Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 4.72314643181462 -0.051400667958957Connected[t] + 0.0363745010698428Separate[t] + 0.521164448664763Learning[t] -0.0438633036984478Happiness[t] -0.0193625948220412Depression[t] + 0.00201574459344998Belonging[t] -0.00241000758858926t + 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)	4.72314643181462	2.568571	1.8388	0.067867	0.033934
Connected	-0.051400667958957	0.047191	-1.0892	0.277769	0.138885
Separate	0.0363745010698428	0.044151	0.8239	0.411286	0.205643
Learning	0.521164448664763	0.067653	7.7035	0	0
Happiness	-0.0438633036984478	0.075403	-0.5817	0.561608	0.280804
Depression	-0.0193625948220412	0.05561	-0.3482	0.728178	0.364089
Belonging	0.00201574459344998	0.014509	0.1389	0.88969	0.444845
t	-0.00241000758858926	0.003221	-0.7482	0.455463	0.227732

Multiple Linear Regression - Regression Statistics
Multiple R	0.554072050165754
R-squared	0.306995836774882
Adjusted R-squared	0.275495647537377
F-TEST (value)	9.74584103162661
F-TEST (DF numerator)	7
F-TEST (DF denominator)	154
p-value	5.07121344917039e-10
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.82298380808959
Sum Squared Residuals	511.783574541749

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	10.0310749850148	1.96892501498517
2	11	11.3871416045315	-0.387141604531483
3	15	13.7285949073313	1.27140509266866
4	6	11.5142550655241	-5.51425506552414
5	13	10.6504017428222	2.34959825717783
6	10	9.8749988452395	0.125001154760504
7	12	12.7981555116805	-0.798155511680472
8	14	11.4173772016424	2.58262279835757
9	12	10.7180317319642	1.28196826803578
10	6	11.2404527130117	-5.24045271301174
11	10	11.4295933894896	-1.42959338948963
12	12	11.5397131884394	0.460286811560576
13	12	11.7563125952494	0.243687404750644
14	11	11.5416035158278	-0.541603515827842
15	15	12.388630807063	2.61136919293697
16	12	11.2893408081201	0.710659191879918
17	10	11.0792212857145	-1.07922128571447
18	12	13.7507817450365	-1.75078174503647
19	11	12.757216807834	-1.75721680783398
20	12	11.6941109681923	0.30588903180766
21	11	11.77466612455	-0.774666124549995
22	12	11.9264442341024	0.0735557658975766
23	13	13.2098585905658	-0.209858590565806
24	11	11.8361639809104	-0.836163980910398
25	9	11.8967391823571	-2.89673918235714
26	13	12.1690649905216	0.830935009478397
27	10	11.6577860833655	-1.65778608336555
28	14	11.3573286490833	2.64267135091667
29	12	11.7242260783448	0.275773921655221
30	10	10.8007291245556	-0.80072912455559
31	12	11.1761516046702	0.823848395329804
32	8	9.92435390993591	-1.92435390993591
33	10	10.3695190364225	-0.369519036422502
34	12	11.8764556287491	0.123544371250929
35	12	10.5620758844619	1.43792411553808
36	7	7.12647870828039	-0.126478708280395
37	6	8.82758107970032	-2.82758107970032
38	12	10.530620086331	1.46937991366899
39	10	11.8186719548594	-1.8186719548594
40	10	11.7419499442964	-1.74194994429639
41	10	11.5420788101124	-1.54207881011244
42	12	10.5492558769258	1.45074412307416
43	15	13.50570032089	1.49429967911005
44	10	10.6221262829341	-0.622126282934144
45	10	10.3759972086742	-0.375997208674243
46	12	9.11923840000014	2.88076159999986
47	13	10.6703690054403	2.32963099455973
48	11	11.2456865372524	-0.245686537252437
49	11	11.5885442474526	-0.5885442474526
50	12	10.4776763388729	1.52232366112708
51	14	11.925971692733	2.074028307267
52	10	10.5904342843976	-0.590434284397627
53	12	9.70089543612242	2.29910456387758
54	13	11.8937857236204	1.10621427637955
55	5	8.18788243393695	-3.18788243393695
56	6	10.4095435036749	-4.40954350367485
57	12	11.3521526719302	0.647847328069826
58	12	11.9709528147636	0.0290471852363824
59	11	11.2332438008123	-0.233243800812297
60	10	11.6791903677761	-1.67919036777614
61	7	9.67525148149917	-2.67525148149917
62	12	11.5485030416439	0.45149695835608
63	14	11.8757968143579	2.1242031856421
64	11	10.764551197741	0.235448802259023
65	12	11.4843008596362	0.515699140363835
66	13	12.4803527067385	0.51964729326154
67	14	12.686698180777	1.313301819223
68	11	12.7687560549493	-1.76875605494931
69	12	9.47851190579761	2.52148809420239
70	12	11.649970734233	0.350029265766973
71	8	8.38919193904274	-0.389191939042736
72	11	10.7513369272098	0.248663072790245
73	14	12.8527708088389	1.14722919116113
74	14	12.7514059808989	1.24859401910114
75	12	11.5016269143154	0.498373085684622
76	9	11.7534010855546	-2.75340108555461
77	13	11.4639510772136	1.53604892278642
78	11	11.493483157995	-0.493483157994985
79	12	10.2418335408047	1.75816645919528
80	12	11.3136277243361	0.686372275663856
81	12	11.7681327160072	0.23186728399276
82	12	13.5942546394261	-1.5942546394261
83	12	11.7194850988785	0.280514901121527
84	12	10.8496917034502	1.15030829654984
85	11	11.1825070958312	-0.1825070958312
86	10	11.5753167975825	-1.57531679758255
87	9	10.516675768543	-1.51667576854304
88	12	11.6828569236893	0.317143076310664
89	12	11.7688399361275	0.231160063872536
90	12	11.2359308810397	0.764069118960275
91	9	9.62362991677853	-0.623629916778532
92	15	11.9229696863138	3.07703031368624
93	12	11.7755271155445	0.224472884455513
94	12	10.9485029862817	1.05149701371834
95	12	10.2673598760019	1.73264012399814
96	10	11.3817310353197	-1.38173103531966
97	13	11.5022149127348	1.49778508726522
98	9	11.4843363048391	-2.48433630483909
99	12	11.3627057872271	0.637294212772876
100	10	10.7447297034952	-0.744729703495166
101	14	11.3885179780855	2.61148202191453
102	11	11.4982278531656	-0.498227853165632
103	15	13.6308114099505	1.36918859004949
104	11	11.1011912872841	-0.10119128728408
105	11	11.7226030629804	-0.72260306298042
106	12	9.72519237339256	2.27480762660744
107	12	11.8833485890253	0.116651410974744
108	12	11.2880417397954	0.711958260204604
109	11	11.6015485229479	-0.601548522947852
110	7	9.21890824233044	-2.21890824233044
111	12	11.725244939401	0.274755060599026
112	14	11.7750244260077	2.22497557399227
113	11	12.5513184038833	-1.55131840388326
114	11	9.95115368041777	1.04884631958223
115	10	9.16618324966291	0.833816750337095
116	13	12.3646201748987	0.635379825101315
117	13	10.7199234541639	2.28007654583605
118	8	10.7177272869336	-2.71772728693364
119	11	10.1391156279847	0.860884372015253
120	12	11.4057251951957	0.594274804804293
121	11	10.1483594845102	0.851640515489847
122	13	11.4244815166164	1.57551848338362
123	12	9.97569666064144	2.02430333935855
124	14	11.5836892706875	2.41631072931247
125	13	10.9469609605346	2.05303903946536
126	15	11.741086814626	3.258913185374
127	10	10.6747402738314	-0.674740273831436
128	11	11.6413002281272	-0.641300228127205
129	9	10.9598661774833	-1.9598661774833
130	11	9.30062430858164	1.69937569141836
131	10	11.6615101519765	-1.6615101519765
132	11	8.69245276159349	2.30754723840651
133	8	11.3347132523929	-3.33471325239288
134	11	9.54023071689118	1.45976928310882
135	12	10.4333684214085	1.56663157859154
136	12	10.8152931560559	1.1847068439441
137	9	9.71014773196199	-0.710147731961985
138	11	10.9753462715012	0.0246537284987859
139	10	9.16860416119961	0.831395838800387
140	8	9.33549796666207	-1.33549796666207
141	9	7.56885007286221	1.43114992713779
142	8	11.5687428989084	-3.56874289890836
143	9	11.0871284333898	-2.08712843338981
144	15	12.2939051104285	2.70609488957153
145	11	11.2204309683385	-0.220430968338543
146	8	7.9191124919345	0.0808875080655009
147	13	12.3061581385194	0.693841861480593
148	12	9.98739573557476	2.01260426442524
149	12	11.5973072953145	0.402692704685543
150	9	9.88623410225667	-0.886234102256665
151	7	8.27343422527237	-1.27343422527237
152	13	10.6211772564565	2.37882274354348
153	9	11.5946964330076	-2.59469643300758
154	6	11.696641433451	-5.69664143345099
155	8	10.4600345367444	-2.46003453674437
156	8	8.22869564857441	-0.228695648574412
157	15	11.7663191930555	3.23368080694454
158	6	10.0724620280182	-4.0724620280182
159	9	10.8875659498256	-1.88756594982562
160	11	11.5173739642786	-0.517373964278588
161	8	9.51183095145847	-1.51183095145847
162	8	9.92878427473045	-1.92878427473045

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.999798361708555	0.000403276582890009	0.000201638291445004
12	0.999578846688441	0.000842306623117219	0.000421153311558609
13	0.999534424675926	0.000931150648148104	0.000465575324074052
14	0.998965032348361	0.00206993530327772	0.00103496765163886
15	0.998843845560168	0.00231230887966484	0.00115615443983242
16	0.998076122399122	0.00384775520175609	0.00192387760087804
17	0.996347503597227	0.00730499280554649	0.00365249640277324
18	0.995240342851986	0.00951931429602849	0.00475965714801425
19	0.992453725233806	0.0150925495323872	0.0075462747661936
20	0.987392711702156	0.0252145765956883	0.0126072882978441
21	0.980465047638016	0.0390699047239677	0.0195349523619839
22	0.973050335053249	0.0538993298935019	0.0269496649467509
23	0.961172591410675	0.07765481717865	0.038827408589325
24	0.945693106508499	0.108613786983003	0.0543068934915013
25	0.940449720593485	0.119100558813031	0.0595502794065153
26	0.958635684569701	0.082728630860597	0.0413643154302985
27	0.94889174521606	0.10221650956788	0.05110825478394
28	0.95511756308148	0.0897648738370396	0.0448824369185198
29	0.937966237555536	0.124067524888927	0.0620337624444636
30	0.921428954620695	0.157142090758609	0.0785710453793046
31	0.904796008219257	0.190407983561487	0.0952039917807433
32	0.918790736272519	0.162418527454963	0.0812092637274814
33	0.894858657728688	0.210282684542625	0.105141342271312
34	0.865099890469892	0.269800219060216	0.134900109530108
35	0.85491461597602	0.29017076804796	0.14508538402398
36	0.82182735901399	0.356345281972019	0.17817264098601
37	0.860275465563747	0.279449068872506	0.139724534436253
38	0.852830342918012	0.294339314163977	0.147169657081988
39	0.846328873599206	0.307342252801588	0.153671126400794
40	0.831341813456132	0.337316373087735	0.168658186543868
41	0.811162206762885	0.37767558647423	0.188837793237115
42	0.798468870057014	0.403062259885972	0.201531129942986
43	0.799857061291509	0.400285877416981	0.200142938708491
44	0.764294967999108	0.471410064001783	0.235705032000891
45	0.726828045372015	0.54634390925597	0.273171954627985
46	0.772840515286988	0.454318969426023	0.227159484713011
47	0.764359316323383	0.471281367353235	0.235640683676617
48	0.725598437355438	0.548803125289123	0.274401562644562
49	0.699942825076529	0.600114349846941	0.300057174923471
50	0.676221209799256	0.647557580401488	0.323778790200744
51	0.664094572018906	0.671810855962189	0.335905427981094
52	0.623034355031949	0.753931289936102	0.376965644968051
53	0.627183381366534	0.745633237266933	0.372816618633466
54	0.583677346221852	0.832645307556296	0.416322653778148
55	0.704456584353887	0.591086831292225	0.295543415646113
56	0.886418478866678	0.227163042266643	0.113581521133322
57	0.861903056018068	0.276193887963865	0.138096943981932
58	0.833975081008897	0.332049837982206	0.166024918991103
59	0.805951288815156	0.388097422369687	0.194048711184844
60	0.807957161885815	0.384085676228369	0.192042838114185
61	0.846722551052265	0.30655489789547	0.153277448947735
62	0.81913154628964	0.361736907420719	0.18086845371036
63	0.818666766118307	0.362666467763387	0.181333233881693
64	0.78644279389844	0.427114412203119	0.21355720610156
65	0.755261711909418	0.489476576181164	0.244738288090582
66	0.716162756110376	0.567674487779248	0.283837243889624
67	0.686874096455673	0.626251807088653	0.313125903544327
68	0.695477117739452	0.609045764521096	0.304522882260548
69	0.68504998610155	0.6299000277969	0.31495001389845
70	0.643758481684159	0.712483036631681	0.356241518315841
71	0.620135627967497	0.759728744065006	0.379864372032503
72	0.577747006372264	0.844505987255472	0.422252993627736
73	0.538553523829559	0.922892952340881	0.461446476170441
74	0.503619902925333	0.992760194149333	0.496380097074667
75	0.475655137947804	0.951310275895608	0.524344862052196
76	0.573411788268424	0.853176423463153	0.426588211731576
77	0.542282031517276	0.915435936965449	0.457717968482724
78	0.514011730237278	0.971976539525445	0.485988269762723
79	0.495681763445299	0.991363526890599	0.504318236554701
80	0.470822644524735	0.941645289049471	0.529177355475265
81	0.426906262029928	0.853812524059855	0.573093737970072
82	0.437231270986488	0.874462541972976	0.562768729013512
83	0.39352513618031	0.787050272360619	0.60647486381969
84	0.35435288614257	0.708705772285141	0.64564711385743
85	0.318956139246971	0.637912278493943	0.681043860753029
86	0.343269418267334	0.686538836534668	0.656730581732666
87	0.369957096968012	0.739914193936024	0.630042903031988
88	0.329551088196309	0.659102176392618	0.670448911803691
89	0.294391565209496	0.588783130418991	0.705608434790505
90	0.263686865315064	0.527373730630127	0.736313134684936
91	0.246987227399945	0.493974454799889	0.753012772600055
92	0.289538563938906	0.579077127877812	0.710461436061094
93	0.254376694765422	0.508753389530843	0.745623305234578
94	0.229821369681321	0.459642739362642	0.770178630318679
95	0.20833184515414	0.416663690308279	0.79166815484586
96	0.219262015083249	0.438524030166497	0.780737984916751
97	0.193143874396765	0.386287748793531	0.806856125603235
98	0.296398920027187	0.592797840054375	0.703601079972813
99	0.258962887482156	0.517925774964313	0.741037112517844
100	0.254175433660112	0.508350867320223	0.745824566339888
101	0.257547658291103	0.515095316582205	0.742452341708897
102	0.24029418728571	0.48058837457142	0.75970581271429
103	0.215149867159475	0.43029973431895	0.784850132840525
104	0.230102261467565	0.460204522935129	0.769897738532435
105	0.207253083364262	0.414506166728523	0.792746916635738
106	0.190591522639964	0.381183045279929	0.809408477360036
107	0.162342072268288	0.324684144536576	0.837657927731712
108	0.136905397610566	0.273810795221132	0.863094602389434
109	0.130915282843869	0.261830565687738	0.869084717156131
110	0.173222240437506	0.346444480875011	0.826777759562494
111	0.144496734927213	0.288993469854426	0.855503265072787
112	0.129845872074147	0.259691744148294	0.870154127925853
113	0.139356748500226	0.278713497000453	0.860643251499774
114	0.114644636392106	0.229289272784212	0.885355363607894
115	0.0920702596291048	0.18414051925821	0.907929740370895
116	0.074328283733426	0.148656567466852	0.925671716266574
117	0.0784532953263476	0.156906590652695	0.921546704673652
118	0.126590101686605	0.253180203373211	0.873409898313395
119	0.102455547652449	0.204911095304898	0.897544452347551
120	0.0842189642302013	0.168437928460403	0.915781035769799
121	0.0655355772151913	0.131071154430383	0.934464422784809
122	0.0528432725913736	0.105686545182747	0.947156727408626
123	0.0436467924545243	0.0872935849090487	0.956353207545476
124	0.0445685481311875	0.089137096262375	0.955431451868813
125	0.0379543166543056	0.0759086333086112	0.962045683345694
126	0.0541038684658674	0.108207736931735	0.945896131534133
127	0.0458479676549428	0.0916959353098856	0.954152032345057
128	0.0354457086756681	0.0708914173513362	0.964554291324332
129	0.0348248805755772	0.0696497611511545	0.965175119424423
130	0.0274338697693603	0.0548677395387206	0.97256613023064
131	0.027669825926274	0.055339651852548	0.972330174073726
132	0.0238192123323747	0.0476384246647494	0.976180787667625
133	0.0790535255067821	0.158107051013564	0.920946474493218
134	0.0723904979264492	0.144780995852898	0.927609502073551
135	0.0560888955274625	0.112177791054925	0.943911104472537
136	0.0407815493485286	0.0815630986970572	0.959218450651471
137	0.0406604825703207	0.0813209651406415	0.959339517429679
138	0.0278928906031635	0.055785781206327	0.972107109396837
139	0.0221324859869313	0.0442649719738626	0.977867514013069
140	0.0177625444456547	0.0355250888913094	0.982237455554345
141	0.0365416303945701	0.0730832607891401	0.96345836960543
142	0.0548327989499644	0.109665597899929	0.945167201050036
143	0.050398934174964	0.100797868349928	0.949601065825036
144	0.315832107461199	0.631664214922398	0.684167892538801
145	0.303687721525604	0.607375443051209	0.696312278474396
146	0.560844686488371	0.878310627023258	0.439155313511629
147	0.518451510970919	0.963096978058163	0.481548489029081
148	0.739515210482668	0.520969579034663	0.260484789517332
149	0.782370238386012	0.435259523227976	0.217629761613988
150	0.655416878542235	0.68916624291553	0.344583121457765
151	0.517293019245862	0.965413961508275	0.482706980754138

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	8	0.0567375886524823	NOK
5% type I error level	14	0.099290780141844	NOK
10% type I error level	30	0.212765957446809	NOK