Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 1.70905089015761 -0.520810039433372Gender[t] + 0.0376773966790884Happiness[t] + 0.426493049447179Liked[t] + 0.93554501323377Celebrity[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)	1.70905089015761	1.699409	1.0057	0.31615	0.158075
Gender	-0.520810039433372	0.370385	-1.4061	0.1617	0.08085
Happiness	0.0376773966790884	0.077883	0.4838	0.629236	0.314618
Liked	0.426493049447179	0.097686	4.3659	2.3e-05	1.2e-05
Celebrity	0.93554501323377	0.148498	6.3	0	0

Multiple Linear Regression - Regression Statistics
Multiple R	0.678310490940214
R-squared	0.460105122119554
Adjusted R-squared	0.446081878538244
F-TEST (value)	32.8101782909031
F-TEST (DF numerator)	4
F-TEST (DF denominator)	154
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.22173210448981
Sum Squared Residuals	760.15840579459

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	12.9110815231266	2.08891847687345
2	12	9.44013097825671	2.55986902174329
3	15	12.7037323431031	2.29626765689694
4	12	11.0282334210122	0.971766578987806
5	14	11.1035882143704	2.89641178562964
6	8	7.49605271441626	0.503947285583741
7	11	10.4699929814767	0.530007018523322
8	15	9.13842819449359	5.86157180550641
9	4	7.21790269570018	-3.21790269570017
10	13	10.9528786276540	2.04712137234598
11	19	13.8017450187000	5.19825498130003
12	10	12.9487589198056	-2.94875891980561
13	15	16.9146367968300	-1.91463679682995
14	6	11.3488984014033	-5.34889840140334
15	7	9.71563083065712	-2.71563083065712
16	14	12.2772392936559	1.72276070634412
17	16	12.8167645331403	3.18323546685968
18	16	15.0507508913436	0.949249108656351
19	14	16.1746828879729	-2.17468288797286
20	15	13.5943958386765	1.40560416132349
21	14	14.7749674286128	-0.774967428612823
22	12	11.0023140999799	0.99768590002011
23	9	8.31136141663153	0.688638583368469
24	12	9.52003972628044	2.47996027371956
25	14	13.7640676220209	0.235932377979124
26	12	12.8357267297683	-0.83572672976834
27	14	14.1905606714681	-0.190560671468056
28	10	12.8357267297683	-2.83572672976834
29	14	12.4469110770002	1.55308892299975
30	16	14.6242578418965	1.37574215810353
31	10	10.2246827944437	-0.224682794443708
32	8	10.4932621361933	-2.4932621361933
33	8	9.89709730340175	-1.89709730340175
34	12	12.08856869993	-0.088568699930013
35	11	12.9110815231265	-1.91108152312652
36	8	9.8666240277039	-1.86662402770390
37	13	12.8544419298194	0.145558070180587
38	11	10.1421238801043	0.857876119895703
39	12	9.23249818790283	2.76750181209717
40	16	12.7414097397821	3.25859026021785
41	16	13.8394224153791	2.16057758462095
42	13	14.1905606714681	-1.19056067146806
43	14	15.5974802518093	-1.59748025180933
44	5	5.04776005178519	-0.047760051785188
45	14	13.1679027892293	0.832097210770673
46	13	8.75681666270673	4.24318333729327
47	16	14.9753960979855	1.02460390201453
48	15	12.8544419298194	2.14555807018059
49	15	12.8544419298194	2.14555807018059
50	15	14.0398510847517	0.960148915248298
51	11	12.4020295593399	-1.40202955933993
52	15	12.9110815231265	2.08891847687348
53	16	13.2245423825364	2.77545761746357
54	13	12.4773843526981	0.522615647301896
55	11	11.9637784342460	-0.963778434245965
56	12	13.363493893606	-1.36349389360600
57	12	12.7908452121080	-0.790845212108018
58	10	13.8394224153791	-3.83942241537905
59	8	12.7226945397311	-4.72269453973108
60	9	9.08899272216771	-0.088992722167713
61	12	11.9755365098927	0.0244634901072524
62	14	12.8167645331403	1.18323546685968
63	12	12.6096623496938	-0.60966234969381
64	11	10.5945362505838	0.405463749416217
65	14	14.4850593342500	-0.485059334249955
66	7	10.2057205978157	-3.20572059781569
67	16	13.714632149695	2.28536785030499
68	16	15.9486185078983	0.0513814921016704
69	11	12.3525940870141	-1.35259408701406
70	16	13.9644962913935	2.03550370860647
71	13	13.7263902253418	-0.726390225341788
72	11	12.2513199726236	-1.25131997262357
73	11	12.4020295593399	-1.40202955933993
74	13	12.9487589198056	0.0512410801943945
75	14	12.5599432670375	1.44005673296249
76	15	12.3571480416796	2.64285195832039
77	10	9.6357220826334	0.364277917366609
78	15	15.6351576484884	-0.635157648488416
79	11	13.6697506320347	-2.66975063203468
80	6	8.35359276797617	-2.35359276797617
81	11	9.20657886687053	1.79342113312947
82	12	10.3684718705093	1.63152812949075
83	13	12.8167645331403	0.183235466859676
84	12	13.6510354319836	-1.65103543198361
85	8	11.8435421232275	-3.84354212322747
86	9	10.6134984472118	-1.6134984472118
87	10	12.3948254383587	-2.39482543835869
88	16	13.4882841592900	2.51171584070995
89	15	11.9755365098927	3.02446349010725
90	14	12.0014558309251	1.99854416907495
91	12	13.8089491396812	-1.80894913968120
92	12	12.5222658703584	-0.522265870358426
93	10	9.33401929887026	0.66598070112974
94	12	11.0399914966590	0.960008503341022
95	8	8.37951208900848	-0.379512089008474
96	16	15.5221254584511	0.47787454154885
97	11	9.44705148890752	1.55294851109248
98	12	10.9646367033008	1.0353632966992
99	9	11.9378591132137	-2.93785911321366
100	14	11.4170490737803	2.58295092621971
101	15	14.1411251991422	0.858874800857815
102	8	10.4061492671883	-2.40614926718834
103	12	12.3643521626608	-0.364352162660839
104	10	10.4887081815278	-0.488708181527751
105	16	15.6351576484884	0.364842351511585
106	17	12.2513199726236	4.74868002737642
107	8	9.35036794293607	-1.35036794293607
108	9	11.5490434604456	-2.54904346044557
109	8	11.8553001988742	-3.85530019887425
110	11	11.8812195199066	-0.881219519906555
111	16	15.1637830813809	0.836216918619086
112	13	12.7037323431031	0.296267656896941
113	5	9.64027603729894	-4.64027603729894
114	5	9.64027603729894	-4.64027603729894
115	15	11.2355826010357	3.76441739896435
116	15	12.8734041264474	2.12659587355257
117	12	11.4736886670874	0.526311332912609
118	12	11.9261010375669	0.0738989624331232
119	16	15.0884282880227	0.911571711977263
120	12	12.9864363164847	-0.986436316484694
121	10	12.3715562836421	-2.37155628364207
122	12	12.4397069560190	-0.439706956019016
123	4	7.20155405163436	-3.20155405163436
124	11	12.6283775497449	-1.62837754974488
125	16	13.1679027892293	2.83209721077067
126	7	9.15714339454466	-2.15714339454466
127	9	10.2246827944437	-1.22468279444371
128	14	10.0926884077784	3.90731159222157
129	11	10.1493280010855	0.85067199891447
130	10	11.3983338737292	-1.39833387372921
131	6	9.59084056497307	-3.59084056497307
132	14	12.9864363164847	1.01356368351531
133	11	12.4469110770002	-1.44691107700025
134	11	10.6511758438909	0.348824156109113
135	9	14.1788025958213	-5.17880259582127
136	16	11.3534523560689	4.64654764393111
137	7	10.1303658044575	-3.13036580445751
138	8	9.8289466310248	-1.82894663102481
139	10	9.8666240277039	0.133375972296104
140	14	11.9001817165346	2.09981828346543
141	9	10.3377149844810	-1.33771498448097
142	13	13.6959169496439	-0.695916949643932
143	13	9.15714339454466	3.84285660545534
144	12	11.7305099331902	0.269490066809799
145	11	12.3077125693537	-1.30771256935374
146	10	13.2809349792666	-3.28093497926659
147	12	11.9755365098927	0.0244634901072524
148	14	14.0775284814308	-0.0775284814307909
149	11	14.1339210781610	-3.13392107816095
150	13	9.58363644399184	3.41636355600816
151	14	12.7414097397821	1.25859026021785
152	13	11.9378591132137	1.06214088678634
153	16	15.9109411112192	0.0890588887807586
154	13	12.9110815231265	0.0889184768734832
155	13	12.7980493330893	0.201950666910748
156	12	11.5041619427852	0.495838057214754
157	9	10.0667690867461	-1.06676908674612
158	14	11.3911297527480	2.60887024725202
159	15	15.1261056847018	-0.126105684701826

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.117022957898373	0.234045915796746	0.882977042101627
9	0.875366583629224	0.249266832741552	0.124633416370776
10	0.802551585273372	0.394896829453257	0.197448414726628
11	0.734949577844629	0.530100844310742	0.265050422155371
12	0.968578613028364	0.0628427739432728	0.0314213869716364
13	0.98403103272071	0.0319379345585824	0.0159689672792912
14	0.99417027796259	0.0116594440748220	0.00582972203741101
15	0.999062426282993	0.00187514743401420	0.000937573717007098
16	0.99853068465497	0.00293863069005988	0.00146931534502994
17	0.998339730237715	0.00332053952457045	0.00166026976228523
18	0.997074946244829	0.00585010751034249	0.00292505375517124
19	0.997104559857467	0.00579088028506654	0.00289544014253327
20	0.995284404932728	0.00943119013454411	0.00471559506727206
21	0.99281570916122	0.0143685816775592	0.00718429083877958
22	0.98883095930083	0.0223380813983411	0.0111690406991705
23	0.983205700327352	0.0335885993452967	0.0167942996726483
24	0.977424849491003	0.0451503010179941	0.0225751505089970
25	0.96746811863414	0.0650637627317203	0.0325318813658601
26	0.95576316783957	0.0884736643208616	0.0442368321604308
27	0.941320574005848	0.117358851988303	0.0586794259941517
28	0.945249370793865	0.109501258412269	0.0547506292061347
29	0.939046536322016	0.121906927355968	0.060953463677984
30	0.92698408508488	0.146031829830242	0.073015914915121
31	0.905729281849082	0.188541436301836	0.0942707181509178
32	0.930295372965562	0.139409254068875	0.0697046270344377
33	0.937805397924414	0.124389204151172	0.0621946020755861
34	0.918691650731514	0.162616698536972	0.081308349268486
35	0.911488671307599	0.177022657384802	0.088511328692401
36	0.90773899285847	0.184522014283062	0.0922610071415309
37	0.883469923515087	0.233060152969826	0.116530076484913
38	0.856375240960171	0.287249518079658	0.143624759039829
39	0.851335171620405	0.297329656759191	0.148664828379595
40	0.868670213505928	0.262659572988144	0.131329786494072
41	0.858789211223208	0.282421577553585	0.141210788776792
42	0.839056042324372	0.321887915351255	0.160943957675628
43	0.81838956786289	0.363220864274221	0.181610432137111
44	0.782317908081396	0.435364183837208	0.217682091918604
45	0.744808915077059	0.510382169845882	0.255191084922941
46	0.844764155966944	0.310471688066113	0.155235844033056
47	0.820776518847311	0.358446962305378	0.179223481152689
48	0.807364719695337	0.385270560609326	0.192635280304663
49	0.793319725094214	0.413360549811572	0.206680274905786
50	0.7626882569182	0.474623486163599	0.237311743081800
51	0.743655959445945	0.512688081108109	0.256344040554055
52	0.733682640081382	0.532634719837236	0.266317359918618
53	0.75174017257826	0.496519654843479	0.248259827421739
54	0.712382546095195	0.575234907809609	0.287617453904805
55	0.686651430100419	0.626697139799163	0.313348569899581
56	0.666233751375146	0.667532497249708	0.333766248624854
57	0.631056372599224	0.737887254801551	0.368943627400776
58	0.724615423157843	0.550769153684315	0.275384576842157
59	0.838655591402943	0.322688817194113	0.161344408597057
60	0.81000860078246	0.37998279843508	0.18999139921754
61	0.77600339851182	0.447993202976359	0.223996601488180
62	0.747617946993527	0.504764106012945	0.252382053006473
63	0.709716575109862	0.580566849780276	0.290283424890138
64	0.673163237289821	0.653673525420358	0.326836762710179
65	0.635024654597792	0.729950690804416	0.364975345402208
66	0.695239939247145	0.60952012150571	0.304760060752855
67	0.696311079300799	0.607377841398403	0.303688920699201
68	0.654113201425619	0.691773597148762	0.345886798574381
69	0.628325508472785	0.743348983054429	0.371674491527214
70	0.618048880023651	0.763902239952697	0.381951119976349
71	0.578137140176232	0.843725719647537	0.421862859823768
72	0.547577107396785	0.90484578520643	0.452422892603215
73	0.520491409120933	0.959017181758134	0.479508590879067
74	0.473927790411028	0.947855580822055	0.526072209588972
75	0.447415693071004	0.894831386142009	0.552584306928996
76	0.458441692224173	0.916883384448346	0.541558307775827
77	0.416014915873465	0.83202983174693	0.583985084126535
78	0.374292380859551	0.748584761719102	0.625707619140449
79	0.396706954186317	0.793413908372633	0.603293045813683
80	0.405014205360689	0.810028410721378	0.594985794639311
81	0.386009849411029	0.772019698822058	0.613990150588971
82	0.367776307524758	0.735552615049516	0.632223692475242
83	0.325972129870440	0.651944259740881	0.67402787012956
84	0.307705024709621	0.615410049419242	0.692294975290379
85	0.389537865200776	0.779075730401552	0.610462134799224
86	0.367984576987833	0.735969153975667	0.632015423012167
87	0.381145271822431	0.762290543644862	0.618854728177569
88	0.386824936398778	0.773649872797557	0.613175063601222
89	0.421446176483536	0.842892352967073	0.578553823516464
90	0.420074183145019	0.840148366290039	0.57992581685498
91	0.402563266601944	0.805126533203887	0.597436733398056
92	0.359871696975684	0.719743393951368	0.640128303024316
93	0.323280474406548	0.646560948813095	0.676719525593452
94	0.28891493009873	0.57782986019746	0.71108506990127
95	0.253656707305723	0.507313414611446	0.746343292694277
96	0.218510624712279	0.437021249424558	0.78148937528772
97	0.208844183137506	0.417688366275013	0.791155816862494
98	0.182765456296621	0.365530912593243	0.817234543703379
99	0.204346503768907	0.408693007537814	0.795653496231093
100	0.225566710237538	0.451133420475076	0.774433289762462
101	0.199167906032606	0.398335812065212	0.800832093967394
102	0.198020401087853	0.396040802175706	0.801979598912147
103	0.167137896918016	0.334275793836033	0.832862103081984
104	0.140371081071323	0.280742162142646	0.859628918928677
105	0.115582205368704	0.231164410737407	0.884417794631296
106	0.209591281930237	0.419182563860475	0.790408718069763
107	0.187814953103796	0.375629906207593	0.812185046896204
108	0.191263475835972	0.382526951671944	0.808736524164028
109	0.284031868428463	0.568063736856926	0.715968131571537
110	0.246470342853927	0.492940685707855	0.753529657146073
111	0.211889819730184	0.423779639460369	0.788110180269815
112	0.180780518813185	0.36156103762637	0.819219481186815
113	0.342790929841416	0.685581859682831	0.657209070158584
114	0.609279198907792	0.781441602184415	0.390720801092208
115	0.751779282318004	0.496441435363992	0.248220717681996
116	0.766588350435933	0.466823299128134	0.233411649564067
117	0.72520975837673	0.549580483246539	0.274790241623270
118	0.72795971074073	0.544080578518541	0.272040289259271
119	0.691855951710108	0.616288096579784	0.308144048289892
120	0.645133594206722	0.709732811586557	0.354866405793278
121	0.630936070767471	0.738127858465057	0.369063929232529
122	0.583614054114862	0.832771891770275	0.416385945885138
123	0.55692229139687	0.88615541720626	0.44307770860313
124	0.512723574855681	0.974552850288638	0.487276425144319
125	0.624890680187594	0.750218639624812	0.375109319812406
126	0.631786475527553	0.736427048944894	0.368213524472447
127	0.604508421057932	0.790983157884137	0.395491578942068
128	0.80804921762646	0.383901564747079	0.191950782373540
129	0.763576541013386	0.472846917973227	0.236423458986614
130	0.761443254183278	0.477113491633445	0.238556745816722
131	0.805153809288102	0.389692381423796	0.194846190711898
132	0.808165453549723	0.383669092900554	0.191834546450277
133	0.764737477192736	0.470525045614527	0.235262522807264
134	0.70999673880831	0.58000652238338	0.29000326119169
135	0.759956160363853	0.480087679272294	0.240043839636147
136	0.819343116746409	0.361313766507182	0.180656883253591
137	0.862167460937796	0.275665078124408	0.137832539062204
138	0.928283007140865	0.143433985718270	0.0717169928591349
139	0.953727572548835	0.0925448549023303	0.0462724274511651
140	0.938301300443195	0.123397399113610	0.0616986995568051
141	0.921551108157321	0.156897783685358	0.0784488918426788
142	0.909246049310076	0.181507901379847	0.0907539506899236
143	0.927534833496354	0.144930333007292	0.0724651665036461
144	0.903614532554572	0.192770934890857	0.0963854674454284
145	0.860348007396059	0.279303985207882	0.139651992603941
146	0.890826746733686	0.218346506532627	0.109173253266314
147	0.827137103277276	0.345725793445449	0.172862896722724
148	0.732200605162746	0.535598789674508	0.267799394837254
149	0.88396256534339	0.232074869313221	0.116037434656610
150	0.838449023503258	0.323101952993484	0.161550976496742
151	0.697398140280238	0.605203719439523	0.302601859719762

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	6	0.0416666666666667	NOK
5% type I error level	12	0.0833333333333333	NOK
10% type I error level	16	0.111111111111111	NOK