Multiple Linear Regression - Estimated Regression Equation

Perf[t] = + 19.7340138067534 + 0.0412068018674213`Sport `[t] -0.00609760335969976t + 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)	19.7340138067534	0.616293	32.0205	0	0
`Sport `	0.0412068018674213	0.044138	0.9336	0.352061	0.17603
t	-0.00609760335969976	0.006422	-0.9495	0.343921	0.171961

Multiple Linear Regression - Regression Statistics
Multiple R	0.105641315003316
R-squared	0.0111600874356298
Adjusted R-squared	-0.00238566479127944
F-TEST (value)	0.823880966422807
F-TEST (DF numerator)	2
F-TEST (DF denominator)	146
p-value	0.440754840001858
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.36177350359944
Sum Squared Residuals	1650.02207906748

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	18	20.346018231405	-2.34601823140502
2	15	19.7218186000340	-4.72181860003403
3	17	19.8393414022766	-2.8393414022766
4	21	19.7920369970495	1.20796300295052
5	22	19.8271461955572	2.1728538044428
6	24	20.1919098090043	3.80809019099571
7	17	19.8149509888378	-2.8149509888378
8	25	19.6852329798758	5.31476702012417
9	16	20.1736169989252	-4.17361699892519
10	18	20.2911398011678	-2.29113980116776
11	21	19.6669401697967	1.33305983020326
12	19	20.0729105851112	-1.07291058511125
13	18	20.4788810004258	-2.47888100042576
14	20	20.4727833970661	-0.472783397066062
15	25	19.7249633600928	5.27503663990722
16	28	19.7600725586005	8.2399274413995
17	19	20.2896633795173	-1.28966337951728
18	20	19.7890841537485	0.210915846251477
19	25	19.700572946654	5.29942705334602
20	20	19.7768889470291	0.223111052970877
21	21	19.6059641361997	1.39403586380026
22	21	19.5998665328400	1.40013346715996
23	23	20.2118709574917	2.78812904250834
24	19	19.9585325429274	-0.95853254292743
25	23	19.6227805246284	3.37721947537164
26	20	20.1935781474126	-0.193578147412559
27	19	19.7754125253786	-0.775412525378647
28	17	19.7281081201515	-2.72810812015153
29	19	20.1752853373335	-1.17528533733346
30	21	19.7159129134321	1.28408708656787
31	18	20.0394697250118	-2.03946972501180
32	18	19.6213041029779	-1.62130410297788
33	24	19.6976201033530	4.30237989664697
34	22	19.6091088962585	2.39089110374152
35	20	19.6854248966336	0.314575103366373
36	17	19.8441545007436	-2.84415450074361
37	25	20.7446065384672	4.25539346153282
38	24	19.7495456902894	4.25045430971063
39	18	19.7434480869297	-1.74344808692967
40	21	19.7785572854374	1.22144271456261
41	13	19.6488392764754	-6.64883927647543
42	21	20.1784300973922	0.821569902607795
43	21	19.6778508716234	1.32214912837655
44	16	19.4657192589266	-3.46571925892664
45	18	19.5832420611692	-1.58324206116921
46	19	19.6183512596769	-0.61835125967693
47	22	20.0655284768589	1.93447152314114
48	18	19.4413288454878	-1.44132884548785
49	18	19.7648856570675	-1.76488565706752
50	20	19.8412016574427	0.158798342557342
51	19	19.5878632428784	-0.587863242878431
52	18	19.4169384320490	-1.41693843204905
53	20	19.6580816398939	0.341918360106126
54	20	19.8580180458713	0.141981954128720
55	23	19.8107136406442	3.18928635935584
56	17	19.3925480186102	-2.39254801861025
57	17	19.3864504152505	-2.38645041525055
58	18	19.3803528118908	-1.38035281189085
59	22	19.3742552085311	2.62574479146885
60	16	19.3681576051714	-3.36815760517145
61	18	19.3620600018117	-1.36206000181175
62	14	19.3559623984520	-5.35596239845205
63	13	19.6383124081643	-6.6383124081643
64	21	19.5085943992023	1.49140560079767
65	25	19.832151210782	5.167848789218
66	16	19.5788127962178	-3.57881279621778
67	17	19.8199560040626	-2.81995600406260
68	22	19.7314447969681	2.26855520303194
69	24	19.6841403917409	4.31585960825906
70	18	19.3071815715744	-1.30718157157445
71	18	19.9603927980935	-1.96039279809349
72	18	19.3773999685899	-1.37739996858989
73	19	19.2888887614954	-0.288888761495351
74	15	19.2827911581357	-4.28279115813565
75	25	19.3179003566434	5.68209964335663
76	22	19.6826639700905	2.31733602990953
77	15	19.8413935742004	-4.84139357420045
78	21	19.7528823671059	1.24711763289409
79	16	19.7467847637462	-3.74678476374621
80	23	19.7406871603865	3.25931283961349
81	20	19.4461419439549	0.553858056045141
82	19	19.2340103312581	-0.234010331258053
83	20	19.3927399353680	0.607260064631961
84	18	19.3454355301409	-1.34543553014092
85	18	19.2157175211790	-1.21571752117895
86	20	19.3332403234215	0.666759676578482
87	20	19.2035223144596	0.796477685540446
88	16	19.6919063335089	-3.69190633350891
89	18	19.6858087301492	-1.68580873014921
90	18	19.8033315323918	-1.80333153239177
91	16	19.1791319010208	-3.17913190102076
92	23	19.5026887126004	3.49731128739957
93	14	19.4141775055059	-5.41417750550588
94	21	19.7377343170856	1.26226568291445
95	13	19.3607754969191	-6.36077549691906
96	27	19.5607119028965	7.43928809710353
97	20	19.8018551107413	0.198144889258703
98	22	19.3012758849725	2.69872411502746
99	21	19.1303510741432	1.86964892585684
100	19	19.4539078857228	-0.453907885722828
101	22	19.6126374898328	2.38736251016719
102	12	19.3592990752686	-7.35929907526859
103	28	19.2707878681740	8.72921213182596
104	21	19.9239990946931	1.07600090530692
105	18	19.0937654539850	-1.09376545398496
106	21	19.6233562749017	1.37664372509826
107	19	19.0815702472656	-0.0815702472655591
108	23	19.0754726439059	3.92452735609414
109	21	19.0693750405462	1.93062495945384
110	21	19.0632774371865	1.93672256281354
111	22	19.4692478525010	2.53075214749903
112	18	19.2983230416716	-1.29832304167159
113	15	19.7042934569861	-4.7042934569861
114	23	19.2861278349522	3.71387216504781
115	24	19.0327894203880	4.96721057961204
116	18	19.1915190244979	-1.19151902449795
117	15	19.3914554304754	-4.39145543047535
118	19	19.7150122420550	-0.715012242055023
119	17	19.5028806293582	-2.50288062935822
120	14	19.1259218091917	-5.12592180919173
121	16	19.3258582151691	-3.32585821516913
122	22	19.1137266024723	2.88627339752767
123	15	18.9840085935104	-3.98400859351036
124	23	19.3899790088249	3.61002099117512
125	24	19.0954337923932	4.90456620760677
126	24	18.9657157834313	5.03428421656874
127	20	19.2892725950109	0.710727404989066
128	9	18.9535205767119	-9.95352057671186
129	23	19.1122501808218	3.88774981917815
130	18	19.4770137942689	-1.47701379426894
131	20	19.4297093890418	0.57029061095818
132	25	19.5884389931518	5.4115610068482
133	17	19.7471685972618	-2.74716859726179
134	21	19.7410709939021	1.25892900609791
135	26	19.4877325793379	6.51226742066214
136	20	19.3992213722433	0.600778627756679
137	21	19.5167441744859	1.48325582551411
138	15	19.2634057599217	-4.26340575992166
139	20	19.0512741472249	0.948725852775148
140	20	19.2100037513348	0.789996248665163
141	16	18.8742517330358	-2.87425173303577
142	19	19.4038425539525	-0.403842553952544
143	22	18.8620565263164	3.13794347368363
144	17	19.7213017621725	-2.72130176217252
145	25	18.8498613195970	6.15013868040303
146	19	18.8849705181047	0.115029481895310
147	17	19.4969749427563	-2.49697494275631
148	21	19.3260501319269	1.67394986807308
149	12	18.907884509893	-6.90788450989301

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.0813066678291239	0.162613335658248	0.918693332170876
7	0.46289216076227	0.92578432152454	0.53710783923773
8	0.441397105408172	0.882794210816345	0.558602894591828
9	0.786501758806131	0.426996482387737	0.213498241193869
10	0.732192662516796	0.535614674966407	0.267807337483203
11	0.638864551562263	0.722270896875475	0.361135448437737
12	0.553673687142199	0.892652625715602	0.446326312857801
13	0.466892541503844	0.933785083007688	0.533107458496156
14	0.381382242408945	0.76276448481789	0.618617757591055
15	0.367221843615464	0.734443687230928	0.632778156384536
16	0.455763521159295	0.91152704231859	0.544236478840705
17	0.426499005718631	0.852998011437262	0.573500994281369
18	0.448277328150979	0.896554656301958	0.551722671849021
19	0.397752789090803	0.795505578181605	0.602247210909197
20	0.411073175930091	0.822146351860182	0.588926824069909
21	0.392278747678633	0.784557495357266	0.607721252321367
22	0.360911684863858	0.721823369727716	0.639088315136142
23	0.315419895518714	0.630839791037427	0.684580104481286
24	0.310264346969122	0.620528693938244	0.689735653030878
25	0.263544938303234	0.527089876606468	0.736455061696766
26	0.218803418037217	0.437606836074434	0.781196581962783
27	0.221415383046412	0.442830766092825	0.778584616953588
28	0.283831079311864	0.567662158623727	0.716168920688136
29	0.239653087467033	0.479306174934065	0.760346912532967
30	0.196696718946281	0.393393437892561	0.80330328105372
31	0.177312056990772	0.354624113981545	0.822687943009228
32	0.175947505554879	0.351895011109758	0.824052494445121
33	0.177928244848057	0.355856489696114	0.822071755151943
34	0.147378207043746	0.294756414087492	0.852621792956254
35	0.120591083920708	0.241182167841417	0.879408916079292
36	0.125019098294020	0.250038196588039	0.87498090170598
37	0.203509940733750	0.407019881467499	0.79649005926625
38	0.203571029506917	0.407142059013834	0.796428970493083
39	0.198903009318534	0.397806018637068	0.801096990681466
40	0.165150821497453	0.330301642994906	0.834849178502547
41	0.346964314816660	0.693928629633319	0.65303568518334
42	0.302059135977352	0.604118271954705	0.697940864022648
43	0.261417346468203	0.522834692936407	0.738582653531797
44	0.284001347472095	0.56800269494419	0.715998652527905
45	0.25333626316953	0.50667252633906	0.74666373683047
46	0.215003756843434	0.430007513686867	0.784996243156566
47	0.193879804829477	0.387759609658954	0.806120195170523
48	0.167914069959944	0.335828139919888	0.832085930040056
49	0.144359579025985	0.288719158051970	0.855640420974015
50	0.117422202088749	0.234844404177499	0.88257779791125
51	0.094480204024032	0.188960408048064	0.905519795975968
52	0.0775482616842252	0.155096523368450	0.922451738315775
53	0.0612297720224212	0.122459544044842	0.938770227977579
54	0.0475873413826082	0.0951746827652165	0.952412658617392
55	0.0493989202252736	0.0987978404505472	0.950601079774726
56	0.0431515600420855	0.086303120084171	0.956848439957914
57	0.0369036006352965	0.073807201270593	0.963096399364703
58	0.0286550421019723	0.0573100842039445	0.971344957898028
59	0.0273587144632939	0.0547174289265879	0.972641285536706
60	0.0262464631276883	0.0524929262553766	0.973753536872312
61	0.0200243638207713	0.0400487276415426	0.979975636179229
62	0.0281429024562453	0.0562858049124906	0.971857097543755
63	0.0514392932661093	0.102878586532219	0.94856070673389
64	0.0452354423506916	0.0904708847013832	0.954764557649308
65	0.0750976165110857	0.150195233022171	0.924902383488914
66	0.0720652623629047	0.144130524725809	0.927934737637095
67	0.0632542038322498	0.126508407664500	0.93674579616775
68	0.0598660402716328	0.119732080543266	0.940133959728367
69	0.0775545504411773	0.155109100882355	0.922445449558823
70	0.0625400349165219	0.125080069833044	0.937459965083478
71	0.0515073203203703	0.103014640640741	0.94849267967963
72	0.0408657402006225	0.081731480401245	0.959134259799377
73	0.031639793979056	0.063279587958112	0.968360206020944
74	0.0344073886215028	0.0688147772430056	0.965592611378497
75	0.0625956641472831	0.125191328294566	0.937404335852717
76	0.0578082094842742	0.115616418968548	0.942191790515726
77	0.0681760637580035	0.136352127516007	0.931823936241996
78	0.0572851083667474	0.114570216733495	0.942714891633253
79	0.0568688236800573	0.113737647360115	0.943131176319943
80	0.0595569375324891	0.119113875064978	0.94044306246751
81	0.0477066246281427	0.0954132492562853	0.952293375371857
82	0.0371307665640784	0.0742615331281569	0.962869233435922
83	0.0291248456595014	0.0582496913190028	0.970875154340499
84	0.0226771704302866	0.0453543408605733	0.977322829569713
85	0.0174386774946584	0.0348773549893168	0.982561322505342
86	0.0132775689242244	0.0265551378484487	0.986722431075776
87	0.0100566116516288	0.0201132233032576	0.989943388348371
88	0.0100334654062911	0.0200669308125822	0.989966534593709
89	0.00770503761784719	0.0154100752356944	0.992294962382153
90	0.00595094391513559	0.0119018878302712	0.994049056084864
91	0.005660624050025	0.01132124810005	0.994339375949975
92	0.00604493938334572	0.0120898787666914	0.993955060616654
93	0.00995779636927458	0.0199155927385492	0.990042203630725
94	0.00767826650655112	0.0153565330131022	0.992321733493449
95	0.0181063512359237	0.0362127024718474	0.981893648764076
96	0.0491500918537131	0.0983001837074262	0.950849908146287
97	0.0381616505899197	0.0763233011798393	0.96183834941008
98	0.0341188557422727	0.0682377114845453	0.965881144257727
99	0.0279240956191711	0.0558481912383422	0.972075904380829
100	0.0212458343524731	0.0424916687049463	0.978754165647527
101	0.0179548502724370	0.0359097005448739	0.982045149727563
102	0.053950248902692	0.107900497805384	0.946049751097308
103	0.158815198445543	0.317630396891086	0.841184801554457
104	0.132282727842871	0.264565455685743	0.867717272157129
105	0.111632355349783	0.223264710699567	0.888367644650217
106	0.0917543507227724	0.183508701445545	0.908245649277228
107	0.0730588225323481	0.146117645064696	0.926941177467652
108	0.0739673198193451	0.147934639638690	0.926032680180655
109	0.0609503499999745	0.121900699999949	0.939049650000025
110	0.05005239415528	0.10010478831056	0.94994760584472
111	0.0444545553553284	0.0889091107106568	0.955545444644672
112	0.0342832573296709	0.0685665146593418	0.96571674267033
113	0.0416858504375666	0.0833717008751331	0.958314149562433
114	0.0423074372237839	0.0846148744475678	0.957692562776216
115	0.059188907405616	0.118377814811232	0.940811092594384
116	0.0450925471098958	0.0901850942197916	0.954907452890104
117	0.0495959194817582	0.0991918389635165	0.950404080518242
118	0.0371713812180882	0.0743427624361765	0.962828618781912
119	0.0322061731332867	0.0644123462665735	0.967793826866713
120	0.0482843279871672	0.0965686559743344	0.951715672012833
121	0.0549748653031905	0.109949730606381	0.94502513469681
122	0.0445337125827382	0.0890674251654763	0.955466287417262
123	0.0618704116033677	0.123740823206735	0.938129588396632
124	0.0519099564389943	0.103819912877989	0.948090043561006
125	0.054451736612561	0.108903473225122	0.945548263387439
126	0.0681819738521	0.1363639477042	0.9318180261479
127	0.0496362458125791	0.0992724916251583	0.95036375418742
128	0.431921033602399	0.863842067204797	0.568078966397601
129	0.379785112281208	0.759570224562416	0.620214887718792
130	0.37717878379637	0.75435756759274	0.62282121620363
131	0.328155949354323	0.656311898708647	0.671844050645677
132	0.345407148156583	0.690814296313165	0.654592851843417
133	0.361782784716562	0.723565569433123	0.638217215283438
134	0.287992734192361	0.575985468384722	0.712007265807639
135	0.410456396075344	0.820912792150687	0.589543603924656
136	0.325556826645612	0.651113653291225	0.674443173354388
137	0.274934258083797	0.549868516167594	0.725065741916203
138	0.319242978727259	0.638485957454518	0.680757021272741
139	0.232438664446921	0.464877328893842	0.767561335553079
140	0.156246339329539	0.312492678659077	0.843753660670461
141	0.263824019985469	0.527648039970939	0.73617598001453
142	0.207174397351003	0.414348794702005	0.792825602648997
143	0.131563968469549	0.263127936939098	0.868436031530451

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	15	0.108695652173913	NOK
10% type I error level	45	0.326086956521739	NOK