Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.0366336135269343 + 0.0178246820564339Weeks[t] + 0.00277377890911438UseLimit[t] -0.0236978861106208Treatment[t] + 0.245490525231033Used[t] + 0.0568322838048908Useful[t] -0.0283376738390545Outcome[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)	-0.0366336135269343	0.079782	-0.4592	0.646791	0.323396
Weeks	0.0178246820564339	0.020411	0.8733	0.383926	0.191963
UseLimit	0.00277377890911438	0.043003	0.0645	0.948658	0.474329
Treatment	-0.0236978861106208	0.046967	-0.5046	0.61462	0.30731
Used	0.245490525231033	0.046272	5.3054	0	0
Useful	0.0568322838048908	0.047115	1.2063	0.229657	0.114828
Outcome	-0.0283376738390545	0.04104	-0.6905	0.490974	0.245487

Multiple Linear Regression - Regression Statistics
Multiple R	0.470329629470378
R-squared	0.221209960357743
Adjusted R-squared	0.189422611800916
F-TEST (value)	6.95905668138006
F-TEST (DF numerator)	6
F-TEST (DF denominator)	147
p-value	1.58141951145385e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.242117377755689
Sum Squared Residuals	8.61726121785978

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.00910121976886096	-0.00910121976886096
2	0	0.0109672285881802	-0.0109672285881802
3	0	0.0109672285881802	-0.0109672285881802
4	0	0.0109672285881803	-0.0109672285881803
5	0	0.0109672285881805	-0.0109672285881805
6	0	0.042235617463131	-0.042235617463131
7	0	0.0109672285881803	-0.0109672285881803
8	0	0.0346651146988011	-0.0346651146988011
9	0	-0.0173704452508742	0.0173704452508742
10	0	0.0137410074972947	-0.0137410074972947
11	0	0.0374388936079154	-0.0374388936079154
12	0	0.0109672285881803	-0.0109672285881803
13	0	0.313290037624104	-0.313290037624104
14	0	0.0374388936079154	-0.0374388936079154
15	0	0.28495236378505	-0.28495236378505
16	0	0.308650249895671	-0.308650249895671
17	1	0.33976170264384	0.66023829735616
18	0	0.0374388936079154	-0.0374388936079154
19	0	-0.0173704452508742	0.0173704452508742
20	1	0.30865024989567	0.69134975010433
21	0	0.0705732913021855	-0.0705732913021855
22	0	0.287726142694164	-0.287726142694164
23	0	0.0394618385540166	-0.0394618385540166
24	0	0.042235617463131	-0.042235617463131
25	0	0.25181796609078	-0.25181796609078
26	0	0.313290037624104	-0.313290037624104
27	0	-0.0145966663417599	0.0145966663417599
28	0	0.256457753819213	-0.256457753819213
29	0	-0.0173704452508742	0.0173704452508742
30	0	0.0677995123930711	-0.0677995123930711
31	0	0.0109672285881803	-0.0109672285881803
32	0	0.0137410074972947	-0.0137410074972947
33	0	0.0705732913021855	-0.0705732913021855
34	0	0.00632744085974653	-0.00632744085974653
35	0	0.0109672285881803	-0.0109672285881803
36	0	0.0109672285881803	-0.0109672285881803
37	0	0.339761702643839	-0.339761702643839
38	0	0.228120079980159	-0.228120079980159
39	0	0.0394618385540166	-0.0394618385540166
40	0	0.0914973985036919	-0.0914973985036919
41	1	0.28495236378505	0.71504763621495
42	0	0.228120079980159	-0.228120079980159
43	0	0.042235617463131	-0.042235617463131
44	0	0.0374388936079154	-0.0374388936079154
45	0	0.0677995123930711	-0.0677995123930711
46	0	0.0394618385540166	-0.0394618385540166
47	0	0.0109672285881803	-0.0109672285881803
48	0	-0.0173704452508742	0.0173704452508742
49	0	0.0394618385540166	-0.0394618385540166
50	0	0.0109672285881803	-0.0109672285881803
51	0	0.280155639929834	-0.280155639929834
52	1	0.33976170264384	0.66023829735616
53	0	-0.0173704452508742	0.0173704452508742
54	1	0.256457753819213	0.743542246180787
55	0	0.0109672285881803	-0.0109672285881803
56	0	0.25181796609078	-0.25181796609078
57	0	0.28495236378505	-0.28495236378505
58	0	-0.0173704452508742	0.0173704452508742
59	0	-0.0173704452508742	0.0173704452508742
60	1	0.311424028804785	0.688575971195215
61	0	0.00910121976886091	-0.00910121976886091
62	0	0.313290037624104	-0.313290037624104
63	0	0.0109672285881803	-0.0109672285881803
64	0	0.00910121976886091	-0.00910121976886091
65	0	0.0109672285881803	-0.0109672285881803
66	0	0.0109672285881803	-0.0109672285881803
67	1	0.336987923734725	0.663012076265275
68	0	0.0137410074972947	-0.0137410074972947
69	0	-0.0173704452508742	0.0173704452508742
70	0	0.256457753819213	-0.256457753819213
71	0	0.0109672285881803	-0.0109672285881803
72	0	-0.0173704452508742	0.0173704452508742
73	0	0.228120079980159	-0.228120079980159
74	0	0.259231532728328	-0.259231532728328
75	0	-0.0173704452508742	0.0173704452508742
76	0	0.0631597246646374	-0.0631597246646374
77	0	-0.0173704452508742	0.0173704452508742
78	0	0.28495236378505	-0.28495236378505
79	1	0.25181796609078	0.74818203390922
80	0	0.0914973985036919	-0.0914973985036919
81	0	0.0109672285881803	-0.0109672285881803
82	0	0.230893858889273	-0.230893858889273
83	0	0.0109672285881803	-0.0109672285881803
84	1	0.256457753819213	0.743542246180787
85	0	0.0394618385540166	-0.0394618385540166
86	0	0.0137410074972947	-0.0137410074972947
87	0	-0.0502460304546276	0.0502460304546276
88	0	0.218942380887026	-0.218942380887026
89	0	-0.0246821355246874	0.0246821355246874
90	0	-0.053019809363742	0.053019809363742
91	0	0.0321501482802034	-0.0321501482802034
92	0	0.00178952949504773	-0.00178952949504773
93	0	0.0349239271893178	-0.0349239271893178
94	0	-0.0246821355246874	0.0246821355246874
95	0	-0.000984249414066643	0.000984249414066643
96	0	-0.053019809363742	0.053019809363742
97	0	0.00178952949504773	-0.00178952949504773
98	0	-0.0246821355246874	0.0246821355246874
99	0	-0.021908356615573	0.021908356615573
100	0	-0.053019809363742	0.053019809363742
101	0	-0.0502460304546276	0.0502460304546276
102	0	-0.0246821355246874	0.0246821355246874
103	0	-0.0246821355246874	0.0246821355246874
104	0	-0.0246821355246874	0.0246821355246874
105	0	0.244506275816967	-0.244506275816967
106	0	-0.0246821355246874	0.0246821355246874
107	0	-0.0246821355246874	0.0246821355246874
108	0	0.247280054726081	-0.247280054726081
109	0	-0.0246821355246874	0.0246821355246874
110	0	-0.021908356615573	0.021908356615573
111	0	0.304112338530972	-0.304112338530972
112	0	-0.000984249414066643	0.000984249414066643
113	0	0.220808389706346	-0.220808389706346
114	0	0.247280054726081	-0.247280054726081
115	0	-0.021908356615573	0.021908356615573
116	0	-0.0246821355246874	0.0246821355246874
117	0	-0.0502460304546276	0.0502460304546276
118	0	-0.021908356615573	0.021908356615573
119	0	-0.0246821355246874	0.0246821355246874
120	0	-0.053019809363742	0.053019809363742
121	0	-0.021908356615573	0.021908356615573
122	0	-0.0246821355246874	0.0246821355246874
123	0	0.247280054726081	-0.247280054726081
124	0	0.249302999672182	-0.249302999672182
125	0	-0.053019809363742	0.053019809363742
126	0	-0.000984249414066643	0.000984249414066643
127	0	0.0321501482802034	-0.0321501482802034
128	0	-0.053019809363742	0.053019809363742
129	0	-0.0246821355246874	0.0246821355246874
130	0	-0.053019809363742	0.053019809363742
131	0	-0.021908356615573	0.021908356615573
132	0	-0.0502460304546276	0.0502460304546276
133	0	0.22358216861546	-0.22358216861546
134	0	-0.0246821355246874	0.0246821355246874
135	0	-0.0246821355246874	0.0246821355246874
136	0	-0.0246821355246874	0.0246821355246874
137	0	0.252076778581296	-0.252076778581296
138	0	0.275774664691917	-0.275774664691917
139	0	-0.000984249414066643	0.000984249414066643
140	0	-0.0246821355246874	0.0246821355246874
141	1	0.192470715867291	0.807529284132709
142	0	0.216168601977912	-0.216168601977912
143	0	-0.021908356615573	0.021908356615573
144	0	0.00381247444114888	-0.00381247444114888
145	0	0.0321501482802034	-0.0321501482802034
146	0	-0.0293219232531212	0.0293219232531212
147	0	0.244506275816967	-0.244506275816967
148	0	-0.000984249414066643	0.000984249414066643
149	0	-0.021908356615573	0.021908356615573
150	0	0.00381247444114888	-0.00381247444114888
151	0	-0.053019809363742	0.053019809363742
152	1	0.22358216861546	0.77641783138454
153	1	0.280414452420351	0.719585547579649
154	0	0.22358216861546	-0.22358216861546

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	0.395288480363496	0.790576960726992	0.604711519636504
18	0.344539865454249	0.689079730908498	0.655460134545751
19	0.309787638613661	0.619575277227322	0.690212361386339
20	0.819097174084816	0.361805651830367	0.180902825915184
21	0.763505717057046	0.472988565885909	0.236494282942954
22	0.751676141832093	0.496647716335813	0.248323858167907
23	0.688417830025197	0.623164339949607	0.311582169974803
24	0.621692346418599	0.756615307162801	0.378307653581401
25	0.610971375734785	0.77805724853043	0.389028624265215
26	0.616136703741179	0.767726592517641	0.383863296258821
27	0.57221386822945	0.855572263541101	0.427786131770551
28	0.519769925096526	0.960460149806948	0.480230074903474
29	0.465429530184214	0.930859060368428	0.534570469815786
30	0.408770846793668	0.817541693587337	0.591229153206332
31	0.350675373509581	0.701350747019162	0.649324626490419
32	0.296531092375483	0.593062184750965	0.703468907624517
33	0.24850718465543	0.49701436931086	0.75149281534457
34	0.207996693511563	0.415993387023127	0.792003306488437
35	0.168464295870797	0.336928591741594	0.831535704129203
36	0.134188756275919	0.268377512551839	0.865811243724081
37	0.177833286076407	0.355666572152815	0.822166713923593
38	0.150187851320215	0.300375702640431	0.849812148679785
39	0.119329463912896	0.238658927825793	0.880670536087104
40	0.109190067611032	0.218380135222064	0.890809932388968
41	0.560072792592654	0.879854414814692	0.439927207407346
42	0.532278331684538	0.935443336630925	0.467721668315462
43	0.479694505392437	0.959389010784875	0.520305494607563
44	0.426651354334678	0.853302708669356	0.573348645665322
45	0.378394543333702	0.756789086667403	0.621605456666298
46	0.33108310206556	0.66216620413112	0.66891689793444
47	0.286320044492607	0.572640088985214	0.713679955507393
48	0.243554893099968	0.487109786199936	0.756445106900032
49	0.206127469754818	0.412254939509636	0.793872530245182
50	0.172206421489786	0.344412842979572	0.827793578510214
51	0.17491051772298	0.349821035445961	0.82508948227702
52	0.45390503186043	0.90781006372086	0.54609496813957
53	0.407376058938497	0.814752117876994	0.592623941061503
54	0.810321290320765	0.37935741935847	0.189678709679235
55	0.775153647093419	0.449692705813162	0.224846352906581
56	0.777325830436245	0.445348339127509	0.222674169563755
57	0.788230002626552	0.423539994746896	0.211769997373448
58	0.753657298829888	0.492685402340223	0.246342701170112
59	0.716083070175045	0.567833859649911	0.283916929824955
60	0.910167142545967	0.179665714908066	0.0898328574540331
61	0.889661396630213	0.220677206739574	0.110338603369787
62	0.903177471889966	0.193645056220068	0.0968225281100338
63	0.882149004089158	0.235701991821684	0.117850995910842
64	0.858413701649086	0.283172596701829	0.141586298350914
65	0.831380898717633	0.337238202564733	0.168619101282367
66	0.801442369266496	0.397115261467008	0.198557630733504
67	0.948151400461935	0.10369719907613	0.051848599538065
68	0.934090304730194	0.131819390539611	0.0659096952698056
69	0.918632940462798	0.162734119074403	0.0813670595372017
70	0.922778426931348	0.154443146137304	0.0772215730686521
71	0.905365184791293	0.189269630417414	0.0946348152087071
72	0.885542345623244	0.228915308753512	0.114457654376756
73	0.891063259046511	0.217873481906978	0.108936740953489
74	0.901780101022639	0.196439797954723	0.0982198989773614
75	0.883794449855513	0.232411100288975	0.116205550144487
76	0.866270446850862	0.267459106298275	0.133729553149138
77	0.844881530468146	0.310236939063708	0.155118469531854
78	0.875426884216852	0.249146231566297	0.124573115783149
79	0.984459181518242	0.0310816369635152	0.0155408184817576
80	0.981015382862539	0.0379692342749217	0.0189846171374609
81	0.975873601455436	0.0482527970891286	0.0241263985445643
82	0.981737456036731	0.0365250879265384	0.0182625439632692
83	0.980049789180671	0.0399004216386579	0.019950210819329
84	0.998275793611137	0.00344841277772586	0.00172420638886293
85	0.997458350012566	0.0050832999748685	0.00254164998743425
86	0.996303487970519	0.00739302405896203	0.00369651202948102
87	0.99468597147544	0.010628057049119	0.0053140285245595
88	0.993973848185502	0.012052303628995	0.00602615181449751
89	0.991732972622261	0.0165340547554772	0.00826702737773862
90	0.988770724820582	0.0224585503588355	0.0112292751794178
91	0.984512310458308	0.0309753790833832	0.0154876895416916
92	0.980250088845181	0.0394998223096374	0.0197499111548187
93	0.973389899581289	0.0532202008374214	0.0266101004187107
94	0.964904261724695	0.0701914765506096	0.0350957382753048
95	0.957036171734649	0.0859276565307021	0.042963828265351
96	0.944970718078613	0.110058563842774	0.055029281921387
97	0.934805147853839	0.130389704292322	0.0651948521461609
98	0.917397867444397	0.165204265111205	0.0826021325556026
99	0.896614008122328	0.206771983755344	0.103385991877672
100	0.872672557026911	0.254654885946177	0.127327442973089
101	0.845053020641417	0.309893958717166	0.154946979358583
102	0.812587162358668	0.374825675282665	0.187412837641332
103	0.776068623423216	0.447862753153568	0.223931376576784
104	0.735656144586036	0.528687710827927	0.264343855413964
105	0.724026706596048	0.551946586807903	0.275973293403952
106	0.679325348144787	0.641349303710427	0.320674651855213
107	0.631663471673394	0.736673056653213	0.368336528326606
108	0.609223589245851	0.781552821508297	0.390776410754149
109	0.55827853110223	0.88344293779554	0.44172146889777
110	0.505475347359037	0.989049305281926	0.494524652640963
111	0.485875284751769	0.971750569503538	0.514124715248231
112	0.443564535498645	0.88712907099729	0.556435464501355
113	0.485501291097361	0.971002582194723	0.514498708902639
114	0.457325599062053	0.914651198124106	0.542674400937947
115	0.403485309606878	0.806970619213757	0.596514690393122
116	0.35266837078359	0.705336741567181	0.64733162921641
117	0.303379879072839	0.606759758145678	0.696620120927161
118	0.25574273837043	0.51148547674086	0.74425726162957
119	0.21390105345768	0.42780210691536	0.78609894654232
120	0.17430715199102	0.348614303982039	0.82569284800898
121	0.139330173293528	0.278660346587057	0.860669826706472
122	0.110774749540573	0.221549499081145	0.889225250459427
123	0.098721041622099	0.197442083244198	0.901278958377901
124	0.11898366668324	0.23796733336648	0.88101633331676
125	0.0912716852757557	0.182543370551511	0.908728314724244
126	0.0738980125419355	0.147796025083871	0.926101987458064
127	0.054661547892143	0.109323095784286	0.945338452107857
128	0.0391907512392224	0.0783815024784448	0.960809248760778
129	0.0280141298860023	0.0560282597720047	0.971985870113998
130	0.0190824655799539	0.0381649311599078	0.980917534420046
131	0.0124460940925142	0.0248921881850284	0.987553905907486
132	0.00803670415302183	0.0160734083060437	0.991963295846978
133	0.0144648480399622	0.0289296960799245	0.985535151960038
134	0.00969764014533283	0.0193952802906657	0.990302359854667
135	0.00649451763726867	0.0129890352745373	0.993505482362731
136	0.00445604511798787	0.00891209023597574	0.995543954882012
137	0.00762031667448413	0.0152406333489683	0.992379683325516
138	0.00671553479352006	0.0134310695870401	0.99328446520648
139	0.00541770549685669	0.0108354109937134	0.994582294503143
140	0.00273159106059599	0.00546318212119198	0.997268408939404
141	0.0330312663456617	0.0660625326913233	0.966968733654338
142	0.0274519483699894	0.0549038967399788	0.972548051630011
143	0.0151369268681519	0.0302738537363037	0.984863073131848
144	0.00720352977446077	0.0144070595489215	0.992796470225539

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	12	0.0888888888888889	NOK
5% type I error level	34	0.251851851851852	NOK
10% type I error level	41	0.303703703703704	NOK