Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.311900251104237 + 0.0962538968572747FindingFriends[t] + 0.243370280084764KnowingPeople[t] + 0.351380635996807Liked[t] + 0.627591839447788Celebrity[t] -0.000729053587325965t + 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)	0.311900251104237	1.430354	0.2181	0.82768	0.41384
FindingFriends	0.0962538968572747	0.096681	0.9956	0.321055	0.160528
KnowingPeople	0.243370280084764	0.061616	3.9498	0.00012	6e-05
Liked	0.351380635996807	0.097657	3.5981	0.000435	0.000217
Celebrity	0.627591839447788	0.156555	4.0088	9.6e-05	4.8e-05
t	-0.000729053587325965	0.003824	-0.1907	0.84905	0.424525

Multiple Linear Regression - Regression Statistics
Multiple R	0.706626862823286
R-squared	0.499321523263479
Adjusted R-squared	0.482632240705595
F-TEST (value)	29.918693121269
F-TEST (DF numerator)	5
F-TEST (DF denominator)	150
p-value	0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	2.11226554360225
Sum Squared Residuals	669.249859003394

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	11.42037956415	1.57962043584996
2	12	11.1183586120924	0.88164138790758
3	15	13.5803366325678	1.41966336743219
4	12	10.8609797377122	1.13902026228784
5	10	10.7076429457918	-0.707642945791809
6	12	9.26550780276597	2.73449219723403
7	15	16.7976081800186	-1.79760818001857
8	9	10.5137420193814	-1.51374201938135
9	12	12.2972657140387	-0.297265714038741
10	11	8.01514785864562	2.98485214135438
11	11	13.3639545679283	-2.36395456792827
12	11	12.1173901199244	-1.11739011992443
13	15	12.2582860944591	2.74171390554094
14	7	11.2966264076535	-4.29662640765352
15	11	11.6856102685348	-0.685610268534755
16	11	10.9946501508523	0.00534984914772395
17	10	12.1137448519878	-2.1137448519878
18	14	14.3957655658695	-0.395765565869486
19	10	8.73322614073082	1.26677385926918
20	6	9.53698333187754	-3.53698333187754
21	11	8.68959910493327	2.31040089506673
22	15	14.4256902748864	0.574309725113601
23	11	11.6562446425042	-0.656244642504229
24	12	9.52859604164508	2.47140395835492
25	14	13.4327741796251	0.56722582037494
26	15	14.8766736973404	0.123326302659594
27	9	14.6654152870345	-5.66541528703453
28	13	12.5259899478982	0.474010052101763
29	13	13.249106630616	-0.249106630615974
30	16	10.8217339081963	5.17826609180369
31	13	8.5202132449136	4.4797867550864
32	12	13.6193845701623	-1.61938457016225
33	14	14.5139245822831	-0.513924582283089
34	11	10.0824214704211	0.917578529578899
35	9	10.4940575725236	-1.49405757252355
36	16	14.2746322453856	1.72536775461442
37	12	12.9099354081469	-0.90993540814694
38	10	9.20532065467508	0.794679345324915
39	13	13.0829432524605	-0.0829432524604571
40	16	15.2506885064809	0.749311493519134
41	14	12.9343687620583	1.06563123794168
42	15	8.11237898688407	6.88762101311592
43	5	9.7706647906915	-4.7706647906915
44	8	10.4992525492924	-2.49925254929239
45	11	11.2669666144311	-0.26696661443111
46	16	13.813442072709	2.18655792729099
47	17	13.0442699003956	3.95573009960437
48	9	8.5023482580459	0.4976517419541
49	9	11.9613203169699	-2.96132031696988
50	13	14.7120600280171	-1.71206002801709
51	10	10.9801159855069	-0.980115985506942
52	6	12.4215667702018	-6.42156677020182
53	12	12.4060386354747	-0.406038635474658
54	8	10.4528559861037	-2.45285598610368
55	14	12.3928240692452	1.60717593075476
56	12	12.4429575020281	-0.442957502028128
57	11	10.7840076191121	0.215992380887871
58	16	14.4174659087467	1.58253409125334
59	8	10.2872749745773	-2.28727497457734
60	15	15.2689483581006	-0.268948358100565
61	7	9.4687801355478	-2.46878013554781
62	16	14.0005501129756	1.99944988702443
63	14	13.7384089370771	0.261591062922901
64	16	13.7674781847709	2.23252181522908
65	9	9.94554534935272	-0.945545349352724
66	14	12.2885505829274	1.71144941707262
67	11	13.0507732929606	-2.05077329296056
68	13	10.4754901592473	2.52450984075266
69	15	12.9139552616132	2.08604473838681
70	5	5.59398903521193	-0.59398903521193
71	15	12.4320216982182	2.56797830178176
72	13	12.2841762614034	0.715823738596577
73	11	12.0518333867861	-1.0518333867861
74	11	13.9816794366049	-2.9816794366049
75	12	12.4737028662899	-0.473702866289919
76	12	13.3955924466714	-1.39559244667144
77	12	12.268774534412	-0.268774534412026
78	12	11.8947863524504	0.105213647549632
79	14	10.7860102824173	3.21398971758266
80	6	7.98921508177449	-1.98921508177449
81	7	9.83842062316431	-2.83842062316431
82	14	11.9755735478375	2.0244264521625
83	14	13.8616365225238	0.13836347747623
84	10	11.2447986284746	-1.24479862847463
85	13	8.72117200919769	4.27882799080231
86	12	12.4030643314044	-0.403064331404351
87	9	9.27840141287423	-0.27840141287423
88	12	12.0072626315439	-0.0072626315439181
89	16	15.0044355239833	0.995564476016653
90	10	10.2223458041906	-0.222345804190629
91	14	13.1256932535709	0.874306746429131
92	10	13.503694404241	-3.50369440424103
93	16	15.3083025632099	0.691697436790135
94	15	13.4333319684698	1.56666803153022
95	12	11.3330329358713	0.666967064128684
96	10	9.71947446344238	0.280525536557623
97	8	10.2219397561188	-2.22193975611881
98	8	8.59192749759564	-0.591927497595641
99	11	12.8256077791949	-1.8256077791949
100	13	12.4046140402366	0.595385959763445
101	16	15.4495865177387	0.550413482261253
102	16	14.7069901648424	1.29300983515764
103	14	15.8120595336817	-1.81205953368174
104	11	8.86619283332075	2.13380716667925
105	4	6.94035975221045	-2.94035975221045
106	14	14.5624489223711	-0.562448922371106
107	9	10.3242273530674	-1.32422735306736
108	14	15.2339537859089	-1.23395378590892
109	8	10.4307796018048	-2.43077960180475
110	8	10.8768910530054	-2.87689105300543
111	11	12.1712457336952	-1.1712457336952
112	12	13.6119227695464	-1.61192276954639
113	11	11.4216552232623	-0.421655223262261
114	14	13.5839091221771	0.416090877822867
115	15	14.3187822639496	0.681217736050363
116	16	13.3781867622332	2.62181323776684
117	16	13.4737116055031	2.52628839449689
118	11	12.7155221434008	-1.71552214340081
119	14	13.7156237784132	0.284376221586775
120	14	10.9305850368251	3.06941496317486
121	12	11.3774905160919	0.622509483908102
122	14	12.5301998894373	1.46980011056266
123	8	10.1982870358089	-2.19828703580887
124	13	13.8082324073339	-0.80823240733387
125	16	13.7112494568893	2.28875054311073
126	12	10.8925960430913	1.10740395690872
127	16	15.424366020519	0.575633979480958
128	12	13.3576816601305	-1.35768166013049
129	11	11.4788744152393	-0.478874415239258
130	4	6.36326604189702	-2.36326604189702
131	16	15.4214498061697	0.578550193830262
132	15	12.5284007086696	2.47159929133039
133	10	11.4494026606953	-1.44940266069535
134	13	13.1788413871184	-0.178841387118361
135	15	13.2172183608465	1.78278163915352
136	12	10.6364438720277	1.36355612797228
137	14	13.6062469169841	0.393753083015917
138	7	10.6294944097475	-3.62949440974753
139	19	14.0524233426635	4.94757665733649
140	12	12.6368437398323	-0.636843739832278
141	12	12.2401366678272	-0.240136667827161
142	13	13.45548526582	-0.455485265819964
143	15	12.9023338053307	2.09766619466933
144	8	8.22180947772168	-0.221809477721678
145	12	10.8732526698265	1.12674733017345
146	10	10.7637395114835	-0.763739511483486
147	8	11.364026477927	-3.36402647792696
148	10	14.3346235509494	-4.3346235509494
149	15	13.8408685540209	1.15913144597906
150	16	14.5694765918442	1.43052340815579
151	13	13.1421405299582	-0.142140529958208
152	16	15.0219181214729	0.978081878527131
153	9	10.1764154281891	-1.17641542818909
154	14	13.1188689048848	0.881131095115219
155	14	12.6469924003338	1.35300759966616
156	12	10.1085464206947	1.89145357930532

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.0271288973144725	0.054257794628945	0.972871102685527
10	0.0237320160187825	0.047464032037565	0.976267983981218
11	0.0500746483944131	0.100149296788826	0.949925351605587
12	0.0336895022363796	0.0673790044727592	0.96631049776362
13	0.43771699354397	0.875433987087939	0.56228300645603
14	0.631656304602175	0.736687390795651	0.368343695397825
15	0.564406468568958	0.871187062862085	0.435593531431042
16	0.489853896617639	0.979707793235279	0.510146103382361
17	0.407174961263709	0.814349922527418	0.592825038736291
18	0.375228327888679	0.750456655777358	0.624771672111321
19	0.323424298017495	0.646848596034991	0.676575701982505
20	0.450755020313337	0.901510040626674	0.549244979686663
21	0.455250233936693	0.910500467873386	0.544749766063307
22	0.498067015927554	0.996134031855107	0.501932984072446
23	0.436371586039588	0.872743172079176	0.563628413960412
24	0.454569124582036	0.909138249164072	0.545430875417964
25	0.430355914805024	0.860711829610048	0.569644085194976
26	0.376137803284551	0.752275606569102	0.623862196715449
27	0.607141574223035	0.785716851553929	0.392858425776964
28	0.558213708658504	0.883572582682992	0.441786291341496
29	0.501877526164308	0.996244947671385	0.498122473835692
30	0.680614978273514	0.638770043452972	0.319385021726486
31	0.784874824073709	0.430250351852581	0.215125175926291
32	0.747531869458115	0.50493626108377	0.252468130541885
33	0.699162236299025	0.60167552740195	0.300837763700975
34	0.663536604513489	0.672926790973023	0.336463395486511
35	0.669657108768265	0.66068578246347	0.330342891231735
36	0.677031010873086	0.645937978253828	0.322968989126914
37	0.644196270547147	0.711607458905706	0.355803729452853
38	0.594445117584088	0.811109764831824	0.405554882415912
39	0.54024751934887	0.91950496130226	0.45975248065113
40	0.510925384464888	0.978149231070224	0.489074615535112
41	0.470276725018736	0.940553450037471	0.529723274981264
42	0.73593252757433	0.528134944851339	0.26406747242567
43	0.949896926661653	0.100206146676695	0.0501030733383473
44	0.961863763625622	0.0762724727487558	0.0381362363743779
45	0.950479420029323	0.0990411599413531	0.0495205799706766
46	0.956121562441371	0.0877568751172581	0.0438784375586291
47	0.978005041638857	0.0439899167222854	0.0219949583611427
48	0.970977851856592	0.0580442962868155	0.0290221481434077
49	0.979869971208341	0.0402600575833186	0.0201300287916593
50	0.976882069208047	0.0462358615839069	0.0231179307919534
51	0.972188747529155	0.0556225049416899	0.0278112524708449
52	0.997313877436859	0.00537224512628198	0.00268612256314099
53	0.996146192790614	0.0077076144187722	0.0038538072093861
54	0.996909857342269	0.00618028531546138	0.00309014265773069
55	0.996789174791947	0.00642165041610641	0.00321082520805321
56	0.99547462674024	0.00905074651952008	0.00452537325976004
57	0.993655762891814	0.0126884742163714	0.00634423710818569
58	0.992966186786152	0.0140676264276951	0.00703381321384755
59	0.994591443992065	0.0108171120158696	0.0054085560079348
60	0.992928010947237	0.0141439781055269	0.00707198905276343
61	0.993793912215512	0.0124121755689765	0.00620608778448824
62	0.994479896176263	0.0110402076474742	0.00552010382373709
63	0.992674929042306	0.0146501419153878	0.00732507095769389
64	0.993195313062856	0.0136093738742871	0.00680468693714357
65	0.99136242508632	0.0172751498273609	0.00863757491368044
66	0.990606359909093	0.0187872801818146	0.00939364009090729
67	0.990515114431232	0.0189697711375371	0.00948488556876853
68	0.992012311213737	0.0159753775725258	0.00798768878626288
69	0.992159276137787	0.0156814477244258	0.0078407238622129
70	0.989475595730578	0.0210488085388445	0.0105244042694222
71	0.99114658164435	0.0177068367112996	0.00885341835564978
72	0.988363180633268	0.0232736387334635	0.0116368193667318
73	0.985394380199667	0.0292112396006668	0.0146056198003334
74	0.98942340946403	0.0211531810719393	0.0105765905359696
75	0.985733315128355	0.0285333697432906	0.0142666848716453
76	0.983271056609379	0.0334578867812428	0.0167289433906214
77	0.977992489647992	0.0440150207040156	0.0220075103520078
78	0.970991389696049	0.0580172206079011	0.0290086103039505
79	0.981765248884743	0.0364695022305147	0.0182347511152574
80	0.980886214979935	0.0382275700401304	0.0191137850200652
81	0.984064893625104	0.0318702127497929	0.0159351063748964
82	0.985001189458743	0.0299976210825143	0.0149988105412572
83	0.979919393845566	0.0401612123088683	0.0200806061544342
84	0.97530171908528	0.0493965618294392	0.0246982809147196
85	0.993587234709698	0.0128255305806037	0.00641276529030183
86	0.991135110114601	0.0177297797707973	0.00886488988539866
87	0.988020449050021	0.0239591018999589	0.0119795509499795
88	0.984352853029984	0.031294293940033	0.0156471469700165
89	0.980594392819938	0.0388112143601248	0.0194056071800624
90	0.974571293674753	0.0508574126504931	0.0254287063252466
91	0.970102708590616	0.0597945828187672	0.0298972914093836
92	0.981754149379339	0.0364917012413225	0.0182458506206613
93	0.976473922759029	0.0470521544819421	0.023526077240971
94	0.973686917170783	0.0526261656584349	0.0263130828292174
95	0.96749354240508	0.0650129151898403	0.0325064575949201
96	0.959984093492006	0.0800318130159871	0.0400159065079936
97	0.956231924218429	0.0875361515631425	0.0437680757815713
98	0.944653293551337	0.110693412897326	0.0553467064486631
99	0.939551430804507	0.120897138390987	0.0604485691954934
100	0.927186228815638	0.145627542368725	0.0728137711843623
101	0.90965443157833	0.18069113684334	0.0903455684216701
102	0.897477661405154	0.205044677189692	0.102522338594846
103	0.899061654614461	0.201876690771079	0.100938345385539
104	0.934848375124725	0.130303249750549	0.0651516248752747
105	0.931324635983792	0.137350728032416	0.0686753640162082
106	0.912549356355866	0.174901287288269	0.0874506436441343
107	0.893024651661996	0.213950696676008	0.106975348338004
108	0.884385350042089	0.231229299915823	0.115614649957911
109	0.880434174354857	0.239131651290285	0.119565825645143
110	0.902229301375204	0.195541397249592	0.0977706986247961
111	0.893033452157635	0.21393309568473	0.106966547842365
112	0.927979968102992	0.144040063794016	0.0720200318970082
113	0.90683113463983	0.186337730720339	0.0931688653601697
114	0.883707520886727	0.232584958226545	0.116292479113273
115	0.85636259365643	0.28727481268714	0.14363740634357
116	0.851984345793722	0.296031308412556	0.148015654206278
117	0.856968071949158	0.286063856101684	0.143031928050842
118	0.85091577610826	0.298168447783479	0.14908422389174
119	0.816568062541468	0.366863874917065	0.183431937458532
120	0.863431181346933	0.273137637306134	0.136568818653067
121	0.836895978377214	0.326208043245573	0.163104021622786
122	0.815218552596203	0.369562894807593	0.184781447403797
123	0.802197681751186	0.395604636497627	0.197802318248814
124	0.761517246718793	0.476965506562415	0.238482753281207
125	0.763932977711338	0.472134044577324	0.236067022288662
126	0.754777102760488	0.490445794479024	0.245222897239512
127	0.701166807279828	0.597666385440343	0.298833192720172
128	0.664311142846481	0.671377714307038	0.335688857153519
129	0.679217672931069	0.641564654137861	0.320782327068931
130	0.680976361163367	0.638047277673266	0.319023638836633
131	0.629433684744462	0.741132630511077	0.370566315255538
132	0.601317962540632	0.797364074918737	0.398682037459368
133	0.588562363407912	0.822875273184176	0.411437636592088
134	0.51398051650978	0.972038966980441	0.48601948349022
135	0.471456293692949	0.942912587385898	0.528543706307051
136	0.461456555572392	0.922913111144785	0.538543444427608
137	0.386247460572806	0.772494921145613	0.613752539427194
138	0.458288756373684	0.916577512747368	0.541711243626316
139	0.819063253587958	0.361873492824083	0.180936746412042
140	0.825905389449817	0.348189221100366	0.174094610550183
141	0.789378580520582	0.421242838958836	0.210621419479418
142	0.719747878942648	0.560504242114705	0.280252121057352
143	0.657440650234046	0.685118699531909	0.342559349765954
144	0.54245115139797	0.91509769720406	0.45754884860203
145	0.620754860570398	0.758490278859203	0.379245139429602
146	0.772988593262024	0.454022813475953	0.227011406737976
147	0.630413159579242	0.739173680841516	0.369586840420758

Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description	# significant tests	% significant tests	OK/NOK
1% type I error level	5	0.0359712230215827	NOK
5% type I error level	43	0.309352517985612	NOK
10% type I error level	57	0.410071942446043	NOK