684	0.024947	2.1097	0.03652	0.01826
Treatment	0.0973684210526316	0.04895	1.9892	0.048479	0.02424

Multiple Linear Regression - Regression Statistics
Multiple R	0.159281652810876
R-squared	0.0253706449221646
Adjusted R-squared	0.0189586096913894
F-TEST (value)	3.95672263315016
F-TEST (DF numerator)	1
F-TEST (DF denominator)	152
p-value	0.0484790762148585
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.266362072117266
Sum Squared Residuals	10.7842105263158

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.15	-0.15
2	0	0.0526315789473686	-0.0526315789473686
3	0	0.0526315789473684	-0.0526315789473684
4	0	0.0526315789473684	-0.0526315789473684
5	0	0.0526315789473684	-0.0526315789473684
6	0	0.0526315789473684	-0.0526315789473684
7	0	0.0526315789473684	-0.0526315789473684
8	0	0.15	-0.15
9	0	0.0526315789473684	-0.0526315789473684
10	0	0.0526315789473684	-0.0526315789473684
11	0	0.15	-0.15
12	0	0.0526315789473684	-0.0526315789473684
13	0	0.0526315789473684	-0.0526315789473684
14	0	0.15	-0.15
15	0	0.0526315789473684	-0.0526315789473684
16	0	0.15	-0.15
17	1	0.15	0.85
18	0	0.15	-0.15
19	0	0.0526315789473684	-0.0526315789473684
20	1	0.15	0.85
21	0	0.0526315789473684	-0.0526315789473684
22	0	0.0526315789473684	-0.0526315789473684
23	0	0.0526315789473684	-0.0526315789473684
24	0	0.0526315789473684	-0.0526315789473684
25	0	0.15	-0.15
26	0	0.0526315789473684	-0.0526315789473684
27	0	0.0526315789473684	-0.0526315789473684
28	0	0.0526315789473684	-0.0526315789473684
29	0	0.0526315789473684	-0.0526315789473684
30	0	0.0526315789473684	-0.0526315789473684
31	0	0.0526315789473684	-0.0526315789473684
32	0	0.0526315789473684	-0.0526315789473684
33	0	0.0526315789473684	-0.0526315789473684
34	0	0.15	-0.15
35	0	0.0526315789473684	-0.0526315789473684
36	0	0.0526315789473684	-0.0526315789473684
37	0	0.15	-0.15
38	0	0.0526315789473684	-0.0526315789473684
39	0	0.0526315789473684	-0.0526315789473684
40	0	0.15	-0.15
41	1	0.0526315789473685	0.947368421052632
42	0	0.0526315789473684	-0.0526315789473684
43	0	0.0526315789473684	-0.0526315789473684
44	0	0.15	-0.15
45	0	0.0526315789473684	-0.0526315789473684
46	0	0.0526315789473684	-0.0526315789473684
47	0	0.0526315789473684	-0.0526315789473684
48	0	0.0526315789473684	-0.0526315789473684
49	0	0.0526315789473684	-0.0526315789473684
50	0	0.0526315789473684	-0.0526315789473684
51	0	0.15	-0.15
52	1	0.15	0.85
53	0	0.0526315789473684	-0.0526315789473684
54	1	0.0526315789473685	0.947368421052632
55	0	0.0526315789473684	-0.0526315789473684
56	0	0.15	-0.15
57	0	0.0526315789473684	-0.0526315789473684
58	0	0.0526315789473684	-0.0526315789473684
59	0	0.0526315789473684	-0.0526315789473684
60	1	0.15	0.85
61	0	0.15	-0.15
62	0	0.0526315789473684	-0.0526315789473684
63	0	0.0526315789473684	-0.0526315789473684
64	0	0.15	-0.15
65	0	0.0526315789473684	-0.0526315789473684
66	0	0.0526315789473684	-0.0526315789473684
67	1	0.15	0.85
68	0	0.0526315789473684	-0.0526315789473684
69	0	0.0526315789473684	-0.0526315789473684
70	0	0.0526315789473684	-0.0526315789473684
71	0	0.0526315789473684	-0.0526315789473684
72	0	0.0526315789473684	-0.0526315789473684
73	0	0.0526315789473684	-0.0526315789473684
74	0	0.0526315789473684	-0.0526315789473684
75	0	0.0526315789473684	-0.0526315789473684
76	0	0.15	-0.15
77	0	0.0526315789473684	-0.0526315789473684
78	0	0.0526315789473684	-0.0526315789473684
79	1	0.15	0.85
80	0	0.15	-0.15
81	0	0.0526315789473684	-0.0526315789473684
82	0	0.0526315789473684	-0.0526315789473684
83	0	0.0526315789473684	-0.0526315789473684
84	1	0.0526315789473685	0.947368421052632
85	0	0.0526315789473684	-0.0526315789473684
86	0	0.0526315789473684	-0.0526315789473684
87	0	0.0526315789473684	-0.0526315789473684
88	0	0.15	-0.15
89	0	0.0526315789473684	-0.0526315789473684
90	0	0.0526315789473684	-0.0526315789473684
91	0	0.0526315789473684	-0.0526315789473684
92	0	0.15	-0.15
93	0	0.0526315789473684	-0.0526315789473684
94	0	0.0526315789473684	-0.0526315789473684
95	0	0.15	-0.15
96	0	0.0526315789473684	-0.0526315789473684
97	0	0.15	-0.15
98	0	0.0526315789473684	-0.0526315789473684
99	0	0.0526315789473684	-0.0526315789473684
100	0	0.0526315789473684	-0.0526315789473684
101	0	0.0526315789473684	-0.0526315789473684
102	0	0.0526315789473684	-0.0526315789473684
103	0	0.0526315789473684	-0.0526315789473684
104	0	0.0526315789473684	-0.0526315789473684
105	0	0.15	-0.15
106	0	0.0526315789473684	-0.0526315789473684
107	0	0.0526315789473684	-0.0526315789473684
108	0	0.15	-0.15
109	0	0.0526315789473684	-0.0526315789473684
110	0	0.0526315789473684	-0.0526315789473684
111	0	0.15	-0.15
112	0	0.15	-0.15
113	0	0.0526315789473684	-0.0526315789473684
114	0	0.15	-0.15
115	0	0.0526315789473684	-0.0526315789473684
116	0	0.0526315789473684	-0.0526315789473684
117	0	0.0526315789473684	-0.0526315789473684
118	0	0.0526315789473684	-0.0526315789473684
119	0	0.0526315789473684	-0.0526315789473684
120	0	0.0526315789473684	-0.0526315789473684
121	0	0.0526315789473684	-0.0526315789473684
122	0	0.0526315789473684	-0.0526315789473684
123	0	0.15	-0.15
124	0	0.0526315789473684	-0.0526315789473684
125	0	0.0526315789473684	-0.0526315789473684
126	0	0.15	-0.15
127	0	0.0526315789473684	-0.0526315789473684
128	0	0.0526315789473684	-0.0526315789473684
129	0	0.0526315789473684	-0.0526315789473684
130	0	0.0526315789473684	-0.0526315789473684
131	0	0.0526315789473684	-0.0526315789473684
132	0	0.0526315789473684	-0.0526315789473684
133	0	0.0526315789473684	-0.0526315789473684
134	0	0.0526315789473684	-0.0526315789473684
135	0	0.0526315789473684	-0.0526315789473684
136	0	0.0526315789473684	-0.0526315789473684
137	0	0.0526315789473684	-0.0526315789473684
138	0	0.15	-0.15
139	0	0.15	-0.15
140	0	0.0526315789473684	-0.0526315789473684
141	1	0.0526315789473685	0.947368421052632
142	0	0.15	-0.15
143	0	0.0526315789473684	-0.0526315789473684
144	0	0.0526315789473684	-0.0526315789473684
145	0	0.0526315789473684	-0.0526315789473684
146	0	0.15	-0.15
147	0	0.15	-0.15
148	0	0.15	-0.15
149	0	0.0526315789473684	-0.0526315789473684
150	0	0.0526315789473684	-0.0526315789473684
151	0	0.0526315789473684	-0.0526315789473684
152	1	0.0526315789473685	0.947368421052632
153	1	0.0526315789473685	0.947368421052632
154	0	0.0526315789473684	-0.0526315789473684

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0	0	1
6	0	0	1
7	0	0	1
8	0	0	1
9	0	0	1
10	0	0	1
11	0	0	1
12	0	0	1
13	0	0	1
14	0	0	1
15	0	0	1
16	0	0	1
17	0.276998439578294	0.553996879156587	0.723001560421706
18	0.236028304766133	0.472056609532265	0.763971695233867
19	0.18013159172596	0.36026318345192	0.81986840827404
20	0.731999040496551	0.536001919006899	0.268000959503449
21	0.671874932112689	0.656250135774623	0.328125067887311
22	0.607976871596492	0.784046256807016	0.392023128403508
23	0.542029132406045	0.91594173518791	0.457970867593955
24	0.475848479963314	0.951696959926628	0.524151520036686
25	0.456431802926713	0.912863605853426	0.543568197073287
26	0.393380240288361	0.786760480576723	0.606619759711639
27	0.333725289199605	0.66745057839921	0.666274710800395
28	0.278627367589494	0.557254735178989	0.721372632410506
29	0.228910196447741	0.457820392895483	0.771089803552259
30	0.185049288557948	0.370098577115896	0.814950711442052
31	0.147192609811501	0.294385219623001	0.852807390188499
32	0.115205615326351	0.230411230652701	0.884794384673649
33	0.0887313679755873	0.177462735951175	0.911268632024413
34	0.0805981449878874	0.161196289975775	0.919401855012113
35	0.0609010650240362	0.121802130048072	0.939098934975964
36	0.0453042921916868	0.0906085843833736	0.954695707808313
37	0.0394608302557177	0.0789216605114353	0.960539169744282
38	0.028765067044895	0.0575301340897901	0.971234932955105
39	0.0206529587032293	0.0413059174064587	0.979347041296771
40	0.0172731831948408	0.0345463663896815	0.982726816805159
41	0.394631718741297	0.789263437482594	0.605368281258703
42	0.34561688985517	0.69123377971034	0.65438311014483
43	0.299305410386376	0.598610820772751	0.700694589613624
44	0.27035769142694	0.54071538285388	0.72964230857306
45	0.229814306354118	0.459628612708236	0.770185693645882
46	0.193092088654804	0.386184177309607	0.806907911345196
47	0.160343374001798	0.320686748003596	0.839656625998202
48	0.131582030087404	0.263164060174807	0.868417969912596
49	0.106701325911974	0.213402651823948	0.893298674088026
50	0.0854962465305614	0.170992493061123	0.914503753469439
51	0.0729956049744835	0.145991209948967	0.927004395025516
52	0.381763536212578	0.763527072425156	0.618236463787422
53	0.336778446164516	0.673556892329032	0.663221553835484
54	0.837720339025894	0.324559321948213	0.162279660974106
55	0.807554931650937	0.384890136698126	0.192445068349063
56	0.786690731519291	0.426618536961418	0.213309268480709
57	0.751555891128148	0.496888217743703	0.248444108871852
58	0.713635791720792	0.572728416558416	0.286364208279208
59	0.673254570985656	0.653490858028688	0.326745429014344
60	0.928749504034328	0.142500991931343	0.0712504959656715
61	0.91918240346564	0.16163519306872	0.08081759653436
62	0.900812886304886	0.198374227390228	0.0991871136951139
63	0.879598185398727	0.240803629202546	0.120401814601273
64	0.864802973900276	0.270394052199448	0.135197026099724
65	0.838738535932844	0.322522928134312	0.161261464067156
66	0.809641423747355	0.38071715250529	0.190358576252645
67	0.974859075436195	0.0502818491276094	0.0251409245638047
68	0.967537113167567	0.0649257736648653	0.0324628868324326
69	0.958549938941645	0.0829001221167107	0.0414500610583554
70	0.947657450863392	0.104685098273216	0.0523425491366079
71	0.934621035979737	0.130757928040526	0.0653789640202629
72	0.919213455091695	0.16157308981661	0.0807865449083051
73	0.901229997969028	0.197540004061944	0.0987700020309721
74	0.880500403178429	0.238999193643142	0.119499596821571
75	0.856900889534651	0.286198220930697	0.143099110465349
76	0.840776471122165	0.31844705775567	0.159223528877835
77	0.812388258061971	0.375223483876059	0.187611741938029
78	0.781096153885192	0.437807692229615	0.218903846114808
79	0.97848532759575	0.0430293448084998	0.0215146724042499
80	0.974651591178643	0.0506968176427142	0.0253484088213571
81	0.967366930055749	0.0652661398885022	0.0326330699442511
82	0.958442285418503	0.0831154291629944	0.0415577145814972
83	0.947642527482118	0.104714945035765	0.0523574725178825
84	0.999259665572189	0.00148066885562269	0.000740334427811345
85	0.998911697355661	0.00217660528867832	0.00108830264433916
86	0.99841880719044	0.00316238561911959	0.00158119280955979
87	0.99772939615911	0.00454120768178	0.00227060384089
88	0.997053392542255	0.00589321491549061	0.00294660745774531
89	0.995850418308764	0.0082991633824713	0.00414958169123565
90	0.99422395909323	0.0115520818135403	0.00577604090677013
91	0.992052852126608	0.015894295746783	0.00794714787339152
92	0.989896977050943	0.0202060458981136	0.0101030229490568
93	0.986371418087939	0.027257163824122	0.013628581912061
94	0.981826539283541	0.036346921432917	0.0181734607164585
95	0.977261296546464	0.0454774069070717	0.0227387034535359
96	0.970277536751276	0.0594449264974485	0.0297224632487242
97	0.963174150132164	0.073651699735673	0.0368258498678365
98	0.952823575407974	0.0943528491840527	0.0471764245920263
99	0.940245920263895	0.119508159472209	0.0597540797361047
100	0.925163955628039	0.149672088743923	0.0748360443719613
101	0.90731921702553	0.18536156594894	0.0926807829744699
102	0.886487405715372	0.227025188569256	0.113512594284628
103	0.862494733260775	0.275010533478449	0.137505266739225
104	0.835234161884173	0.329531676231654	0.164765838115827
105	0.808550921226329	0.382898157547342	0.191449078773671
106	0.774977065410941	0.450045869178118	0.225022934589059
107	0.738276990790888	0.523446018418224	0.261723009209112
108	0.702546531309016	0.594906937381969	0.297453468690984
109	0.660450714186832	0.679098571626335	0.339549285813168
110	0.616233735481583	0.767532529036834	0.383766264518417
111	0.57356780810995	0.8528643837801	0.42643219189005
112	0.529130560264317	0.941738879471365	0.470869439735683
113	0.481401738290671	0.962803476581342	0.518598261709329
114	0.435658173666236	0.871316347332471	0.564341826333765
115	0.38872444526321	0.77744889052642	0.61127555473679
116	0.343345524071178	0.686691048142357	0.656654475928822
117	0.300120811476089	0.600241622952178	0.699879188523911
118	0.259561330424949	0.519122660849897	0.740438669575051
119	0.222071402588727	0.444142805177454	0.777928597411273
120	0.18793749589848	0.37587499179696	0.81206250410152
121	0.157324687721637	0.314649375443274	0.842675312278363
122	0.130280493649584	0.260560987299167	0.869719506350416
123	0.105415592204449	0.210831184408898	0.894584407795551
124	0.0850903383332722	0.170180676666544	0.914909661666728
125	0.0679462956604063	0.135892591320813	0.932053704339594
126	0.0523161698171285	0.104632339634257	0.947683830182872
127	0.0406545858189664	0.0813091716379328	0.959345414181034
128	0.031274999582747	0.062549999165494	0.968725000417253
129	0.0238424541156672	0.0476849082313343	0.976157545884333
130	0.0180380482481204	0.0360760964962407	0.98196195175188
131	0.0135691774995403	0.0271383549990805	0.98643082250046
132	0.0101760744199034	0.0203521488398068	0.989823925580097
133	0.00763504553462854	0.0152700910692571	0.992364954465371
134	0.0057590358682785	0.011518071736557	0.994240964131721
135	0.00439630961310438	0.00879261922620875	0.995603690386896
136	0.00342817388145968	0.00685634776291935	0.99657182611854
137	0.00276694018273592	0.00553388036547185	0.997233059817264
138	0.00165677464568339	0.00331354929136679	0.998343225354317
139	0.000953476516807025	0.00190695303361405	0.999046523483193
140	0.000772863629935398	0.0015457272598708	0.999227136370065
141	0.0164201174022073	0.0328402348044146	0.983579882597793
142	0.00988140837327339	0.0197628167465468	0.990118591626727
143	0.00728457562152248	0.014569151243045	0.992715424378477
144	0.00565411925897313	0.0113082385179463	0.994345880741027
145	0.00485962857635088	0.00971925715270175	0.995140371423649
146	0.002381661775808	0.004763323551616	0.997618338224192
147	0.00105728627221941	0.00211457254443882	0.998942713727781
148	0.000414792744949438	0.000829585489898876	0.999585207255051
149	0.000338457240528154	0.000676914481056309	0.999661542759472

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	29	0.2	NOK
5% type I error level	48	0.331034482758621	NOK
10% type I error level	62	0.427586206896552	NOK