Multiple Linear Regression - Estimated Regression Equation

Persoonlijke_redenen[t] = + 7.80479634304143 + 0.0803501248472529`Carrièremogelijkheden`[t] + 0.401757129542155Geen_Motivatie[t] + 0.346563713966344Leermogelijkheden[t] + 0.0272609904231642Ouders[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)	7.80479634304143	4.467205	1.7471	0.082792	0.041396
`Carrièremogelijkheden`	0.0803501248472529	0.077406	1.038	0.301033	0.150516
Geen_Motivatie	0.401757129542155	0.151553	2.6509	0.008945	0.004473
Leermogelijkheden	0.346563713966344	0.05562	6.2309	0	0
Ouders	0.0272609904231642	0.077773	0.3505	0.72647	0.363235

Multiple Linear Regression - Regression Statistics
Multiple R	0.540252823616273
R-squared	0.291873113425356
Adjusted R-squared	0.271784407423239
F-TEST (value)	14.5292142457852
F-TEST (DF numerator)	4
F-TEST (DF denominator)	141
p-value	5.84552628524193e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.96128070174827
Sum Squared Residuals	3470.61717441711

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	26	34.5685464169613	-8.56854641696128
2	25	28.4791585736927	-3.47915857369266
3	28	30.4342736292131	-2.43427362921313
4	30	28.5406648327236	1.45933516727636
5	28	28.1452075360249	-0.145207536024866
6	40	33.2591045583693	6.74089544163067
7	28	26.9622271638254	1.03777283617463
8	27	32.4870598520116	-5.48705985201163
9	25	32.6211705460125	-7.62117054601245
10	27	28.7209703599272	-1.72097035992717
11	32	28.0656123175645	3.93438768243552
12	28	29.9842878463621	-1.98428784636215
13	21	28.9941552166191	-7.99415521661913
14	40	36.3005970697945	3.69940293020552
15	29	29.2358900365022	-0.235890036502157
16	27	22.8272764360417	4.17272356395829
17	31	36.2202404396413	-5.22024043964134
18	33	28.1710291747199	4.8289708252801
19	28	31.5067641826860	-3.50676418268596
20	26	23.3137017456155	2.68629825438449
21	25	27.9677695193857	-2.96776951938575
22	37	31.8198635556549	5.18013644434508
23	13	23.5483427944329	-10.5483427944329
24	32	25.8660257581151	6.13397424188488
25	32	30.5928695977559	1.40713040224408
26	38	31.7666714336558	6.23332856634423
27	30	30.8045612060287	-0.80456120602868
28	33	34.4721411527909	-1.47214115279087
29	22	27.9048351015185	-5.90483510151848
30	29	24.5013774733354	4.49862252666456
31	33	31.9652440564953	1.03475594350467
32	31	25.0457393878368	5.9542606121632
33	23	28.563039320808	-5.56303932080798
34	42	37.7994265096206	4.20057349037941
35	35	31.3920853175735	3.60791468242649
36	31	27.3437010758231	3.65629892417688
37	31	28.9906245943511	2.00937540564894
38	38	30.8968590777509	7.1031409222491
39	34	34.087782032031	-0.0877820320309693
40	33	31.450240908263	1.54975909173704
41	23	29.2491806528361	-6.24918065283609
42	18	24.9905589828728	-6.99055898287277
43	33	30.1742764012800	2.82572359871995
44	26	30.9917610344536	-4.99176103445359
45	29	27.1061878288553	1.89381217114468
46	23	30.6529430103647	-7.65294301036466
47	18	27.2536039675218	-9.25360396752179
48	36	31.5283837643834	4.47161623561656
49	21	24.0284552605516	-3.02845526055157
50	31	32.424037274901	-1.42403727490102
51	31	27.2592453762475	3.74075462375253
52	29	29.0975707801979	-0.0975707801978863
53	24	28.1066702334562	-4.10667023345622
54	35	24.5533788408587	10.4466211591413
55	37	31.6290366226928	5.37096337730723
56	29	26.7219447062823	2.27805529371775
57	31	27.4156535919812	3.58434640801885
58	34	31.2342507607235	2.76574923927652
59	38	29.7376155790124	8.26238442098762
60	27	34.3986723185532	-7.39867231855322
61	33	29.6585888077064	3.34141119229358
62	36	35.6333042911686	0.366695708831389
63	27	30.4809599432188	-3.48095994321878
64	33	31.4710925729618	1.52890742703820
65	24	25.4181377511100	-1.41813775110996
66	31	31.9517604756231	-0.951760475623074
67	31	32.324920250589	-1.32492025058899
68	23	28.5630458261139	-5.56304582611387
69	38	34.7794701082355	3.22052989176447
70	30	27.95591643706	2.04408356293999
71	39	35.6362469503646	3.36375304963542
72	28	23.6553019908915	4.34469800910845
73	39	30.2979686770973	8.70203132290269
74	19	26.1909503744663	-7.19095037446631
75	32	28.9626986745043	3.03730132549570
76	32	28.5378826115365	3.46211738846346
77	35	29.9325545920088	5.0674454079912
78	42	34.539852580116	7.46014741988399
79	25	29.6467357253807	-4.64673572538069
80	11	28.5728762812253	-17.5728762812253
81	31	30.7296660306747	0.270333969325325
82	30	23.1424996060801	6.85750039391993
83	30	33.7621729703385	-3.76217297033851
84	31	29.8774446480904	1.12255535190962
85	28	32.0035197512	-4.00351975119998
86	34	28.945946079228	5.05405392077203
87	32	28.2408709044203	3.75912909557968
88	30	30.1595594438298	-0.159559443829771
89	27	27.9495970882990	-0.949597088298955
90	36	36.5982802116402	-0.598280211640183
91	32	27.3677013748680	4.63229862513197
92	27	25.6885664078384	1.31143359216161
93	35	32.8658480250914	2.13415197490855
94	34	28.8041027059615	5.19589729403848
95	32	30.0387393661629	1.96126063383712
96	28	27.8525073787872	0.147492621212848
97	29	32.0566153909300	-3.05661539092996
98	18	29.9821835652104	-11.9821835652104
99	34	31.6863213088085	2.31367869119148
100	35	28.6167933846557	6.38320661534434
101	34	29.2316814741987	4.76831852580129
102	26	26.8792108159779	-0.879210815977853
103	30	28.3569956265668	1.64300437343320
104	35	33.8998077813015	1.10019221869848
105	17	26.1622565376209	-9.16225653762091
106	34	28.336034468987	5.66396553101298
107	30	30.277678954247	-0.277678954247020
108	31	26.8918234922764	4.10817650772359
109	25	25.7150594812629	-0.715059481262907
110	16	25.2211074675736	-9.22110746757359
111	35	32.6820053703139	2.31799462968605
112	28	25.0672820031828	2.93271799681721
113	42	32.2494436174688	9.75055638253123
114	30	31.5039884668048	-1.50398846680475
115	37	34.1331319818835	2.86686801811646
116	26	26.8818770389781	-0.881877038978112
117	28	27.8727840910257	0.127215908974335
118	33	31.6813578401182	1.31864215988179
119	29	28.2716755277233	0.728324472276659
120	21	24.9451190560569	-3.94511905605693
121	38	33.5253181474884	4.47468185251158
122	18	30.3566927149412	-12.3566927149412
123	38	32.4974847755011	5.50251522449893
124	30	28.0089025839090	1.99109741609095
125	35	33.4169391152193	1.58306088478065
126	34	33.4771090100973	0.522890989902743
127	21	25.1562227012576	-4.15622270125759
128	30	31.343198240147	-1.34319824014698
129	32	24.9430082695993	7.05699173040068
130	23	30.8276201394543	-7.82762013945429
131	31	36.7373543743313	-5.73735437433132
132	26	26.9084796052836	-0.908479605283575
133	29	31.1071113342955	-2.10711133429553
134	28	32.6598878025076	-4.65988780250764
135	29	28.773969517388	0.226030482612012
136	36	33.4156092563722	2.58439074362783
137	36	30.3608882666329	5.63911173336714
138	31	32.4080460913174	-1.40804609131745
139	30	29.8983158287069	0.101684171293118
140	29	30.6480630133317	-1.64806301333173
141	35	32.3968579384153	2.60314206158469
142	26	30.1407990496709	-4.14079904967088
143	25	26.6437953448559	-1.64379534485589
144	25	29.173053918624	-4.17305391862399
145	20	27.6639581755974	-7.66395817559738
146	27	30.5012283324315	-3.50122833243147

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.778904434512768	0.442191130974464	0.221095565487232
9	0.815486197952955	0.369027604094089	0.184513802047045
10	0.712546404008694	0.574907191982612	0.287453595991306
11	0.638285821390546	0.723428357218909	0.361714178609454
12	0.546518662062971	0.906962675874058	0.453481337937029
13	0.66180822147311	0.676383557053779	0.338191778526889
14	0.70460925178234	0.59078149643532	0.29539074821766
15	0.616893253045359	0.766213493909282	0.383106746954641
16	0.574951809269166	0.850096381461668	0.425048190730834
17	0.532589570094839	0.934820859810322	0.467410429905161
18	0.475745069972837	0.951490139945674	0.524254930027163
19	0.411978420405358	0.823956840810715	0.588021579594642
20	0.376835483096960	0.753670966193921	0.62316451690304
21	0.307324065378455	0.61464813075691	0.692675934621545
22	0.419895962967869	0.839791925935738	0.580104037032131
23	0.675599396805923	0.648801206388155	0.324400603194077
24	0.677415266072443	0.645169467855114	0.322584733927557
25	0.624488966770941	0.751022066458118	0.375511033229059
26	0.678982081210764	0.642035837578473	0.321017918789236
27	0.618036744661834	0.763926510676331	0.381963255338166
28	0.587594155160494	0.824811689679012	0.412405844839506
29	0.606799880744797	0.786400238510405	0.393200119255203
30	0.588191130586328	0.823617738827344	0.411808869413672
31	0.529535899515633	0.940928200968734	0.470464100484367
32	0.545881009356048	0.908237981287903	0.454118990643952
33	0.549984768467958	0.900030463064083	0.450015231532042
34	0.558130230896364	0.883739538207272	0.441869769103636
35	0.556245022086359	0.887509955827281	0.443754977913641
36	0.542839987725206	0.914320024549589	0.457160012274794
37	0.496614810560682	0.993229621121364	0.503385189439318
38	0.532541963531025	0.93491607293795	0.467458036468975
39	0.476964868455405	0.95392973691081	0.523035131544595
40	0.423346777739021	0.846693555478042	0.576653222260979
41	0.449222674687588	0.898445349375176	0.550777325312412
42	0.516479524902634	0.967040950194733	0.483520475097366
43	0.484957352312477	0.969914704624954	0.515042647687523
44	0.475545904433933	0.951091808867867	0.524454095566067
45	0.43289955864277	0.86579911728554	0.56710044135723
46	0.498530300411884	0.997060600823769	0.501469699588116
47	0.598603598217163	0.802792803565673	0.401396401782837
48	0.591764011717808	0.816471976564384	0.408235988282192
49	0.556598892809376	0.886802214381248	0.443401107190624
50	0.509030228138654	0.981939543722691	0.490969771861346
51	0.492195709405078	0.984391418810155	0.507804290594922
52	0.441327208067762	0.882654416135525	0.558672791932238
53	0.413340475204151	0.826680950408303	0.586659524795849
54	0.51429859423526	0.97140281152948	0.48570140576474
55	0.538067580542142	0.923864838915716	0.461932419457858
56	0.499179468832809	0.998358937665618	0.500820531167191
57	0.500376536778833	0.999246926442334	0.499623463221167
58	0.467268465277807	0.934536930555614	0.532731534722193
59	0.554004979264936	0.891990041470129	0.445995020735064
60	0.596425142075416	0.807149715849168	0.403574857924584
61	0.574591761256734	0.850816477486532	0.425408238743266
62	0.530413899390676	0.93917220121865	0.469586100609325
63	0.50333805430039	0.99332389139922	0.49666194569961
64	0.458954443506997	0.917908887013994	0.541045556493003
65	0.415742332269027	0.831484664538054	0.584257667730973
66	0.369888664713722	0.739777329427444	0.630111335286278
67	0.327872065861289	0.655744131722579	0.672127934138711
68	0.340574255849619	0.681148511699238	0.659425744150381
69	0.319264734844988	0.638529469689976	0.680735265155012
70	0.28313023454785	0.5662604690957	0.71686976545215
71	0.264961147757985	0.52992229551597	0.735038852242015
72	0.253913191454833	0.507826382909665	0.746086808545167
73	0.341380827314387	0.682761654628774	0.658619172685613
74	0.399619146237643	0.799238292475285	0.600380853762357
75	0.370579010414127	0.741158020828255	0.629420989585872
76	0.347864232062444	0.695728464124887	0.652135767937556
77	0.349430509577277	0.698861019154555	0.650569490422723
78	0.409831391261444	0.819662782522888	0.590168608738556
79	0.414350708155617	0.828701416311235	0.585649291844383
80	0.89152465905965	0.216950681880701	0.108475340940351
81	0.872135360280294	0.255729279439413	0.127864639719706
82	0.917983820656237	0.164032358687525	0.0820161793437626
83	0.908362317729337	0.183275364541326	0.0916376822706628
84	0.890986951550373	0.218026096899254	0.109013048449627
85	0.882721656586876	0.234556686826249	0.117278343413124
86	0.881315587102416	0.237368825795167	0.118684412897584
87	0.86841104838722	0.263177903225558	0.131588951612779
88	0.839559116875456	0.320881766249088	0.160440883124544
89	0.808352196951251	0.383295606097498	0.191647803048749
90	0.772809983984985	0.45438003203003	0.227190016015015
91	0.807461160023239	0.385077679953522	0.192538839976761
92	0.776305655660629	0.447388688678742	0.223694344339371
93	0.760079881497999	0.479840237004002	0.239920118502001
94	0.775381014978958	0.449237970042085	0.224618985021042
95	0.740990129696984	0.518019740606032	0.259009870303016
96	0.699733661360939	0.600532677278122	0.300266338639061
97	0.668113790073184	0.663772419853632	0.331886209926816
98	0.882534854106083	0.234930291787834	0.117465145893917
99	0.863748407559847	0.272503184880306	0.136251592440153
100	0.86949401330037	0.261011973399259	0.130505986699630
101	0.86757146769101	0.264857064617982	0.132428532308991
102	0.854554285231502	0.290891429536995	0.145445714768497
103	0.839745163613292	0.320509672773415	0.160254836386708
104	0.804485264939401	0.391029470121198	0.195514735060599
105	0.883654278804799	0.232691442390403	0.116345721195202
106	0.899621998243895	0.200756003512211	0.100378001756105
107	0.873620154686978	0.252759690626044	0.126379845313022
108	0.914853697543266	0.170292604913468	0.0851463024567339
109	0.890054170971964	0.219891658056073	0.109945829028036
110	0.917734611069709	0.164530777860583	0.0822653889302913
111	0.905524872449473	0.188950255101055	0.0944751275505274
112	0.881702281327566	0.236595437344868	0.118297718672434
113	0.945960204639657	0.108079590720685	0.0540397953603426
114	0.926793949247665	0.146412101504670	0.0732060507523352
115	0.910731254559288	0.178537490881425	0.0892687454407124
116	0.89087630164056	0.218247396718879	0.109123698359440
117	0.868955405730246	0.262089188539509	0.131044594269754
118	0.834092986749619	0.331814026500763	0.165907013250381
119	0.793269200475399	0.413461599049203	0.206730799524601
120	0.769871582543021	0.460256834913958	0.230128417456979
121	0.800949815818845	0.398100368362311	0.199050184181155
122	0.961929655869262	0.0761406882614753	0.0380703441307377
123	0.970089662587913	0.0598206748241744	0.0299103374120872
124	0.95406499818409	0.091870003631819	0.0459350018159095
125	0.93212019325426	0.135759613491481	0.0678798067457403
126	0.914158515064586	0.171682969870827	0.0858414849354136
127	0.913414503082466	0.173170993835069	0.0865854969175343
128	0.879255645763407	0.241488708473186	0.120744354236593
129	0.887803686637628	0.224392626724744	0.112196313362372
130	0.914124655364858	0.171750689270283	0.0858753446351417
131	0.93933732820087	0.12132534359826	0.06066267179913
132	0.903133873506081	0.193732252987839	0.0968661264939193
133	0.852435054651004	0.295129890697992	0.147564945348996
134	0.792392800204572	0.415214399590855	0.207607199795427
135	0.700022740612337	0.599954518775326	0.299977259387663
136	0.598102670192813	0.803794659614374	0.401897329807187
137	0.912763934318	0.174472131363999	0.0872360656819995
138	0.828180823485135	0.34363835302973	0.171819176514865

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	0	0	OK
10% type I error level	3	0.0229007633587786	OK