Multiple Linear Regression - Estimated Regression Equation

ca[t] = + 0.0129459729750044 + 0.0115146695582435UseLim[t] -0.162614333886684T20[t] + 0.278287880707321used[t] + 0.0447956642870392Useful[t] -0.0354843689768406Outcome[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)	0.0129459729750044	0.03129	0.4137	0.679659	0.339829
UseLim	0.0115146695582435	0.041371	0.2783	0.781148	0.390574
T20	-0.162614333886684	0.063615	-2.5562	0.011589	0.005794
used	0.278287880707321	0.044855	6.2042	0	0
Useful	0.0447956642870392	0.04592	0.9755	0.330899	0.165449
Outcome	-0.0354843689768406	0.040089	-0.8851	0.377515	0.188757

Multiple Linear Regression - Regression Statistics
Multiple R	0.498844450594095
R-squared	0.248845785888525
Adjusted R-squared	0.223468954330704
F-TEST (value)	9.80602268338895
F-TEST (DF numerator)	5
F-TEST (DF denominator)	148
p-value	4.12008822614496e-08
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.236978055246082
Sum Squared Residuals	8.31147260289581

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	0	-0.0110237264435926	0.0110237264435926
2	0	0.0129459729750045	-0.0129459729750045
3	0	0.0129459729750043	-0.0129459729750043
4	0	0.0129459729750042	-0.0129459729750042
5	0	0.0129459729750044	-0.0129459729750044
6	0	0.0337719378434466	-0.0337719378434466
7	0	0.0129459729750044	-0.0129459729750044
8	0	0.0129459729750044	-0.0129459729750044
9	0	-0.0225383960018362	0.0225383960018362
10	0	0.0244606425332479	-0.0244606425332479
11	0	0.0244606425332479	-0.0244606425332479
12	0	0.0129459729750044	-0.0129459729750044
13	0	0.336029517969365	-0.336029517969365
14	0	0.0244606425332479	-0.0244606425332479
15	0	0.300545148992524	-0.300545148992524
16	0	0.300545148992524	-0.300545148992524
17	1	0.347544187527608	0.652455812472392
18	0	0.0244606425332479	-0.0244606425332479
19	0	-0.0225383960018362	0.0225383960018362
20	1	0.300545148992524	0.699454851007476
21	0	0.0692563068202871	-0.0692563068202871
22	0	0.312059818550767	-0.312059818550767
23	0	0.0222572682852031	-0.0222572682852031
24	0	0.0337719378434466	-0.0337719378434466
25	0	0.255749484705485	-0.255749484705485
26	0	0.336029517969365	-0.336029517969365
27	0	-0.0110237264435927	0.0110237264435927
28	0	0.291233853682325	-0.291233853682325
29	0	-0.0225383960018362	0.0225383960018362
30	0	0.0577416372620436	-0.0577416372620436
31	0	0.0129459729750044	-0.0129459729750044
32	0	0.0244606425332479	-0.0244606425332479
33	0	0.0692563068202871	-0.0692563068202871
34	0	-0.0225383960018362	0.0225383960018362
35	0	0.0129459729750044	-0.0129459729750044
36	0	0.0129459729750044	-0.0129459729750044
37	0	0.347544187527608	-0.347544187527608
38	0	0.255749484705485	-0.255749484705485
39	0	0.0222572682852031	-0.0222572682852031
40	0	0.0577416372620436	-0.0577416372620436
41	1	0.300545148992524	0.699454851007476
42	0	0.255749484705485	-0.255749484705485
43	0	0.0337719378434466	-0.0337719378434466
44	0	0.0244606425332479	-0.0244606425332479
45	0	0.0577416372620436	-0.0577416372620436
46	0	0.0222572682852031	-0.0222572682852031
47	0	0.0129459729750044	-0.0129459729750044
48	0	-0.0225383960018362	0.0225383960018362
49	0	0.0222572682852031	-0.0222572682852031
50	0	0.0129459729750044	-0.0129459729750044
51	0	0.291233853682325	-0.291233853682325
52	1	0.347544187527608	0.652455812472392
53	0	-0.0225383960018362	0.0225383960018362
54	1	0.291233853682325	0.708766146317675
55	0	0.0129459729750044	-0.0129459729750044
56	0	0.255749484705485	-0.255749484705485
57	0	0.300545148992524	-0.300545148992524
58	0	-0.0225383960018362	0.0225383960018362
59	0	-0.0225383960018362	0.0225383960018362
60	1	0.312059818550768	0.687940181449232
61	0	-0.0110237264435927	0.0110237264435927
62	0	0.336029517969365	-0.336029517969365
63	0	0.0129459729750044	-0.0129459729750044
64	0	-0.0110237264435927	0.0110237264435927
65	0	0.0129459729750044	-0.0129459729750044
66	0	0.0129459729750044	-0.0129459729750044
67	1	0.336029517969365	0.663970482030635
68	0	0.0244606425332479	-0.0244606425332479
69	0	-0.0225383960018362	0.0225383960018362
70	0	0.291233853682325	-0.291233853682325
71	0	0.0129459729750044	-0.0129459729750044
72	0	-0.0225383960018362	0.0225383960018362
73	0	0.255749484705485	-0.255749484705485
74	0	0.302748523240569	-0.302748523240569
75	0	-0.0225383960018362	0.0225383960018362
76	0	0.0222572682852031	-0.0222572682852031
77	0	-0.0225383960018362	0.0225383960018362
78	0	0.300545148992524	-0.300545148992524
79	1	0.255749484705485	0.744250515294515
80	0	0.0577416372620436	-0.0577416372620436
81	0	0.0129459729750044	-0.0129459729750044
82	0	0.267264154263728	-0.267264154263728
83	0	0.0129459729750044	-0.0129459729750044
84	1	0.291233853682325	0.708766146317675
85	0	0.0222572682852031	-0.0222572682852031
86	0	0.0244606425332479	-0.0244606425332479
87	0	-0.0110237264435927	0.0110237264435927
88	0	0.104649820377044	-0.104649820377044
89	0	0.0129459729750044	-0.0129459729750044
90	0	-0.0225383960018362	0.0225383960018362
91	0	0.0577416372620436	-0.0577416372620436
92	0	-0.138153691353436	0.138153691353436
93	0	0.0692563068202871	-0.0692563068202871
94	0	0.0129459729750044	-0.0129459729750044
95	0	-0.14966836091168	0.14966836091168
96	0	-0.0225383960018362	0.0225383960018362
97	0	-0.138153691353436	0.138153691353436
98	0	0.0129459729750044	-0.0129459729750044
99	0	0.0244606425332479	-0.0244606425332479
100	0	-0.0225383960018362	0.0225383960018362
101	0	-0.0110237264435927	0.0110237264435927
102	0	0.0129459729750044	-0.0129459729750044
103	0	0.0129459729750044	-0.0129459729750044
104	0	0.0129459729750044	-0.0129459729750044
105	0	0.128619519795641	-0.128619519795641
106	0	0.0129459729750044	-0.0129459729750044
107	0	0.0129459729750044	-0.0129459729750044
108	0	0.140134189353885	-0.140134189353885
109	0	0.0129459729750044	-0.0129459729750044
110	0	0.0244606425332479	-0.0244606425332479
111	0	0.184929853640924	-0.184929853640924
112	0	-0.14966836091168	0.14966836091168
113	0	0.291233853682325	-0.291233853682325
114	0	0.140134189353885	-0.140134189353885
115	0	0.0244606425332479	-0.0244606425332479
116	0	0.0129459729750044	-0.0129459729750044
117	0	-0.0110237264435927	0.0110237264435927
118	0	0.0244606425332479	-0.0244606425332479
119	0	0.0129459729750044	-0.0129459729750044
120	0	-0.0225383960018362	0.0225383960018362
121	0	0.0244606425332479	-0.0244606425332479
122	0	0.0129459729750044	-0.0129459729750044
123	0	0.140134189353885	-0.140134189353885
124	0	0.300545148992524	-0.300545148992524
125	0	-0.0225383960018362	0.0225383960018362
126	0	-0.14966836091168	0.14966836091168
127	0	0.0577416372620436	-0.0577416372620436
128	0	-0.0225383960018362	0.0225383960018362
129	0	0.0129459729750044	-0.0129459729750044
130	0	-0.0225383960018362	0.0225383960018362
131	0	0.0244606425332479	-0.0244606425332479
132	0	-0.0110237264435927	0.0110237264435927
133	0	0.302748523240569	-0.302748523240569
134	0	0.0129459729750044	-0.0129459729750044
135	0	0.0129459729750044	-0.0129459729750044
136	0	0.0129459729750044	-0.0129459729750044
137	0	0.312059818550767	-0.312059818550767
138	0	0.149445484664084	-0.149445484664084
139	0	-0.14966836091168	0.14966836091168
140	0	0.0129459729750044	-0.0129459729750044
141	1	0.255749484705485	0.744250515294515
142	0	0.0931351508188008	-0.0931351508188008
143	0	0.0244606425332479	-0.0244606425332479
144	0	0.0222572682852031	-0.0222572682852031
145	0	0.0577416372620436	-0.0577416372620436
146	0	-0.18515272988852	0.18515272988852
147	0	0.128619519795641	-0.128619519795641
148	0	-0.14966836091168	0.14966836091168
149	0	0.0244606425332479	-0.0244606425332479
150	0	0.0222572682852031	-0.0222572682852031
151	0	-0.0225383960018362	0.0225383960018362
152	1	0.302748523240569	0.697251476759431
153	1	0.347544187527608	0.652455812472392
154	0	0.302748523240569	-0.302748523240569

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	0.354788247431071	0.709576494862142	0.645211752568929
18	0.306362517641621	0.612725035283243	0.693637482358379
19	0.275432772154553	0.550865544309106	0.724567227845447
20	0.851340399755857	0.297319200488286	0.148659600244143
21	0.803096395486423	0.393807209027154	0.196903604513577
22	0.870310992183057	0.259378015633887	0.129689007816944
23	0.831865228873507	0.336269542252986	0.168134771126493
24	0.783736055476072	0.432527889047857	0.216263944523928
25	0.772304135977516	0.455391728044969	0.227695864022484
26	0.800950703287249	0.398098593425501	0.199049296712751
27	0.751300826123652	0.497398347752696	0.248699173876348
28	0.738512251011333	0.522975497977334	0.261487748988667
29	0.687516428563908	0.624967142872184	0.312483571436092
30	0.631401583036357	0.737196833927286	0.368598416963643
31	0.571601966097252	0.856796067805495	0.428398033902747
32	0.510760807415356	0.978478385169288	0.489239192584644
33	0.458137249514265	0.91627449902853	0.541862750485735
34	0.400918280710399	0.801836561420798	0.599081719289601
35	0.344579838970903	0.689159677941806	0.655420161029097
36	0.291872845384466	0.583745690768931	0.708127154615535
37	0.318394948375556	0.636789896751112	0.681605051624444
38	0.295203044399616	0.590406088799233	0.704796955600384
39	0.248006348483487	0.496012696966973	0.751993651516513
40	0.206795222170344	0.413590444340687	0.793204777829656
41	0.662113177760128	0.675773644479745	0.337886822239872
42	0.648519225894524	0.702961548210951	0.351480774105476
43	0.601415634888929	0.797168730222142	0.398584365111071
44	0.549137150775865	0.901725698448269	0.450862849224135
45	0.499219079434688	0.998438158869377	0.500780920565312
46	0.448404869663032	0.896809739326064	0.551595130336968
47	0.397491026085188	0.794982052170376	0.602508973914812
48	0.348143902117756	0.696287804235511	0.651856097882244
49	0.302628263917058	0.605256527834117	0.697371736082942
50	0.259361634991737	0.518723269983475	0.740638365008263
51	0.257068208442496	0.514136416884992	0.742931791557504
52	0.598166339547789	0.803667320904421	0.401833660452211
53	0.551122812468241	0.897754375063518	0.448877187531759
54	0.871704749742389	0.256590500515222	0.128295250257611
55	0.844044647885808	0.311910704228385	0.155955352114192
56	0.844569582950213	0.310860834099574	0.155430417049787
57	0.857976045012493	0.284047909975014	0.142023954987507
58	0.830384468040319	0.339231063919363	0.169615531959681
59	0.799412822013652	0.401174355972695	0.200587177986348
60	0.952315769839704	0.0953684603205917	0.0476842301602959
61	0.939162832343928	0.121674335312145	0.0608371676560723
62	0.950593240560661	0.0988135188786771	0.0494067594393385
63	0.937491867242717	0.125016265514565	0.0625081327572827
64	0.921780526908489	0.156438946183023	0.0782194730915113
65	0.903359808376994	0.193280383246013	0.0966401916230064
66	0.88197142275261	0.23605715449478	0.11802857724739
67	0.977681835125165	0.04463632974967	0.022318164874835
68	0.970664630677092	0.0586707386458169	0.0293353693229084
69	0.962210513341896	0.0755789733162072	0.0377894866581036
70	0.967433190665656	0.0651336186686883	0.0325668093343442
71	0.958097550921007	0.0838048981579867	0.0419024490789933
72	0.946815137340144	0.106369725319711	0.0531848626598557
73	0.951301446325456	0.0973971073490886	0.0486985536745443
74	0.959374122031693	0.0812517559366139	0.0406258779683069
75	0.948361315436999	0.103277369126001	0.0516386845630005
76	0.934932311908948	0.130135376182104	0.0650676880910522
77	0.91909822496625	0.1618035500675	0.0809017750337502
78	0.930117897402459	0.139764205195083	0.0698821025975413
79	0.99336982892019	0.0132603421596196	0.00663017107980978
80	0.99084217023317	0.0183156595336592	0.00915782976682961
81	0.987556510631362	0.0248869787372768	0.0124434893686384
82	0.989010412601867	0.0219791747962654	0.0109895873981327
83	0.985145791474801	0.0297084170503975	0.0148542085251988
84	0.999278579802356	0.00144284039528858	0.000721420197644289
85	0.998904377726476	0.00219124454704884	0.00109562227352442
86	0.998367714027824	0.00326457194435245	0.00163228597217622
87	0.997588157186866	0.00482368562626853	0.00241184281313427
88	0.996680881021559	0.00663823795688095	0.00331911897844047
89	0.995223527904684	0.00955294419063281	0.0047764720953164
90	0.993231103818592	0.0135377923628162	0.00676889618140809
91	0.990536310492332	0.0189273790153362	0.00946368950766808
92	0.988373199548587	0.023253600902825	0.0116268004514125
93	0.984201981791556	0.0315960364168877	0.0157980182084438
94	0.97857105302205	0.0428578939558991	0.0214289469779495
95	0.97377948083874	0.0524410383225199	0.02622051916126
96	0.965217262080225	0.0695654758395496	0.0347827379197748
97	0.958266970383377	0.0834660592332464	0.0417330296166232
98	0.945719829400774	0.108560341198452	0.0542801705992259
99	0.930218816650786	0.139562366698428	0.069781183349214
100	0.911644490410582	0.176711019178836	0.0883555095894178
101	0.889198414730782	0.221603170538437	0.110801585269218
102	0.863078917301745	0.273842165396509	0.136921082698255
103	0.832943188432596	0.334113623134808	0.167056811567404
104	0.798729742426811	0.402540515146379	0.201270257573189
105	0.774242313989004	0.451515372021992	0.225757686010996
106	0.73349253808176	0.53301492383648	0.26650746191824
107	0.689207082786578	0.621585834426844	0.310792917213422
108	0.656056238462994	0.687887523074013	0.343943761537006
109	0.606630867461606	0.786738265076787	0.393369132538394
110	0.554364022860617	0.891271954278766	0.445635977139383
111	0.51838461601414	0.963230767971721	0.48161538398586
112	0.482885185580965	0.965770371161931	0.517114814419035
113	0.537422976959064	0.925154046081873	0.462577023040936
114	0.501663853073137	0.996672293853727	0.498336146926863
115	0.445940703032632	0.891881406065265	0.554059296967368
116	0.393351516372473	0.786703032744947	0.606648483627527
117	0.340169743523384	0.680339487046768	0.659830256476616
118	0.289338952707588	0.578677905415175	0.710661047292412
119	0.244510523170938	0.489021046341876	0.755489476829062
120	0.201193047150548	0.402386094301096	0.798806952849452
121	0.162537938829242	0.325075877658485	0.837462061170758
122	0.130807313586478	0.261614627172956	0.869192686413522
123	0.113786106960215	0.22757221392043	0.886213893039785
124	0.14310543278747	0.28621086557494	0.85689456721253
125	0.111222883629231	0.222445767258461	0.888777116370769
126	0.0936185120972542	0.187237024194508	0.906381487902746
127	0.0710625569720172	0.142125113944034	0.928937443027983
128	0.051875384063739	0.103750768127478	0.948124615936261
129	0.0378545639731721	0.0757091279463441	0.962145436026828
130	0.0263300126374225	0.0526600252748449	0.973669987362578
131	0.0175701100135657	0.0351402200271314	0.982429889986434
132	0.0115749352874975	0.023149870574995	0.988425064712502
133	0.021972178356265	0.04394435671253	0.978027821643735
134	0.0152001728936694	0.0304003457873389	0.984799827106331
135	0.0105214054827621	0.0210428109655242	0.989478594517238
136	0.00746950387904003	0.0149390077580801	0.99253049612096
137	0.0135052242068086	0.0270104484136172	0.986494775793191
138	0.0117557404842157	0.0235114809684314	0.988244259515784
139	0.0100559374822609	0.0201118749645217	0.989944062517739
140	0.00543906518423439	0.0108781303684688	0.994560934815766
141	0.0525008456007181	0.105001691201436	0.947499154399282
142	0.0451113569343397	0.0902227138686793	0.95488864306566
143	0.0275046733729299	0.0550093467458599	0.97249532662707
144	0.0151193061827655	0.0302386123655311	0.984880693817234
145	0.00624336449513153	0.0124867289902631	0.993756635504868

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	37	0.27007299270073	NOK
10% type I error level	52	0.37956204379562	NOK