Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 7.38352351231346 -0.0306878871524814Popularity[t] + 0.124924906242383FindingFriends[t] + 0.0643967010784627KnowingPeople[t] + 0.0516317163962406Liked[t] + 0.0364039198046587Celebrity[t] -0.219430414198071WeightedSum[t] + 0.0779073064582762BelongingstoSports[t] -0.043675909023583ParentalCriticism[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)	7.38352351231346	2.122856	3.4781	0.000679	0.000339
Popularity	-0.0306878871524814	0.090767	-0.3381	0.735811	0.367906
FindingFriends	0.124924906242383	0.105656	1.1824	0.239118	0.119559
KnowingPeople	0.0643967010784627	0.074585	0.8634	0.389435	0.194717
Liked	0.0516317163962406	0.108647	0.4752	0.63539	0.317695
Celebrity	0.0364039198046587	0.187794	0.1939	0.846582	0.423291
WeightedSum	-0.219430414198071	0.064196	-3.4181	0.000832	0.000416
BelongingstoSports	0.0779073064582762	0.018334	4.2494	4e-05	2e-05
ParentalCriticism	-0.043675909023583	0.075181	-0.5809	0.562242	0.281121

Multiple Linear Regression - Regression Statistics
Multiple R	0.43021120445241
R-squared	0.185081680436393
Adjusted R-squared	0.137145308697358
F-TEST (value)	3.86098642266822
F-TEST (DF numerator)	8
F-TEST (DF denominator)	136
p-value	0.000398287647880635
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.20667764537581
Sum Squared Residuals	662.241967361779

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	12.6418727589494	1.35812724105058
2	18	15.6624549208704	2.33754507912956
3	11	14.5638410704991	-3.56384107049906
4	12	13.7124897971026	-1.7124897971026
5	16	13.5075850740746	2.49241492592537
6	18	14.4758742468793	3.52412575312067
7	14	13.6003400895599	0.399659910440129
8	14	14.0668465072606	-0.0668465072605611
9	15	14.4870747006189	0.512925299381107
10	15	14.9221162633834	0.0778837366166308
11	17	15.2797765289275	1.72022347107254
12	19	13.0966279811834	5.90337201881662
13	10	13.2407226039100	-3.24072260390995
14	18	15.1896407748227	2.81035922517727
15	14	13.1463671023856	0.853632897614437
16	14	13.9954717725119	0.00452822748806751
17	17	16.0326299160830	0.967370083917037
18	14	13.8090067850197	0.190993214980283
19	16	13.9394667888589	2.06053321114112
20	18	13.9315061474237	4.06849385257634
21	14	13.7339341645022	0.266065835497767
22	12	12.6889538894390	-0.688953889438953
23	17	14.7629052129563	2.23709478704367
24	9	14.5262358356125	-5.52623583561251
25	16	14.3740836774435	1.6259163225565
26	14	14.0982624030230	-0.0982624030230206
27	11	14.5798373060006	-3.57983730600061
28	16	14.4589362449358	1.54106375506424
29	13	12.3915978002484	0.608402199751598
30	17	14.8322985589981	2.16770144100193
31	15	13.9026761521171	1.09732384788292
32	14	14.1079566797044	-0.107956679704424
33	16	13.9138645879267	2.08613541207334
34	9	13.0955833941074	-4.09558339410744
35	15	14.5616196127191	0.438380387280912
36	17	13.1676415495990	3.83235845040098
37	13	14.3656988756362	-1.36569887563615
38	15	14.3093383164212	0.69066168357881
39	16	14.1838514942603	1.81614850573967
40	16	13.5451565832429	2.45484341675712
41	12	13.2228084442785	-1.22280844427852
42	11	13.2908891529060	-2.29088915290596
43	15	15.2941523206412	-0.294152320641214
44	17	14.1314908769484	2.86850912305162
45	13	13.5892743387683	-0.589274338768271
46	16	14.0600986690362	1.93990133096379
47	14	12.1627205844333	1.83727941556672
48	11	13.0261851153936	-2.02618511539361
49	12	13.2281454419373	-1.22814544193733
50	12	12.1357377749987	-0.135737774998725
51	15	14.8404267498202	0.159573250179799
52	16	14.7316322530300	1.26836774696996
53	15	14.1849208754938	0.815079124506167
54	12	14.6835652645832	-2.68356526458321
55	12	13.4488105346455	-1.44881053464549
56	8	13.1737741250945	-5.17377412509448
57	13	15.6193869725584	-2.61938697255839
58	11	12.5084925652862	-1.50849256528621
59	14	13.8529473943886	0.147052605611409
60	15	13.4947477634054	1.50525223659462
61	10	14.9930961614974	-4.99309616149738
62	11	13.5334475815918	-2.53344758159184
63	12	14.6486557476710	-2.64865574767095
64	15	12.7281078693229	2.27189213067711
65	15	14.1759515415642	0.824048458435787
66	14	15.2260399780871	-1.22603997808714
67	16	13.1269640468948	2.87303595310521
68	15	16.3774731632291	-1.37747316322914
69	15	15.1126736514780	-0.112673651477972
70	13	14.4510851047861	-1.45108510478607
71	17	15.2205217681969	1.77947823180306
72	13	13.6782917454314	-0.678291745431385
73	15	13.6720828472715	1.32791715272847
74	13	12.8043252644605	0.195674735539498
75	15	13.3648519260335	1.63514807396651
76	16	11.3453796357938	4.65462036420625
77	15	13.4883133806511	1.51168661934886
78	16	13.5503091255282	2.44969087447176
79	15	13.3372099659899	1.66279003401007
80	14	13.8049745687266	0.195025431273388
81	15	13.7278795523100	1.27212044768997
82	7	14.2011516932741	-7.20115169327412
83	17	14.3457945113471	2.65420548865291
84	13	12.9718541370085	0.0281458629915367
85	15	14.4767908109235	0.523209189076501
86	14	15.5108970724620	-1.51089707246204
87	13	14.4468959527896	-1.44689595278961
88	16	15.0815457196959	0.918454280304128
89	12	13.5241846249042	-1.52418462490415
90	14	14.0206807256333	-0.0206807256332775
91	17	14.7022825071116	2.29771749288844
92	15	14.2417240942902	0.75827590570977
93	17	15.1953274561276	1.80467254387239
94	12	14.5734813667562	-2.57348136675622
95	16	14.9246841101408	1.07531588985916
96	11	13.3539358314833	-2.35393583148329
97	15	14.5936551927514	0.406344807248591
98	9	13.2078618627222	-4.20786186272216
99	16	14.5384334302640	1.46156656973596
100	10	12.1959425992658	-2.19594259926578
101	10	11.6505048974942	-1.65050489749419
102	15	15.1108710025288	-0.110871002528760
103	11	12.5795127995144	-1.57951279951440
104	13	15.3136167812651	-2.31361678126507
105	14	13.4680477979647	0.531952202035266
106	18	14.0679755919000	3.93202440809997
107	16	15.1967126836860	0.803287316313983
108	14	12.4737259842101	1.52627401578986
109	14	14.0598945580578	-0.0598945580578271
110	14	14.5379801403468	-0.537980140346823
111	14	15.6481941562716	-1.64819415627158
112	12	12.3426843400582	-0.342684340058196
113	14	14.6015356153116	-0.601535615311623
114	15	16.4542919939085	-1.45429199390852
115	15	14.0484281898810	0.95157181011898
116	13	14.9027110257695	-1.90271102576954
117	17	16.2950012674112	0.704998732588756
118	17	15.9603911313664	1.03960886863360
119	19	16.1518461981643	2.84815380183573
120	15	14.0909683633460	0.909031636654031
121	13	13.6983755172766	-0.69837551727663
122	9	12.8055899227852	-3.80558992278518
123	15	14.6867823088157	0.313217691184339
124	15	14.0028002584974	0.9971997415026
125	16	15.8009275248001	0.199072475199885
126	11	12.3365984537789	-1.33659845377890
127	14	13.9576183192891	0.0423816807109123
128	11	12.2235941214277	-1.22359412142766
129	15	13.5480024880108	1.45199751198918
130	13	14.0736011399322	-1.07360113993219
131	16	13.9807755018049	2.01922449819509
132	14	14.8176936887082	-0.817693688708184
133	15	14.6118338743310	0.388166125669049
134	16	16.0724565893001	-0.0724565893000994
135	16	14.8201500779705	1.17984992202946
136	11	13.9907097355359	-2.99070973553592
137	13	15.0832724407808	-2.08327244078082
138	16	13.9845471451521	2.01545285484788
139	12	15.4463265938884	-3.44632659388842
140	9	13.3114956522893	-4.31149565228926
141	13	14.1920413827861	-1.19204138278615
142	13	12.9718541370085	0.0281458629915367
143	14	13.2969621543207	0.703037845679265
144	19	16.1518461981643	2.84815380183573
145	13	15.1221405425566	-2.12214054255660

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.901654651774051	0.196690696451898	0.098345348225949
13	0.828810511834358	0.342378976331283	0.171189488165641
14	0.760427150181157	0.479145699637686	0.239572849818843
15	0.66998853426313	0.660022931473738	0.330011465736869
16	0.592238801368268	0.815522397263463	0.407761198631732
17	0.486885388840576	0.973770777681152	0.513114611159424
18	0.595262382177417	0.809475235645167	0.404737617822583
19	0.516429432571008	0.967141134857983	0.483570567428992
20	0.494203262011634	0.988406524023268	0.505796737988366
21	0.423656533298451	0.847313066596902	0.576343466701549
22	0.383622023435556	0.767244046871112	0.616377976564444
23	0.322344217415824	0.644688434831649	0.677655782584176
24	0.572049385552454	0.855901228895091	0.427950614447546
25	0.609350727878322	0.781298544243356	0.390649272121678
26	0.599365090860738	0.801269818278525	0.400634909139262
27	0.691307907199117	0.617384185601766	0.308692092800883
28	0.633561549721388	0.732876900557223	0.366438450278612
29	0.566931029597617	0.866137940804767	0.433068970402383
30	0.565528045752209	0.868943908495583	0.434471954247791
31	0.534760777244904	0.930478445510192	0.465239222755096
32	0.471822812803087	0.943645625606174	0.528177187196913
33	0.455411514231153	0.910823028462306	0.544588485768847
34	0.721298650992908	0.557402698014183	0.278701349007092
35	0.669909375259209	0.660181249481581	0.330090624740791
36	0.768835227523283	0.462329544953433	0.231164772476717
37	0.726911339132638	0.546177321734724	0.273088660867362
38	0.68512777677424	0.629744446451519	0.314872223225759
39	0.649765017853758	0.700469964292483	0.350234982146242
40	0.759508714143287	0.480982571713426	0.240491285856713
41	0.717696936465644	0.564606127068713	0.282303063534356
42	0.776129838117336	0.447740323765329	0.223870161882664
43	0.732130754696527	0.535738490606946	0.267869245303473
44	0.754177305762017	0.491645388475966	0.245822694237983
45	0.710579179165887	0.578841641668225	0.289420820834113
46	0.682425946011111	0.635148107977777	0.317574053988889
47	0.681119161879344	0.637761676241312	0.318880838120656
48	0.68127775553235	0.6374444889353	0.31872224446765
49	0.640131481941107	0.719737036117786	0.359868518058893
50	0.59810385068456	0.80379229863088	0.40189614931544
51	0.546015154102703	0.907969691794594	0.453984845897297
52	0.505015842745463	0.989968314509075	0.494984157254537
53	0.457534070930521	0.915068141861042	0.542465929069479
54	0.514139790672002	0.971720418655997	0.485860209327998
55	0.473213908621109	0.946427817242218	0.526786091378891
56	0.721056712640731	0.557886574718538	0.278943287359269
57	0.819532578036419	0.360934843927163	0.180467421963581
58	0.798799820464102	0.402400359071797	0.201200179535898
59	0.761917705955736	0.476164588088529	0.238082294044264
60	0.757168314831256	0.485663370337488	0.242831685168744
61	0.921909077747419	0.156181844505162	0.0780909222525811
62	0.924817097286105	0.150365805427790	0.0751829027138952
63	0.933501487501404	0.132997024997193	0.0664985124985964
64	0.933495754349273	0.133008491301454	0.066504245650727
65	0.918040751621932	0.163918496756137	0.0819592483780685
66	0.902939510937378	0.194120978125243	0.0970604890626215
67	0.918601296422214	0.162797407155572	0.081398703577786
68	0.90630400720611	0.187391985587780	0.0936959927938902
69	0.883556372972162	0.232887254055676	0.116443627027838
70	0.868543850223081	0.262912299553837	0.131456149776919
71	0.861407946478493	0.277184107043014	0.138592053521507
72	0.83452550864287	0.330948982714260	0.165474491357130
73	0.814863745538286	0.370272508923428	0.185136254461714
74	0.779707641965923	0.440584716068155	0.220292358034077
75	0.765102613106272	0.469794773787456	0.234897386893728
76	0.8889038606294	0.222192278741199	0.111096139370599
77	0.880157778140683	0.239684443718634	0.119842221859317
78	0.881763466248681	0.236473067502639	0.118236533751319
79	0.876534249625804	0.246931500748392	0.123465750374196
80	0.851057106748152	0.297885786503695	0.148942893251848
81	0.83545052553832	0.329098948923359	0.164549474461680
82	0.98831650260844	0.0233669947831203	0.0116834973915602
83	0.990002450666565	0.0199950986668698	0.0099975493334349
84	0.986415345235233	0.027169309529534	0.013584654764767
85	0.981983981724418	0.0360320365511649	0.0180160182755825
86	0.97872688808556	0.042546223828878	0.021273111914439
87	0.97402190269796	0.0519561946040792	0.0259780973020396
88	0.96777845875108	0.064443082497839	0.0322215412489195
89	0.961480832751286	0.0770383344974287	0.0385191672487143
90	0.949193579133	0.101612841734000	0.0508064208669998
91	0.959118844524756	0.0817623109504875	0.0408811554752438
92	0.94927192419118	0.101456151617641	0.0507280758088206
93	0.947482866126038	0.105034267747923	0.0525171338739616
94	0.953344356467895	0.0933112870642091	0.0466556435321046
95	0.951720148638386	0.0965597027232287	0.0482798513616144
96	0.948124818745186	0.103750362509628	0.0518751812548138
97	0.933806897743124	0.132386204513753	0.0661931022568764
98	0.961601663494386	0.0767966730112275	0.0383983365056138
99	0.95390003671755	0.0921999265648985	0.0460999632824493
100	0.946694413069814	0.106611173860371	0.0533055869301855
101	0.934225637530283	0.131548724939435	0.0657743624697175
102	0.913497099766153	0.173005800467695	0.0865029002338474
103	0.89835659556305	0.203286808873900	0.101643404436950
104	0.911618239180948	0.176763521638105	0.0883817608190525
105	0.886314721863589	0.227370556272822	0.113685278136411
106	0.94655279392004	0.10689441215992	0.05344720607996
107	0.9360137136936	0.127972572612800	0.0639862863064002
108	0.946728716010723	0.106542567978555	0.0532712839892774
109	0.926865521364167	0.146268957271667	0.0731344786358333
110	0.906718579747939	0.186562840504122	0.093281420252061
111	0.883400138874681	0.233199722250637	0.116599861125319
112	0.847359129279553	0.305281741440894	0.152640870720447
113	0.817489673268472	0.365020653463057	0.182510326731528
114	0.795393869517613	0.409212260964774	0.204606130482387
115	0.766318044852914	0.467363910294172	0.233681955147086
116	0.741757239004153	0.516485521991694	0.258242760995847
117	0.69033624211701	0.619327515765981	0.309663757882990
118	0.633999679915641	0.732000640168718	0.366000320084359
119	0.630583761670461	0.738832476659077	0.369416238329539
120	0.596264735222457	0.807470529555086	0.403735264777543
121	0.519938204353842	0.960123591292315	0.480061795646158
122	0.559299642107679	0.881400715784642	0.440700357892321
123	0.476836061721124	0.953672123442247	0.523163938278876
124	0.412322203690654	0.824644407381309	0.587677796309346
125	0.335116498199906	0.670232996399812	0.664883501800094
126	0.262163294223429	0.524326588446857	0.737836705776571
127	0.243690389007321	0.487380778014643	0.756309610992679
128	0.175784064071638	0.351568128143276	0.824215935928362
129	0.207741062882757	0.415482125765514	0.792258937117243
130	0.14193530628826	0.28387061257652	0.85806469371174
131	0.165933800314546	0.331867600629092	0.834066199685454
132	0.186744492421788	0.373488984843577	0.813255507578212
133	0.102518934859398	0.205037869718796	0.897481065140602

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	5	0.0409836065573770	OK
10% type I error level	13	0.106557377049180	NOK