Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 18.9957165366223 -0.0278024991470845Popularity[t] + 0.0455463905768971KnowingPeople[t] -0.00637402452264036CMistakes[t] -0.280840510374423DAction[t] + 0.181746271876873Tobacco[t] -0.914459276859248Drugs[t] -0.762811775254921Gender[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	-0.0278024991470845	0.078309	-0.355	0.723108	0.361554
KnowingPeople	0.0455463905768971	0.066199	0.688	0.492605	0.246302
CMistakes	-0.00637402452264036	0.035558	-0.1793	0.857999	0.429
DAction	-0.280840510374423	0.073563	-3.8177	0.000203	0.000102
Tobacco	0.181746271876873	0.201833	0.9005	0.369447	0.184723
Drugs	-0.914459276859248	0.368378	-2.4824	0.014259	0.007129
Gender	-0.762811775254921	0.401175	-1.9014	0.059343	0.029672

Multiple Linear Regression - Regression Statistics
Multiple R	0.430048346921455
R-squared	0.184941580689876
Adjusted R-squared	0.143296259995198
F-TEST (value)	4.44087301057838
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	662.355819179236

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	14	15.1838316030315	-1.18383160303153
2	18	14.8758878074126	3.12411219258743
3	11	15.5135306633869	-4.51353066338689
4	12	12.7854569899845	-0.785456989984458
5	16	14.9173337133357	1.08266628666430
6	18	15.1061860848256	2.89381391517442
7	14	14.4705801335575	-0.470580133557483
8	14	14.8354603760197	-0.835460376019714
9	15	14.8909422575144	0.109057742485617
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	1.98150496072231
15	14	11.2123900048692	2.78760999513077
16	14	14.2168499394085	-0.216849939408523
17	17	14.9703383253408	2.02966167465919
18	14	14.3251804549211	-0.325180454921146
19	16	14.4368256154272	1.56317438457275
20	18	12.6226069299641	5.37739307003592
21	14	14.5378711160821	-0.537871116082101
22	12	13.2521245540801	-1.25212455408015
23	17	12.6793097587289	4.32069024127114
24	9	11.9547441598086	-2.95474415980858
25	16	14.2099774135199	1.79002258648013
26	14	14.1827534970653	-0.182753497065282
27	11	13.3744282930834	-2.37442829308336
28	16	14.4734955372592	1.52650446274084
29	13	13.1829533025514	-0.182953302551449
30	17	14.8391449592143	2.16085504078566
31	15	15.0563228200996	-0.0563228200995524
32	14	14.3156949272231	-0.315694927223066
33	16	13.2757403831666	2.72425961683337
34	9	12.0634019218240	-3.06340192182396
35	15	13.6855347815592	1.31446521844080
36	17	15.9766332318954	1.02336676810457
37	13	12.9843913018552	0.0156086981447623
38	15	13.0290763964619	1.97092360353807
39	16	13.7239338979155	2.27606610208450
40	16	15.8137466245252	0.186253375474806
41	12	13.8711640835198	-1.87116408351985
42	11	13.4438827563934	-2.44388275639338
43	15	15.2488831074477	-0.248883107447689
44	17	15.1126832261477	1.88731677385229
45	13	14.0853966498101	-1.08539664981007
46	16	13.6216176549634	2.37838234503664
47	14	14.0281642750027	-0.0281642750027268
48	11	14.3217528344224	-3.32175283442243
49	12	13.5436559631263	-1.54365596312634
50	12	15.0266304790701	-3.02663047907007
51	15	15.1942063280719	-0.194206328071934
52	16	15.3512119659202	0.648788034079823
53	15	15.1113719669578	-0.111371966957814
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	-1.39045125492264
60	15	13.7445136357822	1.25548636421785
61	10	13.9796685196258	-3.97966851962584
62	11	14.9184285830303	-3.91842858303025
63	12	13.3881385221454	-1.38813852214537
64	15	13.6621012802075	1.33789871979248
65	15	14.5594202219167	0.440579778083251
66	14	13.2319552149993	0.768044785000675
67	16	12.7063639487742	3.29363605122582
68	15	15.6057619488741	-0.605761948874102
69	15	15.4100005604537	-0.410000560453668
70	13	14.0790226252874	-1.07902262528743
71	17	14.7571156439112	2.2428843560888
72	13	13.3163197666959	-0.316319766695935
73	15	13.8151599257999	1.18484007420015
74	13	14.3141936282855	-1.31419362828546
75	15	13.1379829527698	1.86201704723019
76	16	14.2129161618388	1.78708383816118
77	15	14.7202496789135	0.279750321086534
78	16	13.8524758540173	2.14752414598272
79	15	14.5040776326839	0.495922367316139
80	14	14.8077247998208	-0.807724799820837
81	15	12.7867586762960	2.21324132370396
82	7	13.2415770178752	-6.24157701787518
83	17	15.4846834406241	1.51531655937586
84	13	16.2435482236231	-3.24354822362315
85	15	14.5419387395482	0.458061260451782
86	14	14.0916607159115	-0.0916607159114877
87	13	12.4824989068191	0.517501093180875
88	16	14.9707320947092	1.02926790529078
89	12	14.5054558148220	-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	-1.72671725651346
97	15	14.2022880032944	0.797711996705624
98	9	13.9461349596996	-4.94613495969958
99	16	14.848208425065	1.15179157493501
100	10	12.6384430932132	-2.63844309321322
101	10	11.9097875817659	-1.9097875817659
102	15	14.6911359205765	0.308864079423518
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	14.5066278380580	1.49337216194197
108	14	13.0726846832598	0.927315316740201
109	14	14.1847437244906	-0.184743724490588
110	14	14.5128154083329	-0.512815408332917
111	14	14.0170569178191	-0.0170569178190783
112	12	13.6018834798003	-1.60188347980030
113	14	14.6330315207020	-0.633031520702012
114	15	15.0048416954307	-0.0048416954307306
115	15	13.9909487181334	1.00905128186662
116	13	12.1582021180912	0.841797881908786
117	17	14.2047418933306	2.79525810666936
118	17	14.5929638975792	2.40703610242076
119	19	15.5996371750345	3.40036282496553
120	15	14.5346364961072	0.465363503892837
121	13	13.8401108452435	-0.840110845243483
122	9	11.9320485170236	-2.93204851702361
123	15	15.1418406191236	-0.141840619123571
124	15	14.5914630993864	0.408536900613567
125	16	15.266293596663	0.733706403337001
126	11	13.3044149073808	-2.30441490738084
127	14	13.6626050079972	0.337394992002850
128	11	13.5778324867961	-2.57783248679606
129	15	12.4537809612442	2.54621903875583
130	13	12.8035839216858	0.196416078314241
131	16	12.9074247518848	3.09257524811517
132	14	15.6099354605564	-1.60993546055643
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	-0.0329331774602981
142	13	16.2435482236231	-3.24354822362315
143	14	14.7118651812982	-0.711865181298224
144	19	15.5996371750345	3.40036282496553
145	13	15.3188635876083	-2.31886358760825

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.249709661191154	0.499419322382307	0.750290338808846
12	0.210505369739085	0.421010739478171	0.789494630260915
13	0.232084565003127	0.464169130006253	0.767915434996874
14	0.397914059144243	0.795828118288486	0.602085940855757
15	0.340552533668906	0.681105067337812	0.659447466331094
16	0.241130777796968	0.482261555593936	0.758869222203032
17	0.568505313276329	0.862989373447342	0.431494686723671
18	0.477143418819631	0.954286837639261	0.522856581180369
19	0.531619741790981	0.936760516418037	0.468380258209019
20	0.88027259336957	0.239454813260859	0.119727406630430
21	0.858823975931402	0.282352048137196	0.141176024068598
22	0.856592912536119	0.286814174927763	0.143407087463881
23	0.890057538345728	0.219884923308545	0.109942461654272
24	0.926990130132666	0.146019739734668	0.0730098698673339
25	0.904225972200997	0.191548055598006	0.0957740277990032
26	0.88695483814733	0.226090323705339	0.113045161852670
27	0.912335915099384	0.175328169801232	0.0876640849006158
28	0.89405403134521	0.211891937309582	0.105945968654791
29	0.89251326967593	0.214973460648142	0.107486730324071
30	0.884013865591507	0.231972268816985	0.115986134408493
31	0.863950834479202	0.272098331041596	0.136049165520798
32	0.831934419258156	0.336131161483688	0.168065580741844
33	0.819505870036878	0.360988259926245	0.180494129963122
34	0.887880474159393	0.224239051681215	0.112119525840607
35	0.862869931012943	0.274260137974115	0.137130068987058
36	0.829648384141502	0.340703231716996	0.170351615858498
37	0.789432847657595	0.421134304684810	0.210567152342405
38	0.76159280604371	0.476814387912581	0.238407193956290
39	0.762796330242139	0.474407339515722	0.237203669757861
40	0.719698687983326	0.560602624033348	0.280301312016674
41	0.699385533842548	0.601228932314905	0.300614466157452
42	0.733343664359833	0.533312671280334	0.266656335640167
43	0.689093927844303	0.621812144311394	0.310906072155697
44	0.664426471970889	0.671147056058222	0.335573528029111
45	0.625452665790736	0.749094668418528	0.374547334209264
46	0.614710385753559	0.770579228492882	0.385289614246441
47	0.585188996637591	0.829622006724818	0.414811003362409
48	0.711466801770124	0.577066396459752	0.288533198229876
49	0.702481729660041	0.595036540679918	0.297518270339959
50	0.747279683643738	0.505440632712523	0.252720316356262
51	0.703633685554569	0.592732628890863	0.296366314445431
52	0.659346974042481	0.681306051915038	0.340653025957519
53	0.61895428573032	0.76209142853936	0.38104571426968
54	0.585477770042772	0.829044459914456	0.414522229957228
55	0.566566648664832	0.866866702670337	0.433433351335168
56	0.757576537306774	0.484846925386451	0.242423462693226
57	0.7311848847412	0.5376302305176	0.2688151152588
58	0.804527097753853	0.390945804492294	0.195472902246147
59	0.790832164584861	0.418335670830278	0.209167835415139
60	0.765137431214466	0.469725137571068	0.234862568785534
61	0.847696118963544	0.304607762072912	0.152303881036456
62	0.900836695940028	0.198326608119944	0.099163304059972
63	0.886533701742372	0.226932596515257	0.113466298257628
64	0.870893498086672	0.258213003826657	0.129106501913328
65	0.8445751431719	0.310849713656198	0.155424856828099
66	0.816317632789096	0.367364734421808	0.183682367210904
67	0.852869097930114	0.294261804139772	0.147130902069886
68	0.82512274933879	0.349754501322421	0.174877250661210
69	0.793345144693776	0.413309710612449	0.206654855306224
70	0.768760874639912	0.462478250720177	0.231239125360088
71	0.7685206828493	0.462958634301399	0.231479317150700
72	0.73024736763171	0.53950526473658	0.26975263236829
73	0.700643417395328	0.598713165209344	0.299356582604672
74	0.68363445304018	0.63273109391964	0.31636554695982
75	0.669973007941782	0.660053984116435	0.330026992058217
76	0.651346960201457	0.697306079597087	0.348653039798543
77	0.604321870285023	0.791356259429954	0.395678129714977
78	0.599323263224419	0.801353473551162	0.400676736775581
79	0.553772009859634	0.892455980280731	0.446227990140366
80	0.511862673995357	0.976274652009286	0.488137326004643
81	0.515683130595052	0.968633738809895	0.484316869404948
82	0.796746423186167	0.406507153627666	0.203253576813833
83	0.780097659731766	0.439804680536467	0.219902340268234
84	0.821151426767422	0.357697146465156	0.178848573232578
85	0.78807643637456	0.423847127250879	0.211923563625440
86	0.749881385044836	0.500237229910327	0.250118614955164
87	0.711629742625002	0.576740514749996	0.288370257374998
88	0.684300624151771	0.631398751696458	0.315699375848229
89	0.689970767268842	0.620058465462317	0.310029232731158
90	0.669444138148268	0.661111723703464	0.330555861851732
91	0.699432204288688	0.601135591422623	0.300567795711311
92	0.652544215170268	0.694911569659463	0.347455784829732
93	0.823934421691819	0.352131156616363	0.176065578308181
94	0.794113045495833	0.411773909008334	0.205886954504167
95	0.795607016650218	0.408785966699564	0.204392983349782
96	0.77741771291142	0.445164574177159	0.222582287088580
97	0.752558876375206	0.494882247249588	0.247441123624794
98	0.899540348946936	0.200919302106128	0.100459651053064
99	0.87958935637192	0.240821287256159	0.120410643628079
100	0.879153213269572	0.241693573460855	0.120846786730428
101	0.86333663730399	0.27332672539202	0.13666336269601
102	0.832178179559715	0.33564364088057	0.167821820440285
103	0.862684777454958	0.274630445090083	0.137315222545042
104	0.886633956006366	0.226732087987268	0.113366043993634
105	0.891715929862091	0.216568140275818	0.108284070137909
106	0.908586051024546	0.182827897950908	0.091413948975454
107	0.884974583211856	0.230050833576289	0.115025416788144
108	0.898964617627392	0.202070764745216	0.101035382372608
109	0.873400859807019	0.253198280385962	0.126599140192981
110	0.90266108084191	0.194677838316179	0.0973389191580897
111	0.882956250587048	0.234087498825904	0.117043749412952
112	0.851205655375482	0.297588689249037	0.148794344624518
113	0.81040189003717	0.37919621992566	0.18959810996283
114	0.765976169976212	0.468047660047577	0.234023830023788
115	0.724421485402817	0.551157029194367	0.275578514597183
116	0.665575438178859	0.668849123642282	0.334424561821141
117	0.713252741151518	0.573494517696964	0.286747258848482
118	0.69002896580762	0.619942068384759	0.309971034192379
119	0.703773818298343	0.592452363403315	0.296226181701657
120	0.802212943325253	0.395574113349495	0.197787056674748
121	0.74984300517293	0.50031398965414	0.25015699482707
122	0.855684742578497	0.288630514843005	0.144315257421503
123	0.82163581444932	0.356728371101359	0.178364185550680
124	0.78268797215557	0.434624055688859	0.217312027844430
125	0.71195205458444	0.576095890831121	0.288047945415560
126	0.664905699247686	0.670188601504629	0.335094300752314
127	0.576830495071415	0.84633900985717	0.423169504928585
128	0.532828728802137	0.934342542395725	0.467171271197863
129	0.437633828212867	0.875267656425734	0.562366171787133
130	0.345298966383008	0.690597932766017	0.654701033616992
131	0.424558044333715	0.84911608866743	0.575441955666285
132	0.56960838636571	0.860783227268579	0.430391613634290
133	0.433754457427058	0.867508914854117	0.566245542572942
134	0.646973282891342	0.706053434217315	0.353026717108658

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