Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 15.8129739767573 -0.067519832546916Popularity[t] + 0.0891906979933913KnowPeople[t] + 0.620779773881064Gender[t] -0.14400699076612CMistakes[t] -0.257376073460273DAction[t] + 0.122065094451775PExpectations[t] -0.117312080212603PCriticism[t] + 0.00324282956475924PStandards[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)	15.8129739767573	1.669852	9.4697	0	0
Popularity	-0.067519832546916	0.077834	-0.8675	0.387215	0.193607
KnowPeople	0.0891906979933913	0.06621	1.3471	0.180206	0.090103
Gender	0.620779773881064	0.410795	1.5112	0.133083	0.066542
CMistakes	-0.14400699076612	0.100025	-1.4397	0.152264	0.076132
DAction	-0.257376073460273	0.078485	-3.2793	0.001324	0.000662
PExpectations	0.122065094451775	0.083353	1.4644	0.1454	0.0727
PCriticism	-0.117312080212603	0.088174	-1.3305	0.185607	0.092804
PStandards	0.00324282956475924	0.0525	0.0618	0.950839	0.475419

Multiple Linear Regression - Regression Statistics
Multiple R	0.39521657780064
R-squared	0.156196143368449
Adjusted R-squared	0.106192951864358
F-TEST (value)	3.12372347984363
F-TEST (DF numerator)	8
F-TEST (DF denominator)	135
p-value	0.00285720771111464
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.22343763349311
Sum Squared Residuals	667.396112854517

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	10	12.7568850175974	-2.75688501759745
2	14	13.8445097941729	0.155490205827120
3	18	16.2971529992195	1.70284700078049
4	15	13.7801065880793	1.21989341192066
5	11	14.5464042100412	-3.54640421004119
6	17	14.7986304886694	2.20136951133057
7	19	14.0064185136970	4.99358148630297
8	7	13.4017140860134	-6.40171408601343
9	12	14.6542167957111	-2.65421679571111
10	15	13.9261027043642	1.07389729563578
11	14	14.4462435733843	-0.446243573384301
12	14	13.5313890932133	0.468610906786741
13	16	16.4728827661904	-0.472882766190354
14	12	13.4584491377609	-1.45844913776091
15	12	14.1673677045390	-2.16736770453902
16	13	14.8224419429688	-1.82244194296875
17	9	13.3139657421549	-4.31396574215486
18	11	14.0920675919771	-3.09206759197706
19	12	12.4633936369937	-0.463393636993678
20	11	13.3944487088363	-2.39444870883629
21	14	15.4202006725438	-1.42020067254384
22	18	14.9225128272871	3.07748717271286
23	11	14.1430956365872	-3.14309563658715
24	17	15.1345843614989	1.86541563850114
25	14	14.2006094448059	-0.20060944480588
26	14	15.1231617176841	-1.12316171768412
27	12	12.6100999013616	-0.610099901361558
28	14	15.4128243410789	-1.41282434107893
29	15	15.1914462893690	-0.191446289369035
30	10	12.3799234990193	-2.37992349901928
31	11	12.3529692133593	-1.35296921335931
32	14	13.0465445905705	0.95345540942953
33	11	13.7021329052291	-2.70213290522907
34	15	14.4721475321158	0.527852467884224
35	16	15.4544532901893	0.545546709810738
36	15	13.7150590837869	1.28494091621313
37	16	13.5154873208599	2.48451267914009
38	13	13.8902266194895	-0.890226619489494
39	15	12.8092538909173	2.19074610908266
40	16	13.7343078143309	2.26569218566912
41	13	12.8553182107809	0.144681789219117
42	9	11.6529413034380	-2.65294130343796
43	14	14.0644107743148	-0.0644107743147942
44	15	15.5161267068968	-0.516126706896842
45	14	13.8343339658184	0.165666034181566
46	16	14.7356796048856	1.26432039511445
47	13	13.4577413726532	-0.45774137265324
48	17	12.7850852438922	4.21491475610781
49	16	13.6566154115553	2.34338458844467
50	15	14.7000595441445	0.299940455855537
51	16	13.6638951032945	2.33610489670551
52	15	14.3579389331082	0.642061066891804
53	13	14.3405534133744	-1.34055341337439
54	11	14.5464042100412	-3.5464042100412
55	16	13.0078172921444	2.99218270785565
56	17	14.5739216814113	2.42607831858873
57	10	14.2674664006857	-4.26746640068571
58	17	13.888088967128	3.11191103287199
59	11	14.4219320801474	-3.4219320801474
60	14	13.3167860887002	0.683213911299754
61	15	14.3749598210048	0.62504017899521
62	11	12.9540994051834	-1.95409940518335
63	15	14.3500890489767	0.649910951023294
64	16	14.1792618866486	1.82073811335139
65	16	15.0943216687061	0.90567833129387
66	15	13.4648946291656	1.53510537083444
67	14	15.1259533759282	-1.12595337592815
68	17	14.7157028830430	2.28429711695704
69	12	13.731396348594	-1.73139634859401
70	13	13.5615852146398	-0.561585214639848
71	12	13.0922558621654	-1.09225586216544
72	9	14.4315415747077	-5.43154157470775
73	17	15.5793871154115	1.42061288458853
74	11	13.3149125728471	-2.31491257284713
75	16	14.6326534129155	1.36734658708449
76	14	14.7112527896454	-0.711252789645417
77	9	12.7958266559079	-3.7958266559079
78	15	14.2428730974465	0.757126902553537
79	17	14.7986304886694	2.20136951133057
80	17	12.3060012723212	4.69399872767878
81	15	14.033169526392	0.966830473608008
82	18	13.1949313715317	4.80506862846828
83	13	13.9671527784902	-0.967152778490243
84	15	14.9336418283889	0.0663581716110736
85	12	13.2789398461791	-1.27893984617910
86	16	13.7236684919968	2.27633150800317
87	17	15.1989867051391	1.80101329486089
88	13	13.7778618697625	-0.777861869762505
89	15	12.3509891418084	2.64901085819162
90	12	14.1283816040723	-2.1283816040723
91	11	14.5311068587945	-3.53110685879453
92	15	14.3669710772301	0.633028922769895
93	15	14.9301796095864	0.0698203904135882
94	18	15.0290249740631	2.97097502593685
95	16	12.4974737679987	3.50252623200135
96	12	13.6382270909777	-1.63822709097771
97	16	14.4404840414667	1.55951595853335
98	15	14.6111048015635	0.388895198436529
99	15	13.5288490054556	1.47115099454436
100	17	15.3952968412283	1.60470315877167
101	16	14.9958827106776	1.00411728932239
102	13	15.2872315400232	-2.28723154002325
103	13	13.4244581860286	-0.424458186028593
104	13	12.6431365076289	0.356863492371148
105	16	13.8529645659302	2.14703543406976
106	11	13.2510894948278	-2.25108949482776
107	15	14.508789944592	0.491210055408002
108	15	14.8407039616459	0.159296038354094
109	9	14.1642409444759	-5.16424094447593
110	14	11.1022064037709	2.89779359622905
111	14	14.0535949468925	-0.0535949468924951
112	15	14.1362830973409	0.8637169026591
113	14	14.7225466449787	-0.722546644978747
114	15	13.2879553816439	1.71204461835614
115	14	14.1288391303254	-0.128839130325372
116	13	13.3082203413268	-0.308220341326841
117	15	14.9266232216534	0.0733767783465921
118	16	14.7494993366727	1.25050066332734
119	14	14.0850010888461	-0.0850010888460854
120	14	14.2438309804088	-0.243830980408849
121	14	13.8528027457148	0.147197254285215
122	15	13.7801065880793	1.21989341192066
123	15	14.7908801362229	0.209119863777135
124	13	13.1283370574974	-0.128337057497380
125	15	13.2155369706681	1.78446302933189
126	16	14.5023714827766	1.49762851722342
127	10	12.7823617273212	-2.78236172732121
128	8	12.5559456377475	-4.55594563774745
129	14	13.0338252136312	0.966174786368766
130	12	12.8948242180844	-0.89482421808436
131	13	15.0496665663129	-2.04966656631293
132	15	14.7177843410943	0.28221565890569
133	14	14.8877475731738	-0.88774757317379
134	15	12.9729758195497	2.0270241804503
135	19	14.8653760431002	4.13462395689978
136	17	15.5285034677449	1.47149653225507
137	16	14.7758960165593	1.22410398344071
138	17	12.9645829121061	4.03541708789390
139	13	15.5175042474868	-2.51750424748675
140	16	14.8888030209434	1.11119697905656
141	14	14.6959285530744	-0.695928553074447
142	12	13.5282913549783	-1.52829135497834
143	12	13.4584491377609	-1.45844913776091
144	13	12.8354120265444	0.164587973455570

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.565829480129599	0.868341039740802	0.434170519870401
13	0.917036282055967	0.165927435888066	0.0829637179440328
14	0.90279133826553	0.194417323468939	0.0972086617344695
15	0.859526849521843	0.280946300956314	0.140473150478157
16	0.792663371815769	0.414673256368462	0.207336628184231
17	0.795570265467286	0.408859469065429	0.204429734532714
18	0.739766582814041	0.520466834371917	0.260233417185959
19	0.830806557923743	0.338386884152515	0.169193442076257
20	0.815751511993685	0.36849697601263	0.184248488006315
21	0.75686156927369	0.486276861452619	0.243138430726309
22	0.785133410488294	0.429733179023411	0.214866589511706
23	0.745863440530845	0.50827311893831	0.254136559469155
24	0.734773481216194	0.530453037567611	0.265226518783806
25	0.805943023431337	0.388113953137327	0.194056976568664
26	0.855934515212032	0.288130969575936	0.144065484787968
27	0.83154072534916	0.33691854930168	0.16845927465084
28	0.877409177789986	0.245181644420028	0.122590822210014
29	0.841026485265399	0.317947029469202	0.158973514734601
30	0.831586480961865	0.336827038076269	0.168413519038135
31	0.813697499614683	0.372605000770635	0.186302500385317
32	0.849171318008231	0.301657363983538	0.150828681991769
33	0.827173151072858	0.345653697854284	0.172826848927142
34	0.787300462864569	0.425399074270862	0.212699537135431
35	0.744108242266248	0.511783515467504	0.255891757733752
36	0.743196586579866	0.513606826840268	0.256803413420134
37	0.808786133875629	0.382427732248742	0.191213866124371
38	0.770108657325418	0.459782685349164	0.229891342674582
39	0.802098891018122	0.395802217963755	0.197901108981878
40	0.798579683766257	0.402840632467487	0.201420316233743
41	0.760913874541657	0.478172250916687	0.239086125458343
42	0.755978145727055	0.488043708545889	0.244021854272945
43	0.714964375245059	0.570071249509883	0.285035624754941
44	0.667645464508743	0.664709070982514	0.332354535491257
45	0.615644214585945	0.76871157082811	0.384355785414055
46	0.606250827795888	0.787498344408224	0.393749172204112
47	0.554364897784023	0.891270204431955	0.445635102215977
48	0.720851293379371	0.558297413241258	0.279148706620629
49	0.736352966887333	0.527294066225334	0.263647033112667
50	0.692132880718194	0.615734238563611	0.307867119281806
51	0.70729335099169	0.58541329801662	0.29270664900831
52	0.664997680204548	0.670004639590905	0.335002319795452
53	0.625619601019111	0.748760797961778	0.374380398980889
54	0.680476100446538	0.639047799106924	0.319523899553462
55	0.713323320795796	0.573353358408408	0.286676679204204
56	0.72240411380834	0.55519177238332	0.27759588619166
57	0.816518174095411	0.366963651809178	0.183481825904589
58	0.852750317640239	0.294499364719522	0.147249682359761
59	0.894976172830007	0.210047654339987	0.105023827169993
60	0.87161678176232	0.256766436475360	0.128383218237680
61	0.846191898625465	0.30761620274907	0.153808101374535
62	0.836333240178218	0.327333519643565	0.163666759821782
63	0.805579917264215	0.38884016547157	0.194420082735785
64	0.795140972618266	0.409718054763468	0.204859027381734
65	0.769563885537139	0.460872228925722	0.230436114462861
66	0.754223932246108	0.491552135507784	0.245776067753892
67	0.722068927752393	0.555862144495213	0.277931072247607
68	0.726256012299356	0.547487975401289	0.273743987700644
69	0.706861290685484	0.586277418629031	0.293138709314516
70	0.664035904502583	0.671928190994833	0.335964095497417
71	0.631123361937738	0.737753276124524	0.368876638062262
72	0.833710112872962	0.332579774254077	0.166289887127038
73	0.815651148921586	0.368697702156828	0.184348851078414
74	0.82029991503954	0.359400169920919	0.179700084960460
75	0.802165476099749	0.395669047800502	0.197834523900251
76	0.773803333913999	0.452393332172003	0.226196666086001
77	0.858144916601112	0.283710166797775	0.141855083398888
78	0.83188959426866	0.336220811462681	0.168110405731340
79	0.830329093703452	0.339341812593096	0.169670906296548
80	0.921321391919797	0.157357216160406	0.0786786080802028
81	0.90574654101522	0.188506917969561	0.0942534589847803
82	0.958527808544538	0.0829443829109233	0.0414721914554617
83	0.949014949050039	0.101970101899922	0.0509850509499612
84	0.933873808776189	0.132252382447623	0.0661261912238114
85	0.92288444094443	0.154231118111140	0.0771155590555699
86	0.928693450286246	0.142613099427507	0.0713065497137536
87	0.918094114899731	0.163811770200537	0.0819058851002685
88	0.899892437647958	0.200215124704085	0.100107562352042
89	0.907018954482157	0.185962091035686	0.0929810455178432
90	0.905098042429922	0.189803915140155	0.0949019575700776
91	0.941006080027036	0.117987839945928	0.0589939199729639
92	0.924135142422802	0.151729715154396	0.075864857577198
93	0.903771943579731	0.192456112840537	0.0962280564202686
94	0.93605403446412	0.127891931071759	0.0639459655358797
95	0.958053842859672	0.0838923142806569	0.0419461571403285
96	0.964791640261943	0.0704167194761143	0.0352083597380572
97	0.960559807327372	0.0788803853452562	0.0394401926726281
98	0.94685950280266	0.106280994394678	0.0531404971973392
99	0.938805840925091	0.122388318149818	0.0611941590749089
100	0.93541991502081	0.129160169958379	0.0645800849791896
101	0.929628101441514	0.140743797116971	0.0703718985584857
102	0.926362064984372	0.147275870031255	0.0736379350156276
103	0.909901373891936	0.180197252216127	0.0900986261080637
104	0.884856822487481	0.230286355025037	0.115143177512519
105	0.895960847739957	0.208078304520085	0.104039152260043
106	0.918033910231793	0.163932179536414	0.0819660897682071
107	0.892637071446688	0.214725857106624	0.107362928553312
108	0.863009225136684	0.273981549726632	0.136990774863316
109	0.92098022204696	0.158039555906078	0.0790197779530392
110	0.935078817811449	0.129842364377102	0.0649211821885512
111	0.922647765318825	0.154704469362351	0.0773522346811753
112	0.895737017900774	0.208525964198452	0.104262982099226
113	0.867712422340477	0.264575155319047	0.132287577659523
114	0.833103778190638	0.333792443618724	0.166896221809362
115	0.829260601178077	0.341478797643846	0.170739398821923
116	0.780627488709206	0.438745022581588	0.219372511290794
117	0.721982882952782	0.556034234094437	0.278017117047218
118	0.690793772708573	0.618412454582853	0.309206227291426
119	0.699879697284893	0.600240605430214	0.300120302715107
120	0.627882758362237	0.744234483275526	0.372117241637763
121	0.548657132612549	0.902685734774902	0.451342867387451
122	0.674118099420731	0.651763801158537	0.325881900579269
123	0.594955808782876	0.810088382434249	0.405044191217124
124	0.534336608902179	0.931326782195642	0.465663391097821
125	0.453909594530365	0.90781918906073	0.546090405469635
126	0.362851458120892	0.725702916241785	0.637148541879108
127	0.284885078421694	0.569770156843388	0.715114921578306
128	0.353315756897445	0.70663151379489	0.646684243102555
129	0.506609384800181	0.986781230399637	0.493390615199819
130	0.473524452264806	0.947048904529612	0.526475547735194
131	0.601963855619594	0.796072288760813	0.398036144380406
132	0.452211060533723	0.904422121067446	0.547788939466277

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	4	0.0330578512396694	OK