Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -0.340957140032513 + 0.117850045256176FindingFriends[t] + 0.240882362067202KnowingPeople[t] + 0.372073239661236Liked[t] + 0.610915345027388Celebrity[t] -0.0436536294476874B[t] + 0.171832293382581`2B`[t] + 0.50219147193765`3B`[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)	-0.340957140032513	1.464149	-0.2329	0.816184	0.408092
FindingFriends	0.117850045256176	0.096374	1.2228	0.223335	0.111668
KnowingPeople	0.240882362067202	0.061604	3.9102	0.00014	7e-05
Liked	0.372073239661236	0.096858	3.8414	0.000181	9e-05
Celebrity	0.610915345027388	0.156335	3.9077	0.000141	7.1e-05
B	-0.0436536294476874	0.223131	-0.1956	0.845159	0.42258
`2B`	0.171832293382581	0.268543	0.6399	0.523248	0.261624
`3B`	0.50219147193765	0.3164	1.5872	0.1146	0.0573

Multiple Linear Regression - Regression Statistics
Multiple R	0.71619317008086
R-squared	0.512932656870472
Adjusted R-squared	0.489895687938669
F-TEST (value)	22.2656313158620
F-TEST (DF numerator)	7
F-TEST (DF denominator)	148
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.09738583856901
Sum Squared Residuals	651.056048662812

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	13.2594883031844	1.74051169681561
2	12	11.6688023556528	0.331197644347162
3	9	11.0616188314191	-2.06161883141909
4	10	11.8533203318800	-1.85332033187998
5	13	12.9665637616355	0.0334362383644707
6	16	14.9954367711845	1.00456322881554
7	14	12.7071582956756	1.29284170432438
8	16	13.7004754990430	2.29952450095704
9	10	10.780099399138	-0.780099399138002
10	8	10.6958000083271	-2.69580000832711
11	12	12.1756216380116	-0.17562163801157
12	15	15.0370501439311	-0.0370501439310942
13	14	10.8248213283287	3.17517867167135
14	14	12.7605463922875	1.23945360771248
15	12	13.0142551684585	-1.01425516845848
16	12	11.1245549415964	0.875445058403585
17	10	9.53676931596236	0.463230684037638
18	4	6.74363584746519	-2.74363584746519
19	14	15.2088824373137	-1.20888243731368
20	15	14.1934109976195	0.806589002380488
21	16	13.3201138974041	2.67988610259594
22	12	10.6936304507346	1.30636954926538
23	12	12.0901246465663	-0.0901246465662737
24	12	11.2648719913569	0.735128008643112
25	12	11.3503689828022	0.649631017197816
26	12	12.0982832073493	-0.0982832073492817
27	11	8.31865301132818	2.68134698867182
28	11	12.9332746752975	-1.93327467529754
29	11	11.9814989958149	-0.981498995814874
30	11	11.6257428777197	-0.625742877719653
31	11	11.2842440032755	-0.284244003275542
32	11	8.46465260739433	2.53534739260567
33	15	14.1852524368365	0.814747563163496
34	15	14.6690574176720	0.330942582328041
35	9	14.4261347989037	-5.42613479890371
36	16	10.6529890349461	5.34701096505393
37	13	9.03070556516912	3.96929443483088
38	9	10.2157627727163	-1.21576277271628
39	16	14.0561018159435	1.94389818405648
40	12	12.7286576887965	-0.728657688796485
41	15	8.85403969284014	6.14596030715986
42	5	9.65147734636474	-4.65147734636474
43	11	11.2691805282920	-0.269180528291985
44	17	13.0885881970575	3.91141180294252
45	9	8.96635877393301	0.0336412260669907
46	13	14.5460251008609	-1.54602510086093
47	16	14.1924749650924	1.80752503490760
48	16	13.8018786215385	2.19812137846154
49	14	14.343904777629	-0.343904777628993
50	16	13.5306834623614	2.46931653763857
51	11	12.8168497801488	-1.81684978014879
52	11	11.8687014209189	-0.868701420918887
53	11	13.7292333448507	-2.72923334485071
54	12	12.2305758430961	-0.230575843096065
55	12	13.8192931556826	-1.81929315568257
56	12	12.0829021183104	-0.0829021183103738
57	14	13.7055279694032	0.294472030596849
58	10	10.9193976374449	-0.919397637444864
59	9	9.39051061781011	-0.390510617810112
60	12	12.2715659514931	-0.271565951493069
61	10	10.0318748724346	-0.0318748724346230
62	14	12.9828808832015	1.01711911679846
63	8	9.94996681078992	-1.94996681078992
64	16	14.5003312147122	1.49966878528780
65	14	15.7231004033153	-1.72310040331527
66	14	10.7545219586362	3.24547804136377
67	12	11.2444452435536	0.755554756446358
68	14	13.3994925847674	0.600507415232604
69	7	11.1327091568048	-4.13270915680476
70	19	13.9330694991325	5.0669305008675
71	15	12.8424296866718	2.15757031332825
72	8	11.2639043799735	-3.26390437997346
73	10	14.2866196349010	-4.28661963490102
74	13	12.9593412333796	0.040658766620371
75	13	11.2331446679168	1.76685533208317
76	10	10.3937492946118	-0.393749294611801
77	12	9.057044848529	2.94295515147099
78	15	17.3038760808146	-2.30387608081459
79	7	11.0644184649571	-4.06441846495707
80	14	14.1872926935376	-0.187292693537555
81	10	8.43389042931651	1.56610957068349
82	6	9.70389833189643	-3.70389833189643
83	11	11.2566306516474	-0.256630651647377
84	12	9.29588695389516	2.70411304610484
85	14	14.1933059636853	-0.193305963685324
86	12	13.3232559122579	-1.32325591225786
87	14	14.3031024820927	-0.303102482092681
88	11	10.0658729421299	0.934127057870083
89	10	9.27282579787636	0.72717420212364
90	13	13.3323820844243	-0.332382084424295
91	8	10.2727572345018	-2.27275723450183
92	9	11.7375105433249	-2.73751054332485
93	6	12.0912264047190	-6.09122640471902
94	12	13.1881631426699	-1.18816314266988
95	14	12.2140929959044	1.78590700409559
96	11	10.5188218681239	0.481178131876122
97	8	10.6256841059207	-2.62568410592072
98	7	9.2979272105962	-2.29792721059621
99	9	10.5302990994509	-1.53029909945087
100	14	12.1807679851354	1.81923201486456
101	13	10.2788755385838	2.72112446141622
102	15	12.7071582956756	2.29284170432438
103	5	5.35466983018371	-0.354669830183714
104	15	12.2601466724988	2.73985332750122
105	13	12.2680752440308	0.731924755969187
106	12	11.6248427696235	0.375157230376473
107	6	7.7895202723255	-1.78952027232549
108	7	9.6679601935564	-2.66796019355640
109	13	8.5752801243946	4.4247198756054
110	16	14.9243464457988	1.07565355420121
111	10	13.3334547297419	-3.33345472974192
112	16	15.1569404458883	0.843059554111679
113	15	13.1941052913649	1.80589470863513
114	8	8.43074841446271	-0.430748414462711
115	11	12.6098716110132	-1.6098716110132
116	13	13.2430819236266	-0.243081923626610
117	16	15.2363191332517	0.763680866748341
118	11	8.71165327354349	2.28834672645651
119	14	14.4404116637687	-0.440411663768672
120	9	10.2414724804339	-1.24147248043391
121	8	10.2881383235407	-2.28813832354073
122	8	11.1352322528836	-3.13523225288359
123	11	11.9044264788345	-0.904426478834539
124	12	13.3284381838127	-1.32843818381271
125	11	11.0872496054817	-0.0872496054816577
126	14	14.6275200122560	-0.627520012255973
127	11	12.7034912388105	-1.70349123881052
128	14	12.3289667519324	1.67103324806757
129	13	14.7677542830899	-1.76775428308994
130	12	10.7821396558391	1.21786034416095
131	4	5.9790917331746	-1.97909173317460
132	15	12.9351423947771	2.06485760522290
133	10	11.3971355142685	-1.39713551426854
134	13	13.889592525375	-0.889592525374989
135	15	14.2117931431470	0.78820685685295
136	12	13.2757008911194	-1.27570089111944
137	13	13.3201138974041	-0.320113897404057
138	8	7.92246775127823	0.0775322487217653
139	10	10.5697598234316	-0.569759823431602
140	15	13.6840285762823	1.31597142371772
141	16	14.4322531029857	1.56774689701434
142	16	14.9160580838211	1.08394191617888
143	14	12.9747223224185	1.02527767758146
144	14	13.0884875086980	0.911512491302046
145	12	10.6663255217093	1.33367447829073
146	15	13.1331087495291	1.86689125047093
147	13	12.8681685072245	0.131831492775491
148	16	13.2022638521479	2.79773614785212
149	14	13.5609962594713	0.439003740528741
150	8	10.0318748724346	-2.03187487243462
151	16	13.7328285528538	2.26717144714616
152	16	15.9164612026538	0.0835387973461515
153	12	13.1889230198100	-1.18892301981002
154	11	12.2919572751686	-1.29195727516855
155	16	15.9164612026538	0.0835387973461515
156	9	10.0318748724346	-1.03187487243462

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.284051307091087	0.568102614182174	0.715948692908913
12	0.245727430543219	0.491454861086439	0.75427256945678
13	0.29353173045706	0.58706346091412	0.70646826954294
14	0.200301873794720	0.400603747589439	0.79969812620528
15	0.122471036879390	0.244942073758779	0.87752896312061
16	0.100241936937112	0.200483873874224	0.899758063062888
17	0.0787920615111763	0.157584123022353	0.921207938488824
18	0.122404801195032	0.244809602390065	0.877595198804968
19	0.217726660115611	0.435453320231222	0.782273339884389
20	0.157705740600971	0.315411481201941	0.84229425939903
21	0.180729143909594	0.361458287819187	0.819270856090406
22	0.132183218133251	0.264366436266503	0.867816781866748
23	0.100398762660240	0.200797525320481	0.89960123733976
24	0.0693045915398024	0.138609183079605	0.930695408460198
25	0.0524550747861	0.1049101495722	0.9475449252139
26	0.0399844851410996	0.0799689702821992	0.9600155148589
27	0.0598272896785519	0.119654579357104	0.940172710321448
28	0.117873532987169	0.235747065974338	0.88212646701283
29	0.0924615780623828	0.184923156124766	0.907538421937617
30	0.0710435295919273	0.142087059183855	0.928956470408073
31	0.0511602099616231	0.102320419923246	0.948839790038377
32	0.0445448488494242	0.0890896976988484	0.955455151150576
33	0.0314290206032636	0.0628580412065272	0.968570979396736
34	0.0221636447624367	0.0443272895248733	0.977836355237563
35	0.182673891948235	0.365347783896469	0.817326108051765
36	0.370520364808076	0.741040729616153	0.629479635191924
37	0.517377824332025	0.96524435133595	0.482622175667975
38	0.463128992742578	0.926257985485156	0.536871007257422
39	0.448216663904003	0.896433327808007	0.551783336095997
40	0.410821746628197	0.821643493256395	0.589178253371803
41	0.67543707611811	0.64912584776378	0.32456292388189
42	0.83048369887589	0.339032602248220	0.169516301124110
43	0.794627385763125	0.41074522847375	0.205372614236875
44	0.838687943829511	0.322624112340978	0.161312056170489
45	0.814755412473979	0.370489175052042	0.185244587526021
46	0.807766408362067	0.384467183275866	0.192233591637933
47	0.782548125491311	0.434903749017377	0.217451874508689
48	0.800990880896769	0.398018238206462	0.199009119103231
49	0.763095850256351	0.473808299487298	0.236904149743649
50	0.780973205457225	0.43805358908555	0.219026794542775
51	0.757082851342873	0.485834297314255	0.242917148657127
52	0.732128180570304	0.535743638859391	0.267871819429696
53	0.840312405860343	0.319375188279314	0.159687594139657
54	0.807639069993114	0.384721860013772	0.192360930006886
55	0.804379849877537	0.391240300244926	0.195620150122463
56	0.771275254083397	0.457449491833206	0.228724745916603
57	0.732268950888216	0.535462098223567	0.267731049111784
58	0.692192701073234	0.615614597853531	0.307807298926766
59	0.661194964219666	0.677610071560668	0.338805035780334
60	0.643311342893093	0.713377314213815	0.356688657106908
61	0.596418157142435	0.80716368571513	0.403581842857565
62	0.556013333143398	0.887973333713203	0.443986666856602
63	0.542967889044799	0.914064221910402	0.457032110955201
64	0.529285137670854	0.94142972465829	0.470714862329145
65	0.532017396777002	0.935965206445996	0.467982603222998
66	0.59681331504991	0.80637336990018	0.40318668495009
67	0.553289451310484	0.893421097379032	0.446710548689516
68	0.511645774274067	0.976708451451866	0.488354225725933
69	0.683911400116418	0.632177199767164	0.316088599883582
70	0.848082731355092	0.303834537289817	0.151917268644908
71	0.844598726118962	0.310802547762075	0.155401273881038
72	0.880829260934446	0.238341478131108	0.119170739065554
73	0.945459682436079	0.109080635127842	0.0545403175639211
74	0.931209910402905	0.137580179194191	0.0687900895970955
75	0.923540532707272	0.152918934585455	0.0764594672927277
76	0.905011951293936	0.189976097412127	0.0949880487060636
77	0.924134938512681	0.151730122974638	0.075865061487319
78	0.931767812511597	0.136464374976805	0.0682321874884027
79	0.9712456585068	0.0575086829863986	0.0287543414931993
80	0.962527467132067	0.0749450657358654	0.0374725328679327
81	0.959397438899141	0.0812051222017172	0.0406025611008586
82	0.979705144616339	0.0405897107673231	0.0202948553836615
83	0.97366612300419	0.0526677539916206	0.0263338769958103
84	0.979118139563039	0.0417637208739225	0.0208818604369612
85	0.972288022389231	0.0554239552215376	0.0277119776107688
86	0.96707085375872	0.0658582924825614	0.0329291462412807
87	0.957814810369911	0.084370379260177	0.0421851896300885
88	0.951104066106044	0.097791867787913	0.0488959338939565
89	0.951685559556256	0.0966288808874873	0.0483144404437436
90	0.93812715395344	0.123745692093120	0.0618728460465601
91	0.941002632309504	0.117994735380991	0.0589973676904957
92	0.952735318298961	0.0945293634020771	0.0472646817010386
93	0.996895006349853	0.00620998730029497	0.00310499365014748
94	0.995881007258283	0.00823798548343327	0.00411899274171664
95	0.994941390506184	0.0101172189876329	0.00505860949381645
96	0.993079541870508	0.0138409162589837	0.00692045812949187
97	0.993987535336127	0.0120249293277469	0.00601246466387344
98	0.994844267596645	0.0103114648067103	0.00515573240335515
99	0.993127132629945	0.0137457347401099	0.00687286737005495
100	0.991694414921074	0.0166111701578524	0.00830558507892618
101	0.994473981481246	0.0110520370375089	0.00552601851875444
102	0.994406558393622	0.0111868832127561	0.00559344160637807
103	0.992218014546987	0.0155639709060269	0.00778198545301344
104	0.994019349086544	0.0119613018269119	0.00598065091345594
105	0.991441415159986	0.0171171696800276	0.0085585848400138
106	0.988497672019068	0.0230046559618646	0.0115023279809323
107	0.987400062007216	0.0251998759855672	0.0125999379927836
108	0.991634893610155	0.0167302127796901	0.00836510638984506
109	0.999074212556893	0.00185157488621442	0.000925787443107208
110	0.998673665883945	0.00265266823211054	0.00132633411605527
111	0.99967486858687	0.000650262826258958	0.000325131413129479
112	0.9994564864295	0.00108702714100130	0.000543513570500648
113	0.999343629893177	0.00131274021364511	0.000656370106822554
114	0.998975461555968	0.0020490768880651	0.00102453844403255
115	0.998627048971347	0.00274590205730567	0.00137295102865284
116	0.997757061148465	0.00448587770306969	0.00224293885153484
117	0.996427913871057	0.00714417225788636	0.00357208612894318
118	0.999233399109725	0.00153320178054984	0.00076660089027492
119	0.998789316895924	0.00242136620815171	0.00121068310407586
120	0.998092158470971	0.00381568305805748	0.00190784152902874
121	0.99799259589696	0.00401480820608018	0.00200740410304009
122	0.99797816099537	0.00404367800925837	0.00202183900462918
123	0.997082162127155	0.00583567574569088	0.00291783787284544
124	0.997711406169992	0.00457718766001689	0.00228859383000844
125	0.996134091941121	0.00773181611775701	0.00386590805887851
126	0.994426372579375	0.0111472548412499	0.00557362742062494
127	0.992194127843947	0.0156117443121068	0.00780587215605338
128	0.988491859747252	0.0230162805054967	0.0115081402527483
129	0.994688008304048	0.0106239833919030	0.00531199169595151
130	0.996552633525974	0.0068947329480526	0.0034473664740263
131	0.994617201764243	0.0107655964715140	0.00538279823575701
132	0.993957923003745	0.0120841539925108	0.00604207699625538
133	0.990806264327314	0.0183874713453730	0.00919373567268648
134	0.98402298987255	0.0319540202548992	0.0159770101274496
135	0.9721622218108	0.055675556378399	0.0278377781891995
136	0.968542830349594	0.0629143393008116	0.0314571696504058
137	0.95735278762381	0.0852944247523814	0.0426472123761907
138	0.93483513122844	0.130329737543118	0.0651648687715592
139	0.921478877362845	0.157042245274310	0.0785211226371551
140	0.871929862311808	0.256140275376384	0.128070137688192
141	0.877114855021456	0.245770289957088	0.122885144978544
142	0.802854127032058	0.394291745935883	0.197145872967942
143	0.735516790175482	0.528966419649036	0.264483209824518
144	0.713612848629826	0.572774302740347	0.286387151370174
145	0.580909927333317	0.838180145333367	0.419090072666683

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	20	0.148148148148148	NOK
5% type I error level	45	0.333333333333333	NOK
10% type I error level	61	0.451851851851852	NOK