Multiple Linear Regression - Estimated Regression Equation

happiness[t] = + 16.8047526382411 + 0.312091001977892luck[t] -0.357308069520522depression[t] + 0.0686057180561021belonging[t] -0.0592332381375093belonging_final[t] -0.352905082725952popularity[t] -0.0280289123784063friends[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)	16.8047526382411	1.616899	10.3932	0	0
luck	0.312091001977892	0.182079	1.714	0.088688	0.044344
depression	-0.357308069520522	0.053825	-6.6383	0	0
belonging	0.0686057180561021	0.047696	1.4384	0.152509	0.076255
belonging_final	-0.0592332381375093	0.068828	-0.8606	0.390903	0.195452
popularity	-0.352905082725952	0.263224	-1.3407	0.182143	0.091072
friends	-0.0280289123784063	0.232349	-0.1206	0.904151	0.452076

Multiple Linear Regression - Regression Statistics
Multiple R	0.581195686546521
R-squared	0.337788426060282
Adjusted R-squared	0.310003325055818
F-TEST (value)	12.1571782663671
F-TEST (DF numerator)	6
F-TEST (DF denominator)	143
p-value	5.10060882419339e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.93458580398152
Sum Squared Residuals	535.194979314254

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	13.4269842572330	0.573015742767027
2	18	15.8591225039257	2.14087749607433
3	11	12.6309760764416	-1.63097607644163
4	12	14.1664561687585	-2.16645616875852
5	16	11.6120887292475	4.3879112707525
6	18	14.5657196385506	3.43428036144941
7	14	9.84179946093952	4.15820053906048
8	14	15.0106156610348	-1.01061566103476
9	15	15.1243793816422	-0.124379381642241
10	15	13.7310802185616	1.26891978143843
11	17	15.2304750193727	1.76952498062729
12	19	15.1776800172114	3.82231998278865
13	10	13.0072698096810	-3.00726980968104
14	16	13.4147655951926	2.58523440480742
15	18	15.258325721672	2.74167427832799
16	14	13.1305547579001	0.869445242099893
17	14	14.7688688206764	-0.768868820676399
18	17	15.1664233092912	1.83357669070884
19	14	15.0561891487356	-1.05618914873562
20	16	14.1811250995732	1.81887490042676
21	18	15.9252048790531	2.07479512094691
22	11	13.0026261190048	-2.00262611900476
23	14	13.7764766515077	0.223523348492326
24	12	12.9341100836504	-0.934110083650394
25	17	15.1757072618324	1.82429273816762
26	9	15.7468263708459	-6.74682637084595
27	16	15.063563305257	0.936436694742997
28	14	13.3661346838745	0.633865316125474
29	15	13.9415410634062	1.05845893659384
30	11	13.2505143897211	-2.25051438972111
31	16	16.2525418985267	-0.252541898526714
32	13	12.9886145325456	0.0113854674544035
33	17	14.6969087893927	2.30309121060734
34	15	14.6079383474673	0.392061652532734
35	14	14.6110888825976	-0.611088882597563
36	16	15.6643826922741	0.335617307725919
37	9	10.9584106909421	-1.95841069094209
38	15	14.0383504751084	0.961649524891574
39	17	15.4864196692164	1.51358033078358
40	13	14.5781165106699	-1.5781165106699
41	15	15.4536585387844	-0.453658538784356
42	16	14.1070481493533	1.89295185064675
43	16	15.5994280930638	0.400571906936228
44	12	13.0839296333775	-1.08392963337751
45	12	14.2896514342758	-2.28965143427585
46	11	13.8681440623051	-2.86814406230514
47	15	14.885830559428	0.114169440572010
48	15	15.1573777871447	-0.157377787144671
49	17	14.2213489139041	2.77865108609593
50	13	14.5235860281999	-1.52358602819993
51	16	15.0744300960460	0.925569903954048
52	14	14.2449123456853	-0.244912345685298
53	11	11.6730268299831	-0.673026829983132
54	12	13.1935792438538	-1.19357924385378
55	12	14.2053876423859	-2.20538764238588
56	15	14.7405992044163	0.259400795583724
57	16	14.4053602558066	1.59463974419337
58	15	14.7982131440782	0.201786855921782
59	12	15.6240171280920	-3.62401712809198
60	12	13.1538537257118	-1.15385372571184
61	8	10.9494536961730	-2.94945369617297
62	13	14.2346464016651	-1.23464640166515
63	11	14.2754604824132	-3.27546048241321
64	14	12.3220616431688	1.67793835683121
65	15	13.4191685819872	1.58083141801285
66	10	15.5379257594857	-5.53792575948567
67	11	11.9680147753628	-0.96801477536282
68	12	14.5500615647167	-2.55006156471673
69	15	13.9964870310256	1.00351296897439
70	15	14.2916862179009	0.70831378209911
71	14	14.2276014764028	-0.227601476402849
72	16	12.9605856201672	3.03941437983281
73	15	14.0429044830830	0.957095516917027
74	15	15.1183310627973	-0.118331062797338
75	13	15.7811443059510	-2.78114430595098
76	12	12.0833081117441	-0.0833081117441266
77	17	13.8964987771313	3.10350122286871
78	13	12.3802416236037	0.619758376396347
79	15	14.1117769385956	0.88822306140444
80	13	15.2293348551736	-2.22933485517360
81	15	15.4037717469907	-0.403771746990673
82	16	15.0552855929611	0.94471440703885
83	15	15.9000523009502	-0.900052300950239
84	16	14.8125290835461	1.18747091645393
85	15	14.6566612149741	0.34333878502595
86	14	14.1398058509740	-0.139805850973965
87	15	14.8140858882190	0.185914111780971
88	14	13.9323433647553	0.067656635244675
89	13	12.2955895354633	0.704410464536653
90	7	10.7215402321947	-3.72154023219466
91	17	14.5207693084644	2.47923069153556
92	13	13.3415196152715	-0.341519615271548
93	15	13.8181050940071	1.18189490599288
94	14	13.6809561516975	0.319043848302482
95	13	15.7296382156817	-2.72963821568173
96	16	15.0882680565617	0.91173194343828
97	12	12.8120266752704	-0.812026675270434
98	14	15.6752859432909	-1.67528594329087
99	17	15.0976405364803	1.90235946351969
100	15	14.5373614949131	0.462638505086907
101	17	14.8806568226501	2.11934317734991
102	12	12.2189002493808	-0.218900249380763
103	16	14.7497934742558	1.25020652574424
104	11	14.0838342801075	-3.08383428010754
105	15	13.9669610687333	1.03303893126668
106	9	11.3810003174450	-2.38100031744502
107	16	16.4278994433445	-0.427899443344484
108	15	12.5530603722695	2.44693962773047
109	10	13.3695485276500	-3.36954852764995
110	10	9.47053886995108	0.529461130048915
111	15	14.3191508974368	0.680849102563173
112	11	13.3970722721771	-2.39707227217714
113	13	15.488124066258	-2.48812406625801
114	14	12.5418433663390	1.45815663366102
115	18	14.4004792900600	3.59952070994002
116	16	15.4049391000889	0.595060899911075
117	14	12.9649886069618	1.03501139303824
118	14	14.1773854533501	-0.177385453350076
119	14	15.6284495772727	-1.62844957727267
120	14	13.8151692291838	0.18483077081623
121	12	12.9886145325456	-0.988614532545597
122	14	14.0571873911343	-0.0571873911343368
123	15	15.9968970175560	-0.996897017555977
124	15	16.1826166508680	-1.18261665086802
125	15	14.0054405969834	0.99455940301663
126	13	14.9916334261272	-1.99163342612721
127	17	15.6513296311236	1.34867036887643
128	17	15.4957036217576	1.50429637824236
129	19	15.1263505161403	3.87364948385969
130	15	14.7363449653147	0.263655034685301
131	13	14.0459288752837	-1.04592887528369
132	9	11.2705902202974	-2.27059022029735
133	15	14.9869012080736	0.0130987919264474
134	15	12.7044627602444	2.29553723975563
135	15	13.9695960093593	1.03040399064067
136	16	13.7701269429089	2.2298730570911
137	11	9.79003006202513	1.20996993797487
138	14	13.8520229971859	0.147977002814128
139	11	11.4796950753115	-0.479695075311511
140	15	14.4179944029963	0.582005597003694
141	13	14.3164527732404	-1.31645277324038
142	15	14.1509728761924	0.84902712380758
143	16	14.6219579468735	1.37804205312650
144	14	15.1400999492787	-1.14009994927871
145	15	14.2442561566541	0.755743843345896
146	16	15.2038247015882	0.796175298411842
147	16	14.8094421975427	1.19055780245726
148	11	13.4657937065098	-2.46579370650975
149	12	14.4363238776840	-2.43632387768402
150	9	11.7119248066375	-2.71192480663747

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.707926570703774	0.584146858592453	0.292073429296226
11	0.791422092954732	0.417155814090535	0.208577907045268
12	0.90455181212991	0.190896375740180	0.0954481878700898
13	0.978821901791424	0.0423561964171521	0.0211780982085761
14	0.965265702576131	0.0694685948477373	0.0347342974238686
15	0.958689006328004	0.082621987343991	0.0413109936719955
16	0.939039095681376	0.121921808637248	0.0609609043186238
17	0.962455515683758	0.0750889686324836	0.0375444843162418
18	0.964697711349097	0.0706045773018065	0.0353022886509033
19	0.961033026520748	0.0779339469585035	0.0389669734792517
20	0.949069735365128	0.101860529269744	0.050930264634872
21	0.954475954793758	0.091048090412483	0.0455240452062415
22	0.957277106564397	0.0854457868712065	0.0427228934356032
23	0.946415550501073	0.107168898997854	0.053584449498927
24	0.934349743397846	0.131300513204308	0.065650256602154
25	0.916740240824711	0.166519518350578	0.083259759175289
26	0.99662577471859	0.00674845056281847	0.00337422528140924
27	0.99570744551143	0.00858510897714174	0.00429255448857087
28	0.993531321932617	0.0129373561347662	0.0064686780673831
29	0.991264775624384	0.0174704487512315	0.00873522437561573
30	0.991033985017616	0.0179320299647673	0.00896601498238367
31	0.98762299726732	0.0247540054653618	0.0123770027326809
32	0.98253753706772	0.0349249258645602	0.0174624629322801
33	0.986490251472523	0.0270194970549536	0.0135097485274768
34	0.980692688264238	0.0386146234715248	0.0193073117357624
35	0.979772948333338	0.0404541033333245	0.0202270516666623
36	0.97373485505819	0.052530289883622	0.026265144941811
37	0.9789695084954	0.0420609830092019	0.0210304915046010
38	0.972087070234764	0.0558258595304728	0.0279129297652364
39	0.968619034263154	0.0627619314736917	0.0313809657368459
40	0.962242363033813	0.0755152739323749	0.0377576369661874
41	0.94994324819125	0.100113503617499	0.0500567518087494
42	0.947948309074729	0.104103381850543	0.0520516909252713
43	0.932449273508244	0.135101452983512	0.067550726491756
44	0.92320828762842	0.153583424743162	0.0767917123715808
45	0.928316009311869	0.143367981376263	0.0716839906881313
46	0.93833689985329	0.123326200293422	0.061663100146711
47	0.92241858281194	0.155162834376120	0.0775814171880598
48	0.90832431126385	0.183351377472301	0.0916756887361503
49	0.915555143634696	0.168889712730608	0.084444856365304
50	0.905437322286731	0.189125355426537	0.0945626777132687
51	0.88662207703862	0.22675584592276	0.11337792296138
52	0.875326433960514	0.249347132078973	0.124673566039486
53	0.849432565123134	0.301134869753732	0.150567434876866
54	0.856827237269673	0.286345525460654	0.143172762730327
55	0.856199176961389	0.287601646077222	0.143800823038611
56	0.827251506998528	0.345496986002944	0.172748493001472
57	0.81006731019831	0.379865379603381	0.189932689801691
58	0.78025115164022	0.439497696719561	0.219748848359781
59	0.87421655738853	0.251566885222941	0.125783442611470
60	0.858354028511547	0.283291942976906	0.141645971488453
61	0.88997624375896	0.220047512482079	0.110023756241040
62	0.873265615422121	0.253468769155758	0.126734384577879
63	0.90961718873141	0.180765622537181	0.0903828112685906
64	0.914011545004525	0.171976909990949	0.0859884549954746
65	0.906661935350621	0.186676129298758	0.093338064649379
66	0.987495284637022	0.0250094307259561	0.0125047153629781
67	0.984364868365097	0.0312702632698052	0.0156351316349026
68	0.987657063427906	0.0246858731441869	0.0123429365720935
69	0.984464406543615	0.0310711869127709	0.0155355934563854
70	0.98068847270715	0.0386230545856990	0.0193115272928495
71	0.974496179462599	0.0510076410748029	0.0255038205374014
72	0.983638976387831	0.0327220472243376	0.0163610236121688
73	0.979609328797364	0.0407813424052731	0.0203906712026366
74	0.973135130417712	0.0537297391645763	0.0268648695822882
75	0.981015488508856	0.0379690229822874	0.0189845114911437
76	0.974605266915566	0.0507894661688684	0.0253947330844342
77	0.984646770495668	0.0307064590086644	0.0153532295043322
78	0.980095570633206	0.0398088587335882	0.0199044293667941
79	0.974755080704555	0.05048983859089	0.025244919295445
80	0.975672785795474	0.048654428409052	0.024327214204526
81	0.968381156164995	0.0632376876700096	0.0316188438350048
82	0.96101432451771	0.0779713509645795	0.0389856754822897
83	0.952321206659246	0.0953575866815087	0.0476787933407543
84	0.943852062603842	0.112295874792317	0.0561479373961585
85	0.928574284650577	0.142851430698846	0.0714257153494229
86	0.910039314380572	0.179921371238855	0.0899606856194277
87	0.889110581373619	0.221778837252762	0.110889418626381
88	0.863687502423536	0.272624995152927	0.136312497576464
89	0.838624788246227	0.322750423507545	0.161375211753773
90	0.907505616393845	0.18498876721231	0.092494383606155
91	0.92503894558785	0.149922108824301	0.0749610544121505
92	0.9068682633522	0.186263473295600	0.0931317366477998
93	0.892164657894782	0.215670684210435	0.107835342105218
94	0.866949354416358	0.266101291167284	0.133050645583642
95	0.891515082811512	0.216969834376976	0.108484917188488
96	0.871265170728441	0.257469658543118	0.128734829271559
97	0.845260680476915	0.309478639046170	0.154739319523085
98	0.83590745026863	0.328185099462739	0.164092549731370
99	0.834777760668084	0.330444478663832	0.165222239331916
100	0.801623654034906	0.396752691930188	0.198376345965094
101	0.807873847893213	0.384252304213573	0.192126152106786
102	0.770392957998626	0.459214084002748	0.229607042001374
103	0.744484260590067	0.511031478819865	0.255515739409933
104	0.812278487581478	0.375443024837045	0.187721512418522
105	0.789812323837931	0.420375352324137	0.210187676162069
106	0.802929279747815	0.39414144050437	0.197070720252185
107	0.766208203508212	0.467583592983576	0.233791796491788
108	0.777499256891151	0.445001486217697	0.222500743108849
109	0.842649469349747	0.314701061300506	0.157350530650253
110	0.81002861492374	0.37994277015252	0.18997138507626
111	0.777335455149941	0.445329089700118	0.222664544850059
112	0.79848549850053	0.403029002998941	0.201514501499470
113	0.83648910608806	0.327021787823880	0.163510893911940
114	0.892727067302901	0.214545865394197	0.107272932697099
115	0.949829384960295	0.100341230079411	0.0501706150397054
116	0.932021434320604	0.135957131358792	0.0679785656793958
117	0.933245094372629	0.133509811254742	0.0667549056273708
118	0.910035295377994	0.179929409244011	0.0899647046220055
119	0.894217329139994	0.211565341720013	0.105782670860007
120	0.859952906302509	0.280094187394982	0.140047093697491
121	0.8205816344487	0.358836731102601	0.179418365551300
122	0.776779372858175	0.446441254283649	0.223220627141825
123	0.748370972136259	0.503258055727482	0.251629027863741
124	0.730476772605416	0.539046454789168	0.269523227394584
125	0.680087831626453	0.639824336747093	0.319912168373547
126	0.67916202737823	0.64167594524354	0.32083797262177
127	0.621888200621245	0.75622359875751	0.378111799378755
128	0.623101623770175	0.75379675245965	0.376898376229825
129	0.703265672736142	0.593468654527717	0.296734327263858
130	0.63020481443214	0.739590371135721	0.369795185567861
131	0.554107485110172	0.891785029779656	0.445892514889828
132	0.581236153274366	0.837527693451268	0.418763846725634
133	0.497423495760365	0.994846991520731	0.502576504239635
134	0.492121878937946	0.984243757875893	0.507878121062054
135	0.459099676346835	0.91819935269367	0.540900323653165
136	0.57210884473893	0.85578231052214	0.42789115526107
137	0.522119901169434	0.955760197661133	0.477880098830566
138	0.393374354718099	0.786748709436198	0.606625645281901
139	0.450020431273969	0.900040862547938	0.549979568726031
140	0.437007520043181	0.874015040086362	0.562992479956819

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	2	0.0152671755725191	NOK
5% type I error level	23	0.175572519083969	NOK
10% type I error level	41	0.312977099236641	NOK