Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.0184516802995404 + 0.041468855866973`Weeks*t`[t] + 0.122212707154103Useful[t] -0.0112665857955531Outcome[t] + 0.000443487529711028t + 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)	-0.0184516802995404	0.052558	-0.3511	0.726028	0.363014
`Weeks*t`	0.041468855866973	0.014533	2.8534	0.004941	0.002471
Useful	0.122212707154103	0.048813	2.5037	0.013369	0.006685
Outcome	-0.0112665857955531	0.043452	-0.2593	0.795773	0.397887
t	0.000443487529711028	0.000487	0.9112	0.36364	0.18182

Multiple Linear Regression - Regression Statistics
Multiple R	0.307451975857687
R-squared	0.0945267174587956
Adjusted R-squared	0.0702187098737969
F-TEST (value)	3.88870692623656
F-TEST (DF numerator)	4
F-TEST (DF denominator)	149
p-value	0.00492733686191882
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.259309913754739
Sum Squared Residuals	10.019003074352

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.13660064490251	-0.13660064490251
2	0	-0.0175647052401184	0.0175647052401184
3	0	-0.0171212177104072	0.0171212177104072
4	0	-0.0166777301806963	0.0166777301806963
5	0	-0.0162342426509853	0.0162342426509853
6	0	0.0951553662372761	-0.0951553662372761
7	0	-0.0153472675915632	0.0153472675915632
8	0	0.15097164340604	-0.15097164340604
9	0	-0.0257268783276942	0.0257268783276942
10	0	-0.0140168050024301	0.0140168050024301
11	0	0.152302105995173	-0.152302105995173
12	0	-0.013129829943008	0.013129829943008
13	0	0.109526364740806	-0.109526364740806
14	0	0.153632568584306	-0.153632568584306
15	0	0.0991467540046754	-0.0991467540046754
16	0	0.265465665002278	-0.265465665002278
17	1	0.277175738327543	0.722824261672457
18	0	0.15540651870315	-0.15540651870315
19	0	-0.021292003030584	0.021292003030584
20	1	0.267239615121122	0.732760384878878
21	0	0.113074264978495	-0.113074264978495
22	0	0.102251166712653	-0.102251166712653
23	0	0.102694654242364	-0.102694654242364
24	0	0.103138141772075	-0.103138141772075
25	0	0.147244345615574	-0.147244345615574
26	0	0.11529170262705	-0.11529170262705
27	0	-0.0177441027928957	0.0177441027928957
28	0	-0.00603402946763159	0.00603402946763159
29	0	-0.0168571277334737	0.0168571277334737
30	0	0.117065652745894	-0.117065652745894
31	0	-0.00470356687849851	0.00470356687849851
32	0	-0.00426007934878748	0.00426007934878748
33	0	0.118396115335027	-0.118396115335027
34	0	0.151235733382974	-0.151235733382974
35	0	-0.0029296167596544	0.0029296167596544
36	0	-0.00248612922994337	0.00248612922994337
37	0	0.286045488921763	-0.286045488921763
38	0	-0.0128657399660744	0.0128657399660744
39	0	0.10979045471774	-0.10979045471774
40	0	0.287375951510896	-0.287375951510896
41	1	0.110677429777162	0.889322570222838
42	0	-0.0110917898472303	0.0110917898472303
43	0	0.111564404836584	-0.111564404836584
44	0	0.166937194475637	-0.166937194475637
45	0	0.123717965691559	-0.123717965691559
46	0	0.112894867425717	-0.112894867425717
47	0	0.00239223359687793	-0.00239223359687793
48	0	-0.00843086466896416	0.00843086466896416
49	0	0.11422533001485	-0.11422533001485
50	0	0.00372269618601101	-0.00372269618601101
51	0	0.170041607183614	-0.170041607183614
52	1	0.292697801867429	0.707302198132571
53	0	-0.00621342702040902	0.00621342702040902
54	1	0.00549664630485502	0.994503353695145
55	0	0.00594013383456615	-0.00594013383456615
56	0	0.160992459036616	-0.160992459036616
57	0	0.117773230252539	-0.117773230252539
58	0	-0.00399598937185388	0.00399598937185388
59	0	-0.00355250184214285	0.00355250184214285
60	1	0.284979116309564	0.715020883690436
61	0	0.163209896685171	-0.163209896685171
62	0	0.131257253696647	-0.131257253696647
63	0	0.00948803407225437	-0.00948803407225437
64	0	0.164540359274304	-0.164540359274304
65	0	0.0103750091316764	-0.0103750091316764
66	0	0.0108184966613875	-0.0108184966613875
67	1	0.299350114813094	0.700649885186906
68	0	0.0117054717208095	-0.0117054717208095
69	0	0.000882373454967425	-0.000882373454967425
70	0	0.0125924467802316	-0.0125924467802316
71	0	0.0130359343099426	-0.0130359343099426
72	0	0.00221283604410051	-0.00221283604410051
73	0	0.00265632357381153	-0.00265632357381153
74	0	0.0143663968990757	-0.0143663968990757
75	0	0.00354329863323359	-0.00354329863323359
76	0	0.29207491678494	-0.29207491678494
77	0	0.00443027369265564	-0.00443027369265564
78	0	0.12708646837647	-0.12708646837647
79	1	0.17119267221997	0.82880732778003
80	0	0.305115452699337	-0.305115452699337
81	0	0.0174708096070529	-0.0174708096070529
82	0	0.00664771134121078	-0.00664771134121078
83	0	0.0183577846664749	-0.0183577846664749
84	1	0.0188012721961859	0.981198727803814
85	0	0.130190881084447	-0.130190881084447
86	0	0.019688247255608	-0.019688247255608
87	0	0.00886514898976592	-0.00886514898976592
88	0	0.092246348253423	-0.092246348253423
89	0	0.0210187098447411	-0.0210187098447411
90	0	0.010195611578899	-0.010195611578899
91	0	0.144118392058267	-0.144118392058267
92	0	0.10528688416782	-0.10528688416782
93	0	0.145005367117689	-0.145005367117689
94	0	0.0232361474932962	-0.0232361474932962
95	0	0.106617346756953	-0.106617346756953
96	0	0.0128565367571652	-0.0128565367571652
97	0	0.107504321816375	-0.107504321816375
98	0	0.0250100976121403	-0.0250100976121403
99	0	0.0254535851418514	-0.0254535851418514
100	0	0.0146304868760093	-0.0146304868760093
101	0	0.0150739744057203	-0.0150739744057203
102	0	0.0267840477309844	-0.0267840477309844
103	0	0.0272275352606955	-0.0272275352606955
104	0	0.0276710227904065	-0.0276710227904065
105	0	0.111052222054064	-0.111052222054064
106	0	0.0285579978498286	-0.0285579978498286
107	0	0.0290014853795396	-0.0290014853795396
108	0	0.112382684643197	-0.112382684643197
109	0	0.0298884604389616	-0.0298884604389616
110	0	0.0303319479686727	-0.0303319479686727
111	0	0.235925854386433	-0.235925854386433
112	0	0.114156634762041	-0.114156634762041
113	0	0.0316624105578058	-0.0316624105578058
114	0	0.115043609821463	-0.115043609821463
115	0	0.0325493856172278	-0.0325493856172278
116	0	0.0329928731469388	-0.0329928731469388
117	0	0.0221697748810967	-0.0221697748810967
118	0	0.0338798482063609	-0.0338798482063609
119	0	0.0343233357360719	-0.0343233357360719
120	0	0.0235002374702298	-0.0235002374702298
121	0	0.035210310795494	-0.035210310795494
122	0	0.035653798325205	-0.035653798325205
123	0	0.119034997588862	-0.119034997588862
124	0	0.147486894743177	-0.147486894743177
125	0	0.025717675118785	-0.025717675118785
126	0	0.120365460177995	-0.120365460177995
127	0	0.160083943127864	-0.160083943127864
128	0	0.0270481377079181	-0.0270481377079181
129	0	0.0387582110331822	-0.0387582110331822
130	0	0.0279351127673401	-0.0279351127673401
131	0	0.0396451860926042	-0.0396451860926042
132	0	0.0288220878267622	-0.0288220878267622
133	0	0.0405321611520263	-0.0405321611520263
134	0	0.0409756486817373	-0.0409756486817373
135	0	0.0414191362114484	-0.0414191362114484
136	0	0.0418626237411594	-0.0418626237411594
137	0	0.153252232629421	-0.153252232629421
138	0	0.236633431893078	-0.236633431893078
139	0	0.126130798064239	-0.126130798064239
140	0	0.0436365738600035	-0.0436365738600035
141	1	0.0328134755941614	0.967186524405839
142	0	0.116194674857818	-0.116194674857818
143	0	0.0449670364491366	-0.0449670364491366
144	0	0.156356645337398	-0.156356645337398
145	0	0.168066718662662	-0.168066718662662
146	0	0.117968624976663	-0.117968624976663
147	0	0.129678698301927	-0.129678698301927
148	0	0.130122185831638	-0.130122185831638
149	0	0.0476279616274028	-0.0476279616274028
150	0	0.159017570515664	-0.159017570515664
151	0	0.0372483508912717	-0.0372483508912717
152	1	0.0489584242165357	0.951041575783464
153	1	0.17161461890035	0.82838538109965
154	0	0.0498453992759579	-0.0498453992759579

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
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	0.229444816659641	0.458889633319282	0.770555183340359
18	0.18187464425341	0.36374928850682	0.81812535574659
19	0.158793414989959	0.317586829979917	0.841206585010041
20	0.578685492145715	0.842629015708569	0.421314507854285
21	0.589770645707406	0.820458708585189	0.410229354292594
22	0.545776278190613	0.908447443618774	0.454223721809387
23	0.490883582066201	0.981767164132402	0.509116417933799
24	0.431468568607679	0.862937137215358	0.568531431392321
25	0.371608128335187	0.743216256670374	0.628391871664813
26	0.327740862257691	0.655481724515382	0.672259137742309
27	0.291497167735887	0.582994335471775	0.708502832264113
28	0.240527474012685	0.48105494802537	0.759472525987315
29	0.19904461986999	0.39808923973998	0.80095538013001
30	0.169496054328363	0.338992108656726	0.830503945671637
31	0.133450929530002	0.266901859060004	0.866549070469998
32	0.102847771762972	0.205695543525944	0.897152228237028
33	0.0841374315412659	0.168274863082532	0.915862568458734
34	0.0687967118050317	0.137593423610063	0.931203288194968
35	0.0516231788752734	0.103246357750547	0.948376821124727
36	0.0379330362157415	0.0758660724314829	0.962066963784258
37	0.0461810827959176	0.0923621655918352	0.953818917204082
38	0.0346808016430505	0.069361603286101	0.965319198356949
39	0.0257762239164039	0.0515524478328079	0.974223776083596
40	0.0265979695365489	0.0531959390730979	0.973402030463451
41	0.383418515335906	0.766837030671812	0.616581484664094
42	0.332025103430896	0.664050206861792	0.667974896569104
43	0.299418958550357	0.598837917100713	0.700581041449643
44	0.266631687670287	0.533263375340575	0.733368312329713
45	0.2323754095852	0.4647508191704	0.7676245904148
46	0.202908040011981	0.405816080023962	0.797091959988019
47	0.16954626420407	0.339092528408141	0.83045373579593
48	0.138360795217225	0.27672159043445	0.861639204782775
49	0.11748405799513	0.234968115990259	0.88251594200487
50	0.0949875917023194	0.189975183404639	0.905012408297681
51	0.081096027388038	0.162192054776076	0.918903972611962
52	0.294815589876282	0.589631179752563	0.705184410123718
53	0.252851986293773	0.505703972587546	0.747148013706227
54	0.813508596417893	0.372982807164215	0.186491403582107
55	0.781133626196506	0.437732747606988	0.218866373803494
56	0.764365072702274	0.471269854595452	0.235634927297726
57	0.739268528268974	0.521462943462053	0.260731471731026
58	0.698334986150346	0.603330027699307	0.301665013849654
59	0.654842035076537	0.690315929846925	0.345157964923463
60	0.861821064073393	0.276357871853213	0.138178935926607
61	0.849683141599667	0.300633716800665	0.150316858400333
62	0.835839839962097	0.328320320075807	0.164160160037903
63	0.805402418875542	0.389195162248916	0.194597581124458
64	0.788888460580332	0.422223078839337	0.211111539419668
65	0.753497076131568	0.493005847736864	0.246502923868432
66	0.715134057866006	0.569731884267988	0.284865942133994
67	0.909177261859623	0.181645476280754	0.0908227381403768
68	0.889095812307768	0.221808375384464	0.110904187692232
69	0.865141718874165	0.26971656225167	0.134858281125835
70	0.838808821227544	0.322382357544913	0.161191178772457
71	0.809239577787457	0.381520844425086	0.190760422212543
72	0.775582629803396	0.448834740393208	0.224417370196604
73	0.738849883272672	0.522300233454655	0.261150116727328
74	0.700365601817405	0.59926879636519	0.299634398182595
75	0.658420875290343	0.683158249419315	0.341579124709657
76	0.673946743690501	0.652106512618999	0.326053256309499
77	0.630648920192129	0.738702159615742	0.369351079807871
78	0.599034223513993	0.801931552972014	0.400965776486007
79	0.949516107883155	0.100967784233691	0.0504838921168454
80	0.954048110924985	0.0919037781500305	0.0459518890750152
81	0.941662354836001	0.116675290327997	0.0583376451639986
82	0.926601335910309	0.146797328179382	0.073398664089691
83	0.908895320596786	0.182209358806428	0.0911046794032138
84	0.999139656355841	0.00172068728831756	0.000860343644158782
85	0.998830323641169	0.00233935271766177	0.00116967635883088
86	0.998318059849702	0.00336388030059609	0.00168194015029805
87	0.997591168038617	0.00481766392276561	0.00240883196138281
88	0.996909065770832	0.00618186845833566	0.00309093422916783
89	0.995667051908725	0.00866589618254972	0.00433294809127486
90	0.994014385828298	0.0119712283434034	0.00598561417170171
91	0.992293687787743	0.0154126244245145	0.00770631221225723
92	0.990310399971563	0.0193792000568732	0.00968960002843661
93	0.987444763760168	0.0251104724796643	0.0125552362398321
94	0.983039343483254	0.033921313033493	0.0169606565167465
95	0.978956981145581	0.0420860377088387	0.0210430188544194
96	0.972428113848791	0.0551437723024183	0.0275718861512091
97	0.966426699361793	0.0671466012764138	0.0335733006382069
98	0.956338402949247	0.0873231941015051	0.0436615970507526
99	0.943858707003699	0.112282585992602	0.0561412929963009
100	0.929553339249994	0.140893321500012	0.0704466607500062
101	0.912919099024378	0.174161801951243	0.0870809009756216
102	0.891756211846169	0.216487576307662	0.108243788153831
103	0.866956385382658	0.266087229234684	0.133043614617342
104	0.838307665883863	0.323384668232273	0.161692334116137
105	0.814225526072323	0.371548947855354	0.185774473927677
106	0.778613800978058	0.442772398043884	0.221386199021942
107	0.739106559826274	0.521786880347452	0.260893440173726
108	0.707494207041163	0.585011585917674	0.292505792958837
109	0.661909764418823	0.676180471162353	0.338090235581177
110	0.613444246223785	0.773111507552431	0.386555753776215
111	0.584377702745437	0.831244594509126	0.415622297254563
112	0.549836254100138	0.900327491799724	0.450163745899862
113	0.497535506793615	0.99507101358723	0.502464493206385
114	0.467274426403424	0.934548852806849	0.532725573596576
115	0.415248684091365	0.830497368182731	0.584751315908635
116	0.364194433936444	0.728388867872889	0.635805566063556
117	0.316274222831212	0.632548445662424	0.683725777168788
118	0.269475425016422	0.538950850032843	0.730524574983578
119	0.22597004291853	0.45194008583706	0.77402995708147
120	0.187237055408688	0.374474110817376	0.812762944591312
121	0.151644183159009	0.303288366318018	0.848355816840991
122	0.120499495925788	0.240998991851576	0.879500504074212
123	0.104359389160255	0.208718778320509	0.895640610839745
124	0.0818388990432179	0.163677798086436	0.918161100956782
125	0.0618950163388927	0.123790032677785	0.938104983661107
126	0.0539567393091218	0.107913478618244	0.946043260690878
127	0.0403667612673101	0.0807335225346202	0.95963323873269
128	0.0286676327171163	0.0573352654342326	0.971332367282884
129	0.0198795523032817	0.0397591046065634	0.980120447696718
130	0.0133181808468581	0.0266363616937162	0.986681819153142
131	0.00866747706989881	0.0173349541397976	0.991332522930101
132	0.0054499393636494	0.0108998787272988	0.994550060636351
133	0.00331477854741355	0.00662955709482711	0.996685221452586
134	0.0019519277732543	0.00390385554650861	0.998048072226746
135	0.00112005624090561	0.00224011248181122	0.998879943759094
136	0.000640753154101483	0.00128150630820297	0.999359246845898
137	0.000370506209182302	0.000741012418364604	0.999629493790818
138	0.00020694300411094	0.00041388600822188	0.999793056995889
139	0.000103385025103454	0.000206770050206909	0.999896614974897
140	6.4977484137261e-05	0.000129954968274522	0.999935022515863
141	0.0253249415800995	0.0506498831601989	0.974675058419901
142	0.0262232125413605	0.0524464250827211	0.973776787458639
143	0.0170341238362679	0.0340682476725359	0.982965876163732
144	0.0106735350399817	0.0213470700799634	0.989326464960018
145	0.00532748739036657	0.0106549747807331	0.994672512609633
146	0.00622988754206316	0.0124597750841263	0.993770112457937

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	23	0.165467625899281	NOK
5% type I error level	37	0.266187050359712	NOK
10% type I error level	50	0.359712230215827	NOK