Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 5.48495180027817 -0.566537820428668Tijd[t] + 0.0888510006565018FindingFriends[t] + 0.246617500855063KnowingPeople[t] + 0.354441237808493Liked[t] + 0.614549687191414Celebrity[t] + 0.00409598796722313t + 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)	5.48495180027817	5.872612	0.934	0.351821	0.17591
Tijd	-0.566537820428668	0.62376	-0.9083	0.365206	0.182603
FindingFriends	0.0888510006565018	0.09708	0.9152	0.361547	0.180774
KnowingPeople	0.246617500855063	0.061755	3.9935	0.000102	5.1e-05
Liked	0.354441237808493	0.097772	3.6252	0.000396	0.000198
Celebrity	0.614549687191414	0.157303	3.9068	0.000141	7.1e-05
t	0.00409598796722313	0.006547	0.6256	0.532503	0.266251

Multiple Linear Regression - Regression Statistics
Multiple R	0.708574818609038
R-squared	0.502078273566831
Adjusted R-squared	0.482027734247374
F-TEST (value)	25.0406368411062
F-TEST (DF numerator)	6
F-TEST (DF denominator)	149
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.11349919739364
Sum Squared Residuals	665.564949750152

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.4493005779774	1.55069942202258
2	12	11.1139399345406	0.886060065459391
3	15	13.6046773252320	1.39532267476802
4	12	10.8690698570334	1.13093014296659
5	10	10.7328784232224	-0.732878423222412
6	12	9.30016577336313	2.69983422663687
7	15	16.8120661324904	-1.81206613249044
8	9	10.5549362021007	-1.55493620210074
9	12	12.3622084060586	-0.362208406058635
10	11	8.08805219420388	2.91194780579612
11	11	13.4707777534905	-2.47077775349052
12	11	12.1548607661610	-1.15486076616096
13	15	12.3342023327471	2.66579766725292
14	7	11.3582728698806	-4.35827286988064
15	11	11.7128219657639	-0.712821965763871
16	11	11.0809391075487	-0.080939107548653
17	10	12.1753407059971	-2.17534070599707
18	14	14.4948206479620	-0.494820647962019
19	10	8.81578859004646	1.18421140995354
20	6	9.66659805271479	-3.66659805271479
21	11	8.83494414151905	2.16505585848095
22	15	14.5246955483588	0.475304451641231
23	11	11.7741034737558	-0.774103473755758
24	12	9.63400200615606	2.36599799384394
25	14	13.5490198509636	0.450980149036398
26	15	15.0208235534099	-0.0208235534099302
27	9	14.7917929890499	-5.79179298904995
28	13	12.6991778620013	0.300822137998718
29	13	13.4066745378164	-0.40667453781642
30	16	10.9685191482399	5.03148085176006
31	13	8.6682657080432	4.3317342919568
32	12	13.7679219517575	-1.76792195175751
33	14	14.6586024166547	-0.658602416654726
34	11	10.2750578596743	0.724942140325664
35	9	10.6655278772158	-1.66552787721577
36	16	14.4607246944186	1.53927530558140
37	12	13.0739666779120	-1.07396667791195
38	10	9.39937554684417	0.600624453155834
39	13	13.2708951809932	-0.270895180993161
40	16	15.4460995712874	0.553900428712596
41	14	13.1213206567290	0.878679343270954
42	15	8.33339209869503	6.66660790130497
43	5	9.96488783097495	-4.96488783097495
44	8	10.7213645052177	-2.72136450521770
45	11	11.4613248658576	-0.46132486585763
46	16	14.0219405209086	1.97805947909143
47	17	13.2901721362031	3.70982786379691
48	9	8.68891750505838	0.311082494941622
49	9	12.2040703717639	-3.20407037176385
50	13	14.9613607644247	-1.96136076442472
51	10	11.1893405295608	-1.18934052956077
52	6	12.1176382280635	-6.11763822806347
53	12	12.0972087416691	-0.097208741669074
54	8	10.1458438012161	-2.14584380121614
55	14	12.0864279813066	1.91357201869341
56	12	12.1594394688159	-0.159439468815874
57	11	10.5236075287601	0.47639247123994
58	16	14.1610378457643	1.83896215423566
59	8	10.0504908433400	-2.05049084334004
60	15	14.9749724587311	0.0250275412689427
61	7	9.2055247919868	-2.20552479198679
62	16	13.7350923239857	2.26490767601425
63	14	13.5036053369317	0.496394663068334
64	16	13.5156395353621	2.48436046463794
65	9	9.69122011455888	-0.691220114558882
66	14	12.0426328482895	1.95736715171046
67	11	12.8000722873498	-1.80007228734981
68	13	10.2166785812851	2.78332141871488
69	15	12.6694704993826	2.33052950061737
70	5	5.33798232973368	-0.337982329733683
71	15	12.2208792883242	2.77912071167578
72	13	12.0672087760929	0.932791223907117
73	11	11.8436599995020	-0.843659999501972
74	11	13.8212268873688	-2.82122688736877
75	12	12.2697269250179	-0.2697269250179
76	12	13.1913774168633	-1.19137741686331
77	12	12.0687159796321	-0.0687159796320693
78	12	11.7363807012702	0.263619298729785
79	14	10.6026847382052	3.39731526179479
80	6	7.821122636654	-1.821122636654
81	7	9.6553767376676	-2.65537673766761
82	14	11.8351711012090	2.16482889879098
83	14	13.7012870436927	0.298712956307269
84	10	11.0909823908679	-1.09098239086794
85	13	8.56397600063496	4.43602399936504
86	12	12.2268945568184	-0.226894556818366
87	9	9.12883669005252	-0.128836690052520
88	12	11.9041370541928	0.0958629458071936
89	16	14.8471386089255	1.15286139107453
90	10	10.0966246304262	-0.096624630426239
91	14	12.9942024448653	1.00579755513467
92	10	13.3837096975892	-3.38370969758925
93	16	15.1855001137781	0.814499886221934
94	15	13.3340206998154	1.66597930018461
95	12	11.2248892591639	0.775110740836106
96	10	9.60899282022252	0.391007179777477
97	8	10.1203456514868	-2.1203456514868
98	8	8.4904273709585	-0.4904273709585
99	11	12.7778964250540	-1.77789642505395
100	13	12.3032111246564	0.696788875343581
101	16	15.3760345177144	0.623965482285588
102	16	14.6213052668195	1.37869473318048
103	14	15.7451122840439	-1.74511228404394
104	11	8.81853900850769	2.18146099149231
105	4	6.89814409500296	-2.89814409500296
106	14	14.4624436400695	-0.462443640069505
107	9	10.3105319775397	-1.31053197753974
108	14	15.1715798811578	-1.17157988115777
109	8	10.4265476904276	-2.42654769042761
110	8	10.8864641005702	-2.88646410057018
111	11	12.1570740424550	-1.15707404245501
112	12	13.5979786682488	-1.59797866824875
113	11	11.3699889648101	-0.369988964810069
114	14	13.5626724335247	0.437327566475344
115	15	14.2891418456367	0.710858154363276
116	16	13.3741896718492	2.62581032815083
117	16	13.4671366604729	2.53286333952711
118	11	12.7004101189267	-1.70041011892673
119	14	13.7219461372624	0.278053862737596
120	14	10.9593567720081	3.04064322799188
121	12	11.4067449984403	0.59325500155966
122	14	12.5685684385542	1.43143156144577
123	8	10.2317922333446	-2.2317922333446
124	13	13.8312770777550	-0.831277077755021
125	16	13.7465220650657	2.25347793493426
126	12	10.9165108581460	1.08348914185401
127	16	15.4460783901449	0.553921609855059
128	12	13.4043687911589	-1.40436879115892
129	11	11.5598648228419	-0.5598648228419
130	4	6.41852874211252	-2.41852874211252
131	16	15.4624623420138	0.537537657986166
132	15	12.5920492398061	2.40795076019388
133	10	11.5327505640522	-1.53275056405225
134	13	13.2402081918155	-0.240208191815495
135	15	13.2942469430278	1.70575305697215
136	12	10.7283323153835	1.2716676846165
137	14	13.7068229200159	0.293177079984082
138	7	10.7540033697383	-3.75400336973829
139	19	14.1583071344154	4.84169286558464
140	12	12.7690926952146	-0.76909269521461
141	12	12.3862837605486	-0.386283760548553
142	13	13.5695363596535	-0.569536359653473
143	15	13.0534154488549	1.94658455114514
144	8	8.34892705400389	-0.348927054003887
145	12	11.0118137079436	0.98818629205643
146	10	10.8541550658197	-0.854155065819745
147	8	11.4957616071678	-3.4957616071678
148	10	14.4617240280899	-4.46172402808988
149	15	14.0025922764777	0.997407723522341
150	16	14.6926098738725	1.30739012612755
151	13	13.2844226983748	-0.284422698374774
152	16	15.1805459029892	0.819454097010831
153	9	10.3546718723613	-1.35467187236130
154	14	13.3021924500455	0.697807549954485
155	14	12.8250507269539	1.17494927304612
156	12	10.3399779392073	1.66002206079275

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.0741712171667625	0.148342434333525	0.925828782833238
11	0.112202301095871	0.224404602191742	0.887797698904129
12	0.0741244480892257	0.148248896178451	0.925875551910774
13	0.551140337566569	0.897719324866862	0.448859662433431
14	0.721848220248342	0.556303559503315	0.278151779751658
15	0.655715183066684	0.688569633866633	0.344284816933316
16	0.580082450484022	0.839835099031956	0.419917549515978
17	0.494046717222321	0.988093434444641	0.505953282777679
18	0.457164118630552	0.914328237261104	0.542835881369448
19	0.398702691806448	0.797405383612896	0.601297308193552
20	0.527646011800372	0.944707976399257	0.472353988199628
21	0.527310648948094	0.945378702103813	0.472689351051906
22	0.566379806582869	0.867240386834263	0.433620193417131
23	0.503524519147538	0.992950961704923	0.496475480852462
24	0.517815059112432	0.964369881775137	0.482184940887568
25	0.491173905781173	0.982347811562347	0.508826094218827
26	0.434174203378595	0.86834840675719	0.565825796621405
27	0.665506774401732	0.668986451196536	0.334493225598268
28	0.617299688975276	0.765400622049447	0.382700311024724
29	0.562210370549315	0.875579258901371	0.437789629450685
30	0.724856060399248	0.550287879201505	0.275143939600752
31	0.815272135970578	0.369455728058845	0.184727864029422
32	0.781849336375504	0.436301327248993	0.218150663624496
33	0.73713017621658	0.52573964756684	0.26286982378342
34	0.700991496824609	0.598017006350782	0.299008503175391
35	0.70754766997187	0.58490466005626	0.29245233002813
36	0.711411276126	0.577177447747999	0.288588723873999
37	0.680668306625127	0.638663386749746	0.319331693374873
38	0.629960901945593	0.740078196108814	0.370039098054407
39	0.576764139013112	0.846471721973775	0.423235860986888
40	0.546327939559265	0.90734412088147	0.453672060440735
41	0.503426595810007	0.993146808379986	0.496573404189993
42	0.760193257406362	0.479613485187277	0.239806742593638
43	0.955199677249064	0.0896006455018713	0.0448003227509357
44	0.966171914935365	0.0676561701292693	0.0338280850646347
45	0.955673579790998	0.0886528404180045	0.0443264202090022
46	0.960283165639154	0.0794336687216919	0.0397168343608460
47	0.98249463097523	0.0350107380495389	0.0175053690247694
48	0.978626268770566	0.0427474624588676	0.0213737312294338
49	0.9830455852271	0.033908829545799	0.0169544147728995
50	0.978879152705956	0.0422416945880871	0.0211208472940435
51	0.97430177395400	0.0513964520919977	0.0256982260459989
52	0.989925402143615	0.0201491957127703	0.0100745978563851
53	0.992519880838565	0.0149602383228694	0.00748011916143468
54	0.991164592609655	0.0176708147806899	0.00883540739034496
55	0.994908677893344	0.0101826442133122	0.00509132210665612
56	0.993470720982195	0.0130585580356100	0.00652927901780498
57	0.991211645067473	0.0175767098650537	0.00878835493252685
58	0.991508942778104	0.0169821144437913	0.00849105722189564
59	0.992613299721703	0.0147734005565943	0.00738670027829715
60	0.99122780368389	0.0175443926322215	0.00877219631611077
61	0.991493443936462	0.0170131121270769	0.00850655606353845
62	0.99331276136589	0.0133744772682205	0.00668723863411024
63	0.991397378134413	0.0172052437311733	0.00860262186558665
64	0.992450240136325	0.0150995197273493	0.00754975986367465
65	0.990096362028706	0.0198072759425878	0.0099036379712939
66	0.989566390431926	0.0208672191361473	0.0104336095680737
67	0.989265419238058	0.0214691615238844	0.0107345807619422
68	0.991261034079185	0.0174779318416295	0.00873896592081476
69	0.99158391175856	0.0168321764828785	0.00841608824143925
70	0.988635618904562	0.0227287621908753	0.0113643810954376
71	0.99045338502367	0.0190932299526586	0.0095466149763293
72	0.98748207428565	0.0250358514286988	0.0125179257143494
73	0.984225920503106	0.0315481589937888	0.0157740794968944
74	0.988480271248361	0.0230394575032776	0.0115197287516388
75	0.98446794834342	0.031064103313159	0.0155320516565795
76	0.981763138190198	0.0364737236196037	0.0182368618098018
77	0.976039476331006	0.0479210473379888	0.0239605236689944
78	0.968474997917452	0.0630500041650965	0.0315250020825482
79	0.979911528836039	0.0401769423279225	0.0200884711639613
80	0.979051045490935	0.0418979090181291	0.0209489545090645
81	0.982441884988268	0.0351162300234634	0.0175581150117317
82	0.983310438131075	0.0333791237378504	0.0166895618689252
83	0.977691230126222	0.0446175397475563	0.0223087698737782
84	0.972682221381389	0.0546355572372218	0.0273177786186109
85	0.992596794742124	0.0148064105157528	0.0074032052578764
86	0.989797392071149	0.0204052158577029	0.0102026079288514
87	0.98628477793078	0.0274304441384386	0.0137152220692193
88	0.98218367226876	0.0356326554624804	0.0178163277312402
89	0.977885466648729	0.0442290667025428	0.0221145333512714
90	0.971191399152196	0.0576172016956074	0.0288086008478037
91	0.966093146569196	0.0678137068616084	0.0339068534308042
92	0.979256530494548	0.0414869390109042	0.0207434695054521
93	0.973176766043085	0.0536464679138295	0.0268232339569148
94	0.96963095479708	0.0607380904058385	0.0303690452029192
95	0.962474782729718	0.0750504345405634	0.0375252172702817
96	0.953952927856277	0.0920941442874463	0.0460470721437232
97	0.949820090992317	0.100359818015365	0.0501799090076827
98	0.937088820835008	0.125822358329984	0.0629111791649919
99	0.931970141655347	0.136059716689306	0.0680298583446528
100	0.918071441069307	0.163857117861385	0.0819285589306927
101	0.898329928577223	0.203340142845555	0.101670071422777
102	0.884123545874621	0.231752908250757	0.115876454125379
103	0.88616665796714	0.22766668406572	0.11383334203286
104	0.924474543313484	0.151050913373033	0.0755254566865163
105	0.921545875976543	0.156908248046914	0.0784541240234568
106	0.900678625503464	0.198642748993072	0.0993213744965358
107	0.879656537389574	0.240686925220852	0.120343462610426
108	0.870054808590735	0.259890382818530	0.129945191409265
109	0.865998093532728	0.268003812934544	0.134001906467272
110	0.889364476303296	0.221271047393409	0.110635523696704
111	0.878953946591296	0.242092106817408	0.121046053408704
112	0.916753704637318	0.166492590725365	0.0832462953626823
113	0.89301023524797	0.213979529504059	0.106989764752029
114	0.867185372220987	0.265629255558026	0.132814627779013
115	0.836867795364546	0.326264409270908	0.163132204635454
116	0.830879687750082	0.338240624499836	0.169120312249918
117	0.834685476689381	0.330629046621238	0.165314523310619
118	0.827651400084535	0.34469719983093	0.172348599915465
119	0.789342118736039	0.421315762527923	0.210657881263961
120	0.838035114338567	0.323929771322866	0.161964885661433
121	0.807463655315766	0.385072689368469	0.192536344684234
122	0.781633839476693	0.436732321046615	0.218366160523307
123	0.767836747529315	0.46432650494137	0.232163252470685
124	0.723150216700639	0.553699566598723	0.276849783299361
125	0.722966162521897	0.554067674956206	0.277033837478103
126	0.711175056042909	0.577649887914182	0.288824943957091
127	0.65220729612298	0.69558540775404	0.34779270387702
128	0.613090521765875	0.77381895646825	0.386909478234125
129	0.627141908039979	0.745716183920041	0.372858091960021
130	0.628583444228252	0.742833111543497	0.371416555771748
131	0.572747829282612	0.854504341434777	0.427252170717388
132	0.540323234254351	0.919353531491297	0.459676765745649
133	0.525914513137671	0.948170973724657	0.474085486862329
134	0.449145895515348	0.898291791030697	0.550854104484652
135	0.404058068115826	0.808116136231651	0.595941931884174
136	0.390644611089812	0.781289222179624	0.609355388910188
137	0.316892689001983	0.633785378003967	0.683107310998017
138	0.3827700494465	0.765540098893	0.6172299505535
139	0.752204540523978	0.495590918952044	0.247795459476022
140	0.755926579817525	0.48814684036495	0.244073420182475
141	0.707273400881692	0.585453198236616	0.292726599118308
142	0.621385605239751	0.757228789520498	0.378614394760249
143	0.544097586276402	0.911804827447195	0.455902413723598
144	0.417459848433508	0.834919696867016	0.582540151566492
145	0.477376684850801	0.954753369701602	0.522623315149199
146	0.617289921074538	0.765420157850924	0.382710078925462

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	41	0.299270072992701	NOK
10% type I error level	54	0.394160583941606	NOK