Multiple Linear Regression - Estimated Regression Equation

Meisjes[t] = + 6.55169602478813e-14 -2.11214726054773e-17Jaar[t] -1Jongens[t] + 1Totaal[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)	6.55169602478813e-14	0	1.6509	0.100547	0.050274
Jaar	-2.11214726054773e-17	0	-1.1025	0.271758	0.135879
Jongens	-1	0	-256443963617416	0	0
Totaal	1	0	504380463826663	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	1
R-squared	1
Adjusted R-squared	1
F-TEST (value)	5.6369004495516e+31
F-TEST (DF numerator)	3
F-TEST (DF denominator)	176
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.22195023661168e-14
Sum Squared Residuals	2.6279657901294e-26

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	64.033	64.0329999999999	1.03209893320507e-13
2	65.679	65.679	-2.94896302473007e-14
3	62.776	62.776	1.11578018338212e-14
4	67.024	67.024	-4.51879758171414e-15
5	67.988	67.988	-4.39294637824417e-15
6	69.529	69.529	-4.70306374970769e-15
7	70.158	70.158	-4.23011148915878e-15
8	69.41	69.41	-4.64540101733495e-15
9	74.049	74.049	1.05472127688152e-14
10	66.197	66.197	8.85163505530145e-15
11	67.043	67.043	9.5831740774622e-15
12	67.459	67.459	1.00552521917777e-14
13	65.512	65.512	8.95975191657342e-15
14	64.665	64.665	-4.80847973147038e-15
15	65.382	65.382	-3.22472570188463e-15
16	66.607	66.607	-5.74693728562351e-15
17	58.387	58.387	-8.67486124167551e-15
18	57.564	57.564	4.50992866890043e-16
19	58.431	58.431	-9.83582860364057e-15
20	65.012	65.012	-3.89201982259344e-15
21	64.176	64.176	-4.25423035040867e-15
22	65.509	65.509	8.20846108981907e-15
23	65.163	65.163	-4.09719073053201e-15
24	62.158	62.158	-5.53650805921981e-15
25	64.429	64.429	1.02242248271406e-14
26	61.325	61.325	-4.25680124198695e-15
27	65.339	65.339	-2.039657317348e-14
28	69.921	69.921	9.61663021057756e-15
29	70.782	70.782	-1.71560739303491e-14
30	73.287	73.287	-4.45094123045224e-15
31	70.3	70.3	-1.77842099039099e-14
32	71.579	71.579	1.07100218619841e-14
33	70.7	70.7	-1.84514472322891e-14
34	75.74	75.74	-2.34380466516439e-15
35	75.85	75.85	-1.66763114973218e-14
36	76.381	76.381	-1.61522925960388e-14
37	77.388	77.388	1.23082672357923e-14
38	75.519	75.519	-1.7058735727604e-14
39	75.573	75.573	-2.19694355894496e-15
40	76.668	76.668	-2.56011905586733e-15
41	79.387	79.387	1.19401756511147e-14
42	76.876	76.876	1.1650750755211e-14
43	81.021	81.021	-1.63413190835894e-14
44	82.883	82.883	-1.48888730144574e-14
45	84.016	84.016	1.25040207438903e-14
46	85.047	85.047	-1.52537558809352e-14
47	85.757	85.757	1.24410938549081e-14
48	84.792	84.792	1.42608404664213e-16
49	83.811	83.811	1.16599159643594e-14
50	84.691	84.691	-2.34375454930806e-15
51	83.496	83.496	-1.36934556355712e-14
52	85.47	85.47	-1.73783743727308e-14
53	85.212	85.212	-3.21381137000646e-15
54	84.802	84.802	1.24944943977644e-14
55	85.809	85.809	-9.08577802413963e-16
56	85.119	85.119	-2.34198421993311e-15
57	85.228	85.228	-1.4126697098104e-14
58	85.302	85.302	1.38821524462883e-14
59	85.883	85.883	1.44333167793509e-14
60	86.315	86.315	2.17354239676687e-15
61	86.195	86.195	-1.1587880625179e-14
62	88.227	88.227	8.42418391615994e-15
63	86.411	86.411	-8.80443616602627e-15
64	89.12	89.12	1.40237029649709e-15
65	88.03	88.03	1.82707099096089e-14
66	89.372	89.372	-1.29383404633507e-14
67	91.869	91.869	7.36842394431282e-15
68	92.845	92.845	-1.19817729906947e-14
69	92.787	92.787	8.34767480433088e-15
70	94.711	94.711	-6.59427135884113e-15
71	94.204	94.204	1.05806328557392e-14
72	97.217	97.217	-8.27265823311868e-15
73	95.118	95.118	1.34970306655002e-15
74	93.688	93.688	2.11151701325265e-14
75	93.14	93.14	7.83443607603608e-15
76	91.516	91.516	2.49277884219099e-14
77	90.957	90.957	-1.00451303681533e-14
78	90.372	90.372	-6.4499535153806e-15
79	89.749	89.749	7.59129247829778e-15
80	85.813	85.813	1.00699254053621e-15
81	86.026	86.026	1.47244582045015e-15
82	83.933	83.933	1.33164606043685e-14
83	83.602	83.602	-1.71945074478984e-15
84	83.384	83.384	-1.09419581484644e-15
85	76.369	76.369	-1.40090590533163e-14
86	60.808	60.808	-2.44835203615697e-15
87	48.071	48.071	-4.44573006656405e-15
88	42.604	42.604	2.58489132637839e-15
89	41.402	41.402	8.38579785649654e-15
90	62.121	62.121	5.87938740098213e-15
91	79.739	79.739	-1.15941371931027e-15
92	79.006	79.006	-1.66944458488972e-14
93	74.472	74.472	-1.57758066035998e-15
94	75.956	75.956	1.38714789781533e-14
95	75.041	75.041	5.24460108609418e-16
96	74.873	74.873	3.87469978178133e-16
97	72.922	72.922	-5.99683593457651e-16
98	70.472	70.472	-1.51417819917927e-14
99	71.423	71.423	-1.04357255208297e-15
100	71.363	71.363	-7.24723118238392e-16
101	73.297	73.297	1.27792130576291e-14
102	72.081	72.081	-9.49059105856511e-16
103	70.488	70.488	-1.49557190270321e-14
104	65.544	65.544	-8.61330263093225e-16
105	64.45	64.45	1.27688804802321e-14
106	61.698	61.698	-8.95199359285248e-15
107	61.352	61.352	5.75052358532017e-15
108	61.072	61.072	-1.46663635776605e-15
109	63.722	63.722	-9.87853450243634e-15
110	61.987	61.987	-9.88004968783867e-15
111	53.802	53.802	9.86652880805719e-15
112	47.818	47.818	-8.44564566839195e-15
113	50.998	50.998	2.26158026309617e-15
114	58.438	58.438	-8.90014628892754e-15
115	60.143	60.143	-8.62201401935563e-16
116	61.854	61.854	-1.07903534091172e-16
117	70.987	70.987	-1.00795741748238e-16
118	70.389	70.389	-1.40225819539462e-14
119	72.175	72.175	-1.40067676025924e-14
120	70.243	70.243	1.47215423919695e-14
121	69.616	69.616	2.45824907522303e-16
122	69.443	69.443	4.74037759104251e-17
123	70.833	70.833	2.46240389767077e-16
124	71.059	71.059	8.56291450635416e-16
125	72.218	72.218	1.59923942825535e-14
126	72.647	72.647	-5.05487963457656e-16
127	73.299	73.299	1.01508524810719e-16
128	73.756	73.756	6.35964423493382e-16
129	75.557	75.557	1.65522527797643e-14
130	78.172	78.172	-1.27876842835074e-14
131	75.624	75.624	-9.70013210163295e-15
132	76.959	76.959	4.33024668318502e-15
133	74.994	74.994	4.24745258875323e-15
134	76.841	76.841	2.03619019213557e-15
135	78.043	78.043	1.47391669707961e-15
136	75.187	75.187	1.12119645281536e-15
137	73.387	73.387	5.59577688949916e-16
138	70.798	70.798	4.65927152472678e-16
139	68.722	68.722	5.85187467601031e-16
140	68.396	68.396	4.42537977191938e-16
141	68.466	68.466	1.08596539220822e-15
142	67.675	67.675	-1.34781313539781e-14
143	65.248	65.248	-1.28291551300833e-14
144	62.974	62.974	-2.08093794520361e-14
145	59.801	59.801	-3.26776722724943e-16
146	57.894	57.894	-4.42993217831812e-17
147	58.592	58.592	6.61368216104557e-15
148	59.249	59.249	6.44113184877617e-15
149	59.554	59.554	4.9815259833354e-16
150	59.753	59.753	1.8773658879585e-16
151	60.877	60.877	7.20702628416256e-15
152	60.532	60.532	1.05798208705719e-15
153	58.452	58.452	-5.4930960112336e-15
154	56.955	56.955	-5.26130638798381e-16
155	56.437	56.437	-8.12637218530502e-15
156	55.588	55.588	-2.09881906484655e-15
157	56.702	56.702	-6.45684549907483e-16
158	57.062	57.062	6.90602124837226e-15
159	57.826	57.826	6.99924561330882e-15
160	58.755	58.755	7.63353991619591e-15
161	60.25	60.25	2.16090613241436e-16
162	61.142	61.142	-6.66887937933555e-15
163	60.69	60.69	-5.59360445485984e-15
164	58.495	58.495	-5.87936361421704e-15
165	56.02	56.02	-5.71467484186547e-16
166	55.814	55.814	-1.17811672176604e-15
167	56.489	56.489	2.82611216445108e-16
168	56.587	56.587	1.32643654835102e-15
169	55.714	55.714	1.4807721839866e-15
170	55.611	55.611	-4.01755230168861e-16
171	56.093	56.093	7.82930836607938e-15
172	55.929	55.929	6.99561720517926e-15
173	54.181	54.181	6.12346779788403e-15
174	54.81	54.81	1.63762896605287e-15
175	56.189	56.189	7.40716717990283e-15
176	57.427	57.427	7.43128068251566e-15
177	59.432	59.432	4.37258109056803e-16
178	58.951	58.951	8.55969306531898e-15
179	62.318	62.318	-1.2463401965756e-14
180	62.1	62.1	8.58176524949972e-15

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.532924794949049	0.934150410101902	0.467075205050951
8	0.453607821120742	0.907215642241485	0.546392178879258
9	0.50122186872602	0.997556262547961	0.49877813127398
10	0.0197693380314537	0.0395386760629074	0.980230661968546
11	0.0206245881050294	0.0412491762100588	0.979375411894971
12	0.670631485724513	0.658737028550974	0.329368514275487
13	0.0942642878419797	0.188528575683959	0.90573571215802
14	0.990574632930907	0.018850734138187	0.00942536706909351
15	0.990842767323629	0.0183144653527421	0.00915723267637107
16	0.989245521678126	0.0215089566437481	0.0107544783218741
17	0.053851044986776	0.107702089973552	0.946148955013224
18	0.189146852605447	0.378293705210894	0.810853147394553
19	0.482965012855802	0.965930025711603	0.517034987144198
20	0.925056999497733	0.149886001004533	0.0749430005022667
21	0.0438319386802822	0.0876638773605645	0.956168061319718
22	0.243118882038463	0.486237764076927	0.756881117961537
23	0.00630488190936613	0.0126097638187323	0.993695118090634
24	0.204397240828096	0.408794481656192	0.795602759171904
25	0.817807801592981	0.364384396814038	0.182192198407019
26	0.252670046819031	0.505340093638063	0.747329953180969
27	0.999947566226661	0.000104867546677954	5.24337733389771e-05
28	0.00641839131860085	0.0128367826372017	0.993581608681399
29	0.706488599040937	0.587022801918125	0.293511400959063
30	0.999985211573539	2.95768529211756e-05	1.47884264605878e-05
31	0.0472130224351033	0.0944260448702067	0.952786977564897
32	0.394659242062331	0.789318484124662	0.605340757937669
33	0.988268506677047	0.0234629866459051	0.0117314933229525
34	0.999988009014607	2.39819707863015e-05	1.19909853931507e-05
35	0.661813077943655	0.67637384411269	0.338186922056345
36	0.988415704159136	0.0231685916817276	0.0115842958408638
37	0.997544156627507	0.00491168674498527	0.00245584337249264
38	0.152441993945947	0.304883987891895	0.847558006054053
39	0.316544527551696	0.633089055103392	0.683455472448304
40	0.788026487422777	0.423947025154446	0.211973512577223
41	0.999909495031013	0.000181009937974483	9.05049689872415e-05
42	0.0843845811598633	0.168769162319727	0.915615418840137
43	0.998142012681347	0.00371597463730585	0.00185798731865292
44	0.999820943357015	0.000358113285969993	0.000179056642984996
45	0.163478128297457	0.326956256594914	0.836521871702543
46	0.0692030493804408	0.138406098760882	0.930796950619559
47	0.0261056302299179	0.0522112604598358	0.973894369770082
48	0.999802007832039	0.000395984335921771	0.000197992167960886
49	0.970652702235814	0.058694595528371	0.0293472977641855
50	0.910508068136846	0.178983863726308	0.0894919318631538
51	0.999999860472725	2.79054549826137e-07	1.39527274913069e-07
52	0.97934042685071	0.0413191462985809	0.0206595731492905
53	0.996387451465745	0.00722509706850973	0.00361254853425486
54	0.964203828784243	0.0715923424315142	0.0357961712157571
55	0.988493920162465	0.0230121596750711	0.0115060798375355
56	0.999999999999997	5.44456949934948e-15	2.72228474967474e-15
57	0.996171632497537	0.00765673500492579	0.0038283675024629
58	0.995783610371211	0.00843277925757831	0.00421638962878916
59	0.999999999956109	8.77811679250178e-11	4.38905839625089e-11
60	0.999915774442954	0.000168451114092135	8.42255570460674e-05
61	0.98318876510094	0.0336224697981206	0.0168112348990603
62	0.999916024263047	0.000167951473905832	8.3975736952916e-05
63	0.999999999999996	7.0417273376259e-15	3.52086366881295e-15
64	0.990056329969418	0.0198873400611641	0.00994367003058203
65	0.0438854441231917	0.0877708882463833	0.956114555876808
66	0.999999999997062	5.87504973437701e-12	2.9375248671885e-12
67	0.992149868165946	0.0157002636681073	0.00785013183405366
68	0.0670717320195639	0.134143464039128	0.932928267980436
69	0.987092854541419	0.0258142909171617	0.0129071454585809
70	0.999999999989193	2.16141125737585e-11	1.08070562868793e-11
71	0.99999999996366	7.2679936023573e-11	3.63399680117865e-11
72	0.997529352134638	0.00494129573072414	0.00247064786536207
73	0.999999999999516	9.68168224747984e-13	4.84084112373992e-13
74	0.0864066775268153	0.172813355053631	0.913593322473185
75	0.016507527819589	0.033015055639178	0.983492472180411
76	0.0606110332046323	0.121222066409265	0.939388966795368
77	0.999943304679077	0.000113390641846418	5.66953209232089e-05
78	0.99896604951958	0.00206790096084053	0.00103395048042027
79	0.999999999999661	6.78206098457203e-13	3.39103049228602e-13
80	0.899691691084532	0.200616617830936	0.100308308915468
81	0.941769355165452	0.116461289669097	0.0582306448345485
82	0.99999999997251	5.49797896680861e-11	2.74898948340431e-11
83	0.999089016802416	0.00182196639516785	0.000910983197583923
84	0.995884919403675	0.00823016119265045	0.00411508059632522
85	0.99892521692365	0.00214956615269914	0.00107478307634957
86	0.0669294726971854	0.133858945394371	0.933070527302815
87	0.998149999966949	0.00370000006610153	0.00185000003305076
88	0.999999999998423	3.15348662497479e-12	1.5767433124874e-12
89	0.999427262644929	0.00114547471014198	0.000572737355070991
90	0.999999999500627	9.98746521786891e-10	4.99373260893446e-10
91	0.992892595619393	0.0142148087612149	0.00710740438060746
92	0.999999999997238	5.52500158580318e-12	2.76250079290159e-12
93	0.99776820216845	0.00446359566310047	0.00223179783155023
94	0.0102451336246901	0.0204902672493802	0.98975486637531
95	0.00452792597627558	0.00905585195255116	0.995472074023724
96	0.999999997731429	4.5371425559571e-09	2.26857127797855e-09
97	0.00127959433560039	0.00255918867120079	0.9987204056644
98	0.999999997519879	4.96024224611026e-09	2.48012112305513e-09
99	0.997490742412634	0.0050185151747327	0.00250925758736635
100	0.980053725598582	0.0398925488028366	0.0199462744014183
101	0.742267125064734	0.515465749870532	0.257732874935266
102	0.422596732533664	0.845193465067329	0.577403267466336
103	0.99999999989649	2.07019263199895e-10	1.03509631599948e-10
104	0.999351657115295	0.00129668576940938	0.000648342884704691
105	0.5345391267135	0.930921746573	0.4654608732865
106	0.999450539374234	0.00109892125153145	0.000549460625765725
107	0.99913968802656	0.00172062394687996	0.000860311973439981
108	0.999668116038388	0.000663767923223881	0.000331883961611941
109	0.999999998312892	3.37421621548047e-09	1.68710810774023e-09
110	0.999999997401711	5.19657725094994e-09	2.59828862547497e-09
111	0.00313376058289273	0.00626752116578546	0.996866239417107
112	0.999063261967393	0.00187347606521492	0.00093673803260746
113	0.000710114404453541	0.00142022880890708	0.999289885595546
114	0.997274525651368	0.00545094869726388	0.00272547434863194
115	0.000645743181880135	0.00129148636376027	0.99935425681812
116	0.239224041417833	0.478448082835665	0.760775958582167
117	0.141949532011528	0.283899064023056	0.858050467988472
118	0.464777067568715	0.92955413513743	0.535222932431285
119	0.999999986689334	2.6621332084763e-08	1.33106660423815e-08
120	0.0679480021110755	0.135896004222151	0.932051997888925
121	0.473150381432093	0.946300762864186	0.526849618567907
122	0.170383863107453	0.340767726214906	0.829616136892547
123	0.999996908752299	6.18249540247273e-06	3.09124770123637e-06
124	0.999411361818557	0.00117727636288507	0.000588638181442535
125	0.999736581315893	0.000526837368214368	0.000263418684107184
126	0.999604796847889	0.000790406304221149	0.000395203152110575
127	0.999998714794754	2.57041049178019e-06	1.28520524589009e-06
128	0.26188750559166	0.523775011183319	0.73811249440834
129	0.107541104300024	0.215082208600048	0.892458895699976
130	0.969225536353938	0.0615489272921236	0.0307744636460618
131	0.999999992090145	1.58197102558536e-08	7.90985512792678e-09
132	0.647338387397461	0.705323225205078	0.352661612602539
133	0.999999072978121	1.85404375721234e-06	9.27021878606171e-07
134	0.999999686022768	6.27954464321719e-07	3.13977232160859e-07
135	0.996902135417191	0.00619572916561758	0.00309786458280879
136	0.9999998115795	3.768409999795e-07	1.8842049998975e-07
137	0.999999033385938	1.93322812408432e-06	9.6661406204216e-07
138	0.0638540598658274	0.127708119731655	0.936145940134173
139	0.114691280000563	0.229382560001126	0.885308719999437
140	0.999053639829312	0.00189272034137695	0.000946360170688473
141	0.998867463291034	0.00226507341793291	0.00113253670896645
142	0.999998331255158	3.3374896837353e-06	1.66874484186765e-06
143	0.162331440112593	0.324662880225185	0.837668559887407
144	0.911325526136924	0.177348947726152	0.0886744738630762
145	0.725295001755039	0.549409996489923	0.274704998244961
146	0.999766808419977	0.000466383160046811	0.000233191580023405
147	0.922064657712475	0.15587068457505	0.0779353422875252
148	0.130605810252191	0.261211620504383	0.869394189747809
149	0.216955601486217	0.433911202972434	0.783044398513783
150	0.999999253845174	1.49230965152849e-06	7.46154825764244e-07
151	0.999271211568622	0.00145757686275592	0.000728788431377962
152	0.0779019825722348	0.15580396514447	0.922098017427765
153	0.165243976691277	0.330487953382554	0.834756023308723
154	0.0884320420717133	0.176864084143427	0.911567957928287
155	0.0114154413421883	0.0228308826843766	0.988584558657812
156	0.938556487693106	0.122887024613789	0.0614435123068945
157	0.999876009120008	0.000247981759983949	0.000123990879991974
158	0.379268445038348	0.758536890076696	0.620731554961652
159	0.998888878325936	0.00222224334812829	0.00111112167406414
160	0.999929531332347	0.000140937335305296	7.04686676526479e-05
161	0.577184322126752	0.845631355746496	0.422815677873248
162	0.992582600400567	0.0148347991988664	0.00741739959943318
163	0.966316345535183	0.0673673089296332	0.0336836544648166
164	0.856412685606818	0.287174628786365	0.143587314393182
165	0.80715338976518	0.38569322046964	0.19284661023482
166	0.91400519467519	0.171989610649619	0.0859948053248097
167	0.870134503953289	0.259730992093421	0.129865496046711
168	0.672180675011761	0.655638649976478	0.327819324988239
169	0.0445028007383002	0.0890056014766005	0.9554971992617
170	0.724472926742299	0.551054146515403	0.275527073257701
171	0.0247315481473449	0.0494630962946898	0.975268451852655
172	0.912862505982355	0.17427498803529	0.0871374940176452
173	0.708623288429106	0.582753423141789	0.291376711570894

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	73	0.437125748502994	NOK
5% type I error level	95	0.568862275449102	NOK
10% type I error level	104	0.622754491017964	NOK