Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = -1.42983001087090 + 2.84020419065591G[t] + 0.255310644726744FindingFriends[t] -0.280871718072335`Findingfriends*G`[t] + 0.239737612907330KnowingPeople[t] + 0.0307639092683181`Knowingpeople*G`[t] + 0.269027325629948Liked[t] + 0.129060192292371`Liked*G`[t] + 0.736542054753873Celebrity[t] -0.197707988203980`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)	-1.42983001087090	2.268179	-0.6304	0.529427	0.264714
G	2.84020419065591	2.903248	0.9783	0.329552	0.164776
FindingFriends	0.255310644726744	0.13989	1.8251	0.070032	0.035016
`Findingfriends*G`	-0.280871718072335	0.194346	-1.4452	0.150542	0.075271
KnowingPeople	0.239737612907330	0.110822	2.1633	0.032148	0.016074
`Knowingpeople*G`	0.0307639092683181	0.13355	0.2304	0.818138	0.409069
Liked	0.269027325629948	0.151062	1.7809	0.077007	0.038504
`Liked*G`	0.129060192292371	0.197536	0.6534	0.514558	0.257279
Celebrity	0.736542054753873	0.294309	2.5026	0.01343	0.006715
`Celebrity*G`	-0.197707988203980	0.34718	-0.5695	0.569913	0.284957

Multiple Linear Regression - Regression Statistics
Multiple R	0.723716252676761
R-squared	0.523765214388493
Adjusted R-squared	0.494408275549428
F-TEST (value)	17.8412748433946
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	636.576321795309

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	10.9525163487302	2.04748365126979
2	12	11.1369615427827	0.863038457217288
3	15	14.0031863984933	0.996813601506686
4	12	11.0838897892714	0.916110210728603
5	10	10.1626634211686	-0.162663421168614
6	12	8.75001508802231	3.24998491197769
7	15	16.8823524361036	-1.88235243610357
8	9	10.6134570069151	-1.61345700691512
9	12	12.6192241272090	-0.61922412720902
10	11	8.61814080026579	2.38185919973421
11	11	11.8681599066226	-0.868159906622589
12	11	12.0892126579372	-1.08921265793722
13	15	12.5303597576888	2.46964024231116
14	7	11.1958664967663	-4.19586649676633
15	11	11.7392898673674	-0.73928986736737
16	11	11.1544600512664	-0.154460051266414
17	10	12.0892126579372	-2.08921265793722
18	14	13.6983408133356	0.301659186664381
19	10	8.76083695571348	1.23916304428652
20	6	8.42045181932718	-2.42045181932718
21	11	9.32664104099415	1.67335895900585
22	15	13.9261179295522	1.07388207044779
23	11	11.8617707175909	-0.861770717590873
24	12	9.21752981714624	2.78247018285376
25	14	13.5693062645621	0.430693735437869
26	15	14.1778160391503	0.822183960849721
27	9	14.1658555424595	-5.16585554245954
28	13	13.2603024871413	-0.260302487141271
29	13	12.4099272597149	0.590072740285095
30	16	10.9962149941551	5.00378500584487
31	13	8.6588120333124	4.3411879666876
32	12	13.1327526335656	-1.13275263356557
33	14	14.6338138447810	-0.633813844781013
34	11	8.9740795024065	2.02592049759351
35	9	10.6134570069151	-1.61345700691512
36	16	13.669051100613	2.330948899387
37	12	13.0129736895285	-1.01297368952853
38	10	8.37920160991383	1.62079839008617
39	13	13.3243658157321	-0.324365815732074
40	16	15.5984654804002	0.401534519599783
41	14	12.6670942553579	1.33290574464214
42	15	8.52829702734811	6.47170297265189
43	5	9.58452267172383	-4.58452267172383
44	8	9.95045933677143	-1.95045933677143
45	11	11.3032691647559	-0.303269164755869
46	16	13.4173529910149	2.58264700898506
47	17	13.4541207892801	3.54587921071985
48	9	8.9366421615293	0.0633578384707
49	9	12.2445287048309	-3.24452870483089
50	13	15.0340703405047	-2.03407034050474
51	10	10.8642910428057	-0.864291042805654
52	6	11.8425828957324	-5.84258289573239
53	12	11.9598419133266	0.0401580866733938
54	8	9.99532208131347	-1.99532208131347
55	14	12.1858628453307	1.81413715466927
56	12	12.7855317491822	-0.785531749182182
57	11	11.3587292670499	-0.358729267049855
58	16	15.1107535605415	0.889246439458495
59	8	9.28445720415353	-1.28445720415353
60	15	15.4687105068521	-0.468710506852143
61	7	8.98975270092965	-1.98975270092965
62	16	13.6553344197098	2.34466558029020
63	14	14.3299080553792	-0.329908055379173
64	16	14.1205408515767	1.87945914842329
65	9	10.2745542005459	-1.27455420054586
66	14	12.4894691536609	1.51053084633906
67	11	12.8775421555426	-1.87754215554257
68	13	10.2230991975301	2.77690080246994
69	15	13.0283032202108	1.97169677978916
70	5	5.92169020459031	-0.921690204590309
71	15	12.7855317491822	2.21446825081782
72	13	12.4894691536609	0.510530846339056
73	11	11.4647936556925	-0.464793655692533
74	11	12.4510773024245	-1.45107730242452
75	12	12.8089238447264	-0.808923844726368
76	12	13.5693062645621	-1.56930626456213
77	12	12.3363220845687	-0.336322084568683
78	12	12.5917134470433	-0.591713447043304
79	14	10.9962149941551	3.00378500584487
80	6	8.1832812629371	-2.18328126293710
81	7	9.4865571427762	-2.48655714277619
82	14	12.7835821423621	1.21641785763794
83	14	14.2481268473234	-0.248126847323382
84	10	11.6015007380785	-1.60150073807851
85	13	8.27053986220766	4.72946013779234
86	12	12.4136399615473	-0.413639961547326
87	9	8.93292945969688	0.0670705403031203
88	12	12.8724465118822	-0.872446511882236
89	16	15.1982089846765	0.801791015323505
90	10	9.7107217238641	0.289278276135895
91	14	13.4366222807964	0.563377719203561
92	10	13.8500393294011	-3.85003932940106
93	16	15.5729044070546	0.427095592945374
94	15	13.8909299334290	1.10907006657104
95	12	10.9267390044326	1.07326099556736
96	10	9.80195244038818	0.198047559611824
97	8	10.7215948873580	-2.72159488735796
98	8	8.46727108148916	-0.467271081489165
99	11	11.6871018858642	-0.687101885864238
100	13	12.4873001758595	0.512699824140459
101	16	15.8689670025759	0.131032997424135
102	16	14.9043153669567	1.09568463304334
103	14	15.4818026245904	-1.48180262459041
104	11	9.29891098984716	1.70108901015284
105	4	6.24558425383307	-2.24558425383307
106	14	14.4631682672050	-0.463168267205043
107	9	10.9219201229010	-1.92192012290104
108	14	15.4687105068521	-1.46871050685214
109	8	11.0495061186477	-3.04950611864772
110	8	11.7926094009810	-3.79260940098105
111	11	12.6681772960988	-1.66817729609879
112	12	14.2103846244944	-2.21038462449438
113	11	11.4052940871569	-0.405294087156949
114	14	13.8244782560555	0.175521743944527
115	15	13.9709806740942	1.02901932590575
116	16	13.7224533336544	2.27754666634561
117	16	13.6968922603088	2.3031077396912
118	11	12.2754881677111	-1.27548816771105
119	14	13.4155968068025	0.584403193197533
120	14	10.4299345625861	3.57006543741391
121	12	11.6801335649354	0.319866435064596
122	14	12.1254270689693	1.87457293103072
123	8	9.7107217238641	-1.71072172386410
124	13	13.6709074515292	-0.670907451529211
125	16	13.4155968068025	2.58440319319753
126	12	10.9940460163537	1.00595398364627
127	16	15.5707354292532	0.429264570746776
128	12	13.5693062645621	-1.56930626456213
129	11	12.1782963984387	-1.17829639843868
130	4	6.57658106396301	-2.57658106396301
131	16	15.5707354292532	0.429264570746776
132	15	12.7833627713808	2.21663722861922
133	10	11.7923900299998	-1.79239002999977
134	13	13.2579141383586	-0.257914138358588
135	15	12.9361215809878	2.06387841901219
136	12	10.8686289984085	1.13137100159154
137	14	13.1602861620757	0.839713837924277
138	7	11.0137135026388	-4.01371350263884
139	19	14.3654813004068	4.63451869959323
140	12	13.2091803404501	-1.20918034045009
141	12	11.6579123398454	0.342087660154638
142	13	13.1758591938951	-0.175859193895138
143	15	13.4153991630537	1.58460083694635
144	8	8.080984738265	-0.0809847382650022
145	12	11.1391305205841	0.860869479415891
146	10	10.5682284472844	-0.568228447284417
147	8	11.0008914616973	-3.00089146169729
148	10	14.4505560666126	-4.45055606661265
149	15	13.4000237749831	1.59997622501695
150	16	14.6316448669796	1.36835513302039
151	13	13.3221968379307	-0.322196837930670
152	16	15.3024028848790	0.69759711512102
153	9	10.4961025538317	-1.49610255383173
154	14	12.4547900042569	1.54520999574306
155	14	12.3824938979085	1.61750610209150
156	12	10.7556125009279	1.24438749907212

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
13	0.43006961522312	0.86013923044624	0.56993038477688
14	0.274888764574927	0.549777529149854	0.725111235425073
15	0.506026789806373	0.987946420387255	0.493973210193627
16	0.375166525712514	0.750333051425029	0.624833474287485
17	0.318875913845688	0.637751827691377	0.681124086154312
18	0.230799664956415	0.461599329912829	0.769200335043585
19	0.188984045098721	0.377968090197441	0.81101595490128
20	0.330147775667823	0.660295551335647	0.669852224332177
21	0.251700848401222	0.503401696802444	0.748299151598778
22	0.255607402386979	0.511214804773958	0.744392597613021
23	0.212313050608448	0.424626101216897	0.787686949391552
24	0.28648442578635	0.5729688515727	0.71351557421365
25	0.234265454143884	0.468530908287768	0.765734545856116
26	0.179541095764657	0.359082191529314	0.820458904235343
27	0.346553527185448	0.693107054370897	0.653446472814551
28	0.322788808224502	0.645577616449004	0.677211191775498
29	0.296309579479623	0.592619158959246	0.703690420520377
30	0.544032645726404	0.911934708547193	0.455967354273596
31	0.654968626300755	0.69006274739849	0.345031373699245
32	0.66377215225915	0.672455695481698	0.336227847740849
33	0.605012027841110	0.789975944317781	0.394987972158891
34	0.558794794488372	0.882410411023257	0.441205205511628
35	0.563512980439374	0.872974039121252	0.436487019560626
36	0.6048861801856	0.7902276396288	0.3951138198144
37	0.56171174699452	0.87657650601096	0.43828825300548
38	0.605394950500548	0.789210098998903	0.394605049499452
39	0.547033852166425	0.90593229566715	0.452966147833575
40	0.506119494644498	0.987761010711004	0.493880505355502
41	0.502298318708823	0.995403362582354	0.497701681291177
42	0.76025985248557	0.479480295028859	0.239740147514430
43	0.882446326927137	0.235107346145727	0.117553673072863
44	0.89201293222915	0.215974135541699	0.107987067770850
45	0.868384760568134	0.263230478863731	0.131615239431866
46	0.892444156730834	0.215111686538332	0.107555843269166
47	0.928652958343993	0.142694083312015	0.0713470416560073
48	0.90970323573131	0.180593528537380	0.0902967642686898
49	0.942853451368332	0.114293097263336	0.0571465486316681
50	0.941243581084431	0.117512837831138	0.0587564189155688
51	0.926038714763267	0.147922570473466	0.0739612852367332
52	0.983457593554058	0.0330848128918844	0.0165424064459422
53	0.977964156375552	0.0440716872488960	0.0220358436244480
54	0.984456487508796	0.0310870249824081	0.0155435124912041
55	0.984882036535365	0.0302359269292693	0.0151179634646347
56	0.980526484830116	0.0389470303397688	0.0194735151698844
57	0.97837906436449	0.0432418712710215	0.0216209356355108
58	0.972105548624488	0.0557889027510246	0.0278944513755123
59	0.973218009020024	0.0535639819599515	0.0267819909799757
60	0.965632642242348	0.0687347155153034	0.0343673577576517
61	0.964923897947721	0.070152204104557	0.0350761020522785
62	0.970263611405282	0.0594727771894363	0.0297363885947181
63	0.96157515433289	0.0768496913342197	0.0384248456671098
64	0.960153614321478	0.0796927713570447	0.0398463856785223
65	0.961843718708436	0.0763125625831282	0.0381562812915641
66	0.958179148000494	0.0836417039990122	0.0418208519995061
67	0.95731082560228	0.0853783487954407	0.0426891743977204
68	0.96429687637811	0.0714062472437784	0.0357031236218892
69	0.966022795118322	0.0679544097633558	0.0339772048816779
70	0.957271413416693	0.0854571731666132	0.0427285865833066
71	0.95976924116351	0.0804615176729782	0.0402307588364891
72	0.949151092919736	0.101697814160527	0.0508489070802636
73	0.93672650961414	0.126546980771719	0.0632734903858594
74	0.942326184308426	0.115347631383149	0.0576738156915744
75	0.930248108586298	0.139503782827404	0.069751891413702
76	0.923288147136211	0.153423705727578	0.0767118528637891
77	0.90654790374247	0.186904192515060	0.0934520962575302
78	0.897788435090235	0.204423129819531	0.102211564909765
79	0.922516867755525	0.154966264488951	0.0774831322444753
80	0.928685400972062	0.142629198055875	0.0713145990279376
81	0.936562572292374	0.126874855415252	0.063437427707626
82	0.948484365202093	0.103031269595815	0.0515156347979073
83	0.934447231901997	0.131105536196005	0.0655527680980027
84	0.927185396527686	0.145629206944629	0.0728146034723145
85	0.990505441397758	0.0189891172044847	0.00949455860224233
86	0.987003894656189	0.0259922106876229	0.0129961053438114
87	0.98228448264463	0.0354310347107399	0.0177155173553700
88	0.982014655666862	0.035970688666277	0.0179853443331385
89	0.97741463776668	0.0451707244666378	0.0225853622333189
90	0.971043633528738	0.0579127329425233	0.0289563664712616
91	0.963318846180935	0.0733623076381308	0.0366811538190654
92	0.984916147078963	0.0301677058420733	0.0150838529210367
93	0.980287379600092	0.0394252407998152	0.0197126203999076
94	0.977620320722816	0.0447593585543682	0.0223796792771841
95	0.971935732090093	0.0561285358198145	0.0280642679099072
96	0.962745888704103	0.0745082225917935	0.0372541112958968
97	0.96360399763183	0.0727920047363401	0.0363960023681701
98	0.962866782924813	0.0742664341503751	0.0371332170751875
99	0.983888543524648	0.0322229129507048	0.0161114564753524
100	0.978212342726523	0.0435753145469530	0.0217876572734765
101	0.970452619276104	0.059094761447792	0.029547380723896
102	0.962836934973764	0.0743261300524723	0.0371630650262361
103	0.953359576154336	0.0932808476913281	0.0466404238456641
104	0.97127905570085	0.0574418885983013	0.0287209442991507
105	0.965761982290385	0.0684760354192304	0.0342380177096152
106	0.960923334957236	0.0781533300855287	0.0390766650427644
107	0.954728249858872	0.0905435002822569	0.0452717501411284
108	0.955678188686967	0.0886436226260652	0.0443218113130326
109	0.96054329618955	0.0789134076209016	0.0394567038104508
110	0.965206657705316	0.0695866845893683	0.0347933422946842
111	0.95972910361321	0.0805417927735781	0.0402708963867891
112	0.961852712872646	0.0762945742547086	0.0381472871273543
113	0.94811713829389	0.103765723412219	0.0518828617061094
114	0.93234757929272	0.135304841414559	0.0676524207072793
115	0.91451642374583	0.17096715250834	0.08548357625417
116	0.915296163677018	0.169407672645964	0.0847038363229822
117	0.916635724857786	0.166728550284428	0.0833642751422142
118	0.899184794195659	0.201630411608683	0.100815205804341
119	0.869480774562666	0.261038450874669	0.130519225437334
120	0.950853862932875	0.0982922741342507	0.0491461370671254
121	0.933064059092508	0.133871881814983	0.0669359409074917
122	0.915181044858135	0.169637910283729	0.0848189551418647
123	0.88942872373317	0.221142552533660	0.110571276266830
124	0.853712135783922	0.292575728432155	0.146287864216078
125	0.865949380095356	0.268101239809289	0.134050619904644
126	0.840054927240337	0.319890145519325	0.159945072759663
127	0.799459838610168	0.401080322779664	0.200540161389832
128	0.808944729074374	0.382110541851251	0.191055270925626
129	0.761343649908805	0.47731270018239	0.238656350091195
130	0.718842669339033	0.562314661321933	0.281157330660967
131	0.68071751531851	0.63856496936298	0.31928248468149
132	0.697295346869192	0.605409306261616	0.302704653130808
133	0.80819043348079	0.38361913303842	0.19180956651921
134	0.800638798962864	0.398722402074271	0.199361201037136
135	0.852804160225776	0.294391679548448	0.147195839774224
136	0.831967804465356	0.336064391069288	0.168032195534644
137	0.764880005134963	0.470239989730074	0.235119994865037
138	0.977796206690889	0.0444075866182231	0.0222037933091115
139	0.996900374872304	0.00619925025539215	0.00309962512769608
140	0.994662528161493	0.0106749436770132	0.0053374718385066
141	0.985511284904342	0.0289774301913165	0.0144887150956582
142	0.957137969176596	0.0857240616468082	0.0428620308234041
143	0.892498843441303	0.215002313117394	0.107501156558697

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