Multiple Linear Regression - Estimated Regression Equation

Perf[t] = + 19.2989199323664 + 0.0380163102865228`Sport `[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)	19.2989199323664	0.41199	46.8431	0	0
`Sport `	0.0380163102865228	0.043996	0.8641	0.388944	0.194472

Multiple Linear Regression - Regression Statistics
Multiple R	0.0710889771773798
R-squared	0.00505364267612603
Adjusted R-squared	-0.00171469989070294
F-TEST (value)	0.746658820269144
F-TEST (DF numerator)	1
F-TEST (DF denominator)	147
p-value	0.388943910291832
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation	3.36064818342967
Sum Squared Residuals	1660.21156328

Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or Index	Actuals	Interpolation Forecast	Residuals Prediction Error
1	18	19.8691645866642	-1.86916458666418
2	15	19.2989199323664	-4.29891993236637
3	17	19.4129688632259	-2.41296886322594
4	21	19.3749525529394	1.62504744706058
5	22	19.4129688632259	2.58703113677406
6	24	19.7551156558046	4.24488434419535
7	17	19.4129688632259	-2.41296886322594
8	25	19.2989199323664	5.70108006763363
9	16	19.7551156558046	-3.75511565580464
10	18	19.8691645866642	-1.86916458666421
11	21	19.2989199323664	1.70108006763363
12	19	19.6790830352316	-0.6790830352316
13	18	20.0592461380968	-2.05924613809683
14	20	20.0592461380968	-0.0592461380968274
15	25	19.3749525529394	5.62504744706058
16	28	19.4129688632259	8.58703113677406
17	19	19.9071808969507	-0.907180896950736
18	20	19.4509851735125	0.549014826487537
19	25	19.3749525529394	5.62504744706058
20	20	19.4509851735125	0.549014826487537
21	21	19.2989199323664	1.70108006763363
22	21	19.2989199323664	1.70108006763363
23	23	19.8691645866642	3.13083541333579
24	19	19.6410667249451	-0.641066724945077
25	23	19.3369362426529	3.66306375734711
26	20	19.8691645866642	0.130835413335786
27	19	19.489001483799	-0.489001483798986
28	17	19.4509851735125	-2.45098517351246
29	19	19.8691645866642	-0.869164586664213
30	21	19.4509851735125	1.54901482648754
31	18	19.7551156558046	-1.75511565580465
32	18	19.3749525529394	-1.37495255293942
33	24	19.4509851735125	4.54901482648754
34	22	19.3749525529394	2.62504744706058
35	20	19.4509851735125	0.549014826487537
36	17	19.6030504146586	-2.60305041465855
37	25	20.4394092409621	4.56059075903794
38	24	19.5270177940855	4.47298220591449
39	18	19.5270177940855	-1.52701779408551
40	21	19.565034104372	1.43496589562797
41	13	19.4509851735125	-6.45098517351246
42	21	19.9451972072373	1.05480279276274
43	21	19.489001483799	1.51099851620101
44	16	19.2989199323664	-3.29891993236637
45	18	19.4129688632259	-1.41296886322594
46	19	19.4509851735125	-0.450985173512463
47	22	19.8691645866642	2.13083541333579
48	18	19.2989199323664	-1.29891993236637
49	18	19.6030504146586	-1.60305041465855
50	20	19.6790830352316	0.3209169647684
51	19	19.4509851735125	-0.450985173512463
52	18	19.2989199323664	-1.29891993236637
53	20	19.5270177940855	0.472982205914491
54	20	19.7170993455181	0.282900654481878
55	23	19.6790830352316	3.3209169647684
56	17	19.2989199323664	-2.29891993236637
57	17	19.2989199323664	-2.29891993236637
58	18	19.2989199323664	-1.29891993236637
59	22	19.2989199323664	2.70108006763363
60	16	19.2989199323664	-3.29891993236637
61	18	19.2989199323664	-1.29891993236637
62	14	19.2989199323664	-5.29891993236637
63	13	19.565034104372	-6.56503410437203
64	21	19.4509851735125	1.54901482648754
65	25	19.7551156558046	5.24488434419535
66	16	19.5270177940855	-3.52701779408551
67	17	19.7551156558046	-2.75511565580464
68	22	19.6790830352316	2.3209169647684
69	24	19.6410667249451	4.35893327505492
70	18	19.2989199323664	-1.29891993236637
71	18	19.9071808969507	-1.90718089695074
72	18	19.3749525529394	-1.37495255293942
73	19	19.2989199323664	-0.298919932366372
74	15	19.2989199323664	-4.29891993236637
75	25	19.3369362426529	5.6630637573471
76	22	19.6790830352316	2.3209169647684
77	15	19.8311482763777	-4.83114827637769
78	21	19.7551156558046	1.24488434419535
79	16	19.7551156558046	-3.75511565580464
80	23	19.7551156558046	3.24488434419536
81	20	19.489001483799	0.510998516201014
82	19	19.2989199323664	-0.298919932366372
83	20	19.4509851735125	0.549014826487537
84	18	19.4129688632259	-1.41296886322594
85	18	19.2989199323664	-1.29891993236637
86	20	19.4129688632259	0.58703113677406
87	20	19.2989199323664	0.701080067633628
88	16	19.7551156558046	-3.75511565580464
89	18	19.7551156558046	-1.75511565580465
90	18	19.8691645866642	-1.86916458666421
91	16	19.2989199323664	-3.29891993236637
92	23	19.6030504146586	3.39694958534145
93	14	19.5270177940855	-5.52701779408551
94	21	19.8311482763777	1.16885172362231
95	13	19.489001483799	-6.48900148379899
96	27	19.6790830352316	7.3209169647684
97	20	19.9071808969507	0.0928191030492637
98	22	19.4509851735125	2.54901482648754
99	21	19.2989199323664	1.70108006763363
100	19	19.6030504146586	-0.603050414658554
101	22	19.7551156558046	2.24488434419536
102	12	19.5270177940855	-7.52701779408551
103	28	19.4509851735125	8.54901482648754
104	21	20.0592461380968	0.940753861903173
105	18	19.2989199323664	-1.29891993236637
106	21	19.7931319660912	1.20686803390883
107	19	19.2989199323664	-0.298919932366372
108	23	19.2989199323664	3.70108006763363
109	21	19.2989199323664	1.70108006763363
110	21	19.2989199323664	1.70108006763363
111	22	19.6790830352316	2.3209169647684
112	18	19.5270177940855	-1.52701779408551
113	15	19.9071808969507	-4.90718089695074
114	23	19.5270177940855	3.47298220591449
115	24	19.2989199323664	4.70108006763363
116	18	19.4509851735125	-1.45098517351246
117	15	19.6410667249451	-4.64106672494508
118	19	19.9451972072373	-0.94519720723726
119	17	19.7551156558046	-2.75511565580464
120	14	19.4129688632259	-5.41296886322594
121	16	19.6030504146586	-3.60305041465855
122	22	19.4129688632259	2.58703113677406
123	15	19.2989199323664	-4.29891993236637
124	23	19.6790830352316	3.3209169647684
125	24	19.4129688632259	4.58703113677406
126	24	19.2989199323664	4.70108006763363
127	20	19.6030504146586	0.396949585341446
128	9	19.2989199323664	-10.2989199323664
129	23	19.4509851735125	3.54901482648754
130	18	19.7931319660912	-1.79313196609117
131	20	19.7551156558046	0.244884344195355
132	25	19.9071808969507	5.09281910304926
133	17	20.0592461380968	-3.05924613809683
134	21	20.0592461380968	0.940753861903173
135	26	19.8311482763777	6.16885172362231
136	20	19.7551156558046	0.244884344195355
137	21	19.8691645866642	1.13083541333579
138	15	19.6410667249451	-4.64106672494508
139	20	19.4509851735125	0.549014826487537
140	20	19.6030504146586	0.396949585341446
141	16	19.2989199323664	-3.29891993236637
142	19	19.7931319660912	-0.793131966091168
143	22	19.2989199323664	2.70108006763363
144	17	20.0972624483834	-3.09726244838335
145	25	19.2989199323664	5.70108006763363
146	19	19.3369362426529	-0.336936242652895
147	17	19.9071808969507	-2.90718089695074
148	21	19.7551156558046	1.24488434419535
149	12	19.3749525529394	-7.37495255293942

Goldfeld-Quandt test for Heteroskedasticity
p-values	Alternative Hypothesis
breakpoint index	greater	2-sided	less
5	0.590260185206526	0.819479629586949	0.409739814793474
6	0.65184806096759	0.69630387806482	0.34815193903241
7	0.550327600018094	0.899344799963813	0.449672399981906
8	0.765996147797529	0.468007704404943	0.234003852202471
9	0.764717993780674	0.470564012438651	0.235282006219326
10	0.682091064475396	0.635817871049208	0.317908935524604
11	0.597617372563207	0.804765254873585	0.402382627436792
12	0.50130525279526	0.99738949440948	0.49869474720474
13	0.410596895564458	0.821193791128916	0.589403104435542
14	0.34361690414518	0.68723380829036	0.65638309585482
15	0.452966564533974	0.905933129067949	0.547033435466026
16	0.746054286954419	0.507891426091163	0.253945713045581
17	0.68061427164183	0.63877145671634	0.31938572835817
18	0.613028136805587	0.773943726388826	0.386971863194413
19	0.644901101498239	0.710197797003523	0.355098898501761
20	0.580933060460789	0.838133879078421	0.419066939539211
21	0.515698659765644	0.968602680468711	0.484301340234356
22	0.451038686197894	0.902077372395788	0.548961313802106
23	0.46252033405257	0.92504066810514	0.53747966594743
24	0.404891447054457	0.809782894108913	0.595108552945543
25	0.36896992979497	0.737939859589941	0.63103007020503
26	0.310214511827951	0.620429023655902	0.689785488172049
27	0.27018583418361	0.54037166836722	0.72981416581639
28	0.284973753334437	0.569947506668875	0.715026246665563
29	0.23541134352849	0.47082268705698	0.76458865647151
30	0.192713842783397	0.385427685566795	0.807286157216603
31	0.164366694220954	0.328733388441907	0.835633305779046
32	0.154349008893138	0.308698017786275	0.845650991106862
33	0.165810882256699	0.331621764513398	0.834189117743301
34	0.139424089251765	0.27884817850353	0.860575910748235
35	0.111119971573102	0.222239943146204	0.888880028426898
36	0.109665306202712	0.219330612405423	0.890334693797288
37	0.20015428188087	0.40030856376174	0.79984571811913
38	0.215127224670129	0.430254449340259	0.78487277532987
39	0.195750862966799	0.391501725933598	0.804249137033201
40	0.162665233764147	0.325330467528294	0.837334766235853
41	0.322584273949821	0.645168547899641	0.677415726050179
42	0.279948048440255	0.55989609688051	0.720051951559745
43	0.241165239217453	0.482330478434906	0.758834760782547
44	0.262770679895494	0.525541359790989	0.737229320104506
45	0.235979201684364	0.471958403368728	0.764020798315636
46	0.200909507744901	0.401819015489801	0.7990904922551
47	0.178056633848766	0.356113267697532	0.821943366151234
48	0.155996164719829	0.311992329439659	0.84400383528017
49	0.136840265767589	0.273680531535179	0.86315973423241
50	0.110853891979101	0.221707783958201	0.8891461080209
51	0.0900594617704655	0.180118923540931	0.909940538229534
52	0.076067317337069	0.152134634674138	0.923932682662931
53	0.0597193211810432	0.119438642362086	0.940280678818957
54	0.0462218169243002	0.0924436338486005	0.9537781830757
55	0.0451626550815649	0.0903253101631298	0.954837344918435
56	0.0413241605771379	0.0826483211542758	0.958675839422862
57	0.0373590895853185	0.0747181791706371	0.962640910414681
58	0.0301087473623743	0.0602174947247486	0.969891252637626
59	0.0269340748656444	0.0538681497312888	0.973065925134356
60	0.0281365371554907	0.0562730743109814	0.97186346284451
61	0.0223445790823518	0.0446891581647037	0.977655420917648
62	0.0360574673992816	0.0721149347985632	0.963942532600718
63	0.0772078987340543	0.154415797468109	0.922792101265946
64	0.0642708544664525	0.128541708932905	0.935729145533547
65	0.0876702234612797	0.175340446922559	0.91232977653872
66	0.0910533053847074	0.182106610769415	0.908946694615293
67	0.0862786101654347	0.172557220330869	0.913721389834565
68	0.0764112539407481	0.152822507881496	0.923588746059252
69	0.0880051721553457	0.176010344310691	0.911994827844654
70	0.0729083543542121	0.145816708708424	0.927091645645788
71	0.0635119200098591	0.127023840019718	0.936488079990141
72	0.0521444381095224	0.104288876219045	0.947855561890478
73	0.0407317695952468	0.0814635391904936	0.959268230404753
74	0.047883553948943	0.095767107897886	0.952116446051057
75	0.0741427367054375	0.148285473410875	0.925857263294563
76	0.0655271606569692	0.131054321313938	0.934472839343031
77	0.0843487343441313	0.168697468688263	0.915651265655869
78	0.0695754277451849	0.13915085549037	0.930424572254815
79	0.0737496750964304	0.147499350192861	0.92625032490357
80	0.0723195494788116	0.144639098957623	0.927680450521188
81	0.0577131086476518	0.115426217295304	0.942286891352348
82	0.0453538490336229	0.0907076980672457	0.954646150966377
83	0.0353884567445423	0.0707769134890847	0.964611543255458
84	0.0284102725633942	0.0568205451267883	0.971589727436606
85	0.022439635823733	0.0448792716474661	0.977560364176267
86	0.0169636991587062	0.0339273983174124	0.983036300841294
87	0.0127224685491631	0.0254449370983261	0.987277531450837
88	0.013653232464912	0.027306464929824	0.986346767535088
89	0.0108886191291813	0.0217772382583625	0.989111380870819
90	0.0087140681549197	0.0174281363098394	0.99128593184508
91	0.00855908254793839	0.0171181650958768	0.991440917452062
92	0.00850371252396118	0.0170074250479224	0.991496287476039
93	0.0141603710390444	0.0283207420780887	0.985839628960956
94	0.010757141192416	0.021514282384832	0.989242858807584
95	0.023679888044048	0.047359776088096	0.976320111955952
96	0.0593901776370262	0.118780355274052	0.940609822362974
97	0.0464144042658301	0.0928288085316603	0.95358559573417
98	0.0409681877728945	0.081936375545789	0.959031812227106
99	0.033220979378673	0.066441958757346	0.966779020621327
100	0.0252957629476183	0.0505915258952365	0.974704237052382
101	0.0214969341701795	0.042993868340359	0.97850306582982
102	0.0591703436034845	0.118340687206969	0.940829656396516
103	0.174887810942722	0.349775621885443	0.825112189057278
104	0.14809689464305	0.2961937892861	0.85190310535695
105	0.124833675988709	0.249667351977417	0.875166324011291
106	0.104195921047811	0.208391842095623	0.895804078952189
107	0.0830968305216342	0.166193661043268	0.916903169478366
108	0.084348345320636	0.168696690641272	0.915651654679364
109	0.0698810896657802	0.13976217933156	0.93011891033422
110	0.0575778405649838	0.115155681129968	0.942422159435016
111	0.0506251724967783	0.101250344993557	0.949374827503222
112	0.0398848244163586	0.0797696488327173	0.960115175583641
113	0.0492027941281099	0.0984055882562198	0.95079720587189
114	0.0499315981440894	0.0998631962881788	0.95006840185591
115	0.0661222967229797	0.132244593445959	0.93387770327702
116	0.0515325077255818	0.103065015451164	0.948467492274418
117	0.0595598226053504	0.119119645210701	0.94044017739465
118	0.04543313373955	0.0908662674791	0.95456686626045
119	0.0395509349103746	0.0791018698207493	0.960449065089625
120	0.0547471964193716	0.109494392838743	0.945252803580628
121	0.0545404440849071	0.109080888169814	0.945459555915093
122	0.0474345108800423	0.0948690217600846	0.952565489119958
123	0.0529794975712117	0.105958995142423	0.947020502428788
124	0.0498434585811195	0.099686917162239	0.95015654141888
125	0.061231651211612	0.122463302423224	0.938768348788388
126	0.0848189655005478	0.169637931001096	0.915181034499452
127	0.0633759328568055	0.126751865713611	0.936624067143195
128	0.347806091841439	0.695612183682878	0.652193908158561
129	0.349004917260878	0.698009834521755	0.650995082739122
130	0.299640786135952	0.599281572271905	0.700359213864048
131	0.239561011096779	0.479122022193558	0.760438988903221
132	0.321957119244175	0.64391423848835	0.678042880755825
133	0.291709031672218	0.583418063344436	0.708290968327782
134	0.234876578905688	0.469753157811376	0.765123421094312
135	0.452017947530171	0.904035895060342	0.547982052469829
136	0.378765302292335	0.75753060458467	0.621234697707665
137	0.347066034549873	0.694132069099745	0.652933965450127
138	0.355353924161403	0.710707848322806	0.644646075838597
139	0.2716789870747	0.543357974149401	0.7283210129253
140	0.200656192883116	0.401312385766233	0.799343807116884
141	0.194859749798902	0.389719499597805	0.805140250201098
142	0.12505527864359	0.250110557287181	0.87494472135641
143	0.0858483044446017	0.171696608889203	0.914151695555398
144	0.0436422486770012	0.0872844973540023	0.956357751322999

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	13	0.0928571428571429	NOK
10% type I error level	38	0.271428571428571	NOK