Multiple Linear Regression - Estimated Regression Equation

Liked[t] = + 7.07678977830615 + 0.0887064792188269FindingFriends[t] + 0.180163506492804KnowingFriends[t] + 0.583237749836951Celebrity[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)	7.07678977830615	1.051654	6.7292	0	0
FindingFriends	0.0887064792188269	0.080351	1.104	0.271342	0.135671
KnowingFriends	0.180163506492804	0.049485	3.6408	0.000372	0.000186
Celebrity	0.583237749836951	0.12235	4.767	4e-06	2e-06

Multiple Linear Regression - Regression Statistics
Multiple R	0.592277490989078
R-squared	0.350792626332318
Adjusted R-squared	0.337979322904666
F-TEST (value)	27.3772199583827
F-TEST (DF numerator)	3
F-TEST (DF denominator)	152
p-value	3.26405569239796e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.77011811147447
Sum Squared Residuals	476.264355542632

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	12.5019763485613	0.498023651438748
2	13	12.4987643300593	0.50123566994072
3	16	13.6252431474298	2.37475685257020
4	12	12.6357191357470	-0.635719135746955
5	11	12.6816783846072	-1.68167838460724
6	12	11.1521253238926	0.847874676107423
7	18	15.7784921107314	2.2215078892686
8	11	12.4560170997007	-1.45601709970075
9	14	12.9965076191792	1.00349238082084
10	9	11.0229606919238	-2.02296069192376
11	14	13.9023647773069	0.0976352226931168
12	12	13.6224925993746	-1.62249259937465
13	11	13.8513659027829	-2.85136590278289
14	12	12.8135935646312	-0.813593564631204
15	13	13.0792515318411	-0.079251531841085
16	11	12.8163441126864	-1.81634411268635
17	12	13.6224925993746	-1.62249259937465
18	16	14.2544401461270	1.74555985387296
19	9	11.6466565945107	-2.64665659451070
20	11	11.652157690621	-0.652157690621004
21	13	10.3027681363991	2.69723186360085
22	15	14.6575143894712	0.342485610528814
23	10	13.6712023962901	-3.67120239629009
24	11	11.7353630737295	-0.73536307372953
25	13	14.3431466253459	-1.34314662534587
26	16	14.6147671591126	1.38523284088735
27	15	14.837677895964	0.16232210403601
28	14	13.2249194521408	0.775080547859197
29	14	13.8968636811966	0.103136318803419
30	14	11.9155265802223	2.08447341977767
31	8	11.7381136217847	-3.73811362178468
32	13	14.5688079102524	-1.56880791025236
33	15	14.74622086869	0.253779131309987
34	13	11.5607006633470	1.43929933665297
35	11	12.4560170997007	-1.45601709970075
36	15	14.4346036526198	0.565396347380157
37	15	13.4423290928818	1.55767090711816
38	9	12.0552319339651	-3.05523193396515
39	13	14.0742766396342	-1.07427663963423
40	16	15.0178414024568	0.982158597543205
41	13	13.9828196123603	-0.982819612360257
42	11	10.5256788732505	0.474321126749511
43	12	11.5984082680419	0.401591731958138
44	12	12.1871471139891	-0.187147113989115
45	12	12.9932956006774	-0.99329560067741
46	14	14.4773508829784	-0.477350882978382
47	14	13.6712023962901	0.328797603709913
48	8	11.8213190048932	-3.82131900489321
49	13	13.1307118768117	-0.130711876811675
50	16	14.5233101318387	1.47668986816133
51	13	12.5415115604178	0.458488439582177
52	11	14.0770271876894	-3.07702718768939
53	14	13.2194183560305	0.780581643969498
54	13	11.9155265802223	1.08447341977767
55	13	13.4882883417421	-0.488288341742133
56	13	13.4910388897973	-0.491038889797283
57	12	12.3700611685371	-0.37006116853707
58	16	14.2571906941822	1.74280930581781
59	15	11.0206716143152	3.97932838568479
60	15	15.4209156458009	-0.420915645800941
61	12	11.3322888303854	0.667711169614618
62	14	14.5233101318387	-0.52331013183867
63	12	14.7976812136606	-2.79768121366060
64	15	14.0742766396342	0.925723360365765
65	12	11.8723178794172	0.127682120582804
66	13	13.3995818625233	-0.399581862523306
67	12	14.3431466253459	-2.34314662534587
68	12	12.3186008235665	-0.318600823566480
69	13	13.9828196123603	-0.982819612360257
70	5	10.2058100130149	-5.20581001301487
71	13	13.4910388897973	-0.491038889797283
72	13	13.3995818625233	-0.399581862523306
73	14	12.9505483703189	1.04945162968113
74	17	13.6307442435401	3.3692557564599
75	13	13.6252431474298	-0.6252431474298
76	13	14.3431466253459	-1.34314662534587
77	12	13.6684518482349	-1.66845184823494
78	13	13.044755945648	-0.044755945647999
79	14	11.9155265802223	2.08447341977767
80	11	10.3887240675628	0.611275932437178
81	12	11.7353630737295	0.264636926270471
82	12	13.4505807370473	-1.45058073704730
83	16	13.8941131331414	2.10588686685857
84	12	12.8618418911000	-0.861841891100044
85	12	10.7917983109070	1.20820168909303
86	12	13.8913625850863	-1.89136258508628
87	10	11.8268201010035	-1.82682010100351
88	15	12.5957224534436	2.40427754655644
89	15	15.2407521393081	-0.240752139308137
90	12	12.0069836074963	-0.00698360749631072
91	16	13.3536226136630	2.64637738633698
92	15	13.8941131331414	1.10588686685857
93	16	15.1065478816756	0.893452118324378
94	13	14.3458971734010	-1.34589717340102
95	12	12.9505483703189	-0.95054837031887
96	11	11.9155265802223	-0.915526580222334
97	13	11.9178156578309	1.08218434216911
98	10	11.2408318031114	-1.24083180311140
99	15	13.2249194521408	1.77508054785920
100	13	13.6224925993746	-0.622492599374649
101	16	15.1980049089496	0.801995091050401
102	15	14.9263843751828	0.0736156248171831
103	18	14.8808865967691	3.11911340323087
104	13	10.6143853524693	2.38561464753068
105	10	9.85098409613956	0.149015903860440
106	16	14.6975110717746	1.30248892822543
107	13	11.6953663914261	1.30463360857386
108	15	15.4209156458009	-0.420915645800941
109	14	11.5152028849333	2.48479711506666
110	15	11.652157690621	3.34784230937900
111	14	13.0420053975928	0.957994602407152
112	13	14.5715584583075	-1.57155845830751
113	13	12.9018385734034	0.0981614265965683
114	15	13.9828196123603	1.01718038763974
115	16	14.3858938557044	1.61410614429560
116	14	14.0742766396342	-0.0742766396342347
117	14	14.1629831188531	-0.162983118853061
118	16	13.0820020798962	2.91799792010376
119	14	14.3431466253459	-0.343146625345866
120	12	12.5474741269747	-0.547474126974723
121	13	12.6361806061935	0.36381939380645
122	12	13.8513659027829	-1.85136590278289
123	12	12.0069836074963	-0.00698360749631072
124	14	14.4318531045647	-0.431853104564693
125	14	14.3431466253459	-0.343146625345866
126	14	12.1384373170737	1.86156268292632
127	16	15.3294586185270	0.670541381473036
128	13	14.3431466253459	-1.34314662534587
129	14	12.5042654261696	1.49573457383041
130	4	11.2003736503614	-7.20037365036142
131	16	15.3294586185270	0.670541381473036
132	13	13.7139496266486	-0.713949626648626
133	16	11.9155265802223	4.08447341977767
134	15	13.7111990785935	1.28880092140652
135	14	13.9828196123603	0.0171803876397428
136	13	12.0956900867151	0.904309913284862
137	14	14.2544401461270	-0.254440146127039
138	12	12.2331063628494	-0.233106362849403
139	15	14.3431466253459	0.656853374654135
140	14	13.4023324105785	0.597667589421543
141	13	13.2681281529459	-0.268128152945941
142	14	14.1629831188531	-0.162983118853061
143	16	12.9965076191792	3.00349238082084
144	6	12.0984406347703	-6.09844063477029
145	13	12.2758535932079	0.724146406792058
146	13	12.4500545331438	0.549945466856154
147	14	12.4987643300593	1.50123566994072
148	15	14.6092660630023	0.390733936997654
149	14	14.4346036526198	-0.434603652619843
150	15	14.9691316055414	0.0308683944586446
151	13	14.2971873764856	-1.29718737648558
152	16	14.9263843751828	1.07361562481718
153	12	12.0069836074963	-0.00698360749631072
154	15	13.6252431474298	1.3747568525702
155	12	14.0742766396342	-2.07427663963423
156	14	11.2008351208080	2.79916487919198

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
7	0.506272706266806	0.987454587466387	0.493727293733194
8	0.510099029356319	0.979801941287362	0.489900970643681
9	0.37962776600687	0.75925553201374	0.62037223399313
10	0.262015820422177	0.524031640844354	0.737984179577823
11	0.174826440398121	0.349652880796242	0.825173559601879
12	0.264396177603602	0.528792355207205	0.735603822396398
13	0.524160124740924	0.951679750518151	0.475839875259076
14	0.449159490474247	0.898318980948495	0.550840509525752
15	0.361875680587897	0.723751361175794	0.638124319412103
16	0.33707574409122	0.67415148818244	0.66292425590878
17	0.331560585502796	0.663121171005593	0.668439414497203
18	0.325529353823621	0.651058707647242	0.674470646176379
19	0.325547963061912	0.651095926123823	0.674452036938088
20	0.268013022148459	0.536026044296918	0.731986977851541
21	0.539161511722223	0.921676976555553	0.460838488277777
22	0.46851055034584	0.93702110069168	0.53148944965416
23	0.660704719751795	0.678590560496411	0.339295280248205
24	0.598566777850063	0.802866444299874	0.401433222149937
25	0.556624733001937	0.886750533996126	0.443375266998063
26	0.542506465610961	0.914987068778077	0.457493534389039
27	0.478259557606692	0.956519115213383	0.521740442393308
28	0.434235183028352	0.868470366056704	0.565764816971648
29	0.373188209061207	0.746376418122414	0.626811790938793
30	0.429427122878585	0.85885424575717	0.570572877121415
31	0.583344371542563	0.833311256914874	0.416655628457437
32	0.562942191208503	0.874115617582994	0.437057808791497
33	0.506232413417090	0.987535173165819	0.493767586582910
34	0.512448451905175	0.97510309618965	0.487551548094825
35	0.479842047851584	0.95968409570317	0.520157952148416
36	0.430774460666582	0.861548921333165	0.569225539333418
37	0.428960970442630	0.857921940885259	0.571039029557370
38	0.501834985446111	0.996330029107778	0.498165014553889
39	0.462798381496901	0.925596762993802	0.537201618503099
40	0.42502850220786	0.85005700441572	0.57497149779214
41	0.385540721887791	0.771081443775581	0.614459278112209
42	0.355136262866545	0.71027252573309	0.644863737133455
43	0.312007337954270	0.624014675908541	0.68799266204573
44	0.267032911041656	0.534065822083313	0.732967088958344
45	0.233274609762255	0.46654921952451	0.766725390237745
46	0.19630441175382	0.39260882350764	0.80369558824618
47	0.163983784670007	0.327967569340014	0.836016215329993
48	0.277943660300146	0.555887320600292	0.722056339699854
49	0.236979445783732	0.473958891567464	0.763020554216268
50	0.225652765622211	0.451305531244422	0.77434723437779
51	0.203392735219390	0.406785470438780	0.79660726478061
52	0.281528745848568	0.563057491697137	0.718471254151432
53	0.25287479798349	0.50574959596698	0.74712520201651
54	0.238550078829236	0.477100157658473	0.761449921170764
55	0.203555427158751	0.407110854317501	0.79644457284125
56	0.171927337550133	0.343854675100265	0.828072662449867
57	0.143384647754043	0.286769295508085	0.856615352245957
58	0.145595591392648	0.291191182785297	0.854404408607352
59	0.299625230822803	0.599250461645606	0.700374769177197
60	0.260390604342807	0.520781208685614	0.739609395657193
61	0.229047265430455	0.458094530860911	0.770952734569545
62	0.197146942996599	0.394293885993198	0.802853057003401
63	0.253809400336403	0.507618800672806	0.746190599663597
64	0.229587822008333	0.459175644016665	0.770412177991667
65	0.198656340097578	0.397312680195155	0.801343659902423
66	0.168307934446550	0.336615868893100	0.83169206555345
67	0.188907281886301	0.377814563772602	0.811092718113699
68	0.159513868215202	0.319027736430403	0.840486131784798
69	0.139172383129603	0.278344766259205	0.860827616870397
70	0.424854969748122	0.849709939496244	0.575145030251878
71	0.382806550950123	0.765613101900247	0.617193449049877
72	0.341615455382052	0.683230910764105	0.658384544617948
73	0.317850592572136	0.635701185144273	0.682149407427864
74	0.44326490001232	0.88652980002464	0.55673509998768
75	0.402324667518423	0.804649335036846	0.597675332481577
76	0.382719564926625	0.765439129853251	0.617280435073375
77	0.381175949257079	0.762351898514158	0.618824050742921
78	0.337644145241632	0.675288290483265	0.662355854758367
79	0.358776748195951	0.717553496391901	0.64122325180405
80	0.323845046539881	0.647690093079762	0.676154953460119
81	0.287365890553947	0.574731781107894	0.712634109446053
82	0.270247208318180	0.540494416636361	0.72975279168182
83	0.289131222194431	0.578262444388862	0.710868777805569
84	0.259854104527086	0.519708209054171	0.740145895472914
85	0.239621077624814	0.479242155249628	0.760378922375186
86	0.248552854669424	0.497105709338849	0.751447145330576
87	0.258466681355484	0.516933362710967	0.741533318644516
88	0.301108155246921	0.602216310493842	0.698891844753079
89	0.262178070729956	0.524356141459912	0.737821929270044
90	0.227058750638332	0.454117501276664	0.772941249361668
91	0.272827668531012	0.545655337062024	0.727172331468988
92	0.249885431555877	0.499770863111754	0.750114568444123
93	0.223447793587396	0.446895587174792	0.776552206412604
94	0.205313639278996	0.410627278557992	0.794686360721004
95	0.184292153010234	0.368584306020468	0.815707846989766
96	0.169970249948701	0.339940499897401	0.830029750051299
97	0.156722600264236	0.313445200528473	0.843277399735764
98	0.165721522589754	0.331443045179508	0.834278477410246
99	0.186007950464289	0.372015900928579	0.81399204953571
100	0.163549616508577	0.327099233017154	0.836450383491423
101	0.145714309546206	0.291428619092412	0.854285690453794
102	0.119944236158424	0.239888472316847	0.880055763841576
103	0.160076862863489	0.320153725726978	0.839923137136511
104	0.171727959979564	0.343455919959128	0.828272040020436
105	0.145373688546256	0.290747377092511	0.854626311453744
106	0.129095628663198	0.258191257326396	0.870904371336802
107	0.114923473739066	0.229846947478131	0.885076526260934
108	0.092788227865366	0.185576455730732	0.907211772134634
109	0.109280667073625	0.218561334147249	0.890719332926375
110	0.295230204252768	0.590460408505535	0.704769795747233
111	0.286020061576193	0.572040123152385	0.713979938423807
112	0.269028437558052	0.538056875116105	0.730971562441948
113	0.232297620545952	0.464595241091904	0.767702379454048
114	0.202712919810982	0.405425839621963	0.797287080189018
115	0.191866443853118	0.383732887706236	0.808133556146882
116	0.159039987509060	0.318079975018119	0.84096001249094
117	0.129664646012097	0.259329292024195	0.870335353987903
118	0.164019902890618	0.328039805781235	0.835980097109382
119	0.134413198381635	0.268826396763269	0.865586801618365
120	0.108502927033813	0.217005854067625	0.891497072966188
121	0.0856430839622527	0.171286167924505	0.914356916037747
122	0.0812288915400286	0.162457783080057	0.918771108459971
123	0.0619936689922383	0.123987337984477	0.938006331007762
124	0.0538761543921783	0.107752308784357	0.946123845607822
125	0.0415156598786279	0.0830313197572558	0.958484340121372
126	0.0381767301054907	0.0763534602109815	0.96182326989451
127	0.0288720571931718	0.0577441143863435	0.971127942806828
128	0.0272989689861472	0.0545979379722945	0.972701031013853
129	0.0966913297367285	0.193382659473457	0.903308670263271
130	0.406128592310923	0.812257184621845	0.593871407689077
131	0.360448827000933	0.720897654001866	0.639551172999067
132	0.302933844181565	0.60586768836313	0.697066155818435
133	0.473159424934857	0.946318849869714	0.526840575065143
134	0.414108040985012	0.828216081970023	0.585891959014988
135	0.34580284206556	0.69160568413112	0.65419715793444
136	0.285032385875575	0.57006477175115	0.714967614124425
137	0.224940629975126	0.449881259950252	0.775059370024874
138	0.192646360966971	0.385292721933942	0.807353639033029
139	0.145403249030557	0.290806498061115	0.854596750969443
140	0.121118909056275	0.242237818112550	0.878881090943725
141	0.0865697156418018	0.173139431283604	0.913430284358198
142	0.0583855536504176	0.116771107300835	0.941614446349582
143	0.0683053346479645	0.136610669295929	0.931694665352035
144	0.86693090582733	0.26613818834534	0.13306909417267
145	0.799112258209225	0.40177548358155	0.200887741790775
146	0.70480555629447	0.590388887411061	0.295194443705530
147	0.594556237168248	0.810887525663504	0.405443762831752
148	0.455744932429488	0.911489864858976	0.544255067570512
149	0.313503110196108	0.627006220392216	0.686496889803892

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	0	0	OK
10% type I error level	4	0.0279720279720280	OK