Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.303717782313307 + 0.176147992195911FindingFriends[t] -0.151288107973995`Findingfriends*G`[t] + 0.240478962981778KnowingPeople[t] + 0.0325063503433276`Knowingpeople*G`[t] + 0.215766283815847Liked[t] + 0.219515353217923`Liked*G`[t] + 0.708072246853356Celebrity[t] -0.166549255423799`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)	0.303717782313307	1.415616	0.2145	0.830417	0.415208
FindingFriends	0.176147992195911	0.114094	1.5439	0.124765	0.062383
`Findingfriends*G`	-0.151288107973995	0.142194	-1.064	0.289092	0.144546
KnowingPeople	0.240478962981778	0.110803	2.1703	0.031588	0.015794
`Knowingpeople*G`	0.0325063503433276	0.133519	0.2435	0.807989	0.403994
Liked	0.215766283815847	0.14089	1.5315	0.127806	0.063903
`Liked*G`	0.219515353217923	0.174534	1.2577	0.210487	0.105243
Celebrity	0.708072246853356	0.292824	2.4181	0.016826	0.008413
`Celebrity*G`	-0.166549255423799	0.345665	-0.4818	0.630648	0.315324

Multiple Linear Regression - Regression Statistics
Multiple R	0.721556275076144
R-squared	0.52064345810176
Adjusted R-squared	0.494556027250155
F-TEST (value)	19.9576363446204
F-TEST (DF numerator)	8
F-TEST (DF denominator)	147
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.0877829424917
Sum Squared Residuals	640.749129399017

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	10.8895255927711	2.11047440722889
2	12	11.1521951381639	0.847804861836061
3	15	14.0417845255514	0.958215474448622
4	12	10.9108715265689	1.08912847343113
5	10	10.3837776903313	-0.383777690331296
6	12	8.81425857588693	3.18574142411307
7	15	17.1619146884442	-2.16191468844422
8	9	10.5590648126422	-1.55906481264216
9	12	12.6838656637188	-0.683865663718782
10	11	8.1744156666176	2.82558433338241
11	11	12.3012826055433	-1.30128260554330
12	11	12.0773924325350	-1.07739243253504
13	15	12.4406544864753	2.55934551352468
14	7	11.0770216220410	-4.07702162204099
15	11	11.5065375846547	-0.506537584654662
16	11	11.1050354392924	-0.105035439292366
17	10	12.0773924325350	-2.07739243253504
18	14	13.5492241633687	0.450775836631309
19	10	8.57170040105228	1.42829959894772
20	6	8.90678250390843	-2.90678250390843
21	11	9.18006119788441	1.81993880211559
22	15	13.8010511634244	1.19894883657558
23	11	11.7323875361164	-0.732387536116447
24	12	9.30656453892443	2.69343546107557
25	14	13.6046153228692	0.39538467713077
26	15	14.0301820893322	0.969817910667754
27	9	14.0415301264062	-5.0415301264062
28	13	13.1259491182607	-0.125949118260674
29	13	12.5249166483634	0.475083351636604
30	16	11.0459537837681	4.95404621623185
31	13	8.3845441931217	4.6154558068783
32	12	13.1933706035968	-1.19337060359682
33	14	14.7437162750412	-0.743716275041222
34	11	9.27398410075426	1.72601589924574
35	9	10.5590648126422	-1.55906481264216
36	16	13.5739368425346	2.42606315746538
37	12	13.1102520303112	-1.11025203031124
38	10	8.94284322014831	1.05715677985169
39	13	13.3067701253222	-0.306770125322209
40	16	15.7001086545033	0.299891345496714
41	14	12.5971153781535	1.40288462184649
42	15	8.30505028859622	6.69494971140378
43	5	9.7084471709368	-4.7084471709368
44	8	10.0676197194897	-2.0676197194897
45	11	11.2335766083378	-0.233576608337807
46	16	13.3448059166268	2.65519408337320
47	17	13.4735140842515	3.52648591574847
48	9	8.94723070108285	0.0527692989171527
49	9	12.2192765072424	-3.21927650724244
50	13	15.1834455472956	-2.18344554729565
51	10	10.8747621896182	-0.874762189618176
52	6	12.1180967598976	-6.11809675989763
53	12	11.8643304521342	0.135669547865782
54	8	9.9785760695379	-1.97857606953790
55	14	12.0651911234961	1.93480887650394
56	12	12.7652471338927	-0.765247133892652
57	11	11.1927521103353	-0.192752110335282
58	16	15.1088658946299	0.891134105370103
59	8	9.29877407723053	-1.29877407723053
60	15	15.5333646955740	-0.533364695573968
61	7	9.0547375388687	-2.0547375388687
62	16	13.5343185509147	2.46568144908531
63	14	14.1866952864701	-0.186695286470134
64	16	14.1773333993897	1.82266660061025
65	9	10.0963632218142	-1.09636322181421
66	14	12.5171217047895	1.48287829521054
67	11	12.8623070203012	-1.86230702030121
68	13	10.2304030695936	2.76959693040637
69	15	13.0586446962190	1.94135530378098
70	5	6.22668143776913	-1.22668143776913
71	15	12.7652471338927	2.23475286610735
72	13	12.5171217047895	0.482878295210537
73	11	11.4477034969565	-0.447703496956529
74	11	12.6437715232232	-1.64377152322320
75	12	12.7359396144501	-0.735939614450082
76	12	13.6046153228692	-1.60461532286923
77	12	12.3796852653027	-0.379685265302714
78	12	12.4176821679018	-0.417682167901798
79	14	11.0459537837681	2.95404621623185
80	6	8.11109226315751	-2.11109226315751
81	7	9.52233082274028	-2.52233082274028
82	14	12.4742037538538	1.52579624614625
83	14	14.3396297230984	-0.339629723098414
84	10	11.4861496726617	-1.48614967266165
85	13	8.33330064992337	4.66669935007663
86	12	12.3170181235518	-0.317018123551792
87	9	9.15512922589445	-0.155129225894450
88	12	12.7174149310972	-0.717414931097212
89	16	15.2603793822489	0.739620617751137
90	10	9.82714075650792	0.172859243492077
91	14	13.5206737831231	0.479326216876903
92	10	13.9043480860646	-3.90434808606464
93	16	15.7249685387252	0.275031461274797
94	15	13.8278808677505	1.17211913224950
95	12	11.0161709293248	0.983829070675166
96	10	9.74010887266684	0.259891127333161
97	8	10.4774774551835	-2.47747745518349
98	8	8.55887400045114	-0.55887400045114
99	11	11.8564626931300	-0.856462693129975
100	13	12.5126740695688	0.487325930431191
101	16	15.9730939678284	0.0269060321716083
102	16	15.0167015883663	0.983298411633672
103	14	14.9901586335517	-0.990158633551675
104	11	9.20047344688567	1.79952655311433
105	4	6.60092088806472	-2.60092088806472
106	14	14.6534395344260	-0.653439534426044
107	9	10.8383853268363	-1.83838532683631
108	14	15.5333646955740	-1.53336469557397
109	8	11.0006816505450	-3.00068165054497
110	8	11.6299213130174	-3.62992131301744
111	11	12.6296982600543	-1.62969826005430
112	12	14.0466987774111	-2.04669877741112
113	11	11.4207328162684	-0.420732816268387
114	14	13.9292079702866	0.0707920297134405
115	15	13.7120075134726	1.28799248652737
116	16	13.7420517623560	2.25794823764402
117	16	13.7669116465779	2.23308835342210
118	11	12.0420194146922	-1.04201941469216
119	14	13.2938395879329	0.706160412067092
120	14	10.5485776454533	3.45142235454674
121	12	11.7026134000348	0.297386599965199
122	14	12.2185657442337	1.78143425576628
123	8	9.82714075650792	-1.82714075650792
124	13	13.4699875801288	-0.46998758012882
125	16	13.2938395879329	2.70616041206709
126	12	11.0415061485475	0.958493851452505
127	16	15.7205209035045	0.279479096495450
128	12	13.6046153228692	-1.60461532286923
129	11	12.0340078649603	-1.03400786496025
130	4	6.04772724989257	-2.04772724989257
131	16	15.7205209035045	0.279479096495450
132	15	12.760799498672	2.239200501328
133	10	11.9165170578357	-1.91651705783569
134	13	13.4080972278583	-0.408097227858265
135	15	12.8128816619694	2.18711833803065
136	12	10.8836574600595	1.11634253994052
137	14	13.117691595737	0.882308404263004
138	7	10.9987940848966	-3.99879408489658
139	19	14.4751785969368	4.52482140306323
140	12	13.1756688867045	-1.17566888670451
141	12	11.7262597811962	0.273740218803786
142	13	13.0533606249511	-0.0533606249511303
143	15	13.5544289377863	1.44557106221368
144	8	8.59687402439871	-0.596874024398706
145	12	11.1566427733846	0.84335722661541
146	10	10.6266367605150	-0.626636760514988
147	8	10.9024146002071	-2.90241460020711
148	10	14.0380498483365	-4.03804984833649
149	15	13.3581705587188	1.64182944128123
150	16	14.7392686398206	1.26073136017943
151	13	13.3023224901016	-0.302322490101555
152	16	15.4519832254001	0.548016774599902
153	9	10.4235159388038	-1.42351593880380
154	14	12.4358729984116	1.5641270015884
155	14	12.4456800651235	1.55431993487648
156	12	10.7570038566624	1.24299614333756

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
12	0.0148846440769442	0.0297692881538884	0.985115355923056
13	0.270367171934365	0.54073434386873	0.729632828065635
14	0.452738580422579	0.905477160845158	0.547261419577421
15	0.389044558071467	0.778089116142934	0.610955441928533
16	0.276315944135212	0.552631888270424	0.723684055864788
17	0.235200479882294	0.470400959764589	0.764799520117706
18	0.204340223034756	0.408680446069512	0.795659776965244
19	0.173504075125319	0.347008150250639	0.82649592487468
20	0.592540890119907	0.814918219760185	0.407459109880093
21	0.514915020553154	0.970169958893693	0.485084979446846
22	0.628094801832265	0.74381039633547	0.371905198167735
23	0.55325496882702	0.89349006234596	0.44674503117298
24	0.535315395432962	0.929369209134076	0.464684604567038
25	0.468126579253763	0.936253158507525	0.531873420746237
26	0.450052518477259	0.900105036954519	0.549947481522741
27	0.572164399366448	0.855671201267104	0.427835600633552
28	0.515245281531433	0.969509436937133	0.484754718468567
29	0.47256789059977	0.94513578119954	0.52743210940023
30	0.656623223302466	0.686753553395067	0.343376776697534
31	0.791957586015767	0.416084827968467	0.208042413984233
32	0.769104639811598	0.461790720376803	0.230895360188402
33	0.72016070876808	0.55967858246384	0.27983929123192
34	0.682663579072978	0.634672841854044	0.317336420927022
35	0.685076429537626	0.629847140924748	0.314923570462374
36	0.745622651723302	0.508754696553397	0.254377348276698
37	0.720143966453238	0.559712067093523	0.279856033546762
38	0.679312296762485	0.64137540647503	0.320687703237515
39	0.625390911420816	0.749218177158368	0.374609088579184
40	0.580955240167808	0.838089519664383	0.419044759832192
41	0.57615307976735	0.8476938404653	0.42384692023265
42	0.836294121196182	0.327411757607635	0.163705878803818
43	0.944939600945146	0.110120798109708	0.0550603990548541
44	0.954875370139415	0.0902492597211698	0.0451246298605849
45	0.94223098825242	0.115538023495162	0.0577690117475809
46	0.95981750997817	0.0803649800436617	0.0401824900218309
47	0.97438791061741	0.0512241787651819	0.0256120893825910
48	0.96617470249647	0.0676505950070607	0.0338252975035304
49	0.979247374158265	0.0415052516834708	0.0207526258417354
50	0.979779674816592	0.0404406503668161	0.0202203251834080
51	0.974027405471502	0.051945189056996	0.025972594528498
52	0.996860285932767	0.00627942813446516	0.00313971406723258
53	0.995429796880836	0.00914040623832878	0.00457020311916439
54	0.996502020401508	0.0069959591969838	0.0034979795984919
55	0.996628550692515	0.00674289861497084	0.00337144930748542
56	0.99539510372897	0.00920979254206052	0.00460489627103026
57	0.993843588774736	0.0123128224505288	0.00615641122526438
58	0.991733896728822	0.0165322065423565	0.00826610327117827
59	0.991759954653213	0.0164800906935736	0.00824004534678678
60	0.98881901924196	0.0223619615160791	0.0111809807580395
61	0.9893008756718	0.0213982486563988	0.0106991243281994
62	0.99162227861669	0.016755442766622	0.008377721383311
63	0.988439811817906	0.0231203763641873	0.0115601881820937
64	0.987275009119605	0.0254499817607891	0.0127249908803945
65	0.985464003473448	0.0290719930531038	0.0145359965265519
66	0.983124120031612	0.0337517599367754	0.0168758799683877
67	0.982730008719138	0.0345399825617251	0.0172699912808625
68	0.986243887365243	0.0275122252695143	0.0137561126347572
69	0.986093386505474	0.0278132269890531	0.0139066134945265
70	0.983264873700425	0.033470252599149	0.0167351262995745
71	0.983952833005262	0.0320943339894756	0.0160471669947378
72	0.978743511892171	0.0425129762156572	0.0212564881078286
73	0.972155674548958	0.0556886509020846	0.0278443254510423
74	0.970049565314358	0.0599008693712843	0.0299504346856422
75	0.96216949605184	0.0756610078963196	0.0378305039481598
76	0.95795278436673	0.0840944312665404	0.0420472156332702
77	0.947008750444686	0.105982499110627	0.0529912495553137
78	0.935509515496803	0.128980969006394	0.0644904845031971
79	0.949698181643263	0.100603636713475	0.0503018183567374
80	0.952358834397114	0.0952823312057727	0.0476411656028863
81	0.956683961435184	0.086632077129632	0.043316038564816
82	0.956439291433866	0.0871214171322678	0.0435607085661339
83	0.944775217018713	0.110449565962575	0.0552247829812873
84	0.937492091445042	0.125015817109916	0.0625079085549582
85	0.990164132554969	0.0196717348900629	0.00983586744503145
86	0.98691637540894	0.02616724918212	0.01308362459106
87	0.982929157927117	0.034141684145766	0.017070842072883
88	0.98011878313635	0.0397624337273017	0.0198812168636508
89	0.974653369327958	0.0506932613440848	0.0253466306720424
90	0.969186284745768	0.0616274305084647	0.0308137152542324
91	0.961437358968518	0.0771252820629644	0.0385626410314822
92	0.982707754985226	0.0345844900295482	0.0172922450147741
93	0.976696160274005	0.0466076794519893	0.0233038397259947
94	0.972235967753082	0.0555280644938356	0.0277640322469178
95	0.966669858890535	0.0666602822189292	0.0333301411094646
96	0.956037744874722	0.0879245102505565	0.0439622551252783
97	0.95414638268592	0.0917072346281603	0.0458536173140801
98	0.951585182800178	0.0968296343996447	0.0484148171998223
99	0.949950511715705	0.100098976568590	0.0500494882842949
100	0.935840018472108	0.128319963055784	0.0641599815278922
101	0.91772783289984	0.164544334200320	0.0822721671001602
102	0.901372102246794	0.197255795506412	0.0986278977532062
103	0.900379568307531	0.199240863384939	0.0996204316924694
104	0.913638471767218	0.172723056465563	0.0863615282327816
105	0.92160393619139	0.156792127617220	0.0783960638086098
106	0.905080534980456	0.189838930039087	0.0949194650195436
107	0.894429209817369	0.211141580365262	0.105570790182631
108	0.889313923951246	0.221372152097508	0.110686076048754
109	0.903514003491531	0.192971993016938	0.0964859965084689
110	0.930852808776104	0.138294382447791	0.0691471912238956
111	0.926802528012315	0.146394943975369	0.0731974719876846
112	0.9441847247261	0.1116305505478	0.0558152752739
113	0.92619333897152	0.147613322056960	0.0738066610284801
114	0.904464404152022	0.191071191695956	0.095535595847978
115	0.880871630988122	0.238256738023756	0.119128369011878
116	0.876708961081778	0.246582077836443	0.123291038918222
117	0.881594411496969	0.236811177006062	0.118405588503031
118	0.855064887972663	0.289870224054673	0.144935112027337
119	0.820592561253514	0.358814877492971	0.179407438746486
120	0.941442736498356	0.117114527003287	0.0585572635016436
121	0.92237837011889	0.155243259762219	0.0776216298811095
122	0.903788175871854	0.192423648256292	0.096211824128146
123	0.888066944665287	0.223866110669425	0.111933055334713
124	0.855615312362776	0.288769375274448	0.144384687637224
125	0.854742073912206	0.290515852175588	0.145257926087794
126	0.825531619683513	0.348936760632973	0.174468380316487
127	0.779937688607489	0.440124622785022	0.220062311392511
128	0.771910269209207	0.456179461581585	0.228089730790793
129	0.774090906217091	0.451818187565818	0.225909093782909
130	0.733977715527072	0.532044568945855	0.266022284472928
131	0.685945193791664	0.628109612416673	0.314054806208336
132	0.664865901028745	0.670268197942509	0.335134098971255
133	0.765809370205923	0.468381259588155	0.234190629794077
134	0.70446240082087	0.591075198358260	0.295537599179130
135	0.736481317349152	0.527037365301696	0.263518682650848
136	0.701595930249042	0.596808139501917	0.298404069750958
137	0.622107042530114	0.755785914939772	0.377892957469886
138	0.746905905494873	0.506188189010254	0.253094094505127
139	0.96208041821085	0.0758391635783024	0.0379195817891512
140	0.991564584116266	0.0168708317674676	0.0084354158837338
141	0.987862844543467	0.0242743109130662	0.0121371554565331
142	0.967172934632297	0.0656541307354055	0.0328270653677028
143	0.918753170800533	0.162493658398933	0.0812468291994665
144	0.833472140086662	0.333055719826677	0.166527859913338

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	5	0.037593984962406	NOK
5% type I error level	32	0.240601503759398	NOK
10% type I error level	54	0.406015037593985	NOK