Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 3.49514166391521 -0.240396339657892Tijd[t] + 0.242393786561951KnowingPeople[t] + 0.365785984054008Liked[t] + 0.62160080454706Celebrity[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)	3.49514166391521	3.53926	0.9875	0.32496	0.16248
Tijd	-0.240396339657892	0.363679	-0.661	0.509611	0.254806
KnowingPeople	0.242393786561951	0.061463	3.9438	0.000122	6.1e-05
Liked	0.365785984054008	0.0971	3.7671	0.000236	0.000118
Celebrity	0.62160080454706	0.156427	3.9738	0.000109	5.5e-05

Multiple Linear Regression - Regression Statistics
Multiple R	0.705290485738547
R-squared	0.497434669273315
Adjusted R-squared	0.484121680379893
F-TEST (value)	37.3646123538115
F-TEST (DF numerator)	4
F-TEST (DF denominator)	151
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10922287268072
Sum Squared Residuals	671.771990122567

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.3451078252048	1.65489217479524
2	12	11.1339467149272	0.866053285072809
3	15	13.8224806178841	1.17751938211590
4	12	11.1473677488583	0.852632251141696
5	10	10.8871623199431	-0.88716231994308
6	12	9.28256533521712	2.71743466478288
7	15	16.7668293413340	-1.76682934133403
8	9	10.5079553019580	-1.50795530195797
9	12	12.3324946138059	-0.332494613805853
10	11	8.5644144010402	2.4355855989598
11	11	14.0604837960239	-3.06048379602387
12	11	12.1169428951061	-1.11694289510610
13	15	12.3415250393148	2.65847496068521
14	7	11.1161350725739	-4.11613507257393
15	11	11.5131537329123	-0.513153732912306
16	11	10.9927428750819	0.00725712491812329
17	10	12.1169428951061	-2.11694289510610
18	14	14.5496619775699	-0.549661977569941
19	10	8.80680818760215	1.19319181239785
20	6	10.0231677288341	-4.02316772883407
21	11	9.02675051472407	1.97324948527593
22	15	14.5630830115010	0.436916988498959
23	11	11.7333452686988	-0.73334526869883
24	12	9.53838015571017	2.46161984428983
25	14	13.4523040254079	0.547695974592085
26	15	15.0344495506938	-0.034449550693843
27	9	14.805476798063	-5.80547679806299
28	13	12.9540954183529	0.0459045816470873
29	13	13.5756962229000	-0.575696222899973
30	16	10.8781318944341	5.12186810556585
31	13	8.6834159901101	4.31658400988990
32	12	13.8315110433930	-1.83151104339302
33	14	14.5630830115010	-0.563083011501041
34	11	10.5123459103801	0.487654089619862
35	9	10.5079553019580	-1.50795530195797
36	16	14.4262697800779	1.57373021992212
37	12	12.9719070607062	-0.971907060706176
38	10	9.67080277871116	0.329197221288836
39	13	13.2099102388460	-0.209910238845964
40	16	15.4136565686790	0.586343431321049
41	14	12.967516452284	1.03248354771599
42	15	8.4319917780392	6.56800822196079
43	5	9.52495912177907	-4.52495912177907
44	8	10.6313474994500	-2.63134749945003
45	11	11.3897615354202	-0.389761535420249
46	16	13.9549032408851	2.04509675911492
47	17	13.1964892049149	3.80351079508514
48	9	8.1986284169862	0.801371583013807
49	9	12.103521861175	-3.103521861175
50	13	14.7920557641319	-1.79205576413189
51	10	11.0283661597884	-1.02836615978840
52	6	12.480335717642	-6.48033571764201
53	12	12.2289115055711	-0.228911505571119
54	8	10.2719495707222	-2.27194957072225
55	14	12.1055193080791	1.89448069192094
56	12	12.3479130946410	-0.347913094641013
57	11	10.8757387329160	0.124261267083957
58	16	14.551659424474	1.448340575526
59	8	10.2451075028600	-2.24510750286005
60	15	15.1866812629522	-0.186681262952160
61	7	9.28456278212118	-2.28456278212118
62	16	13.820087456366	2.17991254363402
63	14	13.8156968479438	0.18430315205618
64	16	13.7010858672961	2.29891413270391
65	9	10.0429768180914	-1.04297681809140
66	14	12.1055193080791	1.89448069192094
67	11	12.8461217016960	-1.84612170169602
68	13	10.2853706046533	2.71462939534665
69	15	12.7271201126261	2.27287988737388
70	5	5.13288494294826	-0.132884942948255
71	15	12.3479130946410	2.65208690535899
72	13	12.1055193080791	0.894480691920938
73	11	11.9865177190092	-0.986517719009168
74	11	14.4326578354041	-3.43265783540411
75	12	12.4847263260642	-0.484726326064171
76	12	13.2119076857500	-1.21190768575002
77	12	11.982127110587	0.0178728894129951
78	12	12.1055193080791	-0.105519308079062
79	14	10.6377355547763	3.36226444522374
80	6	7.81238842039621	-1.81238842039621
81	7	9.66376980010629	-2.66376980010629
82	14	12.3613341285721	1.63866587142789
83	14	13.8244780647881	0.175521935211853
84	10	11.2549457509012	-1.25494575090115
85	13	8.55738142243533	4.44261857756467
86	12	12.1189403420102	-0.118940342010162
87	9	9.17459161856022	-0.174591618560221
88	12	12.3523037030632	-0.352303703063177
89	16	14.9442874763902	1.05571252360979
90	10	10.1485573732302	-0.148557373230189
91	14	13.0972967051023	0.902703294897706
92	10	13.4586920807341	-3.45869208073414
93	16	15.1732602290211	0.82673977097894
94	15	13.4543014723120	1.54569852768802
95	12	11.2549457509012	0.745054249098849
96	10	9.54037760261423	0.45962239738577
97	8	10.5455760335686	-2.54557603356856
98	8	8.31059702745121	-0.310597027451210
99	11	13.0794850627490	-2.07948506274903
100	13	12.2423325395022	0.75766746049778
101	16	15.415654015583	0.584345984416989
102	16	14.5650804584051	1.4349195415949
103	14	15.5256251791440	-1.52562517914397
104	11	8.92316740648933	2.07683259351067
105	4	6.9618148632183	-2.96181486321830
106	14	14.3404983141964	-0.340498314196413
107	9	10.3775301258610	-1.37753012586104
108	14	15.1866812629522	-1.18668126295216
109	8	10.5009223233531	-2.5009223233531
110	8	11.2459153253922	-3.24591532539222
111	11	12.2289115055711	-1.22891150557112
112	12	13.8335084902971	-1.83350849029708
113	11	11.2727573932544	-0.272757393254415
114	14	13.4586920807341	0.541307919265861
115	15	14.2036850827733	0.796314917226744
116	16	13.3352998832421	2.66470011675792
117	16	13.3352998832421	2.66470011675792
118	11	12.6125091319784	-1.61250913197839
119	14	13.5776936698040	0.422306330195967
120	14	10.8757387329160	3.12426126708396
121	12	11.2415247169701	0.758475283029949
122	14	12.4669146837109	1.53308531628909
123	8	10.1485573732302	-2.14855737323019
124	13	13.5776936698040	-0.577693669804033
125	16	13.5776936698040	2.42230633019597
126	12	10.7745487861994	1.22545121380059
127	16	15.3100734604442	0.689926539555782
128	12	13.2119076857500	-1.21190768575002
129	11	11.7441239324472	-0.744123932447217
130	4	6.49508814111227	-2.49508814111227
131	16	15.3100734604442	0.689926539555782
132	15	12.4847263260642	2.51527367393583
133	10	11.3693075228843	-1.36930752288427
134	13	12.9739045076102	0.0260954923897635
135	15	13.0929060966801	1.90709390331987
136	12	10.5143433572842	1.48565664271580
137	14	13.5776936698040	0.422306330195967
138	7	10.4965317149309	-3.49653171493093
139	19	13.9434796538580	5.05652034614196
140	12	12.7136990786950	-0.713699078695022
141	12	12.2110998632179	-0.211099863217856
142	13	13.3352998832421	-0.335299883242082
143	15	12.8236702422560	2.17632975774402
144	8	8.1962352554681	-0.196235255468090
145	12	10.7567371438461	1.24326285615385
146	10	10.5455760335686	-0.545576033568562
147	8	11.2593363593233	-3.25933635932331
148	10	13.9434796538580	-3.94347965385804
149	15	13.820087456366	1.17991254363402
150	16	14.4594999032663	1.54050009673369
151	13	13.1063271306112	-0.106327130611230
152	16	14.9308664424591	1.06913355754089
153	9	10.1485573732302	-1.14855737323019
154	14	13.2162982941722	0.783701705827813
155	14	12.6037279151341	1.39627208486594
156	12	10.1217153053680	1.87828469463201

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.127514957262765	0.255029914525530	0.872485042737235
9	0.0635313000659471	0.127062600131894	0.936468699934053
10	0.0847751220823577	0.169550244164715	0.915224877917642
11	0.0433853298095546	0.0867706596191093	0.956614670190445
12	0.0196112708280225	0.039222541656045	0.980388729171978
13	0.346571630621525	0.69314326124305	0.653428369378475
14	0.696739602581205	0.606520794837589	0.303260397418795
15	0.621500725383042	0.756998549233916	0.378499274616958
16	0.530986057313098	0.938027885373805	0.469013942686902
17	0.487925986037719	0.975851972075437	0.512074013962281
18	0.406683686924412	0.813367373848825	0.593316313075588
19	0.332468526230137	0.664937052460273	0.667531473769863
20	0.59979977150374	0.80040045699252	0.40020022849626
21	0.531636574289975	0.93672685142005	0.468363425710025
22	0.498966590680976	0.997933181361951	0.501033409319024
23	0.429768269352671	0.859536538705343	0.570231730647329
24	0.416451148700541	0.832902297401083	0.583548851299459
25	0.383300093023595	0.76660018604719	0.616699906976405
26	0.327995456298815	0.65599091259763	0.672004543701185
27	0.598933898808472	0.802132202383057	0.401066101191528
28	0.538237336626264	0.923525326747471	0.461762663373736
29	0.478615444546823	0.957230889093645	0.521384555453177
30	0.648766198353575	0.70246760329285	0.351233801646425
31	0.773077836349461	0.453844327301079	0.226922163650539
32	0.736123722411629	0.527752555176742	0.263876277588371
33	0.69420877756902	0.61158244486196	0.30579122243098
34	0.649221804905754	0.701556390188493	0.350778195094246
35	0.63871822750469	0.72256354499062	0.36128177249531
36	0.657303729395	0.68539254121	0.342696270605
37	0.616163625580746	0.767672748838509	0.383836374419254
38	0.561773939453182	0.876452121093637	0.438226060546818
39	0.511722773396646	0.976554453206708	0.488277226603354
40	0.493674700182179	0.987349400364358	0.506325299817821
41	0.466213791791783	0.932427583583565	0.533786208208217
42	0.753477446875755	0.493045106248489	0.246522553124245
43	0.929115161530606	0.141769676938788	0.0708848384693939
44	0.943523597097611	0.112952805804777	0.0564764029023886
45	0.928463589076474	0.143072821847052	0.0715364109235262
46	0.934605231571096	0.130789536857808	0.065394768428904
47	0.969734025086922	0.0605319498261568	0.0302659749130784
48	0.96700997644179	0.0659800471164207	0.0329900235582103
49	0.97097436446139	0.0580512710772196	0.0290256355386098
50	0.96414648588855	0.0717070282228996	0.0358535141114498
51	0.957311057493635	0.0853778850127303	0.0426889425063651
52	0.984679798943632	0.0306404021127369	0.0153202010563684
53	0.987727911814627	0.0245441763707453	0.0122720881853727
54	0.985144503303812	0.0297109933923761	0.0148554966961881
55	0.991225500085354	0.0175489998292923	0.00877449991464617
56	0.98900185190436	0.0219962961912814	0.0109981480956407
57	0.985630062633828	0.0287398747323433	0.0143699373661716
58	0.986278567389698	0.0274428652206048	0.0137214326103024
59	0.98769075233253	0.0246184953349387	0.0123092476674693
60	0.985492872904674	0.0290142541906528	0.0145071270953264
61	0.98525408462663	0.0294918307467402	0.0147459153733701
62	0.988450982361008	0.023098035277983	0.0115490176389915
63	0.985841244351123	0.0283175112977535	0.0141587556488767
64	0.987678297997942	0.0246434040041154	0.0123217020020577
65	0.984176638557192	0.0316467228856153	0.0158233614428077
66	0.98379098611905	0.0324180277619016	0.0162090138809508
67	0.982565027399357	0.0348699452012865	0.0174349726006433
68	0.986342795345818	0.0273144093083631	0.0136572046541815
69	0.987192962559734	0.0256140748805327	0.0128070374402664
70	0.983343748871827	0.0333125022563462	0.0166562511281731
71	0.985894884806572	0.0282102303868554	0.0141051151934277
72	0.98194757604818	0.0361048479036409	0.0180524239518204
73	0.977584521953422	0.0448309560931568	0.0224154780465784
74	0.986884147637398	0.0262317047252046	0.0131158523626023
75	0.982613605666612	0.0347727886667765	0.0173863943333883
76	0.979350378079672	0.0412992438406559	0.0206496219203280
77	0.972830817223086	0.0543383655538287	0.0271691827769143
78	0.964643581992183	0.070712836015633	0.0353564180078165
79	0.978433634725952	0.0431327305480958	0.0215663652740479
80	0.97694291731598	0.0461141653680395	0.0230570826840197
81	0.979717148056942	0.0405657038861164	0.0202828519430582
82	0.977449898054504	0.0451002038909926	0.0225501019454963
83	0.970418781515412	0.0591624369691754	0.0295812184845877
84	0.964729758704368	0.0705404825912636	0.0352702412956318
85	0.99112269684952	0.0177546063009617	0.00887730315048086
86	0.987842174579449	0.0243156508411029	0.0121578254205514
87	0.983718378002019	0.0325632439959624	0.0162816219979812
88	0.978274473297597	0.0434510534048054	0.0217255267024027
89	0.972923364811018	0.0541532703779631	0.0270766351889815
90	0.96475448192464	0.0704910361507215	0.0352455180753608
91	0.957065297745902	0.085869404508196	0.042934702254098
92	0.975831050007902	0.0483378999841951	0.0241689499920975
93	0.96920579020948	0.0615884195810413	0.0307942097905206
94	0.963939016715154	0.0721219665696915	0.0360609832848457
95	0.954982518197891	0.090034963604217	0.0450174818021086
96	0.945075036472616	0.109849927054767	0.0549249635273837
97	0.946072682890616	0.107854634218769	0.0539273171093843
98	0.93265195346162	0.134696093076761	0.0673480465383807
99	0.935925548281581	0.128148903436838	0.0640744517184188
100	0.921476855227734	0.157046289544533	0.0785231447722663
101	0.90370584138813	0.192588317223740	0.0962941586118698
102	0.888096787549133	0.223806424901734	0.111903212450867
103	0.893902365293411	0.212195269413177	0.106097634706589
104	0.921301947231	0.157396105538000	0.0786980527689998
105	0.920507876708337	0.158984246583325	0.0794921232916627
106	0.900521600571826	0.198956798856349	0.0994783994281743
107	0.883589442658997	0.232821114682007	0.116410557341003
108	0.882534610109942	0.234930779780115	0.117465389890058
109	0.886036146040042	0.227927707919916	0.113963853959958
110	0.916446589682532	0.167106820634935	0.0835534103174675
111	0.906060678089456	0.187878643821088	0.0939393219105441
112	0.91673274941309	0.166534501173820	0.0832672505869099
113	0.893831387320111	0.212337225359778	0.106168612679889
114	0.867545852904492	0.264908294191017	0.132454147095508
115	0.837536278829772	0.324927442340456	0.162463721170228
116	0.84319490888362	0.313610182232762	0.156805091116381
117	0.849763058830443	0.300473882339113	0.150236941169556
118	0.836667664596908	0.326664670806185	0.163332335403092
119	0.800000724658608	0.399998550682785	0.199999275341392
120	0.854803327722928	0.290393344554144	0.145196672277072
121	0.823976274679679	0.352047450640642	0.176023725320321
122	0.79928108298358	0.401437834032842	0.200718917016421
123	0.788373598192652	0.423252803614696	0.211626401807348
124	0.755906450122305	0.488187099755389	0.244093549877695
125	0.750807158949071	0.498385682101858	0.249192841050929
126	0.728737454402369	0.542525091195262	0.271262545597631
127	0.675550849494946	0.648898301010108	0.324449150505054
128	0.657244110423703	0.685511779152594	0.342755889576297
129	0.601329681796972	0.797340636406055	0.398670318203028
130	0.561866495788193	0.876267008423613	0.438133504211807
131	0.49779025060864	0.99558050121728	0.50220974939136
132	0.505926457895498	0.988147084209005	0.494073542104502
133	0.459710424868903	0.919420849737805	0.540289575131097
134	0.390644325090296	0.781288650180593	0.609355674909704
135	0.3549824839198	0.7099649678396	0.6450175160802
136	0.331670677023814	0.663341354047628	0.668329322976186
137	0.264956720477079	0.529913440954157	0.735043279522921
138	0.381306222063638	0.762612444127276	0.618693777936362
139	0.67663021674644	0.64673956650712	0.32336978325356
140	0.613069329603474	0.773861340793051	0.386930670396526
141	0.543317412468145	0.91336517506371	0.456682587531855
142	0.456154993704211	0.912309987408423	0.543845006295789
143	0.405471703876934	0.810943407753868	0.594528296123066
144	0.312551990742469	0.625103981484937	0.687448009257531
145	0.248839834498755	0.49767966899751	0.751160165501245
146	0.176123282327660	0.352246564655319	0.82387671767234
147	0.209021068295575	0.418042136591151	0.790978931704425
148	0.848122652962786	0.303754694074427	0.151877347037214

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	35	0.24822695035461	NOK
10% type I error level	51	0.361702127659574	NOK