Repository of Reproducible Computations

Multiple Linear Regression - Estimated Regression Equation

T40[t] = + 0.120067687414626 + 0.25921957368275UseLimit[t] + 0.0738012652830754Used[t] + 0.374752665258433CorrectAnalysis[t] + 0.00112558249204212Useful[t] + 0.0244983055985718Outcome[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)	0.120067687414626	0.076648	1.5665	0.121186	0.060593
UseLimit	0.25921957368275	0.101811	2.5461	0.012813	0.006407
Used	0.0738012652830754	0.113722	0.649	0.518223	0.259111
CorrectAnalysis	0.374752665258433	0.171564	2.1843	0.031866	0.015933
Useful	0.00112558249204212	0.100664	0.0112	0.991106	0.495553
Outcome	0.0244983055985718	0.092335	0.2653	0.791446	0.395723

Multiple Linear Regression - Regression Statistics
Multiple R	0.407865534785098
R-squared	0.166354294465534
Adjusted R-squared	0.114251437869629
F-TEST (value)	3.1928056412671
F-TEST (DF numerator)	5
F-TEST (DF denominator)	80
p-value	0.0111479779232316
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	0.419016121151445
Sum Squared Residuals	14.0459607827842

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	1	0.403785566695948	0.596214433304052
2	0	0.120067687414626	-0.120067687414626
3	0	0.120067687414626	-0.120067687414626
4	0	0.120067687414626	-0.120067687414626
5	0	0.120067687414626	-0.120067687414626
6	0	0.40491114918799	-0.40491114918799
7	0	0.120067687414626	-0.120067687414626
8	1	0.120067687414626	0.879932312585374
9	0	0.144565993013198	-0.144565993013198
10	0	0.379287261097376	-0.379287261097376
11	1	0.379287261097377	0.620712738902623
12	0	0.120067687414626	-0.120067687414626
13	0	0.194994535189744	-0.194994535189744
14	1	0.379287261097377	0.620712738902623
15	0	0.219492840788315	-0.219492840788315
16	1	0.219492840788316	0.780507159211684
17	1	0.828966774130927	0.171033225869073
18	1	0.379287261097377	0.620712738902623
19	0	0.144565993013198	-0.144565993013198
20	1	0.594245506046748	0.405754493953252
21	0	0.380412843589419	-0.380412843589419
22	0	0.478712414471066	-0.478712414471066
23	0	0.14569157550524	-0.14569157550524
24	0	0.40491114918799	-0.40491114918799
25	1	0.218367258296273	0.781632741703727
26	0	0.194994535189744	-0.194994535189744
27	0	0.403785566695948	-0.403785566695948
28	0	0.193868952697702	-0.193868952697702
29	0	0.144565993013198	-0.144565993013198
30	0	0.121193269906668	-0.121193269906668
31	0	0.120067687414626	-0.120067687414626
32	0	0.379287261097376	-0.379287261097376
33	0	0.380412843589419	-0.380412843589419
34	1	0.144565993013198	0.855434006986802
35	0	0.120067687414626	-0.120067687414626
36	0	0.120067687414626	-0.120067687414626
37	1	0.454214108872494	0.545785891127506
38	0	0.218367258296273	-0.218367258296273
39	0	0.14569157550524	-0.14569157550524
40	1	0.121193269906668	0.878806730093332
41	0	0.594245506046748	-0.594245506046748
42	0	0.218367258296273	-0.218367258296273
43	0	0.40491114918799	-0.40491114918799
44	1	0.379287261097377	0.620712738902623
45	0	0.121193269906668	-0.121193269906668
46	0	0.14569157550524	-0.14569157550524
47	0	0.120067687414626	-0.120067687414626
48	0	0.144565993013198	-0.144565993013198
49	0	0.14569157550524	-0.14569157550524
50	0	0.120067687414626	-0.120067687414626
51	1	0.193868952697702	0.806131047302298
52	1	0.828966774130927	0.171033225869073
53	0	0.144565993013198	-0.144565993013198
54	0	0.568621617956134	-0.568621617956134
55	0	0.120067687414626	-0.120067687414626
56	1	0.218367258296273	0.781632741703727
57	0	0.219492840788315	-0.219492840788315
58	0	0.144565993013198	-0.144565993013198
59	0	0.144565993013198	-0.144565993013198
60	1	0.853465079729499	0.146534920270501
61	1	0.403785566695948	0.596214433304052
62	0	0.194994535189744	-0.194994535189744
63	0	0.120067687414626	-0.120067687414626
64	1	0.403785566695948	0.596214433304052
65	0	0.120067687414626	-0.120067687414626
66	0	0.120067687414626	-0.120067687414626
67	1	0.569747200448177	0.430252799551823
68	0	0.379287261097376	-0.379287261097376
69	0	0.144565993013198	-0.144565993013198
70	0	0.193868952697702	-0.193868952697702
71	0	0.120067687414626	-0.120067687414626
72	0	0.144565993013198	-0.144565993013198
73	0	0.218367258296273	-0.218367258296273
74	0	0.453088526380452	-0.453088526380452
75	0	0.144565993013198	-0.144565993013198
76	1	0.14569157550524	0.85430842449476
77	0	0.144565993013198	-0.144565993013198
78	0	0.219492840788315	-0.219492840788315
79	1	0.593119923554706	0.406880076445294
80	1	0.121193269906668	0.878806730093332
81	0	0.120067687414626	-0.120067687414626
82	0	0.477586831979024	-0.477586831979024
83	0	0.120067687414626	-0.120067687414626
84	0	0.568621617956134	-0.568621617956134
85	0	0.14569157550524	-0.14569157550524
86	0	0.379287261097376	-0.379287261097376

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
9	0.793361354476315	0.413277291047369	0.206638645523685
10	0.854919237016916	0.290161525966168	0.145080762983084
11	0.856435607816539	0.287128784366922	0.143564392183461
12	0.779994524803898	0.440010950392204	0.220005475196102
13	0.687046829203137	0.625906341593726	0.312953170796863
14	0.658968920553818	0.682062158892364	0.341031079446182
15	0.564741897674423	0.870516204651154	0.435258102325577
16	0.742885249863447	0.514229500273107	0.257114750136553
17	0.664499825596534	0.671000348806932	0.335500174403466
18	0.648468228111552	0.703063543776896	0.351531771888448
19	0.585425948932009	0.829148102135982	0.414574051067991
20	0.565643791183909	0.868712417632182	0.434356208816091
21	0.495644744113859	0.991289488227717	0.504355255886141
22	0.648147027522063	0.703705944955874	0.351852972477937
23	0.605465445928944	0.789069108142112	0.394534554071056
24	0.554622226264879	0.890755547470242	0.445377773735121
25	0.567546099835163	0.864907800329674	0.432453900164837
26	0.501548512363186	0.996902975273628	0.498451487636814
27	0.575348158035962	0.849303683928077	0.424651841964038
28	0.606847942646872	0.786304114706256	0.393152057353128
29	0.55381669764466	0.89236660471068	0.44618330235534
30	0.50309200651452	0.993815986970961	0.49690799348548
31	0.441827868497146	0.883655736994292	0.558172131502854
32	0.443563709389352	0.887127418778703	0.556436290610648
33	0.416366145216446	0.832732290432892	0.583633854783554
34	0.60428774378369	0.79142451243262	0.39571225621631
35	0.546115393396293	0.907769213207413	0.453884606603707
36	0.486300776740618	0.972601553481235	0.513699223259382
37	0.531465522380947	0.937068955238107	0.468534477619053
38	0.534799568467914	0.930400863064171	0.465200431532086
39	0.479500194121722	0.959000388243444	0.520499805878278
40	0.722343509243594	0.555312981512812	0.277656490756406
41	0.79346929248146	0.41306141503708	0.20653070751854
42	0.761898782311528	0.476202435376944	0.238101217688472
43	0.770882591488064	0.458234817023871	0.229117408511936
44	0.821454622266875	0.35709075546625	0.178545377733125
45	0.78127047150396	0.437459056992081	0.21872952849604
46	0.750826352185542	0.498347295628917	0.249173647814458
47	0.70064542101123	0.598709157977539	0.29935457898877
48	0.647078677085049	0.705842645829903	0.352921322914951
49	0.62084563319209	0.758308733615819	0.37915436680791
50	0.560705007173574	0.878589985652853	0.439294992826427
51	0.81576672140072	0.36846655719856	0.18423327859928
52	0.767244674659074	0.465510650681853	0.232755325340926
53	0.722373211523153	0.555253576953693	0.277626788476847
54	0.755037032579624	0.489925934840751	0.244962967420376
55	0.699219391752485	0.601561216495031	0.300780608247515
56	0.932301285717369	0.135397428565262	0.0676987142826311
57	0.915551663374221	0.168896673251559	0.0844483366257793
58	0.888280925717962	0.223438148564075	0.111719074282038
59	0.856170202755047	0.287659594489906	0.143829797244953
60	0.848586946757652	0.302826106484696	0.151413053242348
61	0.886032146821241	0.227935706357517	0.113967853178759
62	0.853686883246759	0.292626233506482	0.146313116753241
63	0.803306176402174	0.393387647195653	0.196693823597826
64	0.923827874554878	0.152344250890244	0.0761721254451219
65	0.888177799799406	0.223644400401187	0.111822200200594
66	0.840836471511043	0.318327056977914	0.159163528488957
67	0.796734094069539	0.406531811860922	0.203265905930461
68	0.74542871857397	0.509142562852061	0.25457128142603
69	0.66526256799805	0.669474864003901	0.33473743200195
70	0.602247416760993	0.795505166478013	0.397752583239007
71	0.501711199840948	0.996577600318104	0.498288800159052
72	0.400764946684801	0.801529893369602	0.599235053315199
73	0.336524587122636	0.673049174245271	0.663475412877364
74	0.280973156132467	0.561946312264934	0.719026843867533
75	0.188716040325877	0.377432080651754	0.811283959674123
76	0.200296290470666	0.400592580941332	0.799703709529334
77	0.111310216620476	0.222620433240952	0.888689783379524

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	0	0	OK