Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.100276382934112 + 0.157263405271108FindingFriends[t] + 0.236372152928434KnowingPeople[t] + 0.323351350417035Liked[t] + 0.666471137832579Celebrity[t] -0.0593960178122206B[t] + 0.20312779537524`2B`[t] + 0.500771877991365`3B`[t] -0.104817868555572M1[t] -0.531890927774699M2[t] -0.906326361891386M3[t] -0.42086638214816M4[t] + 0.265856736325493M5[t] -1.09338003746871M6[t] -1.29051116073166M7[t] + 0.50770470226122M8[t] -0.960871026350095M9[t] -0.397549712140203M10[t] -0.768379620810554M11[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)	0.100276382934112	1.575466	0.0636	0.949343	0.474671
FindingFriends	0.157263405271108	0.101728	1.5459	0.124431	0.062216
KnowingPeople	0.236372152928434	0.06331	3.7336	0.000276	0.000138
Liked	0.323351350417035	0.101942	3.1719	0.001869	0.000935
Celebrity	0.666471137832579	0.164994	4.0394	8.9e-05	4.4e-05
B	-0.0593960178122206	0.22941	-0.2589	0.796095	0.398048
`2B`	0.20312779537524	0.281529	0.7215	0.471822	0.235911
`3B`	0.500771877991365	0.340941	1.4688	0.144181	0.072091
M1	-0.104817868555572	0.842703	-0.1244	0.901194	0.450597
M2	-0.531890927774699	0.837472	-0.6351	0.526413	0.263207
M3	-0.906326361891386	0.841743	-1.0767	0.283495	0.141747
M4	-0.42086638214816	0.847106	-0.4968	0.620106	0.310053
M5	0.265856736325493	0.831778	0.3196	0.74974	0.37487
M6	-1.09338003746871	0.836023	-1.3078	0.193119	0.09656
M7	-1.29051116073166	0.850436	-1.5175	0.131452	0.065726
M8	0.50770470226122	0.853539	0.5948	0.552943	0.276471
M9	-0.960871026350095	0.843937	-1.1386	0.256875	0.128437
M10	-0.397549712140203	0.835074	-0.4761	0.634786	0.317393
M11	-0.768379620810554	0.838042	-0.9169	0.360819	0.18041

Multiple Linear Regression - Regression Statistics
Multiple R	0.738146206087162
R-squared	0.544859821560871
Adjusted R-squared	0.485060382057919
F-TEST (value)	9.1114536539089
F-TEST (DF numerator)	18
F-TEST (DF denominator)	137
p-value	6.66133814775094e-16
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10730300856287
Sum Squared Residuals	608.379457876042

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	15	13.4582148002744	1.54178519972559
2	12	11.6626797386441	0.337320261355937
3	9	10.7515854233561	-1.75158542335612
4	10	12.0457075782519	-2.04570757825191
5	13	13.6164596405316	-0.616459640531612
6	16	14.2982718039909	1.70172819600908
7	14	11.9721584559423	2.02784154405769
8	16	14.7466651794767	1.25333482052328
9	10	10.4108213668964	-0.410821366896409
10	8	10.7322967065934	-2.73229670659337
11	12	11.8475315878759	0.152468412124053
12	15	15.557795493759	-0.557795493758962
13	14	11.1695278536034	2.83047214639665
14	14	12.6091224404013	1.39087755959866
15	12	12.8015146076379	-0.801514607637853
16	12	11.2219730351482	0.778026964851774
17	10	10.3670206118581	-0.367020611858071
18	4	6.09147478972572	-2.09147478972572
19	14	14.4704121284025	-0.47041212840254
20	15	15.1705273550904	-0.170527355090445
21	16	12.8615220936694	3.13847790633065
22	12	10.7898168125301	1.21018318746988
23	12	11.7132007737125	0.286799226287543
24	12	11.7213827602149	0.27861723978512
25	12	11.7508957058228	0.249104294177201
26	12	11.9575599165796	0.0424400834204132
27	11	7.86064949062879	3.13935050937121
28	11	12.7140311890182	-1.71403118901817
29	11	12.8761624742886	-1.87616247428859
30	11	11.2093152497399	-0.209315249739901
31	11	10.518225099373	0.481774900626972
32	11	9.21446663422095	1.78553336577905
33	15	13.6940811766479	1.30591882335215
34	15	14.6233991622275	0.376600837772497
35	9	14.1229447351158	-5.12294473511583
36	16	11.0712179267837	4.92878207321632
37	13	9.61879261392553	3.38120738607447
38	9	10.218993388731	-1.21899338873096
39	16	13.5548990091309	2.44510099086915
40	12	12.7793894765746	-0.779389476574584
41	15	9.5211865554096	5.47881344459041
42	5	9.13645426646165	-4.13645426646165
43	11	10.597146490738	0.402853509261961
44	17	14.0301989872315	2.96980101276855
45	9	8.87318438125444	0.126815618745559
46	13	14.5442904145702	-1.54429041457018
47	16	13.7016702900865	2.2983297099135
48	16	14.2951374258763	1.70486257412369
49	14	14.6636948198169	-0.663694819816935
50	16	13.3971941195785	2.60280588042155
51	11	12.5057362102224	-1.50573621022242
52	11	11.8686757359823	-0.868675735982295
53	11	14.1147234759694	-3.11472347596939
54	12	11.6183906157346	0.381609384265384
55	12	13.0894064173536	-1.08940641735356
56	12	13.1741873888851	-1.17418738888512
57	14	13.1145892363039	0.885410763696123
58	10	10.9692342642606	-0.969234264260633
59	9	9.25842508978436	-0.258425089784361
60	12	12.4846117254544	-0.484611725454421
61	10	10.3988061050514	-0.398806105051366
62	14	12.834452876094	1.16554712390603
63	8	9.44267685207114	-1.44267685207114
64	16	14.5683253612371	1.43167463876289
65	14	16.3459025095284	-2.34590250952838
66	14	10.1193603949235	3.88063960507647
67	12	10.4028440273487	1.59715597265128
68	14	14.3498105521258	-0.349810552125769
69	7	10.6235374819635	-3.62353748196349
70	19	13.9845669112247	5.01543308877529
71	15	12.3677739243778	2.6322260756222
72	8	11.7376890646163	-3.73768906461626
73	10	14.7490889706227	-4.74908897062267
74	13	13.0036142685323	-0.00361426853231367
75	13	10.7505653994844	2.24943460051561
76	10	10.5049861265316	-0.504986126531649
77	12	9.7875286715141	2.21247132848591
78	15	16.6892681443786	-1.68926814437861
79	7	10.3346234696617	-3.33462346966168
80	14	15.0559092707721	-1.05590927077206
81	10	8.09995459014887	1.90004540985113
82	6	9.76305267609099	-3.76305267609099
83	11	11.0544536717411	-0.0544536717410568
84	12	9.86479172260414	2.13520827739586
85	14	14.632139809958	-0.632139809958001
86	12	13.3190951691181	-1.31909516911807
87	14	13.9058892463777	0.094110753622328
88	11	9.9854101282601	1.01458987173991
89	10	10.0418478826802	-0.0418478826801826
90	13	12.749170204854	0.250829795146043
91	8	9.4494849658037	-1.44948496580371
92	9	12.7102676229031	-3.71026762290307
93	6	11.6560499795334	-5.65604997953335
94	12	13.2277757023603	-1.2277757023603
95	14	11.985082263302	2.01491773669805
96	11	10.89821362185	0.101786378149977
97	8	10.7136658937449	-2.71366589374489
98	7	9.22615316034233	-2.22615316034233
99	9	10.1471529489625	-1.14715294896246
100	14	12.259667856444	1.74033214355596
101	13	11.1204709471793	1.87952905282075
102	15	12.1692895792053	2.83071042079473
103	5	4.90664053546203	0.0933594645379717
104	15	13.2079516706985	1.79204832930148
105	13	11.8384552478665	1.16154475213346
106	12	11.5695951456168	0.430404854383241
107	6	7.46770165538778	-1.46770165538778
108	7	10.1881430730212	-3.18814307302118
109	13	8.94410976077616	4.05589023922384
110	16	14.9332641906188	1.06673580938115
111	10	12.8457825503456	-2.84578255034555
112	16	15.1874448823948	0.812555117605199
113	15	13.9231160012426	1.07688399875745
114	8	7.93885260215693	0.0611473978430705
115	11	11.5597085507878	-0.559708550787802
116	13	14.4077852771954	-1.40778527719541
117	16	14.667152968038	1.33284703196203
118	11	8.66020245706635	2.33979754293365
119	14	14.2454332692655	-0.245433269265491
120	9	10.560320846528	-1.56032084652795
121	8	10.4581464157102	-2.45814641571018
122	8	10.7541093361781	-2.75410933617805
123	11	11.343532468272	-0.343532468271953
124	12	13.3519650571308	-1.35196505713083
125	11	11.87270936418	-0.872709364179983
126	14	14.0206638313973	-0.0206638313973066
127	11	11.844687502302	-0.844687502302047
128	14	13.3324048841998	0.667595115800225
129	13	14.3410371676024	-1.34103716760242
130	12	10.8673950466192	1.13260495338081
131	4	5.96752687486148	-1.96752687486148
132	15	13.4541416962166	1.5458583037834
133	10	11.6131027590622	-1.61310275906218
134	13	13.9096319400772	-0.909631940077212
135	15	13.8249701387454	1.17502986125463
136	12	13.2681602404261	-1.26816024042611
137	13	14.0882498563449	-1.08824985634494
138	8	7.54924458129335	0.450755418706653
139	10	9.88328044923307	0.116719550766925
140	15	14.6455787228664	0.354421277133577
141	16	14.0450714138947	1.95492858610533
142	16	14.9743893994743	1.02561060052568
143	14	12.5900937332268	1.40990626677316
144	14	13.6629306694687	0.337069330531349
145	12	10.8298144916315	1.17018550836847
146	15	13.1741294551048	1.82587054489521
147	13	12.2650456547654	0.734954345234571
148	16	13.2442633326002	2.75573666739982
149	14	14.3246220092734	-0.324622009273371
150	8	9.41024393613823	-1.41024393613823
151	16	12.9713819075915	3.02861809240854
152	16	16.9542464543343	-0.954246454334277
153	12	12.7745428961807	-0.774542896180748
154	11	12.2939853013656	-1.29398530136558
155	16	15.6781621312625	0.321837868737497
156	9	10.5036239736069	-1.50362397360694

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
22	0.323786208970121	0.647572417940241	0.67621379102988
23	0.198177397469349	0.396354794938699	0.80182260253065
24	0.149863051390141	0.299726102780283	0.850136948609859
25	0.0961110260149067	0.192222052029813	0.903888973985093
26	0.195961037724433	0.391922075448866	0.804038962275567
27	0.336483767954478	0.672967535908955	0.663516232045522
28	0.379681503157996	0.759363006315991	0.620318496842004
29	0.380717951546443	0.761435903092886	0.619282048453557
30	0.296831171299768	0.593662342599537	0.703168828700232
31	0.229199644117799	0.458399288235597	0.770800355882201
32	0.178552350860857	0.357104701721715	0.821447649139143
33	0.13065102605307	0.26130205210614	0.86934897394693
34	0.0915350425122398	0.18307008502448	0.90846495748776
35	0.20053174405398	0.401063488107961	0.79946825594602
36	0.394900035811142	0.789800071622283	0.605099964188858
37	0.361869018688302	0.723738037376604	0.638130981311698
38	0.342066949724391	0.684133899448782	0.657933050275609
39	0.38607005002474	0.77214010004948	0.61392994997526
40	0.333397101271001	0.666794202542001	0.666602898728999
41	0.621330333419953	0.757339333160095	0.378669666580047
42	0.740339915761034	0.519320168477932	0.259660084238966
43	0.687405978808893	0.625188042382215	0.312594021191107
44	0.680095001737681	0.639809996524638	0.319904998262319
45	0.622781026795824	0.754437946408351	0.377218973204175
46	0.59141748857988	0.81716502284024	0.40858251142012
47	0.594084544590765	0.811830910818469	0.405915455409235
48	0.548737836029669	0.902524327940662	0.451262163970331
49	0.519180899919437	0.961638200161127	0.480819100080563
50	0.561312739682893	0.877374520634215	0.438687260317108
51	0.515894147560252	0.968211704879496	0.484105852439748
52	0.469586952950472	0.939173905900945	0.530413047049528
53	0.710443374086939	0.579113251826123	0.289556625913061
54	0.67923499827972	0.641530003440561	0.320765001720281
55	0.648880044245457	0.702239911509086	0.351119955754543
56	0.608676855808446	0.782646288383107	0.391323144191554
57	0.570615405681939	0.858769188636122	0.429384594318061
58	0.526509114058141	0.946981771883718	0.473490885941859
59	0.474102407439848	0.948204814879696	0.525897592560152
60	0.510421893827865	0.97915621234427	0.489578106172135
61	0.480446035485245	0.96089207097049	0.519553964514755
62	0.439403451722482	0.878806903444964	0.560596548277518
63	0.401920933884559	0.803841867769118	0.598079066115441
64	0.399032709060042	0.798065418120083	0.600967290939958
65	0.429050361096252	0.858100722192503	0.570949638903748
66	0.5549283365334	0.890143326933201	0.445071663466601
67	0.523609840280777	0.952780319438446	0.476390159719223
68	0.472987052619486	0.945974105238973	0.527012947380514
69	0.654607773620145	0.69078445275971	0.345392226379855
70	0.823908630916631	0.352182738166738	0.176091369083369
71	0.835886132041156	0.328227735917688	0.164113867958844
72	0.896528124400598	0.206943751198805	0.103471875599402
73	0.967267822148519	0.0654643557029626	0.0327321778514813
74	0.956531634055944	0.0869367318881115	0.0434683659440557
75	0.953791026213446	0.0924179475731086	0.0462089737865543
76	0.941879999945265	0.11624000010947	0.0581200000547348
77	0.944198805898018	0.111602388203964	0.0558011941019821
78	0.941781513592634	0.116436972814732	0.0582184864073662
79	0.965742578495343	0.0685148430093132	0.0342574215046566
80	0.957493799151066	0.0850124016978676	0.0425062008489338
81	0.9617364261034	0.0765271477931981	0.0382635738965991
82	0.984655822673408	0.0306883546531838	0.0153441773265919
83	0.979598767899615	0.0408024642007709	0.0204012321003854
84	0.982230332428989	0.0355393351420223	0.0177696675710111
85	0.977078983804692	0.0458420323906168	0.0229210161953084
86	0.972338743576207	0.055322512847587	0.0276612564237935
87	0.96307419146394	0.0738516170721186	0.0369258085360593
88	0.957132415764648	0.0857351684707041	0.042867584235352
89	0.95229660547926	0.0954067890414813	0.0477033945207406
90	0.937710250321273	0.124579499357455	0.0622897496787274
91	0.928252920939812	0.143494158120376	0.0717470790601879
92	0.949666456406607	0.100667087186785	0.0503335435933926
93	0.993098667797613	0.0138026644047735	0.00690133220238673
94	0.992537120371463	0.0149257592570737	0.00746287962853684
95	0.991380026397147	0.0172399472057061	0.00861997360285305
96	0.988940670402795	0.0221186591944098	0.0110593295972049
97	0.992269810918166	0.0154603781636682	0.00773018908183411
98	0.991610291485868	0.0167794170282634	0.00838970851413171
99	0.988966881784174	0.0220662364316526	0.0110331182158263
100	0.985705647743316	0.0285887045133674	0.0142943522566837
101	0.990727092538387	0.0185458149232253	0.00927290746161265
102	0.991572259887247	0.0168554802255069	0.00842774011275347
103	0.988604291002227	0.0227914179955469	0.0113957089977735
104	0.987023136191883	0.0259537276162336	0.0129768638081168
105	0.984184437498218	0.0316311250035646	0.0158155625017823
106	0.978283414954385	0.0434331700912301	0.021716585045615
107	0.970961546161185	0.0580769076776291	0.0290384538388145
108	0.977099354499593	0.0458012910008136	0.0229006455004068
109	0.996053221047057	0.00789355790588693	0.00394677895294347
110	0.994850677856218	0.0102986442875637	0.00514932214378185
111	0.998032013693346	0.0039359726133082	0.0019679863066541
112	0.99674425131662	0.00651149736675871	0.00325574868337935
113	0.995998354945618	0.00800329010876354	0.00400164505438177
114	0.993237243750193	0.0135255124996137	0.00676275624980684
115	0.9899651489014	0.0200697021972018	0.0100348510986009
116	0.984385831565707	0.0312283368685855	0.0156141684342927
117	0.979967684727494	0.0400646305450116	0.0200323152725058
118	0.986632285117811	0.0267354297643771	0.0133677148821886
119	0.97958092075763	0.0408381584847393	0.0204190792423697
120	0.969442057697838	0.061115884604324	0.030557942302162
121	0.969029055492585	0.0619418890148293	0.0309709445074146
122	0.95671267376444	0.0865746524711214	0.0432873262355607
123	0.943033813267005	0.113932373465989	0.0569661867329947
124	0.967809026146156	0.0643819477076885	0.0321909738538443
125	0.95642240861324	0.0871551827735214	0.0435775913867607
126	0.928827684892496	0.142344630215008	0.0711723151075038
127	0.903779695915307	0.192440608169386	0.096220304084693
128	0.862879597584109	0.274240804831783	0.137120402415891
129	0.827821751134548	0.344356497730905	0.172178248865452
130	0.851672376148246	0.296655247703508	0.148327623851754
131	0.785788146275578	0.428423707448844	0.214211853724422
132	0.750035187748658	0.499929624502684	0.249964812251342
133	0.982769413527077	0.0344611729458458	0.0172305864729229
134	0.973379412686258	0.0532411746274847	0.0266205873137423

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	4	0.0353982300884956	NOK
5% type I error level	31	0.274336283185841	NOK
10% type I error level	48	0.424778761061947	NOK