Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.873143281826407 + 0.292012243119586Weeks[t] -0.00864318736817797UseLimit[t] -0.156530152221649T40[t] + 0.157197219341272T20[t] + 0.263764402248574Used[t] + 0.0403809769938889Useful[t] -0.0357073197745365Outcome[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)	-0.873143281826407	0.263274	-3.3165	0.00115	0.000575
Weeks	0.292012243119586	0.079092	3.6921	0.000314	0.000157
UseLimit	-0.00864318736817797	0.041496	-0.2083	0.835293	0.417646
T40	-0.156530152221649	0.058477	-2.6768	0.008284	0.004142
T20	0.157197219341272	0.0678	2.3185	0.021808	0.010904
Used	0.263764402248574	0.04481	5.8863	0	0
Useful	0.0403809769938889	0.045562	0.8863	0.376919	0.188459
Outcome	-0.0357073197745365	0.039538	-0.9031	0.367957	0.183979

Multiple Linear Regression - Regression Statistics
Multiple R	0.53293320401624
R-squared	0.284017799943016
Adjusted R-squared	0.249689886241653
F-TEST (value)	8.27366913159493
F-TEST (DF numerator)	7
F-TEST (DF denominator)	146
p-value	1.74130451169319e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.232942707861295
Sum Squared Residuals	7.92229655127988

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	0.0940250312875755	-0.0940250312875755
2	0	-0.0181546137913599	0.0181546137913599
3	0	-0.0181546137913597	0.0181546137913597
4	0	-0.0181546137913598	0.0181546137913598
5	0	-0.0181546137913596	0.0181546137913596
6	0	-0.0221241439401851	0.0221241439401851
7	0	-0.0181546137913597	0.0181546137913597
8	0	0.138375538430289	-0.138375538430289
9	0	-0.0538619335658962	0.0538619335658962
10	0	-0.0267978011595377	0.0267978011595377
11	0	0.129732351062111	-0.129732351062111
12	0	-0.0181546137913597	0.0181546137913597
13	0	0.285990765451103	-0.285990765451103
14	0	0.129732351062111	-0.129732351062111
15	0	0.250283445676567	-0.250283445676567
16	0	0.406813597898216	-0.406813597898216
17	1	0.433877730304574	0.566122269695426
18	0	0.129732351062111	-0.129732351062111
19	0	-0.0538619335658962	0.0538619335658962
20	1	0.406813597898216	0.593186402101784
21	0	0.0135831758343512	-0.0135831758343512
22	0	0.241640258308389	-0.241640258308389
23	0	-0.0134809565720073	0.0134809565720073
24	0	-0.0221241439401853	0.0221241439401853
25	0	0.366432620904327	-0.366432620904327
26	0	0.285990765451103	-0.285990765451103
27	0	-0.0625051209340742	0.0625051209340742
28	0	0.245609788457214	-0.245609788457214
29	0	-0.0538619335658962	0.0538619335658962
30	0	0.0222263632025292	-0.0222263632025292
31	0	-0.0181546137913597	0.0181546137913597
32	0	-0.0267978011595377	0.0267978011595377
33	0	0.0135831758343512	-0.0135831758343512
34	0	0.102668218655753	-0.102668218655753
35	0	-0.0181546137913597	0.0181546137913597
36	0	-0.0181546137913597	0.0181546137913597
37	0	0.433877730304574	-0.433877730304574
38	0	0.209902468682678	-0.209902468682678
39	0	-0.0134809565720073	0.0134809565720073
40	0	0.178756515424178	-0.178756515424178
41	1	0.250283445676567	0.749716554323433
42	0	0.209902468682678	-0.209902468682678
43	0	-0.0221241439401853	0.0221241439401853
44	0	0.129732351062111	-0.129732351062111
45	0	0.0222263632025292	-0.0222263632025292
46	0	-0.0134809565720073	0.0134809565720073
47	0	-0.0181546137913597	0.0181546137913597
48	0	-0.0538619335658962	0.0538619335658962
49	0	-0.0134809565720073	0.0134809565720073
50	0	-0.0181546137913597	0.0181546137913597
51	0	0.402139940678863	-0.402139940678863
52	1	0.433877730304574	0.566122269695426
53	0	-0.0538619335658962	0.0538619335658962
54	1	0.245609788457214	0.754390211542786
55	0	-0.0181546137913597	0.0181546137913597
56	0	0.366432620904327	-0.366432620904327
57	0	0.250283445676567	-0.250283445676567
58	0	-0.0538619335658962	0.0538619335658962
59	0	-0.0538619335658962	0.0538619335658962
60	1	0.398170410530038	0.601829589469962
61	0	0.094025031287575	-0.094025031287575
62	0	0.285990765451103	-0.285990765451103
63	0	-0.0181546137913597	0.0181546137913597
64	0	0.094025031287575	-0.094025031287575
65	0	-0.0181546137913597	0.0181546137913597
66	0	-0.0181546137913597	0.0181546137913597
67	1	0.442520917672752	0.557479082327248
68	0	-0.0267978011595377	0.0267978011595377
69	0	-0.0538619335658962	0.0538619335658962
70	0	0.245609788457214	-0.245609788457214
71	0	-0.0181546137913597	0.0181546137913597
72	0	-0.0538619335658962	0.0538619335658962
73	0	0.209902468682678	-0.209902468682678
74	0	0.236966601089036	-0.236966601089036
75	0	-0.0538619335658962	0.0538619335658962
76	0	0.143049195649642	-0.143049195649642
77	0	-0.0538619335658962	0.0538619335658962
78	0	0.250283445676567	-0.250283445676567
79	1	0.366432620904327	0.633567379095673
80	0	0.178756515424178	-0.178756515424178
81	0	-0.0181546137913597	0.0181546137913597
82	0	0.2012592813145	-0.2012592813145
83	0	-0.0181546137913597	0.0181546137913597
84	1	0.245609788457214	0.754390211542786
85	0	-0.0134809565720073	0.0134809565720073
86	0	-0.0267978011595377	0.0267978011595377
87	0	-0.019074864047406	0.019074864047406
88	0	0.0874923188598963	-0.0874923188598963
89	0	0.0252756430953085	-0.0252756430953085
90	0	-0.010431676679228	0.010431676679228
91	0	0.0656566200891974	-0.0656566200891974
92	0	-0.140564763614141	0.140564763614141
93	0	0.0570134327210194	-0.0570134327210194
94	0	0.0252756430953085	-0.0252756430953085
95	0	-0.131921576245963	0.131921576245963
96	0	-0.010431676679228	0.010431676679228
97	0	-0.140564763614141	0.140564763614141
98	0	0.0252756430953085	-0.0252756430953085
99	0	0.0166324557271305	-0.0166324557271305
100	0	-0.010431676679228	0.010431676679228
101	0	-0.019074864047406	0.019074864047406
102	0	0.0252756430953085	-0.0252756430953085
103	0	0.0252756430953085	-0.0252756430953085
104	0	0.0252756430953085	-0.0252756430953085
105	0	0.131842826002611	-0.131842826002611
106	0	0.0252756430953085	-0.0252756430953085
107	0	0.0252756430953085	-0.0252756430953085
108	0	0.123199638634433	-0.123199638634433
109	0	0.0252756430953085	-0.0252756430953085
110	0	0.0166324557271305	-0.0166324557271305
111	0	0.163580615628322	-0.163580615628322
112	0	-0.131921576245963	0.131921576245963
113	0	0.289040045343882	-0.289040045343882
114	0	0.123199638634433	-0.123199638634433
115	0	0.0166324557271305	-0.0166324557271305
116	0	0.0252756430953085	-0.0252756430953085
117	0	-0.019074864047406	0.019074864047406
118	0	0.0166324557271305	-0.0166324557271305
119	0	0.0252756430953085	-0.0252756430953085
120	0	-0.010431676679228	0.010431676679228
121	0	0.0166324557271305	-0.0166324557271305
122	0	0.0252756430953085	-0.0252756430953085
123	0	0.123199638634433	-0.123199638634433
124	0	0.293713702563235	-0.293713702563235
125	0	-0.010431676679228	0.010431676679228
126	0	-0.131921576245963	0.131921576245963
127	0	0.0656566200891974	-0.0656566200891974
128	0	-0.010431676679228	0.010431676679228
129	0	0.0252756430953085	-0.0252756430953085
130	0	-0.010431676679228	0.010431676679228
131	0	0.0166324557271305	-0.0166324557271305
132	0	-0.019074864047406	0.019074864047406
133	0	0.280396857975704	-0.280396857975704
134	0	0.0252756430953085	-0.0252756430953085
135	0	0.0252756430953085	-0.0252756430953085
136	0	0.0252756430953085	-0.0252756430953085
137	0	0.285070515195057	-0.285070515195057
138	0	0.127873295853785	-0.127873295853785
139	0	-0.131921576245963	0.131921576245963
140	0	0.0252756430953085	-0.0252756430953085
141	1	0.253332725569346	0.746667274430654
142	0	0.0961355062280743	-0.0961355062280743
143	0	0.0166324557271305	-0.0166324557271305
144	0	0.0299493003146609	-0.0299493003146609
145	0	0.0656566200891974	-0.0656566200891974
146	0	-0.1676288960205	0.1676288960205
147	0	0.131842826002611	-0.131842826002611
148	0	-0.131921576245963	0.131921576245963
149	0	0.0166324557271305	-0.0166324557271305
150	0	0.0299493003146609	-0.0299493003146609
151	0	-0.010431676679228	0.010431676679228
152	1	0.280396857975704	0.719603142024296
153	1	0.320777834969593	0.679222165030407
154	0	0.280396857975704	-0.280396857975704

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
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	0.552333381548951	0.895333236902098	0.447666618451049
18	0.498808433646321	0.997616867292642	0.501191566353679
19	0.459033864114811	0.918067728229621	0.540966135885189
20	0.898256713375302	0.203486573249395	0.101743286624698
21	0.858304443022268	0.283391113955464	0.141695556977732
22	0.847336598349764	0.305326803300471	0.152663401650235
23	0.797602175492696	0.404795649014609	0.202397824507304
24	0.741548523781277	0.516902952437446	0.258451476218723
25	0.744544450955449	0.510911098089102	0.255455549044551
26	0.746603618889846	0.506792762220307	0.253396381110154
27	0.709123754864895	0.58175249027021	0.290876245135105
28	0.661619310863189	0.676761378273622	0.338380689136811
29	0.610346232840183	0.779307534319634	0.389653767159817
30	0.552527673486854	0.894944653026292	0.447472326513146
31	0.491098876009823	0.982197752019647	0.508901123990177
32	0.430811172876248	0.861622345752496	0.569188827123752
33	0.373062517470081	0.746125034940162	0.626937482529919
34	0.325647787432565	0.65129557486513	0.674352212567435
35	0.274157524269002	0.548315048538004	0.725842475730998
36	0.227128034335945	0.45425606867189	0.772871965664055
37	0.307868708679627	0.615737417359254	0.692131291320373
38	0.268694601463672	0.537389202927344	0.731305398536328
39	0.222809477758687	0.445618955517373	0.777190522241313
40	0.2155302899344	0.431060579868801	0.7844697100656
41	0.756908679484667	0.486182641030665	0.243091320515333
42	0.732520223083432	0.534959553833136	0.267479776916568
43	0.687191520364143	0.625616959271715	0.312808479635857
44	0.651796463234909	0.696407073530182	0.348203536765091
45	0.602067714122892	0.795864571754216	0.397932285877108
46	0.551644323223899	0.896711353552202	0.448355676776101
47	0.500176134395289	0.999647731209423	0.499823865604711
48	0.44886547448748	0.897730948974959	0.55113452551252
49	0.39914078168709	0.798281563374179	0.60085921831291
50	0.350586815141692	0.701173630283384	0.649413184858308
51	0.430176354235219	0.860352708470439	0.569823645764781
52	0.701042666320883	0.597914667358234	0.298957333679117
53	0.65932316329565	0.681353673408701	0.34067683670435
54	0.947530437933819	0.104939124132362	0.0524695620661808
55	0.932801092677426	0.134397814645148	0.0671989073225742
56	0.96120145078354	0.0775970984329206	0.0387985492164603
57	0.960845389780172	0.078309220439656	0.039154610219828
58	0.950410315354791	0.0991793692904182	0.0495896846452091
59	0.937846932671828	0.124306134656343	0.0621530673281716
60	0.9823656070632	0.0352687858735993	0.0176343929367997
61	0.979665786133869	0.0406684277322615	0.0203342138661307
62	0.981226856345451	0.0375462873090974	0.0187731436545487
63	0.975030489148026	0.0499390217039486	0.0249695108519743
64	0.973969686813229	0.052060626373541	0.0260303131867705
65	0.965879883214941	0.0682402335701181	0.034120116785059
66	0.955821291196384	0.0883574176072314	0.0441787088036157
67	0.983513346439145	0.03297330712171	0.016486653560855
68	0.97794955098473	0.0441008980305395	0.0220504490152698
69	0.971395324034238	0.0572093519315237	0.0286046759657619
70	0.972183727963416	0.055632544073167	0.0278162720365835
71	0.963655902202468	0.0726881955950633	0.0363440977975316
72	0.953700220956976	0.0925995580860482	0.0462997790430241
73	0.95323156501614	0.0935368699677207	0.0467684349838603
74	0.95640506558238	0.0871898688352398	0.0435949344176199
75	0.944798396181572	0.110403207636855	0.0552016038184275
76	0.94287920581373	0.114241588372541	0.0571207941862703
77	0.928620134720746	0.142759730558508	0.0713798652792542
78	0.934683843354224	0.130632313291551	0.0653161566457755
79	0.98397019525787	0.0320596094842602	0.0160298047421301
80	0.980056335857444	0.039887328285112	0.019943664142556
81	0.974638296838749	0.0507234063225025	0.0253617031612513
82	0.980636759762909	0.0387264804741819	0.0193632402370909
83	0.978785876965473	0.0424282460690539	0.021214123034527
84	0.998079754802513	0.00384049039497375	0.00192024519748688
85	0.997172081654945	0.00565583669011056	0.00282791834505528
86	0.995891811733414	0.00821637653317247	0.00410818826658623
87	0.994102086678788	0.0117958266424246	0.0058979133212123
88	0.992075843120401	0.0158483137591976	0.00792415687959878
89	0.988956454828528	0.0220870903429441	0.0110435451714721
90	0.984746833177256	0.0305063336454887	0.0152531668227443
91	0.979411245406368	0.0411775091872639	0.0205887545936319
92	0.974927970249129	0.0501440595017426	0.0250720297508713
93	0.966679786832657	0.0666404263346866	0.0333202131673433
94	0.956189482160448	0.0876210356791043	0.0438105178395522
95	0.946863557572919	0.106272884854161	0.0531364424270806
96	0.931700548180495	0.136598903639009	0.0682994518195047
97	0.919723852434711	0.160552295130579	0.0802761475652893
98	0.898907058189711	0.202185883620578	0.101092941810289
99	0.874114638817772	0.251770722364456	0.125885361182228
100	0.845532668039435	0.308934663921131	0.154467331960565
101	0.812744686783695	0.374510626432611	0.187255313216305
102	0.775885749112763	0.448228501774475	0.224114250887237
103	0.735083372006826	0.529833255986348	0.264916627993174
104	0.69066247862497	0.61867504275006	0.30933752137503
105	0.660452053087156	0.679095893825687	0.339547946912844
106	0.611154250082886	0.777691499834227	0.388845749917114
107	0.559849239797242	0.880301520405516	0.440150760202758
108	0.520675336939178	0.958649326121643	0.479324663060822
109	0.467584924552802	0.935169849105603	0.532415075447198
110	0.413845311089492	0.827690622178985	0.586154688910508
111	0.376125772405205	0.75225154481041	0.623874227594795
112	0.33980212667668	0.679604253353359	0.66019787332332
113	0.387109111011123	0.774218222022247	0.612890888988877
114	0.351236885871427	0.702473771742854	0.648763114128573
115	0.299993672806924	0.599987345613849	0.700006327193076
116	0.25413145276143	0.508262905522859	0.74586854723857
117	0.210675872163954	0.421351744327908	0.789324127836046
118	0.171033070479226	0.342066140958452	0.828966929520774
119	0.137984548283166	0.275969096566333	0.862015451716834
120	0.107935861889446	0.215871723778893	0.892064138110554
121	0.0826669412912892	0.165333882582578	0.917333058708711
122	0.0631268738998776	0.126253747799755	0.936873126100122
123	0.0527508145530035	0.105501629106007	0.947249185446996
124	0.0674250306116107	0.134850061223221	0.932574969388389
125	0.0492769258926627	0.0985538517853254	0.950723074107337
126	0.0392307560325524	0.0784615120651047	0.960769243967448
127	0.027806938309325	0.05561387661865	0.972193061690675
128	0.0189054148298351	0.0378108296596702	0.981094585170165
129	0.0128448348486576	0.0256896696973153	0.987155165151342
130	0.00826403147321498	0.01652806294643	0.991735968526785
131	0.00506264977319264	0.0101252995463853	0.994937350226807
132	0.00306728507109609	0.00613457014219217	0.996932714928904
133	0.00608031202268172	0.0121606240453634	0.993919687977318
134	0.00384726056793034	0.00769452113586068	0.99615273943207
135	0.00243070075482986	0.00486140150965972	0.99756929924517
136	0.00157596998362879	0.00315193996725757	0.998424030016371
137	0.00287869840509714	0.00575739681019427	0.997121301594903
138	0.00231375790808838	0.00462751581617675	0.997686242091912
139	0.00180326805936054	0.00360653611872109	0.998196731940639
140	0.000814415838473431	0.00162883167694686	0.999185584161527
141	0.0126092641310792	0.0252185282621584	0.987390735868921
142	0.00937833368108185	0.0187566673621637	0.990621666318918
143	0.00435469477619353	0.00870938955238705	0.995645305223806

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	18	0.135338345864662	NOK
5% type I error level	40	0.300751879699248	NOK
10% type I error level	59	0.443609022556391	NOK