Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.303577528406636 + 0.0945470254137575FindingFriends[t] + 0.243821570238500KnowingPeople[t] + 0.348903064267891Liked[t] + 0.627086448309147Celebrity[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)	0.303577528406636	1.425118	0.213	0.831599	0.4158
FindingFriends	0.0945470254137575	0.095958	0.9853	0.326054	0.163027
KnowingPeople	0.243821570238500	0.061374	3.9727	0.00011	5.5e-05
Liked	0.348903064267891	0.096479	3.6164	0.000407	0.000203
Celebrity	0.627086448309147	0.156033	4.0189	9.2e-05	4.6e-05

Multiple Linear Regression - Regression Statistics
Multiple R	0.706541003093969
R-squared	0.499200189053031
Adjusted R-squared	0.485933968895496
F-TEST (value)	37.6294214271329
F-TEST (DF numerator)	4
F-TEST (DF denominator)	151
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10551474685275
Sum Squared Residuals	669.412044731376

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.3631900225345	1.63680997746547
2	12	11.0598864723080	0.940113527691951
3	15	13.5198743435474	1.48012565645264
4	12	10.8106072098695	1.18939279013047
5	10	10.6606294334218	-0.660629433421751
6	12	9.21298894118337	2.78701105881664
7	15	16.7307807258967	-1.73078072589671
8	9	10.4664586061786	-1.46645860617862
9	12	12.2446325096978	-0.244632509697797
10	11	7.98226247396779	3.01773752603221
11	11	13.3246193688968	-2.32461936889679
12	11	12.0695345670648	-1.06953456706481
13	15	12.2181058802665	2.78189411973349
14	7	11.2482772915125	-4.24827729151253
15	11	11.6322454012062	-0.63224540120621
16	11	10.9541017466556	0.0458982533443776
17	10	12.0695345670648	-2.06953456706481
18	14	14.3458860796766	-0.345886079676616
19	10	8.69881917127508	1.30118082872492
20	6	9.50608033863283	-3.50608033863283
21	11	8.65116448090084	2.34883551909916
22	15	14.3802478934794	0.61975210652063
23	11	11.6253812457601	-0.625381245760121
24	12	9.49117232522462	2.50882767477538
25	14	13.3937239122867	0.606276087713301
26	15	14.8335292201536	0.166470779846384
27	9	14.6240694637179	-5.62406946371787
28	13	12.4935308563519	0.506469143648087
29	13	13.2151643300748	-0.215164330074817
30	16	10.7817030882668	5.21829691173321
31	13	8.49919065183193	4.50080934816807
32	12	13.5878947395298	-1.58789473952983
33	14	14.4747949188931	-0.474794918893128
34	11	10.0546119223439	0.945388077656127
35	9	10.4664586061786	-1.46645860617862
36	16	14.2408045856472	1.75919541435278
37	12	12.8724221896300	-0.87242218962998
38	10	9.1915390881677	0.808460911832304
39	13	13.0553553166344	-0.0553553166344411
40	16	15.2167940982243	0.783205901775738
41	14	12.9060807718097	1.09391922819030
42	15	8.0928016601972	6.9071983398028
43	5	9.74045158766314	-4.74045158766314
44	8	10.4769930747943	-2.47699307479425
45	11	11.2435228309355	-0.243522830935547
46	16	13.7875232589730	2.21247674102702
47	17	13.0209935028317	3.97900649716831
48	9	8.48428263842372	0.515717361576283
49	9	11.9406257278483	-2.94062572784829
50	13	14.6842546753289	-1.68425467532887
51	10	10.9555082099017	-0.955508209901694
52	6	12.4122767075096	-6.41227670750964
53	12	12.3840758175299	-0.384075817529943
54	8	10.4328000239989	-2.43280002399890
55	14	12.3735413489143	1.62645865108569
56	12	12.4282688683253	-0.428268868325295
57	11	10.7755421644437	0.224457835556259
58	16	14.4006135990876	1.5993864009124
59	8	10.2695293709796	-2.26952937097964
60	15	15.2511559120270	-0.251155912027017
61	7	9.45681051142187	-2.45681051142187
62	16	13.9864485467931	2.01355145320691
63	14	13.7364660527315	0.263533947268463
64	16	13.7531614451702	2.24683855482978
65	9	9.93969919132188	-0.939699191321884
66	14	12.2789943235006	1.72100567649945
67	11	13.0448208480188	-2.04482084801881
68	13	10.4671618378017	2.53283816219834
69	15	12.9060807718097	2.09391922819030
70	5	5.60121038311099	-0.601210383110992
71	15	12.4282688683253	2.57173113167471
72	13	12.2789943235006	0.721005676499448
73	11	12.0457072218777	-1.04570722187768
74	11	13.9782324466372	-2.97823244663722
75	12	12.4731651507437	-0.473165150743683
76	12	13.3937239122867	-1.3937239122867
77	12	12.2684598548849	-0.268459854884918
78	12	11.9008062218455	0.0991937781544784
79	14	10.7817030882668	3.21829691173321
80	6	7.99317785836783	-1.99317785836783
81	7	9.84007538949251	-2.84007538949251
82	14	11.9898955550593	2.01010444494074
83	14	13.8582429391996	0.141757060800385
84	10	11.2533540679281	-1.25335406792814
85	13	8.72534580070636	4.27465419929364
86	12	12.4079031627171	-0.407903162717064
87	9	9.29154380578147	-0.291543805781471
88	12	12.0164221844905	-0.0164221844905460
89	16	15.0073343417885	0.992665658211484
90	10	10.2331715045558	-0.233171504555754
91	14	13.1267782284841	0.873221771515887
92	10	13.5093398749317	-3.50933987493172
93	16	15.3113411236380	0.68865887636198
94	15	13.4484514316977	1.55154856830232
95	12	11.3479010933419	0.652098906658098
96	10	9.73499389546312	0.265006104536880
97	8	10.2389515125944	-2.23895151259441
98	8	8.60972983806134	-0.609729838061339
99	11	12.8424339206198	-1.84243392061980
100	13	12.4184376313327	0.581562368667303
101	16	15.4606156684628	0.539384331537238
102	16	14.7186164891316	1.28138351086837
103	14	15.8149764249307	-1.81497642493067
104	11	8.88515481414674	2.11484518585326
105	4	6.96753760279542	-2.96753760279542
106	14	14.5700451759299	-0.570045175929921
107	9	10.3480842355777	-1.34808423557774
108	14	15.2511559120270	-1.25115591202702
109	8	10.4531657296071	-2.45316572960713
110	8	10.9016925957044	-2.9016925957044
111	11	12.1949817667024	-1.19498176670243
112	12	13.6426222589408	-1.64262225894082
113	11	11.4431513503787	-0.443151350378695
114	14	13.6038869003455	0.396113099654519
115	15	14.3360548426840	0.663945157315982
116	16	13.4042583809023	2.59574161909767
117	16	13.4988054063161	2.50119459368391
118	11	12.7336821134209	-1.73368211342087
119	14	13.7426269765546	0.257373023445410
120	14	10.9646362152713	3.03536378472874
121	12	11.4080863049529	0.591913695047095
122	14	12.5670089445344	1.43299105546560
123	8	10.2331715045558	-2.23317150455575
124	13	13.8371740019683	-0.837174001968348
125	16	13.7426269765546	2.25737302344541
126	12	10.9211463960989	1.07885360390106
127	16	15.4507844314702	0.549215568529835
128	12	13.3937239122867	-1.3937239122867
129	11	11.5182445753979	-0.518244575397912
130	4	6.42684120345585	-2.42684120345585
131	16	15.4507844314702	0.549215568529835
132	15	12.5677121761574	2.43228782384256
133	10	11.4795092168026	-1.47950921680258
134	13	13.2107907852822	-0.210790785282238
135	15	13.2549838360776	1.74501616392241
136	12	10.6766215942374	1.32337840576260
137	14	13.6480799511408	0.351920048859167
138	7	10.6759183626144	-3.67591836261437
139	19	14.0915300408225	4.90846995917752
140	12	12.6826249071794	-0.682624907179428
141	12	12.2888255604931	-0.288825560493149
142	13	13.4988054063161	-0.49880540631609
143	15	12.9424386382336	2.05756136176642
144	8	8.28902766377315	-0.289027663773149
145	12	10.9204431644759	1.07955683552410
146	10	10.8062336650770	-0.806233665076951
147	8	11.4087895365759	-3.40878953657594
148	10	14.3751711170638	-4.37517111706375
149	15	13.8919015213793	1.10809847862067
150	16	14.6142382267253	1.38576177327473
151	13	13.1947986244666	-0.194798624466587
152	16	15.0675195533995	0.93248044660048
153	9	10.2331715045558	-1.23317150455575
154	14	13.1709712792795	0.829028720720535
155	14	12.7064522523665	1.29354774763345
156	12	10.1644478769502	1.83555212304975

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.0602548279129953	0.120509655825991	0.939745172087005
9	0.0406954098125639	0.0813908196251279	0.959304590187436
10	0.0170194540356913	0.0340389080713827	0.982980545964309
11	0.0332446241085250	0.0664892482170501	0.966755375891475
12	0.0168523905161605	0.0337047810323211	0.98314760948384
13	0.340062248849965	0.68012449769993	0.659937751150035
14	0.687383501588052	0.625232996823897	0.312616498411948
15	0.601209234185372	0.797581531629256	0.398790765814628
16	0.510582167235863	0.978835665528275	0.489417832764137
17	0.453598746628794	0.907197493257588	0.546401253371206
18	0.370723509717003	0.741447019434005	0.629276490282997
19	0.301317999657159	0.602635999314318	0.698682000342841
20	0.59754628609609	0.80490742780782	0.40245371390391
21	0.53486276663169	0.93027446673662	0.46513723336831
22	0.502940395116637	0.994119209766727	0.497059604883363
23	0.432801804411746	0.865603608823492	0.567198195588254
24	0.418583982789439	0.837167965578878	0.581416017210561
25	0.383548025270662	0.767096050541324	0.616451974729338
26	0.329006450590219	0.658012901180438	0.670993549409781
27	0.589952522480592	0.820094955038816	0.410047477519408
28	0.531783445122043	0.936433109755914	0.468216554877957
29	0.470499450120094	0.940998900240188	0.529500549879906
30	0.64591484469755	0.7081703106049	0.35408515530245
31	0.777619464550457	0.444761070899086	0.222380535449543
32	0.738132289899842	0.523735420200317	0.261867710100158
33	0.694547933147884	0.610904133704233	0.305452066852116
34	0.650248296469407	0.699503407061186	0.349751703530593
35	0.642879525215904	0.714240949568192	0.357120474784096
36	0.664526801799945	0.670946396400109	0.335473198200054
37	0.62364987575451	0.75270024849098	0.37635012424549
38	0.574270482321598	0.851459035356803	0.425729517678402
39	0.523417168331546	0.953165663336909	0.476582831668454
40	0.5065545935911	0.9868908128178	0.4934454064089
41	0.478286475802828	0.956572951605655	0.521713524197172
42	0.78471791613157	0.430564167736859	0.215282083868430
43	0.946304186779753	0.107391626440493	0.0536958132202466
44	0.957428016849002	0.0851439663019955	0.0425719831509978
45	0.945018503253557	0.109962993492886	0.0549814967464428
46	0.951914749439327	0.0961705011213454	0.0480852505606727
47	0.977477395616427	0.0450452087671469	0.0225226043835734
48	0.970404632842215	0.0591907343155706	0.0295953671577853
49	0.978046431461814	0.0439071370763724	0.0219535685381862
50	0.974973738015696	0.0500525239686073	0.0250262619843037
51	0.969720419682741	0.060559160634518	0.030279580317259
52	0.997195094467551	0.00560981106489728	0.00280490553244864
53	0.996015186000193	0.00796962799961483	0.00398481399980742
54	0.997066458160068	0.00586708367986411	0.00293354183993206
55	0.996777054212645	0.00644589157470939	0.00322294578735470
56	0.995452163466775	0.00909567306645014	0.00454783653322507
57	0.99369830972515	0.012603380549698	0.006301690274849
58	0.992824492334593	0.0143510153308133	0.00717550766540665
59	0.994875541388604	0.0102489172227923	0.00512445861139614
60	0.993107836698961	0.0137843266020771	0.00689216330103856
61	0.994303559973613	0.0113928800527746	0.0056964400263873
62	0.99461821057237	0.0107635788552586	0.00538178942762931
63	0.992711696750124	0.0145766064997510	0.00728830324987549
64	0.99314526274136	0.0137094745172792	0.00685473725863961
65	0.991521033516925	0.0169579329661501	0.00847896648307504
66	0.990640031207434	0.0187199375851319	0.00935996879256594
67	0.990579267686937	0.0188414646261253	0.00942073231306266
68	0.992052782643885	0.0158944347122294	0.00794721735611471
69	0.992179411265123	0.0156411774697543	0.00782058873487717
70	0.989533972961278	0.0209320540774442	0.0104660270387221
71	0.991118815967093	0.0177623680658142	0.0088811840329071
72	0.98829900395178	0.0234019920964386	0.0117009960482193
73	0.985384729647866	0.0292305407042682	0.0146152703521341
74	0.989674735176406	0.020650529647187	0.0103252648235935
75	0.986151873286726	0.0276962534265481	0.0138481267132740
76	0.983957392177819	0.0320852156443630	0.0160426078221815
77	0.97884823552833	0.0423035289433389	0.0211517644716695
78	0.972145436892618	0.0557091262147639	0.0278545631073819
79	0.982272778178078	0.0354544436438441	0.0177272218219220
80	0.98183755445924	0.0363248910815189	0.0181624455407594
81	0.985420684797794	0.0291586304044130	0.0145793152022065
82	0.986093198605719	0.0278136027885626	0.0139068013942813
83	0.981307364452055	0.0373852710958895	0.0186926355479448
84	0.977277769911912	0.0454444601761762	0.0227222300880881
85	0.993781837032372	0.0124363259352551	0.00621816296762753
86	0.99153828379201	0.0169234324159800	0.00846171620799002
87	0.9885046880255	0.0229906239489984	0.0114953119744992
88	0.984910222563193	0.0301795548736137	0.0150897774368069
89	0.980897193440334	0.0382056131193326	0.0191028065596663
90	0.974775366283342	0.0504492674333157	0.0252246337166578
91	0.969338911513751	0.061322176972498	0.030661088486249
92	0.983173081675879	0.0336538366482428	0.0168269183241214
93	0.978067041297031	0.0438659174059371	0.0219329587029686
94	0.974586217123195	0.0508275657536099	0.0254137828768050
95	0.967691233544076	0.0646175329118488	0.0323087664559244
96	0.958871060981457	0.0822578780370851	0.0411289390185426
97	0.956043405139286	0.0879131897214289	0.0439565948607145
98	0.944002390973054	0.111995218053891	0.0559976090269456
99	0.941531041688533	0.116937916622934	0.058468958311467
100	0.92723553591443	0.145528928171139	0.0727644640855697
101	0.909642352011191	0.180715295977617	0.0903576479888085
102	0.89362610063478	0.212747798730440	0.106373899365220
103	0.904692134088707	0.190615731822586	0.0953078659112928
104	0.933253048191239	0.133493903617523	0.0667469518087613
105	0.933078626236996	0.133842747526007	0.0669213737630037
106	0.916329092237754	0.167341815524492	0.0836709077622459
107	0.900331296600664	0.199337406798671	0.0996687033993356
108	0.896841294673983	0.206317410652034	0.103158705326017
109	0.89751900807058	0.204961983858839	0.102480991929419
110	0.919562139162954	0.160875721674091	0.0804378608370456
111	0.9116162700525	0.176767459895001	0.0883837299475005
112	0.938376918856626	0.123246162286748	0.061623081143374
113	0.920727306804311	0.158545386391377	0.0792726931956885
114	0.898613937833284	0.202772124333433	0.101386062166716
115	0.872509371842654	0.254981256314691	0.127490628157346
116	0.871197088327875	0.257605823344251	0.128802911672125
117	0.877952479314964	0.244095041370073	0.122047520685036
118	0.869721702638088	0.260556594723824	0.130278297361912
119	0.836816878194584	0.326366243610833	0.163183121805416
120	0.884467307369234	0.231065385261531	0.115532692630766
121	0.86066277272278	0.278674454554439	0.139337227277219
122	0.838725546795745	0.322548906408511	0.161274453204255
123	0.831160457721601	0.337679084556797	0.168839542278399
124	0.794849771606176	0.410300456787648	0.205150228393824
125	0.7948524106691	0.4102951786618	0.2051475893309
126	0.778503071816987	0.442993856366025	0.221496928183013
127	0.730054198264471	0.539891603471058	0.269945801735529
128	0.705009328627945	0.58998134274411	0.294990671372055
129	0.722948300389997	0.554103399220006	0.277051699610003
130	0.718649310500746	0.562701378998508	0.281350689499254
131	0.662536173180311	0.674927653639377	0.337463826819689
132	0.651205019909617	0.697589960180766	0.348794980090383
133	0.625024074297117	0.749951851405766	0.374975925702883
134	0.55383535899927	0.892329282001459	0.446164641000729
135	0.529031672819813	0.941936654360375	0.470968327180187
136	0.52496898010893	0.95006203978214	0.47503101989107
137	0.451837592005814	0.903675184011628	0.548162407994186
138	0.521851195782836	0.956297608434329	0.478148804217164
139	0.850055444645576	0.299889110708848	0.149944555354424
140	0.87775097711501	0.244498045769981	0.122249022884990
141	0.84421312121048	0.311573757579041	0.155786878789521
142	0.777233315436775	0.44553336912645	0.222766684563225
143	0.749312686280594	0.501374627438812	0.250687313719406
144	0.652220317047529	0.695559365904942	0.347779682952471
145	0.642877004864542	0.714245990270916	0.357122995135458
146	0.763918241013173	0.472163517973654	0.236081758986827
147	0.731674192977648	0.536651614044704	0.268325807022352
148	0.852462448780022	0.295075102439955	0.147537551219978

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	5	0.0354609929078014	NOK
5% type I error level	43	0.304964539007092	NOK
10% type I error level	57	0.404255319148936	NOK