Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Popularity[t] = + 0.311900251104237 + 0.0962538968572746FindingFriends[t] + 0.243370280084765KnowingPeople[t] + 0.351380635996807Liked[t] + 0.627591839447788Celebrity[t] -0.000729053587325985t + 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	0.0962538968572746	0.096681	0.9956	0.321055	0.160528
KnowingPeople	0.243370280084765	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	-0.000729053587325985	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	11.4203795641500	1.57962043585001
2	12	11.1183586120924	0.881641387907585
3	15	13.5803366325678	1.41966336743221
4	12	10.8609797377121	1.13902026228785
5	10	10.7076429457918	-0.707642945791806
6	12	9.26550780276597	2.73449219723403
7	15	16.7976081800186	-1.79760818001857
8	9	10.5137420193814	-1.51374201938136
9	12	12.2972657140387	-0.297265714038744
10	11	8.01514785864563	2.98485214135437
11	11	13.3639545679283	-2.36395456792827
12	11	12.1173901199244	-1.11739011992444
13	15	12.2582860944591	2.74171390554094
14	7	11.2966264076535	-4.29662640765352
15	11	11.6856102685348	-0.685610268534754
16	11	10.9946501508523	0.00534984914772031
17	10	12.1137448519878	-2.11374485198781
18	14	14.3957655658695	-0.395765565869487
19	10	8.73322614073083	1.26677385926917
20	6	9.53698333187755	-3.53698333187755
21	11	8.68959910493328	2.31040089506672
22	15	14.4256902748864	0.5743097251136
23	11	11.6562446425042	-0.656244642504234
24	12	9.52859604164508	2.47140395835491
25	14	13.4327741796251	0.567225820374939
26	15	14.8766736973404	0.123326302659592
27	9	14.6654152870345	-5.66541528703453
28	13	12.5259899478982	0.47401005210176
29	13	13.2491066306160	-0.249106630615976
30	16	10.8217339081963	5.17826609180369
31	13	8.5202132449136	4.4797867550864
32	12	13.6193845701623	-1.61938457016225
33	14	14.5139245822831	-0.513924582283088
34	11	10.0824214704211	0.917578529578896
35	9	10.4940575725236	-1.49405757252356
36	16	14.2746322453856	1.72536775461442
37	12	12.9099354081469	-0.909935408146939
38	10	9.20532065467509	0.794679345324912
39	13	13.0829432524605	-0.0829432524604587
40	16	15.2506885064809	0.749311493519133
41	14	12.9343687620583	1.06563123794168
42	15	8.11237898688408	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	0.497651741954098
49	9	11.9613203169699	-2.96132031696988
50	13	14.7120600280171	-1.71206002801709
51	10	10.9801159855069	-0.980115985506941
52	6	12.4215667702018	-6.42156677020182
53	12	12.4060386354747	-0.406038635474659
54	8	10.4528559861037	-2.45285598610368
55	14	12.3928240692452	1.60717593075476
56	12	12.4429575020281	-0.44295750202813
57	11	10.7840076191121	0.215992380887868
58	16	14.4174659087467	1.58253409125334
59	8	10.2872749745773	-2.28727497457734
60	15	15.2689483581006	-0.268948358100564
61	7	9.4687801355478	-2.46878013554781
62	16	14.0005501129756	1.99944988702443
63	14	13.7384089370771	0.261591062922897
64	16	13.7674781847709	2.23252181522908
65	9	9.94554534935273	-0.945545349352725
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	-0.593989035211934
71	15	12.4320216982182	2.56797830178176
72	13	12.2841762614034	0.715823738596576
73	11	12.0518333867861	-1.0518333867861
74	11	13.9816794366049	-2.9816794366049
75	12	12.4737028662899	-0.47370286628992
76	12	13.3955924466714	-1.39559244667144
77	12	12.2687745344120	-0.268774534412027
78	12	11.8947863524504	0.105213647549630
79	14	10.7860102824173	3.21398971758266
80	6	7.98921508177449	-1.98921508177449
81	7	9.8384206231643	-2.83842062316431
82	14	11.9755735478375	2.0244264521625
83	14	13.8616365225238	0.138363477476231
84	10	11.2447986284746	-1.24479862847463
85	13	8.72117200919769	4.27882799080231
86	12	12.4030643314044	-0.403064331404351
87	9	9.27840141287423	-0.278401412874232
88	12	12.0072626315439	-0.00726263154391892
89	16	15.0044355239833	0.995564476016654
90	10	10.2223458041906	-0.22234580419063
91	14	13.1256932535709	0.874306746429133
92	10	13.5036944042410	-3.50369440424103
93	16	15.3083025632099	0.691697436790136
94	15	13.4333319684698	1.56666803153022
95	12	11.3330329358713	0.666967064128683
96	10	9.71947446344238	0.280525536557622
97	8	10.2219397561188	-2.22193975611881
98	8	8.59192749759564	-0.591927497595643
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	6.94035975221046	-2.94035975221046
106	14	14.5624489223711	-0.562448922371101
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	-1.17124573369520
112	12	13.6119227695464	-1.61192276954639
113	11	11.4216552232623	-0.421655223262259
114	14	13.5839091221771	0.416090877822868
115	15	14.3187822639496	0.681217736050366
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	15.4243660205190	0.575633979480961
128	12	13.3576816601305	-1.35768166013049
129	11	11.4788744152393	-0.478874415239257
130	4	6.36326604189703	-2.36326604189703
131	16	15.4214498061697	0.578550193830265
132	15	12.5284007086696	2.47159929133039
133	10	11.4494026606953	-1.44940266069535
134	13	13.1788413871184	-0.178841387118357
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	-0.240136667827162
142	13	13.4554852658200	-0.455485265819963
143	15	12.9023338053307	2.09766619466933
144	8	8.22180947772168	-0.221809477721681
145	12	10.8732526698265	1.12674733017345
146	10	10.7637395114835	-0.763739511483482
147	8	11.3640264779270	-3.36402647792696
148	10	14.3346235509494	-4.3346235509494
149	15	13.8408685540209	1.15913144597906
150	16	14.5694765918442	1.43052340815579
151	13	13.1421405299582	-0.142140529958206
152	16	15.0219181214729	0.978081878527133
153	9	10.1764154281891	-1.17641542818909
154	14	13.1188689048848	0.88113109511522
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	0.0542577946289451	0.972871102685527
10	0.0237320160187823	0.0474640320375646	0.976267983981218
11	0.0500746483944133	0.100149296788827	0.949925351605587
12	0.0336895022363794	0.0673790044727588	0.96631049776362
13	0.43771699354397	0.87543398708794	0.56228300645603
14	0.631656304602175	0.73668739079565	0.368343695397825
15	0.564406468568958	0.871187062862084	0.435593531431042
16	0.489853896617638	0.979707793235277	0.510146103382362
17	0.407174961263709	0.814349922527417	0.592825038736291
18	0.375228327888680	0.750456655777359	0.62477167211132
19	0.323424298017495	0.64684859603499	0.676575701982505
20	0.450755020313334	0.901510040626668	0.549244979686666
21	0.455250233936695	0.91050046787339	0.544749766063305
22	0.498067015927554	0.996134031855108	0.501932984072446
23	0.436371586039589	0.872743172079178	0.563628413960411
24	0.454569124582036	0.909138249164071	0.545430875417964
25	0.430355914805024	0.860711829610048	0.569644085194976
26	0.37613780328455	0.7522756065691	0.62386219671545
27	0.607141574223036	0.785716851553928	0.392858425776964
28	0.558213708658504	0.883572582682992	0.441786291341496
29	0.501877526164309	0.996244947671382	0.498122473835691
30	0.680614978273516	0.638770043452967	0.319385021726484
31	0.78487482407371	0.430250351852582	0.215125175926291
32	0.747531869458115	0.504936261083771	0.252468130541885
33	0.699162236299025	0.601675527401951	0.300837763700975
34	0.663536604513489	0.672926790973022	0.336463395486511
35	0.669657108768266	0.660685782463467	0.330342891231734
36	0.677031010873087	0.645937978253827	0.322968989126913
37	0.644196270547146	0.711607458905707	0.355803729452854
38	0.594445117584089	0.811109764831822	0.405554882415911
39	0.540247519348869	0.919504961302263	0.459752480651131
40	0.510925384464888	0.978149231070224	0.489074615535112
41	0.470276725018734	0.940553450037468	0.529723274981266
42	0.735932527574331	0.528134944851338	0.264067472425669
43	0.949896926661653	0.100206146676694	0.0501030733383468
44	0.961863763625622	0.0762724727487554	0.0381362363743777
45	0.950479420029323	0.099041159941353	0.0495205799706765
46	0.95612156244137	0.087756875117259	0.0438784375586295
47	0.978005041638857	0.0439899167222855	0.0219949583611428
48	0.970977851856593	0.0580442962868146	0.0290221481434073
49	0.97986997120834	0.0402600575833185	0.0201300287916592
50	0.976882069208047	0.0462358615839068	0.0231179307919534
51	0.972188747529155	0.0556225049416906	0.0278112524708453
52	0.99731387743686	0.00537224512628198	0.00268612256314099
53	0.996146192790614	0.00770761441877232	0.00385380720938616
54	0.99690985734227	0.00618028531546141	0.00309014265773070
55	0.996789174791947	0.00642165041610637	0.00321082520805318
56	0.99547462674024	0.0090507465195201	0.00452537325976005
57	0.993655762891814	0.0126884742163714	0.00634423710818572
58	0.992966186786152	0.0140676264276952	0.0070338132138476
59	0.994591443992065	0.0108171120158696	0.0054085560079348
60	0.992928010947237	0.0141439781055268	0.00707198905276341
61	0.993793912215512	0.0124121755689765	0.00620608778448825
62	0.994479896176263	0.0110402076474742	0.00552010382373709
63	0.992674929042306	0.0146501419153876	0.00732507095769381
64	0.993195313062856	0.0136093738742873	0.00680468693714367
65	0.99136242508632	0.0172751498273610	0.00863757491368051
66	0.990606359909093	0.0187872801818146	0.00939364009090729
67	0.99051511443123	0.0189697711375376	0.00948488556876878
68	0.992012311213737	0.0159753775725256	0.00798768878626282
69	0.992159276137787	0.0156814477244258	0.0078407238622129
70	0.989475595730578	0.0210488085388444	0.0105244042694222
71	0.99114658164435	0.0177068367112994	0.0088534183556497
72	0.988363180633268	0.0232736387334636	0.0116368193667318
73	0.985394380199667	0.0292112396006669	0.0146056198003334
74	0.98942340946403	0.0211531810719391	0.0105765905359696
75	0.985733315128355	0.0285333697432905	0.0142666848716452
76	0.983271056609379	0.0334578867812428	0.0167289433906214
77	0.977992489647992	0.0440150207040159	0.0220075103520080
78	0.97099138969605	0.0580172206079015	0.0290086103039507
79	0.981765248884743	0.0364695022305145	0.0182347511152572
80	0.980886214979935	0.0382275700401303	0.0191137850200652
81	0.984064893625104	0.031870212749793	0.0159351063748965
82	0.985001189458743	0.0299976210825148	0.0149988105412574
83	0.979919393845565	0.040161212308869	0.0200806061544345
84	0.97530171908528	0.0493965618294395	0.0246982809147198
85	0.993587234709698	0.0128255305806038	0.00641276529030189
86	0.991135110114601	0.0177297797707974	0.00886488988539868
87	0.98802044905002	0.0239591018999588	0.0119795509499794
88	0.984352853029984	0.0312942939400328	0.0156471469700164
89	0.980594392819938	0.0388112143601248	0.0194056071800624
90	0.974571293674754	0.0508574126504927	0.0254287063252463
91	0.970102708590616	0.0597945828187673	0.0298972914093836
92	0.981754149379339	0.0364917012413225	0.0182458506206612
93	0.976473922759029	0.0470521544819423	0.0235260772409712
94	0.973686917170783	0.0526261656584347	0.0263130828292174
95	0.96749354240508	0.0650129151898406	0.0325064575949203
96	0.959984093492007	0.0800318130159869	0.0400159065079935
97	0.956231924218429	0.0875361515631423	0.0437680757815712
98	0.944653293551337	0.110693412897327	0.0553467064486635
99	0.939551430804507	0.120897138390987	0.0604485691954934
100	0.927186228815638	0.145627542368725	0.0728137711843623
101	0.90965443157833	0.180691136843340	0.0903455684216701
102	0.897477661405154	0.205044677189692	0.102522338594846
103	0.89906165461446	0.201876690771080	0.100938345385540
104	0.934848375124725	0.130303249750549	0.0651516248752747
105	0.931324635983792	0.137350728032416	0.0686753640162081
106	0.912549356355866	0.174901287288268	0.0874506436441342
107	0.893024651661996	0.213950696676009	0.106975348338004
108	0.884385350042088	0.231229299915824	0.115614649957912
109	0.880434174354857	0.239131651290286	0.119565825645143
110	0.902229301375204	0.195541397249593	0.0977706986247963
111	0.893033452157635	0.213933095684730	0.106966547842365
112	0.927979968102992	0.144040063794017	0.0720200318970083
113	0.90683113463983	0.186337730720340	0.0931688653601698
114	0.883707520886727	0.232584958226546	0.116292479113273
115	0.85636259365643	0.287274812687139	0.143637406343570
116	0.851984345793722	0.296031308412557	0.148015654206278
117	0.856968071949157	0.286063856101685	0.143031928050843
118	0.85091577610826	0.29816844778348	0.14908422389174
119	0.816568062541469	0.366863874917062	0.183431937458531
120	0.863431181346933	0.273137637306134	0.136568818653067
121	0.836895978377214	0.326208043245573	0.163104021622786
122	0.815218552596204	0.369562894807593	0.184781447403796
123	0.802197681751186	0.395604636497628	0.197802318248814
124	0.761517246718793	0.476965506562414	0.238482753281207
125	0.763932977711337	0.472134044577326	0.236067022288663
126	0.754777102760487	0.490445794479025	0.245222897239513
127	0.701166807279828	0.597666385440345	0.298833192720172
128	0.664311142846483	0.671377714307035	0.335688857153517
129	0.679217672931071	0.641564654137859	0.320782327068929
130	0.680976361163367	0.638047277673267	0.319023638836633
131	0.629433684744462	0.741132630511076	0.370566315255538
132	0.601317962540632	0.797364074918736	0.398682037459368
133	0.588562363407912	0.822875273184176	0.411437636592088
134	0.513980516509781	0.972038966980438	0.486019483490219
135	0.471456293692949	0.942912587385897	0.528543706307051
136	0.461456555572394	0.922913111144788	0.538543444427606
137	0.386247460572805	0.77249492114561	0.613752539427195
138	0.458288756373684	0.916577512747368	0.541711243626316
139	0.819063253587959	0.361873492824083	0.180936746412041
140	0.825905389449817	0.348189221100366	0.174094610550183
141	0.789378580520582	0.421242838958836	0.210621419479418
142	0.719747878942648	0.560504242114704	0.280252121057352
143	0.657440650234045	0.685118699531909	0.342559349765955
144	0.542451151397969	0.915097697204062	0.457548848602031
145	0.620754860570403	0.758490278859195	0.379245139429597
146	0.772988593262024	0.454022813475951	0.227011406737976
147	0.630413159579241	0.739173680841518	0.369586840420759

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