Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 9.174854963803 + 0.072817424528337Age[t] + 0.0627997164256947Belonging[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)	9.174854963803	1.528894	6.001	0	0
Age	0.072817424528337	0.153323	0.4749	0.635489	0.317745
Belonging	0.0627997164256947	0.016594	3.7844	0.000218	0.000109

Multiple Linear Regression - Regression Statistics
Multiple R	0.287897573101084
R-squared	0.0828850125974942
Adjusted R-squared	0.0713489750201042
F-TEST (value)	7.18487713319729
F-TEST (DF numerator)	2
F-TEST (DF denominator)	159
p-value	0.00102965411799338
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.25268168015336
Sum Squared Residuals	806.857385583671

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.0129619060632	0.987038093936788
2	18	14.9397176990544	3.06028230094556
3	11	13.6837233705405	-2.68372337054054
4	12	13.7465230869662	-1.74652308696624
5	16	14.5301728083825	1.4698271916175
6	18	14.5101373921772	3.48986260782278
7	14	12.8673270570065	1.13267294299349
8	14	14.6357368250286	-0.635736825028605
9	15	14.1861211019461	0.8138788980539
10	15	14.2389031102692	0.761096889730848
11	17	14.5729371086029	2.42706289139709
12	19	12.9301267734322	6.06987322656779
13	10	13.7465230869662	-3.74652308696624
14	16	13.0029441979605	2.99705580203946
15	18	15.1481522645368	2.8518477354632
16	14	13.2541430636633	0.745856936336679
17	14	14.3945556674285	-0.394555667428468
18	17	15.1381345564342	1.86186544356584
19	14	13.7765762112742	0.223423788725837
20	16	13.264160771766	2.73583922823404
21	18	13.6837233705405	4.31627662945946
22	11	13.8093228033919	-2.80932280339193
23	14	13.0757616224889	0.924238377511121
24	12	13.2013610553403	-1.20136105534027
25	17	14.9397176990544	2.06028230094556
26	9	14.4901019759719	-5.49010197597193
27	16	14.6758076574392	1.32419234256083
28	14	13.944939944346	0.0550600556540371
29	15	14.4373199676489	0.562680032351121
30	11	13.7465230869662	-2.74652308696624
31	16	14.5629194005003	1.43708059949973
32	13	12.9301267734322	0.0698732265677952
33	17	14.0705393771974	2.92946062280265
34	15	14.814118266203	0.185881733796953
35	14	14.1861211019461	-0.1861211019461
36	16	13.997721952669	2.00227804733098
37	9	13.4953242212635	-4.49532422126346
38	15	13.997721952669	1.00227804733098
39	17	14.3117205347975	2.68827946520251
40	13	13.8721225198176	-0.872122519817626
41	15	14.1861211019461	0.8138788980539
42	16	14.3945556674285	1.60544433257153
43	16	12.9301267734322	3.0698732265678
44	12	12.8773447651092	-0.877344765109152
45	12	14.0177573688743	-2.0177573688743
46	11	13.9549576524486	-2.9549576524486
47	15	13.6209236541148	1.37907634588515
48	15	14.2489208183718	0.751079181628206
49	17	14.1133036774178	2.88669632258224
50	13	14.2489208183718	-1.24892081837179
51	16	13.9877042445664	2.01229575543363
52	14	13.7465230869662	0.253476913033764
53	11	13.4953242212635	-2.49532422126346
54	12	13.5781593538944	-1.57815935389444
55	12	13.4953242212635	-1.49532422126346
56	15	14.3117205347975	0.688279465202511
57	16	14.2589385264744	1.74106147352556
58	15	13.6737056624379	1.3262943375621
59	12	14.1961388100487	-2.19613881004874
60	12	14.0077396607717	-2.00773966077166
61	8	12.8673270570065	-4.86732705700651
62	13	14.5201551002799	-1.52015510027986
63	11	14.4473376757515	-3.44733767575152
64	14	13.0229796141658	0.977020385834174
65	15	13.0757616224889	1.92423837751112
66	10	14.5629194005003	-4.56291940050027
67	11	13.7565407950689	-2.75654079506888
68	12	14.1961388100487	-2.19613881004874
69	15	13.4953242212635	1.50467577873654
70	15	13.8721225198176	1.12787748018237
71	14	13.7465230869662	0.253476913033764
72	16	12.9301267734322	3.0698732265678
73	15	14.5529016923976	0.447098307602374
74	15	13.944939944346	1.05506005565404
75	13	14.8869356907314	-1.88693569073138
76	12	14.6357368250286	-2.6357368250286
77	17	14.0077396607717	2.99226033922834
78	13	14.0177573688743	-1.0177573688743
79	15	14.3745202512232	0.625479748776816
80	13	13.0757616224889	-0.0757616224888787
81	15	14.5729371086029	0.42706289139709
82	16	11.4229335792155	4.57706642078447
83	15	13.997721952669	1.00227804733098
84	16	14.0505039609921	1.94949603900793
85	15	14.2789739426797	0.721026057320279
86	14	14.5929725248082	-0.592972524808195
87	15	14.2489208183718	0.751079181628206
88	14	13.8721225198176	0.127877480182374
89	13	13.0029441979605	-0.00294419796054175
90	7	13.862104811715	-6.86210481171498
91	17	14.1233213855204	2.8766786144796
92	13	12.9301267734322	0.0698732265677952
93	15	14.3745202512232	0.625479748776816
94	14	14.6885188333517	-0.688518833351658
95	13	14.6357368250286	-1.63573682502861
96	16	14.6357368250286	1.36426317497139
97	12	13.8721225198176	-1.87212251981763
98	14	14.5101373921772	-0.510137392177216
99	17	14.625719116926	2.37428088307404
100	15	14.4573553838542	0.542644616145837
101	17	14.3117205347975	2.68827946520251
102	12	14.1961388100487	-2.19613881004874
103	16	14.9497354071571	1.05026459284292
104	11	13.7565407950689	-2.75654079506888
105	15	14.4273022595462	0.572697740453764
106	9	13.8093228033919	-4.80932280339193
107	16	14.3117205347975	1.68827946520251
108	15	14.1433568017257	0.85664319827431
109	10	13.0029441979605	-3.00294419796054
110	10	12.71899874014	-2.71899874013999
111	15	14.76133625788	0.238663742120005
112	11	14.2589385264744	-3.25893852647444
113	13	15.0653171319058	-2.06531713190583
114	14	11.9981487351494	2.00185126485057
115	18	14.3117205347975	3.68827946520251
116	16	15.1581699726394	0.841830027360553
117	14	13.0757616224889	0.924238377511121
118	14	13.9349222362433	0.0650777637566793
119	14	14.0177573688743	-0.0177573688742998
120	14	15.2637339892856	-1.26373398928555
121	12	13.0029441979605	-1.00294419796054
122	14	14.6029902329108	-0.602990232910837
123	15	15.2737516973882	-0.273751697388194
124	15	14.3845379593258	0.615462040674174
125	15	14.1233213855204	0.876678614479595
126	13	14.5001196840746	-1.50011968407457
127	17	15.2637339892856	1.73626601071445
128	17	14.2589385264744	2.74106147352556
129	19	14.7713539659826	4.22864603401736
130	15	14.0605216690947	0.93947833090529
131	13	13.997721952669	-0.997721952669016
132	9	13.6837233705405	-4.68372337054054
133	15	14.4473376757515	0.552662324248479
134	15	13.5481062295865	1.45189377041349
135	15	14.1861211019461	0.8138788980539
136	16	14.8341536824083	1.16584631759167
137	11	12.9301267734322	-1.9301267734322
138	14	13.6409590703201	0.359040929679869
139	11	13.0757616224889	-2.07576162248888
140	15	13.6309413622175	1.36905863778251
141	13	13.8721225198176	-0.872122519817626
142	15	13.1485790470172	1.85142095298278
143	16	14.814118266203	1.18588173379695
144	14	14.9397176990544	-0.939717699054436
145	15	14.3745202512232	0.625479748776816
146	16	15.2009342728599	0.799065727140142
147	16	14.2389031102692	1.76109688973085
148	11	13.3069250719864	-2.30692507198637
149	12	14.2489208183718	-2.24892081837179
150	9	14.2689562345771	-5.26895623457708
151	16	14.9497354071571	1.05026459284292
152	13	14.6457545331312	-1.64575453313125
153	16	14.3618090753107	1.6381909246893
154	12	14.133339093623	-2.13333909362305
155	9	14.0905747934026	-5.09057479340264
156	13	14.3645025431205	-1.36450254312054
157	13	12.9301267734322	0.0698732265677952
158	14	13.944939944346	0.0550600556540371
159	19	14.7713539659826	4.22864603401736
160	13	14.9597531152597	-1.95975311525972
161	12	14.8869356907314	-2.88693569073138
162	13	13.944939944346	-0.944939944345963

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.61323502392651	0.77352995214698	0.38676497607349
7	0.657128508006509	0.685742983986982	0.342871491993491
8	0.627536073080475	0.74492785383905	0.372463926919525
9	0.504244154049504	0.991511691900993	0.495755845950496
10	0.391718004793542	0.783436009587084	0.608281995206458
11	0.314207357093202	0.628414714186404	0.685792642906798
12	0.796142730973536	0.407714538052927	0.203857269026464
13	0.914602572837018	0.170794854325964	0.085397427162982
14	0.899973988230653	0.200052023538695	0.100026011769347
15	0.875719742685024	0.248560514629952	0.124280257314976
16	0.832742712455416	0.334514575089168	0.167257287544584
17	0.813354438896508	0.373291122206984	0.186645561103492
18	0.767598186596126	0.464803626807748	0.232401813403874
19	0.726801801074324	0.546396397851352	0.273198198925676
20	0.697235243550745	0.605529512898509	0.302764756449255
21	0.769090649391692	0.461818701216615	0.230909350608308
22	0.836389854549361	0.327220290901278	0.163610145450639
23	0.795292009113729	0.409415981772541	0.204707990886271
24	0.791054388204693	0.417891223590615	0.208945611795307
25	0.756837125867058	0.486325748265883	0.243162874132942
26	0.930414345447664	0.139171309104672	0.0695856545523362
27	0.9155127924184	0.168974415163201	0.0844872075816005
28	0.89179236434925	0.2164152713015	0.10820763565075
29	0.86203336766706	0.275933264665879	0.137966632332939
30	0.881292065165678	0.237415869668643	0.118707934834322
31	0.858915147269873	0.282169705460254	0.141084852730127
32	0.824414472152967	0.351171055694066	0.175585527847033
33	0.828004240609768	0.343991518780465	0.171995759390232
34	0.79013011267032	0.419739774659358	0.209869887329679
35	0.749567488528095	0.50086502294381	0.250432511471905
36	0.731036590901041	0.537926818197918	0.268963409098959
37	0.850615262707446	0.298769474585108	0.149384737292554
38	0.822009997208002	0.355980005583996	0.177990002791998
39	0.826862679086262	0.346274641827476	0.173137320913738
40	0.798964146869131	0.402071706261737	0.201035853130869
41	0.763090517077102	0.473818965845796	0.236909482922898
42	0.731003928848846	0.537992142302308	0.268996071151154
43	0.760790517157279	0.478418965685442	0.239209482842721
44	0.733541539128867	0.532916921742266	0.266458460871133
45	0.75266713159675	0.494665736806499	0.24733286840325
46	0.804016278687263	0.391967442625475	0.195983721312737
47	0.7786319556164	0.4427360887672	0.2213680443836
48	0.74245016727851	0.51509966544298	0.25754983272149
49	0.76063929383337	0.478721412333259	0.239360706166629
50	0.739593584895658	0.520812830208684	0.260406415104342
51	0.726897850092146	0.546204299815708	0.273102149907854
52	0.685743830959608	0.628512338080784	0.314256169040392
53	0.70175896645	0.596482067100001	0.29824103355
54	0.689419431343585	0.621161137312831	0.310580568656415
55	0.667592147998562	0.664815704002875	0.332407852001438
56	0.625781358318962	0.748437283362076	0.374218641681038
57	0.600132964538999	0.799734070922002	0.399867035461001
58	0.568992016960404	0.862015966079193	0.431007983039596
59	0.579487361283021	0.841025277433958	0.420512638716979
60	0.578543401231981	0.842913197536038	0.421456598768019
61	0.724340992497792	0.551318015004415	0.275659007502208
62	0.712457051115191	0.575085897769618	0.287542948884809
63	0.77167369452516	0.45665261094968	0.22832630547484
64	0.741816666223796	0.516366667552409	0.258183333776204
65	0.730557401402292	0.538885197195416	0.269442598597708
66	0.836574176471485	0.32685164705703	0.163425823528515
67	0.850453305873163	0.299093388253674	0.149546694126837
68	0.849890225230186	0.300219549539629	0.150109774769814
69	0.834510794925175	0.33097841014965	0.165489205074825
70	0.811980640220338	0.376038719559324	0.188019359779662
71	0.779999004813629	0.440001990372743	0.220000995186371
72	0.807827314777569	0.384345370444862	0.192172685222431
73	0.776426423407655	0.44714715318469	0.223573576592345
74	0.748599331013235	0.50280133797353	0.251400668986765
75	0.738552015551037	0.522895968897926	0.261447984448963
76	0.751624966288154	0.496750067423692	0.248375033711846
77	0.77710289900116	0.44579420199768	0.22289710099884
78	0.749664976324485	0.500670047351031	0.250335023675515
79	0.71523704048186	0.56952591903628	0.28476295951814
80	0.676360107360827	0.647279785278347	0.323639892639173
81	0.636066500546648	0.727866998906705	0.363933499453352
82	0.775238307601255	0.449523384797491	0.224761692398745
83	0.748838272407153	0.502323455185694	0.251161727592847
84	0.743980296106126	0.512039407787748	0.256019703893874
85	0.710438584486074	0.579122831027852	0.289561415513926
86	0.6731874905195	0.653625018961	0.3268125094805
87	0.63742740097906	0.72514519804188	0.36257259902094
88	0.595684502468829	0.808630995062343	0.404315497531171
89	0.556569436352223	0.886861127295555	0.443430563647777
90	0.854590425555634	0.290819148888732	0.145409574444366
91	0.87475609335211	0.25048781329578	0.12524390664789
92	0.852750737205306	0.294498525589387	0.147249262794694
93	0.827530328526493	0.344939342947013	0.172469671473507
94	0.799269873654509	0.401460252690982	0.200730126345491
95	0.78361933342709	0.432761333145818	0.216380666572909
96	0.76191195380964	0.476176092380719	0.238088046190359
97	0.746464131913688	0.507071736172623	0.253535868086312
98	0.709352089082352	0.581295821835297	0.290647910917648
99	0.71552744125121	0.568945117497579	0.28447255874879
100	0.677524946624634	0.644950106750732	0.322475053375366
101	0.702386511485298	0.595226977029403	0.297613488514702
102	0.696104794245691	0.607790411508617	0.303895205754309
103	0.66255688949691	0.674886221006179	0.33744311050309
104	0.674845366993861	0.650309266012279	0.325154633006139
105	0.63511662297132	0.72976675405736	0.36488337702868
106	0.7683173621349	0.463365275730199	0.231682637865099
107	0.755044787504511	0.489910424990978	0.244955212495489
108	0.723805052355534	0.552389895288931	0.276194947644466
109	0.741461344241357	0.517077311517285	0.258538655758643
110	0.750160540130657	0.499678919738686	0.249839459869343
111	0.709846201226426	0.580307597547148	0.290153798773574
112	0.75088380755492	0.49823238489016	0.24911619244508
113	0.745072316957837	0.509855366084326	0.254927683042163
114	0.761962901272007	0.476074197455986	0.238037098727993
115	0.832309543445072	0.335380913109857	0.167690456554928
116	0.800951487574114	0.398097024851772	0.199048512425886
117	0.782150764602076	0.435698470795847	0.217849235397924
118	0.743380871350732	0.513238257298537	0.256619128649268
119	0.700094715146665	0.59981056970667	0.299905284853335
120	0.67633309439846	0.647333811203078	0.323666905601539
121	0.630523613887649	0.738952772224702	0.369476386112351
122	0.583322177161178	0.833355645677644	0.416677822838822
123	0.536177508154108	0.927644983691783	0.463822491845892
124	0.48675408899915	0.9735081779983	0.51324591100085
125	0.446380462831838	0.892760925663677	0.553619537168162
126	0.413850853023665	0.82770170604733	0.586149146976335
127	0.379025625408081	0.758051250816161	0.62097437459192
128	0.4145800969539	0.829160193907799	0.5854199030461
129	0.562013961082636	0.875972077834728	0.437986038917364
130	0.526785210600139	0.946429578799722	0.473214789399861
131	0.471569222193966	0.943138444387932	0.528430777806034
132	0.616587342385735	0.766825315228529	0.383412657614265
133	0.565232017276345	0.86953596544731	0.434767982723655
134	0.55221141571494	0.895577168570119	0.44778858428506
135	0.510270435330155	0.97945912933969	0.489729564669845
136	0.472218874477144	0.944437748954289	0.527781125522856
137	0.425583749554602	0.851167499109204	0.574416250445398
138	0.374820552427117	0.749641104854234	0.625179447572883
139	0.335536116896599	0.671072233793199	0.6644638831034
140	0.319429204357617	0.638858408715233	0.680570795642383
141	0.261319042699012	0.522638085398025	0.738680957300988
142	0.316831463696019	0.633662927392037	0.683168536303981
143	0.276162212272611	0.552324424545222	0.723837787727389
144	0.223452412379627	0.446904824759255	0.776547587620373
145	0.183689905459166	0.367379810918331	0.816310094540834
146	0.144838831054392	0.289677662108783	0.855161168945608
147	0.161156322267056	0.322312644534112	0.838843677732944
148	0.121218862752088	0.242437725504176	0.878781137247912
149	0.090593072667454	0.181186145334908	0.909406927332546
150	0.201929083429282	0.403858166858564	0.798070916570718
151	0.175615069589522	0.351230139179045	0.824384930410478
152	0.12382738987425	0.247654779748501	0.87617261012575
153	0.125329903291922	0.250659806583843	0.874670096708078
154	0.0836402163500046	0.167280432700009	0.916359783649995
155	0.281910930689123	0.563821861378245	0.718089069310877
156	0.352777173867019	0.705554347734039	0.64722282613298

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	0	0	OK