Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

Liked[t] = + 3.98257961482792 + 0.125971845421722Perceived_happiness[t] + 0.303663490104812Popularity[t] + 0.0425109403840113Finding_friends[t] + 0.101947787907027Knowing_people[t] + 0.308821987184138Celebrity[t] + 0.817714644076724Gender[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)	3.98257961482792	1.935829	2.0573	0.043385	0.021692
Perceived_happiness	0.125971845421722	0.093491	1.3474	0.18219	0.091095
Popularity	0.303663490104812	0.097995	3.0988	0.002798	0.001399
Finding_friends	0.0425109403840113	0.135155	0.3145	0.754051	0.377026
Knowing_people	0.101947787907027	0.075687	1.347	0.182336	0.091168
Celebrity	0.308821987184138	0.198098	1.5589	0.123521	0.06176
Gender	0.817714644076724	0.460074	1.7774	0.079854	0.039927

Multiple Linear Regression - Regression Statistics
Multiple R	0.703702909052231
R-squared	0.495197784208573
Adjusted R-squared	0.451929022855022
F-TEST (value)	11.4446951730901
F-TEST (DF numerator)	6
F-TEST (DF denominator)	70
p-value	7.02814140218777e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	1.80833332620379
Sum Squared Residuals	228.904859306149

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	13	14.7887500140159	-1.78875001401595
2	11	11.2193418535750	-0.219341853575041
3	14	13.7375785619651	0.262421438034914
4	12	12.6492751245336	-0.649275124533604
5	12	14.0182847351218	-2.01828473512181
6	6	10.8553686032175	-4.85536860321745
7	10	12.8152863576033	-2.81528635760329
8	11	12.6857121200811	-1.68571212008114
9	10	8.0334684047226	1.96653159527740
10	12	12.3357147125509	-0.335714712550877
11	15	16.477730123962	-1.47773012396199
12	13	12.7252808339484	0.274719166051585
13	11	10.8290262148403	0.170973785159657
14	12	11.7034067053378	0.296593294662223
15	13	13.4339150718603	-0.433915071860267
16	14	14.6230531641491	-0.62305316414911
17	16	15.4976461045665	0.502353895433471
18	16	15.3617723394985	0.638227660501471
19	16	14.2288306186309	1.77116938136910
20	15	15.2922587181368	-0.292258718136765
21	13	12.8708113005744	0.129188699425574
22	8	10.8378237981925	-2.8378237981925
23	14	12.2885801162145	1.71141988378553
24	15	14.6295452522022	0.370454747797843
25	13	13.5833049124740	-0.583304912474038
26	16	14.2811909480971	1.71880905190294
27	13	12.2879284501602	0.712071549839767
28	12	14.2485077644764	-2.24850776447637
29	15	15.4976461045665	-0.497646104566529
30	14	11.3642612601100	2.63573873988996
31	13	13.1068680544456	-0.106868054445558
32	12	10.1660725285858	1.83392747141417
33	14	13.6085539301973	0.391446069802666
34	13	12.0174564817328	0.98254351826721
35	14	14.4730572612127	-0.473057261212694
36	15	15.5482527707782	-0.548252770778241
37	16	14.6317251258184	1.36827487418158
38	15	15.2826020165788	-0.282602016578752
39	5	8.38120381094174	-3.38120381094174
40	15	13.3729172486069	1.62708275139306
41	16	14.0991870889772	1.90081291102280
42	16	14.0991870889772	1.90081291102280
43	14	13.2227631260285	0.777236873971468
44	13	14.9332087423070	-1.93320874230697
45	14	14.9183935436696	-0.91839354366963
46	12	13.1047357136250	-1.10473571362505
47	15	13.6243240422423	1.37567595775766
48	13	11.0476202913814	1.95237970861863
49	10	10.6197319216271	-0.619731921627061
50	13	13.5433525232723	-0.543352523272348
51	14	13.9732152435555	0.0267847564445257
52	13	13.2183390844328	-0.21833908443281
53	18	14.1786717950998	3.82132820490016
54	16	15.5785484584219	0.421451541578082
55	15	14.0385252812456	0.96147471875442
56	14	12.4299582877596	1.57004171224043
57	16	14.5434844012674	1.45651559873256
58	11	10.3772867126996	0.62271328730036
59	13	12.3463046951977	0.653695304802288
60	14	13.7545736342187	0.245426365781316
61	14	11.0453168953556	2.95468310464444
62	12	12.0432817352977	-0.0432817352976996
63	16	12.5394520687229	3.46054793127706
64	14	15.8427074020057	-1.84270740200570
65	12	13.9972393010702	-1.99723930107017
66	13	14.2389202280330	-1.23892022803296
67	13	13.3026265097172	-0.302626509717229
68	10	10.7461516097294	-0.746151609729437
69	15	15.3746528826079	-0.374652882607865
70	13	12.8467872430597	0.153212756940269
71	14	13.6043503465257	0.395649653474324
72	15	11.4436026382351	3.55639736176488
73	14	13.2321993696625	0.76780063033752
74	12	13.605911322256	-1.60591132225599
75	13	14.4780575386500	-1.47805753865003
76	14	13.1257336148809	0.874266385119072
77	4	10.0915880999005	-6.09158809990052

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
10	0.84192399953315	0.3161520009337	0.15807600046685
11	0.751820686841549	0.496358626316903	0.248179313158451
12	0.627200168964775	0.74559966207045	0.372799831035225
13	0.709298062947969	0.581403874104062	0.290701937052031
14	0.674746295349624	0.650507409300752	0.325253704650376
15	0.572189433607494	0.855621132785011	0.427810566392506
16	0.484192416250455	0.96838483250091	0.515807583749545
17	0.444726895556917	0.889453791113833	0.555273104443083
18	0.352965639249335	0.70593127849867	0.647034360750665
19	0.493382649022217	0.986765298044435	0.506617350977783
20	0.40380255210018	0.80760510420036	0.59619744789982
21	0.326864392899042	0.653728785798084	0.673135607100958
22	0.512692718402568	0.974614563194864	0.487307281597432
23	0.57202820006246	0.85594359987508	0.42797179993754
24	0.499710517599151	0.999421035198302	0.500289482400849
25	0.423337238793872	0.846674477587745	0.576662761206128
26	0.423295914788476	0.846591829576951	0.576704085211524
27	0.355195450082464	0.710390900164928	0.644804549917536
28	0.366906146311526	0.733812292623052	0.633093853688474
29	0.301659947877475	0.603319895754949	0.698340052122525
30	0.386347934191975	0.772695868383949	0.613652065808025
31	0.317136042503450	0.634272085006901	0.68286395749655
32	0.318572183306984	0.637144366613969	0.681427816693016
33	0.280458906978885	0.56091781395777	0.719541093021115
34	0.233738341566351	0.467476683132702	0.766261658433649
35	0.192060935598243	0.384121871196485	0.807939064401757
36	0.153410561749095	0.30682112349819	0.846589438250905
37	0.139251947372773	0.278503894745545	0.860748052627228
38	0.102993434355486	0.205986868710972	0.897006565644514
39	0.223019121654959	0.446038243309917	0.776980878345041
40	0.211344435873583	0.422688871747166	0.788655564126417
41	0.212551714571639	0.425103429143278	0.78744828542836
42	0.210201944374844	0.420403888749687	0.789798055625156
43	0.170935349721899	0.341870699443798	0.8290646502781
44	0.175795074898341	0.351590149796682	0.82420492510166
45	0.152201975969907	0.304403951939814	0.847798024030093
46	0.122019246860301	0.244038493720601	0.8779807531397
47	0.134208650148132	0.268417300296264	0.865791349851868
48	0.121716344000253	0.243432688000507	0.878283655999747
49	0.115847207835565	0.231694415671130	0.884152792164435
50	0.0871204463907079	0.174240892781416	0.912879553609292
51	0.0620793676114744	0.124158735222949	0.937920632388526
52	0.0453383958150519	0.0906767916301039	0.954661604184948
53	0.150887873768172	0.301775747536345	0.849112126231828
54	0.110547990263357	0.221095980526714	0.889452009736643
55	0.0855059370623598	0.171011874124720	0.91449406293764
56	0.0628738087193125	0.125747617438625	0.937126191280688
57	0.046196238773681	0.092392477547362	0.953803761226319
58	0.0297272079488836	0.0594544158977672	0.970272792051116
59	0.0192272967290860	0.0384545934581721	0.980772703270914
60	0.0118694983498478	0.0237389966996957	0.988130501650152
61	0.0480348176530805	0.096069635306161	0.95196518234692
62	0.0286915983737231	0.0573831967474462	0.971308401626277
63	0.157711305524631	0.315422611049262	0.84228869447537
64	0.149196911092176	0.298393822184352	0.850803088907824
65	0.500418233961791	0.999163532076417	0.499581766038209
66	0.509389633988693	0.981220732022614	0.490610366011307
67	0.456099411492222	0.912198822984445	0.543900588507778

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	2	0.0344827586206897	OK
10% type I error level	7	0.120689655172414	NOK