Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.0301763693008489 + 0.0248249882036826Weeks_Treatment[t] -0.010950232649299UseLimit[t] + 0.234228256524765Used[t] + 0.0642435469513574Useful[t] -0.0242136418403001`Outcome\r`[t] + 0.000198533655196473t + 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)	-0.0301763693008489	0.049655	-0.6077	0.544313	0.272156
Weeks_Treatment	0.0248249882036826	0.014102	1.7603	0.080431	0.040216
UseLimit	-0.010950232649299	0.042487	-0.2577	0.796975	0.398488
Used	0.234228256524765	0.045682	5.1273	1e-06	0
Useful	0.0642435469513574	0.046741	1.3745	0.171387	0.085694
`Outcome\r`	-0.0242136418403001	0.040524	-0.5975	0.551088	0.275544
t	0.000198533655196473	0.000456	0.4359	0.66358	0.33179

Multiple Linear Regression - Regression Statistics
Multiple R	0.481553903809642
R-squared	0.231894162274306
Adjusted R-squared	0.200542903591624
F-TEST (value)	7.39664600459582
F-TEST (DF numerator)	6
F-TEST (DF denominator)	147
p-value	6.26110125634405e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.240450840966108
Sum Squared Residuals	8.49904121743236

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.0341582426794786	-0.0341582426794786
2	0	-0.0297793019904562	0.0297793019904562
3	0	-0.0295807683352596	0.0295807683352596
4	0	-0.0293822346800632	0.0293822346800632
5	0	-0.0291837010248666	0.0291837010248666
6	0	9.45050920880784e-05	-9.45050920880784e-05
7	0	-0.0287866337144737	0.0287866337144737
8	0	0.0707118527554531	-0.0707118527554531
9	0	-0.0526032082443809	0.0526032082443809
10	0	-0.0391412653981833	0.0391412653981833
11	0	0.0603572210717435	-0.0603572210717435
12	0	-0.0277939654384913	0.0277939654384913
13	0	0.270876371692828	-0.270876371692828
14	0	0.0609528220373329	-0.0609528220373329
15	0	0.247059797162921	-0.247059797162921
16	0	0.346558283632848	-0.346558283632848
17	1	0.360020226479045	0.639979773520955
18	0	0.0617469566581188	-0.0617469566581188
19	0	-0.0506178716924161	0.0506178716924161
20	1	0.347352418253633	0.652647581746367
21	0	0.0272861517603353	-0.0272861517603353
22	0	0.237499300099997	-0.237499300099997
23	0	0.0144198098797271	-0.0144198098797271
24	0	0.00366811088562458	-0.00366811088562458
25	0	0.284101539578258	-0.284101539578258
26	0	0.273457309210382	-0.273457309210382
27	0	-0.0599798351001434	0.0599798351001434
28	0	0.209610829569418	-0.209610829569418
29	0	-0.0486325351404514	0.0486325351404514
30	0	0.0400231873064026	-0.0400231873064026
31	0	-0.0240218259897583	0.0240218259897583
32	0	-0.0347735249838609	0.0347735249838609
33	0	0.029668555622693	-0.029668555622693
34	0	0.0516600859502612	-0.0516600859502612
35	0	-0.0232276913689724	0.0232276913689724
36	0	-0.023029157713776	0.023029157713776
37	0	0.363990899582975	-0.363990899582975
38	0	0.187382524281082	-0.187382524281082
39	0	0.0175963483628707	-0.0175963483628707
40	0	0.141308476673098	-0.141308476673098
41	1	0.252221672198029	0.747778327801971
42	0	0.188176658901868	-0.188176658901868
43	0	0.00744025033435755	-0.00744025033435755
44	0	0.0669088316932271	-0.0669088316932271
45	0	0.0430011921343497	-0.0430011921343497
46	0	0.018986083949246	-0.018986083949246
47	0	-0.0208452875066148	0.0208452875066148
48	0	-0.0448603956917184	0.0448603956917184
49	0	0.0195816849148354	-0.0195816849148354
50	0	-0.0202496865410254	0.0202496865410254
51	0	0.313477056453667	-0.313477056453667
52	1	0.366968904410922	0.633031095589078
53	0	-0.0438677274157361	0.0438677274157361
54	1	0.214772704604526	0.785227295395474
55	0	-0.019257018265043	0.019257018265043
56	0	0.290256082889349	-0.290256082889349
57	0	0.255398210681173	-0.255398210681173
58	0	-0.0428750591397537	0.0428750591397537
59	0	-0.0426765254845572	0.0426765254845572
60	1	0.344343531812193	0.655656468187807
61	0	0.046070261991267	-0.046070261991267
62	0	0.280604520797455	-0.280604520797455
63	0	-0.0176687490234712	0.0176687490234712
64	0	0.0466658629568564	-0.0466658629568564
65	0	-0.0172716817130783	0.0172716817130783
66	0	-0.0170731480578818	0.0170731480578818
67	1	0.380897141888168	0.619102858111832
68	0	-0.0276263133967879	0.0276263133967879
69	0	-0.0406911889325925	0.0406911889325925
70	0	0.21794924308767	-0.21794924308767
71	0	-0.0160804797818994	0.0160804797818994
72	0	-0.0400955879670031	0.0400955879670031
73	0	0.194331202212959	-0.194331202212959
74	0	0.207793145059156	-0.207793145059156
75	0	-0.0394999870014137	0.0394999870014137
76	0	0.12424204641987	-0.12424204641987
77	0	-0.0391029196910207	0.0391029196910207
78	0	0.259567417440299	-0.259567417440299
79	1	0.294822356958868	0.705177643041132
80	0	0.149249822880956	-0.149249822880956
81	0	-0.0140951432299347	0.0140951432299347
82	0	0.185167772460428	-0.185167772460428
83	0	-0.0136980759195418	0.0136980759195418
84	1	0.22072871426042	0.77927128573958
85	0	0.0267288965019084	-0.0267288965019084
86	0	-0.0240527076032514	0.0240527076032514
87	0	-0.048067815788355	0.048067815788355
88	0	0.236008950798972	-0.236008950798972
89	0	-0.0125068739883629	0.0125068739883629
90	0	-0.0365219821734666	0.0365219821734666
91	0	0.0521337402733874	-0.0521337402733874
92	0	0.0267884707352926	-0.0267884707352926
93	0	0.0415805749344813	-0.0415805749344813
94	0	-0.0115142057123806	0.0115142057123806
95	0	0.0383343043501811	-0.0383343043501811
96	0	-0.0353307802422877	0.0353307802422877
97	0	0.027781139011275	-0.027781139011275
98	0	-0.0107200710915947	0.0107200710915947
99	0	-0.0214717700856972	0.0214717700856972
100	0	-0.0345366456215019	0.0345366456215019
101	0	-0.0452883446156044	0.0452883446156044
102	0	-0.00992593647080879	0.00992593647080879
103	0	-0.00972740281561231	0.00972740281561231
104	0	-0.00952886916041584	0.00952886916041584
105	0	0.274547897426911	-0.274547897426911
106	0	-0.0091318018500229	0.0091318018500229
107	0	-0.00893326819482642	0.00893326819482642
108	0	0.264193265743202	-0.264193265743202
109	0	-0.00853620088443348	0.00853620088443348
110	0	-0.019287899878536	0.019287899878536
111	0	0.329032413660148	-0.329032413660148
112	0	0.0417093764885211	-0.0417093764885211
113	0	0.226486190261118	-0.226486190261118
114	0	0.26538446767438	-0.26538446767438
115	0	-0.0182952316025537	0.0182952316025537
116	0	-0.00714646529805817	0.00714646529805817
117	0	-0.0421118061324608	0.0421118061324608
118	0	-0.0176996306369642	0.0176996306369642
119	0	-0.00655086433246875	0.00655086433246875
120	0	-0.0305659725175724	0.0305659725175724
121	0	-0.0171040296713748	0.0171040296713748
122	0	-0.00595526336687933	0.00595526336687933
123	0	0.267171270571149	-0.267171270571149
124	0	0.268699965579336	-0.268699965579336
125	0	-0.02957330424159	0.02957330424159
126	0	0.0444888476612717	-0.0444888476612717
127	0	0.0592809518604604	-0.0592809518604604
128	0	-0.0289777032760006	0.0289777032760006
129	0	-0.00456552778050403	0.00456552778050403
130	0	-0.0285806359656077	0.0285806359656077
131	0	-0.0151186931194101	0.0151186931194101
132	0	-0.0391338013045138	0.0391338013045138
133	0	0.219506630715748	-0.219506630715748
134	0	-0.00357285950452166	0.00357285950452166
135	0	-0.00337432584932519	0.00337432584932519
136	0	-0.00317579219412872	0.00317579219412872
137	0	0.260330670447592	-0.260330670447592
138	0	0.310179180510153	-0.310179180510153
139	0	0.0470697851788258	-0.0470697851788258
140	0	-0.00238165757334283	0.00238165757334283
141	1	0.207831490766319	0.792168509233681
142	0	0.257680000828881	-0.257680000828881
143	0	-0.0127362892570524	0.0127362892570524
144	0	0.0384423821585003	-0.0384423821585003
145	0	0.0628545576539969	-0.0628545576539969
146	0	0.024245878924901	-0.024245878924901
147	0	0.282886310945163	-0.282886310945163
148	0	0.0488565880755941	-0.0488565880755941
149	0	-0.0115450873258736	0.0115450873258736
150	0	0.0396335840896792	-0.0396335840896792
151	0	-0.0244114292064818	0.0244114292064818
152	1	0.223278770164481	0.776721229835519
153	1	0.287720850771035	0.712279149228965
154	0	0.223675837474874	-0.223675837474874

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
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	0.395078920253697	0.790157840507395	0.604921079746303
18	0.321701720607257	0.643403441214513	0.678298279392743
19	0.318057974224856	0.636115948449712	0.681942025775144
20	0.811623106947381	0.376753786105237	0.188376893052619
21	0.760169624174724	0.479660751650551	0.239830375825276
22	0.750058960229147	0.499882079541707	0.249941039770853
23	0.68673846691836	0.62652306616328	0.31326153308164
24	0.618821708908842	0.762356582182316	0.381178291091158
25	0.609563457209467	0.780873085581065	0.390436542790533
26	0.597706854353118	0.804586291293764	0.402293145646882
27	0.567011442238761	0.865977115522478	0.432988557761239
28	0.509631542705483	0.980736914589033	0.490368457294517
29	0.458881096343389	0.917762192686778	0.541118903656611
30	0.399571581365411	0.799143162730822	0.600428418634589
31	0.343347829086849	0.686695658173698	0.656652170913151
32	0.289756811645925	0.57951362329185	0.710243188354075
33	0.241235651525535	0.482471303051071	0.758764348474465
34	0.199875794100672	0.399751588201344	0.800124205899328
35	0.162170395936202	0.324340791872405	0.837829604063798
36	0.128908368823093	0.257816737646186	0.871091631176907
37	0.167562054138296	0.335124108276591	0.832437945861704
38	0.138978378066286	0.277956756132572	0.861021621933714
39	0.108873885937887	0.217747771875774	0.891126114062113
40	0.0953943177508165	0.190788635501633	0.904605682249183
41	0.561139927630257	0.877720144739486	0.438860072369743
42	0.527757125767544	0.944485748464912	0.472242874232456
43	0.473747474856411	0.947494949712821	0.526252525143589
44	0.42165608215316	0.843312164306319	0.57834391784684
45	0.371059748779758	0.742119497559516	0.628940251220242
46	0.32241746428045	0.644834928560901	0.67758253571955
47	0.278858792711197	0.557717585422394	0.721141207288803
48	0.237306424146456	0.474612848292911	0.762693575853544
49	0.199263716449939	0.398527432899878	0.800736283550061
50	0.165962989869358	0.331925979738716	0.834037010130642
51	0.172127730550845	0.34425546110169	0.827872269449155
52	0.439846389558689	0.879692779117378	0.560153610441311
53	0.391681421134052	0.783362842268104	0.608318578865948
54	0.795245710425251	0.409508579149499	0.204754289574749
55	0.758319726716564	0.483360546566871	0.241680273283436
56	0.780632141679042	0.438735716641917	0.219367858320958
57	0.788824503885363	0.422350992229274	0.211175496114637
58	0.751938075143022	0.496123849713955	0.248061924856978
59	0.711775338256494	0.576449323487013	0.288224661743506
60	0.889948796761332	0.220102406477337	0.110051203238668
61	0.869628835696008	0.260742328607983	0.130371164303992
62	0.884395611734953	0.231208776530094	0.115604388265047
63	0.858886087174929	0.282227825650142	0.141113912825071
64	0.834241844781366	0.331516310437268	0.165758155218634
65	0.802209618232887	0.395580763534226	0.197790381767113
66	0.766757133921597	0.466485732156807	0.233242866078403
67	0.92787476281086	0.14425047437828	0.0721252371891402
68	0.911196867260375	0.177606265479251	0.0888031327396253
69	0.890407144512804	0.219185710974392	0.109592855487196
70	0.890991450397529	0.218017099204942	0.109008549602471
71	0.866853706241707	0.266292587516585	0.133146293758293
72	0.839466617624613	0.321066764750774	0.160533382375387
73	0.834966762857148	0.330066474285704	0.165033237142852
74	0.831809539201442	0.336380921597115	0.168190460798558
75	0.800273937814007	0.399452124371986	0.199726062185993
76	0.785041891278727	0.429916217442545	0.214958108721273
77	0.74897120096152	0.502057598076961	0.25102879903848
78	0.761680938052735	0.47663812389453	0.238319061947265
79	0.977747318539643	0.0445053629207145	0.0222526814603573
80	0.980896519079112	0.0382069618417757	0.0191034809208879
81	0.974500762725912	0.0509984745481751	0.0254992372740876
82	0.97420561482852	0.0515887703429604	0.0257943851714802
83	0.966058930989066	0.0678821380218674	0.0339410690109337
84	0.998861922298132	0.00227615540373657	0.00113807770186829
85	0.998370737139908	0.00325852572018494	0.00162926286009247
86	0.997604280883727	0.00479143823254624	0.00239571911627312
87	0.996558663533198	0.00688267293360468	0.00344133646680234
88	0.995924292760084	0.00815141447983214	0.00407570723991607
89	0.994200228230704	0.0115995435385917	0.00579977176929583
90	0.991964624736118	0.0160707505277634	0.0080353752638817
91	0.989222503770686	0.0215549924586288	0.0107774962293144
92	0.987287125644878	0.0254257487102442	0.0127128743551221
93	0.983211779424879	0.0335764411502425	0.0167882205751213
94	0.977398118068189	0.045203763863623	0.0226018819318115
95	0.975062298527768	0.0498754029444645	0.0249377014722323
96	0.96762272781407	0.0647545443718592	0.0323772721859296
97	0.966248901425	0.0675021971500001	0.033751098575
98	0.956142929659917	0.0877141406801651	0.0438570703400825
99	0.943991074720658	0.112017850558683	0.0560089252793417
100	0.930287631404459	0.139424737191083	0.0697123685955413
101	0.915981558309938	0.168036883380124	0.0840184416900621
102	0.895716691983563	0.208566616032874	0.104283308016437
103	0.872123160356955	0.25575367928609	0.127876839643045
104	0.845083544055302	0.309832911889396	0.154916455944698
105	0.831180705563285	0.33763858887343	0.168819294436715
106	0.798246637858322	0.403506724283356	0.201753362141678
107	0.761824751369927	0.476350497260145	0.238175248630073
108	0.736937516146208	0.526124967707585	0.263062483853792
109	0.694430838109586	0.611138323780829	0.305569161890414
110	0.649806801916822	0.700386396166356	0.350193198083178
111	0.628275520159119	0.743448959681761	0.371724479840881
112	0.629817203815284	0.740365592369431	0.370182796184716
113	0.618193258012452	0.763613483975097	0.381806741987548
114	0.575843988457049	0.848312023085902	0.424156011542951
115	0.525182645484041	0.949634709031917	0.474817354515958
116	0.46973869192059	0.93947738384118	0.53026130807941
117	0.425915183820513	0.851830367641027	0.574084816179487
118	0.377855539995652	0.755711079991303	0.622144460004348
119	0.324828045997484	0.649656091994968	0.675171954002516
120	0.279105858175997	0.558211716351995	0.720894141824003
121	0.239439942599729	0.478879885199458	0.760560057400271
122	0.196440316287758	0.392880632575516	0.803559683712242
123	0.163593191029566	0.327186382059132	0.836406808970434
124	0.156351222311884	0.312702444623769	0.843648777688116
125	0.122691275807781	0.245382551615563	0.877308724192219
126	0.123206222238306	0.246412444476612	0.876793777761694
127	0.0965515714935125	0.193103142987025	0.903448428506488
128	0.0723396404327402	0.14467928086548	0.92766035956726
129	0.0524251868865023	0.104850373773005	0.947574813113498
130	0.0371746903347742	0.0743493806695485	0.962825309665226
131	0.0276068230288033	0.0552136460576066	0.972393176971197
132	0.0230488276311002	0.0460976552622003	0.9769511723689
133	0.0219714062566852	0.0439428125133705	0.978028593743315
134	0.0138551332251383	0.0277102664502767	0.986144866774862
135	0.0084025148980884	0.0168050297961768	0.991597485101912
136	0.00493614786282227	0.00987229572564455	0.995063852137178
137	0.00675738822475536	0.0135147764495107	0.993242611775245
138	0.00707270492780394	0.0141454098556079	0.992927295072196
139	0.00503589200973931	0.0100717840194786	0.994964107990261
140	0.00253612645499674	0.00507225290999348	0.997463873545003
141	0.0502290435157309	0.100458087031462	0.949770956484269
142	0.0300910494258153	0.0601820988516306	0.969908950574185
143	0.0147277668265611	0.0294555336531222	0.985272233173439
144	0.00655233286113752	0.013104665722275	0.993447667138862

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	14	0.103703703703704	NOK
5% type I error level	32	0.237037037037037	NOK
10% type I error level	41	0.303703703703704	NOK