Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.303577528406638 + 0.0945470254137573FindingFriends[t] + 0.243821570238501KnowingPeople[t] + 0.348903064267891Liked[t] + 0.627086448309146Celebrity[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)	0.303577528406638	1.425118	0.213	0.831599	0.4158
FindingFriends	0.0945470254137573	0.095958	0.9853	0.326054	0.163027
KnowingPeople	0.243821570238501	0.061374	3.9727	0.00011	5.5e-05
Liked	0.348903064267891	0.096479	3.6164	0.000407	0.000203
Celebrity	0.627086448309146	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)	37.6294214271328
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	669.412044731377

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.3631900225345	1.63680997746553
2	12	11.0598864723080	0.940113527691957
3	15	13.5198743435473	1.48012565645266
4	12	10.8106072098695	1.18939279013048
5	10	10.6606294334218	-0.66062943342175
6	12	9.21298894118337	2.78701105881663
7	15	16.7307807258967	-1.73078072589670
8	9	10.4664586061786	-1.46645860617862
9	12	12.2446325096978	-0.244632509697798
10	11	7.9822624739678	3.01773752603220
11	11	13.3246193688968	-2.32461936889679
12	11	12.0695345670648	-1.06953456706481
13	15	12.2181058802665	2.78189411973348
14	7	11.2482772915125	-4.24827729151253
15	11	11.6322454012062	-0.632245401206208
16	11	10.9541017466556	0.045898253344375
17	10	12.0695345670648	-2.06953456706481
18	14	14.3458860796766	-0.345886079676615
19	10	8.69881917127508	1.30118082872492
20	6	9.50608033863284	-3.50608033863284
21	11	8.65116448090084	2.34883551909916
22	15	14.3802478934794	0.619752106520631
23	11	11.6253812457601	-0.625381245760124
24	12	9.49117232522462	2.50882767477538
25	14	13.3937239122867	0.6062760877133
26	15	14.8335292201536	0.166470779846383
27	9	14.6240694637179	-5.62406946371787
28	13	12.4935308563519	0.506469143648084
29	13	13.2151643300748	-0.215164330074818
30	16	10.7817030882668	5.21829691173321
31	13	8.49919065183193	4.50080934816807
32	12	13.5878947395298	-1.58789473952983
33	14	14.4747949188931	-0.474794918893127
34	11	10.0546119223439	0.945388077656125
35	9	10.4664586061786	-1.46645860617862
36	16	14.2408045856472	1.75919541435277
37	12	12.8724221896300	-0.872422189629978
38	10	9.1915390881677	0.8084609118323
39	13	13.0553553166344	-0.0553553166344419
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	-2.47699307479426
45	11	11.2435228309355	-0.243522830935547
46	16	13.7875232589730	2.21247674102702
47	17	13.0209935028317	3.97900649716831
48	9	8.48428263842372	0.515717361576282
49	9	11.9406257278483	-2.94062572784829
50	13	14.6842546753289	-1.68425467532887
51	10	10.9555082099017	-0.955508209901692
52	6	12.4122767075096	-6.41227670750965
53	12	12.3840758175299	-0.384075817529942
54	8	10.4328000239989	-2.43280002399890
55	14	12.3735413489143	1.62645865108569
56	12	12.4282688683253	-0.428268868325296
57	11	10.7755421644437	0.224457835556256
58	16	14.4006135990876	1.5993864009124
59	8	10.2695293709796	-2.26952937097964
60	15	15.251155912027	-0.251155912027016
61	7	9.45681051142187	-2.45681051142187
62	16	13.9864485467931	2.01355145320691
63	14	13.7364660527315	0.263533947268459
64	16	13.7531614451702	2.24683855482978
65	9	9.93969919132189	-0.939699191321885
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	5.60121038311100	-0.601210383110995
71	15	12.4282688683253	2.57173113167470
72	13	12.2789943235006	0.721005676499447
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	-0.268459854884919
78	12	11.9008062218455	0.099193778154476
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	0.141757060800387
84	10	11.2533540679281	-1.25335406792815
85	13	8.72534580070636	4.27465419929364
86	12	12.4079031627171	-0.407903162717064
87	9	9.29154380578147	-0.291543805781473
88	12	12.0164221844905	-0.0164221844905469
89	16	15.0073343417885	0.992665658211485
90	10	10.2331715045558	-0.233171504555755
91	14	13.1267782284841	0.873221771515889
92	10	13.5093398749317	-3.50933987493172
93	16	15.3113411236380	0.688658876361981
94	15	13.4484514316977	1.55154856830231
95	12	11.3479010933419	0.652098906658097
96	10	9.73499389546312	0.265006104536879
97	8	10.2389515125944	-2.23895151259441
98	8	8.60972983806134	-0.609729838061341
99	11	12.8424339206198	-1.84243392061981
100	13	12.4184376313327	0.581562368667303
101	16	15.4606156684628	0.539384331537237
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	-0.570045175929917
107	9	10.3480842355777	-1.34808423557775
108	14	15.251155912027	-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	-0.443151350378693
114	14	13.6038869003455	0.39611309965452
115	15	14.3360548426840	0.663945157315984
116	16	13.4042583809023	2.59574161909767
117	16	13.4988054063161	2.50119459368391
118	11	12.7336821134209	-1.73368211342087
119	14	13.7426269765546	0.257373023445409
120	14	10.9646362152713	3.03536378472874
121	12	11.4080863049529	0.591913695047094
122	14	12.5670089445344	1.43299105546559
123	8	10.2331715045558	-2.23317150455576
124	13	13.8371740019683	-0.837174001968348
125	16	13.7426269765546	2.25737302344541
126	12	10.9211463960989	1.07885360390106
127	16	15.4507844314702	0.549215568529837
128	12	13.3937239122867	-1.3937239122867
129	11	11.5182445753979	-0.518244575397912
130	4	6.42684120345586	-2.42684120345586
131	16	15.4507844314702	0.549215568529837
132	15	12.5677121761574	2.43228782384256
133	10	11.4795092168026	-1.47950921680258
134	13	13.2107907852822	-0.210790785282235
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	-0.68262490717943
141	12	12.2888255604932	-0.288825560493152
142	13	13.4988054063161	-0.49880540631609
143	15	12.9424386382336	2.05756136176642
144	8	8.28902766377315	-0.289027663773155
145	12	10.9204431644759	1.07955683552410
146	10	10.8062336650769	-0.806233665076948
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	-0.194798624466586
152	16	15.0675195533995	0.932480446600482
153	9	10.2331715045558	-1.23317150455576
154	14	13.1709712792795	0.829028720720535
155	14	12.7064522523666	1.29354774763345
156	12	10.1644478769502	1.83555212304975

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.0602548279129941	0.120509655825988	0.939745172087006
9	0.040695409812564	0.081390819625128	0.959304590187436
10	0.0170194540356911	0.0340389080713823	0.98298054596431
11	0.0332446241085253	0.0664892482170505	0.966755375891475
12	0.0168523905161603	0.0337047810323207	0.98314760948384
13	0.340062248849966	0.680124497699932	0.659937751150034
14	0.687383501588053	0.625232996823895	0.312616498411947
15	0.601209234185373	0.797581531629255	0.398790765814627
16	0.510582167235861	0.978835665528278	0.489417832764139
17	0.453598746628795	0.90719749325759	0.546401253371205
18	0.370723509717003	0.741447019434006	0.629276490282997
19	0.301317999657159	0.602635999314319	0.698682000342841
20	0.597546286096089	0.804907427807823	0.402453713903911
21	0.534862766631689	0.930274466736622	0.465137233368311
22	0.502940395116636	0.994119209766728	0.497059604883364
23	0.432801804411747	0.865603608823495	0.567198195588253
24	0.418583982789439	0.837167965578878	0.581416017210561
25	0.383548025270663	0.767096050541325	0.616451974729338
26	0.329006450590218	0.658012901180435	0.670993549409782
27	0.58995252248059	0.820094955038819	0.410047477519409
28	0.531783445122043	0.936433109755915	0.468216554877957
29	0.470499450120095	0.94099890024019	0.529500549879905
30	0.645914844697552	0.708170310604895	0.354085155302448
31	0.777619464550456	0.444761070899087	0.222380535449544
32	0.738132289899842	0.523735420200316	0.261867710100158
33	0.694547933147884	0.610904133704233	0.305452066852116
34	0.650248296469407	0.699503407061186	0.349751703530593
35	0.642879525215905	0.714240949568189	0.357120474784095
36	0.664526801799946	0.670946396400107	0.335473198200054
37	0.623649875754508	0.752700248490984	0.376350124245492
38	0.574270482321597	0.851459035356806	0.425729517678403
39	0.523417168331545	0.95316566333691	0.476582831668455
40	0.506554593591101	0.986890812817798	0.493445406408899
41	0.478286475802827	0.956572951605653	0.521713524197173
42	0.784717916131572	0.430564167736856	0.215282083868428
43	0.946304186779754	0.107391626440493	0.0536958132202463
44	0.957428016849002	0.0851439663019958	0.0425719831509979
45	0.945018503253557	0.109962993492886	0.0549814967464428
46	0.951914749439327	0.096170501121346	0.048085250560673
47	0.977477395616427	0.0450452087671468	0.0225226043835734
48	0.970404632842215	0.0591907343155703	0.0295953671577851
49	0.978046431461814	0.0439071370763724	0.0219535685381862
50	0.974973738015696	0.0500525239686071	0.0250262619843035
51	0.96972041968274	0.060559160634518	0.030279580317259
52	0.997195094467551	0.00560981106489731	0.00280490553244866
53	0.996015186000193	0.0079696279996149	0.00398481399980745
54	0.997066458160068	0.00586708367986409	0.00293354183993205
55	0.996777054212645	0.00644589157470937	0.00322294578735469
56	0.995452163466775	0.00909567306645014	0.00454783653322507
57	0.993698309725151	0.012603380549698	0.006301690274849
58	0.992824492334593	0.0143510153308134	0.00717550766540671
59	0.994875541388604	0.0102489172227922	0.00512445861139612
60	0.993107836698961	0.0137843266020771	0.00689216330103856
61	0.994303559973613	0.0113928800527744	0.00569644002638722
62	0.99461821057237	0.0107635788552585	0.00538178942762927
63	0.992711696750125	0.0145766064997508	0.00728830324987541
64	0.99314526274136	0.0137094745172791	0.00685473725863956
65	0.991521033516925	0.0169579329661501	0.00847896648307504
66	0.990640031207434	0.0187199375851318	0.00935996879256588
67	0.990579267686937	0.0188414646261256	0.00942073231306278
68	0.992052782643885	0.0158944347122292	0.0079472173561146
69	0.992179411265123	0.0156411774697543	0.00782058873487714
70	0.989533972961278	0.0209320540774440	0.0104660270387220
71	0.991118815967093	0.0177623680658143	0.00888118403290715
72	0.98829900395178	0.0234019920964388	0.0117009960482194
73	0.985384729647866	0.0292305407042682	0.0146152703521341
74	0.989674735176406	0.0206505296471871	0.0103252648235935
75	0.986151873286726	0.0276962534265483	0.0138481267132742
76	0.983957392177819	0.0320852156443628	0.0160426078221814
77	0.97884823552833	0.0423035289433392	0.0211517644716696
78	0.972145436892618	0.055709126214764	0.027854563107382
79	0.982272778178078	0.0354544436438443	0.0177272218219222
80	0.98183755445924	0.0363248910815189	0.0181624455407594
81	0.985420684797794	0.0291586304044125	0.0145793152022063
82	0.986093198605719	0.0278136027885626	0.0139068013942813
83	0.981307364452055	0.0373852710958899	0.0186926355479449
84	0.977277769911912	0.0454444601761769	0.0227222300880884
85	0.993781837032372	0.0124363259352551	0.00621816296762756
86	0.99153828379201	0.0169234324159801	0.00846171620799004
87	0.9885046880255	0.0229906239489983	0.0114953119744991
88	0.984910222563193	0.0301795548736135	0.0150897774368067
89	0.980897193440334	0.0382056131193325	0.0191028065596663
90	0.974775366283342	0.0504492674333154	0.0252246337166577
91	0.96933891151375	0.061322176972498	0.030661088486249
92	0.983173081675879	0.0336538366482428	0.0168269183241214
93	0.978067041297031	0.0438659174059375	0.0219329587029687
94	0.974586217123195	0.05082756575361	0.025413782876805
95	0.967691233544075	0.0646175329118491	0.0323087664559245
96	0.958871060981457	0.0822578780370851	0.0411289390185425
97	0.956043405139286	0.0879131897214286	0.0439565948607143
98	0.944002390973054	0.111995218053892	0.0559976090269459
99	0.941531041688533	0.116937916622934	0.058468958311467
100	0.92723553591443	0.145528928171139	0.0727644640855697
101	0.909642352011191	0.180715295977617	0.0903576479888087
102	0.89362610063478	0.212747798730441	0.106373899365220
103	0.904692134088707	0.190615731822587	0.0953078659112934
104	0.933253048191239	0.133493903617523	0.0667469518087613
105	0.933078626236996	0.133842747526008	0.0669213737630038
106	0.916329092237754	0.167341815524492	0.083670907762246
107	0.900331296600664	0.199337406798672	0.0996687033993362
108	0.896841294673983	0.206317410652034	0.103158705326017
109	0.89751900807058	0.204961983858840	0.102480991929420
110	0.919562139162954	0.160875721674092	0.0804378608370458
111	0.9116162700525	0.176767459895001	0.0883837299475005
112	0.938376918856626	0.123246162286748	0.0616230811433741
113	0.920727306804312	0.158545386391377	0.0792726931956884
114	0.898613937833283	0.202772124333433	0.101386062166717
115	0.872509371842654	0.254981256314691	0.127490628157346
116	0.871197088327874	0.257605823344252	0.128802911672126
117	0.877952479314963	0.244095041370074	0.122047520685037
118	0.869721702638088	0.260556594723824	0.130278297361912
119	0.836816878194585	0.326366243610831	0.163183121805415
120	0.884467307369235	0.231065385261531	0.115532692630765
121	0.86066277272278	0.278674454554439	0.139337227277219
122	0.838725546795745	0.322548906408511	0.161274453204255
123	0.8311604577216	0.337679084556798	0.168839542278399
124	0.794849771606177	0.410300456787647	0.205150228393823
125	0.7948524106691	0.4102951786618	0.2051475893309
126	0.778503071816987	0.442993856366026	0.221496928183013
127	0.730054198264471	0.539891603471058	0.269945801735529
128	0.705009328627947	0.589981342744106	0.294990671372053
129	0.722948300389998	0.554103399220005	0.277051699610002
130	0.718649310500746	0.562701378998508	0.281350689499254
131	0.662536173180312	0.674927653639376	0.337463826819688
132	0.651205019909617	0.697589960180766	0.348794980090383
133	0.625024074297117	0.749951851405766	0.374975925702883
134	0.553835358999271	0.892329282001458	0.446164641000729
135	0.529031672819814	0.941936654360373	0.470968327180186
136	0.524968980108928	0.950062039782144	0.475031019891072
137	0.451837592005813	0.903675184011627	0.548162407994187
138	0.521851195782837	0.956297608434326	0.478148804217163
139	0.850055444645577	0.299889110708846	0.149944555354423
140	0.87775097711501	0.244498045769980	0.122249022884990
141	0.844213121210478	0.311573757579044	0.155786878789522
142	0.777233315436774	0.445533369126452	0.222766684563226
143	0.749312686280594	0.501374627438811	0.250687313719406
144	0.652220317047529	0.695559365904942	0.347779682952471
145	0.642877004864541	0.714245990270918	0.357122995135459
146	0.763918241013173	0.472163517973654	0.236081758986827
147	0.731674192977648	0.536651614044705	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