Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = -0.0163556813602342 + 0.00013354621614511UseLimit[t] + 0.258835467258712Used[t] + 0.066602904788088Useful[t] -0.0233600804682653Outcome[t] + 0.0305636745937129T20[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)	-0.0163556813602342	0.035844	-0.4563	0.648837	0.324419
UseLimit	0.00013354621614511	0.042117	0.0032	0.997474	0.498737
Used	0.258835467258712	0.045385	5.7031	0	0
Useful	0.066602904788088	0.046403	1.4353	0.153306	0.076653
Outcome	-0.0233600804682653	0.040732	-0.5735	0.567176	0.283588
T20	0.0305636745937129	0.042677	0.7162	0.475024	0.237512

Multiple Linear Regression - Regression Statistics
Multiple R	0.467322159936702
R-squared	0.218390001167904
Adjusted R-squared	0.191984257964117
F-TEST (value)	8.27054930749244
F-TEST (DF numerator)	5
F-TEST (DF denominator)	148
p-value	6.48524731028388e-07
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.241734496458927
Sum Squared Residuals	8.64846388318111

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	-0.0395822156123544	0.0395822156123544
2	0	-0.0163556813602342	0.0163556813602342
3	0	-0.0163556813602346	0.0163556813602346
4	0	-0.0163556813602342	0.0163556813602342
5	0	-0.0163556813602343	0.0163556813602343
6	0	0.0270206891757336	-0.0270206891757336
7	0	-0.0163556813602342	0.0163556813602342
8	0	-0.0163556813602342	0.0163556813602342
9	0	-0.0397157618284995	0.0397157618284995
10	0	-0.0162221351440892	0.0162221351440892
11	0	-0.0162221351440892	0.0162221351440892
12	0	-0.0163556813602342	0.0163556813602342
13	0	0.309082690686566	-0.309082690686566
14	0	-0.0162221351440892	0.0162221351440892
15	0	0.2857226102183	-0.2857226102183
16	0	0.2857226102183	-0.2857226102183
17	1	0.309216236902711	0.690783763097289
18	0	-0.0162221351440892	0.0162221351440892
19	0	-0.0397157618284995	0.0397157618284995
20	1	0.2857226102183	0.7142773897817
21	0	0.0503807696439989	-0.0503807696439989
22	0	0.285856156434446	-0.285856156434446
23	0	0.0268871429595885	-0.0268871429595885
24	0	0.0270206891757335	-0.0270206891757335
25	0	0.219119705430212	-0.219119705430212
26	0	0.309082690686566	-0.309082690686566
27	0	-0.0395822156123545	0.0395822156123545
28	0	0.242479785898478	-0.242479785898478
29	0	-0.0397157618284995	0.0397157618284995
30	0	0.0502472234278538	-0.0502472234278538
31	0	-0.0163556813602342	0.0163556813602342
32	0	-0.0162221351440892	0.0162221351440892
33	0	0.0503807696439989	-0.0503807696439989
34	0	-0.0397157618284995	0.0397157618284995
35	0	-0.0163556813602342	0.0163556813602342
36	0	-0.0163556813602342	0.0163556813602342
37	0	0.309216236902711	-0.309216236902711
38	0	0.219119705430212	-0.219119705430212
39	0	0.0268871429595885	-0.0268871429595885
40	0	0.0502472234278538	-0.0502472234278538
41	1	0.2857226102183	0.7142773897817
42	0	0.219119705430212	-0.219119705430212
43	0	0.0270206891757335	-0.0270206891757335
44	0	-0.0162221351440892	0.0162221351440892
45	0	0.0502472234278538	-0.0502472234278538
46	0	0.0268871429595885	-0.0268871429595885
47	0	-0.0163556813602342	0.0163556813602342
48	0	-0.0397157618284995	0.0397157618284995
49	0	0.0268871429595885	-0.0268871429595885
50	0	-0.0163556813602342	0.0163556813602342
51	0	0.242479785898478	-0.242479785898478
52	1	0.309216236902711	0.690783763097289
53	0	-0.0397157618284995	0.0397157618284995
54	1	0.242479785898478	0.757520214101522
55	0	-0.0163556813602342	0.0163556813602342
56	0	0.219119705430212	-0.219119705430212
57	0	0.2857226102183	-0.2857226102183
58	0	-0.0397157618284995	0.0397157618284995
59	0	-0.0397157618284995	0.0397157618284995
60	1	0.285856156434446	0.714143843565554
61	0	-0.0395822156123545	0.0395822156123545
62	0	0.309082690686566	-0.309082690686566
63	0	-0.0163556813602342	0.0163556813602342
64	0	-0.0395822156123545	0.0395822156123545
65	0	-0.0163556813602342	0.0163556813602342
66	0	-0.0163556813602342	0.0163556813602342
67	1	0.309082690686566	0.690917309313434
68	0	-0.0162221351440892	0.0162221351440892
69	0	-0.0397157618284995	0.0397157618284995
70	0	0.242479785898478	-0.242479785898478
71	0	-0.0163556813602342	0.0163556813602342
72	0	-0.0397157618284995	0.0397157618284995
73	0	0.219119705430212	-0.219119705430212
74	0	0.242613332114623	-0.242613332114623
75	0	-0.0397157618284995	0.0397157618284995
76	0	0.0268871429595885	-0.0268871429595885
77	0	-0.0397157618284995	0.0397157618284995
78	0	0.2857226102183	-0.2857226102183
79	1	0.219119705430212	0.780880294569788
80	0	0.0502472234278538	-0.0502472234278538
81	0	-0.0163556813602342	0.0163556813602342
82	0	0.219253251646357	-0.219253251646357
83	0	-0.0163556813602342	0.0163556813602342
84	1	0.242479785898478	0.757520214101522
85	0	0.0268871429595885	-0.0268871429595885
86	0	-0.0162221351440892	0.0162221351440892
87	0	-0.00901854101864158	0.00901854101864158
88	0	0.219253251646357	-0.219253251646357
89	0	0.0142079932334786	-0.0142079932334786
90	0	-0.00915208723478667	0.00915208723478667
91	0	0.0808108980215667	-0.0808108980215667
92	0	-0.0162221351440892	0.0162221351440892
93	0	0.0809444442377118	-0.0809444442377118
94	0	0.0142079932334786	-0.0142079932334786
95	0	-0.0163556813602342	0.0163556813602342
96	0	-0.00915208723478667	0.00915208723478667
97	0	-0.0162221351440892	0.0162221351440892
98	0	0.0142079932334786	-0.0142079932334786
99	0	0.0143415394496237	-0.0143415394496237
100	0	-0.00915208723478667	0.00915208723478667
101	0	-0.00901854101864158	0.00901854101864158
102	0	0.0142079932334786	-0.0142079932334786
103	0	0.0142079932334786	-0.0142079932334786
104	0	0.0142079932334786	-0.0142079932334786
105	0	0.242479785898478	-0.242479785898478
106	0	0.0142079932334786	-0.0142079932334786
107	0	0.0142079932334786	-0.0142079932334786
108	0	0.242613332114623	-0.242613332114623
109	0	0.0142079932334786	-0.0142079932334786
110	0	0.0143415394496237	-0.0143415394496237
111	0	0.309216236902711	-0.309216236902711
112	0	-0.0163556813602342	0.0163556813602342
113	0	0.27304346049219	-0.27304346049219
114	0	0.242613332114623	-0.242613332114623
115	0	0.0143415394496237	-0.0143415394496237
116	0	0.0142079932334786	-0.0142079932334786
117	0	-0.00901854101864158	0.00901854101864158
118	0	0.0143415394496237	-0.0143415394496237
119	0	0.0142079932334786	-0.0142079932334786
120	0	-0.00915208723478667	0.00915208723478667
121	0	0.0143415394496237	-0.0143415394496237
122	0	0.0142079932334786	-0.0142079932334786
123	0	0.242613332114623	-0.242613332114623
124	0	0.316286284812013	-0.316286284812013
125	0	-0.00915208723478667	0.00915208723478667
126	0	-0.0163556813602342	0.0163556813602342
127	0	0.0808108980215667	-0.0808108980215667
128	0	-0.00915208723478667	0.00915208723478667
129	0	0.0142079932334786	-0.0142079932334786
130	0	-0.00915208723478667	0.00915208723478667
131	0	0.0143415394496237	-0.0143415394496237
132	0	-0.00901854101864158	0.00901854101864158
133	0	0.273177006708336	-0.273177006708336
134	0	0.0142079932334786	-0.0142079932334786
135	0	0.0142079932334786	-0.0142079932334786
136	0	0.0142079932334786	-0.0142079932334786
137	0	0.316419831028158	-0.316419831028158
138	0	0.285856156434446	-0.285856156434446
139	0	-0.0163556813602342	0.0163556813602342
140	0	0.0142079932334786	-0.0142079932334786
141	1	0.249683380023925	0.750316619976075
142	0	0.219119705430212	-0.219119705430212
143	0	0.0143415394496237	-0.0143415394496237
144	0	0.0574508175533014	-0.0574508175533014
145	0	0.0808108980215667	-0.0808108980215667
146	0	-0.0397157618284995	0.0397157618284995
147	0	0.242479785898478	-0.242479785898478
148	0	-0.0163556813602342	0.0163556813602342
149	0	0.0143415394496237	-0.0143415394496237
150	0	0.0574508175533014	-0.0574508175533014
151	0	-0.00915208723478667	0.00915208723478667
152	1	0.273177006708336	0.726822993291664
153	1	0.339779911496424	0.660220088503576
154	0	0.273177006708336	-0.273177006708336

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
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	0.323818217251155	0.647636434502311	0.676181782748845
18	0.276727066848219	0.553454133696439	0.723272933151781
19	0.246584628287779	0.493169256575558	0.753415371712221
20	0.824518661629987	0.350962676740026	0.175481338370013
21	0.770736580569757	0.458526838860485	0.229263419430243
22	0.841941900593912	0.316116198812175	0.158058099406088
23	0.798138462762036	0.403723074475928	0.201861537237964
24	0.74438945213574	0.51122109572852	0.25561054786426
25	0.728140352020697	0.543719295958606	0.271859647979303
26	0.754853964180832	0.490292071638336	0.245146035819168
27	0.699711580667875	0.600576838664249	0.300288419332125
28	0.678835587316072	0.642328825367855	0.321164412683928
29	0.623184011000308	0.753631977999384	0.376815988999692
30	0.562987520118	0.874024959764	0.437012479882
31	0.500897943986668	0.998204112026665	0.499102056013332
32	0.439756193763436	0.879512387526872	0.560243806236564
33	0.3872501185197	0.7745002370394	0.6127498814803
34	0.332603805636567	0.665207611273135	0.667396194363432
35	0.279998368233254	0.559996736466509	0.720001631766745
36	0.232132094039249	0.464264188078498	0.767867905960751
37	0.247362254168013	0.494724508336026	0.752637745831987
38	0.222017301108984	0.444034602217968	0.777982698891016
39	0.181697248587372	0.363394497174743	0.818302751412628
40	0.147236456650681	0.294472913301362	0.852763543349319
41	0.568327798417553	0.863344403164894	0.431672201582447
42	0.546026032965711	0.907947934068579	0.453973967034289
43	0.496074467870099	0.992148935740198	0.503925532129901
44	0.442552042586169	0.885104085172338	0.557447957413831
45	0.392660003625223	0.785320007250446	0.607339996374777
46	0.344203344987151	0.688406689974303	0.655796655012848
47	0.297169889316723	0.594339778633447	0.702830110683277
48	0.253676685089256	0.507353370178512	0.746323314910744
49	0.214662714907889	0.429325429815779	0.785337285092111
50	0.178743911039099	0.357487822078199	0.821256088960901
51	0.168013121767018	0.336026243534035	0.831986878232982
52	0.486660002956026	0.973320005912051	0.513339997043974
53	0.438996209514197	0.877992419028395	0.561003790485803
54	0.815420104115158	0.369159791769684	0.184579895884842
55	0.780617177624648	0.438765644750704	0.219382822375352
56	0.77324764145603	0.453504717087939	0.22675235854397
57	0.782875731504621	0.434248536990758	0.217124268495379
58	0.747370881889842	0.505258236220316	0.252629118110158
59	0.708844021848316	0.582311956303369	0.291155978151684
60	0.921990403556768	0.156019192886464	0.078009596443232
61	0.90413742876177	0.19172514247646	0.09586257123823
62	0.913718358013095	0.172563283973809	0.0862816419869047
63	0.893444371167303	0.213111257665395	0.106555628832697
64	0.872326086069137	0.255347827861725	0.127673913930863
65	0.845846291171993	0.308307417656014	0.154153708828007
66	0.815981989522808	0.368036020954385	0.184018010477193
67	0.964360418550574	0.0712791628988528	0.0356395814494264
68	0.954896147734343	0.090207704531314	0.045103852265657
69	0.943195838907757	0.113608322184487	0.0568041610922433
70	0.943882878573284	0.112234242853432	0.0561171214267161
71	0.92933476713165	0.1413304657367	0.0706652328683501
72	0.912846326906347	0.174307346187305	0.0871536730936527
73	0.910095392736154	0.179809214527692	0.0899046072638461
74	0.910971593332673	0.178056813334655	0.0890284066673274
75	0.8912512873812	0.217497425237601	0.1087487126188
76	0.869543349477471	0.260913301045057	0.130456650522529
77	0.844080308679771	0.311839382640459	0.155919691320229
78	0.847431763621711	0.305136472756578	0.152568236378289
79	0.985823240677827	0.0283535186443462	0.0141767593221731
80	0.981182925349834	0.0376341493003312	0.0188170746501656
81	0.975187559215015	0.04962488156997	0.024812440784985
82	0.973197656314769	0.053604687370462	0.026802343685231
83	0.965183655612082	0.0696326887758353	0.0348163443879177
84	0.999147953280766	0.00170409343846829	0.000852046719234146
85	0.998827542683298	0.0023449146334032	0.0011724573167016
86	0.998367714027824	0.00326457194435245	0.00163228597217622
87	0.997586377997599	0.0048272440048026	0.0024136220024013
88	0.997139088244799	0.00572182351040254	0.00286091175520127
89	0.9958625765593	0.00827484688139996	0.00413742344069998
90	0.994083779767776	0.0118324404644479	0.00591622023222393
91	0.991746314863715	0.0165073702725702	0.00825368513628509
92	0.989212665569758	0.0215746688604832	0.0107873344302416
93	0.985255752565947	0.029488494868106	0.014744247434053
94	0.979943912088121	0.0401121758237575	0.0200560879118788
95	0.974801775702093	0.050396448595814	0.025198224297907
96	0.966543759912026	0.0669124801759488	0.0334562400879744
97	0.959572340583238	0.0808553188335245	0.0404276594167623
98	0.94733096183791	0.105338076324181	0.0526690381620905
99	0.932141738441095	0.13571652311781	0.0678582615589048
100	0.913949928791054	0.172100142417892	0.0860500712089461
101	0.891942606470756	0.216114787058489	0.108057393529244
102	0.866257249430092	0.267485501139817	0.133742750569908
103	0.836565568296277	0.326868863407446	0.163434431703723
104	0.802791675958364	0.394416648083272	0.197208324041636
105	0.786674213608986	0.426651572782028	0.213325786391014
106	0.747085130562618	0.505829738874763	0.252914869437382
107	0.703822471000584	0.592355057998833	0.296177528999416
108	0.682003924282828	0.635992151434344	0.317996075717172
109	0.633797694044823	0.732404611910354	0.366202305955177
110	0.582193429399899	0.835613141200203	0.417806570600101
111	0.563784682393023	0.872430635213954	0.436215317606977
112	0.521671005276779	0.956657989446443	0.478328994723221
113	0.571562407560579	0.856875184878841	0.428437592439421
114	0.544811770922434	0.910376458155132	0.455188229077566
115	0.488856992288854	0.977713984577709	0.511143007711146
116	0.43529037181509	0.870580743630181	0.56470962818491
117	0.380492973506646	0.760985947013293	0.619507026493354
118	0.327076655362995	0.65415331072599	0.672923344637005
119	0.279293045479391	0.558586090958783	0.720706954520609
120	0.232398899071212	0.464797798142424	0.767601100928788
121	0.189910153423132	0.379820306846263	0.810089846576868
122	0.154529867532665	0.30905973506533	0.845470132467335
123	0.139577349771298	0.279154699542596	0.860422650228702
124	0.171111800655787	0.342223601311574	0.828888199344213
125	0.134836323628528	0.269672647257057	0.865163676371472
126	0.111860773660763	0.223721547321526	0.888139226339237
127	0.0858272337305257	0.171654467461051	0.914172766269474
128	0.0634683288022569	0.126936657604514	0.936531671197743
129	0.046863471792162	0.093726943584324	0.953136528207838
130	0.0330238024939248	0.0660476049878495	0.966976197506075
131	0.0223341186050702	0.0446682372101403	0.97766588139493
132	0.0149211442097597	0.0298422884195195	0.98507885579024
133	0.0265584079581871	0.0531168159163742	0.973441592041813
134	0.0185414138824185	0.037082827764837	0.981458586117582
135	0.0129394434604168	0.0258788869208336	0.987060556539583
136	0.00924530570020203	0.0184906114004041	0.990754694299798
137	0.0159108622818391	0.0318217245636781	0.984089137718161
138	0.0145192849811291	0.0290385699622582	0.985480715018871
139	0.0121704212209872	0.0243408424419743	0.987829578779013
140	0.0066630080762896	0.0133260161525792	0.99333699192371
141	0.060517751095699	0.121035502191398	0.939482248904301
142	0.0531660350475926	0.106332070095185	0.946833964952407
143	0.0327553930329968	0.0655107860659936	0.967244606967003
144	0.0182091955673037	0.0364183911346073	0.981790804432696
145	0.00764139696936224	0.0152827939387245	0.992358603030638

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	14	0.102189781021898	NOK
5% type I error level	33	0.240875912408759	NOK
10% type I error level	44	0.321167883211679	NOK