Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 2.6093942753828 -0.24986593522325Tijd[t] + 0.0962642440224116FindingFriends[t] + 0.243936452579795KnowingPeople[t] + 0.357484705624815Liked[t] + 0.622809523303693Celebrity[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)	2.6093942753828	3.648151	0.7153	0.475557	0.237779
Tijd	-0.24986593522325	0.363799	-0.6868	0.493254	0.246627
FindingFriends	0.0962642440224116	0.096159	1.0011	0.318391	0.159196
KnowingPeople	0.243936452579795	0.061481	3.9676	0.000112	5.6e-05
Liked	0.357484705624815	0.097453	3.6683	0.000339	0.000169
Celebrity	0.622809523303693	0.15643	3.9814	0.000106	5.3e-05

Multiple Linear Regression - Regression Statistics
Multiple R	0.707651177863378
R-squared	0.500770189531427
Adjusted R-squared	0.484129195849141
F-TEST (value)	30.0925653294667
F-TEST (DF numerator)	5
F-TEST (DF denominator)	150
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.10920750873077
Sum Squared Residuals	667.313447232938

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.5428761098157	1.45712389018429
2	12	11.2286121969219	0.771387803078095
3	15	13.7070931593744	1.29290684062560
4	12	10.9612078299537	1.03879217004625
5	10	10.8089872027870	-0.808987202787039
6	12	9.3815719921099	2.61842800789009
7	15	16.9322201596178	-1.93222015961783
8	9	10.6226426201080	-1.62264262010796
9	12	12.4269060947218	-0.426906094721793
10	11	8.11040548182489	2.88959451817511
11	11	13.4865483383319	-2.48654833833189
12	11	12.2257463723402	-1.22574637234017
13	15	12.3688701622882	2.63112983771178
14	7	11.4165922663574	-4.4165922663574
15	11	11.8000137556906	-0.800013755690625
16	11	11.1105155252676	-0.110515525267554
17	10	12.2257463723402	-2.22574637234016
18	14	14.5351667611362	-0.535166761136192
19	10	8.83566315451674	1.16433684548326
20	6	9.65344849483632	-3.65344849483632
21	11	8.8274544423638	2.17254555763621
22	15	14.5565551262353	0.443444873764725
23	11	11.7674490040836	-0.76744900408361
24	12	9.64689680978879	2.35310319021121
25	14	13.5589768882842	0.441023111715841
26	15	15.0230396662958	-0.0230396662957811
27	9	14.8004915788151	-5.80049157881507
28	13	12.6646586419358	0.33534135806416
29	13	13.3837324092619	-0.383732409261944
30	16	10.9632873792430	5.03671262075697
31	13	8.62585065744931	4.37414934255069
32	12	13.7453214709632	-1.74532147096323
33	14	14.6528193702577	-0.652819370257688
34	11	10.2207456975286	0.779254302471436
35	9	10.6226426201080	-1.62264262010796
36	16	14.4216185080912	1.57838149190883
37	12	13.0542640366348	-1.05426403663482
38	10	9.31735215431059	0.682647845689415
39	13	13.2187761916820	-0.218776191681953
40	16	15.4019127370197	0.59808726298032
41	14	13.0711039831246	0.92889601687543
42	15	8.24742164925827	6.75257835074173
43	5	9.91430117675694	-4.91430117675694
44	8	10.6399266291306	-2.63992662913057
45	11	11.3976727705784	-0.39767277057837
46	16	13.9551339680307	2.04486603196933
47	17	13.1973878265829	3.80261217341713
48	9	8.61929897240178	0.38070102759822
49	9	12.1080937632187	-3.10809376321867
50	13	14.8753674577384	-1.87536745773840
51	10	11.1196123624862	-1.11961236248621
52	6	12.3053488097440	-6.30534880974405
53	12	12.3119767776426	-0.311976777642647
54	8	10.3559367383950	-2.35593673839496
55	14	12.2946927686200	1.70530723137996
56	12	12.346100733155	-0.346100733155009
57	11	10.6854051110221	0.314594888977911
58	16	14.3367087904479	1.66329120955209
59	8	10.2168957641744	-2.21689576417438
60	15	15.1734351668955	-0.173435166895513
61	7	9.37564250946645	-2.37564250946645
62	16	13.9105321112655	2.08946788873448
63	14	13.6385793256880	0.361420674311962
64	16	13.6838796677083	2.31612033229167
65	9	9.84459591884701	-0.844595918847013
66	14	12.1984285245976	1.80157147540237
67	11	12.9516262474361	-1.95162624743609
68	13	10.3773251034940	2.62267489650596
69	15	12.8212380479013	2.17876195209868
70	5	5.4672227245147	-0.467222724514699
71	15	12.346100733155	2.65389926684499
72	13	12.1984285245976	0.801571475402373
73	11	11.9717760810404	-0.97177608104044
74	11	13.9175278588459	-2.91752785884590
75	12	12.3847731072767	-0.384773107276702
76	12	13.3091109530609	-1.30911095306091
77	12	12.1811445155750	-0.181144515575018
78	12	11.8133715485080	0.18662845149202
79	14	10.7134214440198	3.28657855598023
80	6	7.90747537537835	-1.90747537537835
81	7	9.75451558019035	-2.75451558019035
82	14	11.8861678781420	2.11383212185797
83	14	13.7974279207534	0.202572079246647
84	10	11.1605424257684	-1.1605424257684
85	13	8.64383315172707	4.35616684827293
86	12	12.3160811337191	-0.316081133719121
87	9	9.1872183774981	-0.187218377498103
88	12	11.9442038105756	0.0557961894243915
89	16	14.9294987143157	1.07050128568428
90	10	10.1461242413275	-0.146124241327528
91	14	13.0656185630140	0.934381436986031
92	10	13.4399432151285	-3.43994321512854
93	16	15.2483110458188	0.751688954181159
94	15	13.3605189175959	1.63948108240412
95	12	11.2568066697908	0.74319333020919
96	10	9.64096732714533	0.35903267285467
97	8	10.1444887545711	-2.14448875457111
98	8	8.51300088965944	-0.513000889659439
99	11	12.7722774123374	-1.77227741233740
100	13	12.3333651427417	0.66663485725827
101	16	15.3959832543762	0.604016745623776
102	16	14.6468898876142	1.35311011238577
103	14	15.7769358743894	-1.77693587438940
104	11	8.80878936930706	2.19121063069294
105	4	6.86958927654913	-2.86958927654913
106	14	14.5037660976662	-0.503766097666178
107	9	10.2724080847858	-1.27240808478583
108	14	15.1734351668955	-1.17343516689551
109	8	10.3859563378308	-2.38595633783085
110	8	10.8335213821123	-2.83352138211233
111	11	12.1194482895978	-1.11944828959782
112	12	13.5468635002750	-1.54686350027496
113	11	11.3576193324226	-0.357619332422551
114	14	13.5362074591509	0.463792540849051
115	15	14.2725652354997	0.727434764500338
116	16	13.3263949620835	2.67360503791648
117	16	13.4226592061059	2.57734079389407
118	11	12.6740099018768	-1.67400990187679
119	14	13.6665956586857	0.333404341314276
120	14	10.8779335990669	3.12206640093309
121	12	11.3316825487141	0.668317451285861
122	14	12.4764889326898	1.52351106731022
123	8	10.1461242413275	-2.14612424132753
124	13	13.7628599027081	-0.762859902708136
125	16	13.6665956586857	2.33340434131428
126	12	10.8483580621639	1.15164193783612
127	16	15.3832476639629	0.616752336037055
128	12	13.3091109530609	-1.30911095306091
129	11	11.4390468963934	-0.439046896393411
130	4	6.26564450652239	-2.26564450652239
131	16	15.3832476639629	0.616752336037055
132	15	12.4810373512991	2.51896264870089
133	10	11.4283908552694	-1.42839085526940
134	13	13.1445987980138	-0.144598798013771
135	15	13.1787227535261	1.82127724647387
136	12	10.5998731909748	1.40012680902525
137	14	13.5703314146633	0.429668585336687
138	7	10.5953247723654	-3.59532477236542
139	19	14.0240803643105	4.97591963568946
140	12	12.6073211947574	-0.607321194757413
141	12	12.2111641150109	-0.211164115010906
142	13	13.4226592061059	-0.422659206105929
143	15	12.8920095707482	2.10799042925183
144	8	8.14888821613602	-0.148888216136022
145	12	10.8438096435545	1.15619035644545
146	10	10.7220742187056	-0.722074218705579
147	8	11.3362309673235	-3.33623096732347
148	10	14.3128730963778	-4.31287309637777
149	15	13.8142678672431	1.18573213275689
150	16	14.5378900531785	1.46210994682146
151	13	13.1038468746028	-0.103846874602806
152	16	15.0043745932390	0.995625406760954
153	9	10.1461242413275	-1.14612424132753
154	14	13.0997425185263	0.900257481473668
155	14	12.6114255508339	1.38857444916611
156	12	10.1033475111294	1.89665248887064

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.109906662350947	0.219813324701894	0.890093337649053
10	0.047806090317179	0.095612180634358	0.952193909682821
11	0.0727296562774194	0.145459312554839	0.92727034372258
12	0.0380783547992044	0.0761567095984087	0.961921645200796
13	0.440280494707312	0.880560989414624	0.559719505292688
14	0.762425475487704	0.475149049024592	0.237574524512296
15	0.682033878402258	0.635932243195484	0.317966121597742
16	0.59292815677398	0.81414368645204	0.40707184322602
17	0.534717353757111	0.930565292485778	0.465282646242889
18	0.44771630995205	0.8954326199041	0.55228369004795
19	0.370408181143548	0.740816362287096	0.629591818856452
20	0.665175271208369	0.669649457583262	0.334824728791631
21	0.600554256360074	0.798891487279853	0.399445743639926
22	0.566806898538364	0.866386202923272	0.433193101461636
23	0.496029330634726	0.992058661269452	0.503970669365274
24	0.476882391069905	0.95376478213981	0.523117608930095
25	0.438890147624153	0.877780295248306	0.561109852375847
26	0.380807745583849	0.761615491167698	0.619192254416151
27	0.648471629683341	0.703056740633318	0.351528370316659
28	0.590758099117408	0.818483801765184	0.409241900882592
29	0.530622184936296	0.938755630127408	0.469377815063704
30	0.688564414527427	0.622871170945147	0.311435585472573
31	0.805635768966311	0.388728462067378	0.194364231033689
32	0.769789044527452	0.460421910945095	0.230210955472548
33	0.729291048358663	0.541417903282673	0.270708951641337
34	0.684742495850205	0.63051500829959	0.315257504149795
35	0.678574997945677	0.642850004108646	0.321425002054323
36	0.696046725136891	0.607906549726218	0.303953274863109
37	0.657461496552484	0.685077006895031	0.342538503447516
38	0.60697750960248	0.78604498079504	0.39302249039752
39	0.556730688369831	0.886538623260339	0.443269311630169
40	0.538605447997595	0.92278910400481	0.461394552002405
41	0.508311632950459	0.983376734099081	0.491688367049541
42	0.810236636428485	0.37952672714303	0.189763363571515
43	0.95197289275812	0.0960542144837615	0.0480271072418808
44	0.961813346734773	0.0763733065304534	0.0381866532652267
45	0.95028616899627	0.0994276620074618	0.0497138310037309
46	0.956556216379778	0.0868875672404444	0.0434437836202222
47	0.982990647295339	0.0340187054093223	0.0170093527046611
48	0.979507027889909	0.0409859442201828	0.0204929721100914
49	0.981964075268303	0.036071849463395	0.0180359247316975
50	0.977181049424331	0.045637901151338	0.022818950575669
51	0.971950631846768	0.0560987363064637	0.0280493681532319
52	0.989213770246685	0.0215724595066294	0.0107862297533147
53	0.992021211472385	0.0159575770552291	0.00797878852761455
54	0.990517691569532	0.0189646168609360	0.00948230843046798
55	0.994617128490356	0.0107657430192882	0.0053828715096441
56	0.993122561310692	0.0137548773786151	0.00687743868930756
57	0.990831232614518	0.0183375347709633	0.00916876738548164
58	0.991280963771185	0.0174380724576304	0.00871903622881522
59	0.992312265296982	0.0153754694060361	0.00768773470301807
60	0.990855175793665	0.0182896484126692	0.00914482420633459
61	0.990917912065896	0.0181641758682076	0.00908208793410379
62	0.993065239536639	0.0138695209267229	0.00693476046336143
63	0.991149317536692	0.0177013649266160	0.00885068246330802
64	0.992460090806872	0.0150798183862564	0.00753990919312822
65	0.990093690376082	0.0198126192478351	0.00990630962391757
66	0.989750698963102	0.020498602073796	0.010249301036898
67	0.989314157253514	0.0213716854929723	0.0106858427464862
68	0.99153770394825	0.0169245921035005	0.00846229605175024
69	0.991956718723516	0.0160865625529681	0.00804328127648406
70	0.989120355113185	0.0217592897736303	0.0108796448868151
71	0.990924766516761	0.0181504669664779	0.00907523348323894
72	0.988072944694745	0.0238541106105107	0.0119270553052554
73	0.984973684941786	0.0300526301164285	0.0150263150582142
74	0.98894285797129	0.0221142840574187	0.0110571420287093
75	0.985114615101298	0.0297707697974029	0.0148853848987015
76	0.982568122634924	0.0348637547301524	0.0174318773650762
77	0.977090785248985	0.045818429502031	0.0229092147510155
78	0.969879978832463	0.0602400423350736	0.0301200211675368
79	0.981141511125037	0.0377169777499269	0.0188584888749634
80	0.980182037275351	0.039635925449298	0.019817962724649
81	0.98334582602042	0.0333083479591612	0.0166541739795806
82	0.984404236259004	0.0311915274819918	0.0155957637409959
83	0.979174889751477	0.0416502204970468	0.0208251102485234
84	0.974369422253804	0.0512611554923918	0.0256305777461959
85	0.993012434727943	0.0139751305441137	0.00698756527205687
86	0.990512454251632	0.0189750914967356	0.00948754574836781
87	0.987079350340338	0.0258412993193240	0.0129206496596620
88	0.983003809966486	0.0339923800670284	0.0169961900335142
89	0.978768324192718	0.0424633516145631	0.0212316758072815
90	0.971950909906926	0.0560981801861482	0.0280490900930741
91	0.966062113904202	0.0678757721915955	0.0339378860957977
92	0.980640650034898	0.0387186999302035	0.0193593499651018
93	0.975059675709882	0.0498806485802355	0.0249403242901177
94	0.971401751311768	0.0571964973764641	0.0285982486882320
95	0.963836515751585	0.0723269684968307	0.0361634842484154
96	0.954094242784984	0.0918115144300316	0.0459057572150158
97	0.950129405708244	0.099741188583512	0.049870594291756
98	0.936448127685328	0.127103744629344	0.063551872314672
99	0.932977888590807	0.134044222818386	0.067022111409193
100	0.917336546230434	0.165326907539131	0.0826634537695656
101	0.8982931633317	0.203413673336601	0.101706836668301
102	0.881389562990497	0.237220874019006	0.118610437009503
103	0.89257092689047	0.214858146219059	0.107429073109529
104	0.92385056418278	0.152298871634438	0.0761494358172192
105	0.922381277673484	0.155237444653032	0.0776187223265161
106	0.903370468583187	0.193259062833627	0.0966295314168133
107	0.884854868241492	0.230290263517016	0.115145131758508
108	0.880169397777762	0.239661204444476	0.119830602222238
109	0.879634867598516	0.240730264802967	0.120365132401484
110	0.903225554060957	0.193548891878086	0.096774445939043
111	0.893394915728447	0.213210168543106	0.106605084271553
112	0.92333019312296	0.153339613754081	0.0766698068770406
113	0.902142952545248	0.195714094909503	0.0978570474547515
114	0.876592354961236	0.246815290077529	0.123407645038764
115	0.846976202918196	0.306047594163607	0.153023797081804
116	0.846647747340669	0.306704505318662	0.153352252659331
117	0.854962391426605	0.29007521714679	0.145037608573395
118	0.844658968811386	0.310682062377229	0.155341031188614
119	0.807719138755045	0.38456172248991	0.192280861244955
120	0.86142115213684	0.277157695726320	0.138578847863160
121	0.834280057868296	0.331439884263408	0.165719942131704
122	0.809772713482967	0.380454573034066	0.190227286517033
123	0.799699963807939	0.400600072384123	0.200300036192061
124	0.758667569670462	0.482664860659075	0.241332430329538
125	0.758507882661758	0.482984234676484	0.241492117338242
126	0.739929519960295	0.52014096007941	0.260070480039705
127	0.686939981741838	0.626120036516324	0.313060018258162
128	0.658397591648663	0.683204816702673	0.341602408351337
129	0.67558695308933	0.64882609382134	0.32441304691067
130	0.667330144009447	0.665339711981106	0.332669855990553
131	0.606684239999214	0.786631520001573	0.393315760000786
132	0.59403583599494	0.811928328010119	0.405964164005059
133	0.564406161296073	0.871187677407855	0.435593838703927
134	0.489944398133652	0.979888796267304	0.510055601866348
135	0.463421676888927	0.926843353777854	0.536578323111073
136	0.456962237171405	0.91392447434281	0.543037762828595
137	0.383352154124569	0.766704308249138	0.616647845875431
138	0.446176669766455	0.89235333953291	0.553823330233545
139	0.794397111075275	0.41120577784945	0.205602888924725
140	0.824534882837644	0.350930234324713	0.175465117162356
141	0.779023815647074	0.441952368705852	0.220976184352926
142	0.694285994334067	0.611428011331865	0.305714005665933
143	0.655336380992217	0.689327238015566	0.344663619007783
144	0.540614026189965	0.91877194762007	0.459385973810035
145	0.518640475046831	0.962719049906337	0.481359524953169
146	0.633246698154205	0.73350660369159	0.366753301845795
147	0.570596811126392	0.858806377747216	0.429403188873608

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	42	0.302158273381295	NOK
10% type I error level	57	0.410071942446043	NOK