Multiple Linear Regression - Estimated Regression Equation

perceived_competence[t] = + 5.37901815846649 + 0.513697841080668gender[t] -0.164893800687354age[t] -0.0365316083922087connected[t] + 0.0204437754472755separate[t] + 0.518749972935189learning[t] -0.0657380752961471happiness[t] -0.0361979552699681depression[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)	5.37901815846649	2.387764	2.2527	0.025688	0.012844
gender	0.513697841080668	0.312037	1.6463	0.101747	0.050874
age	-0.164893800687354	0.124289	-1.3267	0.186572	0.093286
connected	-0.0365316083922087	0.046655	-0.783	0.434822	0.217411
separate	0.0204437754472755	0.044397	0.4605	0.645824	0.322912
learning	0.518749972935189	0.066519	7.7985	0	0
happiness	-0.0657380752961471	0.075056	-0.8759	0.382474	0.191237
depression	-0.0361979552699681	0.055281	-0.6548	0.513571	0.256786

Multiple Linear Regression - Regression Statistics
Multiple R	0.568515474819561
R-squared	0.323209845109311
Adjusted R-squared	0.292446656250643
F-TEST (value)	10.5063830214157
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	9.26815291180105e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.80153168847774
Sum Squared Residuals	499.809529386774

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	9.92026588950405	2.07973411049595
2	11	11.5299496278705	-0.529949627870465
3	15	13.8278880098109	1.17211199018914
4	6	11.1684289529465	-5.16842895294647
5	13	10.0521417970281	2.94785820297194
6	10	9.85740306033458	0.142596939665416
7	12	12.9305305644437	-0.930530564443697
8	14	11.3736912991827	2.62630870081734
9	12	10.896788014677	1.10321198532305
10	6	11.4966376404392	-5.4966376404392
11	10	10.9693818496135	-0.969381849613493
12	12	11.7232877944554	0.2767122055446
13	12	11.4952275028131	0.504772497186862
14	11	11.5106007646492	-0.510600764649155
15	15	12.0765184822905	2.92348151770946
16	12	10.7631314827347	1.23686851726532
17	10	10.4316674730312	-0.431667473031212
18	12	13.6649880552959	-1.66498805529588
19	11	11.9808832397363	-0.980883239736326
20	12	11.5149635252936	0.485036474706423
21	11	11.4372086420624	-0.437208642062407
22	12	12.153331380824	-0.153331380823985
23	13	13.1058289438996	-0.105828943899599
24	11	11.7021662573781	-0.702166257378083
25	9	11.6007398350211	-2.60073983502113
26	13	12.8045687729139	0.195431227086148
27	10	10.4941850854638	-0.494185085463777
28	14	11.2858748619423	2.71412513805773
29	12	11.8582034137495	0.14179658625047
30	10	10.5696242748608	-0.569624274860832
31	12	11.4255494814161	0.574450518583925
32	8	9.56352975115641	-1.56352975115641
33	10	10.482111353216	-0.482111353215991
34	12	12.0120407729563	-0.012040772956328
35	12	10.3110787226306	1.68892127736944
36	7	6.86373708096803	0.136262919031971
37	6	8.51448533788908	-2.51448533788909
38	12	10.2698067121618	1.73019328783821
39	10	11.9767579669114	-1.97675796691139
40	10	11.5477103275566	-1.54771032755661
41	10	11.3589251400026	-1.35892514000259
42	12	10.3886461828161	1.61135381718391
43	15	13.367853303325	1.63214669667504
44	10	10.2662628352152	-0.266262835215155
45	10	10.5118470390054	-0.51184703900537
46	12	9.12857732147915	2.87142267852085
47	13	10.9416978549516	2.0583021450484
48	11	11.4684910820715	-0.468491082071521
49	11	11.8480471606344	-0.848047160634373
50	12	10.3439738257924	1.65602617420764
51	14	12.2409014458492	1.7590985541508
52	10	10.347943984145	-0.347943984145014
53	12	9.42419776942503	2.57580223057497
54	13	11.7913173071074	1.20868269289257
55	5	8.03515168676582	-3.03515168676582
56	6	10.726529169403	-4.72652916940298
57	12	11.46502361813	0.534976381869979
58	12	12.3706571998028	-0.370657199802835
59	11	10.9180727387876	0.0819272612123745
60	10	11.8017064423435	-1.80170644234351
61	7	9.51986042432157	-2.51986042432157
62	12	11.0563757659126	0.943624234087382
63	14	12.033013767289	1.96698623271096
64	11	10.5057109087922	0.494289091207794
65	12	11.487194608358	0.512805391641968
66	13	12.3092516728994	0.690748327100623
67	14	12.8164607200252	1.18353927997484
68	11	12.4736540267732	-1.47365402677324
69	12	9.74331825505642	2.25668174494358
70	12	11.3532174576735	0.646782542326453
71	8	8.21261505000463	-0.212615050004626
72	11	10.8940495313338	0.105950468666169
73	14	13.1829261598687	0.817073840131325
74	14	12.3427957005489	1.65720429945108
75	12	11.2604875273078	0.739512472692154
76	9	11.9477630588409	-2.94776305884089
77	13	11.5336800859601	1.46631991403988
78	11	11.4738789378705	-0.473878937870453
79	12	9.96622410019976	2.03377589980024
80	12	11.0583948119838	0.941605188016197
81	12	11.3495369641332	0.65046303586676
82	12	13.4546516538609	-1.45465165386089
83	12	12.0479050751041	-0.0479050751040555
84	12	10.851180802096	1.14881919790402
85	11	10.9741433331317	0.0258566668682996
86	10	11.424570491359	-1.42457049135903
87	9	10.2832081927911	-1.28320819279106
88	12	12.0167811750329	-0.0167811750328891
89	12	11.9142704665061	0.085729533493938
90	12	11.7406682017111	0.259331798288873
91	9	9.82231986981269	-0.82231986981269
92	15	12.3421929813831	2.65780701861686
93	12	11.9848883558133	0.0151116441867151
94	12	11.3033062919964	0.696693708003649
95	12	10.4981227731558	1.50187722684422
96	10	11.5783070795645	-1.57830707956451
97	13	11.8777828464238	1.12221715357625
98	9	11.7536907864893	-2.75369078648926
99	12	11.1959406297649	0.804059370235086
100	10	10.2198727812377	-0.219872781237685
101	14	11.7501923686179	2.24980763138211
102	11	11.1991912046557	-0.199191204655731
103	15	13.7471476166592	1.2528523833408
104	11	10.9667206971966	0.0332793028033562
105	11	12.0733639565806	-1.0733639565806
106	12	9.7255292950976	2.2744707049024
107	12	12.278038686132	-0.278038686131985
108	12	10.7727318463002	1.2272681536998
109	11	11.4033969189102	-0.403396918910202
110	7	8.9090170381438	-1.90901703814381
111	12	11.8233482136861	0.176651786313922
112	14	11.9931271757612	2.00687282423879
113	11	12.8171052150573	-1.81710521505733
114	11	9.68943358159433	1.31056641840567
115	10	9.53270254853871	0.467297451461291
116	13	11.7998076532448	1.2001923467552
117	13	10.6997603699315	2.30023963006848
118	8	11.029214318184	-3.02921431818399
119	11	10.2597812961098	0.740218703890206
120	12	11.6015230174691	0.398476982530861
121	11	10.3798510666642	0.620148933335816
122	13	11.214766850397	1.78523314960297
123	12	10.0207643701018	1.97923562989823
124	14	11.8665897883495	2.13341021165047
125	13	11.4071597557297	1.59284024427031
126	15	12.1713366469361	2.82866335306385
127	10	10.5069399542733	-0.506939954273307
128	11	11.9461902168543	-0.946190216854302
129	9	10.9166387304068	-1.91663873040678
130	11	9.74633826049432	1.25366173950568
131	10	11.6211071974633	-1.62110719746327
132	11	8.57146072172857	2.42853927827143
133	8	11.6641552771857	-3.66415527718569
134	11	9.55605985035692	1.44394014964308
135	12	10.335493981006	1.66450601899404
136	12	10.8986842707466	1.10131572925341
137	9	9.68320286965918	-0.683202869659183
138	11	10.5660620161575	0.433937983842544
139	10	9.27570471441471	0.724295285585294
140	8	9.67428414579418	-1.67428414579418
141	9	7.51232861799855	1.48767138200145
142	8	11.5652892166068	-3.56528921660683
143	9	10.8900561250614	-1.89005612506143
144	15	12.665569748592	2.33443025140802
145	11	11.2855269455205	-0.285526945520462
146	8	8.32705675632479	-0.327056756324787
147	13	12.9811239512596	0.0188760487403922
148	12	10.0391424114831	1.96085758851695
149	12	11.6459577218649	0.354042278135134
150	9	9.57839973568394	-0.578399735683936
151	7	8.52747222141744	-1.52747222141744
152	13	10.7855387504812	2.21446124951875
153	9	10.70097553913	-1.70097553912996
154	6	12.0125191853898	-6.01251918538979
155	8	10.486841299907	-2.48684129990699
156	8	8.85639415544362	-0.856394155443619
157	15	12.3421929813831	2.65780701861686
158	6	10.3211044797341	-4.32110447973407
159	9	10.9166387304068	-1.91663873040678
160	11	11.7839063554775	-0.783906355477474
161	8	9.74815128541675	-1.74815128541675
162	8	10.2209396522586	-2.22093965225858

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.506076086372175	0.98784782725565	0.493923913627825
12	0.33889711302637	0.677794226052741	0.66110288697363
13	0.792428728829892	0.415142542340215	0.207571271170108
14	0.738269215188387	0.523461569623227	0.261730784811613
15	0.654318031803505	0.691363936392989	0.345681968196495
16	0.751348040347761	0.497303919304477	0.248651959652239
17	0.757206755785299	0.485586488429401	0.242793244214701
18	0.814923468194339	0.370153063611322	0.185076531805661
19	0.841878325498228	0.316243349003543	0.158121674501772
20	0.864506416026924	0.270987167946153	0.135493583973076
21	0.866820651807407	0.266358696385185	0.133179348192593
22	0.82879286648992	0.34241426702016	0.17120713351008
23	0.788993036665538	0.422013926668924	0.211006963334462
24	0.778203472208508	0.443593055582983	0.221796527791491
25	0.741566824750678	0.516866350498643	0.258433175249322
26	0.708017335274527	0.583965329450945	0.291982664725473
27	0.740891297310836	0.518217405378327	0.259108702689164
28	0.764246568849893	0.471506862300215	0.235753431150108
29	0.709896772767683	0.580206454464635	0.290103227232317
30	0.657189284919331	0.685621430161338	0.342810715080669
31	0.598406447688845	0.80318710462231	0.401593552311155
32	0.564112874175067	0.871774251649866	0.435887125824933
33	0.526796035758539	0.946407928482922	0.473203964241461
34	0.464882976430841	0.929765952861682	0.535117023569159
35	0.541302900731457	0.917394198537086	0.458697099268543
36	0.481463986649218	0.962927973298436	0.518536013350782
37	0.529402898929854	0.941194202140291	0.470597101070146
38	0.615597994234909	0.768804011530182	0.384402005765091
39	0.635049522284142	0.729900955431715	0.364950477715858
40	0.596118679275759	0.807762641448483	0.403881320724241
41	0.554183615522364	0.891632768955271	0.445816384477636
42	0.516414737519552	0.967170524960896	0.483585262480448
43	0.599224512204607	0.801550975590787	0.400775487795393
44	0.547025733637464	0.905948532725073	0.452974266362536
45	0.528539288956365	0.94292142208727	0.471460711043635
46	0.553676834584201	0.892646330831599	0.446323165415799
47	0.556523230850991	0.886953538298018	0.443476769149009
48	0.509199816928224	0.981600366143552	0.490800183071776
49	0.46241906914533	0.92483813829066	0.53758093085467
50	0.483581043279333	0.967162086558666	0.516418956720667
51	0.488915848723969	0.977831697447939	0.511084151276031
52	0.443727868644368	0.887455737288736	0.556272131355632
53	0.519434189426518	0.961131621146963	0.480565810573482
54	0.481059095811892	0.962118191623785	0.518940904188108
55	0.582756106525967	0.834487786948066	0.417243893474033
56	0.829169985808346	0.341660028383308	0.170830014191654
57	0.798064366762111	0.403871266475778	0.201935633237889
58	0.763957476050674	0.472085047898653	0.236042523949326
59	0.725008750277064	0.549982499445872	0.274991249722936
60	0.731647027377687	0.536705945244626	0.268352972622313
61	0.755507201717666	0.488985596564668	0.244492798282334
62	0.725818995348639	0.548362009302722	0.274181004651361
63	0.723673700877769	0.552652598244462	0.276326299122231
64	0.695944578362807	0.608110843274387	0.304055421637193
65	0.65651594879487	0.68696810241026	0.34348405120513
66	0.619897584275343	0.760204831449315	0.380102415724657
67	0.593930901375957	0.812138197248085	0.406069098624043
68	0.575509444981214	0.848981110037572	0.424490555018786
69	0.587001001397005	0.82599799720599	0.412998998602995
70	0.54863101694319	0.90273796611362	0.45136898305681
71	0.504479094554498	0.991041810891003	0.495520905445502
72	0.459526657535697	0.919053315071395	0.540473342464303
73	0.422022939555884	0.844045879111768	0.577977060444116
74	0.406158802273553	0.812317604547106	0.593841197726447
75	0.386529287401377	0.773058574802755	0.613470712598623
76	0.454912548969865	0.90982509793973	0.545087451030135
77	0.440719148048678	0.881438296097356	0.559280851951322
78	0.397225409683542	0.794450819367085	0.602774590316458
79	0.422163738374899	0.844327476749797	0.577836261625101
80	0.394015998928365	0.78803199785673	0.605984001071635
81	0.354492779956937	0.708985559913874	0.645507220043063
82	0.34151254518017	0.68302509036034	0.65848745481983
83	0.301453393858222	0.602906787716443	0.698546606141778
84	0.289821416699854	0.579642833399707	0.710178583300146
85	0.261841445796243	0.523682891592487	0.738158554203757
86	0.251559443189328	0.503118886378656	0.748440556810672
87	0.240657627658807	0.481315255317615	0.759342372341193
88	0.205553070306022	0.411106140612045	0.794446929693978
89	0.173974598672242	0.347949197344485	0.826025401327758
90	0.151512083169525	0.30302416633905	0.848487916830475
91	0.131918574227361	0.263837148454722	0.868081425772639
92	0.166700013005656	0.333400026011311	0.833299986994344
93	0.142049228248829	0.284098456497659	0.857950771751171
94	0.123355724231685	0.24671144846337	0.876644275768315
95	0.11493364443994	0.229867288879881	0.88506635556006
96	0.111806978302253	0.223613956604506	0.888193021697747
97	0.0976790379536129	0.195358075907226	0.902320962046387
98	0.131542152571276	0.263084305142552	0.868457847428724
99	0.112375893242026	0.224751786484051	0.887624106757974
100	0.0926415028438553	0.185283005687711	0.907358497156145
101	0.102818297060099	0.205636594120199	0.897181702939901
102	0.0837261585756211	0.167452317151242	0.916273841424379
103	0.0780924296344403	0.156184859268881	0.92190757036556
104	0.0650397500159244	0.130079500031849	0.934960249984076
105	0.0539230807177574	0.107846161435515	0.946076919282243
106	0.0561018246581057	0.112203649316211	0.943898175341894
107	0.0436848731664989	0.0873697463329977	0.956315126833501
108	0.0398876273136244	0.0797752546272487	0.960112372686376
109	0.0312125909125258	0.0624251818250516	0.968787409087474
110	0.0330880848379189	0.0661761696758377	0.966911915162081
111	0.0255769418296922	0.0511538836593843	0.974423058170308
112	0.0272156089002614	0.0544312178005227	0.972784391099739
113	0.0255803367191479	0.0511606734382958	0.974419663280852
114	0.0218873284898838	0.0437746569797676	0.978112671510116
115	0.0165424582209683	0.0330849164419365	0.983457541779032
116	0.0140886391408561	0.0281772782817121	0.985911360859144
117	0.0235614358648491	0.0471228717296981	0.976438564135151
118	0.0326037764993666	0.0652075529987332	0.967396223500633
119	0.0259631012420416	0.0519262024840831	0.974036898757958
120	0.0200418933996776	0.0400837867993552	0.979958106600322
121	0.0157674646764688	0.0315349293529377	0.984232535323531
122	0.0218689204220064	0.0437378408440129	0.978131079577994
123	0.030600336071543	0.0612006721430861	0.969399663928457
124	0.0417420837807596	0.0834841675615192	0.95825791621924
125	0.0403847551234586	0.0807695102469171	0.959615244876541
126	0.0800192629046624	0.160038525809325	0.919980737095338
127	0.0634279648515066	0.126855929703013	0.936572035148493
128	0.0491440035986218	0.0982880071972437	0.950855996401378
129	0.0416288346683986	0.0832576693367972	0.958371165331601
130	0.0376333323297217	0.0752666646594434	0.962366667670278
131	0.0360168940392385	0.072033788078477	0.963983105960762
132	0.0391372964354054	0.0782745928708109	0.960862703564595
133	0.0789049262014119	0.157809852402824	0.921095073798588
134	0.070108925158944	0.140217850317888	0.929891074841056
135	0.0570867658902056	0.114173531780411	0.942913234109794
136	0.0702163132793657	0.140432626558731	0.929783686720634
137	0.0543965302338911	0.108793060467782	0.945603469766109
138	0.040478816104562	0.0809576322091241	0.959521183895438
139	0.0868671810535868	0.173734362107174	0.913132818946413
140	0.0657629070784613	0.131525814156923	0.934237092921539
141	0.121160270357483	0.242320540714967	0.878839729642517
142	0.108741563934723	0.217483127869446	0.891258436065277
143	0.0996166270715837	0.199233254143167	0.900383372928416
144	0.401414317664915	0.802828635329829	0.598585682335085
145	0.47099720146416	0.94199440292832	0.52900279853584
146	0.553756282296325	0.89248743540735	0.446243717703675
147	0.602948950850782	0.794102098298437	0.397051049149218
148	0.776571919593269	0.446856160813463	0.223428080406731
149	0.692787422813352	0.614425154373295	0.307212577186648
150	0.636865067317166	0.726269865365668	0.363134932682834
151	0.546231436033086	0.907537127933828	0.453768563966914

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	7	0.049645390070922	OK
10% type I error level	25	0.177304964539007	NOK