Multiple Linear Regression - Estimated Regression Equation

Software[t] = + 4.88226007134071 + 0.493032025101953Gender[t] -0.0437482527010791Connected[t] + 0.0178873564985639Separate[t] + 0.516603287827944Learning[t] -0.0664452953070689Happiness[t] -0.0397123919212757depression[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)	4.88226007134071	2.363999	2.0653	0.040564	0.020282
Gender	0.493032025101953	0.312411	1.5782	0.11657	0.058285
Connected	-0.0437482527010791	0.04645	-0.9418	0.347747	0.173874
Separate	0.0178873564985639	0.044464	0.4023	0.688025	0.344012
Learning	0.516603287827944	0.066662	7.7495	0	0
Happiness	-0.0664452953070689	0.075238	-0.8831	0.378531	0.189266
depression	-0.0397123919212757	0.055352	-0.7174	0.474178	0.237089

Multiple Linear Regression - Regression Statistics
Multiple R	0.561671172642115
R-squared	0.315474506177169
Adjusted R-squared	0.288976745125962
F-TEST (value)	11.9057042429932
F-TEST (DF numerator)	6
F-TEST (DF denominator)	155
p-value	5.73879832543867e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.80594373003498
Sum Squared Residuals	505.522077188161

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	12	10.0634252121548	1.9365747878452
2	11	11.3673386527424	-0.367338652742406
3	15	13.7105247514173	1.28947524858271
4	6	11.0845360978408	-5.08453609784084
5	13	10.3780767944861	2.62192320551388
6	10	9.89914733864592	0.100852661354075
7	12	12.7282060298219	-0.728206029821916
8	14	11.4068072356424	2.59319276435761
9	12	10.7580871825279	1.24191281747207
10	6	11.1654671113867	-5.16546711138666
11	10	11.0063252110713	-1.00632521107131
12	12	11.5870500042995	0.41294999570047
13	12	11.3444297446087	0.655570255391328
14	11	11.4884162065841	-0.488416206584101
15	15	12.2755806311909	2.72441936880908
16	12	10.8284724706831	1.17152752931692
17	10	10.6355921033802	-0.635592103380195
18	12	13.6512694910537	-1.65126949105371
19	11	12.3203309154373	-1.32033091543727
20	12	11.7270422284215	0.272957771578454
21	11	11.3572813207317	-0.357281320731673
22	12	12.0454172092381	-0.0454172092381301
23	13	13.2505414445246	-0.25054144452462
24	11	11.8595812497131	-0.859581249713098
25	9	11.4573552107755	-2.45735521077546
26	13	12.4738778767744	0.526122123225637
27	10	11.1921040458535	-1.19210404585352
28	14	11.3095932771569	2.69040672284307
29	12	11.7279142356048	0.272085764395176
30	10	10.4634209552955	-0.463420955295456
31	12	11.3414873349855	0.658512665014471
32	8	9.50624941759187	-1.50624941759187
33	10	10.5098989132185	-0.509898913218459
34	12	11.8748525846618	0.125147415338172
35	12	10.2104229998786	1.78957700012144
36	7	6.80102992897304	0.198970071026955
37	6	8.43487820165716	-2.43487820165716
38	12	10.1498556605863	1.8501443394137
39	10	11.893091510483	-1.89309151048298
40	10	11.4391258634	-1.43912586339995
41	10	11.2405638028064	-1.24056380280637
42	12	10.5845141119408	1.41548588805921
43	15	13.2364957980313	1.76350420196873
44	10	10.313515015366	-0.313515015366032
45	10	10.7050026756358	-0.705002675635756
46	12	9.31117307180747	2.68882692819253
47	13	10.7818524950413	2.2181475049587
48	11	11.3483354800393	-0.348335480039272
49	11	11.513503277459	-0.513503277458993
50	12	10.217074781221	1.78292521877901
51	14	11.9535035431768	2.04649645682324
52	10	10.2582071133594	-0.25820711335944
53	12	9.31914892543535	2.68085107456465
54	13	11.9729386513178	1.02706134868223
55	5	7.96299315359482	-2.96299315359482
56	6	10.5812520764886	-4.58125207648861
57	12	11.4565791725111	0.543420827488879
58	12	12.1193565625141	-0.119356562514083
59	11	10.9551334349726	0.0448665650273877
60	10	11.8179285807012	-1.81792858070116
61	7	9.43711975042334	-2.43711975042334
62	12	11.2463436779527	0.753656322047272
63	14	12.0651466609717	1.9348533390283
64	11	10.8844241736553	0.115575826344708
65	12	11.6881036618279	0.311896338172107
66	13	12.1869020712221	0.813097928777917
67	14	12.812294771619	1.18770522838095
68	11	12.5707700750344	-1.57077007503437
69	12	9.5639354554978	2.4360645445022
70	12	11.218935131095	0.781064868905032
71	8	8.07634097675385	-0.076340976753851
72	11	10.7654832606156	0.234516739384429
73	14	12.8644090894723	1.13559091052771
74	14	12.351295942327	1.64870405767302
75	12	11.3358375851884	0.664162414811627
76	9	11.9291398640454	-2.92913986404543
77	13	11.5312924521019	1.4687075478981
78	11	11.6621446847569	-0.662144684756928
79	12	9.90775128944858	2.09224871055142
80	12	11.2840176109277	0.715982389072312
81	12	11.4076814557624	0.592318544237611
82	12	13.3081434058812	-1.30814340588118
83	12	11.9105291158033	0.0894708841966996
84	12	10.5562654004061	1.44373459959391
85	11	11.3523713408191	-0.352371340819075
86	10	11.798297209836	-1.79829720983604
87	9	10.1299709022542	-1.12997090225425
88	12	11.891671671253	0.108328328746991
89	12	11.9781980886034	0.0218019113965614
90	12	11.4251741748632	0.574825825136774
91	9	9.70948146049804	-0.709481460498039
92	15	12.1885636075238	2.81143639247617
93	12	11.8232289741125	0.176771025887547
94	12	11.1923553213709	0.807644678629067
95	12	10.5911754717289	1.40882452827114
96	10	11.5717786693508	-1.5717786693508
97	13	11.7086070398763	1.29139296012371
98	9	11.7902254882764	-2.79022548827643
99	12	11.0640231413468	0.935976858653192
100	10	10.4579355247289	-0.457935524728858
101	14	11.5887940186661	2.41120598133391
102	11	11.2155750147743	-0.215575014774337
103	15	13.7476115433431	1.2523884566569
104	11	11.0575087498753	-0.0575087498752895
105	11	11.7558135907537	-0.755813590753656
106	12	9.56105703384896	2.43894296615104
107	12	12.1142428533813	-0.114242853381258
108	12	10.9127955440431	1.08720445595693
109	11	11.4319262500108	-0.43192625001083
110	7	9.32010732309192	-2.32010732309192
111	12	11.8770463502066	0.122953649793375
112	14	12.041479530314	1.95852046968602
113	11	12.6833923945003	-1.68339239450032
114	11	9.75555350310591	1.24444649689409
115	10	9.38448432790864	0.615515672091357
116	13	12.1676126912339	0.832387308766088
117	13	10.886364450746	2.11363554925405
118	8	10.8823285899661	-2.88232858996615
119	11	10.4788863400316	0.521113659968431
120	12	11.5895679449809	0.410432055019086
121	11	10.4092772921152	0.590722707884819
122	13	11.7745318973227	1.22546810267733
123	12	10.1858244233708	1.81417557662919
124	14	11.880632358821	2.11936764117902
125	13	11.2946734105436	1.70532658945642
126	15	12.0674385073849	2.93256149261505
127	10	10.5432858108834	-0.543285810883406
128	11	11.8965698597832	-0.896569859783247
129	9	11.1183290118081	-2.11832901180812
130	11	9.61371697081217	1.38628302918783
131	10	11.5306582295819	-1.53065822958191
132	11	8.4965138108568	2.5034861891432
133	8	11.6520754603766	-3.65207546037663
134	11	9.3375841139806	1.6624158860194
135	12	10.195544190378	1.80445580962196
136	12	11.1170644791766	0.882935520823365
137	9	9.61542234297703	-0.615422342977027
138	11	10.776750678278	0.223249321721955
139	10	9.4982736649512	0.501726335048804
140	8	9.71102911115328	-1.71102911115328
141	9	7.4376425007353	1.5623574992647
142	8	11.9483994124896	-3.94839941248957
143	9	10.8009657419697	-1.80096574196966
144	15	12.5574070736828	2.44259292631725
145	11	11.2229299347619	-0.222929934761941
146	8	8.33897390718924	-0.338973907189241
147	13	12.7105244135059	0.289475586494111
148	12	9.91298323156105	2.08701676843895
149	12	11.5613288118919	0.438671188108145
150	9	9.77979829735435	-0.779798297354353
151	7	8.52985687265863	-1.52985687265863
152	13	10.9028795143117	2.09712048568826
153	9	11.4126874045939	-2.41268740459392
154	6	12.0265025389578	-6.02650253895781
155	8	10.8252083232814	-2.82520832328138
156	8	8.56656081856907	-0.566560818569071
157	15	12.1885636075238	2.81143639247617
158	6	10.3598473461234	-4.3598473461234
159	9	11.1183290118081	-2.11832901180812
160	11	11.9977311766257	-0.997731176625698
161	8	9.78151036822736	-1.78151036822736
162	8	10.2414839956872	-2.24148399568719

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.987294436566531	0.0254111268669386	0.0127055634334693
11	0.99815806936148	0.00368386127703918	0.00184193063851959
12	0.995603890511586	0.00879221897682702	0.00439610948841351
13	0.996317386330333	0.00736522733933341	0.0036826136696667
14	0.99286394518028	0.0142721096394391	0.00713605481971955
15	0.994579259137006	0.0108414817259888	0.00542074086299438
16	0.994255640133596	0.0114887197328082	0.00574435986640412
17	0.989997710375716	0.0200045792485675	0.0100022896242838
18	0.986462897016779	0.0270742059664426	0.0135371029832213
19	0.979091358523225	0.0418172829535491	0.0209086414767745
20	0.967540454697866	0.0649190906042682	0.0324595453021341
21	0.952058782326232	0.0958824353475364	0.0479412176737682
22	0.931159737457128	0.137680525085743	0.0688402625428715
23	0.904208057389774	0.191583885220452	0.0957919426102259
24	0.880412508150259	0.239174983699482	0.119587491849741
25	0.86185730676006	0.276285386479879	0.13814269323994
26	0.838829630178347	0.322340739643306	0.161170369821653
27	0.798881105983963	0.402237788032075	0.201118894016037
28	0.804283926792343	0.391432146415315	0.195716073207657
29	0.757784000983408	0.484431998033184	0.242215999016592
30	0.706109291052633	0.587781417894735	0.293890708947368
31	0.65098473376518	0.69803053246964	0.34901526623482
32	0.639762551893733	0.720474896212535	0.360237448106267
33	0.591459717490209	0.817080565019583	0.408540282509791
34	0.533804411717288	0.932391176565425	0.466195588282712
35	0.580612490824628	0.838775018350744	0.419387509175372
36	0.522618976349944	0.954762047300113	0.477381023650056
37	0.566084656142448	0.867830687715105	0.433915343857552
38	0.612787098923869	0.774425802152262	0.387212901076131
39	0.630882656267532	0.738234687464936	0.369117343732468
40	0.590488925935616	0.819022148128767	0.409511074064384
41	0.545853743556923	0.908292512886155	0.454146256443077
42	0.510820043261139	0.978359913477722	0.489179956738861
43	0.5730878297523	0.8538243404954	0.4269121702477
44	0.522276022405801	0.955447955188398	0.477723977594199
45	0.478040349780325	0.95608069956065	0.521959650219675
46	0.510346440990676	0.979307118018649	0.489653559009324
47	0.504286338832218	0.991427322335565	0.495713661167783
48	0.458751662872205	0.917503325744409	0.541248337127795
49	0.419262637062072	0.838525274124145	0.580737362937928
50	0.432679339447729	0.865358678895458	0.567320660552271
51	0.430788173191254	0.861576346382509	0.569211826808746
52	0.38469559616322	0.76939119232644	0.61530440383678
53	0.45119506572442	0.90239013144884	0.54880493427558
54	0.410527789344444	0.821055578688889	0.589472210655556
55	0.505599933025121	0.988800133949759	0.49440006697488
56	0.761943661308431	0.476112677383138	0.238056338691569
57	0.724923229240502	0.550153541518997	0.275076770759498
58	0.683306372661672	0.633387254676656	0.316693627338328
59	0.639445732137676	0.721108535724648	0.360554267862324
60	0.641857021608529	0.716285956782941	0.358142978391471
61	0.658750422514805	0.682499154970389	0.341249577485195
62	0.626357547707681	0.747284904584638	0.373642452292319
63	0.628066957670442	0.743866084659116	0.371933042329558
64	0.582761047731561	0.834477904536879	0.417238952268439
65	0.538365084045503	0.923269831908994	0.461634915954497
66	0.49967613156486	0.99935226312972	0.50032386843514
67	0.472554563433814	0.945109126867627	0.527445436566186
68	0.452456567682638	0.904913135365275	0.547543432317362
69	0.469534930600635	0.93906986120127	0.530465069399365
70	0.429563159718463	0.859126319436926	0.570436840281537
71	0.385157232285396	0.770314464570792	0.614842767714604
72	0.34564366304226	0.691287326084519	0.65435633695774
73	0.31954950018434	0.63909900036868	0.68045049981566
74	0.305211464373406	0.610422928746811	0.694788535626594
75	0.290667458992089	0.581334917984179	0.709332541007911
76	0.349158782722426	0.698317565444852	0.650841217277574
77	0.334566959412782	0.669133918825564	0.665433040587218
78	0.29769434328227	0.59538868656454	0.70230565671773
79	0.320431546416032	0.640863092832064	0.679568453583968
80	0.302041909228141	0.604083818456281	0.697958090771859
81	0.266222714664055	0.53244542932811	0.733777285335945
82	0.251285821015143	0.502571642030286	0.748714178984857
83	0.219601853715531	0.439203707431063	0.780398146284469
84	0.207728454034047	0.415456908068093	0.792271545965953
85	0.177880358753924	0.355760717507847	0.822119641246077
86	0.176862740682992	0.353725481365985	0.823137259317008
87	0.164112221861999	0.328224443723999	0.835887778138001
88	0.13707545711506	0.274150914230121	0.86292454288494
89	0.113120249043768	0.226240498087537	0.886879750956232
90	0.0947719914359735	0.189543982871947	0.905228008564026
91	0.0810639767128307	0.162127953425661	0.918936023287169
92	0.110021369348759	0.220042738697518	0.889978630651241
93	0.0947501437439451	0.18950028748789	0.905249856256055
94	0.0810090481093576	0.162018096218715	0.918990951890642
95	0.0736289588179543	0.147257917635909	0.926371041182046
96	0.0704999904800236	0.140999980960047	0.929500009519976
97	0.0631767476685646	0.126353495337129	0.936823252331435
98	0.0869922616656851	0.17398452333137	0.913007738334315
99	0.0738306914977555	0.147661382995511	0.926169308502245
100	0.0596112673027859	0.119222534605572	0.940388732697214
101	0.0724907951875413	0.144981590375083	0.927509204812459
102	0.0577938348983761	0.115587669796752	0.942206165101624
103	0.055055394272913	0.110110788545826	0.944944605727087
104	0.0458543052675562	0.0917086105351125	0.954145694732444
105	0.038077575756487	0.076155151512974	0.961922424243513
106	0.0416828067429735	0.0833656134859471	0.958317193257026
107	0.03227829508864	0.0645565901772801	0.96772170491136
108	0.0295222347248506	0.0590444694497011	0.970477765275149
109	0.0226384406029706	0.0452768812059412	0.977361559397029
110	0.0251801343805017	0.0503602687610034	0.974819865619498
111	0.0193065007005776	0.0386130014011553	0.980693499299422
112	0.0206694842148958	0.0413389684297916	0.979330515785104
113	0.0187354319990905	0.037470863998181	0.98126456800091
114	0.0157215423400321	0.0314430846800643	0.984278457659968
115	0.0120966922353577	0.0241933844707153	0.987903307764642
116	0.00935646695156436	0.0187129339031287	0.990643533048436
117	0.0144230476334531	0.0288460952669063	0.985576952366547
118	0.0177340276316017	0.0354680552632034	0.982265972368398
119	0.0131458183375076	0.0262916366750152	0.986854181662492
120	0.0102883434319509	0.0205766868639017	0.989711656568049
121	0.00808563321278624	0.0161712664255725	0.991914366787214
122	0.00653400675215586	0.0130680135043117	0.993465993247844
123	0.00799778951621173	0.0159955790324235	0.992002210483788
124	0.0127631881348538	0.0255263762697077	0.987236811865146
125	0.0134893756519821	0.0269787513039641	0.986510624348018
126	0.0386806474731733	0.0773612949463466	0.961319352526827
127	0.0303127497761712	0.0606254995523424	0.969687250223829
128	0.0231942315754041	0.0463884631508082	0.976805768424596
129	0.0195090996823392	0.0390181993646785	0.980490900317661
130	0.019312404795424	0.0386248095908481	0.980687595204576
131	0.0160394018583275	0.0320788037166549	0.983960598141673
132	0.0183523247806726	0.0367046495613452	0.981647675219327
133	0.0309846616182405	0.0619693232364809	0.96901533838176
134	0.0317533558382773	0.0635067116765546	0.968246644161723
135	0.0319168385783453	0.0638336771566906	0.968083161421655
136	0.027905012077166	0.0558100241543319	0.972094987922834
137	0.0244715654769973	0.0489431309539945	0.975528434523003
138	0.01685081615895	0.0337016323178999	0.98314918384105
139	0.0194049538809448	0.0388099077618896	0.980595046119055
140	0.0139523990890866	0.0279047981781732	0.986047600910913
141	0.0343595083382786	0.0687190166765572	0.965640491661721
142	0.0448187430840759	0.0896374861681517	0.955181256915924
143	0.0319928472958469	0.0639856945916938	0.968007152704153
144	0.262353496000975	0.52470699200195	0.737646503999025
145	0.332436386319189	0.664872772638379	0.667563613680811
146	0.521110078138097	0.957779843723807	0.478889921861903
147	0.498540470508927	0.997080941017853	0.501459529491073
148	0.826095232309668	0.347809535380664	0.173904767690332
149	0.795948373919119	0.408103252161762	0.204051626080881
150	0.74012660573333	0.51974678853334	0.25987339426667
151	0.675021904085909	0.649956191828182	0.324978095914091
152	0.658428014314573	0.683143971370854	0.341571985685427

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	3	0.020979020979021	NOK
5% type I error level	35	0.244755244755245	NOK
10% type I error level	52	0.363636363636364	NOK