Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -1.41465694137495 + 2.84541301823415G[t] + 0.262356738378074FindingFriends[t] -0.287189836726076`Findingfriends*G`[t] + 0.242880624654639KnowingPeople[t] + 0.0250638601849269`Knowingpeople*G`[t] + 0.267990498590281Liked[t] + 0.139922302256939`Liked*G`[t] + 0.737523946024839Celebrity[t] -0.198880217805659`Celebrity*G`[t] -0.00161048216137737t + 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)	-1.41465694137495	2.274897	-0.6219	0.535013	0.267507
G	2.84541301823415	2.911505	0.9773	0.330048	0.165024
FindingFriends	0.262356738378074	0.14129	1.8569	0.065358	0.032679
`Findingfriends*G`	-0.287189836726076	0.195479	-1.4692	0.143956	0.071978
KnowingPeople	0.242880624654639	0.111389	2.1805	0.030835	0.015417
`Knowingpeople*G`	0.0250638601849269	0.134617	0.1862	0.852559	0.426279
Liked	0.267990498590281	0.15151	1.7688	0.079031	0.039516
`Liked*G`	0.139922302256939	0.199783	0.7004	0.484818	0.242409
Celebrity	0.737523946024839	0.295153	2.4988	0.013577	0.006789
`Celebrity*G`	-0.198880217805659	0.348175	-0.5712	0.568743	0.284372
t	-0.00161048216137737	0.003841	-0.4192	0.675654	0.337827

Multiple Linear Regression - Regression Statistics
Multiple R	0.72411450195401
R-squared	0.524341811940104
Adjusted R-squared	0.491537798970456
F-TEST (value)	15.9840752540018
F-TEST (DF numerator)	10
F-TEST (DF denominator)	145
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.09400719950607
Sum Squared Residuals	635.805591979574

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.0911472402918	1.90885275970824
2	12	11.2691788631867	0.730821136813296
3	15	14.1513946478404	0.848605352159571
4	12	11.2032436364403	0.796756363559656
5	10	10.2651794927626	-0.265179492762576
6	12	8.85258321993403	3.14741678006597
7	15	17.035344421642	-2.03534442164198
8	9	10.7088800948235	-1.70888009482352
9	12	12.7348414697225	-0.734841469722498
10	11	8.6991096946965	2.3008903053035
11	11	11.9425120976275	-0.942512097627461
12	11	12.1876384234636	-1.18763842346359
13	15	12.6040269347816	2.39597306521836
14	7	11.3163399086972	-4.3163399086972
15	11	11.8433646939026	-0.84336469390258
16	11	11.2318852072116	-0.231885207211631
17	10	12.1795860126567	-2.1795860126567
18	14	13.7984795252922	0.201520474707815
19	10	8.82839434834366	1.17160565165634
20	6	8.47354747452822	-2.47354747452822
21	11	9.42920332766743	1.57079667233257
22	15	14.0186904194266	0.981309580573407
23	11	11.9120648274811	-0.912064827481084
24	12	9.2931279884638	2.7068720115362
25	14	13.6463928955712	0.353607104428836
26	15	14.2713569173104	0.728643082689556
27	9	14.2535186332743	-5.25351863327435
28	13	13.3422184302675	-0.342218430267513
29	13	12.4771891229257	0.522810877074315
30	16	11.0933544352962	4.90664556470383
31	13	8.69393334474748	4.30606665525252
32	12	13.2042478622542	-1.20424786225418
33	14	14.7200338833542	-0.720033883354197
34	11	9.00645783517293	1.99354216482707
35	9	10.6653970764663	-1.66539707646633
36	16	13.7443809724518	2.25561902754825
37	12	13.1031702871312	-1.10317028713124
38	10	8.40322111981306	1.59677888018694
39	13	13.3807347588203	-0.380734758820316
40	16	15.6773953770989	0.322604622901092
41	14	12.7340624288785	1.26593757112154
42	15	8.58231235912411	6.41768764087589
43	5	9.64344954224065	-4.64344954224065
44	8	9.99519397941238	-1.99519397941237
45	11	11.3554921559674	-0.355492155967435
46	16	13.4691677243086	2.53083227569138
47	17	13.5050644589969	3.4949355410031
48	9	8.99469451129948	0.00530548870052034
49	9	12.2900972393082	-3.29009723930823
50	13	15.097813728918	-2.09781372891795
51	10	10.9250755109797	-0.92507551097969
52	6	11.8790571620978	-5.8790571620978
53	12	12.0023225708527	-0.0023225708527319
54	8	10.0236751454577	-2.02367514545768
55	14	12.2363484709724	1.76365152902759
56	12	12.8147128338577	-0.814712833857722
57	11	11.3803230496468	-0.380323049646818
58	16	15.1594291666709	0.84057083332906
59	8	9.29996035071288	-1.29996035071288
60	15	15.5079721764038	-0.507972176403754
61	7	9.00688732571292	-2.00688732571292
62	16	13.6968746760437	2.30312532395627
63	14	14.3235590069939	-0.323559006993875
64	16	14.1562983064803	1.84370169351968
65	9	10.2984160115376	-1.29841601153758
66	14	12.5058304290564	1.49416957094362
67	11	12.9099606434016	-1.90996064340164
68	13	10.2277812179783	2.77221878202169
69	15	13.0396427107914	1.96035728920857
70	5	5.93212652824131	-0.932126528241306
71	15	12.7905556014371	2.20944439856294
72	13	12.4961675360881	0.503832463911884
73	11	11.4648755645925	-0.464875564592471
74	11	12.4216187063003	-1.42161870630032
75	12	12.8117015296796	-0.811701529679601
76	12	13.5642583053409	-1.56425830534092
77	12	12.3233137109256	-0.323313710925574
78	12	12.5858370365119	-0.585837036511859
79	14	11.0144408093887	2.98555919061132
80	6	8.17591549856816	-2.17591549856816
81	7	9.46932100385557	-2.46932100385557
82	14	12.7597922319343	1.24020776806569
83	14	14.2656674614218	-0.265667461421804
84	10	11.5827061763212	-1.58270617632124
85	13	8.23959387987594	4.76040612012406
86	12	12.4130763467496	-0.413076346749629
87	9	8.90420099998331	0.0957990000166922
88	12	12.8745019452614	-0.874501945261393
89	16	15.1933237088842	0.806676291115756
90	10	9.67823117533438	0.321768824665623
91	14	13.4489501496121	0.551049850387913
92	10	13.8432603211222	-3.84326032112219
93	16	15.5672067241979	0.432793275802094
94	15	13.8528803079717	1.14711969202831
95	12	10.8934639598616	1.10653604013839
96	10	9.76332421010361	0.23667578989639
97	8	10.7072143384568	-2.70721433845677
98	8	8.43079460228483	-0.430794602284826
99	11	11.6325651858166	-0.632565185816637
100	13	12.4538287941096	0.546171205890404
101	16	15.8471004500945	0.152899549905545
102	16	14.8768550990587	1.12314490094128
103	14	15.4704010031992	-1.47040100319917
104	11	9.27345496846516	1.72654503153484
105	4	6.16628519203221	-2.16628519203221
106	14	14.4524141769338	-0.452414176933781
107	9	10.8762904310184	-1.87629043101842
108	14	15.4306690326576	-1.43066903265764
109	8	11.0130377827033	-3.01303778270332
110	8	11.7645386398128	-3.76453863981278
111	11	12.6229932444981	-1.62299324449806
112	12	14.1442570691425	-2.14425706914252
113	11	11.3611145866534	-0.361114586653425
114	14	13.7829966152239	0.217003384776115
115	15	13.9135015660776	1.08649843392243
116	16	13.6646404332415	2.33535956675852
117	16	13.6381968527321	2.3618031472679
118	11	12.19962367495	-1.19962367495005
119	14	13.3621965681906	0.637803431809418
120	14	10.358558584457	3.64144141554302
121	12	11.6106656971219	0.38933430287812
122	14	12.0643840647776	1.93561593522238
123	8	9.62508526400892	-1.62508526400892
124	13	13.6165008957618	-0.616500895761769
125	16	13.3525336752223	2.64746632477768
126	12	10.941502906344	1.05849709365601
127	16	15.5152050892511	0.484794910748877
128	12	13.4805132329493	-1.4805132329493
129	11	12.1077817926101	-1.10778179261013
130	4	6.41662163439912	-2.41662163439912
131	16	15.5087631606056	0.491236839394387
132	15	12.6950709481331	2.30492905186691
133	10	11.7433003743687	-1.74330037436875
134	13	13.1900649039692	-0.190064903969203
135	15	12.8506676042993	2.14933239570074
136	12	10.7826750101825	1.21732498981748
137	14	13.0708511509077	0.929148849092284
138	7	10.9046754561516	-3.90467545615163
139	19	14.2786235308686	4.72137646913142
140	12	13.1121782314972	-1.11217823149724
141	12	11.5642514562769	0.435748543723112
142	13	13.0822748538243	-0.0822748538242634
143	15	13.3348624617924	1.66513753820763
144	8	7.96384603335488	0.0361539666451202
145	12	11.0361251555697	0.96387484443031
146	10	10.4793021224613	-0.479302122461271
147	8	10.8794147490647	-2.8794147490647
148	10	14.3705532992351	-4.37055329923514
149	15	13.2944059896258	1.70559401037417
150	16	14.5343622290131	1.46563777098691
151	13	13.2031155152861	-0.203115515286098
152	16	15.2042437918371	0.795756208162925
153	9	10.3722171109399	-1.37221711093989
154	14	12.3204648404126	1.67953515958741
155	14	12.2630008501677	1.73699914983228
156	12	10.641812779391	1.35818722060903

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
14	0.262458409224725	0.524916818449451	0.737541590775275
15	0.13387335234643	0.26774670469286	0.86612664765357
16	0.110490289004253	0.220980578008505	0.889509710995747
17	0.0613305946334693	0.122661189266939	0.938669405366531
18	0.0375323320296061	0.0750646640592122	0.962467667970394
19	0.120938741283476	0.241877482566952	0.879061258716524
20	0.0812606519112916	0.162521303822583	0.918739348088708
21	0.111734599455358	0.223469198910716	0.888265400544642
22	0.170058862818588	0.340117725637175	0.829941137181412
23	0.1175910004197	0.2351820008394	0.8824089995803
24	0.30580908327397	0.61161816654794	0.69419091672603
25	0.272489342098799	0.544978684197598	0.727510657901201
26	0.216192061964731	0.432384123929461	0.783807938035269
27	0.370659179093778	0.741318358187557	0.629340820906222
28	0.317750514808796	0.635501029617592	0.682249485191204
29	0.317572955595509	0.635145911191018	0.682427044404491
30	0.585007741397638	0.829984517204725	0.414992258602362
31	0.663120785561899	0.673758428876201	0.3368792144381
32	0.654551019407052	0.690897961185895	0.345448980592948
33	0.599191531600814	0.801616936798373	0.400808468399186
34	0.565907426404317	0.868185147191365	0.434092573595683
35	0.592698166845059	0.814603666309883	0.407301833154941
36	0.611200036348652	0.777599927302695	0.388799963651348
37	0.583957120038868	0.832085759922264	0.416042879961132
38	0.603933627913419	0.792132744173162	0.396066372086581
39	0.547393068455947	0.905213863088105	0.452606931544053
40	0.493243217415245	0.98648643483049	0.506756782584755
41	0.465497813395165	0.93099562679033	0.534502186604835
42	0.683855712041688	0.632288575916623	0.316144287958312
43	0.864951970131099	0.270096059737802	0.135048029868901
44	0.893581924463931	0.212836151072138	0.106418075536069
45	0.874422606497611	0.251154787004778	0.125577393502389
46	0.892960066858591	0.214079866282817	0.107039933141409
47	0.92073529317076	0.158529413658479	0.0792647068292396
48	0.899121779634927	0.201756440730147	0.100878220365073
49	0.944569884909138	0.110860230181724	0.0554301150908622
50	0.94347459454854	0.11305081090292	0.0565254054514601
51	0.929606700813594	0.140786598372812	0.0703932991864061
52	0.985010163202789	0.0299796735944213	0.0149898367972106
53	0.980062309373286	0.0398753812534277	0.0199376906267139
54	0.985831371154864	0.0283372576902713	0.0141686288451357
55	0.986134603074309	0.0277307938513825	0.0138653969256912
56	0.982064704407215	0.0358705911855702	0.0179352955927851
57	0.979279034764832	0.0414419304703362	0.0207209652351681
58	0.973000198680252	0.0539996026394969	0.0269998013197484
59	0.971674622861564	0.0566507542768718	0.0283253771384359
60	0.964472606902847	0.0710547861943054	0.0355273930971527
61	0.961997214935219	0.0760055701295627	0.0380027850647814
62	0.969471516292416	0.0610569674151688	0.0305284837075844
63	0.96009143629549	0.0798171274090203	0.0399085637045102
64	0.959744723797948	0.0805105524041051	0.0402552762020525
65	0.95867127292781	0.0826574541443802	0.0413287270721901
66	0.95665066841966	0.0866986631606806	0.0433493315803403
67	0.955675291228972	0.0886494175420565	0.0443247087710283
68	0.963512541928293	0.0729749161434144	0.0364874580717072
69	0.966043772002472	0.0679124559950563	0.0339562279975282
70	0.957217368057052	0.0855652638858968	0.0427826319429484
71	0.959992373835102	0.0800152523297956	0.0400076261648978
72	0.949470307065195	0.10105938586961	0.0505296929348051
73	0.936906340155203	0.126187319689594	0.0630936598447972
74	0.94144878836978	0.117102423260439	0.0585512116302196
75	0.928538679879457	0.142922640241087	0.0714613201205434
76	0.92151186017388	0.156976279652241	0.0784881398261205
77	0.905749185828109	0.188501628343781	0.0942508141718906
78	0.894447420009123	0.211105159981754	0.105552579990877
79	0.91996288822715	0.1600742235457	0.0800371117728499
80	0.924115554805506	0.151768890388989	0.0758844451944944
81	0.930421721216531	0.139156557566939	0.0695782787834694
82	0.941900133677797	0.116199732644406	0.0580998663222031
83	0.926355407892037	0.147289184215927	0.0736445921079634
84	0.916012433690845	0.16797513261831	0.0839875663091552
85	0.988852018513648	0.022295962972703	0.0111479814863515
86	0.984879850025617	0.030240299948767	0.0151201499743835
87	0.979583101538275	0.0408337969234509	0.0204168984617255
88	0.978477428364939	0.0430451432701214	0.0215225716350607
89	0.973677589447888	0.0526448211042234	0.0263224105521117
90	0.966494272118754	0.0670114557624925	0.0335057278812462
91	0.958093253273076	0.0838134934538485	0.0419067467269243
92	0.981639341298046	0.0367213174039071	0.0183606587019536
93	0.976789600140332	0.0464207997193366	0.0232103998596683
94	0.973543098391788	0.052913803216424	0.026456901608212
95	0.967383443256466	0.0652331134870685	0.0326165567435342
96	0.956974307965043	0.0860513840699143	0.0430256920349572
97	0.956215845240969	0.0875683095180618	0.0437841547590309
98	0.955303136940296	0.089393726119408	0.044696863059704
99	0.979898209934851	0.0402035801302984	0.0201017900651492
100	0.97337405611347	0.0532518877730606	0.0266259438865303
101	0.964445601451436	0.0711087970971288	0.0355543985485644
102	0.95600078240686	0.0879984351862796	0.0439992175931398
103	0.944168200241607	0.111663599516785	0.0558317997583927
104	0.965206425105202	0.069587149789596	0.034793574894798
105	0.957622877357083	0.0847542452858337	0.0423771226429169
106	0.951663064118954	0.0966738717620927	0.0483369358810464
107	0.942616828516312	0.114766342967376	0.0573831714836879
108	0.94442083508996	0.11115832982008	0.0555791649100399
109	0.950710058941324	0.0985798821173513	0.0492899410586757
110	0.956355021615942	0.0872899567681158	0.0436449783840579
111	0.95264990268598	0.0947001946280398	0.0473500973140199
112	0.958581973327314	0.0828360533453724	0.0414180266726862
113	0.946381579939625	0.107236840120751	0.0536184200603754
114	0.936800285146852	0.126399429706295	0.0631997148531477
115	0.916117230095796	0.167765539808409	0.0838827699042044
116	0.910295710890544	0.179408578218911	0.0897042891094557
117	0.905082086819595	0.18983582636081	0.0949179131804048
118	0.882171134569501	0.235657730860998	0.117828865430499
119	0.852640715809153	0.294718568381694	0.147359284190847
120	0.938033934660453	0.123932130679093	0.0619660653395467
121	0.915568533295645	0.16886293340871	0.0844314667043549
122	0.894630260627343	0.210739478745314	0.105369739372657
123	0.862474787991645	0.27505042401671	0.137525212008355
124	0.820335723385823	0.359328553228354	0.179664276614177
125	0.834987702116988	0.330024595766024	0.165012297883012
126	0.811345944447021	0.377308111105959	0.188654055552979
127	0.762144797482389	0.475710405035222	0.237855202517611
128	0.763657380715639	0.472685238568722	0.236342619284361
129	0.708825289177286	0.582349421645427	0.291174710822714
130	0.655476531919645	0.689046936160711	0.344523468080355
131	0.616343294498086	0.767313411003828	0.383656705501914
132	0.635235627437152	0.729528745125696	0.364764372562848
133	0.758486512684389	0.483026974631221	0.241513487315611
134	0.772229901846618	0.455540196306765	0.227770098153382
135	0.795303875583917	0.409392248832166	0.204696124416083
136	0.768077972557151	0.463844054885699	0.231922027442849
137	0.681725950712357	0.636548098575286	0.318274049287643
138	0.956529330785047	0.0869413384299068	0.0434706692149534
139	0.992788205545587	0.0144235889088269	0.00721179445441347
140	0.98389263737676	0.0322147252464804	0.0161073626232402
141	0.959177472170541	0.0816450556589174	0.0408225278294587
142	0.888900162292654	0.222199675414693	0.111099837707346

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	15	0.116279069767442	NOK
10% type I error level	50	0.387596899224806	NOK