Multiple Linear Regression - Estimated Regression Equation

Perf[t] = + 22.7825279552759 + 0.155112807490104`Sport `[t] -0.0208146540949294t + 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)	22.7825279552759	0.741305	30.733	0	0
`Sport `	0.155112807490104	0.053092	2.9216	0.004036	0.002018
t	-0.0208146540949294	0.007724	-2.6947	0.007872	0.003936

Multiple Linear Regression - Regression Statistics
Multiple R	0.302294182368804
R-squared	0.0913817726940237
Adjusted R-squared	0.0789349476624349
F-TEST (value)	7.3417737022981
F-TEST (DF numerator)	2
F-TEST (DF denominator)	146
p-value	0.000915894527868333
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	4.04369293085108
Sum Squared Residuals	2387.31206777619

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	25	25.0884054135325	-0.088405413532502
2	19	22.740898647086	-3.74089864708604
3	18	23.1854224154614	-5.18542241546142
4	24	23.0094949538764	0.990505046123614
5	18	23.1437931072716	-5.14379310727156
6	32	24.5189937205876	7.48100627941244
7	23	23.1021637990817	-0.102163799081701
8	23	22.6160107225165	0.383989277483539
9	23	24.4565497583028	-1.45654975830277
10	25	24.9010735266782	0.0989264733218449
11	24	22.5535667602317	1.44643323976833
12	22	24.0838801810378	-2.08388018103778
13	30	25.6141936018439	4.38580639815612
14	25	25.593378947749	-0.593378947748955
15	17	22.7805337588322	-5.78053375883216
16	30	22.9148319122273	7.08516808777266
17	25	24.9104837555038	0.0895162444962468
18	25	23.0283154115276	1.97168458847242
19	26	22.6972751424524	3.30272485754756
20	23	22.9866861033377	0.0133138966622778
21	19	22.3454202192824	-3.34542021928238
22	19	22.3246055651875	-3.32460556518745
23	35	24.6304830234441	10.3695169765559
24	21	23.6789915244085	-2.67899152440852
25	25	22.4172744103928	2.58272558960723
26	23	24.5680390611593	-1.56803906115928
27	20	22.9960963321633	-2.99609633216332
28	23	22.8201688705783	0.179831129421713
29	19	24.5055950988745	-5.5055950988745
30	24	22.7785395623884	1.22146043761157
31	17	23.9986273682143	-6.99862736821433
32	27	22.4266846392184	4.57331536078164
33	27	22.7160956001036	4.28390439989636
34	18	22.3850553310285	-4.3850553310285
35	24	22.6744662919138	1.32553370808622
36	22	23.2741028677793	-1.27410286777927
37	26	26.6657699784666	-0.665769978466615
38	23	22.9222479446092	0.0777520553907997
39	26	22.9014332905143	3.09856670948573
40	25	23.0357314439094	1.96426855609056
41	14	22.5495783673442	-8.5495783673442
42	20	24.5452302106206	-4.54523021062062
43	26	22.6630618666445	3.33693813335555
44	18	21.866683175099	-3.866683175099
45	22	22.3112069434744	-0.311206943474384
46	25	22.4455050968696	2.55449490313044
47	29	24.1309313251658	4.86906867483423
48	21	21.7834245587193	-0.783424558719285
49	25	23.0035123645452	1.99648763545482
50	24	23.2929233254305	0.707076674569538
51	22	22.3414318263949	-0.341431826394911
52	22	21.7001659423396	0.299834057660432
53	32	22.6100281331853	9.38997186681474
54	23	23.3647775165408	-0.364777516540848
55	31	23.1888500549558	7.81114994504419
56	18	21.6169073259599	-3.61690732595985
57	23	21.5960926718649	1.40390732813508
58	19	21.57527801777	-2.57527801776999
59	26	21.5544633636751	4.44553663632494
60	14	21.5336487095801	-7.53364870958013
61	27	21.5128340554852	5.4871659445148
62	20	21.4920194013903	-1.49201940139027
63	22	22.5569943997261	-0.556994399726069
64	24	22.0708413231608	1.92915867683917
65	32	23.2909291289867	8.70907087101327
66	25	22.3394376299512	2.66056237004882
67	21	23.2492998207969	-2.24929982079687
68	21	22.9182595517217	-1.91825955172173
69	28	22.7423320901367	5.2576679098633
70	24	21.3255021686308	2.67449783136916
71	23	23.7864924343776	-0.786492434377566
72	24	21.5940984754212	2.40590152457881
73	21	21.263058206346	-0.26305820634605
74	13	21.2422435522511	-8.24224355225112
75	21	21.3765417056463	-0.376541705646295
76	17	22.7517423189623	-5.7517423189623
77	29	23.3513788948278	5.64862110517222
78	25	23.0203386257526	1.97966137424735
79	16	22.9995239716577	-6.99952397165772
80	25	22.9787093175628	2.02129068243721
81	20	21.8721050110371	-1.87210501103713
82	25	21.0757263194917	3.92427368050831
83	21	21.6753628953572	-0.67536289535717
84	23	21.4994354337721	1.50056456622786
85	21	21.0132823572069	-0.0132823572068975
86	26	21.4578061255823	4.54219387441772
87	19	20.971653049017	-1.97165304901704
88	20	22.8121920848034	-2.81219208480335
89	21	22.7913774307084	-1.79137743070842
90	19	23.2359011990838	-4.2359011990838
91	14	20.8883944326373	-6.88839443263732
92	22	22.1084822384632	-0.10848223846322
93	14	21.7774419693881	-7.77744196938808
94	20	22.997529775214	-2.99752977521398
95	19	21.5806998537081	-2.58069985370812
96	29	22.3354492370637	6.66455076293629
97	25	23.2453114279094	1.7546885720906
98	21	21.3631430839332	-0.36314308393323
99	22	20.7218771998779	1.27812280012211
100	15	21.9419650057038	-6.94196500570378
101	22	22.5416015815693	-0.54160158156927
102	19	21.5901100825337	-2.59011008253372
103	28	21.2590698134586	6.74093018654142
104	25	23.7200600792053	1.27993992079469
105	17	20.5969892753083	-3.59698927530831
106	21	22.5926411185847	-1.59264111858473
107	19	20.5553599671185	-1.55535996711845
108	27	20.5345453130235	6.46545468697648
109	29	20.5137306589286	8.48626934107141
110	22	20.4929160048337	1.50708399516634
111	19	22.0232294256398	-3.02322942563977
112	20	21.3819635415844	-1.38196354158442
113	16	22.9122769623905	-6.91227696239053
114	24	21.3403342333946	2.65966576660543
115	17	20.388842734359	-3.38884273435902
116	21	20.9884793102245	0.0115206897754997
117	22	21.7432286935801	0.256771306419911
118	26	22.963316499406	3.03668350059401
119	17	22.1669378078605	-5.16693780786054
120	17	20.7501078863547	-3.75010788635468
121	19	21.5048572697103	-2.50485726971027
122	19	20.7084785781648	-1.70847857816482
123	17	20.2223255015996	-3.22232550159958
124	27	21.7526389224057	5.24736107759431
125	25	20.64603461588	4.35396538411997
126	19	20.1598815393148	-1.15988153931479
127	16	21.3799693451407	-5.37996934514069
128	15	20.1182522311249	-5.11825223112493
129	24	20.7178888069904	3.28211119300958
130	15	22.0930894203064	-7.09308942030642
131	20	21.9171619587214	-1.91716195872139
132	29	22.5167985345869	6.48320146541313
133	19	23.1164351104524	-4.11643511045236
134	29	23.0956204563574	5.90437954364257
135	24	22.1441289573219	1.85587104267812
136	24	21.8130886882467	2.18691131175326
137	21	22.2576124566221	-1.25761245662212
138	23	21.3061209575866	1.69387904241343
139	23	20.5097422660411	2.49025773395888
140	22	21.1093788419066	0.890621158093391
141	26	19.8476617278909	6.15233827210915
142	22	21.8433135711673	0.156686428832732
143	29	19.806032419701	9.193967580299
144	21	23.0425867228982	-2.04258672289824
145	22	19.7644031115111	2.23559688848887
146	20	19.8987012649063	0.101298735093692
147	21	22.2045787231629	-1.20457872316293
148	18	21.5633128391076	-3.56331283910759
149	18	19.9913701101116	-1.99137011011162

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
6	0.582800650929598	0.834398698140803	0.417199349070402
7	0.435545111644209	0.871090223288418	0.564454888355791
8	0.292289429760681	0.584578859521361	0.70771057023932
9	0.493654642593705	0.98730928518741	0.506345357406295
10	0.434722517323475	0.86944503464695	0.565277482676525
11	0.347813149569214	0.695626299138427	0.652186850430786
12	0.332628354246124	0.665256708492247	0.667371645753876
13	0.259540213821724	0.519080427643447	0.740459786178276
14	0.243576471730367	0.487152943460734	0.756423528269633
15	0.275444807559356	0.550889615118712	0.724555192440644
16	0.503182555487424	0.993634889025152	0.496817444512576
17	0.440691486121247	0.881382972242494	0.559308513878753
18	0.369548883785815	0.73909776757163	0.630451116214185
19	0.319177953731718	0.638355907463435	0.680822046268282
20	0.263805465456964	0.527610930913927	0.736194534543036
21	0.268306545417032	0.536613090834064	0.731693454582968
22	0.252061315341955	0.50412263068391	0.747938684658045
23	0.446492639963492	0.892985279926984	0.553507360036508
24	0.471524968965059	0.943049937930118	0.528475031034941
25	0.423457851157494	0.846915702314988	0.576542148842506
26	0.433527700356305	0.86705540071261	0.566472299643695
27	0.422044140669184	0.844088281338368	0.577955859330816
28	0.360493286526759	0.720986573053519	0.639506713473241
29	0.474680000463561	0.949360000927121	0.525319999536439
30	0.421599561313652	0.843199122627305	0.578400438686348
31	0.549418726707546	0.901162546584908	0.450581273292454
32	0.584590625112495	0.830818749775009	0.415409374887505
33	0.588323322009657	0.823353355980685	0.411676677990343
34	0.593457527685261	0.813084944629478	0.406542472314739
35	0.543707020892855	0.91258595821429	0.456292979107145
36	0.493847671631311	0.987695343262622	0.506152328368689
37	0.44763987536186	0.895279750723719	0.55236012463814
38	0.393095751903737	0.786191503807473	0.606904248096263
39	0.370881917580491	0.741763835160982	0.629118082419509
40	0.329309894281172	0.658619788562344	0.670690105718828
41	0.504365711423514	0.991268577152973	0.495634288576486
42	0.51530454802614	0.96939090394772	0.48469545197386
43	0.507923562289059	0.984152875421883	0.492076437710941
44	0.492049002750244	0.984098005500488	0.507950997249756
45	0.441549175559515	0.88309835111903	0.558450824440485
46	0.417828873425481	0.835657746850962	0.582171126574519
47	0.435764965615552	0.871529931231105	0.564235034384448
48	0.387214490047403	0.774428980094806	0.612785509952597
49	0.349397330091659	0.698794660183319	0.65060266990834
50	0.303931527158761	0.607863054317522	0.696068472841239
51	0.261332609793451	0.522665219586901	0.738667390206549
52	0.222334973646272	0.444669947292544	0.777665026353728
53	0.398632015834575	0.79726403166915	0.601367984165425
54	0.354790897178209	0.709581794356418	0.645209102821791
55	0.45911308446471	0.91822616892942	0.54088691553529
56	0.458404241820977	0.916808483641953	0.541595758179024
57	0.413474613025886	0.826949226051772	0.586525386974114
58	0.390160761781752	0.780321523563504	0.609839238218248
59	0.391798478674314	0.783596957348629	0.608201521325686
60	0.521273988775641	0.957452022448717	0.478726011224359
61	0.552710437738966	0.894579124522068	0.447289562261034
62	0.513946405298536	0.972107189402928	0.486053594701464
63	0.469698853144491	0.939397706288982	0.530301146855509
64	0.429825412391562	0.859650824783124	0.570174587608438
65	0.578669041025091	0.842661917949819	0.421330958974909
66	0.549667409156033	0.900665181687934	0.450332590843967
67	0.531975407665779	0.936049184668442	0.468024592334221
68	0.504302901092716	0.991394197814568	0.495697098907284
69	0.534303120150229	0.931393759699543	0.465696879849772
70	0.507761363398959	0.984477273202082	0.492238636601041
71	0.475963118120844	0.951926236241688	0.524036881879156
72	0.448107593760381	0.896215187520762	0.551892406239619
73	0.404782204611822	0.809564409223643	0.595217795388178
74	0.555308726641486	0.889382546717027	0.444691273358514
75	0.50926528602701	0.98146942794598	0.49073471397299
76	0.558595160393434	0.882809679213132	0.441404839606566
77	0.61514671415425	0.7697065716915	0.38485328584575
78	0.591335822328223	0.817328355343553	0.408664177671777
79	0.672097426942138	0.655805146115725	0.327902573057862
80	0.64962183083088	0.70075633833824	0.35037816916912
81	0.612020713069854	0.775958573860292	0.387979286930146
82	0.616771424583022	0.766457150833956	0.383228575416978
83	0.572239609643519	0.855520780712963	0.427760390356481
84	0.537383924647147	0.925232150705706	0.462616075352853
85	0.490888574561567	0.981777149123135	0.509111425438433
86	0.522110791778125	0.95577841644375	0.477889208221875
87	0.481764955069025	0.96352991013805	0.518235044930975
88	0.452937895427056	0.905875790854112	0.547062104572944
89	0.413858026498772	0.827716052997544	0.586141973501228
90	0.403853096495924	0.807706192991847	0.596146903504077
91	0.475296520452863	0.950593040905726	0.524703479547137
92	0.428495463945716	0.856990927891433	0.571504536054284
93	0.536464374469229	0.927071251061542	0.463535625530771
94	0.50422906394473	0.99154187211054	0.49577093605527
95	0.471376372887438	0.942752745774877	0.528623627112562
96	0.575641785378096	0.848716429243809	0.424358214621904
97	0.552077330160464	0.895845339679072	0.447922669839536
98	0.502046890793035	0.99590621841393	0.497953109206965
99	0.45913600468953	0.918272009379059	0.54086399531047
100	0.532381184446461	0.935237631107078	0.467618815553539
101	0.481760915525998	0.963521831051996	0.518239084474002
102	0.447124805089283	0.894249610178565	0.552875194910717
103	0.548032484170709	0.903935031658583	0.451967515829291
104	0.525396957770364	0.949206084459272	0.474603042229636
105	0.511245807834967	0.977508384330066	0.488754192165033
106	0.460704724279425	0.92140944855885	0.539295275720575
107	0.4179132718045	0.835826543608999	0.5820867281955
108	0.49907071540775	0.998141430815501	0.50092928459225
109	0.707547785819024	0.584904428361952	0.292452214180976
110	0.679132097001469	0.641735805997062	0.320867902998531
111	0.637699451051364	0.724601097897271	0.362300548948636
112	0.5854714092593	0.8290571814814	0.4145285907407
113	0.632649071130558	0.734701857738884	0.367350928869442
114	0.62325205398005	0.7534958920399	0.37674794601995
115	0.590849845411968	0.818300309176064	0.409150154588032
116	0.535556232274923	0.928887535450154	0.464443767725077
117	0.482914398236815	0.965828796473631	0.517085601763185
118	0.505468799268897	0.989062401462206	0.494531200731103
119	0.495556878153298	0.991113756306595	0.504443121846702
120	0.471393502615334	0.942787005230667	0.528606497384666
121	0.424033280015323	0.848066560030645	0.575966719984677
122	0.374539996926254	0.749079993852507	0.625460003073746
123	0.371582302423815	0.74316460484763	0.628417697576185
124	0.412324247411587	0.824648494823173	0.587675752588414
125	0.420132344283496	0.840264688566993	0.579867655716504
126	0.361226578114273	0.722453156228545	0.638773421885727
127	0.408394501952069	0.816789003904137	0.591605498047931
128	0.603466120619809	0.793067758760383	0.396533879380191
129	0.539446201982315	0.92110759603537	0.460553798017685
130	0.850822884232981	0.298354231534038	0.149177115767019
131	0.919345669959572	0.161308660080857	0.0806543300404284
132	0.927654248152434	0.144691503695131	0.0723457518475656
133	0.968985891141818	0.0620282177163634	0.0310141088581817
134	0.98598339727929	0.0280332054414199	0.0140166027207099
135	0.973909745403927	0.0521805091921459	0.0260902545960729
136	0.953392044500688	0.0932159109986231	0.0466079554993116
137	0.942161201637988	0.115677596724025	0.0578387983620123
138	0.914957071215785	0.17008585756843	0.085042928784215
139	0.9004233350777	0.1991533298446	0.0995766649222998
140	0.923228011153624	0.153543977692751	0.0767719888463756
141	0.86680337899195	0.266393242016102	0.133196621008051
142	0.869949716382436	0.260100567235128	0.130050283617564
143	0.96917641571917	0.0616471685616589	0.0308235842808294

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	1	0.0072463768115942	OK
10% type I error level	5	0.036231884057971	OK