Multiple Linear Regression - Estimated Regression Equation

Leermogelijkheden[t] = + 10.4030996633557 + 0.271109839294935Carrièremogelijkheden[t] -0.0155622357020903Geen_Motivatie[t] + 0.622975722980002Persoonlijke_redenen[t] -0.0921577738086978Ouders[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)	10.4030996633557	5.990108	1.7367	0.084622	0.042311
Carrièremogelijkheden	0.271109839294935	0.101645	2.6672	0.008543	0.004271
Geen_Motivatie	-0.0155622357020903	0.208191	-0.0747	0.94052	0.47026
Persoonlijke_redenen	0.622975722980002	0.099982	6.2309	0	0
Ouders	-0.0921577738086978	0.104029	-0.8859	0.377188	0.188594

Multiple Linear Regression - Regression Statistics
Multiple R	0.545772649084669
R-squared	0.297867784488897
Adjusted R-squared	0.277949140077234
F-TEST (value)	14.9542196915014
F-TEST (DF numerator)	4
F-TEST (DF denominator)	141
p-value	3.27302074332181e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	6.65177907022895
Sum Squared Residuals	6238.70923667816

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	52	36.7807076780796	15.2192923219204
2	39	36.3994611740857	2.60053882591434
3	42	36.7734664549446	5.22653354505537
4	35	38.3622880068664	-3.36228800686641
5	32	38.7376321145449	-6.73763211454485
6	49	46.6998906486214	2.30010935137861
7	33	40.1661572180902	-7.1661572180902
8	47	37.7825132498654	9.2174867501346
9	46	37.3396925682193	8.66030743178073
10	40	37.7424056652941	2.25759433470587
11	33	41.6132001267104	-8.61320012671036
12	39	39.9501889883772	-0.950188988377244
13	37	35.5079281179708	1.49207188202915
14	56	47.5898157046128	8.4101842953872
15	36	38.7315938672575	-2.73159386725745
16	24	39.4923469462766	-15.4923469462766
17	56	43.0830357906746	12.9169642093254
18	32	43.679047548534	-11.6790475485340
19	41	39.0033784717086	1.99662152829137
20	24	33.3688350481961	-9.36883504819609
21	42	37.1009228407324	4.89907715926764
22	47	40.8403832176726	6.15961678232741
23	25	29.4761709304864	-4.47617093048643
24	33	36.8516699931746	-3.85166999317464
25	43	40.1864188742602	2.81358112573976
26	45	44.7274039764541	0.272596023545876
27	44	38.8536731366227	5.14632686337731
28	46	36.4949668769866	9.50503312301338
29	31	32.9840901385186	-1.98409013851858
30	31	38.9380507731119	-7.93805077311194
31	42	39.283348237755	2.71665176224497
32	28	41.3133844322627	-13.3133844322627
33	38	35.8693179900706	2.1306820099294
34	59	48.911834477988	10.0881655220120
35	43	43.6669710539591	-0.666971053959148
36	29	42.5150551228117	-13.5150551228117
37	38	41.2929869251209	-3.29298692512086
38	39	43.0379677871848	-4.03796778718477
39	50	41.8464724821575	8.15352751784254
40	44	39.0540898341266	4.94591016587341
41	29	34.2606251806352	-5.26062518063517
42	29	30.4880394048713	-1.48803940487125
43	36	41.2791665794508	-5.27916657945082
44	43	37.5281686221202	5.47183137787981
45	28	39.5293611494402	-11.5293611494402
46	39	33.975168746042	5.02483125395801
47	35	32.5808507918155	2.41914920818449
48	43	45.2002693400724	-2.20026934007243
49	28	30.0959300856431	-2.09593008564309
50	49	41.4880294370006	7.51197056299943
51	33	39.3742923322231	-6.37429233222307
52	39	38.686122800555	0.313877199444978
53	36	37.5772612809217	-1.57726128092173
54	24	40.2121905670263	-16.2121905670263
55	47	41.4854876343335	5.51451236566653
56	34	37.8883555183723	-3.88835551837231
57	33	40.1881500607993	-7.18815006079926
58	43	41.4066093309472	1.59339066905278
59	41	42.5585252620946	-1.55852526209465
60	40	35.145579114215	4.85442088578503
61	39	43.6233777282606	-4.6233777282606
62	54	44.1822267674284	9.81777323257164
63	43	38.5353376760371	4.46466232396293
64	45	42.3546228234635	2.64537717653653
65	29	36.0368683261383	-7.03686832613827
66	45	43.2829135739941	1.7170864260059
67	47	41.6508910560933	5.34910894390667
68	38	34.4982065578938	3.50179344210616
69	52	46.2570699669753	5.74293003302474
70	34	36.4537921675396	-2.45379216753955
71	56	46.8131206947282	9.1868793052718
72	26	34.7176712322271	-8.7176712322271
73	42	44.0869882767681	-2.08698827676815
74	32	31.6532348064411	0.346765193558874
75	39	40.4682556778175	-1.46825567781749
76	37	41.1894274218936	-4.18942742189359
77	37	41.5430351956107	-4.54303519561071
78	52	47.3880601802894	4.61193981971056
79	31	34.8775626563278	-3.87756265632776
80	34	29.0729296227202	4.92707037727982
81	38	41.0415871632553	-3.04158716325533
82	29	33.0993332090246	-4.09933320902455
83	52	39.0277899306692	12.9722100693308
84	40	39.5527161870179	0.447283812982083
85	47	38.6975245299736	8.30247547002641
86	34	42.6544385179111	-8.6544385179111
87	37	42.479108044524	-5.47910804452398
88	43	39.3198254877973	3.68017451220266
89	37	37.0924659771935	-0.0924659771934753
90	55	43.9769855019777	11.0230144980223
91	36	39.9459052956781	-3.9459052956781
92	28	35.5059145259951	-7.50591452599514
93	47	42.5712765218257	4.42872347817429
94	38	40.7931575963819	-2.7931575963819
95	37	39.0295318207012	-2.02953182070121
96	32	35.6423403906586	-3.64234039065863
97	47	38.3126564338805	8.68734356611954
98	40	34.0992616073829	5.90073839261705
99	45	41.9643912452392	3.03560875476082
100	37	45.2481590230263	-8.24815902302633
101	38	42.6041321797689	-4.6041321797689
102	37	33.8607483886438	3.13925161135624
103	35	37.6405880520989	-2.64058805209892
104	50	44.7616091647098	5.23839083529018
105	32	31.0470242950108	0.952975704989153
106	32	41.830382035764	-9.83038203576398
107	38	40.3468511736085	-2.34685117360849
108	31	37.4448707750630	-6.44487077506296
109	27	36.2552532110395	-9.25525321103953
110	34	27.8362324242944	6.16376757570562
111	43	42.2486447039847	0.751355296015272
112	28	38.8004092680446	-10.8004092680446
113	44	49.014719216059	-5.01471921605904
114	43	40.4594064545591	2.54059354544095
115	53	44.3916285391625	8.60837146083747
116	33	38.6490959328353	-5.64909593283527
117	36	36.5179188513518	-0.517918851351792
118	46	41.4443002603302	4.55569973966981
119	36	38.2204986600718	-2.22049866007176
120	24	32.5658274702978	-8.56582747029783
121	50	45.1828293633665	4.81717063663355
122	40	31.433634281136	8.56636571886398
123	40	44.9972981753452	-4.99729817534521
124	32	40.4443724295484	-8.44437242954835
125	49	45.2223980337533	3.77760196624669
126	47	41.7387524726467	5.26124752735333
127	28	32.7963015143301	-4.79630151433012
128	41	40.8022765605208	0.197723439479178
129	25	41.1685017040603	-16.1685017040603
130	46	33.7872335673887	12.2127664326113
131	53	41.5623529133206	11.4376470866794
132	34	35.6459619827577	-1.64596198275774
133	40	39.263086581585	0.736913418415
134	46	36.1069081097591	9.89309189024088
135	38	40.2367145089094	-2.23671450890941
136	51	42.7656442685492	8.23435573145083
137	38	44.6317604615181	-6.63176046151815
138	45	41.7119243584979	3.28807564150215
139	41	38.1169391568445	2.8830608431555
140	42	38.3019294696181	3.69807053038186
141	36	41.9816827064171	-5.98168270641711
142	41	35.8907826220883	5.10921737791174
143	35	32.4903117216232	2.50968827837676
144	42	34.3120132692726	7.68798673072744
145	35	30.5257410377473	4.47425896225274
146	32	38.2055985249697	-6.2055985249697

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.839112873939943	0.321774252120114	0.160887126060057
9	0.844127202537948	0.311745594924104	0.155872797462052
10	0.776027391841235	0.447945216317531	0.223972608158765
11	0.90314079270318	0.193718414593638	0.0968592072968192
12	0.849358386979387	0.301283226041226	0.150641613020613
13	0.781836059205658	0.436327881588683	0.218163940794342
14	0.85796674335162	0.284066513296759	0.142033256648379
15	0.834027683800096	0.331944632399808	0.165972316199904
16	0.907601203417603	0.184797593164794	0.0923987965823972
17	0.952268642408198	0.0954627151836038	0.0477313575918019
18	0.982348159137068	0.0353036817258641	0.0176518408629321
19	0.972995275203906	0.0540094495921886	0.0270047247960943
20	0.97496654583718	0.0500669083256407	0.0250334541628204
21	0.981819586298998	0.0363608274020049	0.0181804137010024
22	0.980507967554925	0.038984064890151	0.0194920324450755
23	0.973440290202044	0.0531194195959122	0.0265597097979561
24	0.965004901379928	0.069990197240145	0.0349950986200725
25	0.95234278584376	0.0953144283124801	0.0476572141562401
26	0.934197992042725	0.131604015914551	0.0658020079572753
27	0.922784170540054	0.154431658919891	0.0772158294599456
28	0.914034520842302	0.171930958315396	0.085965479157698
29	0.89676317020599	0.206473659588021	0.103236829794011
30	0.88763598662972	0.224728026740559	0.112364013370279
31	0.860836403743975	0.278327192512050	0.139163596256025
32	0.921619702483294	0.156760595033412	0.0783802975167061
33	0.903015159810707	0.193969680378587	0.0969848401892933
34	0.912647229953758	0.174705540092483	0.0873527700462417
35	0.889470746903101	0.221058506193798	0.110529253096899
36	0.953372565799548	0.0932548684009032	0.0466274342004516
37	0.94067182327239	0.118656353455221	0.0593281767276104
38	0.941154833382052	0.117690333235896	0.0588451666179482
39	0.944553489386367	0.110893021227265	0.0554465106136327
40	0.93436602201838	0.131267955963240	0.0656339779816198
41	0.93630063536663	0.127398729266742	0.0636993646333709
42	0.918765740000816	0.162468519998368	0.0812342599991839
43	0.913885196589519	0.172229606820963	0.0861148034104813
44	0.909062541736454	0.181874916527093	0.0909374582635463
45	0.941206637921384	0.117586724157231	0.0587933620786157
46	0.933283214947605	0.133433570104790	0.0667167850523952
47	0.92197906780372	0.156041864392560	0.0780209321962802
48	0.903498040864788	0.193003918270424	0.0965019591352118
49	0.882557198131621	0.234885603736758	0.117442801868379
50	0.893002295323816	0.213995409352367	0.106997704676183
51	0.890784865444523	0.218430269110954	0.109215134555477
52	0.865310459233554	0.269379081532892	0.134689540766446
53	0.839074086708307	0.321851826583387	0.160925913291693
54	0.932201463444628	0.135597073110745	0.0677985365553725
55	0.92454732203224	0.150905355935519	0.0754526779677596
56	0.91199214966418	0.176015700671641	0.0880078503358206
57	0.920799297554525	0.15840140489095	0.079200702445475
58	0.90185498732353	0.19629002535294	0.09814501267647
59	0.8806532598148	0.2386934803704	0.1193467401852
60	0.878743618354252	0.242512763291495	0.121256381645748
61	0.867902191884724	0.264195616230553	0.132097808115276
62	0.893444593208696	0.213110813582608	0.106555406791304
63	0.879130358639363	0.241739282721273	0.120869641360637
64	0.856478519280811	0.287042961438377	0.143521480719189
65	0.861797839755658	0.276404320488685	0.138202160244342
66	0.835078143295423	0.329843713409154	0.164921856704577
67	0.822075814209852	0.355848371580295	0.177924185790148
68	0.798961955466412	0.402076089067176	0.201038044533588
69	0.785644745749706	0.428710508500587	0.214355254250294
70	0.752833225658372	0.494333548683256	0.247166774341628
71	0.783553431747064	0.432893136505871	0.216446568252935
72	0.804052159735852	0.391895680528295	0.195947840264148
73	0.773499567855797	0.453000864288406	0.226500432144203
74	0.740529199788964	0.518941600422072	0.259470800211036
75	0.702150892085347	0.595698215829305	0.297849107914653
76	0.678934720369498	0.642130559261003	0.321065279630502
77	0.654617846133771	0.690764307732458	0.345382153866229
78	0.631879221067933	0.736241557864135	0.368120778932067
79	0.599770528370485	0.800458943259031	0.400229471629516
80	0.581068084443528	0.837863831112944	0.418931915556472
81	0.545094755016001	0.909810489967997	0.454905244983999
82	0.523034095995901	0.953931808008198	0.476965904004099
83	0.653358370492279	0.693283259015443	0.346641629507721
84	0.60825093250719	0.78349813498562	0.39174906749281
85	0.6320327183138	0.735934563372399	0.367967281686200
86	0.66069376196801	0.67861247606398	0.33930623803199
87	0.649241532183199	0.701516935633602	0.350758467816801
88	0.615079069218489	0.769841861563022	0.384920930781511
89	0.567854772508566	0.864290454982868	0.432145227491434
90	0.666648761643847	0.666702476712306	0.333351238356153
91	0.662260285612704	0.675479428774592	0.337739714387296
92	0.676898697250685	0.646202605498631	0.323101302749316
93	0.645643195621137	0.708713608757725	0.354356804378863
94	0.607694232824811	0.784611534350378	0.392305767175189
95	0.560515883845473	0.878968232309054	0.439484116154527
96	0.523731935321545	0.95253612935691	0.476268064678455
97	0.558493516205768	0.883012967588464	0.441506483794232
98	0.549028447881463	0.901943104237074	0.450971552118537
99	0.505612585932428	0.988774828135145	0.494387414067572
100	0.536059403020529	0.927881193958942	0.463940596979471
101	0.510813429196554	0.978373141606893	0.489186570803446
102	0.466970847575304	0.933941695150607	0.533029152424696
103	0.427336497782663	0.854672995565325	0.572663502217337
104	0.409803903365727	0.819607806731454	0.590196096634273
105	0.358822985174539	0.717645970349078	0.641177014825461
106	0.428858136318864	0.857716272637728	0.571141863681136
107	0.378565726770093	0.757131453540185	0.621434273229907
108	0.427663259810698	0.855326519621396	0.572336740189302
109	0.467694442741302	0.935388885482603	0.532305557258699
110	0.438131590687066	0.876263181374132	0.561868409312934
111	0.381494382697986	0.762988765395972	0.618505617302014
112	0.472280248130363	0.944560496260727	0.527719751869637
113	0.460562072850705	0.92112414570141	0.539437927149295
114	0.405142613933142	0.810285227866284	0.594857386066858
115	0.419596137452642	0.839192274905284	0.580403862547358
116	0.407062606186346	0.814125212372692	0.592937393813654
117	0.362744982667673	0.725489965335347	0.637255017332327
118	0.322415790929765	0.64483158185953	0.677584209070235
119	0.280075610562519	0.560151221125038	0.719924389437481
120	0.332847692496639	0.665695384993278	0.667152307503361
121	0.298748659162372	0.597497318324745	0.701251340837628
122	0.302743048846966	0.605486097693931	0.697256951153034
123	0.262669436012777	0.525338872025554	0.737330563987223
124	0.283237851123804	0.566475702247609	0.716762148876195
125	0.246486626005854	0.492973252011707	0.753513373994146
126	0.218702899792877	0.437405799585753	0.781297100207123
127	0.274153089980625	0.54830617996125	0.725846910019375
128	0.212022980223373	0.424045960446746	0.787977019776627
129	0.706221131091432	0.587557737817136	0.293778868908568
130	0.765217866344997	0.469564267310007	0.234782133655003
131	0.938225787116426	0.123548425767148	0.0617742128835742
132	0.930406273967386	0.139187452065228	0.0695937260326142
133	0.883294593030893	0.233410813938215	0.116705406969107
134	0.917292417997833	0.165415164004333	0.0827075820021667
135	0.972299145623496	0.0554017087530076	0.0277008543765038
136	0.97320148264149	0.0535970347170197	0.0267985173585098
137	0.985067687221811	0.0298646255563772	0.0149323127781886
138	0.949573572588046	0.100852854823907	0.0504264274119537

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	4	0.0305343511450382	OK
10% type I error level	13	0.099236641221374	OK