Multiple Linear Regression - Estimated Regression Equation

belonging[t] = + 68.679142391371 -0.639613029996487age[t] + 0.229187055817126connected[t] -0.261027129920707separated[t] + 0.0734088904386086learning[t] -0.0405829510525371software[t] + 0.92488985048133hapiness[t] -0.537478633913233depression[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)	68.679142391371	13.836787	4.9635	2e-06	1e-06
age	-0.639613029996487	0.716796	-0.8923	0.373622	0.186811
connected	0.229187055817126	0.268358	0.854	0.394421	0.197211
separated	-0.261027129920707	0.249997	-1.0441	0.298075	0.149038
learning	0.0734088904386086	0.451251	0.1627	0.870986	0.435493
software	-0.0405829510525371	0.46097	-0.088	0.929962	0.464981
hapiness	0.92488985048133	0.421255	2.1956	0.02963	0.014815
depression	-0.537478633913233	0.312516	-1.7198	0.087483	0.043742

Multiple Linear Regression - Regression Statistics
Multiple R	0.33807999721712
R-squared	0.114298084518328
Adjusted R-squared	0.0737757746596895
F-TEST (value)	2.82062115701339
F-TEST (DF numerator)	7
F-TEST (DF denominator)	153
p-value	0.00860693625553599
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	10.3515704156854
Sum Squared Residuals	16394.7165408468

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	53	70.6455239957622	-17.6455239957622
2	86	77.530386381852	8.46961361814793
3	66	66.6558515017325	-0.655851501732471
4	67	69.4785509334172	-2.47855093341721
5	76	65.7079266400961	10.2920733599039
6	78	76.0399841641727	1.96001583582733
7	53	68.3592328570652	-15.3592328570652
8	80	70.8060124075656	9.19398759243442
9	74	73.635152175178	0.364847824821947
10	76	72.4253415662437	3.57465843375632
11	79	76.5757851604436	2.4242148395564
12	54	78.8175137557278	-24.8175137557278
13	67	66.9285016457167	0.0714983542832962
14	54	71.862394969629	-17.862394969629
15	87	74.0194580574945	12.9805419425055
16	58	69.5994496860588	-11.5994496860588
17	75	70.2187779113566	4.78122208864338
18	88	74.4235862767348	13.5764137232652
19	64	71.0301215252035	-7.03012152520349
20	57	71.6815310112976	-14.6815310112975
21	66	77.8149643968644	-11.8149643968644
22	68	67.8306692590742	0.169330740925788
23	54	70.587020275707	-16.587020275707
24	56	66.8038212961522	-10.8038212961522
25	86	76.7600713239144	9.23992867608558
26	80	71.3715651253108	8.62843487468917
27	76	71.052481924746	4.94751807525399
28	69	68.1658836861748	0.834116313825191
29	78	71.4665485127924	6.53345148720763
30	67	68.4680029218253	-1.46800292182527
31	80	75.8521841803705	4.14781581962946
32	54	67.8338912153901	-13.8338912153901
33	71	76.1997803237493	-5.19978032374926
34	84	72.2640629506664	11.7359370493336
35	74	71.9445879609263	2.05541203907369
36	71	74.9293578522512	-3.92935785225118
37	63	62.1006880066815	0.899311993318532
38	71	73.082249167193	-2.082249167193
39	76	75.152714688086	0.84728531191405
40	69	72.306223361222	-3.30622336122197
41	74	75.4128829376528	-1.41288293765283
42	75	71.1945815782206	3.80541842177936
43	54	77.1951592843563	-23.1951592843563
44	52	68.444988164214	-16.444988164214
45	69	71.4105078530121	-2.41050785301213
46	68	67.0528911960214	0.947108803978643
47	65	73.5463134499902	-8.54631344999017
48	75	72.7851313452253	2.21486865477471
49	74	72.8414710787387	1.15852892126133
50	75	72.4893493416985	2.51065065830147
51	72	73.5654773213974	-1.56547732139739
52	67	71.0299011174839	-4.02990111748389
53	63	65.0942519576426	-2.09425195764256
54	62	66.2961213565165	-4.29612135651646
55	63	70.1063733614892	-7.10637336148916
56	76	73.815961059246	2.18403894075394
57	74	73.4033991721725	0.5966008278275
58	67	73.6157793591658	-6.61577935916581
59	73	70.3030213611251	2.69697863887486
60	70	67.7933001812573	2.20669981874272
61	53	62.2943014316041	-9.29430143160407
62	77	70.2974081688281	6.70259183117187
63	77	67.8283002425677	9.17169975743233
64	52	67.5361563710212	-15.5361563710212
65	54	71.4760424023712	-17.4760424023712
66	80	67.9016266934629	12.0983733065371
67	66	65.746098965513	0.253901034487028
68	73	70.193225543181	2.80677445681902
69	63	71.258324010409	-8.25832401040898
70	69	70.8808141047438	-1.8808141047438
71	67	71.1638696471263	-4.16386964712628
72	54	69.984215138298	-15.984215138298
73	81	71.3723163317671	9.62768366823288
74	69	72.100220136941	-3.10022013694094
75	84	72.3849415189143	11.6150584810857
76	80	67.7182342300468	12.2817657699532
77	70	73.046250570205	-3.04625057020492
78	69	67.5169311168081	1.48306888319189
79	77	71.1599194561456	5.84008054385444
80	54	73.5078469241956	-19.5078469241957
81	79	71.6562899947735	7.34371000522653
82	30	74.446601034346	-44.446601034346
83	71	73.56820727431	-2.56820727430996
84	73	74.9493479939266	-1.94934799392655
85	72	70.0996265655055	1.90037343449453
86	77	69.7635183681813	7.2364816318187
87	75	71.5587307185474	3.44126928145261
88	69	71.3555888002168	-2.3555888002168
89	54	67.7839560545722	-13.7839560545722
90	70	60.3338047771937	9.66619522280626
91	73	72.440464637675	0.559535362324932
92	54	69.9795385125696	-15.9795385125696
93	77	70.3741842189742	6.6258157810258
94	82	71.0067197317456	10.9932802682544
95	80	70.773176812664	9.22682318733605
96	80	74.0374680822626	5.96253191773737
97	69	67.9710327058965	1.02896729410353
98	78	72.6166587586875	5.38334124131247
99	81	75.5844852088425	5.41551479115747
100	76	71.2593166641009	4.74068333589906
101	76	75.7479307366264	0.252069263373597
102	73	67.4125855780051	5.58741442199494
103	85	72.642121957469	12.3578780425309
104	66	69.7829346370106	-3.7829346370106
105	79	69.5056244464907	9.49437555350931
106	68	64.874926089663	3.12507391033701
107	76	74.7011641746962	1.29883582530377
108	71	69.3796988519857	1.6203011480143
109	54	65.8710974551385	-11.8710974551385
110	46	58.7607663836606	-12.7607663836606
111	82	69.8783471854238	12.1216528145762
112	74	66.050357433218	7.949642566782
113	88	69.0257924598778	18.9742075401222
114	38	68.9557362223209	-30.9557362223209
115	76	75.7594267657613	0.240573234238734
116	86	73.906523991951	12.0934760080489
117	54	67.2478419609434	-13.2478419609434
118	70	69.4966484659294	0.503351534070617
119	69	71.2481277917795	-2.24812779177953
120	90	69.7274208877248	20.2725791122752
121	54	66.2910350574925	-12.2910350574925
122	76	69.0504122591626	6.94958774083745
123	89	71.1593041827847	17.8406958172153
124	76	73.5822539578352	2.41774604216482
125	73	73.4870468328823	-0.48704683288234
126	79	70.6490817487775	8.35091825122245
127	90	77.5454934637279	12.4545065362721
128	74	75.8955163953668	-1.89551639536677
129	81	74.7645763294213	6.23542367057869
130	72	72.209348647638	-0.20934864763796
131	71	71.0811835598574	-0.0811835598573597
132	66	61.4075590656809	4.59244093431905
133	77	73.699382693696	3.30061730630398
134	65	70.7235893530331	-5.72358935303309
135	74	72.0063005734066	1.99369942659341
136	82	71.8537248767078	10.1462751232922
137	54	64.5565667375319	-10.5565667375319
138	63	68.9367394589077	-5.93673945890771
139	54	63.9173118056668	-9.91731180566685
140	64	72.5054146087048	-8.50541460870484
141	69	69.2457754378293	-0.245775437829252
142	54	71.3697415769282	-17.3697415769282
143	84	71.4911900286206	12.5088099713794
144	86	70.3586605401257	15.6413394598743
145	77	74.7339859192442	2.2660140807558
146	89	75.2125033471567	13.7874966528433
147	76	75.5492192146285	0.450780785371546
148	60	67.9887208511537	-7.98872085115372
149	75	70.5971820671124	4.40281793288763
150	73	62.571513603742	10.428486396258
151	85	72.1690165132961	12.8309834867039
152	79	67.6296899912772	11.3703100087228
153	71	70.9265666422286	0.0734333577713639
154	72	68.2629322376036	3.73706776239641
155	69	61.5238381553952	7.47616184460476
156	78	68.3504000275932	9.64959997240682
157	54	69.9795385125696	-15.9795385125696
158	69	68.652021091814	0.347978908186004
159	81	74.7645763294213	6.23542367057869
160	84	71.5557330581933	12.4442669418067
161	84	65.0198063224961	18.9801936775039

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.104093628227673	0.208187256455346	0.895906371772327
12	0.964252971338288	0.0714940573234239	0.0357470286617119
13	0.938072803569429	0.123854392861142	0.0619271964305709
14	0.919924501000417	0.160150997999165	0.0800754989995826
15	0.936333115051258	0.127333769897484	0.0636668849487419
16	0.952554020108561	0.094891959782877	0.0474459798914385
17	0.929855598744568	0.140288802510865	0.0701444012554324
18	0.9324112779573	0.135177444085401	0.0675887220427007
19	0.926905747293482	0.146188505413035	0.0730942527065176
20	0.952055462497482	0.0958890750050354	0.0479445375025177
21	0.950531963609223	0.0989360727815542	0.0494680363907771
22	0.92964408977823	0.140711820443539	0.0703559102217695
23	0.939059052393922	0.121881895212156	0.0609409476060779
24	0.926960165175544	0.146079669648912	0.0730398348244558
25	0.933649291477572	0.132701417044856	0.0663507085224279
26	0.937200309769134	0.125599380461732	0.062799690230866
27	0.924136037455784	0.151727925088432	0.0758639625442162
28	0.900447739587112	0.199104520825776	0.0995522604128881
29	0.883425488474295	0.233149023051409	0.116574511525705
30	0.848918976732887	0.302162046534227	0.151081023267113
31	0.81105697562468	0.377886048750641	0.188943024375321
32	0.818209765397772	0.363580469204456	0.181790234602228
33	0.78154794022139	0.436904119557221	0.218452059778611
34	0.800416695307978	0.399166609384043	0.199583304692022
35	0.7589402389943	0.4821195220114	0.2410597610057
36	0.711850582283079	0.576298835433842	0.288149417716921
37	0.672480484592455	0.65503903081509	0.327519515407545
38	0.619112014347116	0.761775971305769	0.380887985652884
39	0.563067795266546	0.873864409466907	0.436932204733454
40	0.509732220028643	0.980535559942715	0.490267779971357
41	0.453557936163297	0.907115872326594	0.546442063836703
42	0.410401426603878	0.820802853207757	0.589598573396122
43	0.61001837462067	0.779963250758659	0.38998162537933
44	0.660288915566511	0.679422168866978	0.339711084433489
45	0.612453878000292	0.775092243999416	0.387546121999708
46	0.564019900239603	0.871960199520795	0.435980099760397
47	0.534488335739227	0.931023328521547	0.465511664260773
48	0.487463915973974	0.974927831947948	0.512536084026026
49	0.439093550258848	0.878187100517697	0.560906449741151
50	0.397510483848522	0.795020967697045	0.602489516151478
51	0.348753175596673	0.697506351193347	0.651246824403327
52	0.307257505338109	0.614515010676218	0.692742494661891
53	0.26408824443187	0.528176488863739	0.73591175556813
54	0.22699883231169	0.453997664623381	0.77300116768831
55	0.202636540002287	0.405273080004574	0.797363459997713
56	0.174504912801869	0.349009825603737	0.825495087198131
57	0.145525745991887	0.291051491983773	0.854474254008113
58	0.127442431596079	0.254884863192158	0.872557568403921
59	0.108591558866684	0.217183117733368	0.891408441133316
60	0.0897389078479145	0.179477815695829	0.910261092152086
61	0.0834874899063966	0.166974979812793	0.916512510093603
62	0.0764673904077401	0.15293478081548	0.92353260959226
63	0.0761740710737654	0.152348142147531	0.923825928926235
64	0.0938400730314256	0.187680146062851	0.906159926968574
65	0.129164808672144	0.258329617344288	0.870835191327856
66	0.140707346555624	0.281414693111247	0.859292653444376
67	0.115588947242945	0.23117789448589	0.884411052757055
68	0.0973792773957013	0.194758554791403	0.902620722604299
69	0.0878418960358038	0.175683792071608	0.912158103964196
70	0.0706349602880478	0.141269920576096	0.929365039711952
71	0.0579431514495472	0.115886302899094	0.942056848550453
72	0.074255782591478	0.148511565182956	0.925744217408522
73	0.073546575761122	0.147093151522244	0.926453424238878
74	0.0593162538410766	0.118632507682153	0.940683746158923
75	0.0630903284820146	0.126180656964029	0.936909671517985
76	0.0709278577096147	0.141855715419229	0.929072142290385
77	0.0578059859736174	0.115611971947235	0.942194014026383
78	0.0458053720282099	0.0916107440564198	0.95419462797179
79	0.0396944455433224	0.0793888910866447	0.960305554456678
80	0.0762681551873185	0.152536310374637	0.923731844812681
81	0.0699969125575749	0.13999382511515	0.930003087442425
82	0.734416534643721	0.531166930712557	0.265583465356279
83	0.704218938021336	0.591562123957328	0.295781061978664
84	0.67125286202982	0.65749427594036	0.32874713797018
85	0.632723340147025	0.734553319705949	0.367276659852975
86	0.611905473472112	0.776189053055777	0.388094526527888
87	0.578084317438892	0.843831365122215	0.421915682561108
88	0.5395964042622	0.9208071914756	0.4604035957378
89	0.58408842977579	0.83182314044842	0.41591157022421
90	0.574001897979748	0.851996204040503	0.425998102020252
91	0.532638140293865	0.93472371941227	0.467361859706135
92	0.627642823784665	0.744714352430671	0.372357176215335
93	0.598912552859285	0.80217489428143	0.401087447140715
94	0.594807502083747	0.810384995832507	0.405192497916253
95	0.58374155752537	0.83251688494926	0.41625844247463
96	0.55260106643709	0.89479786712582	0.44739893356291
97	0.505990104013384	0.988019791973233	0.494009895986616
98	0.46821870623514	0.93643741247028	0.53178129376486
99	0.431000387688944	0.862000775377888	0.568999612311056
100	0.394018441619952	0.788036883239904	0.605981558380048
101	0.358482444998728	0.716964889997456	0.641517555001272
102	0.322438669635343	0.644877339270687	0.677561330364657
103	0.31910996485471	0.63821992970942	0.68089003514529
104	0.283783716991102	0.567567433982204	0.716216283008898
105	0.265928339630875	0.531856679261749	0.734071660369125
106	0.228649098307145	0.457298196614289	0.771350901692855
107	0.19736011153308	0.39472022306616	0.80263988846692
108	0.165777570517808	0.331555141035617	0.834222429482192
109	0.184569782747593	0.369139565495187	0.815430217252407
110	0.209925480024787	0.419850960049575	0.790074519975212
111	0.21567600670808	0.43135201341616	0.78432399329192
112	0.195749575010144	0.391499150020287	0.804250424989856
113	0.280685409779097	0.561370819558194	0.719314590220903
114	0.703976324085162	0.592047351829677	0.296023675914838
115	0.672509288463091	0.654981423073819	0.327490711536909
116	0.661955792381476	0.676088415237048	0.338044207618524
117	0.720913562107663	0.558172875784675	0.279086437892338
118	0.674446981545213	0.651106036909574	0.325553018454787
119	0.628431301035107	0.743137397929786	0.371568698964893
120	0.712021788491966	0.575956423016068	0.287978211508034
121	0.76158685556894	0.476826288862118	0.238413144431059
122	0.729132670882991	0.541734658234018	0.270867329117009
123	0.771026204780604	0.457947590438793	0.228973795219396
124	0.723727603440672	0.552544793118656	0.276272396559328
125	0.673323536177093	0.653352927645814	0.326676463822907
126	0.657157123319206	0.685685753361589	0.342842876680794
127	0.65479698882983	0.690406022340339	0.345203011170169
128	0.63660409050385	0.7267918189923	0.36339590949615
129	0.581867956996139	0.836264086007722	0.418132043003861
130	0.527361113197496	0.945277773605007	0.472638886802504
131	0.461757978932994	0.923515957865988	0.538242021067006
132	0.410733480512832	0.821466961025663	0.589266519487168
133	0.357170804725624	0.714341609451248	0.642829195274376
134	0.31394201847092	0.627884036941841	0.68605798152908
135	0.265291419645674	0.530582839291349	0.734708580354326
136	0.255938226574468	0.511876453148936	0.744061773425532
137	0.28003080125306	0.56006160250612	0.71996919874694
138	0.256074734991012	0.512149469982024	0.743925265008988
139	0.288069503717956	0.576139007435912	0.711930496282044
140	0.308140830562619	0.616281661125239	0.69185916943738
141	0.309156365242704	0.618312730485408	0.690843634757296
142	0.563150669746115	0.873698660507769	0.436849330253885
143	0.506639649002095	0.98672070199581	0.493360350997905
144	0.721900534356761	0.556198931286478	0.278099465643239
145	0.6518596368096	0.696280726380799	0.348140363190399
146	0.626305503804482	0.747388992391035	0.373694496195518
147	0.507156221933716	0.985687556132567	0.492843778066284
148	0.473288313127729	0.946576626255459	0.526711686872271
149	0.358130703709342	0.716261407418684	0.641869296290658
150	0.230661699036895	0.46132339807379	0.769338300963105

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	6	0.0428571428571429	OK