Multiple Linear Regression - Estimated Regression Equation

Happiness[t] = + 14.1776102759824 -0.662395540767814Gender[t] + 0.0402732610028032Popularity[t] + 0.063572774662549Liked[t] -0.107430080189719Celebrity[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)	14.1776102759824	1.342391	10.5615	0	0
Gender	-0.662395540767814	0.381668	-1.7355	0.084647	0.042324
Popularity	0.0402732610028032	0.083249	0.4838	0.629236	0.314618
Liked	0.063572774662549	0.106941	0.5945	0.553073	0.276537
Celebrity	-0.107430080189719	0.171962	-0.6247	0.533072	0.266536

Multiple Linear Regression - Regression Statistics
Multiple R	0.167199882635009
R-squared	0.0279558007531608
Adjusted R-squared	0.00270789947402217
F-TEST (value)	1.10725245809875
F-TEST (DF numerator)	4
F-TEST (DF denominator)	154
p-value	0.355215089174953
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.29699286024406
Sum Squared Residuals	812.53113480188

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	14.3011792397315	0.698820760268548
2	9	13.6056785270096	-4.60567852700957
3	12	13.7023564736262	-1.70235647362619
4	15	13.5618212214824	1.4381787785176
5	17	13.642367743488	3.35763225651199
6	14	13.1267216096856	0.873278390314383
7	9	14.0567979519223	-5.05679795192232
8	12	14.4963239309755	-2.49632393097552
9	11	13.434779824704	-2.43477982470404
10	13	13.6020944824852	-0.602094482485208
11	16	14.5894178330678	1.41058216693223
12	16	14.0998129347174	1.90018706528256
13	15	14.4041829526648	0.595817047335234
14	10	13.1491788006133	-3.14917880061332
15	16	14.2377106176156	1.76228938238436
16	12	13.5985104379608	-1.59851043796084
17	15	13.742629734629	1.257370265371
18	13	14.4247407445322	-1.42474074453219
19	18	14.2367641423369	3.76323585766314
20	13	13.8295020229513	-0.829502022951292
21	17	14.280621447864	2.71937855213597
22	14	14.3952196171025	-0.395219617102488
23	13	13.2941404200135	-0.294140420013519
24	13	14.6736525521445	-1.67365255214448
25	15	14.3880515280538	0.611948471946246
26	13	14.180359456723	-1.18035945672305
27	15	14.4516243027163	0.548375697283697
28	13	14.0998129347174	-1.09981293471744
29	14	14.1973332040661	-0.197333204066107
30	13	14.3611679698696	-1.36116796986964
31	16	14.1875275457718	1.81247245422822
32	14	14.4051294279435	-0.405129427943544
33	12	13.7427338871757	-1.74273388717573
34	18	14.2877895369128	3.71221046308723
35	15	14.1400861957202	0.859913804279754
36	9	13.5081582576609	-4.50815825766091
37	16	13.6218099516206	2.37819004837941
38	16	14.4623764362894	1.5376235637106
39	17	13.7766813818618	3.22331861813816
40	13	13.742629734629	-0.742629734628997
41	17	14.4685980500594	2.53140194994064
42	15	14.4113510417135	0.5886489582865
43	14	14.1731913676743	-0.173191367674315
44	10	13.1571892123941	-3.1571892123941
45	13	13.7256559872859	-0.72565598728594
46	11	14.1176290047925	-3.11762900479255
47	11	14.4247407445322	-3.42474074453219
48	16	13.7023564736262	2.29764352637381
49	16	13.7023564736262	2.29764352637381
50	11	14.4918975637191	-3.49189756371911
51	15	14.3110890505725	0.688910949427485
52	15	14.3011792397315	0.698820760268541
53	12	14.4050252753968	-2.40502527539681
54	17	14.3916355725781	2.60836442742188
55	15	13.4141178802899	1.58588211971012
56	16	13.4105338357655	2.58946616423448
57	14	14.4149350862379	-0.414935086237867
58	17	14.2269584840425	2.77304151595746
59	10	14.0192664127118	-4.01926641271184
60	11	13.4212859693386	-2.42128596933862
61	15	14.2877895369128	0.712210463087231
62	15	13.6620832126234	1.33791678737661
63	7	14.180359456723	-7.18035945672305
64	17	13.6925508153319	3.30744918466813
65	14	13.9163743112736	0.0836256887264133
66	18	13.4678849966581	4.53211500334189
67	14	13.6351996544393	0.364800345560722
68	12	14.3173106643425	-2.31731066434247
69	14	13.4776906549524	0.522309345047568
70	9	14.5321708247219	-5.53217082472191
71	14	14.347778267051	-0.347778267050951
72	11	14.3110890505725	-3.31108905057251
73	15	14.3110890505725	0.688910949427485
74	16	14.2206327177259	1.77936728227415
75	17	14.1973332040661	2.80266679593389
76	16	14.7067577240985	1.29324227590146
77	12	13.2905563754892	-1.29055637548915
78	15	14.2134646286771	0.786535371322881
79	15	13.6684089789401	1.33159102105992
80	16	14.24129466214	1.75870533785999
81	16	14.5698065164791	1.43019348352088
82	11	13.7328240763347	-2.73282407633467
83	15	13.6218099516206	1.37819004837941
84	12	14.3075050060481	-2.30750500604815
85	14	13.5278737267963	0.472126273203709
86	15	14.2108270594315	0.789172940568471
87	17	14.5053914190845	2.49460858091547
88	19	14.4050252753968	4.59497472460319
89	15	14.4086093199212	0.591390680078822
90	16	13.5349376632983	2.46506233670171
91	14	14.0729293765333	-0.0729293765333301
92	16	14.1167866820605	1.8832133179395
93	15	14.0603819964467	0.939618003553315
94	15	14.3952196171025	0.604780382897512
95	17	13.4884427885255	3.51155721147447
96	12	14.2537378896799	-2.25373788967992
97	18	14.1006552574495	3.89934474255051
98	13	14.3952196171025	-1.39521961710249
99	14	14.1669697539044	-0.166969753904359
100	14	13.7059405181506	0.294059481849439
101	14	13.658499168099	0.341500831900977
102	12	13.5717310323235	-1.57173103232346
103	14	14.3513623115753	-0.351362311575318
104	12	13.4177019248142	-1.41770192481425
105	15	14.2537378896799	0.746262110320078
106	11	14.5527286165893	-3.55272861658933
107	11	13.913736742028	-2.913736742028
108	15	14.1033969792418	0.89660302075819
109	14	14.3612721224164	-0.361272122416374
110	15	13.6486935098047	1.3513064901953
111	16	14.4247407445322	1.57525925546781
112	12	13.6218099516206	-1.62180995162059
113	14	14.15716409561	-0.157164095610036
114	14	14.15716409561	-0.157164095610036
115	18	14.2814637705961	3.71853622940392
116	14	14.3011792397315	-0.301179239731459
117	13	14.2242167622502	-1.22421676225022
118	14	13.4543911412927	0.545608858707314
119	14	14.4247407445322	-0.42474074453219
120	17	14.180359456723	2.81964054327695
121	12	14.0362401600549	-2.03624016005489
122	16	14.3513623115753	1.64863768842468
123	15	13.5008785571171	1.49912144288288
124	10	13.541263429615	-3.54126342961498
125	13	13.8062025092915	-0.806202509291546
126	15	13.5753150768478	1.42468492315217
127	16	14.147254284769	1.85274571523102
128	15	13.7497978236777	1.25020217632227
129	14	14.2278008067746	-0.227800806774587
130	11	14.1436702402446	-3.14367024024461
131	13	13.3640389609928	-0.364038960992756
132	17	14.2609059787287	2.73909402127134
133	14	14.0765134210577	-0.0765134210576972
134	16	14.2913735814371	1.70862641856286
135	15	13.4168596020822	1.5831403979178
136	12	14.6198854357763	-2.61988543577625
137	16	13.4678849966581	2.53211500334189
138	8	13.5081582576609	-5.50815825766091
139	9	13.5887047796665	-4.58870477966652
140	13	14.3683360589184	-1.36833605891838
141	19	14.147254284769	4.85274571523102
142	11	14.1132026375361	-3.11320263753613
143	15	13.8169546428646	1.18304535713535
144	11	13.6889667708075	-2.6889667708075
145	15	13.7122662844672	1.28773371553275
146	16	13.5645629432747	2.43543705672527
147	15	14.2877895369128	0.712210463087231
148	12	14.4516243027163	-2.4516243027163
149	16	13.7319817536026	2.26801824639737
150	15	13.8805274175272	1.1194725824728
151	13	13.6620832126234	-0.66208321262339
152	14	14.3280627979156	-0.328062797915572
153	11	14.3173106643425	-3.31731066434247
154	15	14.2206327177259	0.779367282274147
155	12	14.2206327177259	-2.22063271772585
156	16	14.458792391765	1.54120760823496
157	14	14.3818299142838	-0.381829914283797
158	13	14.5393389137706	-1.53933891377064
159	15	14.3844674835294	0.615532516470613

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.916517523601469	0.166964952797062	0.0834824763985309
9	0.947372526293377	0.105254947413245	0.0526274737066226
10	0.906062222104135	0.187875555791731	0.0939377778958654
11	0.884606109401722	0.230787781196555	0.115393890598278
12	0.883347980075297	0.233304039849406	0.116652019924703
13	0.836677860798444	0.326644278403112	0.163322139201556
14	0.85693756150765	0.286124876984701	0.143062438492351
15	0.89490763454055	0.210184730918899	0.10509236545945
16	0.863093954267721	0.273812091464559	0.136906045732279
17	0.82586762552428	0.34826474895144	0.17413237447572
18	0.800217885568126	0.399564228863747	0.199782114431874
19	0.834995014443003	0.330009971113995	0.165004985556998
20	0.792486806636305	0.415026386727389	0.207513193363695
21	0.777714137306805	0.444571725386391	0.222285862693195
22	0.719917908880198	0.560164182239603	0.280082091119802
23	0.670032370889255	0.65993525822149	0.329967629110745
24	0.611331729166522	0.777336541666955	0.388668270833478
25	0.544785478162984	0.910429043674032	0.455214521837016
26	0.503321410480371	0.993357179039257	0.496678589519629
27	0.437740585393837	0.875481170787673	0.562259414606163
28	0.391533267929411	0.783066535858822	0.608466732070589
29	0.331184622399546	0.662369244799092	0.668815377600454
30	0.313580239863103	0.627160479726207	0.686419760136897
31	0.323429932146693	0.646859864293387	0.676570067853307
32	0.27035051728106	0.54070103456212	0.72964948271894
33	0.230468590545967	0.460937181091934	0.769531409454033
34	0.322007754801385	0.64401550960277	0.677992245198615
35	0.274025129205287	0.548050258410574	0.725974870794713
36	0.359808797767573	0.719617595535146	0.640191202232427
37	0.382725791807669	0.765451583615339	0.617274208192331
38	0.370136583145373	0.740273166290746	0.629863416854627
39	0.47776340014141	0.95552680028282	0.52223659985859
40	0.429625123233833	0.859250246467666	0.570374876766167
41	0.419256151543545	0.83851230308709	0.580743848456455
42	0.368636316717372	0.737272633434743	0.631363683282628
43	0.325748296610064	0.651496593220129	0.674251703389935
44	0.33198685848625	0.6639737169725	0.66801314151375
45	0.289478072417788	0.578956144835576	0.710521927582212
46	0.323481610925858	0.646963221851716	0.676518389074142
47	0.424545918115704	0.849091836231408	0.575454081884296
48	0.425383058522936	0.850766117045872	0.574616941477064
49	0.421756134302929	0.843512268605859	0.57824386569707
50	0.509425426204262	0.981149147591477	0.490574573795738
51	0.465342307862578	0.930684615725156	0.534657692137422
52	0.419761037623067	0.839522075246134	0.580238962376933
53	0.429913916518165	0.859827833036329	0.570086083481835
54	0.44714670558422	0.89429341116844	0.55285329441578
55	0.425658581965752	0.851317163931503	0.574341418034248
56	0.433957776362046	0.867915552724092	0.566042223637954
57	0.387820064001914	0.775640128003829	0.612179935998086
58	0.408939149126727	0.817878298253454	0.591060850873273
59	0.501511900303274	0.996976199393451	0.498488099696726
60	0.504589789138352	0.990820421723295	0.495410210861648
61	0.463450044664814	0.926900089329629	0.536549955335186
62	0.428588363192715	0.85717672638543	0.571411636807285
63	0.799421445298274	0.401157109403453	0.200578554701726
64	0.830380424672391	0.339239150655218	0.169619575327609
65	0.80808229851113	0.383835402977739	0.19191770148887
66	0.887600543145031	0.224798913709938	0.112399456854969
67	0.86467580047022	0.27064839905956	0.13532419952978
68	0.863729878175724	0.272540243648552	0.136270121824276
69	0.8376304634058	0.3247390731884	0.1623695365942
70	0.936693753796136	0.126612492407728	0.063306246203864
71	0.92102137547445	0.157957249051101	0.0789786245255505
72	0.936372352282055	0.12725529543589	0.063627647717945
73	0.922779750546855	0.154440498906289	0.0772202494531447
74	0.917863483532581	0.164273032934837	0.0821365164674187
75	0.928480306360818	0.143039387278363	0.0715196936391817
76	0.917789390320111	0.164421219359778	0.0822106096798892
77	0.907875650721738	0.184248698556524	0.0921243492782619
78	0.890627115969184	0.218745768061633	0.109372884030816
79	0.878312893407238	0.243374213185524	0.121687106592762
80	0.870480131458969	0.259039737082063	0.129519868541031
81	0.854978485769694	0.290043028460611	0.145021514230306
82	0.868858332848172	0.262283334303656	0.131141667151828
83	0.852419815625732	0.295160368748536	0.147580184374268
84	0.849451805490875	0.301096389018249	0.150548194509125
85	0.82231201524778	0.355375969504439	0.17768798475222
86	0.795007874246348	0.409984251507304	0.204992125753652
87	0.811288686415557	0.377422627168886	0.188711313584443
88	0.898368733751902	0.203262532496197	0.101631266248098
89	0.87776762478371	0.24446475043258	0.12223237521629
90	0.879232842098237	0.241534315803526	0.120767157901763
91	0.853889150319081	0.292221699361837	0.146110849680919
92	0.845359838889697	0.309280322220607	0.154640161110303
93	0.821408113636772	0.357183772726456	0.178591886363228
94	0.791421022875315	0.417157954249369	0.208578977124685
95	0.825677146565666	0.348645706868668	0.174322853434334
96	0.819935091654255	0.36012981669149	0.180064908345745
97	0.867476457762478	0.265047084475043	0.132523542237522
98	0.849142658061848	0.301714683876305	0.150857341938152
99	0.819064092145169	0.361871815709663	0.180935907854831
100	0.787642842778139	0.424714314443723	0.212357157221861
101	0.754873882968361	0.490252234063277	0.245126117031639
102	0.732267766843857	0.535464466312285	0.267732233156143
103	0.690731308927555	0.61853738214489	0.309268691072445
104	0.663906938662599	0.672186122674802	0.336093061337401
105	0.626170906696004	0.747658186607992	0.373829093303996
106	0.677594507198714	0.644810985602572	0.322405492801286
107	0.702871830847811	0.594256338304377	0.297128169152189
108	0.663509025844355	0.67298194831129	0.336490974155645
109	0.617991123574527	0.764017752850945	0.382008876425473
110	0.589116021044608	0.821767957910784	0.410883978955392
111	0.576889895286914	0.846220209426172	0.423110104713086
112	0.543039848363538	0.913920303272923	0.456960151636462
113	0.496101054169217	0.992202108338435	0.503898945830783
114	0.452291978944344	0.904583957888689	0.547708021055656
115	0.560465441414001	0.879069117171999	0.439534558585999
116	0.510079153245433	0.979841693509133	0.489920846754567
117	0.46879670482731	0.93759340965462	0.53120329517269
118	0.431530500634597	0.863061001269193	0.568469499365403
119	0.38169861407142	0.76339722814284	0.61830138592858
120	0.422745488060726	0.845490976121452	0.577254511939274
121	0.405170925519302	0.810341851038604	0.594829074480698
122	0.376569251821813	0.753138503643627	0.623430748178187
123	0.340681348365251	0.681362696730502	0.659318651634749
124	0.388106285661167	0.776212571322333	0.611893714338833
125	0.336460137349904	0.672920274699807	0.663539862650096
126	0.29094044545937	0.581880890918739	0.70905955454063
127	0.2665275499981	0.5330550999962	0.7334724500019
128	0.260730144878905	0.52146028975781	0.739269855121095
129	0.214346600186301	0.428693200372602	0.785653399813699
130	0.253678798959335	0.507357597918669	0.746321201040665
131	0.216672020448312	0.433344040896624	0.783327979551688
132	0.290937562704582	0.581875125409163	0.709062437295418
133	0.239408110844986	0.478816221689972	0.760591889155014
134	0.215117530589269	0.430235061178537	0.784882469410731
135	0.181471441509914	0.362942883019827	0.818528558490086
136	0.165480410388757	0.330960820777514	0.834519589611243
137	0.164937782707484	0.329875565414968	0.835062217292516
138	0.476222437355046	0.952444874710092	0.523777562644954
139	0.859887949042942	0.280224101914115	0.140112050957058
140	0.809836111669372	0.380327776661256	0.190163888330628
141	0.910818177961916	0.178363644076169	0.0891818220380843
142	0.903204872824901	0.193590254350198	0.0967951271750989
143	0.872065869438474	0.255868261123052	0.127934130561526
144	0.954454594383692	0.0910908112326162	0.0455454056163081
145	0.923872916414025	0.152254167171949	0.0761270835859746
146	0.87744831030936	0.245103379381281	0.122551689690641
147	0.827099380666134	0.345801238667731	0.172900619333866
148	0.812638334909077	0.374723330181846	0.187361665090923
149	0.715085480478561	0.569829039042878	0.284914519521439
150	0.586387073309303	0.827225853381395	0.413612926690697
151	0.417021280550932	0.834042561101863	0.582978719449068

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	1	0.00694444444444444	OK