Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -0.230262856605763 + 0.124421759330556FindingFriends[t] + 0.242447469145869KnowingPeople[t] + 0.352480645391408Liked[t] + 0.633321617244387Celebrity[t] + 0.320786045997284B[t] -0.112460065107071`2B`[t] -0.0264621349487461`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)	-0.230262856605763	1.496946	-0.1538	0.87796	0.43898
FindingFriends	0.124421759330556	0.098238	1.2665	0.207313	0.103657
KnowingPeople	0.242447469145869	0.061613	3.935	0.000128	6.4e-05
Liked	0.352480645391408	0.097361	3.6203	0.000403	0.000202
Celebrity	0.633321617244387	0.157559	4.0196	9.3e-05	4.6e-05
B	0.320786045997284	0.227708	1.4088	0.161003	0.080501
`2B`	-0.112460065107071	0.211909	-0.5307	0.596422	0.298211
`3B`	-0.0264621349487461	0.197252	-0.1342	0.893463	0.446732

Multiple Linear Regression - Regression Statistics
Multiple R	0.712454731757267
R-squared	0.507591744803319
Adjusted R-squared	0.484302165165638
F-TEST (value)	21.7948006232827
F-TEST (DF numerator)	7
F-TEST (DF denominator)	148
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10885387487063
Sum Squared Residuals	658.19517050242

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	13.4918839722230	1.50811602777697
2	12	10.9371487555508	1.06285124444918
3	9	10.5816936253995	-1.58169362539954
4	10	11.9428237148048	-1.94282371480475
5	13	13.1473958604014	-0.147395860401419
6	16	15.2988036302277	0.70119636977229
7	14	12.8926593635950	1.10734063640503
8	16	14.2732839081629	1.72671609183711
9	10	11.0390775405863	-1.03907754058634
10	8	10.3179128675937	-2.31791286759371
11	12	12.8106095672703	-0.810609567270254
12	15	15.3967329281444	-0.396732928144398
13	14	10.9911795589824	3.0088204410176
14	14	12.0185682924344	1.98143170756563
15	12	12.6206110036536	-0.620611003653647
16	12	10.9502922223909	1.04970777760915
17	10	9.24910924654094	0.750890753459065
18	4	6.55027417147198	-2.55027417147198
19	14	14.8774888868817	-0.877488886881718
20	15	14.2451095320846	0.754890467915425
21	16	13.7125076083464	2.28749239165361
22	12	11.2019324287341	0.798067571265853
23	12	12.1330708614301	-0.133070861430109
24	12	10.6903477407784	1.30965225922162
25	12	10.7263143546240	1.27368564537604
26	12	12.4458643738576	-0.445864373857618
27	11	7.88489077264322	3.11510922735678
28	11	13.9680223233188	-2.96802232331881
29	11	11.7675713941754	-0.767571394175375
30	11	11.4255678165932	-0.425567816593164
31	11	11.1459749685375	-0.145974968537524
32	11	9.05066684301322	1.94933315698678
33	15	14.5738881116516	0.426111888348367
34	15	14.9939274122875	0.00607258771248438
35	9	14.2177051346886	-5.21770513468858
36	16	10.4190112478222	5.58098875217777
37	13	8.28020398702681	4.71979601297319
38	9	10.7569459460289	-1.75694594602893
39	16	14.2005413024848	1.79945869751516
40	12	13.0951983771543	-1.09519837715432
41	15	8.40813430102473	6.59186569897527
42	5	9.36799568762837	-4.36799568762837
43	11	11.2035196131437	-0.203519613143663
44	17	13.5179977469146	3.4820022530854
45	9	8.1924977151737	0.807502284826292
46	13	15.2231498834182	-2.22314988341823
47	16	14.0693903133762	1.93060968662382
48	16	13.7641564355338	2.23584356446622
49	14	13.7340583201942	0.265941679805815
50	16	13.4808582483541	2.51914175164585
51	11	13.2499937867094	-2.24999378670945
52	11	11.741251443332	-0.741251443331995
53	11	13.7720367233744	-2.77203672337440
54	12	12.6262885060021	-0.626288506002135
55	12	13.4635522320450	-1.46355223204504
56	12	12.3861863945427	-0.386186394542673
57	14	13.9116774705970	0.0883225294030321
58	10	11.3451145043230	-1.34511450432298
59	9	9.02358910698186	-0.023589106981859
60	12	11.6489693212987	0.351030678701326
61	10	10.4042439780149	-0.4042439780149
62	14	13.4191231789983	0.580876821001681
63	8	10.3134434748435	-2.31344347484351
64	16	14.3685890289679	1.63141097103211
65	14	15.5859836000602	-1.58598360006015
66	14	10.7843382045065	3.21566179549352
67	12	11.1752426790701	0.824757320929884
68	14	13.3972872070574	0.602712792942648
69	7	10.4318878855802	-3.43188788558019
70	19	14.5157617037739	4.48423829622612
71	15	12.7771153487457	2.22288465125434
72	8	11.3037151302295	-3.30371513022950
73	10	14.6807010008753	-4.68070100087534
74	13	13.2715718174700	-0.271571817470007
75	13	11.5050974657061	1.49490253429386
76	10	10.7766485247344	-0.776648524734446
77	12	9.41044918180933	2.58955081819067
78	15	16.6511419410771	-1.65114194107706
79	7	11.1576034824981	-4.15760348249814
80	14	14.1882464279985	-0.188246427998494
81	10	8.72298490349312	1.27701509650688
82	6	9.87486234129855	-3.87486234129855
83	11	11.6748290542446	-0.674829054244615
84	12	9.78715606944545	2.21284393055455
85	14	14.1315864589883	-0.131586458988350
86	12	13.5195849313241	-1.51958493132412
87	14	14.2121394899803	-0.212139489980342
88	11	10.3228757222102	0.677124277789761
89	10	9.23998915261697	0.76001084738303
90	13	12.7494348226226	0.250565177377418
91	8	10.2994432662147	-2.29944326621474
92	9	12.3323261542906	-3.3323261542906
93	6	12.4117877982193	-6.4117877982193
94	12	12.5942910528103	-0.594291052810267
95	14	12.287893589898	1.712106410102
96	11	10.9786087825745	0.0213912174254618
97	8	10.0902419679002	-2.09024196790019
98	7	9.6528966509552	-2.6528966509552
99	9	9.51567349294914	-0.515673492949142
100	14	13.0133699034522	0.986630096547776
101	13	10.3563063703008	2.64369362969918
102	15	12.6314091128073	2.36859088719273
103	5	5.66587982304402	-0.665879823044024
104	15	12.0036531402711	2.99634685972888
105	13	12.0510117654604	0.948988234539627
106	12	11.6393226582965	0.360677341703524
107	6	8.18219945002766	-2.18219945002766
108	7	10.0437707990537	-3.04377079905372
109	13	9.56712633551216	3.43287366448784
110	16	15.5279957748933	0.472004225106696
111	10	13.2648729141570	-3.26487291415702
112	16	15.5356854546653	0.464314545334665
113	15	13.5960783825856	1.40392161741439
114	8	8.80344751540832	-0.803447515408322
115	11	12.9339795991712	-1.93397959917119
116	13	12.4673002205128	0.532699779487187
117	16	15.0815428533205	0.918457146679522
118	11	8.5165588542973	2.48344114570270
119	14	14.3790357703120	-0.379035770311962
120	9	10.1101658692283	-1.11016586922833
121	8	10.1606632502643	-2.16066325026429
122	8	11.2847849228642	-3.28478492286419
123	11	12.0080673388279	-1.00806733882794
124	12	13.1924028358116	-1.19240283581159
125	11	11.8712206598241	-0.871220659824113
126	14	13.8225407845919	0.177459215408068
127	11	12.962784084254	-1.96278408425399
128	14	12.6222378141733	1.3777621858267
129	13	13.7321286558768	-0.732128655876788
130	12	11.0271461728280	0.97285382717202
131	4	6.48379112945436	-2.48379112945436
132	15	12.4299242193354	2.57007578066459
133	10	11.3488926688192	-1.34889266881919
134	13	13.1412815596335	-0.141281559633465
135	15	13.0963498233057	1.90365017669425
136	12	12.5095564264436	-0.509556426443611
137	13	13.7125076083464	-0.712507608346393
138	8	8.08659976948448	-0.0865997694844794
139	10	10.7127258498808	-0.712725849880818
140	15	14.0729807873076	0.927019212692424
141	16	14.4134904388305	1.58650956116952
142	16	15.2932379855195	0.706762014480534
143	14	13.0104637507877	0.989536249212332
144	14	12.8831245582330	1.11687544176698
145	12	10.0066709266034	1.99332907339660
146	15	12.0614311878917	2.93856881210832
147	13	12.2342507728338	0.765749227166247
148	16	13.5880858490158	2.41191415098416
149	14	13.6077068965462	0.392293103453768
150	8	10.0834579320176	-2.08345793201762
151	16	13.6341690314950	2.36583096850502
152	16	15.6576499986692	0.342350001330762
153	12	13.1692283209965	-1.16922832099650
154	11	11.2909230311990	-0.290923031199022
155	16	15.3633260876207	0.636673912379299
156	9	10.0834579320176	-1.08345793201762

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
11	0.278421260652546	0.556842521305093	0.721578739347454
12	0.243165025991498	0.486330051982996	0.756834974008502
13	0.340402699310737	0.680805398621474	0.659597300689263
14	0.242319030216541	0.484638060433083	0.757680969783459
15	0.172023412594869	0.344046825189738	0.827976587405131
16	0.225399465298308	0.450798930596617	0.774600534701692
17	0.200202027696511	0.400404055393021	0.79979797230349
18	0.238353042709908	0.476706085419816	0.761646957290092
19	0.188746560137054	0.377493120274108	0.811253439862946
20	0.132423261546035	0.26484652309207	0.867576738453965
21	0.128196861409589	0.256393722819178	0.871803138590411
22	0.0875986554203562	0.175197310840712	0.912401344579644
23	0.0588579555908383	0.117715911181677	0.941142044409162
24	0.048989313562998	0.097978627125996	0.951010686437002
25	0.0406557334935991	0.0813114669871982	0.9593442665064
26	0.0312871709448228	0.0625743418896455	0.968712829055177
27	0.0377271357966173	0.0754542715932346	0.962272864203383
28	0.150414273741896	0.300828547483792	0.849585726258104
29	0.115897549100540	0.231795098201080	0.88410245089946
30	0.0879928018067442	0.175985603613488	0.912007198193256
31	0.0632808887263187	0.126561777452637	0.936719111273681
32	0.0566723790201147	0.113344758040229	0.943327620979885
33	0.0400338942403277	0.0800677884806554	0.959966105759672
34	0.0276826605678982	0.0553653211357963	0.972317339432102
35	0.122371121515857	0.244742243031715	0.877628878484143
36	0.3737568948493	0.7475137896986	0.6262431051507
37	0.560487171914822	0.879025656170357	0.439512828085178
38	0.520428689016783	0.959142621966434	0.479571310983217
39	0.534904408973813	0.930191182052373	0.465095591026187
40	0.51703001723141	0.96593996553718	0.48296998276859
41	0.813644298127953	0.372711403744094	0.186355701872047
42	0.898223173542939	0.203553652914122	0.101776826457061
43	0.873255315019678	0.253489369960644	0.126744684980322
44	0.912918538609392	0.174162922781216	0.0870814613906079
45	0.896279156826332	0.207441686347336	0.103720843173668
46	0.894286834534033	0.211426330931934	0.105713165465967
47	0.88770733908206	0.224585321835881	0.112292660917941
48	0.89262677014108	0.214746459717838	0.107373229858919
49	0.867200459684645	0.265599080630711	0.132799540315355
50	0.872120263685182	0.255759472629636	0.127879736314818
51	0.874670232969106	0.250659534061787	0.125329767030894
52	0.854896503257863	0.290206993484273	0.145103496742136
53	0.88461301242717	0.23077397514566	0.11538698757283
54	0.867745099959383	0.264509800081234	0.132254900040617
55	0.849756665007717	0.300486669984567	0.150243334992283
56	0.819837792562263	0.360324414875474	0.180162207437737
57	0.78549466497233	0.429010670055341	0.214505335027670
58	0.771072702225105	0.457854595549789	0.228927297774895
59	0.740060088652611	0.519879822694778	0.259939911347389
60	0.709634905609525	0.580730188780949	0.290365094390475
61	0.680576514681774	0.638846970636451	0.319423485318226
62	0.640613845532358	0.718772308935285	0.359386154467642
63	0.694965523440861	0.610068953118277	0.305034476559139
64	0.68558346471922	0.628833070561559	0.314416535280780
65	0.671367525481204	0.657264949037592	0.328632474518796
66	0.70862711562021	0.582745768759581	0.291372884379790
67	0.670197310717298	0.659605378565404	0.329802689282702
68	0.627572647575878	0.744854704848243	0.372427352424121
69	0.72111057440158	0.55777885119684	0.27888942559842
70	0.844328161008698	0.311343677982603	0.155671838991302
71	0.841665787871414	0.316668424257171	0.158334212128586
72	0.886143556797144	0.227712886405713	0.113856443202856
73	0.956040114776127	0.087919770447745	0.0439598852238725
74	0.943824604985614	0.112350790028772	0.0561753950143861
75	0.934451786926458	0.131096426147083	0.0655482130735416
76	0.92094312841886	0.158113743162279	0.0790568715811395
77	0.929745646561178	0.140508706877643	0.0702543534388217
78	0.926266008015846	0.147467983968307	0.0737339919841536
79	0.970700153256484	0.0585996934870317	0.0292998467435159
80	0.961853374818918	0.0762932503621632	0.0381466251810816
81	0.95595008611046	0.0880998277790801	0.0440499138895401
82	0.974520694231625	0.0509586115367501	0.0254793057683751
83	0.967651559843673	0.0646968803126541	0.0323484401563271
84	0.970220602559887	0.0595587948802267	0.0297793974401134
85	0.961050752214448	0.0778984955711035	0.0389492477855517
86	0.95549300354478	0.089013992910441	0.0445069964552205
87	0.944724543140143	0.110550913719714	0.0552754568598569
88	0.940113866150486	0.119772267699027	0.0598861338495137
89	0.93868220227428	0.122635595451439	0.0613177977257193
90	0.922777024708426	0.154445950583149	0.0772229752915743
91	0.926858315955152	0.146283368089696	0.0731416840448481
92	0.963278630177781	0.0734427396444374	0.0367213698222187
93	0.998646106901068	0.00270778619786365	0.00135389309893182
94	0.99805935422726	0.00388129154548085	0.00194064577274042
95	0.997705543037295	0.00458891392540903	0.00229445696270451
96	0.996643252945297	0.00671349410940579	0.00335674705470289
97	0.996762336755827	0.00647532648834535	0.00323766324417267
98	0.997377415797993	0.00524516840401355	0.00262258420200677
99	0.996587267030572	0.00682546593885586	0.00341273296942793
100	0.995123571391032	0.00975285721793623	0.00487642860896812
101	0.997806197365337	0.00438760526932624	0.00219380263466312
102	0.997448261947552	0.00510347610489697	0.00255173805244849
103	0.99687547831858	0.0062490433628396	0.0031245216814198
104	0.99717935090869	0.00564129818262039	0.00282064909131019
105	0.99614043922677	0.00771912154645812	0.00385956077322906
106	0.994364964157095	0.011270071685811	0.0056350358429055
107	0.994139251349308	0.0117214973013841	0.00586074865069205
108	0.996474394277624	0.00705121144475276	0.00352560572237638
109	0.999277791187466	0.00144441762506721	0.000722208812533604
110	0.998855423266196	0.00228915346760721	0.00114457673380361
111	0.999655671363472	0.000688657273055327	0.000344328636527663
112	0.999423892540623	0.00115221491875374	0.000576107459376872
113	0.99921438240574	0.00157123518851871	0.000785617594259355
114	0.998809515748649	0.00238096850270295	0.00119048425135147
115	0.99855803560656	0.00288392878688165	0.00144196439344082
116	0.997646129931326	0.00470774013734803	0.00235387006867402
117	0.99630133835073	0.00739732329854145	0.00369866164927072
118	0.999289178200081	0.00142164359983753	0.000710821799918765
119	0.998784286710906	0.00243142657818888	0.00121571328909444
120	0.998021364937406	0.00395727012518795	0.00197863506259398
121	0.997818657841193	0.00436268431761359	0.00218134215880679
122	0.998143297920036	0.00371340415992794	0.00185670207996397
123	0.996892066885061	0.0062158662298777	0.00310793311493885
124	0.997095153708944	0.00580969258211286	0.00290484629105643
125	0.995099234647272	0.0098015307054561	0.00490076535272805
126	0.991869305650795	0.0162613886984099	0.00813069434920495
127	0.991103946270788	0.0177921074584247	0.00889605372921236
128	0.985789319237864	0.0284213615242713	0.0142106807621356
129	0.985470522534924	0.0290589549301514	0.0145294774650757
130	0.991327197730366	0.0173456045392687	0.00867280226963433
131	0.986936033949424	0.0261279321011512	0.0130639660505756
132	0.989511061310252	0.0209778773794964	0.0104889386897482
133	0.984475486082136	0.031049027835728	0.015524513917864
134	0.97448738110143	0.0510252377971416	0.0255126188985708
135	0.965164484876915	0.0696710302461699	0.0348355151230849
136	0.96100292175584	0.0779941564883188	0.0389970782441594
137	0.957689713724243	0.0846205725515134	0.0423102862757567
138	0.928645075055456	0.142709849889087	0.0713549249445435
139	0.925939586285274	0.148120827429453	0.0740604137147265
140	0.902695588179466	0.194608823641067	0.0973044118205335
141	0.994764278955234	0.0104714420895325	0.00523572104476626
142	0.999627542867431	0.000744914265138172	0.000372457132569086
143	0.9986023083136	0.00279538337279912	0.00139769168639956
144	0.997075684397922	0.00584863120415693	0.00292431560207846
145	0.985514198442917	0.0289716031141653	0.0144858015570826

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	34	0.251851851851852	NOK
5% type I error level	46	0.340740740740741	NOK
10% type I error level	66	0.488888888888889	NOK