Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 7.35959823099505 -0.0312731524219015Popularity[t] + 0.125401376884334FindingFriends[t] + 0.0641716190319723KnowingPeople[t] + 0.0499017519535321Liked[t] + 0.0373567347735441Celebrity[t] -0.220050387130058WeightedSum[t] + 0.0785349987054337BelongingtoSports[t] -0.043444033219829ParentalCriticism[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)	7.35959823099505	2.118078	3.4747	0.000687	0.000343
Popularity	-0.0312731524219015	0.090652	-0.345	0.730642	0.365321
FindingFriends	0.125401376884334	0.105545	1.1881	0.23685	0.118425
KnowingPeople	0.0641716190319723	0.074493	0.8614	0.390509	0.195254
Liked	0.0499017519535321	0.10854	0.4598	0.646427	0.323213
Celebrity	0.0373567347735441	0.187595	0.1991	0.842455	0.421227
WeightedSum	-0.220050387130058	0.064136	-3.431	0.000797	0.000398
BelongingtoSports	0.0785349987054337	0.018313	4.2884	3.4e-05	1.7e-05
ParentalCriticism	-0.043444033219829	0.075098	-0.5785	0.563883	0.281942

Multiple Linear Regression - Regression Statistics
Multiple R	0.432247937595427
R-squared	0.186838279555500
Adjusted R-squared	0.139005237176411
F-TEST (value)	3.90605050949429
F-TEST (DF numerator)	8
F-TEST (DF denominator)	136
p-value	0.000352998523401538
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.20429805773299
Sum Squared Residuals	660.814470116257

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	12.6306477276902	1.36935227230984
2	18	15.6712108540218	2.3287891459782
3	11	14.5556800644922	-3.55568006449215
4	12	13.7123907102809	-1.71239071028086
5	16	13.5092945183624	2.49070548163755
6	18	14.4863078365733	3.51369216342671
7	14	13.593500906068	0.40649909393199
8	14	14.0600577765307	-0.0600577765306574
9	15	14.4917855282547	0.508214471745308
10	15	14.9150233754408	0.0849766245591556
11	17	15.2858917303716	1.71410826962837
12	19	13.0900448050298	5.90995519497021
13	10	13.2323758582539	-3.23237585825389
14	18	15.1970552390961	2.80294476090392
15	14	13.1381785314919	0.861821468508111
16	14	13.9917715501709	0.00822844982914775
17	17	16.0422593959187	0.957740604081346
18	14	13.8105358264869	0.189464173513147
19	16	13.9357890858978	2.06421091410224
20	18	13.9300681573623	4.06993184263772
21	14	13.7262746121695	0.273725387830465
22	12	12.6831359311601	-0.683135931160116
23	17	14.7696952441234	2.23030475587655
24	9	14.5189375158183	-5.51893751581828
25	16	14.3670868941374	1.63291310586262
26	14	14.0911456400813	-0.0911456400813096
27	11	14.5753523941706	-3.57535239417055
28	16	14.4616078941063	1.53839210589365
29	13	12.3850701065901	0.614929893409949
30	17	14.8303095701542	2.16969042984582
31	15	13.9098152243360	1.09018477566396
32	14	14.1020271080927	-0.102027108092653
33	16	13.9116430423609	2.08835695763911
34	9	13.0903109311337	-4.09031093113373
35	15	14.5583334197998	0.44166658020015
36	17	13.1606728968035	3.83932710319648
37	13	14.3545127631015	-1.35451276310150
38	15	14.3031909582799	0.696809041720058
39	16	14.1877252100837	1.81227478991631
40	16	13.5298402668616	2.47015973313835
41	12	13.215864856373	-1.21586485637300
42	11	13.2948129565828	-2.29481295658285
43	15	15.2925161847293	-0.292516184729268
44	17	14.1255393167085	2.87446068329151
45	13	13.5801242962764	-0.580124296276409
46	16	14.0635740074675	1.93642599253252
47	14	12.1677691978031	1.83223080219689
48	11	13.0135840392906	-2.01358403929058
49	12	13.2179470675665	-1.21794706756645
50	12	12.1337486814449	-0.133748681444940
51	15	14.8384437828057	0.161556217194319
52	16	14.7310083688659	1.26899163113415
53	15	14.1792164389136	0.820783561086443
54	12	14.6824299755909	-2.68242997559088
55	12	13.4472633566066	-1.44726335660660
56	8	13.1637759141025	-5.16377591410246
57	13	15.6359178491568	-2.63591784915680
58	11	12.4976831330759	-1.49768313307586
59	14	13.8428325827167	0.157167417283339
60	15	13.4768701991264	1.52312980087361
61	10	15.0015334687176	-5.00153346871761
62	11	13.5281970684520	-2.52819706845204
63	12	14.6511036793256	-2.65110367932557
64	15	12.7173438318843	2.28265616811568
65	15	14.170127471217	0.829872528783
66	14	15.2229102072091	-1.22291020720913
67	16	13.1157502273080	2.88424977269197
68	15	16.3805412291863	-1.38054122918627
69	15	15.1149056444681	-0.114905644468148
70	13	14.4493269759958	-1.44932697599577
71	17	15.2133356817351	1.78666431826486
72	13	13.6736123056363	-0.673612305636337
73	15	13.6719222370981	1.32807776290185
74	13	12.7955242059414	0.204475794058628
75	15	13.3658722428453	1.63412775715468
76	16	11.3244608371187	4.67553916288129
77	15	13.4835531775784	1.51644682242161
78	16	13.5377503495359	2.46224965046407
79	15	13.3303393629675	1.66966063703248
80	14	13.8033463859710	0.19665361402898
81	15	13.7250302175393	1.27496978246073
82	7	14.1976137481222	-7.19761374812221
83	17	14.3418239380411	2.6581760619589
84	13	12.9612992942113	0.0387007057887043
85	15	14.4767099997257	0.523290000274294
86	14	15.5170480641489	-1.51704806414889
87	13	14.4464043795154	-1.44640437951538
88	16	15.0908668632488	0.909133136751205
89	12	13.5123923112252	-1.51239231122517
90	14	14.0184543050635	-0.0184543050635022
91	17	14.7134506619271	2.28654933807286
92	15	14.2429214338353	0.75707856616466
93	17	15.1939180135887	1.80608198641128
94	12	14.5707264754630	-2.57072647546302
95	16	14.9321417944473	1.06785820555272
96	11	13.3548781289606	-2.35487812896058
97	15	14.5916024696945	0.408397530305549
98	9	13.2045493226285	-4.20454932262847
99	16	14.5314703199834	1.46852968001657
100	10	12.1996838587030	-2.19968385870295
101	10	11.6404511988986	-1.64045119889855
102	15	15.1155685243875	-0.11556852438751
103	11	12.5692849764924	-1.56928497649244
104	13	15.3163729002433	-2.3163729002433
105	14	13.4377422383947	0.562257761605252
106	18	14.0648065687236	3.93519343127644
107	16	15.1994141847324	0.80058581526756
108	14	12.4587578251036	1.54124217489639
109	14	14.0538509401887	-0.053850940188737
110	14	14.5339876395488	-0.533987639548811
111	14	15.6563292165257	-1.65632921652571
112	12	12.3230772073644	-0.323077207364429
113	14	14.6040619296622	-0.60406192966222
114	15	16.4688541909947	-1.46885419099471
115	15	14.0425625759276	0.957437424072445
116	13	14.9055139128044	-1.90551391280445
117	17	16.3043184006375	0.695681599362526
118	17	15.9623881653838	1.03761183461622
119	19	16.1555505134566	2.84444948654337
120	15	14.0874554188901	0.91254458110993
121	13	13.6902410989869	-0.690241098986853
122	9	12.8002569554608	-3.80025695546077
123	15	14.6860055346038	0.313994465396165
124	15	13.9964621109498	1.00353788905025
125	16	15.8084484348203	0.191551565179657
126	11	12.3320729711756	-1.33207297117563
127	14	13.9530121789983	0.046987821001694
128	11	12.2086825899907	-1.20868258999070
129	15	13.5635798824317	1.43642011756828
130	13	14.0662310454359	-1.06623104543591
131	16	13.9845490291049	2.01545097089508
132	14	14.8209861057312	-0.820986105731151
133	15	14.6093128092856	0.390687190714361
134	16	16.0856483530275	-0.0856483530275327
135	16	14.8132095976584	1.18679040234155
136	11	13.9799157282784	-2.97991572827842
137	13	15.0929140244885	-2.09291402448847
138	16	14.3670868941374	1.63291310586262
139	12	15.4450075085444	-3.4450075085444
140	9	13.3108996936204	-4.31089969362043
141	13	14.1870981451331	-1.18709814513312
142	13	12.9612992942113	0.0387007057887043
143	14	13.2868303320654	0.713169667934567
144	19	16.1555505134566	2.84444948654337
145	13	15.1224291434151	-2.12242914341513

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.902254625636545	0.19549074872691	0.097745374363455
13	0.829710707006944	0.340578585986111	0.170289292993056
14	0.761563568937873	0.476872862124254	0.238436431062127
15	0.671388381096139	0.657223237807723	0.328611618903861
16	0.593801669251122	0.812396661497756	0.406198330748878
17	0.488507942223145	0.977015884446289	0.511492057776855
18	0.597000033812908	0.805999932374185	0.402999966187092
19	0.518305726563826	0.963388546872347	0.481694273436174
20	0.496275243047289	0.992550486094579	0.503724756952711
21	0.425754556558919	0.851509113117838	0.574245443441081
22	0.385710954598167	0.771421909196333	0.614289045401833
23	0.324298322058728	0.648596644117456	0.675701677941272
24	0.574428041453988	0.851143917092023	0.425571958546012
25	0.611818091579303	0.776363816841395	0.388181908420697
26	0.601894371522166	0.796211256955668	0.398105628477834
27	0.693698248029931	0.612603503940138	0.306301751970069
28	0.636126315638223	0.727747368723554	0.363873684361777
29	0.569656886130811	0.860686227738377	0.430343113869189
30	0.56837220533284	0.86325558933432	0.43162779466716
31	0.537625598457733	0.924748803084535	0.462374401542267
32	0.474704454463118	0.949408908926235	0.525295545536882
33	0.458390259689095	0.916780519378191	0.541609740310905
34	0.72397749478046	0.55204501043908	0.27602250521954
35	0.672834802360713	0.654330395278573	0.327165197639287
36	0.771546604811608	0.456906790376784	0.228453395188392
37	0.729808394462186	0.540383211075628	0.270191605537814
38	0.688264664448475	0.62347067110305	0.311735335551525
39	0.653039991309791	0.693920017380418	0.346960008690209
40	0.762571293122957	0.474857413754086	0.237428706877043
41	0.721007907135754	0.557984185728492	0.278992092864246
42	0.779176524357817	0.441646951284365	0.220823475642183
43	0.73549509609132	0.529009807817359	0.264504903908679
44	0.757632165105627	0.484735669788745	0.242367834894373
45	0.71430375332109	0.571392493357822	0.285696246678911
46	0.686332773168292	0.627334453663415	0.313667226831708
47	0.68503371766299	0.629932564674021	0.314966282337011
48	0.685031141966102	0.629937716067796	0.314968858033898
49	0.643980818914443	0.712038362171114	0.356019181085557
50	0.602110299708202	0.795779400583596	0.397889700291798
51	0.550139305360479	0.899721389279042	0.449860694639521
52	0.509232595900422	0.981534808199156	0.490767404099578
53	0.461807058304095	0.92361411660819	0.538192941695905
54	0.518505058417418	0.962989883165164	0.481494941582582
55	0.477640823987335	0.95528164797467	0.522359176012665
56	0.724616848083646	0.550766303832707	0.275383151916354
57	0.822535950365763	0.354928099268475	0.177464049634237
58	0.801919251275956	0.396161497448088	0.198080748724044
59	0.765388481999536	0.469223036000929	0.234611518000464
60	0.760916829123733	0.478166341752534	0.239083170876267
61	0.923841810320448	0.152316379359105	0.0761581896795523
62	0.92667654442727	0.146646911145461	0.0733234555727303
63	0.935238071891427	0.129523856217146	0.0647619281085728
64	0.935389864187282	0.129220271625435	0.0646101358127176
65	0.920315070494282	0.159369859011436	0.0796849295057181
66	0.905505396059244	0.188989207881513	0.0944946039407564
67	0.921141917096832	0.157716165806335	0.0788580829031677
68	0.909195139076365	0.181609721847270	0.0908048609236348
69	0.88694665212673	0.226106695746539	0.113053347873269
70	0.872237017158566	0.255525965682867	0.127762982841434
71	0.865337721023961	0.269324557952078	0.134662278976039
72	0.838935809693269	0.322128380613463	0.161064190306731
73	0.819658310445945	0.360683379108111	0.180341689554055
74	0.78506618274364	0.429867634512721	0.214933817256360
75	0.77067066008665	0.458658679826701	0.229329339913351
76	0.893997594918527	0.212004810162946	0.106002405081473
77	0.885749023187944	0.228501953624112	0.114250976812056
78	0.887804819943333	0.224390360113334	0.112195180056667
79	0.88311730534255	0.2337653893149	0.11688269465745
80	0.858605917677976	0.282788164644048	0.141394082322024
81	0.843790707587463	0.312418584825075	0.156209292412537
82	0.989441476157166	0.0211170476856684	0.0105585238428342
83	0.991059534512626	0.0178809309747478	0.0089404654873739
84	0.987833256766388	0.0243334864672234	0.0121667432336117
85	0.98381130681574	0.0323773863685215	0.0161886931842607
86	0.980887433078495	0.0382251338430094	0.0191125669215047
87	0.97660219127703	0.046795617445941	0.0233978087229705
88	0.970824676899613	0.0583506462007731	0.0291753231003866
89	0.96490068222648	0.0701986355470389	0.0350993177735195
90	0.953495296906316	0.0930094061873684	0.0465047030936842
91	0.962590980326117	0.0748180393477666	0.0374090196738833
92	0.95342074407335	0.0931585118533004	0.0465792559266502
93	0.951902481028253	0.0961950379434938	0.0480975189717469
94	0.957388520496344	0.0852229590073119	0.0426114795036559
95	0.955776117764062	0.0884477644718765	0.0442238822359383
96	0.952445556317433	0.095108887365134	0.047554443682567
97	0.939084307545245	0.121831384909511	0.0609156924547554
98	0.965061870518302	0.0698762589633965	0.0349381294816982
99	0.958051737745272	0.0838965245094558	0.0419482622547279
100	0.951464179260288	0.097071641479423	0.0485358207397115
101	0.939834342625024	0.120331314749951	0.0601656573749757
102	0.920451369739505	0.159097260520991	0.0795486302604953
103	0.905838976771938	0.188322046456123	0.0941610232280616
104	0.918697531651537	0.162604936696927	0.0813024683484635
105	0.895435396681718	0.209129206636564	0.104564603318282
106	0.952660231099157	0.0946795378016851	0.0473397689008426
107	0.94317940222377	0.11364119555246	0.05682059777623
108	0.954685134779126	0.090629730441749	0.0453148652208745
109	0.937159514770156	0.125680970459687	0.0628404852298436
110	0.91966832243393	0.160663355132141	0.0803316775660707
111	0.898691672529645	0.202616654940711	0.101308327470356
112	0.865882680344878	0.268234639310245	0.134117319655122
113	0.837757303578697	0.324485392842607	0.162242696421303
114	0.819454960089583	0.361090079820834	0.180545039910417
115	0.794306744383695	0.411386511232609	0.205693255616305
116	0.77292920184099	0.454141596318022	0.227070798159011
117	0.72614782275737	0.547704354485259	0.273852177242630
118	0.673093020315873	0.653813959368254	0.326906979684127
119	0.670052480339441	0.659895039321119	0.329947519660559
120	0.638298204379347	0.723403591241306	0.361701795620653
121	0.56364441766825	0.872711164663499	0.436355582331749
122	0.600165491183795	0.799669017632409	0.399834508816204
123	0.518115892770891	0.963768214458217	0.481884107229109
124	0.454808988729314	0.909617977458627	0.545191011270686
125	0.373553601769184	0.747107203538368	0.626446398230816
126	0.297158771015386	0.594317542030772	0.702841228984614
127	0.290537249894724	0.581074499789447	0.709462750105276
128	0.213060857333020	0.426121714666039	0.78693914266698
129	0.239243363673153	0.478486727346306	0.760756636326847
130	0.171584672081938	0.343169344163875	0.828415327918062
131	0.190942777290352	0.381885554580704	0.809057222709648
132	0.222328777773038	0.444657555546076	0.777671222226962
133	0.125795673134787	0.251591346269573	0.874204326865213

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	6	0.0491803278688525	OK
10% type I error level	20	0.163934426229508	NOK