Multiple Linear Regression - Estimated Regression Equation

CorrectAnalysis[t] = + 10.2975980969539 -0.00116388271255185Uselimit[t] + 0.0449581864813038T40[t] + 0.0386328213861486T20[t] + 0.241418593195713Used[t] + 0.0585357500729137Useful[t] -0.0270872275867789Outcome[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)	10.2975980969539	1.039098	9.9101	0	0
Uselimit	-0.00116388271255185	0.043032	-0.027	0.978459	0.489229
T40	0.0449581864813038	0.051117	0.8795	0.380556	0.190278
T20	0.0386328213861486	0.04059	0.9518	0.342772	0.171386
Used	0.241418593195713	0.046064	5.2409	1e-06	0
Useful	0.0585357500729137	0.047008	1.2452	0.215032	0.107516
Outcome	-0.0270872275867789	0.040977	-0.661	0.509627	0.254813

Multiple Linear Regression - Regression Statistics
Multiple R	0.471948256743906
R-squared	0.222735157043612
Adjusted R-squared	0.191010061412739
F-TEST (value)	7.0207875694111
F-TEST (DF numerator)	6
F-TEST (DF denominator)	147
p-value	1.38701435048461e-06
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.241880178009852
Sum Squared Residuals	8.60038501556939

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.9795982393002	0.0204017606997809
2	14	13.9963053154822	0.0036946845178037
3	14	13.9963053154822	0.00369468451780353
4	14	13.9963053154822	0.00369468451780382
5	14	13.9963053154822	0.00369468451780374
6	14	13.9660206757086	0.0339793242913867
7	14	13.9963053154822	0.00369468451780376
8	14	13.9513471290009	0.0486528709991075
9	14	14.023392543069	-0.0233925430689751
10	14	13.9974691981947	0.00253080180525187
11	14	13.9525110117134	0.0474889882865557
12	14	13.9963053154822	0.00369468451780374
13	14	13.6963509722136	0.303649027786431
14	14	13.9525110117134	0.0474889882865557
15	14	13.7234381998003	0.276561800199652
16	14	13.678480013319	0.321519986680956
17	13	13.6525566684448	-0.652556668444817
18	14	13.9525110117134	0.0474889882865557
19	14	14.023392543069	-0.0233925430689751
20	13	13.678480013319	-0.678480013319044
21	14	13.9389334481218	0.0610665518781656
22	14	13.7246020825129	0.2753979174871
23	14	13.9648567929961	0.0351432070039386
24	14	13.9660206757086	0.0339793242913867
25	14	13.737015763392	0.262984236608042
26	14	13.6963509722136	0.303649027786431
27	14	14.0245564257815	-0.024556425781527
28	14	13.7548867222865	0.245113277713517
29	14	14.023392543069	-0.0233925430689751
30	14	13.9377695654093	0.0622304345907175
31	14	13.9963053154822	0.00369468451780374
32	14	13.9974691981947	0.00253080180525187
33	14	13.9389334481218	0.0610665518781656
34	14	13.9784343565877	0.0215656434123287
35	14	13.9963053154822	0.00369468451780374
36	14	13.9963053154822	0.00369468451780374
37	14	13.6525566684448	0.347443331555183
38	14	13.7819739498733	0.218026050126738
39	14	13.9648567929961	0.0351432070039386
40	14	13.892811378928	0.107188621072021
41	13	13.7234381998003	-0.723438199800348
42	14	13.7819739498733	0.218026050126738
43	14	13.9660206757086	0.0339793242913867
44	14	13.9525110117134	0.0474889882865557
45	14	13.9377695654093	0.0622304345907175
46	14	13.9648567929961	0.0351432070039386
47	14	13.9963053154822	0.00369468451780374
48	14	14.023392543069	-0.0233925430689751
49	14	13.9648567929961	0.0351432070039386
50	14	13.9963053154822	0.00369468451780374
51	14	13.7099285358052	0.290071464194821
52	13	13.6525566684448	-0.652556668444817
53	14	14.023392543069	-0.0233925430689751
54	13	13.7548867222865	-0.754886722286483
55	14	13.9963053154822	0.00369468451780374
56	14	13.737015763392	0.262984236608042
57	14	13.7234381998003	0.276561800199652
58	14	14.023392543069	-0.0233925430689751
59	14	14.023392543069	-0.0233925430689751
60	13	13.6796438960316	-0.679643896031596
61	14	13.9795982393002	0.0204017606997768
62	14	13.6963509722136	0.303649027786431
63	14	13.9963053154822	0.00369468451780374
64	14	13.9795982393002	0.0204017606997768
65	14	13.9963053154822	0.00369468451780374
66	14	13.9963053154822	0.00369468451780374
67	13	13.6513927857323	-0.651392785732265
68	14	13.9974691981947	0.00253080180525187
69	14	14.023392543069	-0.0233925430689751
70	14	13.7548867222865	0.245113277713517
71	14	13.9963053154822	0.00369468451780374
72	14	14.023392543069	-0.0233925430689751
73	14	13.7819739498733	0.218026050126738
74	14	13.756050604999	0.243949395000965
75	14	14.023392543069	-0.0233925430689751
76	14	13.9198986065148	0.0801013934852424
77	14	14.023392543069	-0.0233925430689751
78	14	13.7234381998003	0.276561800199652
79	13	13.737015763392	-0.737015763391958
80	14	13.892811378928	0.107188621072021
81	14	13.9963053154822	0.00369468451780374
82	14	13.7831378325858	0.216862167414186
83	14	13.9963053154822	0.00369468451780374
84	13	13.7548867222865	-0.754886722286483
85	14	13.9648567929961	0.0351432070039386
86	14	13.9974691981947	0.00253080180525187
87	14	14.0512191477926	-0.0512191477925822
88	14	13.7711677332107	0.22883226678928
89	14	14.0229680374933	-0.0229680374932515
90	14	14.05005526508	-0.0500552650800304
91	14	13.9644322874203	0.0355677125796622
92	14	13.9854990988197	0.0145009011803452
93	14	13.9655961701329	0.0344038298671104
94	14	14.0229680374933	-0.0229680374932515
95	14	13.9843352161071	0.015664783892897
96	14	14.05005526508	-0.0500552650800304
97	14	13.9854990988197	0.0145009011803452
98	14	14.0229680374933	-0.0229680374932515
99	14	14.0241319202058	-0.0241319202058034
100	14	14.05005526508	-0.0500552650800304
101	14	14.0512191477926	-0.0512191477925822
102	14	14.0229680374933	-0.0229680374932515
103	14	14.0229680374933	-0.0229680374932515
104	14	14.0229680374933	-0.0229680374932515
105	14	13.7429166229114	0.25708337708861
106	14	14.0229680374933	-0.0229680374932515
107	14	14.0229680374933	-0.0229680374932515
108	14	13.7440805056239	0.255919494376059
109	14	14.0229680374933	-0.0229680374932515
110	14	14.0241319202058	-0.0241319202058034
111	14	13.685544755551	0.314455244448972
112	14	13.9843352161071	0.015664783892897
113	14	13.7815494442975	0.218450555702462
114	14	13.7440805056239	0.255919494376059
115	14	14.0241319202058	-0.0241319202058034
116	14	14.0229680374933	-0.0229680374932515
117	14	14.0512191477926	-0.0512191477925822
118	14	14.0241319202058	-0.0241319202058034
119	14	14.0229680374933	-0.0229680374932515
120	14	14.05005526508	-0.0500552650800304
121	14	14.0241319202058	-0.0241319202058034
122	14	14.0229680374933	-0.0229680374932515
123	14	13.7440805056239	0.255919494376059
124	14	13.7501009218114	0.249899078188597
125	14	14.05005526508	-0.0500552650800304
126	14	13.9843352161071	0.015664783892897
127	14	13.9644322874203	0.0355677125796622
128	14	14.05005526508	-0.0500552650800304
129	14	14.0229680374933	-0.0229680374932515
130	14	14.05005526508	-0.0500552650800304
131	14	14.0241319202058	-0.0241319202058034
132	14	14.0512191477926	-0.0512191477925822
133	14	13.7827133270101	0.21728667298991
134	14	14.0229680374933	-0.0229680374932515
135	14	14.0229680374933	-0.0229680374932515
136	14	14.0229680374933	-0.0229680374932515
137	14	13.751264804524	0.248735195476045
138	14	13.7126319831378	0.287368016862193
139	14	13.9843352161071	0.015664783892897
140	14	14.0229680374933	-0.0229680374932515
141	13	13.8086366718843	-0.808636671884317
142	14	13.7700038504982	0.229996149501832
143	14	14.0241319202058	-0.0241319202058034
144	14	13.9915195150071	0.0084804849928833
145	14	13.9644322874203	0.0355677125796622
146	14	14.0114224436939	-0.0114224436938818
147	14	13.7429166229114	0.25708337708861
148	14	13.9843352161071	0.015664783892897
149	14	14.0241319202058	-0.0241319202058034
150	14	13.9915195150071	0.0084804849928833
151	14	14.05005526508	-0.0500552650800304
152	13	13.7827133270101	-0.78271332701009
153	13	13.7241775769372	-0.724177576937176
154	14	13.7827133270101	0.21728667298991

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	4.50119242699266e-46	9.00238485398531e-46	1
11	3.24089249700947e-58	6.48178499401895e-58	1
12	3.00631408406846e-72	6.01262816813692e-72	1
13	1.07355489166777e-87	2.14710978333554e-87	1
14	3.00579094155315e-98	6.01158188310631e-98	1
15	5.00179857381702e-112	1.0003597147634e-111	1
16	0	0	1
17	0.395720090431573	0.791440180863146	0.604279909568427
18	0.345000111904503	0.690000223809006	0.654999888095497
19	0.310248645622751	0.620497291245502	0.689751354377249
20	0.817997700602853	0.364004598794295	0.182002299397147
21	0.762104542567041	0.475790914865918	0.237895457432959
22	0.749499398733235	0.50100120253353	0.250500601266765
23	0.685924571713241	0.628150856573517	0.314075428286759
24	0.618890071383505	0.762219857232989	0.381109928616495
25	0.608687735426819	0.782624529146362	0.391312264573181
26	0.612754895483079	0.774490209033842	0.387245104516921
27	0.56871824609171	0.86256350781658	0.43128175390829
28	0.515052133831667	0.969895732336667	0.484947866168333
29	0.460683178264795	0.921366356529589	0.539316821735205
30	0.403925999958001	0.807851999916003	0.596074000041999
31	0.345948420356501	0.691896840713002	0.654051579643499
32	0.292017084249927	0.584034168499854	0.707982915750073
33	0.244104364316911	0.488208728633822	0.755895635683089
34	0.203948965324573	0.407897930649146	0.796051034675427
35	0.164830893891351	0.329661787782702	0.835169106108649
36	0.130993576432722	0.261987152865443	0.869006423567278
37	0.17399882976769	0.34799765953538	0.82600117023231
38	0.146074470275257	0.292148940550515	0.853925529724743
39	0.115742966018196	0.231485932036392	0.884257033981804
40	0.106008550135965	0.212017100271931	0.893991449864035
41	0.555185391602267	0.889629216795467	0.444814608397733
42	0.525729647529168	0.948540704941664	0.474270352470832
43	0.472848705427208	0.945697410854416	0.527151294572792
44	0.420117764198985	0.84023552839797	0.579882235801015
45	0.371649364320635	0.743298728641269	0.628350635679366
46	0.324449434774787	0.648898869549574	0.675550565225213
47	0.279862437673799	0.559724875347599	0.720137562326201
48	0.23756012301941	0.475120246038819	0.76243987698059
49	0.200482998275819	0.400965996551638	0.799517001724181
50	0.166956048362559	0.333912096725118	0.833043951637441
51	0.170176847651912	0.340353695303824	0.829823152348088
52	0.444622034419928	0.889244068839855	0.555377965580072
53	0.39815855887224	0.79631711774448	0.60184144112776
54	0.807421238886265	0.385157522227471	0.192578761113735
55	0.771743948131959	0.456512103736083	0.228256051868041
56	0.775280678446178	0.449438643107645	0.224719321553822
57	0.783954836079212	0.432090327841576	0.216045163920788
58	0.748801546200862	0.502396907598277	0.251198453799138
59	0.7106212018655	0.578757596269001	0.2893787981345
60	0.906118007833402	0.187763984333197	0.0938819921665983
61	0.884857133625303	0.230285732749394	0.115142866374697
62	0.897158261481939	0.205683477036123	0.102841738518061
63	0.874970685087352	0.250058629825296	0.125029314912648
64	0.850115954894443	0.299768090211114	0.149884045105557
65	0.821746236807772	0.356507526384456	0.178253763192228
66	0.790369604582059	0.419260790835882	0.209630395417941
67	0.943994522944211	0.112010954111579	0.0560054770557893
68	0.929063102248931	0.141873795502138	0.0709368977510688
69	0.912688423596914	0.174623152806172	0.0873115764030859
70	0.915748315402037	0.168503369195926	0.0842516845979632
71	0.896975393932075	0.20604921213585	0.103024606067925
72	0.875823933014478	0.248352133971043	0.124176066985522
73	0.879998359926448	0.240003280147104	0.120001640073552
74	0.889071894454316	0.221856211091369	0.110928105545684
75	0.86927682327763	0.26144635344474	0.13072317672237
76	0.850726774086753	0.298546451826494	0.149273225913247
77	0.827413892184515	0.345172215630971	0.172586107815485
78	0.858795186327309	0.282409627345382	0.141204813672691
79	0.984046275391469	0.0319074492170611	0.0159537246085306
80	0.981015382862539	0.0379692342749218	0.0189846171374609
81	0.975873601455436	0.048252797089129	0.0241263985445645
82	0.981737456036731	0.0365250879265384	0.0182625439632692
83	0.980049789180672	0.0399004216386569	0.0199502108193285
84	0.998275793611137	0.00344841277772588	0.00172420638886294
85	0.997458350012566	0.00508329997486854	0.00254164998743427
86	0.996303487970519	0.00739302405896208	0.00369651202948104
87	0.99468597147544	0.010628057049119	0.00531402852455948
88	0.993897086861885	0.0122058262762292	0.00610291313811458
89	0.99157066894879	0.01685866210242	0.00842933105121002
90	0.98849406909234	0.0230118618153206	0.0115059309076603
91	0.984157688057712	0.0316846238845767	0.0158423119422883
92	0.979783003759672	0.0404339924806567	0.0202169962403284
93	0.972783405971005	0.0544331880579891	0.0272165940289945
94	0.964084254831528	0.0718314903369431	0.0359157451684715
95	0.956005754033175	0.087988491933649	0.0439942459668245
96	0.943565509216998	0.112868981566004	0.0564344907830022
97	0.933139021061487	0.133721957877027	0.0668609789385134
98	0.915301274398333	0.169397451203334	0.0846987256016669
99	0.894021146974048	0.211957706051904	0.105978853025952
100	0.869469736454943	0.261060527090114	0.130530263545057
101	0.841207433383069	0.317585133233861	0.158792566616931
102	0.808167106442803	0.383665787114395	0.191832893557197
103	0.771085697555505	0.45782860488899	0.228914302444495
104	0.730143622329127	0.539712755341747	0.269856377670873
105	0.717666025853426	0.564667948293148	0.282333974146574
106	0.672399835072639	0.655200329854722	0.327600164927361
107	0.624266166845893	0.751467666308213	0.375733833154107
108	0.601241085169887	0.797517829660225	0.398758914830113
109	0.549953254063972	0.900093491872056	0.450046745936028
110	0.496987343486373	0.993974686972746	0.503012656513627
111	0.477384465295425	0.954768930590849	0.522615534704575
112	0.435295099108868	0.870590198217735	0.564704900891132
113	0.477656487088121	0.955312974176242	0.522343512911879
114	0.449639586042362	0.899279172084724	0.550360413957638
115	0.395950646697017	0.791901293394034	0.604049353302983
116	0.345333643125646	0.690667286251292	0.654666356874354
117	0.296414036811481	0.592828073622961	0.703585963188519
118	0.249330959434478	0.498661918868956	0.750669040565522
119	0.208031344357572	0.416062688715143	0.791968655642428
120	0.169023531462827	0.338047062925655	0.830976468537173
121	0.134781537616486	0.269563075232973	0.865218462383514
122	0.106874546422856	0.213749092845712	0.893125453577144
123	0.0952438257919983	0.190487651583997	0.904756174208002
124	0.115284299358413	0.230568598716826	0.884715700641587
125	0.0881654907776923	0.176330981555385	0.911834509222308
126	0.0713107024159468	0.142621404831894	0.928689297584053
127	0.0526366882281689	0.105273376456338	0.947363311771831
128	0.0376198602902224	0.0752397205804449	0.962380139709778
129	0.0268196404934865	0.0536392809869729	0.973180359506514
130	0.0182096028555454	0.0364192057110908	0.981790397144455
131	0.0118465790527085	0.023693158105417	0.988153420947292
132	0.00762997266366447	0.0152599453273289	0.992370027336336
133	0.0138019631442484	0.0276039262884967	0.986198036855752
134	0.00923020922634479	0.0184604184526896	0.990769790773655
135	0.00616745219922312	0.0123349043984462	0.993832547800777
136	0.00422376851715298	0.00844753703430596	0.995776231482847
137	0.00726250311750853	0.0145250062350171	0.992737496882491
138	0.00641897711327332	0.0128379542265466	0.993581022886727
139	0.00518367521657309	0.0103673504331462	0.994816324783427
140	0.00260587809600619	0.00521175619201238	0.997394121903994
141	0.032116317120195	0.0642326342403901	0.967883682879805
142	0.0267923493800415	0.053584698760083	0.973207650619959
143	0.0147546871177104	0.0295093742354208	0.98524531288229
144	0.00701127242563961	0.0140225448512792	0.99298872757436

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