Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 6.32453227714989 + 0.0811177693027703Connected[t] + 0.059742187056915Belonging[t] + 0.0614681464799096Software[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)	6.32453227714989	2.222733	2.8454	0.005024	0.002512
Connected	0.0811177693027703	0.05256	1.5433	0.124752	0.062376
Belonging	0.059742187056915	0.016523	3.6157	0.000402	0.000201
Software	0.0614681464799096	0.08262	0.744	0.457992	0.228996

Multiple Linear Regression - Regression Statistics
Multiple R	0.314895788240558
R-squared	0.0991593574516424
Adjusted R-squared	0.0820547882893318
F-TEST (value)	5.79724379554307
F-TEST (DF numerator)	3
F-TEST (DF denominator)	158
p-value	0.000874029415911526
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.23965918891424
Sum Squared Residuals	792.539578633099

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.5543144903389	0.4456855096611
2	18	15.3021029781316	2.69789702186837
3	11	13.623071899188	-2.62307189918803
4	12	13.2107185372285	-1.21071853722853
5	16	14.4220285540084	1.57797144599156
6	18	14.4382262579853	3.56177374201469
7	14	13.3920789517333	0.60792104826666
8	14	14.722465448716	-0.722465448716013
9	15	14.4033115720202	0.596688427979755
10	15	14.2351048365574	0.764895163442613
11	17	14.7413217529505	2.25867824704946
12	19	13.2084678308819	5.79153216911805
13	10	14.1473518012274	-4.14735180122738
14	16	13.3903529923103	2.60964700768965
15	18	15.1210111352916	2.87898886470844
16	14	13.1229655018985	0.877034498101477
17	14	14.3401174661173	-0.34011746611734
18	17	15.4019377294226	1.5980622705774
19	14	13.9877748628795	0.012225137120504
20	16	13.0632233148416	2.93677668515839
21	18	13.5394348518739	4.46056514812607
22	11	13.6392696031649	-2.6392696031649
23	14	13.5132892852702	0.486710714729835
24	12	13.3476018278186	-1.34760182781864
25	17	15.1791666851718	1.82083331482819
26	9	15.2288216873555	-6.2288216873555
27	16	14.3998596531743	1.60014034682574
28	14	13.9841836217872	0.0158163782128221
29	15	14.3989270123396	0.601072987660406
30	11	13.6999444310565	-2.69994443105648
31	16	14.3561758478479	1.64382415215212
32	13	12.2325353212374	0.767464678762626
33	17	14.1822664871925	2.81773351280755
34	15	14.8384979039839	0.161502096016146
35	14	14.2410760334147	-0.241076033414704
36	16	13.5922732012389	2.40772679876113
37	9	12.8095142503953	-3.80951425039533
38	15	14.2240850108495	0.7759149891505
39	17	13.8320352680549	3.16796473194514
40	13	13.9005465744731	-0.90054657447308
41	15	14.3614930483632	0.638506951636804
42	16	14.3008182204716	1.69918177952838
43	16	13.5551078089272	2.44489219107279
44	12	12.8849293945055	-0.884929394505525
45	12	14.1438998823814	-2.14389988238139
46	11	14.1259762189815	-3.12597621898153
47	15	14.0893355735935	0.91066442640654
48	15	14.1582323046889	0.841767695311061
49	17	14.3418434255403	2.65815657445966
50	13	14.6252892976827	-1.6252892976827
51	16	14.0822924136552	1.91770758634485
52	14	13.5377088924509	0.462291107549061
53	11	13.4216764371831	-2.4216764371831
54	12	13.5856379352116	-1.58563793521163
55	12	12.9913994118237	-0.991399411823731
56	15	14.2351048365574	0.764895163442613
57	16	14.6466648799286	1.35333512007144
58	15	13.4172918775024	1.58270812249755
59	12	14.3632190077862	-2.36321900778619
60	12	13.96028876153	-1.96028876153
61	8	12.3546782956089	-4.35467829560886
62	13	14.7447736717965	-1.74477367179653
63	11	14.5432388875453	-3.54323888754527
64	14	12.6219264637744	1.37807353622565
65	15	13.0462322922764	1.9537677077236
66	10	14.7421150715389	-4.74211507153887
67	11	14.0483103685247	-3.04831036852474
68	12	13.7953946226668	-1.7953946226668
69	15	13.9895008223025	1.01049917769751
70	15	14.0234828674329	0.976517132567101
71	14	13.9014792153077	0.0985207846922581
72	16	12.7414108378882	3.25858916211182
73	15	14.7822076357729	0.217792364227072
74	15	14.389772468301	0.610227531698971
75	13	14.8384979039839	-1.83849790398385
76	12	14.8207135628303	-2.82071356283032
77	17	14.3069287395753	2.69307126042474
78	13	13.8808969516502	-0.880896951650219
79	15	13.9335959787688	1.06640402123117
80	13	13.2895856001847	-0.289585600184715
81	15	14.4586691993965	0.541330800603491
82	16	11.8557731108188	4.14422688918124
83	15	14.1429672415467	0.857032758453271
84	16	14.4246871542661	1.5753128457339
85	15	13.8978879742154	1.10211202578458
86	14	14.2162485323229	-0.216248532322859
87	15	14.440884858243	0.559115141757029
88	14	13.8612473288274	0.138752671172641
89	13	12.6406434457626	0.359356554237448
90	7	13.9209895158843	-6.92098951588427
91	17	13.7535760990097	3.24642390099025
92	13	13.3928722703217	-0.392872270321673
93	15	14.5014203638882	0.498579636111781
94	14	14.5567779912645	-0.556777991264483
95	13	14.1939403092423	-1.19394030924234
96	16	14.8821817093102	1.11781829068977
97	12	14.2471865525184	-2.24718655251835
98	14	14.3767581115054	-0.376758111505406
99	17	14.9026246507214	2.09737534927858
100	15	14.0753885759632	0.924611424036826
101	17	14.8079677776994	2.19203222230057
102	12	14.3632190077862	-2.36321900778619
103	16	15.244880069086	0.755119930913962
104	11	13.5394348518739	-2.53943485187393
105	15	14.3972010529166	0.602798947083401
106	9	14.3693295268898	-5.36932952688984
107	16	14.6850314847396	1.31496851526038
108	15	14.6296738573634	0.370326142636649
109	10	13.146999684402	-3.14699968440204
110	10	12.9910139871465	-2.99101398714647
111	15	14.3945424526589	0.605457547341058
112	11	14.1206590184662	-3.12065901846621
113	13	14.8537629671261	-1.85376296712606
114	14	11.8666536142803	2.13334638571969
115	18	14.480977422477	3.51902257752297
116	16	15.2628037324859	0.737196267514096
117	14	13.0265826694535	0.973417330546457
118	14	13.7562346992674	0.243765300732594
119	14	13.7997791823475	0.200220817652551
120	14	15.5214221035364	-1.52142210353643
121	12	12.9036463764937	-0.903646376493724
122	14	14.1786752461001	-0.178675246100133
123	15	15.4616799164795	-0.46167991647951
124	15	14.7268500083967	0.273149991603336
125	15	14.1616842235349	0.838315776465072
126	13	14.4808381002307	-1.4808381002307
127	17	15.4796035798794	1.52039642012062
128	17	14.9907855799625	2.0092144200375
129	19	14.3937491340706	4.60625086592939
130	15	14.1412412821237	0.858758717876265
131	13	13.7766776406786	-0.776677640678599
132	9	13.2149637746629	-4.21496377466285
133	15	14.6611366244824	0.338863375517567
134	15	13.0741038183032	1.92589618169683
135	15	14.484429341323	0.515570658676985
136	16	14.5567779912645	1.44322200873552
137	11	12.3751212370201	-1.37512123702005
138	14	13.5224438293087	0.47755617069127
139	11	12.5988249221055	-1.5988249221055
140	15	13.4788993462287	1.52110065377131
141	13	13.5146073507821	-0.514607350782089
142	15	12.6381241677512	2.36187583224877
143	16	14.329622387333	1.67037761266696
144	14	14.8179156403263	-0.817915640326331
145	15	14.1154811401972	0.884518859802772
146	16	15.3780428691654	0.621957130834587
147	16	14.2597930154029	1.7402069845971
148	11	13.5669209532234	-2.56692095322343
149	12	14.1385826818661	-2.13858268186608
150	9	14.0780471762208	-5.07804717622083
151	16	14.9153704358523	1.0846295641477
152	13	15.2501972696014	-2.25019726960135
153	16	13.8774450328042	2.12255496719577
154	12	13.8339005497242	-1.83390054972419
155	9	13.7776102815133	-4.77761028151326
156	13	14.15305442642	-1.15305442641996
157	13	13.3928722703217	-0.392872270321673
158	14	13.4113206806451	0.588679319354869
159	19	14.3937491340706	4.60625086592939
160	13	14.7770297575039	-1.77702975750394
161	12	14.4303897794587	-2.43038977945867
162	13	13.6964925122105	-0.696492512210491

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.283584498683288	0.567168997366576	0.716415501316712
8	0.238352065391566	0.476704130783132	0.761647934608434
9	0.137024416063648	0.274048832127297	0.862975583936352
10	0.110435455616801	0.220870911233603	0.889564544383199
11	0.0597562438608519	0.119512487721704	0.940243756139148
12	0.646466672799499	0.707066654401002	0.353533327200501
13	0.908182936375982	0.183634127248036	0.091817063624018
14	0.882418212204916	0.235163575590167	0.117581787795084
15	0.884493157424388	0.231013685151223	0.115506842575612
16	0.845899478137994	0.308201043724011	0.154100521862006
17	0.81090603232225	0.3781879353555	0.18909396767775
18	0.756705021300103	0.486589957399794	0.243294978699897
19	0.710256818964465	0.57948636207107	0.289743181035535
20	0.72903811299417	0.54192377401166	0.27096188700583
21	0.811320733163704	0.377358533672591	0.188679266836296
22	0.854652055387992	0.290695889224016	0.145347944612008
23	0.816143976128999	0.367712047742002	0.183856023871001
24	0.807237168063273	0.385525663873454	0.192762831936727
25	0.766272578620489	0.467454842759021	0.233727421379511
26	0.965612363029327	0.0687752739413452	0.0343876369706726
27	0.95492976693606	0.0901404661278798	0.0450702330639399
28	0.938944647548953	0.122110704902093	0.0610553524510466
29	0.919025179543834	0.161949640912333	0.0809748204561664
30	0.939604355042733	0.120791289914534	0.060395644957267
31	0.925123115054736	0.149753769890528	0.0748768849452638
32	0.904720742905799	0.190558514188403	0.0952792570942013
33	0.904312271013314	0.191375457973373	0.0956877289866864
34	0.878927572428577	0.242144855142845	0.121072427571423
35	0.851336106297625	0.297327787404749	0.148663893702375
36	0.833726208320143	0.332547583359713	0.166273791679857
37	0.912664143952957	0.174671712094086	0.0873358560470431
38	0.890529137348592	0.218941725302817	0.109470862651408
39	0.900649945414537	0.198700109170925	0.0993500545854626
40	0.884091093825583	0.231817812348833	0.115908906174417
41	0.857470297752448	0.285059404495103	0.142529702247552
42	0.837343784232566	0.325312431534869	0.162656215767434
43	0.834922942379437	0.330154115241126	0.165077057620563
44	0.810404821416728	0.379190357166544	0.189595178583272
45	0.81488014041455	0.370239719170901	0.18511985958545
46	0.851742676175997	0.296514647648007	0.148257323824003
47	0.824275194097037	0.351449611805926	0.175724805902963
48	0.792596004021615	0.414807991956769	0.207403995978385
49	0.796098299528857	0.407803400942286	0.203901700471143
50	0.785120622801099	0.429758754397803	0.214879377198902
51	0.766099053342037	0.467801893315926	0.233900946657963
52	0.728099902743564	0.543800194512873	0.271900097256436
53	0.745109782251241	0.509780435497518	0.254890217748759
54	0.72942522659465	0.5411495468107	0.27057477340535
55	0.697876882544162	0.604246234911675	0.302123117455837
56	0.658098454212618	0.683803091574765	0.341901545787382
57	0.625814061953531	0.748371876092939	0.374185938046469
58	0.596729622775933	0.806540754448134	0.403270377224067
59	0.609929658908331	0.780140682183338	0.390070341091669
60	0.604104202901714	0.791791594196573	0.395895797098286
61	0.712746352224631	0.574507295550738	0.287253647775369
62	0.703121284793132	0.593757430413737	0.296878715206869
63	0.771228815036791	0.457542369926418	0.228771184963209
64	0.74912566647378	0.50174866705244	0.25087433352622
65	0.739585319205555	0.52082936158889	0.260414680794445
66	0.853656503269645	0.29268699346071	0.146343496730355
67	0.873874334641039	0.252251330717922	0.126125665358961
68	0.865157310555883	0.269685378888235	0.134842689444117
69	0.84397338651189	0.312053226976221	0.15602661348811
70	0.820249660316244	0.359500679367511	0.179750339683755
71	0.788557278217962	0.422885443564075	0.211442721782038
72	0.821548639122754	0.356902721754491	0.178451360877246
73	0.790319355024468	0.419361289951063	0.209680644975531
74	0.758639997854142	0.482720004291716	0.241360002145858
75	0.746178422349748	0.507643155300504	0.253821577650252
76	0.76438432693125	0.4712313461375	0.23561567306875
77	0.7794544147321	0.441091170535799	0.2205455852679
78	0.749492609043464	0.501014781913072	0.250507390956536
79	0.720274864972281	0.559450270055437	0.279725135027719
80	0.681682659419375	0.63663468116125	0.318317340580625
81	0.642426565740575	0.71514686851885	0.357573434259425
82	0.754509253181397	0.490981493637206	0.245490746818603
83	0.724541191744447	0.550917616511105	0.275458808255553
84	0.708477489164765	0.583045021670469	0.291522510835235
85	0.679143487242033	0.641713025515935	0.320856512757967
86	0.637335659744451	0.725328680511098	0.362664340255549
87	0.597075409275016	0.805849181449969	0.402924590724984
88	0.553622743709943	0.892754512580114	0.446377256290057
89	0.515948580285321	0.968102839429357	0.484051419714679
90	0.839219639094635	0.321560721810729	0.160780360905365
91	0.870076869178741	0.259846261642518	0.129923130821259
92	0.847145472990181	0.305709054019638	0.152854527009819
93	0.820182982282706	0.359634035434588	0.179817017717294
94	0.790045236875579	0.419909526248842	0.209954763124421
95	0.76551294373372	0.468974112532559	0.23448705626628
96	0.738420085891814	0.523159828216372	0.261579914108186
97	0.731542789660858	0.536914420678284	0.268457210339142
98	0.692554531461278	0.614890937077443	0.307445468538722
99	0.689563468889944	0.620873062220112	0.310436531110056
100	0.654259335865232	0.691481328269536	0.345740664134768
101	0.663380809099929	0.673238381800143	0.336619190900071
102	0.661421248727822	0.677157502544355	0.338578751272178
103	0.624509676168502	0.750980647662995	0.375490323831498
104	0.629487497236951	0.741025005526098	0.370512502763049
105	0.586760883883085	0.82647823223383	0.413239116116915
106	0.766531583807507	0.466936832384985	0.233468416192493
107	0.743834951575995	0.512330096848011	0.256165048424005
108	0.706006280185381	0.587987439629238	0.293993719814619
109	0.731860774355997	0.536278451288006	0.268139225644003
110	0.764871017897136	0.470257964205729	0.235128982102864
111	0.7311908180054	0.5376183639892	0.2688091819946
112	0.758394422241121	0.483211155517758	0.241605577758879
113	0.744408678412372	0.511182643175256	0.255591321587628
114	0.755665217846968	0.488669564306064	0.244334782153032
115	0.812331095965657	0.375337808068686	0.187668904034343
116	0.779124511793772	0.441750976412456	0.220875488206228
117	0.759872791121619	0.480254417756762	0.240127208878381
118	0.717727963520559	0.564544072958881	0.282272036479441
119	0.673292969204238	0.653414061591524	0.326707030795762
120	0.654130183331626	0.691739633336749	0.345869816668374
121	0.606113617012555	0.78777276597489	0.393886382987445
122	0.553209023201492	0.893581953597016	0.446790976798508
123	0.505564985226256	0.988870029547487	0.494435014773744
124	0.452586261154804	0.905172522309607	0.547413738845196
125	0.410632217077589	0.821264434155177	0.589367782922412
126	0.375612242284223	0.751224484568445	0.624387757715777
127	0.336426672792473	0.672853345584947	0.663573327207527
128	0.343502679402	0.687005358804	0.656497320598
129	0.506754309992056	0.986491380015887	0.493245690007944
130	0.466630590289531	0.933261180579062	0.533369409710469
131	0.411037410991755	0.82207482198351	0.588962589008245
132	0.557122146171121	0.885755707657759	0.442877853828879
133	0.512412238362282	0.975175523275437	0.487587761637718
134	0.483598282634441	0.967196565268881	0.516401717365559
135	0.438713371161873	0.877426742323746	0.561286628838127
136	0.403155482785823	0.806310965571645	0.596844517214177
137	0.362755231178753	0.725510462357506	0.637244768821247
138	0.316311049288672	0.632622098577345	0.683688950711328
139	0.281329328440518	0.562658656881035	0.718670671559482
140	0.268858137268411	0.537716274536822	0.731141862731589
141	0.216364961683891	0.432729923367781	0.783635038316109
142	0.262004088677507	0.524008177355015	0.737995911322493
143	0.221786134277363	0.443572268554726	0.778213865722637
144	0.190603844567143	0.381207689134286	0.809396155432857
145	0.146441149930797	0.292882299861594	0.853558850069203
146	0.120646810106904	0.241293620213807	0.879353189893096
147	0.106262078202551	0.212524156405102	0.893737921797449
148	0.0782750361515236	0.156550072303047	0.921724963848476
149	0.0638054411133462	0.127610882226692	0.936194558886654
150	0.139772968379505	0.279545936759011	0.860227031620495
151	0.152168425836295	0.304336851672589	0.847831574163705
152	0.131404692805398	0.262809385610796	0.868595307194602
153	0.145658931405229	0.291317862810458	0.854341068594771
154	0.115733082816037	0.231466165632075	0.884266917183963
155	0.101370736852997	0.202741473705995	0.898629263147003

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	2	0.0134228187919463	OK