Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -1.42983001087101 + 2.84020419065605G[t] + 0.255310644726747FindingFriends[t] -0.280871718072339`Findingfriends*G`[t] + 0.239737612907327KnowingPeople[t] + 0.0307639092683203`Knowingpeople*G`[t] + 0.269027325629953Liked[t] + 0.129060192292364`Liked*G`[t] + 0.736542054753877Celebrity[t] -0.197707988203984`Celebrity*G`[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)	-1.42983001087101	2.268179	-0.6304	0.529427	0.264714
G	2.84020419065605	2.903248	0.9783	0.329552	0.164776
FindingFriends	0.255310644726747	0.13989	1.8251	0.070032	0.035016
`Findingfriends*G`	-0.280871718072339	0.194346	-1.4452	0.150542	0.075271
KnowingPeople	0.239737612907327	0.110822	2.1633	0.032148	0.016074
`Knowingpeople*G`	0.0307639092683203	0.13355	0.2304	0.818138	0.409069
Liked	0.269027325629953	0.151062	1.7809	0.077007	0.038504
`Liked*G`	0.129060192292364	0.197536	0.6534	0.514558	0.257279
Celebrity	0.736542054753877	0.294309	2.5026	0.01343	0.006715
`Celebrity*G`	-0.197707988203984	0.34718	-0.5695	0.569913	0.284957

Multiple Linear Regression - Regression Statistics
Multiple R	0.723716252676761
R-squared	0.523765214388494
Adjusted R-squared	0.494408275549428
F-TEST (value)	17.8412748433947
F-TEST (DF numerator)	9
F-TEST (DF denominator)	146
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.08808807120738
Sum Squared Residuals	636.576321795308

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	10.9525163487303	2.04748365126968
2	12	11.1369615427827	0.863038457217293
3	15	14.0031863984933	0.996813601506678
4	12	11.0838897892714	0.916110210728592
5	10	10.1626634211686	-0.162663421168602
6	12	8.75001508802231	3.24998491197769
7	15	16.8823524361036	-1.88235243610356
8	9	10.6134570069151	-1.61345700691512
9	12	12.619224127209	-0.619224127209015
10	11	8.6181408002658	2.3818591997342
11	11	11.8681599066226	-0.868159906622564
12	11	12.0892126579372	-1.08921265793722
13	15	12.5303597576888	2.46964024231116
14	7	11.1958664967663	-4.19586649676632
15	11	11.7392898673674	-0.739289867367392
16	11	11.1544600512664	-0.154460051266416
17	10	12.0892126579372	-2.08921265793722
18	14	13.6983408133356	0.301659186664373
19	10	8.76083695571349	1.23916304428651
20	6	8.42045181932716	-2.42045181932716
21	11	9.32664104099415	1.67335895900585
22	15	13.9261179295522	1.07388207044778
23	11	11.8617707175909	-0.86177071759088
24	12	9.21752981714624	2.78247018285376
25	14	13.5693062645621	0.430693735437869
26	15	14.1778160391503	0.822183960849718
27	9	14.1658555424596	-5.16585554245955
28	13	13.2603024871413	-0.260302487141274
29	13	12.4099272597149	0.590072740285101
30	16	10.9962149941551	5.00378500584487
31	13	8.65881203331241	4.34118796668759
32	12	13.1327526335656	-1.13275263356557
33	14	14.633813844781	-0.63381384478101
34	11	8.97407950240648	2.02592049759352
35	9	10.6134570069151	-1.61345700691512
36	16	13.669051100613	2.330948899387
37	12	13.0129736895285	-1.01297368952853
38	10	8.3792016099138	1.6207983900862
39	13	13.3243658157321	-0.324365815732075
40	16	15.5984654804002	0.401534519599787
41	14	12.6670942553579	1.33290574464214
42	15	8.52829702734812	6.47170297265188
43	5	9.58452267172383	-4.58452267172383
44	8	9.95045933677143	-1.95045933677142
45	11	11.3032691647559	-0.303269164755873
46	16	13.4173529910149	2.58264700898506
47	17	13.4541207892801	3.54587921071985
48	9	8.93664216152929	0.0633578384707053
49	9	12.2445287048309	-3.24452870483089
50	13	15.0340703405047	-2.03407034050473
51	10	10.8642910428057	-0.864291042805654
52	6	11.8425828957324	-5.84258289573237
53	12	11.9598419133266	0.0401580866733899
54	8	9.99532208131347	-1.99532208131347
55	14	12.1858628453307	1.81413715466927
56	12	12.7855317491822	-0.785531749182182
57	11	11.3587292670499	-0.358729267049861
58	16	15.1107535605415	0.889246439458497
59	8	9.28445720415353	-1.28445720415353
60	15	15.4687105068521	-0.468710506852142
61	7	8.98975270092964	-1.98975270092964
62	16	13.6553344197098	2.3446655802902
63	14	14.3299080553792	-0.32990805537918
64	16	14.1205408515767	1.87945914842329
65	9	10.2745542005459	-1.27455420054587
66	14	12.4894691536609	1.51053084633906
67	11	12.8775421555426	-1.87754215554256
68	13	10.2230991975301	2.77690080246993
69	15	13.0283032202108	1.97169677978916
70	5	5.92169020459028	-0.921690204590281
71	15	12.7855317491822	2.21446825081782
72	13	12.4894691536609	0.510530846339057
73	11	11.4647936556925	-0.464793655692535
74	11	12.4510773024245	-1.45107730242452
75	12	12.8089238447264	-0.808923844726372
76	12	13.5693062645621	-1.56930626456213
77	12	12.3363220845687	-0.336322084568682
78	12	12.5917134470433	-0.59171344704331
79	14	10.9962149941551	3.00378500584487
80	6	8.1832812629371	-2.1832812629371
81	7	9.48655714277619	-2.48655714277619
82	14	12.7835821423621	1.21641785763793
83	14	14.2481268473234	-0.248126847323378
84	10	11.6015007380785	-1.60150073807851
85	13	8.27053986220766	4.72946013779234
86	12	12.4136399615473	-0.413639961547329
87	9	8.93292945969687	0.0670705403031345
88	12	12.8724465118822	-0.87244651188224
89	16	15.1982089846765	0.801791015323506
90	10	9.7107217238641	0.289278276135902
91	14	13.4366222807964	0.563377719203565
92	10	13.8500393294011	-3.85003932940106
93	16	15.5729044070546	0.427095592945378
94	15	13.890929933429	1.10907006657104
95	12	10.9267390044326	1.07326099556737
96	10	9.80195244038818	0.198047559611822
97	8	10.721594887358	-2.72159488735797
98	8	8.46727108148916	-0.467271081489156
99	11	11.6871018858642	-0.687101885864228
100	13	12.4873001758595	0.512699824140459
101	16	15.8689670025759	0.13103299742414
102	16	14.9043153669567	1.09568463304334
103	14	15.4818026245904	-1.48180262459043
104	11	9.29891098984716	1.70108901015284
105	4	6.24558425383306	-2.24558425383306
106	14	14.463168267205	-0.463168267205038
107	9	10.921920122901	-1.92192012290105
108	14	15.4687105068521	-1.46871050685214
109	8	11.0495061186477	-3.04950611864771
110	8	11.7926094009811	-3.79260940098105
111	11	12.6681772960988	-1.6681772960988
112	12	14.2103846244944	-2.21038462449439
113	11	11.4052940871569	-0.40529408715695
114	14	13.8244782560555	0.175521743944531
115	15	13.9709806740943	1.02901932590573
116	16	13.7224533336544	2.27754666634561
117	16	13.6968922603088	2.3031077396912
118	11	12.2754881677111	-1.27548816771108
119	14	13.4155968068025	0.584403193197531
120	14	10.4299345625861	3.57006543741392
121	12	11.6801335649354	0.319866435064598
122	14	12.1254270689693	1.87457293103073
123	8	9.7107217238641	-1.7107217238641
124	13	13.6709074515292	-0.670907451529216
125	16	13.4155968068025	2.58440319319753
126	12	10.9940460163537	1.00595398364627
127	16	15.5707354292532	0.42926457074678
128	12	13.5693062645621	-1.56930626456213
129	11	12.1782963984387	-1.17829639843868
130	4	6.57658106396303	-2.57658106396303
131	16	15.5707354292532	0.42926457074678
132	15	12.7833627713808	2.21663722861922
133	10	11.7923900299998	-1.79239002999976
134	13	13.2579141383586	-0.257914138358582
135	15	12.9361215809878	2.06387841901219
136	12	10.8686289984085	1.13137100159154
137	14	13.1602861620757	0.839713837924278
138	7	11.0137135026388	-4.01371350263884
139	19	14.3654813004068	4.63451869959323
140	12	13.2091803404501	-1.20918034045009
141	12	11.6579123398453	0.342087660154658
142	13	13.1758591938951	-0.175859193895142
143	15	13.4153991630536	1.58460083694635
144	8	8.08098473826496	-0.080984738264962
145	12	11.1391305205841	0.860869479415893
146	10	10.5682284472844	-0.568228447284415
147	8	11.0008914616973	-3.0008914616973
148	10	14.4505560666127	-4.45055606661266
149	15	13.400023774983	1.59997622501695
150	16	14.6316448669796	1.36835513302039
151	13	13.3221968379307	-0.322196837930673
152	16	15.302402884879	0.697597115121026
153	9	10.4961025538317	-1.49610255383173
154	14	12.4547900042569	1.54520999574306
155	14	12.3824938979085	1.61750610209151
156	12	10.7556125009279	1.24438749907212

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.430069615223123	0.860139230446245	0.569930384776877
14	0.274888764574922	0.549777529149844	0.725111235425078
15	0.506026789806371	0.987946420387259	0.493973210193629
16	0.375166525712516	0.750333051425032	0.624833474287484
17	0.318875913845689	0.637751827691378	0.681124086154311
18	0.230799664956417	0.461599329912834	0.769200335043583
19	0.188984045098725	0.377968090197449	0.811015954901275
20	0.330147775667826	0.660295551335652	0.669852224332174
21	0.251700848401222	0.503401696802444	0.748299151598778
22	0.255607402386979	0.511214804773957	0.744392597613021
23	0.212313050608447	0.424626101216894	0.787686949391553
24	0.28648442578635	0.572968851572701	0.71351557421365
25	0.234265454143882	0.468530908287765	0.765734545856118
26	0.179541095764658	0.359082191529316	0.820458904235342
27	0.346553527185449	0.693107054370898	0.653446472814551
28	0.3227888082245	0.645577616449	0.6772111917755
29	0.296309579479623	0.592619158959246	0.703690420520377
30	0.5440326457264	0.9119347085472	0.4559673542736
31	0.654968626300755	0.690062747398491	0.345031373699245
32	0.663772152259153	0.672455695481694	0.336227847740847
33	0.60501202784111	0.789975944317781	0.39498797215889
34	0.558794794488371	0.882410411023259	0.441205205511629
35	0.563512980439373	0.872974039121254	0.436487019560627
36	0.604886180185599	0.790227639628802	0.395113819814401
37	0.56171174699452	0.87657650601096	0.43828825300548
38	0.605394950500548	0.789210098998904	0.394605049499452
39	0.547033852166422	0.905932295667156	0.452966147833578
40	0.506119494644498	0.987761010711003	0.493880505355502
41	0.502298318708825	0.995403362582351	0.497701681291175
42	0.760259852485568	0.479480295028863	0.239740147514432
43	0.882446326927136	0.235107346145729	0.117553673072864
44	0.892012932229151	0.215974135541698	0.107987067770849
45	0.868384760568135	0.263230478863731	0.131615239431865
46	0.892444156730835	0.21511168653833	0.107555843269165
47	0.928652958343992	0.142694083312016	0.071347041656008
48	0.90970323573131	0.180593528537381	0.0902967642686905
49	0.942853451368332	0.114293097263336	0.0571465486316681
50	0.941243581084431	0.117512837831139	0.0587564189155695
51	0.926038714763268	0.147922570473463	0.0739612852367316
52	0.983457593554058	0.0330848128918846	0.0165424064459423
53	0.977964156375552	0.0440716872488965	0.0220358436244483
54	0.984456487508796	0.0310870249824084	0.0155435124912042
55	0.984882036535365	0.0302359269292692	0.0151179634646346
56	0.980526484830116	0.0389470303397688	0.0194735151698844
57	0.978379064364489	0.043241871271022	0.021620935635511
58	0.972105548624488	0.055788902751024	0.027894451375512
59	0.973218009020024	0.0535639819599512	0.0267819909799756
60	0.965632642242348	0.0687347155153035	0.0343673577576517
61	0.964923897947721	0.0701522041045578	0.0350761020522789
62	0.970263611405282	0.0594727771894352	0.0297363885947176
63	0.96157515433289	0.0768496913342197	0.0384248456671099
64	0.960153614321477	0.079692771357045	0.0398463856785225
65	0.961843718708436	0.0763125625831275	0.0381562812915638
66	0.958179148000494	0.0836417039990121	0.041820851999506
67	0.95731082560228	0.0853783487954405	0.0426891743977203
68	0.964296876378111	0.0714062472437786	0.0357031236218893
69	0.966022795118322	0.0679544097633556	0.0339772048816778
70	0.957271413416692	0.0854571731666151	0.0427285865833075
71	0.959769241163511	0.0804615176729781	0.040230758836489
72	0.949151092919737	0.101697814160527	0.0508489070802634
73	0.93672650961414	0.12654698077172	0.06327349038586
74	0.942326184308425	0.115347631383149	0.0576738156915746
75	0.930248108586299	0.139503782827403	0.0697518914137013
76	0.923288147136212	0.153423705727576	0.076711852863788
77	0.906547903742471	0.186904192515058	0.0934520962575291
78	0.897788435090234	0.204423129819532	0.102211564909766
79	0.922516867755525	0.154966264488951	0.0774831322444755
80	0.928685400972063	0.142629198055873	0.0713145990279366
81	0.936562572292374	0.126874855415251	0.0634374277076255
82	0.948484365202093	0.103031269595814	0.0515156347979071
83	0.934447231901996	0.131105536196008	0.0655527680980039
84	0.927185396527688	0.145629206944624	0.0728146034723121
85	0.990505441397758	0.0189891172044848	0.0094945586022424
86	0.987003894656189	0.0259922106876224	0.0129961053438112
87	0.98228448264463	0.0354310347107406	0.0177155173553703
88	0.982014655666861	0.0359706886662776	0.0179853443331388
89	0.977414637766681	0.0451707244666384	0.0225853622333192
90	0.971043633528738	0.0579127329425244	0.0289563664712622
91	0.963318846180936	0.0733623076381289	0.0366811538190644
92	0.984916147078963	0.0301677058420732	0.0150838529210366
93	0.980287379600093	0.0394252407998147	0.0197126203999074
94	0.977620320722816	0.044759358554368	0.022379679277184
95	0.971935732090093	0.0561285358198144	0.0280642679099072
96	0.962745888704103	0.0745082225917931	0.0372541112958965
97	0.96360399763183	0.0727920047363391	0.0363960023681695
98	0.962866782924812	0.0742664341503761	0.0371332170751881
99	0.983888543524648	0.0322229129507048	0.0161114564753524
100	0.978212342726523	0.0435753145469535	0.0217876572734767
101	0.970452619276104	0.0590947614477921	0.0295473807238961
102	0.962836934973764	0.0743261300524725	0.0371630650262362
103	0.953359576154337	0.093280847691327	0.0466404238456635
104	0.971279055700849	0.0574418885983018	0.0287209442991509
105	0.965761982290385	0.0684760354192304	0.0342380177096152
106	0.960923334957236	0.078153330085528	0.039076665042764
107	0.954728249858873	0.0905435002822546	0.0452717501411273
108	0.955678188686966	0.0886436226260672	0.0443218113130336
109	0.960543296189549	0.078913407620902	0.039456703810451
110	0.965206657705316	0.0695866845893684	0.0347933422946842
111	0.959729103613211	0.0805417927735786	0.0402708963867893
112	0.961852712872646	0.076294574254708	0.038147287127354
113	0.94811713829389	0.103765723412219	0.0518828617061097
114	0.93234757929272	0.13530484141456	0.0676524207072802
115	0.914516423745829	0.170967152508341	0.0854835762541707
116	0.915296163677018	0.169407672645965	0.0847038363229823
117	0.916635724857786	0.166728550284429	0.0833642751422144
118	0.899184794195659	0.201630411608682	0.100815205804341
119	0.869480774562665	0.26103845087467	0.130519225437335
120	0.950853862932875	0.0982922741342508	0.0491461370671254
121	0.933064059092508	0.133871881814983	0.0669359409074915
122	0.915181044858135	0.16963791028373	0.0848189551418649
123	0.889428723733168	0.221142552533663	0.110571276266832
124	0.853712135783923	0.292575728432154	0.146287864216077
125	0.865949380095356	0.268101239809287	0.134050619904644
126	0.840054927240337	0.319890145519325	0.159945072759663
127	0.799459838610169	0.401080322779663	0.200540161389831
128	0.808944729074374	0.382110541851252	0.191055270925626
129	0.761343649908805	0.47731270018239	0.238656350091195
130	0.718842669339033	0.562314661321934	0.281157330660967
131	0.68071751531851	0.63856496936298	0.31928248468149
132	0.697295346869192	0.605409306261616	0.302704653130808
133	0.80819043348079	0.38361913303842	0.19180956651921
134	0.800638798962863	0.398722402074273	0.199361201037137
135	0.852804160225774	0.294391679548451	0.147195839774226
136	0.831967804465355	0.336064391069291	0.168032195534645
137	0.764880005134964	0.470239989730073	0.235119994865036
138	0.977796206690887	0.0444075866182255	0.0222037933091127
139	0.996900374872304	0.00619925025539222	0.00309962512769611
140	0.994662528161493	0.0106749436770133	0.00533747183850665
141	0.985511284904342	0.0289774301913162	0.0144887150956581
142	0.957137969176596	0.0857240616468077	0.0428620308234038
143	0.892498843441304	0.215002313117391	0.107501156558696

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	1	0.00763358778625954	OK
5% type I error level	20	0.152671755725191	NOK
10% type I error level	54	0.412213740458015	NOK