Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -0.0931214533089994 + 0.114501138766228FindingFriends[t] + 0.209268449968476KnowingPeople[t] + 0.358378633517791Liked[t] + 0.6165874587436Celebrity[t] + 0.213464699493470Sum_friends[t] + 0.104200617441747Day[t] -0.00667926178074984t + 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)	-0.0931214533089994	1.454348	-0.064	0.949033	0.474516
FindingFriends	0.114501138766228	0.097256	1.1773	0.240957	0.120479
KnowingPeople	0.209268449968476	0.064112	3.2641	0.001364	0.000682
Liked	0.358378633517791	0.097379	3.6803	0.000326	0.000163
Celebrity	0.6165874587436	0.157441	3.9163	0.000137	6.8e-05
Sum_friends	0.213464699493470	0.120726	1.7682	0.079093	0.039547
Day	0.104200617441747	0.195341	0.5334	0.594537	0.297269
t	-0.00667926178074984	0.011864	-0.563	0.5743	0.28715

Multiple Linear Regression - Regression Statistics
Multiple R	0.714498470884513
R-squared	0.510508064896307
Adjusted R-squared	0.487356419317078
F-TEST (value)	22.050616797379
F-TEST (DF numerator)	7
F-TEST (DF denominator)	148
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10259968841939
Sum Squared Residuals	654.296966561714

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.3582870168206	1.64171298317940
2	12	11.0012061344565	0.998793865543455
3	15	13.0808570548207	1.91914294517927
4	12	11.1202139688406	0.879786031159374
5	10	10.8808751034701	-0.880875103470149
6	12	9.17366708636009	2.82633291363991
7	15	16.8250435068735	-1.82504350687353
8	9	10.2555911878983	-1.25559118789830
9	12	12.5922472750568	-0.592247275056757
10	11	7.578661615368	3.421338384632
11	11	13.2156278980623	-2.21562789806234
12	11	12.0338923912738	-1.03389239127376
13	15	12.4110175472947	2.58898245270529
14	7	11.4390943772195	-4.43909437721946
15	11	11.5506970176144	-0.550697017614382
16	11	10.6206939935892	0.37930600641075
17	10	12.00049608237	-2.00049608237001
18	14	14.3633687152616	-0.363368715261566
19	10	8.61798772007608	1.38201227992392
20	6	9.28859807020295	-3.28859807020295
21	11	8.78943123505956	2.21056876494044
22	15	14.4897926608376	0.510207339162353
23	11	11.8807784634427	-0.880778463442691
24	12	9.62931451646761	2.37068548353239
25	14	13.0332503394640	0.96674966053602
26	15	14.6192074389008	0.380792561099205
27	9	14.4522001024089	-5.4522001024089
28	13	12.7281248223429	0.271875177657057
29	13	13.0256047590851	-0.0256047590850806
30	16	11.0871079957984	4.91289200420157
31	13	8.70115465537848	4.29884534462152
32	12	13.5917416372283	-1.59174163722834
33	14	14.7442866195091	-0.744286619509097
34	11	10.134743678041	0.865256321958994
35	9	10.4971170541950	-1.49711705419502
36	16	14.5158977540357	1.48410224596428
37	12	13.1546442317169	-1.15464423171687
38	10	9.60352781581116	0.396472184188844
39	13	12.933636402734	0.0663635972660046
40	16	15.6776114986676	0.322388501332421
41	14	13.0389752674637	0.961024732536281
42	15	8.02119594738316	6.97880405261684
43	5	9.687707501623	-4.6877075016230
44	8	10.2581480434579	-2.25814804345788
45	11	11.2795714987209	-0.279571498720851
46	16	13.8660439120551	2.13395608794487
47	17	14.3255148296850	2.67448517031504
48	9	8.20538251796126	0.794617482038739
49	9	11.404790027259	-2.40479002725901
50	13	14.4683384624023	-1.4683384624023
51	10	11.0845703504149	-1.08457035041494
52	6	12.4279802219199	-6.4279802219199
53	12	12.1686180693552	-0.168618069355242
54	8	10.5633636149327	-2.56336361493267
55	14	11.9071858015172	2.09281419848281
56	12	12.9480962096398	-0.948096209639807
57	11	10.6785175796478	0.321482420352153
58	16	14.6025309682863	1.39746903171370
59	8	10.5310501162415	-2.53105011624149
60	15	14.6298437582843	0.370156241715689
61	7	9.11471329121909	-2.11471329121909
62	16	14.2025600704264	1.79743992957359
63	14	13.1230313767364	0.876968623263592
64	16	13.3741480431991	2.62585195680089
65	9	10.4129896433215	-1.41298964332153
66	14	12.1461421821496	1.85385781785035
67	11	13.2431380445186	-2.2431380445186
68	13	10.3053296257660	2.69467037423397
69	15	13.2738218719797	1.72617812802031
70	5	5.85242053591145	-0.852420535911449
71	15	12.9521079003703	2.04789209962970
72	13	12.6371966278938	0.362803372106162
73	11	12.4558579609277	-1.45585796092770
74	11	14.1962017145182	-3.19620171451821
75	12	12.7954755737943	-0.795475573794256
76	12	13.4321392399579	-1.43213923995792
77	12	12.3557265747135	-0.355726574713532
78	12	11.9256518026510	0.0743481973490444
79	14	10.8589613213735	3.14103867862654
80	6	7.91196964212172	-1.91196964212172
81	7	9.70611238131443	-2.70611238131443
82	14	12.3550707022083	1.64492929779175
83	14	14.1409469688363	-0.140946968836333
84	10	11.1241982765507	-1.1241982765507
85	13	9.07120037449782	3.92879962550218
86	12	12.2801990780000	-0.280199077999961
87	9	9.36171217173182	-0.361712171731819
88	12	11.9333143311241	0.0666856688758652
89	16	14.8622073505445	1.13779264945548
90	10	10.4811648028871	-0.481164802887096
91	14	13.1369787431397	0.863021256860287
92	10	13.6131908972401	-3.61319089724007
93	16	15.5372489158858	0.462751084114163
94	15	13.3963793177822	1.60362068221781
95	12	11.4828928526639	0.517107147336102
96	10	9.34754918900215	0.652450810997852
97	8	10.0946873175326	-2.09468731753260
98	8	8.69138666096395	-0.691386660963952
99	11	12.6021489402075	-1.60214894020754
100	13	12.5389637747878	0.461036225212233
101	16	15.5785821328421	0.421417867157914
102	16	14.9094884763728	1.09051152362718
103	14	15.3685027353908	-1.36850273539084
104	11	8.96440667459719	2.03559332540281
105	4	7.05673560355099	-3.05673560355099
106	14	14.7124317109416	-0.712431710941592
107	9	10.517644906001	-1.51764490600101
108	14	15.2622351436140	-1.26223514361397
109	8	10.2264671670019	-2.22646716700188
110	8	10.6419821312154	-2.64198213121536
111	11	11.8648204608645	-0.864820460864535
112	12	13.1317405554262	-1.13174055542617
113	11	11.0788660907255	-0.078866090725452
114	14	13.2580194952846	0.741980504715392
115	15	14.4439672747837	0.556032725216287
116	16	13.4079790483945	2.59202095160549
117	16	12.8754068268996	3.12459317310043
118	11	12.7568035313305	-1.75680353133049
119	14	14.1386402507739	-0.138640250773902
120	14	10.7993282173183	3.20067178268169
121	12	11.4789934273150	0.521006572684956
122	14	12.4530956518678	1.54690434813222
123	8	10.7918791805510	-2.79187918055104
124	13	14.0062803811429	-1.00628038114291
125	16	13.8850999805959	2.11490001940407
126	12	10.5245584123814	1.47544158761858
127	16	15.3989404920953	0.601059507904733
128	12	12.652824763762	-0.652824763762011
129	11	11.3105192708351	-0.310519270835101
130	4	5.839463016272	-1.83946301627200
131	16	16.0126175434527	-0.0126175434526787
132	15	12.5241953264478	2.47580467355223
133	10	11.2099749876386	-1.20997498763857
134	13	13.8877219959662	-0.88772199596624
135	15	12.9728410638645	2.02715893613546
136	12	10.3240697517114	1.67593024828857
137	14	13.4769830009672	0.523016999032764
138	7	10.2770195532042	-3.27701955320419
139	19	13.8272401676380	5.17275983236197
140	12	12.8342534850819	-0.8342534850819
141	12	11.7452520712625	0.254747928737472
142	13	13.2395552988095	-0.239555298809516
143	15	12.2895289875902	2.71047101240979
144	8	8.70031081069254	-0.700310810692544
145	12	10.7908901625884	1.20910983741163
146	10	10.6628115577567	-0.662811557756726
147	8	11.1204961318578	-3.12049613185784
148	10	14.5375596268969	-4.53755962689691
149	15	13.7103009270085	1.28969907299154
150	16	14.0364090740864	1.96359092591364
151	13	13.3264786636824	-0.326478663682361
152	16	15.1372417911266	0.862758208873362
153	9	10.2535821517534	-1.25358215175342
154	14	13.4954473181394	0.504552681860618
155	14	13.5870642929889	0.412935707011149
156	12	10.5625930148834	1.43740698511655

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.231958474729755	0.463916949459511	0.768041525270245
12	0.144926878499410	0.289853756998819	0.85507312150059
13	0.676847826321099	0.646304347357802	0.323152173678901
14	0.807318199336137	0.385363601327726	0.192681800663863
15	0.742782021802478	0.514435956395044	0.257217978197522
16	0.656414369221807	0.687171261556385	0.343585630778193
17	0.569129259577527	0.861741480844947	0.430870740422473
18	0.543539522704408	0.912920954591184	0.456460477295592
19	0.45360871693986	0.90721743387972	0.54639128306014
20	0.591434890093033	0.817130219813935	0.408565109906967
21	0.610337566660822	0.779324866678355	0.389662433339178
22	0.636347047142489	0.727305905715023	0.363652952857511
23	0.564409575479091	0.871180849041818	0.435590424520909
24	0.567444251354572	0.865111497290856	0.432555748645428
25	0.521891571512487	0.956216856975026	0.478108428487513
26	0.456473442728911	0.912946885457823	0.543526557271089
27	0.693893229748837	0.612213540502326	0.306106770251163
28	0.650496333610283	0.699007332779433	0.349503666389717
29	0.596651717343825	0.80669656531235	0.403348282656175
30	0.758772132731623	0.482455734536755	0.241227867268377
31	0.836673446029359	0.326653107941282	0.163326553970641
32	0.803113508539584	0.393772982920832	0.196886491460416
33	0.759039376895389	0.481921246209222	0.240960623104611
34	0.728691071849608	0.542617856300783	0.271308928150392
35	0.721376945152427	0.557246109695146	0.278623054847573
36	0.719832316494101	0.560335367011798	0.280167683505899
37	0.693547896178377	0.612904207643246	0.306452103821623
38	0.645252439732475	0.70949512053505	0.354747560267525
39	0.596896456871879	0.806207086256243	0.403103543128121
40	0.553662719314778	0.892674561370444	0.446337280685222
41	0.513807182353511	0.972385635292978	0.486192817646489
42	0.790809631040228	0.418380737919543	0.209190368959772
43	0.957548178963805	0.0849036420723907	0.0424518210361953
44	0.961005488888202	0.0779890222235958	0.0389945111117979
45	0.94878108874027	0.102437822519459	0.0512189112597295
46	0.95566065786787	0.0886786842642597	0.0443393421321299
47	0.955224515339178	0.089550969321645	0.0447754846608225
48	0.945251632253793	0.109496735492414	0.0547483677462069
49	0.942739739691695	0.11452052061661	0.057260260308305
50	0.931630423448571	0.136739153102858	0.068369576551429
51	0.923581468992257	0.152837062015486	0.0764185310077431
52	0.988159847541786	0.0236803049164282	0.0118401524582141
53	0.984622234452902	0.0307555310941970	0.0153777655470985
54	0.987601730319476	0.0247965393610485	0.0123982696805243
55	0.992189652957987	0.0156206940840269	0.00781034704201347
56	0.989634898741058	0.0207302025178849	0.0103651012589424
57	0.985936141052105	0.0281277178957903	0.0140638589478951
58	0.984213422086923	0.0315731558261548	0.0157865779130774
59	0.989284773359341	0.0214304532813174	0.0107152266406587
60	0.988459649300983	0.0230807013980337	0.0115403506990168
61	0.988319144616754	0.0233617107664928	0.0116808553832464
62	0.988743927487976	0.0225121450240484	0.0112560725120242
63	0.987352491700388	0.0252950165992242	0.0126475082996121
64	0.98982289512479	0.0203542097504195	0.0101771048752097
65	0.988649527176445	0.0227009456471096	0.0113504728235548
66	0.987951804514628	0.0240963909707438	0.0120481954853719
67	0.988347892798583	0.0233042144028344	0.0116521072014172
68	0.99057491158924	0.0188501768215192	0.00942508841075962
69	0.990078949331199	0.0198421013376025	0.00992105066880124
70	0.986974553168644	0.0260508936627125	0.0130254468313562
71	0.987378870473506	0.0252422590529882	0.0126211295264941
72	0.983188289778963	0.0336234204420748	0.0168117102210374
73	0.9800777006504	0.0398445986991986	0.0199222993495993
74	0.986015334175165	0.0279693316496707	0.0139846658248354
75	0.981551648187315	0.0368967036253707	0.0184483518126854
76	0.978470707782516	0.0430585844349683	0.0215292922174841
77	0.971995017317036	0.0560099653659275	0.0280049826829638
78	0.963342174596101	0.0733156508077985	0.0366578254038992
79	0.976169347397683	0.0476613052046332	0.0238306526023166
80	0.974358599175678	0.0512828016486433	0.0256414008243217
81	0.977408000923024	0.0451839981539525	0.0225919990769763
82	0.977164289683699	0.045671420632603	0.0228357103163015
83	0.969734284664883	0.0605314306702333	0.0302657153351166
84	0.962622815080528	0.0747543698389448	0.0373771849194724
85	0.987965025446746	0.0240699491065081	0.0120349745532540
86	0.98378604879181	0.03242790241638	0.01621395120819
87	0.978264053560481	0.0434718928790378	0.0217359464395189
88	0.971950099547073	0.0560998009058536	0.0280499004529268
89	0.966947842813883	0.0661043143722335	0.0330521571861167
90	0.957445963570876	0.0851080728582472	0.0425540364291236
91	0.950347657270578	0.0993046854588444	0.0496523427294222
92	0.969220584161441	0.0615588316771171	0.0307794158385585
93	0.960649466407138	0.0787010671857232	0.0393505335928616
94	0.956677639974289	0.0866447200514228	0.0433223600257114
95	0.946568848012775	0.106862303974451	0.0534311519872253
96	0.935230355488208	0.129539289023585	0.0647696445117925
97	0.927949909159394	0.144100181681213	0.0720500908406064
98	0.910508466598297	0.178983066803407	0.0894915334017033
99	0.900359997607406	0.199280004785187	0.0996400023925936
100	0.880811326737012	0.238377346525977	0.119188673262988
101	0.854998882791285	0.290002234417429	0.145001117208715
102	0.834783564599055	0.33043287080189	0.165216435400945
103	0.836579419165006	0.326841161669987	0.163420580834994
104	0.888987667832238	0.222024664335523	0.111012332167762
105	0.88619232030717	0.227615359385658	0.113807679692829
106	0.859533103605805	0.280933792788390	0.140466896394195
107	0.832501423297284	0.334997153405431	0.167498576702715
108	0.82471888241522	0.350562235169562	0.175281117584781
109	0.816983430357943	0.366033139284113	0.183016569642057
110	0.837056268206856	0.325887463586287	0.162943731793144
111	0.82614132745682	0.347717345086359	0.173858672543179
112	0.883412890202103	0.233174219595794	0.116587109797897
113	0.854588541673337	0.290822916653326	0.145411458326663
114	0.831082758470782	0.337834483058436	0.168917241529218
115	0.79693925368071	0.40612149263858	0.20306074631929
116	0.785426192137445	0.429147615725109	0.214573807862555
117	0.786821097777057	0.426357804445885	0.213178902222943
118	0.789854032337384	0.420291935325232	0.210145967662616
119	0.748581867277772	0.502836265444455	0.251418132722228
120	0.793943506863747	0.412112986272507	0.206056493136253
121	0.75433919195016	0.491321616099681	0.245660808049840
122	0.7197070026217	0.560585994756598	0.280292997378299
123	0.717372545258142	0.565254909483716	0.282627454741858
124	0.677315790509525	0.645368418980951	0.322684209490475
125	0.660111497850825	0.679777004298351	0.339888502149175
126	0.641479430541531	0.717041138916937	0.358520569458469
127	0.577534188305695	0.84493162338861	0.422465811694305
128	0.546398743138503	0.907202513722994	0.453601256861497
129	0.548882644834061	0.902234710331877	0.451117355165939
130	0.563778420032804	0.872443159934393	0.436221579967196
131	0.505231785948185	0.98953642810363	0.494768214051815
132	0.460419743735638	0.920839487471276	0.539580256264362
133	0.444859617438533	0.889719234877066	0.555140382561467
134	0.372399455088229	0.744798910176459	0.62760054491177
135	0.319623803936112	0.639247607872224	0.680376196063888
136	0.301683126782112	0.603366253564223	0.698316873217888
137	0.234538290034389	0.469076580068778	0.765461709965611
138	0.321884958067844	0.643769916135687	0.678115041932156
139	0.705327897048977	0.589344205902047	0.294672102951023
140	0.661692581754983	0.676614836490035	0.338307418245017
141	0.594686867285913	0.810626265428175	0.405313132714087
142	0.493156672302713	0.986313344605427	0.506843327697287
143	0.42306968322476	0.84613936644952	0.57693031677524
144	0.297113493667415	0.59422698733483	0.702886506332585
145	0.527634846431587	0.944730307136827	0.472365153568413

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	31	0.229629629629630	NOK
10% type I error level	47	0.348148148148148	NOK