Multiple Linear Regression - Estimated Regression Equation

Liked[t] = + 6.44337607583825 + 0.228447260896724Popularity[t] + 0.0600370360974463FindingFriends[t] + 0.110103033300961KnowingPeople[t] + 0.393494049827484Celebrity[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)	6.44337607583825	1.02725	6.2725	0	0
Popularity	0.228447260896724	0.063171	3.6164	0.000407	0.000203
FindingFriends	0.0600370360974463	0.077742	0.7723	0.441168	0.220584
KnowingPeople	0.110103033300961	0.051418	2.1413	0.033851	0.016926
Celebrity	0.393494049827484	0.128921	3.0522	0.002685	0.001342

Multiple Linear Regression - Regression Statistics
Multiple R	0.634459073838359
R-squared	0.402538316375828
Adjusted R-squared	0.386711516809625
F-TEST (value)	25.4339681684864
F-TEST (DF numerator)	4
F-TEST (DF denominator)	151
p-value	4.44089209850063e-16
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.70372255642955
Sum Squared Residuals	438.303252942315

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	12.9155965524586	0.0844034475414042
2	13	12.7534821553134	0.246517844686591
3	16	14.1526560488400	1.84734395115998
4	12	12.8567620635476	-0.856762063547592
5	11	12.396719627927	-1.39671962792700
6	12	11.8563910223575	0.143608977642517
7	18	15.5601673899912	2.43983261000883
8	11	12.0049554226986	-1.00495542269864
9	14	13.0206063052917	0.979393694708303
10	9	11.5511125614026	-2.55111256140260
11	14	13.3790939579697	0.62090604203026
12	12	13.2488380441471	-1.24883804414706
13	11	14.2596111683138	-3.25961116831383
14	12	11.7782380064010	0.221761993598952
15	13	12.9284999831381	0.0715000168618957
16	11	12.6820560110940	-1.68205601109401
17	12	13.0203907832503	-1.02039078325033
18	16	14.3145549239436	1.68544507605637
19	9	11.7329535142941	-2.73295351429407
20	11	10.7992223929193	0.200777607080684
21	13	11.0543386033409	1.94566139665906
22	15	14.8263932013669	0.173606798633125
23	10	13.2357190914260	-3.23571909142597
24	11	12.2498850721850	-1.24988507218497
25	13	14.3745919600411	-1.37459196004107
26	16	14.7632082514423	1.23679174855773
27	15	13.5658126692875	1.43418733071251
28	14	13.4023994716261	0.59760052837388
29	14	13.8559305575510	0.144069442448950
30	14	13.2737771490728	0.726222850927177
31	8	12.4683612941878	-4.46836129418776
32	13	14.0810143825793	-1.08101438257926
33	15	14.6579829765676	0.342017023432403
34	13	11.8913927001994	1.10860729980058
35	11	12.0049554226986	-1.00495542269864
36	15	14.8815524790380	0.118447520961963
37	15	13.3671822717428	1.63281772825718
38	9	11.9964024530327	-2.99640245303273
39	13	13.9760046297459	-0.976004629745943
40	16	15.2750465288655	0.724953471134479
41	13	14.1543858934392	-1.15438589343915
42	11	12.1414156301534	-1.14141563015339
43	12	10.5474743376737	1.45252566232628
44	12	11.6063680924035	0.39363190759649
45	12	12.8584919081467	-0.858491908146727
46	14	14.9447374289626	-0.944737428962637
47	14	14.6064026568063	-0.606402656806315
48	8	11.6345513644862	-3.63455136448617
49	13	12.4485154697296	0.551484530270359
50	16	14.2562477324453	1.74375226755469
51	13	12.3597725834446	0.640227416555435
52	11	12.3669027645749	-1.36690276457495
53	14	13.1938942885173	0.806105711482742
54	13	11.4461990618990	1.55380093810097
55	13	13.8209288797091	-0.820928879709113
56	13	13.3540633190217	-0.354063319021735
57	12	12.3918418695007	-0.391841869500712
58	16	14.7614784068431	1.23852159315686
59	15	10.8193799927485	4.18062000725146
60	15	15.3299902844953	-0.32999028449532
61	12	10.8242577511748	1.17574224882517
62	14	14.9415895151355	-0.941589515135483
63	12	14.6348929849526	-2.63489298495258
64	15	14.6613464124361	0.338653587563886
65	12	11.6678231977290	0.33217680227102
66	13	13.7608918436117	-0.760891843611667
67	12	13.6892501773509	-1.68925017735090
68	12	12.8718263829092	-0.871826382909175
69	13	14.3828331543359	-1.38283315433588
70	5	9.65353111854494	-4.65353111854494
71	13	14.0394051017119	-1.03940510171191
72	13	13.5324445827149	-0.532444582714944
73	14	12.7953069582221	1.20469304177787
74	17	13.2189249274653	3.78107507253474
75	13	13.4673142661499	-0.46731426614985
76	13	13.9176974382476	-0.917697438247627
77	12	13.4741373912166	-1.47413739121663
78	13	13.0638491774284	-0.0638491774284345
79	14	12.8168826272794	1.18311737272062
80	11	9.9821103738487	1.01788962615131
81	12	11.1076487677013	0.892351232298652
82	12	13.7941636768545	-1.79416367685447
83	16	14.0943488573417	1.90565114265829
84	12	12.5068226612280	-0.506822661227957
85	12	11.8646322166523	0.135367783347716
86	12	13.6474253744422	-1.64742537444219
87	10	11.6146092866983	-1.61460928669831
88	15	12.7836060747291	2.21639392527093
89	15	15.4483345120911	-0.448334512091082
90	12	11.953159580896	0.0468404191040039
91	16	13.7640397574388	2.23596024256118
92	15	13.1805598137548	1.81944018624519
93	16	15.3350835649630	0.664916435037033
94	13	14.5930681820439	-1.59306818204387
95	12	13.0237542191189	-1.02375421911885
96	11	11.9030935836925	-0.90309358369248
97	13	11.4925898478629	1.50741015213708
98	10	11.0026390148680	-1.00263901486803
99	15	12.9455049498327	2.05449505016733
100	13	13.7057325659405	-0.705732565940505
101	16	15.3851495621665	0.614850437833517
102	15	15.224980531662	-0.224980531662006
103	18	14.7148720988379	3.28512790116211
104	13	11.2876636226639	1.71233637733606
105	10	9.18493571325843	0.815064286741568
106	16	14.6711019292887	1.32889807071132
107	13	11.4913873006763	1.50861269932374
108	15	15.1015430235986	-0.101543023598596
109	14	11.1528370064786	2.84716299352142
110	15	11.2561169147128	3.74388308528724
111	14	12.8453729554256	1.15462704457436
112	13	14.0710433436853	-1.07104334368533
113	13	12.8084259109432	0.191574089056788
114	15	14.1543858934392	0.845614106560848
115	16	14.6662241708624	1.33377582913760
116	14	14.6613464124361	-0.661346412436114
117	14	14.7213834485336	-0.72138344853356
118	16	12.9185289442442	3.08147105575583
119	14	14.3745919600411	-0.374591960041074
120	12	13.1972577243858	-1.19725772438577
121	13	12.8004002386898	0.199599761310226
122	12	14.0311639074171	-2.03116390741711
123	12	11.4962650591025	0.503734940897451
124	14	14.2061817352418	-0.206181735241797
125	14	14.8314864818345	-0.831486481834522
126	14	12.5332760887115	1.46672391128851
127	16	15.5083715481885	0.491628451811471
128	13	13.9176974382476	-0.917697438247627
129	14	12.5050928166288	1.49490718337117
130	4	10.0720558073204	-6.07205580732043
131	16	15.5083715481885	0.491628451811471
132	13	14.2126930849375	-1.21269308493747
133	16	11.9030935836925	4.09690641630752
134	15	13.7657696020380	1.23423039796205
135	14	14.3828331543359	-0.382833154335875
136	13	12.4700911387869	0.52990886121311
137	14	14.3145549239436	-0.314554923943628
138	12	11.3747729176796	0.625227082320367
139	15	15.5168282645247	-0.516828264524693
140	14	13.2940262829243	0.705973717075711
141	13	13.1807753357962	-0.180775335796174
142	14	14.0360416658434	-0.0360416658433889
143	16	13.7059480879819	2.29405191201813
144	6	11.5463310563061	-5.54633105630606
145	13	12.5801941720879	0.419805827912149
146	13	12.3097065862411	0.69029341375895
147	14	11.8396931117265	2.16030688827348
148	15	13.6409140247465	1.35908597525348
149	14	14.6531052181413	-0.653105218141313
150	15	15.2881654815866	-0.288165481586606
151	13	14.1492926129715	-1.14929261297150
152	16	15.224980531662	0.775019468337994
153	12	11.7247123199993	0.275287680000728
154	15	13.9242087879433	1.07579121205670
155	12	14.2044518906427	-2.20445189064267
156	14	11.8432720696364	2.15672793036360

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
8	0.0482272034650254	0.0964544069300509	0.951772796534974
9	0.0320183182287707	0.0640366364575414	0.96798168177123
10	0.0122517701204647	0.0245035402409294	0.987748229879535
11	0.0196801925697242	0.0393603851394484	0.980319807430276
12	0.0179007644025317	0.0358015288050633	0.982099235597468
13	0.587011946451649	0.825976107096701	0.412988053548351
14	0.494117157357415	0.98823431471483	0.505882842642585
15	0.398032388618634	0.796064777237268	0.601967611381366
16	0.363779658800202	0.727559317600404	0.636220341199798
17	0.313444820915219	0.626889641830438	0.686555179084781
18	0.283286142687774	0.566572285375548	0.716713857312226
19	0.282322875630855	0.564645751261709	0.717677124369145
20	0.302044810217682	0.604089620435364	0.697955189782318
21	0.500756407713033	0.998487184573935	0.499243592286967
22	0.427095114694097	0.854190229388193	0.572904885305903
23	0.584998173366144	0.830003653267713	0.415001826633856
24	0.533791743700601	0.932416512598798	0.466208256299399
25	0.509724020920573	0.980551958158854	0.490275979079427
26	0.469728355323233	0.939456710646465	0.530271644676767
27	0.460410778878529	0.920821557757057	0.539589221121471
28	0.405877377657276	0.811754755314553	0.594122622342724
29	0.344044059039346	0.688088118078693	0.655955940960653
30	0.303156976151672	0.606313952303344	0.696843023848328
31	0.581216601056026	0.837566797887947	0.418783398943974
32	0.548506274826061	0.902987450347878	0.451493725173939
33	0.489165433969292	0.978330867938583	0.510834566030708
34	0.493764104967472	0.987528209934944	0.506235895032528
35	0.441758540284111	0.883517080568221	0.55824145971589
36	0.38521754644372	0.77043509288744	0.61478245355628
37	0.39299339891277	0.78598679782554	0.60700660108723
38	0.460200881684568	0.920401763369137	0.539799118315432
39	0.423381045611846	0.846762091223692	0.576618954388154
40	0.373075212104365	0.74615042420873	0.626924787895635
41	0.347036241418163	0.694072482836327	0.652963758581837
42	0.313625885380791	0.627251770761582	0.686374114619209
43	0.336193203132848	0.672386406265695	0.663806796867152
44	0.298506283413085	0.59701256682617	0.701493716586915
45	0.260104160414412	0.520208320828823	0.739895839585588
46	0.231013548690325	0.46202709738065	0.768986451309675
47	0.197349989653746	0.394699979307491	0.802650010346254
48	0.315798096000743	0.631596192001486	0.684201903999257
49	0.280459783575738	0.560919567151475	0.719540216424262
50	0.280556738490732	0.561113476981465	0.719443261509268
51	0.262538555527956	0.525077111055913	0.737461444472044
52	0.245895723214386	0.491791446428773	0.754104276785614
53	0.219957530815771	0.439915061631542	0.78004246918423
54	0.234077092707099	0.468154185414198	0.765922907292901
55	0.205446611783886	0.410893223567773	0.794553388216114
56	0.172503672448293	0.345007344896587	0.827496327551707
57	0.144363184097062	0.288726368194124	0.855636815902938
58	0.131655576326106	0.263311152652213	0.868344423673894
59	0.341521162951089	0.683042325902179	0.65847883704891
60	0.298698119478684	0.597396238957367	0.701301880521316
61	0.280898567127941	0.561797134255882	0.719101432872059
62	0.254778221978133	0.509556443956267	0.745221778021867
63	0.317498040342468	0.634996080684936	0.682501959657532
64	0.279372645843141	0.558745291686283	0.720627354156859
65	0.248616569539528	0.497233139079057	0.751383430460472
66	0.218734089653299	0.437468179306598	0.781265910346701
67	0.216413973100506	0.432827946201012	0.783586026899494
68	0.191651799991801	0.383303599983601	0.8083482000082
69	0.179188405528306	0.358376811056613	0.820811594471694
70	0.432625216685786	0.865250433371571	0.567374783314214
71	0.404619757636620	0.809239515273241	0.59538024236338
72	0.364296963137579	0.728593926275159	0.635703036862421
73	0.347067980360357	0.694135960720715	0.652932019639643
74	0.543323639447835	0.91335272110433	0.456676360552165
75	0.499126600514335	0.99825320102867	0.500873399485665
76	0.463768072454965	0.92753614490993	0.536231927545035
77	0.452740299510145	0.905480599020291	0.547259700489855
78	0.406580955329362	0.813161910658723	0.593419044670638
79	0.390641679270858	0.781283358541715	0.609358320729142
80	0.365098144235169	0.730196288470338	0.634901855764831
81	0.335425857541933	0.670851715083866	0.664574142458067
82	0.336736204675409	0.673472409350819	0.66326379532459
83	0.349174977588605	0.69834995517721	0.650825022411395
84	0.310475051779087	0.620950103558174	0.689524948220913
85	0.28362761517333	0.56725523034666	0.71637238482667
86	0.281479062335854	0.562958124671709	0.718520937664146
87	0.286988035978736	0.573976071957473	0.713011964021264
88	0.318626334319817	0.637252668639635	0.681373665680183
89	0.279307983957983	0.558615967915966	0.720692016042017
90	0.243490249123682	0.486980498247364	0.756509750876318
91	0.267577455680672	0.535154911361343	0.732422544319328
92	0.278183186780664	0.556366373561328	0.721816813219336
93	0.246230015046375	0.49246003009275	0.753769984953625
94	0.237230869095685	0.47446173819137	0.762769130904315
95	0.218289853084331	0.436579706168661	0.78171014691567
96	0.205583447787578	0.411166895575156	0.794416552212422
97	0.200699261920811	0.401398523841621	0.79930073807919
98	0.205271880104182	0.410543760208364	0.794728119895818
99	0.251780058621512	0.503560117243023	0.748219941378488
100	0.227456014111821	0.454912028223642	0.77254398588818
101	0.203577966175119	0.407155932350238	0.796422033824881
102	0.171082052131984	0.342164104263969	0.828917947868016
103	0.258604290498478	0.517208580996955	0.741395709501522
104	0.24252702703236	0.48505405406472	0.75747297296764
105	0.210226581891885	0.42045316378377	0.789773418108115
106	0.191404095204565	0.382808190409130	0.808595904795435
107	0.178579904148993	0.357159808297986	0.821420095851007
108	0.151972308926683	0.303944617853365	0.848027691073317
109	0.201590729163252	0.403181458326503	0.798409270836748
110	0.533816260190661	0.932367479618677	0.466183739809339
111	0.548863043772898	0.902273912454205	0.451136956227102
112	0.584446040773573	0.831107918452853	0.415553959226427
113	0.539754911215736	0.920490177568528	0.460245088784264
114	0.495757896182059	0.991515792364118	0.504242103817941
115	0.468398015661354	0.936796031322709	0.531601984338646
116	0.418286193850302	0.836572387700605	0.581713806149698
117	0.389210784368489	0.778421568736978	0.610789215631511
118	0.482424723718845	0.96484944743769	0.517575276281155
119	0.427849180019722	0.855698360039443	0.572150819980279
120	0.430685251832067	0.861370503664134	0.569314748167933
121	0.383572186371925	0.767144372743849	0.616427813628075
122	0.388993096298687	0.777986192597373	0.611006903701313
123	0.345556177273976	0.691112354547953	0.654443822726024
124	0.298649992367959	0.597299984735918	0.701350007632041
125	0.283093244229128	0.566186488458256	0.716906755770872
126	0.242644158132831	0.485288316265662	0.757355841867169
127	0.203937769427835	0.407875538855669	0.796062230572165
128	0.16704724039085	0.3340944807817	0.83295275960915
129	0.428760012887131	0.857520025774262	0.571239987112869
130	0.604344460204629	0.791311079590743	0.395655539795371
131	0.558518036934418	0.882963926131165	0.441481963065582
132	0.515891045019853	0.968217909960294	0.484108954980147
133	0.705638094506496	0.588723810987009	0.294361905493504
134	0.644388978602689	0.711222042794623	0.355611021397311
135	0.588608216386712	0.822783567226577	0.411391783613288
136	0.523284890696006	0.953430218607988	0.476715109303994
137	0.446131390327221	0.892262780654443	0.553868609672779
138	0.37108568619292	0.74217137238584	0.62891431380708
139	0.421079108457023	0.842158216914047	0.578920891542977
140	0.493220032353866	0.986440064707731	0.506779967646134
141	0.410530022147559	0.821060044295118	0.589469977852441
142	0.320469242214911	0.640938484429822	0.679530757785089
143	0.247100878998526	0.494201757997053	0.752899121001474
144	0.80953347583421	0.380933048331579	0.190466524165789
145	0.748205590093663	0.503588819812674	0.251794409906337
146	0.720262206022577	0.559475587954846	0.279737793977423
147	0.66205254168722	0.675894916625559	0.337947458312779
148	0.628690986814005	0.742618026371991	0.371309013185995

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	3	0.0212765957446809	OK
10% type I error level	5	0.0354609929078014	OK