Multiple Linear Regression - Estimated Regression Equation

Carrièremogelijkheden[t] = + 40.7659808745792 -0.215882565886822Geen_Motivatie[t] + 0.177165440935508Leermogelijkheden[t] + 0.0943861603943652Persoonlijke_redenen[t] -0.136765672292484Ouders[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)	40.7659808745792	3.487571	11.6889	0	0
Geen_Motivatie	-0.215882565886822	0.167317	-1.2903	0.199071	0.099535
Leermogelijkheden	0.177165440935508	0.066423	2.6672	0.008543	0.004271
Persoonlijke_redenen	0.0943861603943652	0.090928	1.038	0.301033	0.150516
Ouders	-0.136765672292484	0.083539	-1.6372	0.103828	0.051914

Multiple Linear Regression - Regression Statistics
Multiple R	0.348733567865764
R-squared	0.121615101356386
Adjusted R-squared	0.0966963808274888
F-TEST (value)	4.88047133942352
F-TEST (DF numerator)	4
F-TEST (DF denominator)	141
p-value	0.00102534486890948
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	5.37718131977644
Sum Squared Residuals	4076.88513135113

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	46	46.9123052859971	-0.91230528599714
2	44	46.2565414694413	-2.25654146944133
3	42	45.2717744187325	-3.27177441873248
4	41	44.7459832272464	-3.74598322724639
5	48	43.6154175667737	4.38458243322631
6	49	48.4651604637683	0.534839536231693
7	51	45.4767073050114	5.52329269498862
8	47	46.4735124798931	0.526487520106907
9	49	46.3019891691595	2.69801083084051
10	46	46.15453343559	-0.154533435589972
11	51	43.9180644195979	7.08193558040212
12	54	44.8193949895203	9.18060501047972
13	52	44.4881893463511	7.51181065364887
14	52	49.6262016567225	2.37379834327748
15	45	44.6919968354950	0.308003164504952
16	52	43.888417184688	8.11158281531203
17	56	48.9926087790601	7.00739122093994
18	54	44.5767622792173	9.4232377207827
19	50	44.7996095183158	5.2003904816842
20	35	41.699609710114	-6.69960971011397
21	48	47.1836222602195	0.816377739780457
22	37	46.7335457223743	-9.73354572237433
23	47	42.4491769206212	4.55082307937879
24	31	45.0913066915321	-14.0913066915321
25	45	46.1791327394247	-1.17913273942474
26	47	47.2941950346526	-0.294195034652579
27	44	46.4410572041565	-2.44105720415649
28	30	44.5094238914649	-14.5094238914649
29	40	42.7137013762833	-2.71370137628331
30	44	45.8644102811952	-1.86441028119520
31	43	43.8651664724115	-0.865166472411477
32	51	43.9957957690639	7.00420423093611
33	48	45.3435410185472	2.65645898145284
34	55	49.2523449219779	5.74765507802209
35	48	47.2614171394665	0.738582860533452
36	53	44.1876737589052	8.81232624109484
37	49	46.1562790804002	2.84372091959978
38	44	44.3526636407467	-0.352663640746715
39	45	47.644243810564	-2.64424381056398
40	40	45.471856519811	-5.47185651981104
41	44	41.0431637020894	2.95683629791056
42	41	42.7300585589858	-1.73005855898583
43	46	44.3642450007139	1.63575499928610
44	47	46.2175272449266	0.782472755073368
45	48	43.0587907421242	4.94120925787584
46	43	43.7574652685861	-0.75746526858614
47	46	44.8871765829387	1.11282341706126
48	53	46.8878575042853	6.11214249571468
49	33	42.6992859269409	-9.69928592694093
50	47	49.1992243090307	-2.19922430903068
51	43	44.6442722929584	-1.64427229295841
52	45	45.7343751836695	-0.734375183669551
53	49	46.098604781816	2.90139521818396
54	45	40.3608343969835	4.63916560301648
55	37	47.6909054284217	-10.6909054284217
56	42	45.0644305448788	-3.06443054487884
57	43	45.6592807777039	-2.65928077770395
58	44	46.3464369453173	-2.34643694531728
59	39	46.5855332709105	-7.58553327091055
60	37	42.8371780536933	-5.83717805369331
61	53	46.5222168421245	6.47778315787554
62	48	48.9519749119722	-0.951974911972193
63	47	47.0748586603778	-0.0748586603777539
64	49	47.3116781431525	1.68832185684746
65	47	43.569906865937	3.43009313406301
66	56	47.5332028392413	8.46679716075874
67	51	47.4772367042348	3.52276329576517
68	43	45.1276584526603	-2.12765845266034
69	51	49.0022989167767	1.99770108322327
70	36	43.748223752556	-7.74822375255598
71	55	48.6750407987713	6.3249592012287
72	33	43.2000726188211	-10.2000726188211
73	42	46.9938505445329	-4.99385054453290
74	43	43.3559410421867	-0.355941042186717
75	44	46.2910650094376	-2.29106500943761
76	47	45.7999684552741	1.20003154472588
77	43	44.67253398374	-1.67253398373999
78	47	48.9695465414767	-1.96954654147674
79	41	41.8597982493342	-0.859798249334152
80	53	42.1131204922517	10.8868795077483
81	47	45.6239289401361	1.37607105986395
82	23	44.078575049605	-21.0785750496050
83	43	48.3263265272161	-5.32632652721615
84	47	44.7326562224690	2.26734377753105
85	47	47.1940782230517	-0.194078223051731
86	49	44.3992997387184	4.60070026128159
87	50	46.6996793826234	3.30032061737664
88	43	47.3580171415609	-4.35801714156085
89	44	45.2703888746041	-1.27038887460414
90	49	48.2294294255585	0.77057057444154
91	47	44.3557312999043	2.6442687000957
92	39	42.7547208639391	-3.75472086393914
93	49	46.1344763847081	2.86552361529186
94	41	45.9500236511115	-4.95002365111153
95	40	44.447024281255	-4.44702428125504
96	38	42.8524723117169	-4.85247231171693
97	43	47.2093474898518	-4.20934748985176
98	55	44.4053470646914	10.5946529353086
99	46	46.9166503930751	-0.916650393075118
100	54	46.7093065192215	7.29069348077852
101	47	46.2235549956965	0.776445004303501
102	35	45.1183539355116	-10.1183539355116
103	41	43.8677404147933	-2.86774041479334
104	53	48.3071607750245	4.69283922497553
105	44	43.7142314105679	0.285768589432078
106	48	43.2243748230925	4.77562517690751
107	49	45.0039482054679	3.99605179453206
108	39	42.8431677945682	-3.84316779456822
109	45	42.9358457913848	2.06415420861516
110	34	44.5427069361107	-10.5427069361107
111	46	45.3828783911737	0.61712160882627
112	45	44.7852945513245	0.214705448675528
113	53	47.5522230139927	5.44777698600732
114	51	45.6377121804567	5.36228781954329
115	45	49.8480234523746	-4.84802345237463
116	50	45.2879349842227	4.71206501577735
117	41	44.4246643390062	-3.42466433900625
118	44	47.9567893796636	-3.95678937966365
119	43	45.1237619672687	-2.12376196726869
120	42	41.2638595719441	0.7361404280559
121	48	48.4535535839151	-0.453553583915084
122	45	43.8944650393235	1.10553496067654
123	48	45.2498381069466	2.75016189305340
124	48	44.4880182490248	3.51198175097517
125	53	48.8138236955514	4.18617630444862
126	45	46.7600992495782	-1.76009924957815
127	45	41.878691893186	3.12130810681397
128	50	45.8089758728594	4.19102412714057
129	48	43.0478035812838	4.95219641871625
130	41	46.4873332014463	-5.48733320144625
131	53	46.6402224866589	6.35977751334114
132	40	44.8389208423939	-4.83892084239389
133	49	44.5800645654822	4.41993543451782
134	46	43.3818884089173	2.61811159108269
135	48	46.6513351210739	1.34866487892609
136	43	48.7154780486468	-5.71547804864683
137	53	44.965553699966	8.03444630003395
138	51	46.8279063628827	4.17209363711735
139	41	45.8304439877556	-4.83044398775563
140	45	45.5029262514193	-0.502926251419318
141	44	43.3944875984742	0.605512401525817
142	43	45.0426023293007	-2.04260232930072
143	34	43.769925965897	-9.76992596589701
144	38	46.1042094307854	-8.10420943078543
145	40	42.3982842365759	-2.39828423657595
146	48	42.4992673556434	5.50073264435664

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.468365866722610	0.936731733445221	0.53163413327739
9	0.370426664413245	0.740853328826489	0.629573335586755
10	0.235782968899663	0.471565937799326	0.764217031100337
11	0.230647652435456	0.461295304870911	0.769352347564544
12	0.25990450403263	0.51980900806526	0.74009549596737
13	0.244272175793062	0.488544351586124	0.755727824206938
14	0.241005526802587	0.482011053605175	0.758994473197413
15	0.169404333944410	0.338808667888819	0.83059566605559
16	0.121775904436008	0.243551808872017	0.878224095563992
17	0.194312113542997	0.388624227085994	0.805687886457003
18	0.246020637377311	0.492041274754622	0.753979362622689
19	0.201710923620229	0.403421847240459	0.79828907637977
20	0.473250929263986	0.946501858527972	0.526749070736014
21	0.414098413771174	0.828196827542349	0.585901586228826
22	0.594316063596618	0.811367872806763	0.405683936403382
23	0.534086306174347	0.931827387651306	0.465913693825653
24	0.901121640460748	0.197756719078504	0.0988783595392519
25	0.869632282126646	0.260735435746707	0.130367717873354
26	0.83139572676901	0.337208546461979	0.168604273230990
27	0.799588509133897	0.400822981732206	0.200411490866103
28	0.921984633936028	0.156030732127945	0.0780153660639723
29	0.901986919108323	0.196026161783354	0.0980130808916768
30	0.900362660030955	0.19927467993809	0.099637339969045
31	0.879390141156417	0.241219717687165	0.120609858843583
32	0.887954187661497	0.224091624677005	0.112045812338503
33	0.860912043805699	0.278175912388603	0.139087956194301
34	0.872864747736117	0.254270504527766	0.127135252263883
35	0.84098076134966	0.31803847730068	0.15901923865034
36	0.889207330077978	0.221585339844044	0.110792669922022
37	0.864937224379329	0.270125551241343	0.135062775620671
38	0.834939194543257	0.330121610913485	0.165060805456743
39	0.80747356896973	0.38505286206054	0.19252643103027
40	0.801931951680696	0.396136096638609	0.198068048319304
41	0.788110905773134	0.423778188453733	0.211889094226866
42	0.760752357700799	0.478495284598402	0.239247642299201
43	0.721372756101877	0.557254487796245	0.278627243898123
44	0.675565297966269	0.648869404067462	0.324434702033731
45	0.659071656362817	0.681856687274365	0.340928343637183
46	0.610007125298187	0.779985749403626	0.389992874701813
47	0.567037971274587	0.865924057450827	0.432962028725413
48	0.569902788842216	0.860194422315568	0.430097211157784
49	0.68718549746523	0.62562900506954	0.31281450253477
50	0.672958959119396	0.654082081761208	0.327041040880604
51	0.63585821308278	0.728283573834439	0.364141786917219
52	0.590118025956424	0.819763948087153	0.409881974043576
53	0.554160693994065	0.89167861201187	0.445839306005935
54	0.548452219875231	0.903095560249538	0.451547780124769
55	0.697378781232395	0.60524243753521	0.302621218767605
56	0.673883820424535	0.652232359150931	0.326116179575465
57	0.645186594212109	0.709626811575783	0.354813405787891
58	0.606483229464991	0.787033541070017	0.393516770535009
59	0.651594087316446	0.696811825367108	0.348405912683554
60	0.669161942749091	0.661676114501817	0.330838057250909
61	0.692582271599764	0.614835456800472	0.307417728400236
62	0.652216121085372	0.695567757829255	0.347783878914628
63	0.606490637712525	0.78701872457495	0.393509362287475
64	0.563915080136446	0.872169839727107	0.436084919863554
65	0.542850894946644	0.914298210106712	0.457149105053356
66	0.619715644347253	0.760568711305494	0.380284355652747
67	0.594292338899351	0.811415322201298	0.405707661100649
68	0.555552722177687	0.888894555644626	0.444447277822313
69	0.513737057541284	0.972525884917432	0.486262942458716
70	0.569554790176696	0.860890419646608	0.430445209823304
71	0.58939657220647	0.82120685558706	0.41060342779353
72	0.700348109310995	0.599303781378011	0.299651890689005
73	0.691260110649615	0.61747977870077	0.308739889350385
74	0.64942183983369	0.701156320332621	0.350578160166310
75	0.610807743578995	0.778384512842009	0.389192256421005
76	0.569156880082234	0.861686239835532	0.430843119917766
77	0.528448345741478	0.943103308517043	0.471551654258522
78	0.486307617054038	0.972615234108076	0.513692382945962
79	0.463983090278347	0.927966180556695	0.536016909721653
80	0.616257994068227	0.767484011863546	0.383742005931773
81	0.573709794058086	0.85258041188383	0.426290205941915
82	0.977266605675419	0.0454667886491621	0.0227333943245810
83	0.976496381642996	0.047007236714007	0.0235036183570035
84	0.969787360138628	0.0604252797227439	0.0302126398613719
85	0.960767840466651	0.0784643190666977	0.0392321595333488
86	0.956496526078684	0.0870069478426313	0.0435034739213156
87	0.95142453097889	0.0971509380422178	0.0485754690211089
88	0.94471859632298	0.110562807354042	0.0552814036770208
89	0.929703920331761	0.140592159336477	0.0702960796682385
90	0.91128620844271	0.177427583114580	0.0887137915572898
91	0.895514626305454	0.208970747389093	0.104485373694546
92	0.885520663275393	0.228958673449213	0.114479336724607
93	0.864871493169322	0.270257013661357	0.135128506830678
94	0.864119870999754	0.271760258000492	0.135880129000246
95	0.872222671711398	0.255554656577204	0.127777328288602
96	0.885031123579991	0.229937752840018	0.114968876420009
97	0.872609580113564	0.254780839772871	0.127390419886436
98	0.971223277089145	0.0575534458217105	0.0287767229108552
99	0.961627564181164	0.076744871637672	0.038372435818836
100	0.974328035615348	0.0513439287693035	0.0256719643846517
101	0.965047919957908	0.069904160084185	0.0349520800420925
102	0.982345267479628	0.0353094650407449	0.0176547325203724
103	0.980399863010624	0.0392002739787519	0.0196001369893760
104	0.98132707584282	0.0373458483143595	0.0186729241571798
105	0.978323509135726	0.0433529817285481	0.0216764908642741
106	0.972603148314957	0.0547937033700857	0.0273968516850428
107	0.96733049829508	0.0653390034098414	0.0326695017049207
108	0.97514946190755	0.0497010761848979	0.0248505380924489
109	0.966091485117302	0.0678170297653968	0.0339085148826984
110	0.975008980428268	0.049982039143464	0.024991019571732
111	0.96725411667451	0.065491766650978	0.032745883325489
112	0.954077329212579	0.0918453415748424	0.0459226707874212
113	0.946368794178218	0.107262411643564	0.053631205821782
114	0.95149196823293	0.0970160635341422	0.0485080317670711
115	0.942929622645374	0.114140754709251	0.0570703773546254
116	0.957400931748218	0.0851981365035645	0.0425990682517823
117	0.947227641041865	0.105544717916270	0.0527723589581349
118	0.93407369270229	0.131852614595421	0.0659263072977105
119	0.912948861677368	0.174102276645263	0.0870511383226316
120	0.88155818469216	0.236883630615679	0.118441815307839
121	0.843141765170672	0.313716469658656	0.156858234829328
122	0.824997946278318	0.350004107443365	0.175002053721682
123	0.796434066920221	0.407131866159557	0.203565933079779
124	0.75149677119973	0.497006457600539	0.248503228800270
125	0.754163123245575	0.491673753508851	0.245836876754425
126	0.713093340211037	0.573813319577925	0.286906659788963
127	0.718056610514349	0.563886778971302	0.281943389485651
128	0.695592273661513	0.608815452676975	0.304407726338488
129	0.674770215207954	0.650459569584092	0.325229784792046
130	0.598686232616573	0.802627534766853	0.401313767383427
131	0.57590908769747	0.848181824605061	0.424090912302531
132	0.49523398601927	0.99046797203854	0.50476601398073
133	0.460398662498829	0.920797324997657	0.539601337501171
134	0.421716929786215	0.84343385957243	0.578283070213785
135	0.347926517691047	0.695853035382095	0.652073482308953
136	0.349868319668889	0.699736639337777	0.650131680331111
137	0.697127756526979	0.605744486946042	0.302872243473021
138	0.727497451007378	0.545005097985243	0.272502548992622

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	0	0	OK
5% type I error level	8	0.0610687022900763	NOK
10% type I error level	23	0.175572519083969	NOK