Multiple Linear Regression - Estimated Regression Equation

Ouders[t] = + 27.8552750214553 -0.136396824808244Carrièremogelijkheden[t] + 0.0675556474155193Geen_Motivatie[t] -0.060061041784308Leermogelijkheden[t] + 0.0319367375649696Persoonlijke_redenen[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)	27.8552750214553	4.28741	6.497	0	0
Carrièremogelijkheden	-0.136396824808244	0.083313	-1.6372	0.103828	0.051914
Geen_Motivatie	0.0675556474155193	0.167978	0.4022	0.688168	0.344084
Leermogelijkheden	-0.060061041784308	0.067798	-0.8859	0.377188	0.188594
Persoonlijke_redenen	0.0319367375649696	0.091112	0.3505	0.72647	0.363235

Multiple Linear Regression - Regression Statistics
Multiple R	0.183615776054193
R-squared	0.0337147532159837
Adjusted R-squared	0.00630240578948671
F-TEST (value)	1.22991120356934
F-TEST (DF numerator)	4
F-TEST (DF denominator)	141
p-value	0.300915124782477
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	5.36992548276381
Sum Squared Residuals	4065.89005635150

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	23	20.0313142057519	2.96868579424807
2	15	20.8502977187529	-5.85029771875292
3	25	21.1738297505424	3.82617024945757
4	18	21.9296386378018	-3.92963863780180
5	21	21.0911705143671	-0.0911705143670777
6	19	20.1818655351742	-1.18186553517419
7	15	20.3516964084960	-5.35169640849596
8	22	20.1596036800147	1.84039631998530
9	19	19.9505532444681	-0.950553244468094
10	20	20.5137608550665	-0.513760855066537
11	26	20.6145546535869	5.38544534641312
12	26	19.6496953307809	6.3503046692191
13	21	19.8190539010112	1.18094609898878
14	18	19.4198034156748	-1.41980341567483
15	19	21.2920535592195	-2.29205355921955
16	19	20.5212452799350	-1.52124527993496
17	18	18.5192298309416	-0.519229830941602
18	19	20.3649176059269	-1.36491760592694
19	24	20.2778274886918	3.72217251130818
20	28	23.0782771537722	4.92172284622778
21	20	19.7867490570894	0.213250942910584
22	27	21.8429393037468	5.15706069625316
23	18	20.8311653311133	-2.83116533111334
24	19	23.2749355023362	-4.27493550233625
25	24	20.7647695371777	3.23523046282226
26	21	20.6310298767980	0.368970123202024
27	22	20.7772318450717	1.22276815492826
28	25	23.3380319956687	1.66196800433135
29	19	22.1858970240586	-3.18589702405856
30	15	21.2558660610407	-6.2558660610407
31	34	21.3997835558056	12.6002164441944
32	23	20.6802561826969	2.31974381730311
33	19	20.3008979861743	-1.30089798617430
34	26	18.8943032910271	7.10569670897289
35	15	20.5865005702790	-5.58650057027896
36	15	20.6851797283737	-5.68517972837369
37	17	20.4875507093013	-3.48755070930134
38	30	21.6032535441751	8.39674645582488
39	19	20.6108826620641	-1.61088266206409
40	28	21.5537406518307	6.44625934816933
41	23	22.0625911356212	0.937408864378753
42	23	21.6365414480659	1.36345855193406
43	21	21.4185149795022	-0.418514979502221
44	18	20.3679111095870	-2.36791110958696
45	19	21.4309070664848	-2.4309070664848
46	24	21.2605993055088	2.73940069449118
47	15	20.5941910733189	-5.59419107331887
48	20	19.8688975363872	0.131102463612813
49	24	22.8835873010111	1.11641269898889
50	9	20.0996728992904	-11.0996728992904
51	20	21.6737925144879	-1.67379251448786
52	20	20.9092034916201	-0.909203491620067
53	10	20.3841156299152	-10.3841156299152
54	44	22.0017395437745	21.9982604562255
55	20	21.8429393037468	-1.84293930374684
56	20	21.5511435275508	-1.55114352755082
57	11	21.7413481619034	-10.7413481619034
58	21	21.1001511319470	-0.100151131946966
59	21	21.9624486424012	-0.962448642401164
60	19	22.8222226369890	-3.82222263698905
61	17	19.945775843414	-2.94577584341399
62	16	20.0253214956321	-4.02532149563206
63	14	20.3322921997364	-6.33229219973641
64	19	20.1309968919411	-1.13099689194112
65	21	21.0097809246063	-0.00978092460629047
66	16	19.1123456431535	-3.11234564315347
67	19	19.6742076836261	-0.674207683626076
68	19	21.0504377576310	-2.05043775763105
69	16	19.7325709324904	-3.73257093249036
70	24	22.6716838036273	1.32831619637267
71	29	18.7760092614386	10.2239907385614
72	21	23.2948221949500	-2.29482219495003
73	20	21.5251338637571	-1.52513386375709
74	23	21.2155014106615	1.78449858933850
75	18	21.1414105291232	-3.14141052912322
76	19	20.8523421382671	-1.85234213826710
77	23	21.7639622398571	1.23603776014293
78	19	20.4059051819832	-1.40590518198322
79	21	22.4155330016073	-1.41553300160730
80	26	19.6110284733217	6.38897152667828
81	13	21.0981225959954	-8.09812259599542
82	23	24.4073694979785	-1.40736949797845
83	17	20.5006959830210	-3.50069598302104
84	30	20.6402222753492	9.35977772465079
85	19	20.1239847701641	-1.12398477016415
86	22	21.0262720313800	0.973727968619965
87	14	20.3755960164269	-6.37559601642685
88	14	20.9736897116643	-6.9736897116643
89	21	21.0342932774515	-0.0342932774514690
90	21	19.8964192764550	1.10358072354497
91	33	20.7097362378049	12.2902637621951
92	23	22.459493719798	0.540506280201979
93	30	20.1423039309180	9.85769606908204
94	19	21.7420911678777	-2.74209116787772
95	21	22.1448981490024	-1.14489814900241
96	25	22.5226944098650	2.47730559013496
97	18	20.7690644543776	-2.76906445437761
98	25	19.0663144411231	5.93368555887687
99	21	20.6396797513463	0.360320248653658
100	16	19.9258189298888	-3.92581892988878
101	17	20.9237102190283	-3.92371021902825
102	23	22.1623723157452	0.83762768425482
103	26	21.8620829903863	4.13791700961372
104	18	19.4165335063321	-1.41653350633206
105	19	21.0152311107233	-2.01523111072331
106	28	21.2827909397569	6.7172090602431
107	20	20.6582809139829	-0.658280913982925
108	29	22.4070575447050	6.59294245529503
109	19	21.6373003376029	-2.63730033760292
110	18	22.0920292428411	-4.09202924284113
111	24	21.061961162142	2.93803883785799
112	12	21.5379382136825	-9.53793821368249
113	19	20.0680125674082	-1.06801256740822
114	25	19.9500707606139	5.04992923938614
115	12	20.3913984545750	-8.39139845457504
116	15	20.4242197581743	-5.42421975817426
117	25	21.603037178641	3.396962821359
118	14	20.8204756216136	-6.82047562161355
119	19	21.429735914005	-2.429735914005
120	23	22.1664826345362	0.833517365463779
121	19	20.1943278430682	-1.19432784306819
122	24	20.6329496314521	3.36705036854787
123	20	21.2002721454044	-1.20027214540439
124	16	21.155043989497	-5.15504398949702
125	13	19.4765945481164	-6.47659454811637
126	20	20.8586214348325	-0.858621434832529
127	30	21.2468254033122	8.75317459668782
128	18	20.3417009638218	-2.34170096382176
129	22	21.5042334622861	0.495766537713927
130	21	20.7751874255576	0.224812574442448
131	25	19.3788260203813	5.62117397961866
132	18	21.7956826118879	-3.79568261188792
133	25	20.5062220928493	4.49377790715066
134	44	20.3879982841722	23.6120017158278
135	12	20.5600740589796	-8.56007405897964
136	17	20.7523774501952	-3.75237745019517
137	26	20.2367583927242	5.76324160727575
138	18	19.9294410620257	-1.92944106202573
139	21	21.4341610922649	-0.434161092264918
140	24	20.7965760136827	3.20342398631734
141	20	22.1605159887418	-2.16051598874177
142	24	21.0336204923886	2.96637950761145
143	28	22.4545101339726	5.54548986602741
144	20	21.4884955422495	-1.48849554224946
145	33	21.5440011447138	11.4559988552862
146	19	21.4645676612952	-2.46456766129522

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.270104338901468	0.540208677802937	0.729895661098532
9	0.187122445293119	0.374244890586237	0.812877554706881
10	0.130235345309959	0.260470690619917	0.869764654690041
11	0.281763324158485	0.56352664831697	0.718236675841515
12	0.274845831470726	0.549691662941451	0.725154168529274
13	0.186313975033297	0.372627950066593	0.813686024966703
14	0.162777059224020	0.325554118448039	0.83722294077598
15	0.114201758677636	0.228403517355271	0.885798241322364
16	0.0719264850636562	0.143852970127312	0.928073514936344
17	0.0569237236601443	0.113847447320289	0.943076276339856
18	0.0377918733320764	0.0755837466641528	0.962208126667924
19	0.0267797427462649	0.0535594854925298	0.973220257253735
20	0.043576277824293	0.087152555648586	0.956423722175707
21	0.027819655478102	0.055639310956204	0.972180344521898
22	0.0277715419062143	0.0555430838124286	0.972228458093786
23	0.0197813144985473	0.0395626289970946	0.980218685501453
24	0.0216365008532756	0.0432730017065512	0.978363499146724
25	0.0163656331279858	0.0327312662559716	0.983634366872014
26	0.0100363808903181	0.0200727617806362	0.989963619109682
27	0.00609492108318521	0.0121898421663704	0.993905078916815
28	0.00360948122816785	0.0072189624563357	0.996390518771832
29	0.00277242252969197	0.00554484505938393	0.997227577470308
30	0.00353750067577664	0.00707500135155328	0.996462499324223
31	0.0343169513469385	0.068633902693877	0.965683048653062
32	0.0270917707704237	0.0541835415408474	0.972908229229576
33	0.0186406600553065	0.037281320110613	0.981359339944693
34	0.0175094565930182	0.0350189131860364	0.982490543406982
35	0.0267170617454316	0.0534341234908633	0.973282938254568
36	0.0306640089755740	0.0613280179511481	0.969335991024426
37	0.0257805129639572	0.0515610259279145	0.974219487036043
38	0.0386872858578336	0.0773745717156672	0.961312714142166
39	0.0326402195418486	0.0652804390836972	0.967359780458151
40	0.0349961959882569	0.0699923919765138	0.965003804011743
41	0.0252353590642996	0.0504707181285992	0.9747646409357
42	0.0198464028330780	0.0396928056661559	0.980153597166922
43	0.0143264300676805	0.028652860135361	0.98567356993232
44	0.0110894093756702	0.0221788187513404	0.98891059062433
45	0.00825356574579487	0.0165071314915897	0.991746434254205
46	0.00613469586397439	0.0122693917279488	0.993865304136026
47	0.00602281360706031	0.0120456272141206	0.99397718639294
48	0.00405749213778953	0.00811498427557906	0.99594250786221
49	0.00283764698891132	0.00567529397782264	0.997162353011089
50	0.0161007592955575	0.0322015185911150	0.983899240704442
51	0.0119572501348120	0.0239145002696241	0.988042749865188
52	0.00846032823581096	0.0169206564716219	0.991539671764189
53	0.0215663006136068	0.0431326012272135	0.978433699386393
54	0.484968666625315	0.96993733325063	0.515031333374685
55	0.45613798505975	0.9122759701195	0.54386201494025
56	0.411940320162341	0.823880640324683	0.588059679837659
57	0.5872100383737	0.825579923252601	0.412789961626301
58	0.539640396533212	0.920719206933575	0.460359603466788
59	0.500676332733275	0.99864733453345	0.499323667266725
60	0.479746266239577	0.959492532479154	0.520253733760423
61	0.447978162180258	0.895956324360517	0.552021837819742
62	0.427292577391017	0.854585154782034	0.572707422608983
63	0.440907059054746	0.881814118109492	0.559092940945254
64	0.394939792337044	0.789879584674087	0.605060207662956
65	0.350221237395006	0.700442474790012	0.649778762604994
66	0.322212344170970	0.644424688341939	0.67778765582903
67	0.281756133099632	0.563512266199263	0.718243866900368
68	0.249260446083868	0.498520892167735	0.750739553916132
69	0.231727030830455	0.46345406166091	0.768272969169545
70	0.19927067160303	0.39854134320606	0.80072932839697
71	0.297994203536021	0.595988407072042	0.702005796463979
72	0.265076535790363	0.530153071580727	0.734923464209637
73	0.235494555629481	0.470989111258962	0.764505444370519
74	0.211609142850749	0.423218285701497	0.788390857149251
75	0.189362123543238	0.378724247086477	0.810637876456762
76	0.162145887178628	0.324291774357257	0.837854112821372
77	0.136445710767615	0.272891421535231	0.863554289232385
78	0.115283184171311	0.230566368342621	0.88471681582869
79	0.0948502806591268	0.189700561318254	0.905149719340873
80	0.111082944859067	0.222165889718134	0.888917055140933
81	0.144828972884646	0.289657945769292	0.855171027115354
82	0.119425017458974	0.238850034917948	0.880574982541026
83	0.105645089498412	0.211290178996824	0.894354910501588
84	0.157282706598797	0.314565413197594	0.842717293401203
85	0.131955392717563	0.263910785435125	0.868044607282437
86	0.108463239655613	0.216926479311225	0.891536760344387
87	0.116962538420601	0.233925076841201	0.8830374615794
88	0.133234430590894	0.266468861181787	0.866765569409106
89	0.108997978613639	0.217995957227278	0.89100202138636
90	0.088179579375356	0.176359158750712	0.911820420624644
91	0.212927090127833	0.425854180255665	0.787072909872167
92	0.178745994732712	0.357491989465424	0.821254005267288
93	0.27339508054801	0.54679016109602	0.72660491945199
94	0.239009482060125	0.478018964120249	0.760990517939875
95	0.203332343825051	0.406664687650101	0.79666765617495
96	0.174598411835197	0.349196823670394	0.825401588164803
97	0.153728460694983	0.307456921389966	0.846271539305017
98	0.149113787082299	0.298227574164597	0.850886212917701
99	0.121592577229098	0.243185154458197	0.878407422770902
100	0.105008829166532	0.210017658333063	0.894991170833468
101	0.0908134934105922	0.181626986821184	0.909186506589408
102	0.0718012745061188	0.143602549012238	0.928198725493881
103	0.06443064531159	0.12886129062318	0.93556935468841
104	0.0500233597319862	0.100046719463972	0.949976640268014
105	0.0433712064147285	0.086742412829457	0.956628793585272
106	0.055419861006554	0.110839722013108	0.944580138993446
107	0.0421199585818998	0.0842399171637996	0.9578800414181
108	0.0589913331174004	0.117982666234801	0.9410086668826
109	0.0473426932530464	0.0946853865060929	0.952657306746954
110	0.0526405956336863	0.105281191267373	0.947359404366314
111	0.0454761235106368	0.0909522470212737	0.954523876489363
112	0.072247083882384	0.144494167764768	0.927752916117616
113	0.0616643221691943	0.123328644338389	0.938335677830806
114	0.0556150582794884	0.111230116558977	0.944384941720512
115	0.0651767631012029	0.130353526202406	0.934823236898797
116	0.0737540990301218	0.147508198060244	0.926245900969878
117	0.0601401661078772	0.120280332215754	0.939859833892123
118	0.0657202992045995	0.131440598409199	0.9342797007954
119	0.0517199993188667	0.103439998637733	0.948280000681133
120	0.0385131162509967	0.0770262325019933	0.961486883749003
121	0.0270541691651289	0.0541083383302578	0.972945830834871
122	0.0236067988419885	0.0472135976839771	0.976393201158011
123	0.0174479280080973	0.0348958560161945	0.982552071991903
124	0.0162974270020861	0.0325948540041721	0.983702572997914
125	0.0193522649228784	0.0387045298457568	0.980647735077122
126	0.0124161643544246	0.0248323287088492	0.987583835645575
127	0.0110226423787622	0.0220452847575244	0.988977357621238
128	0.0089646938146154	0.0179293876292308	0.991035306185385
129	0.00575283325874285	0.0115056665174857	0.994247166741257
130	0.00604866322402902	0.0120973264480580	0.993951336775971
131	0.00424542840605981	0.00849085681211962	0.99575457159394
132	0.00301190229503720	0.00602380459007441	0.996988097704963
133	0.00162944457687243	0.00325888915374485	0.998370555423128
134	0.358899549686884	0.717799099373767	0.641100450313116
135	0.881741815307287	0.236516369385426	0.118258184692713
136	0.817793814350214	0.364412371299572	0.182206185649786
137	0.700978212757405	0.59804357448519	0.299021787242595
138	0.53789470895261	0.92421058209478	0.46210529104739

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	8	0.0610687022900763	NOK
5% type I error level	34	0.259541984732824	NOK
10% type I error level	54	0.412213740458015	NOK