Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 18.9957165366223 -0.027802499147085Popularity[t] + 0.0455463905768971KnowingPeople[t] -0.00637402452264016CMistakes[t] -0.280840510374424DAction[t] + 0.181746271876873Tobacco[t] -0.914459276859251Drugs[t] -0.762811775254925Gender[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)	18.9957165366223	1.559459	12.181	0	0
Popularity	-0.027802499147085	0.078309	-0.355	0.723108	0.361554
KnowingPeople	0.0455463905768971	0.066199	0.688	0.492605	0.246302
CMistakes	-0.00637402452264016	0.035558	-0.1793	0.857999	0.429
DAction	-0.280840510374424	0.073563	-3.8177	0.000203	0.000102
Tobacco	0.181746271876873	0.201833	0.9005	0.369447	0.184723
Drugs	-0.914459276859251	0.368378	-2.4824	0.014259	0.007129
Gender	-0.762811775254925	0.401175	-1.9014	0.059343	0.029672

Multiple Linear Regression - Regression Statistics
Multiple R	0.430048346921455
R-squared	0.184941580689876
Adjusted R-squared	0.143296259995199
F-TEST (value)	4.44087301057839
F-TEST (DF numerator)	7
F-TEST (DF denominator)	137
p-value	0.000177261813259388
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.19879831012477
Sum Squared Residuals	662.355819179235

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	15.1838316030313	-1.18383160303134
2	18	14.8758878074126	3.12411219258742
3	11	15.5135306633869	-4.5135306633869
4	12	12.7854569899845	-0.785456989984462
5	16	14.9173337133357	1.08266628666429
6	18	15.1061860848256	2.89381391517442
7	14	14.4705801335575	-0.47058013355749
8	14	14.8354603760197	-0.835460376019715
9	15	14.8909422575144	0.109057742485613
10	15	13.4144421516362	1.5855578483638
11	17	12.8769434841987	4.12305651580128
12	19	14.5597495539262	4.44025044607376
13	10	12.5245842728517	-2.52458427285174
14	18	16.0184950392777	1.9815049607223
15	14	11.2123900048692	2.78760999513078
16	14	14.2168499394085	-0.216849939408522
17	17	14.9703383253408	2.02966167465919
18	14	14.3251804549211	-0.325180454921148
19	16	14.4368256154273	1.56317438457275
20	18	12.6226069299641	5.37739307003592
21	14	14.5378711160821	-0.537871116082105
22	12	13.2521245540802	-1.25212455408015
23	17	12.6793097587289	4.32069024127114
24	9	11.9547441598086	-2.95474415980857
25	16	14.2099774135199	1.79002258648013
26	14	14.1827534970653	-0.182753497065283
27	11	13.3744282930834	-2.37442829308335
28	16	14.4734955372592	1.52650446274083
29	13	13.1829533025515	-0.182953302551449
30	17	14.8391449592143	2.16085504078565
31	15	15.0563228200996	-0.0563228200995568
32	14	14.3156949272231	-0.315694927223065
33	16	13.2757403831666	2.72425961683337
34	9	12.063401921824	-3.06340192182395
35	15	13.6855347815592	1.3144652184408
36	17	15.9766332318954	1.02336676810457
37	13	12.9843913018552	0.0156086981447637
38	15	13.0290763964619	1.97092360353807
39	16	13.7239338979155	2.2760661020845
40	16	15.8137466245252	0.186253375474805
41	12	13.8711640835198	-1.87116408351985
42	11	13.4438827563934	-2.44388275639338
43	15	15.2488831074477	-0.248883107447692
44	17	15.1126832261477	1.88731677385229
45	13	14.0853966498101	-1.08539664981007
46	16	13.6216176549634	2.37838234503663
47	14	14.0281642750027	-0.0281642750027282
48	11	14.3217528344224	-3.32175283442243
49	12	13.5436559631263	-1.54365596312634
50	12	15.0266304790701	-3.02663047907007
51	15	15.1942063280719	-0.194206328071937
52	16	15.3512119659202	0.648788034079818
53	15	15.1113719669578	-0.111371966957816
54	12	13.0078972731827	-1.00789727318273
55	12	13.9167541087356	-1.91675410873562
56	8	12.6239617231306	-4.62396172313061
57	13	14.3862312588195	-1.38623125881954
58	11	14.8003556334316	-3.80035563343157
59	14	15.3904512549226	-1.39045125492265
60	15	13.7445136357822	1.25548636421785
61	10	13.9796685196258	-3.97966851962584
62	11	14.9184285830303	-3.91842858303026
63	12	13.3881385221454	-1.38813852214537
64	15	13.6621012802075	1.33789871979248
65	15	14.5594202219167	0.440579778083251
66	14	13.2319552149993	0.76804478500068
67	16	12.7063639487742	3.29363605122582
68	15	15.6057619488741	-0.605761948874105
69	15	15.4100005604537	-0.410000560453672
70	13	14.0790226252874	-1.07902262528743
71	17	14.7571156439112	2.2428843560888
72	13	13.3163197666959	-0.316319766695937
73	15	13.8151599257999	1.18484007420015
74	13	14.3141936282855	-1.31419362828546
75	15	13.1379829527698	1.86201704723019
76	16	14.2129161618388	1.78708383816117
77	15	14.7202496789135	0.279750321086532
78	16	13.8524758540173	2.14752414598272
79	15	14.5040776326839	0.495922367316138
80	14	14.8077247998208	-0.807724799820839
81	15	12.786758676296	2.21324132370395
82	7	13.2415770178752	-6.24157701787518
83	17	15.4846834406241	1.51531655937586
84	13	16.2435482236232	-3.24354822362315
85	15	14.5419387395482	0.45806126045178
86	14	14.0916607159115	-0.0916607159114886
87	13	12.4824989068191	0.517501093180879
88	16	14.9707320947092	1.02926790529078
89	12	14.505455814822	-2.50545581482197
90	14	15.4631880430515	-1.46318804305149
91	17	14.3894658787945	2.61053412120552
92	15	14.8432663472504	0.156733652749603
93	17	12.9146170369047	4.08538296309534
94	12	13.0957942989674	-1.09579429896735
95	16	14.1334323683441	1.86656763165585
96	11	12.7267172565135	-1.72671725651345
97	15	14.2022880032944	0.79771199670562
98	9	13.9461349596996	-4.94613495969958
99	16	14.848208425065	1.151791574935
100	10	12.6384430932132	-2.63844309321322
101	10	11.9097875817659	-1.9097875817659
102	15	14.6911359205765	0.308864079423516
103	11	14.1189463288907	-3.11894632889067
104	13	15.0133882751135	-2.01338827511348
105	14	12.5461231480931	1.45387685190692
106	18	15.2049641496919	2.79503585030809
107	16	14.506627838058	1.49337216194197
108	14	13.0726846832598	0.927315316740199
109	14	14.1847437244906	-0.18474372449059
110	14	14.5128154083329	-0.512815408332923
111	14	14.0170569178191	-0.0170569178190805
112	12	13.6018834798003	-1.6018834798003
113	14	14.633031520702	-0.633031520702015
114	15	15.0048416954307	-0.00484169543073433
115	15	13.9909487181334	1.00905128186662
116	13	12.1582021180912	0.84179788190879
117	17	14.2047418933306	2.79525810666936
118	17	14.5929638975792	2.40703610242076
119	19	15.5996371750345	3.40036282496553
120	15	14.5346364961072	0.465363503892836
121	13	13.8401108452435	-0.84011084524348
122	9	11.9320485170236	-2.9320485170236
123	15	15.1418406191236	-0.14184061912357
124	15	14.5914630993864	0.408536900613566
125	16	15.266293596663	0.733706403336993
126	11	13.3044149073808	-2.30441490738084
127	14	13.6626050079972	0.33739499200285
128	11	13.5778324867961	-2.57783248679606
129	15	12.4537809612442	2.54621903875583
130	13	12.8035839216858	0.196416078314244
131	16	12.9074247518848	3.09257524811517
132	14	15.6099354605564	-1.60993546055644
133	15	13.9899869945072	1.01001300549285
134	16	14.5181167515597	1.48188324844031
135	16	14.987346998376	1.01265300162401
136	11	12.4350752898802	-1.43507528988019
137	13	13.4421651686227	-0.442165168622658
138	16	14.2099774135199	1.79002258648013
139	12	14.0979678174859	-2.09796781748592
140	9	13.4928538066929	-4.49285380669292
141	13	13.0329331774603	-0.0329331774602952
142	13	16.2435482236232	-3.24354822362315
143	14	14.7118651812982	-0.71186518129823
144	19	15.5996371750345	3.40036282496553
145	13	15.3188635876083	-2.31886358760826

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.249709661191154	0.499419322382309	0.750290338808846
12	0.210505369739087	0.421010739478173	0.789494630260913
13	0.232084565003127	0.464169130006255	0.767915434996873
14	0.397914059144242	0.795828118288485	0.602085940855758
15	0.340552533668904	0.681105067337807	0.659447466331096
16	0.241130777796967	0.482261555593933	0.758869222203033
17	0.568505313276329	0.862989373447342	0.431494686723671
18	0.47714341881963	0.95428683763926	0.52285658118037
19	0.531619741790979	0.936760516418042	0.468380258209021
20	0.88027259336957	0.23945481326086	0.11972740663043
21	0.858823975931402	0.282352048137196	0.141176024068598
22	0.856592912536113	0.286814174927773	0.143407087463887
23	0.890057538345726	0.219884923308547	0.109942461654274
24	0.926990130132666	0.146019739734667	0.0730098698673336
25	0.904225972200996	0.191548055598008	0.0957740277990038
26	0.88695483814733	0.226090323705339	0.11304516185267
27	0.912335915099383	0.175328169801233	0.0876640849006165
28	0.894054031345209	0.211891937309583	0.105945968654791
29	0.892513269675928	0.214973460648143	0.107486730324072
30	0.884013865591507	0.231972268816987	0.115986134408493
31	0.863950834479203	0.272098331041595	0.136049165520797
32	0.831934419258155	0.33613116148369	0.168065580741845
33	0.819505870036874	0.360988259926252	0.180494129963126
34	0.887880474159393	0.224239051681213	0.112119525840607
35	0.862869931012943	0.274260137974114	0.137130068987057
36	0.829648384141502	0.340703231716996	0.170351615858498
37	0.789432847657596	0.421134304684809	0.210567152342404
38	0.761592806043712	0.476814387912577	0.238407193956288
39	0.762796330242138	0.474407339515723	0.237203669757862
40	0.719698687983326	0.560602624033348	0.280301312016674
41	0.699385533842549	0.601228932314902	0.300614466157451
42	0.73334366435983	0.533312671280339	0.26665633564017
43	0.689093927844304	0.621812144311392	0.310906072155696
44	0.664426471970888	0.671147056058224	0.335573528029112
45	0.625452665790739	0.749094668418522	0.374547334209261
46	0.614710385753558	0.770579228492884	0.385289614246442
47	0.585188996637593	0.829622006724814	0.414811003362407
48	0.711466801770123	0.577066396459754	0.288533198229877
49	0.702481729660043	0.595036540679915	0.297518270339957
50	0.747279683643738	0.505440632712523	0.252720316356262
51	0.703633685554569	0.592732628890863	0.296366314445431
52	0.659346974042482	0.681306051915037	0.340653025957518
53	0.618954285730317	0.762091428539365	0.381045714269683
54	0.585477770042774	0.829044459914451	0.414522229957226
55	0.566566648664829	0.866866702670343	0.433433351335171
56	0.757576537306772	0.484846925386455	0.242423462693228
57	0.731184884741196	0.537630230517608	0.268815115258804
58	0.804527097753856	0.390945804492289	0.195472902246144
59	0.790832164584861	0.418335670830277	0.209167835415139
60	0.765137431214466	0.469725137571068	0.234862568785534
61	0.84769611896354	0.304607762072919	0.152303881036459
62	0.900836695940028	0.198326608119944	0.099163304059972
63	0.886533701742371	0.226932596515257	0.113466298257629
64	0.870893498086672	0.258213003826657	0.129106501913328
65	0.844575143171901	0.310849713656198	0.155424856828099
66	0.816317632789097	0.367364734421806	0.183682367210903
67	0.852869097930114	0.294261804139772	0.147130902069886
68	0.82512274933879	0.349754501322421	0.17487725066121
69	0.793345144693776	0.413309710612447	0.206654855306224
70	0.768760874639912	0.462478250720175	0.231239125360088
71	0.7685206828493	0.4629586343014	0.2314793171507
72	0.73024736763171	0.539505264736581	0.26975263236829
73	0.700643417395328	0.598713165209345	0.299356582604672
74	0.683634453040181	0.632731093919637	0.316365546959819
75	0.669973007941785	0.660053984116431	0.330026992058215
76	0.651346960201458	0.697306079597084	0.348653039798542
77	0.604321870285025	0.79135625942995	0.395678129714975
78	0.599323263224418	0.801353473551163	0.400676736775582
79	0.553772009859633	0.892455980280734	0.446227990140367
80	0.511862673995356	0.976274652009289	0.488137326004644
81	0.515683130595054	0.96863373880989	0.484316869404946
82	0.796746423186168	0.406507153627663	0.203253576813832
83	0.780097659731765	0.43980468053647	0.219902340268235
84	0.821151426767421	0.357697146465158	0.178848573232579
85	0.78807643637456	0.423847127250878	0.211923563625439
86	0.749881385044835	0.500237229910329	0.250118614955165
87	0.711629742625002	0.576740514749995	0.288370257374998
88	0.684300624151772	0.631398751696456	0.315699375848228
89	0.689970767268842	0.620058465462316	0.310029232731158
90	0.669444138148268	0.661111723703464	0.330555861851732
91	0.699432204288688	0.601135591422624	0.300567795711312
92	0.652544215170264	0.694911569659472	0.347455784829736
93	0.823934421691819	0.352131156616363	0.176065578308181
94	0.794113045495834	0.411773909008333	0.205886954504166
95	0.795607016650217	0.408785966699565	0.204392983349783
96	0.77741771291142	0.44516457417716	0.22258228708858
97	0.752558876375209	0.494882247249583	0.247441123624791
98	0.899540348946936	0.200919302106128	0.100459651053064
99	0.879589356371921	0.240821287256157	0.120410643628079
100	0.879153213269571	0.241693573460857	0.120846786730429
101	0.86333663730399	0.273326725392021	0.13666336269601
102	0.832178179559715	0.33564364088057	0.167821820440285
103	0.86268477745496	0.27463044509008	0.13731522254504
104	0.886633956006367	0.226732087987267	0.113366043993633
105	0.89171592986209	0.21656814027582	0.10828407013791
106	0.908586051024545	0.182827897950909	0.0914139489754545
107	0.884974583211857	0.230050833576287	0.115025416788143
108	0.898964617627392	0.202070764745216	0.101035382372608
109	0.87340085980702	0.25319828038596	0.12659914019298
110	0.90266108084191	0.19467783831618	0.0973389191580902
111	0.882956250587048	0.234087498825904	0.117043749412952
112	0.851205655375483	0.297588689249034	0.148794344624517
113	0.81040189003717	0.379196219925661	0.18959810996283
114	0.765976169976212	0.468047660047577	0.234023830023788
115	0.724421485402816	0.551157029194368	0.275578514597184
116	0.665575438178858	0.668849123642285	0.334424561821142
117	0.713252741151518	0.573494517696965	0.286747258848482
118	0.69002896580762	0.61994206838476	0.30997103419238
119	0.703773818298344	0.592452363403313	0.296226181701656
120	0.802212943325252	0.395574113349495	0.197787056674748
121	0.749843005172931	0.500313989654138	0.250156994827069
122	0.855684742578498	0.288630514843003	0.144315257421502
123	0.821635814449319	0.356728371101363	0.178364185550681
124	0.78268797215557	0.434624055688859	0.217312027844429
125	0.711952054584441	0.576095890831118	0.288047945415559
126	0.664905699247685	0.67018860150463	0.335094300752315
127	0.576830495071415	0.84633900985717	0.423169504928585
128	0.532828728802137	0.934342542395726	0.467171271197863
129	0.437633828212866	0.875267656425731	0.562366171787134
130	0.345298966383009	0.690597932766018	0.654701033616991
131	0.424558044333715	0.84911608866743	0.575441955666285
132	0.569608386365709	0.860783227268581	0.430391613634291
133	0.433754457427057	0.867508914854114	0.566245542572943
134	0.646973282891341	0.706053434217318	0.353026717108659

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