Multiple Linear Regression - Estimated Regression Equation

Separate[t] = -3301.73676468439 + 1.66067576515263jaar[t] -0.113057139298834volgnummer[t] + 0.384662783796655Connected[t] -0.0421525455342109Learning[t] + 0.127161673977428Software[t] + 0.219485002916961Happiness[t] -0.00315753915683208Depression[t] -0.125819805572958Belonging[t] + 0.145574738790249Belonging_Final[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)	-3301.73676468439	1823.235634	-1.8109	0.072128	0.036064
jaar	1.66067576515263	0.91174	1.8214	0.070507	0.035253
volgnummer	-0.113057139298834	0.066391	-1.7029	0.090632	0.045316
Connected	0.384662783796655	0.079748	4.8235	3e-06	2e-06
Learning	-0.0421525455342109	0.144206	-0.2923	0.77045	0.385225
Software	0.127161673977428	0.14531	0.8751	0.382898	0.191449
Happiness	0.219485002916961	0.135396	1.6211	0.107077	0.053538
Depression	-0.00315753915683208	0.101268	-0.0312	0.975167	0.487583
Belonging	-0.125819805572958	0.079683	-1.579	0.116414	0.058207
Belonging_Final	0.145574738790249	0.114593	1.2704	0.205897	0.102949

Multiple Linear Regression - Regression Statistics
Multiple R	0.433970305556809
R-squared	0.18833022610507
Adjusted R-squared	0.140270831598133
F-TEST (value)	3.91869743756109
F-TEST (DF numerator)	9
F-TEST (DF denominator)	152
p-value	0.000167766893241938
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.29373141780235
Sum Squared Residuals	1648.99733119798

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	38	37.2756811298895	0.724318870110459
2	32	35.6346431163571	-3.63464311635715
3	35	32.1021658066532	2.89783419334679
4	33	31.3523321043584	1.64766789564156
5	37	33.7705651828768	3.22943481712324
6	29	34.0641613368662	-5.06416133686625
7	31	36.2713957556889	-5.27139575568892
8	36	33.0424532732368	2.95754672676321
9	35	33.8818133194612	1.11818668053884
10	38	33.3783336235243	4.62166637647571
11	31	34.4785661025637	-3.47856610256365
12	34	35.1120911464539	-1.11209114645392
13	35	33.4454069510617	1.55459304893829
14	38	36.8960790667295	1.10392093327045
15	37	34.1525807293849	2.8474192706151
16	33	33.6411145093119	-0.641114509311929
17	32	33.9836211116168	-1.98362111161681
18	38	35.0258929630803	2.97410703691975
19	38	35.7265482845528	2.27345171544723
20	32	33.7146807571461	-1.7146807571461
21	33	33.5278726284394	-0.527872628439371
22	31	31.7839011900296	-0.783901190029589
23	38	35.573775596872	2.42622440312799
24	39	34.4489014384951	4.55109856150486
25	32	34.3246185200208	-2.32461852002084
26	32	33.7670138386895	-1.76701383868951
27	35	34.5030462783979	0.496953721602142
28	37	34.3615132444927	2.63848675550731
29	33	33.1878192424122	-0.187819242412207
30	33	33.6530672800249	-0.65306728002487
31	28	32.8004639844716	-4.80046398447164
32	32	31.0312855312402	0.968714468759837
33	31	35.1454128874085	-4.14541288740852
34	37	33.5719227628597	3.42807723714032
35	30	32.8286718236452	-2.82867182364524
36	33	32.7289151615229	0.271084838477113
37	31	29.6215001430052	1.37849985699476
38	33	34.004502670925	-1.00450267092496
39	31	31.1130878786798	-0.113087878679812
40	33	34.3891828794954	-1.3891828794954
41	32	35.2952040412866	-3.29520404128659
42	33	34.2990897523907	-1.29908975239066
43	32	36.9130925222858	-4.91309252228584
44	33	34.3267588218718	-1.32675882187175
45	28	34.8395480833858	-6.83954808338583
46	35	34.3314793916097	0.668520608390335
47	39	36.3085428748671	2.69145712513293
48	34	33.1479070054234	0.852092994576597
49	38	34.1165463715989	3.88345362840112
50	32	34.4298761206965	-2.42987612069648
51	38	33.0723577613405	4.92764223865951
52	30	32.1301589274429	-2.13015892744291
53	33	33.4118758328629	-0.411875832862861
54	38	35.6948033672274	2.30519663277259
55	32	32.5181005112504	-0.518100511250368
56	32	34.8657183610795	-2.86571836107952
57	34	36.3774693394957	-2.37746933949568
58	34	32.6549439385806	1.34505606141937
59	36	34.2632232986566	1.7367767013434
60	34	33.5731980931875	0.426801906812466
61	28	30.9678390557055	-2.96783905570553
62	34	34.3947639728919	-0.394763972891936
63	35	32.5584090405274	2.44159095947258
64	35	32.7537723456724	2.24622765432756
65	31	34.099712549181	-3.09971254918096
66	37	32.4230982615979	4.57690173840208
67	35	35.3833826741572	-0.383382674157233
68	27	31.7898231310464	-4.78982313104635
69	40	36.995579302053	3.00442069794701
70	37	34.9994834279971	2.00051657200289
71	36	36.1111448423501	-0.111144842350079
72	38	33.9853133295461	4.01468667045392
73	39	33.8124357882132	5.18756421178678
74	41	35.592742158125	5.40725784187499
75	27	32.8973383860705	-5.89733838607048
76	30	34.3969167656184	-4.39691676561839
77	37	35.5664531726841	1.43354682731594
78	31	33.4259087101084	-2.42590871010844
79	31	31.1402601128581	-0.14026011285807
80	27	34.7921797270345	-7.79217972703445
81	36	33.9807786101712	2.01922138982883
82	38	34.9291374547194	3.07086254528059
83	37	35.3912886832739	1.6087113167261
84	33	35.7569329538226	-2.75693295382263
85	34	33.6453097630093	0.354690236990656
86	31	33.3325838344277	-2.33258383442769
87	39	35.2799591676855	3.7200408323145
88	34	33.6426351935741	0.357364806425869
89	32	32.3390937331834	-0.339093733183352
90	33	31.9104579817409	1.08954201825908
91	36	33.0555805707521	2.9444194292479
92	32	35.0318942782615	-3.03189427826151
93	41	33.6387430390107	7.36125696098927
94	28	31.8501004623412	-3.85010046234123
95	30	32.2304033930964	-2.23040339309635
96	36	36.2384905768006	-0.238490576800626
97	35	35.6455840905303	-0.645584090530304
98	31	34.0136583555607	-3.01365835556066
99	34	35.6235568753999	-1.62355687539992
100	36	33.3193046438386	2.68069535616142
101	36	36.2319610792046	-0.231961079204643
102	35	34.6138453013699	0.386154698630053
103	37	34.8559175649987	2.14408243500126
104	28	32.7468867648304	-4.74688676483037
105	39	32.9307084011805	6.06929159881954
106	32	34.9480968526271	-2.94809685262705
107	35	35.3256492854293	-0.325649285429279
108	39	36.2202604170573	2.77973958294271
109	35	35.3063252813602	-0.306325281360215
110	42	38.0872874906665	3.91271250933347
111	34	32.8062197923028	1.19378020769716
112	33	32.7297359845633	0.270264015436738
113	41	32.8691490727272	8.13085092727284
114	33	33.0172587337318	-0.017258733731762
115	34	36.0894569987879	-2.08945699878788
116	32	35.2875650577077	-3.28756505770772
117	40	34.4676058054275	5.53239419457246
118	40	33.6947658567205	6.30523414327954
119	35	33.4679839857113	1.53201601428875
120	36	34.5102552550706	1.48974474492939
121	37	33.3610789008208	3.6389210991792
122	27	32.1731253319398	-5.1731253319398
123	39	36.1705774652564	2.82942253474363
124	38	36.4268301719003	1.57316982809968
125	31	34.7669500906395	-3.76695009063953
126	33	33.1939988244769	-0.193998824476859
127	32	36.2325808093561	-4.23258080935613
128	39	38.4911738561105	0.5088261438895
129	36	34.8420543149407	1.15794568505935
130	33	34.8170542388555	-1.81705423885549
131	33	32.6562522925246	0.343747707475373
132	32	30.8162126514268	1.18378734857317
133	37	35.5226246030593	1.47737539694066
134	30	31.579648016823	-1.57964801682297
135	38	35.1066180984551	2.89338190154495
136	29	33.2537291461901	-4.25372914619011
137	22	32.451133619235	-10.451133619235
138	35	35.6807386997205	-0.680738699720499
139	35	33.5190639249548	1.4809360750452
140	34	35.3962481568238	-1.39624815682384
141	35	33.1146599043874	1.88534009561264
142	34	34.089867768054	-0.0898677680540343
143	34	32.4294052579989	1.5705947420011
144	35	32.6018680104105	2.39813198958946
145	23	32.7398195860747	-9.7398195860747
146	31	35.9831352765293	-4.98313527652928
147	27	33.5592658954403	-6.55926589544029
148	36	34.6708226313351	1.32917736866485
149	31	32.3957576282053	-1.39575762820531
150	32	32.7495857441072	-0.749585744107168
151	39	36.3910103091715	2.6089896908285
152	37	37.576039317414	-0.576039317414015
153	38	34.6517060001457	3.34829399985427
154	39	33.9653184043707	5.03468159562928
155	34	33.7422165991751	0.257783400824921
156	31	33.9417612854098	-2.94176128540982
157	32	35.9865590496005	-3.98655904960048
158	37	33.1500987378369	3.84990126216307
159	36	34.7716916662809	1.22830833371909
160	32	33.2762642797119	-1.2762642797119
161	35	31.7875291389056	3.21247086109438
162	36	33.9324432313299	2.06755676867011

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.845378768284708	0.309242463430584	0.154621231715292
14	0.735370614065262	0.529258771869475	0.264629385934738
15	0.640408729390588	0.719182541218824	0.359591270609412
16	0.693609643008941	0.612780713982117	0.306390356991059
17	0.74086066234607	0.518278675307861	0.25913933765393
18	0.702714072950614	0.594571854098773	0.297285927049386
19	0.643779187832096	0.712441624335809	0.356220812167904
20	0.573588894647144	0.852822210705713	0.426411105352856
21	0.480979387446512	0.961958774893025	0.519020612553488
22	0.427321595106996	0.854643190213993	0.572678404893004
23	0.349402211102125	0.698804422204251	0.650597788897875
24	0.40994571795916	0.819891435918321	0.59005428204084
25	0.398765806787051	0.797531613574103	0.601234193212949
26	0.503818206257251	0.992363587485499	0.496181793742749
27	0.428692749080989	0.857385498161978	0.571307250919011
28	0.37118181896667	0.74236363793334	0.62881818103333
29	0.310293380021293	0.620586760042585	0.689706619978707
30	0.273186711350909	0.546373422701818	0.726813288649091
31	0.341308701220696	0.682617402441391	0.658691298779304
32	0.286120835387222	0.572241670774445	0.713879164612778
33	0.265559472694298	0.531118945388596	0.734440527305702
34	0.296241910083984	0.592483820167969	0.703758089916016
35	0.263843892104662	0.527687784209324	0.736156107895338
36	0.23418045291897	0.468360905837941	0.76581954708103
37	0.195530841612253	0.391061683224507	0.804469158387747
38	0.155948516195527	0.311897032391055	0.844051483804473
39	0.122705779670646	0.245411559341291	0.877294220329354
40	0.100106233634123	0.200212467268245	0.899893766365877
41	0.0891727519314174	0.178345503862835	0.910827248068583
42	0.0684179681887992	0.136835936377598	0.931582031811201
43	0.0715761201590345	0.143152240318069	0.928423879840965
44	0.0541947837952803	0.108389567590561	0.94580521620472
45	0.0981582010326307	0.196316402065261	0.901841798967369
46	0.0851852059003017	0.170370411800603	0.914814794099698
47	0.0961580940697677	0.192316188139535	0.903841905930232
48	0.0801250825591576	0.160250165118315	0.919874917440842
49	0.125531964068992	0.251063928137984	0.874468035931008
50	0.109355242282141	0.218710484564282	0.890644757717859
51	0.137816266379226	0.275632532758452	0.862183733620774
52	0.124476053872486	0.248952107744973	0.875523946127514
53	0.0992270239743432	0.198454047948686	0.900772976025657
54	0.0832803168820702	0.16656063376414	0.91671968311793
55	0.0695720821715987	0.139144164343197	0.930427917828401
56	0.0606557164017116	0.121311432803423	0.939344283598288
57	0.0502066172608798	0.10041323452176	0.94979338273912
58	0.0393654124850068	0.0787308249700136	0.960634587514993
59	0.035608793114006	0.0712175862280121	0.964391206885994
60	0.0268254667033612	0.0536509334067224	0.973174533296639
61	0.0275412813706523	0.0550825627413046	0.972458718629348
62	0.0207785745704616	0.0415571491409232	0.979221425429538
63	0.0169881796707673	0.0339763593415346	0.983011820329233
64	0.0143619259728684	0.0287238519457367	0.985638074027132
65	0.0140209478658315	0.0280418957316631	0.985979052134168
66	0.0156826391641641	0.0313652783283282	0.984317360835836
67	0.0114956720971466	0.0229913441942931	0.988504327902853
68	0.0157505208674263	0.0315010417348526	0.984249479132574
69	0.0185404440856133	0.0370808881712267	0.981459555914387
70	0.0161132278939352	0.0322264557878704	0.983886772106065
71	0.0119920775757573	0.0239841551515145	0.988007922424243
72	0.0143870487547688	0.0287740975095375	0.985612951245231
73	0.020881424122722	0.041762848245444	0.979118575877278
74	0.0347951712351267	0.0695903424702534	0.965204828764873
75	0.0744544133660615	0.148908826732123	0.925545586633939
76	0.0931184810606669	0.186236962121334	0.906881518939333
77	0.0772272490877981	0.154454498175596	0.922772750912202
78	0.074483902359321	0.148967804718642	0.925516097640679
79	0.0616773765330361	0.123354753066072	0.938322623466964
80	0.176580857885042	0.353161715770085	0.823419142114957
81	0.159067083486112	0.318134166972224	0.840932916513888
82	0.165400330340486	0.330800660680972	0.834599669659514
83	0.143565703864037	0.287131407728073	0.856434296135963
84	0.136229437286358	0.272458874572716	0.863770562713642
85	0.112188491506517	0.224376983013034	0.887811508493483
86	0.106563368711268	0.213126737422536	0.893436631288732
87	0.116050703128053	0.232101406256107	0.883949296871947
88	0.0944971897019381	0.188994379403876	0.905502810298062
89	0.0771231370625898	0.15424627412518	0.92287686293741
90	0.0615408613912372	0.123081722782474	0.938459138608763
91	0.0559317663848639	0.111863532769728	0.944068233615136
92	0.0562288074475122	0.112457614895024	0.943771192552488
93	0.118925319648014	0.237850639296028	0.881074680351986
94	0.135220193672957	0.270440387345914	0.864779806327043
95	0.126902419350299	0.253804838700598	0.873097580649701
96	0.106818278699531	0.213636557399062	0.893181721300469
97	0.0872665249521486	0.174533049904297	0.912733475047851
98	0.10157865492079	0.203157309841579	0.89842134507921
99	0.0892725159618612	0.178545031923722	0.910727484038139
100	0.0778123095901995	0.155624619180399	0.922187690409801
101	0.0616997974894537	0.123399594978907	0.938300202510546
102	0.0495810516830362	0.0991621033660724	0.950418948316964
103	0.0427962165494679	0.0855924330989358	0.957203783450532
104	0.0848542731131272	0.169708546226254	0.915145726886873
105	0.132092418259342	0.264184836518684	0.867907581740658
106	0.148905077866138	0.297810155732276	0.851094922133862
107	0.125038037653336	0.250076075306673	0.874961962346664
108	0.118413826122885	0.23682765224577	0.881586173877115
109	0.114269722133605	0.228539444267209	0.885730277866395
110	0.110649704868088	0.221299409736176	0.889350295131912
111	0.0924931985367919	0.184986397073584	0.907506801463208
112	0.0729904863052296	0.145980972610459	0.92700951369477
113	0.154091271368555	0.30818254273711	0.845908728631445
114	0.127918791469384	0.255837582938767	0.872081208530616
115	0.110824099751875	0.22164819950375	0.889175900248125
116	0.107859341374085	0.21571868274817	0.892140658625915
117	0.180667450742925	0.361334901485851	0.819332549257075
118	0.240557468055995	0.481114936111991	0.759442531944005
119	0.200933371187719	0.401866742375438	0.799066628812281
120	0.189781213553779	0.379562427107557	0.810218786446221
121	0.230624909577293	0.461249819154586	0.769375090422707
122	0.238823635647006	0.477647271294011	0.761176364352995
123	0.228573145658851	0.457146291317702	0.771426854341149
124	0.200428360427782	0.400856720855564	0.799571639572218
125	0.188216631221487	0.376433262442975	0.811783368778513
126	0.158518103204277	0.317036206408555	0.841481896795723
127	0.193093766740839	0.386187533481679	0.806906233259161
128	0.163598116364877	0.327196232729754	0.836401883635123
129	0.146098198776037	0.292196397552073	0.853901801223963
130	0.115862212047085	0.231724424094171	0.884137787952915
131	0.08772467297418	0.17544934594836	0.91227532702582
132	0.0850584097594669	0.170116819518934	0.914941590240533
133	0.067655134861527	0.135310269723054	0.932344865138473
134	0.0610888027985296	0.122177605597059	0.93891119720147
135	0.1395421259453	0.2790842518906	0.8604578740547
136	0.132381109638352	0.264762219276703	0.867618890361648
137	0.358628228698916	0.717256457397833	0.641371771301084
138	0.288918057833734	0.577836115667468	0.711081942166266
139	0.226247356092546	0.452494712185091	0.773752643907454
140	0.17442469087931	0.34884938175862	0.82557530912069
141	0.128442795064749	0.256885590129498	0.871557204935251
142	0.0883740959017327	0.176748191803465	0.911625904098267
143	0.0909576968854351	0.18191539377087	0.909042303114565
144	0.434692403883411	0.869384807766822	0.565307596116589
145	0.622566887230719	0.754866225538562	0.377433112769281
146	0.967113279094897	0.0657734418102055	0.0328867209051028
147	0.965578094916049	0.0688438101679012	0.0344219050839506
148	0.972978753573442	0.0540424928531168	0.0270212464265584
149	0.992984964428663	0.0140300711426745	0.00701503557133725

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	13	0.0948905109489051	NOK
10% type I error level	23	0.167883211678832	NOK