Multiple Linear Regression - Estimated Regression Equation
best[t] = + 1.22151640213814 + 0.231803248360643standards[t] + 0.0583245373239288performance[t] + 0.467278936963013excellence[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.221516402138140.2849864.28623.2e-051.6e-05
standards0.2318032483606430.0880292.63330.0093140.004657
performance0.05832453732392880.1092040.53410.5940460.297023
excellence0.4672789369630130.1027734.54671.1e-055e-06


Multiple Linear Regression - Regression Statistics
Multiple R0.536873098061071
R-squared0.288232723421692
Adjusted R-squared0.274456582584693
F-TEST (value)20.9226028415423
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value1.95858884666222e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.963925850954448
Sum Squared Residuals144.018722151430


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
142.678005310109391.32199468989061
212.21072637314639-1.21072637314639
354.134494218080620.86550578191938
432.678005310109390.321994689890611
532.968133095793960.0318669042060444
633.14161180683067-0.141611806830668
723.02645763311788-1.02645763311788
832.909808558470030.0901914415299734
942.442529621507011.55747037849299
1043.612563184035410.387436815964589
1143.19993634415460.800063655845403
1223.78386435576547-1.78386435576547
1322.96813309579396-0.968133095793956
1422.90980855847003-0.909808558470027
1542.674332869867661.32566713013234
1643.725539818441540.274460181558461
1732.500854158830940.499145841169057
1822.96813309579396-0.968133095793956
1953.961015507043911.03898449295609
2044.19281875540455-0.192818755404552
2133.1452842470724-0.145284247072398
2243.431739592515240.568260407484761
2333.66721528111761-0.66721528111761
2422.73632984743331-0.736329847433314
2522.96813309579396-0.968133095793956
2633.72553981844154-0.725539818441539
2743.667215281117610.33278471888239
2842.968133095793961.03186690420604
2954.134494218080620.865505781919377
3043.19993634415460.800063655845403
3132.504526599072670.495473400927328
3243.725539818441540.274460181558461
3344.83357640340428-0.833576403404278
3442.736329847433311.26367015256669
3553.667215281117611.33278471888239
3622.50085415883094-0.500854158830943
3722.73632984743331-0.736329847433314
3843.141611806830670.858388193169332
3954.366297466441270.633702533558735
4033.14161180683067-0.141611806830668
4154.134494218080620.865505781919377
4223.66721528111761-1.66721528111761
4342.968133095793961.03186690420604
4444.13449421808062-0.134494218080623
4522.73632984743331-0.736329847433314
4622.79465438475724-0.794654384757243
4743.19993634415460.800063655845403
4822.73632984743331-0.736329847433314
4923.1999363441546-1.19993634415460
5043.783864355765470.216135644234532
5111.97892312478573-0.97892312478573
5223.1999363441546-1.19993634415460
5342.736329847433311.26367015256669
5411.97892312478573-0.97892312478573
5554.776746767015420.223253232984577
5642.968133095793961.03186690420604
5742.736329847433311.26367015256669
5843.19993634415460.800063655845403
5912.44252962150701-1.44252962150701
6042.736329847433311.26367015256669
6142.736329847433311.26367015256669
6242.968133095793961.03186690420604
6343.670887721359340.32911227864066
6422.50452659907267-0.504526599072672
6542.442529621507011.55747037849299
6632.678005310109390.321994689890615
6722.96813309579396-0.968133095793956
6842.968133095793961.03186690420604
6942.442529621507011.55747037849299
7032.736329847433310.263670152566686
7132.968133095793960.0318669042060444
7222.67800531010939-0.678005310109385
7343.725539818441540.274460181558461
7443.725539818441540.274460181558461
7543.258260881478530.741739118521474
7642.736329847433311.26367015256669
7743.435412032756970.564587967243031
7843.19993634415460.800063655845403
7922.90980855847003-0.909808558470027
8023.31658541880245-1.31658541880245
8142.794654384757241.20534561524276
8222.96813309579396-0.968133095793956
8342.500854158830941.49914584116906
8453.667215281117611.33278471888239
8522.67800531010939-0.678005310109385
8644.13449421808062-0.134494218080623
8722.79465438475724-0.794654384757243
8842.210726373146371.78927362685363
8944.13449421808062-0.134494218080623
9023.43541203275697-1.43541203275697
9143.19993634415460.800063655845403
9213.1452842470724-2.1452842470724
9322.67800531010939-0.678005310109385
9453.435412032756971.56458796724303
9522.96813309579396-0.968133095793956
9654.950225478052140.049774521947864
9743.203608784396330.796391215603673
9844.01934004436784-0.0193400443678395
9923.14161180683067-1.14161180683067
10023.02645763311788-1.02645763311788
10143.19993634415460.800063655845403
10223.43541203275697-1.43541203275697
10344.01934004436784-0.0193400443678395
10443.261933321720260.738066678279744
10522.96813309579396-0.968133095793956
10642.678005310109391.32199468989062
10723.37708749543304-1.37708749543304
10842.736329847433311.26367015256669
10943.258260881478530.741739118521474
11042.736329847433311.26367015256669
11133.14161180683067-0.141611806830668
11233.66721528111761-0.66721528111761
11322.50452659907267-0.504526599072672
11454.366297466441270.633702533558735
11532.210726373146370.789273626853628
11642.968133095793961.03186690420604
11734.19281875540455-1.19281875540455
11822.50452659907267-0.504526599072672
11943.431739592515240.568260407484761
12022.44252962150701-0.442529621507014
12112.44252962150701-1.44252962150701
12223.43541203275697-1.43541203275697
12343.435412032756970.564587967243031
12412.21072637314637-1.21072637314637
12512.2690509104703-1.2690509104703
12643.725539818441540.274460181558461
12732.674332869867660.325667130132345
12822.96813309579396-0.968133095793956
12933.43541203275697-0.435412032756969
13022.96813309579396-0.968133095793956
13133.1999363441546-0.199936344154597
13242.968133095793961.03186690420604
13323.14161180683067-1.14161180683067
13413.14161180683067-2.14161180683067
13542.736329847433311.26367015256669
13644.25114329272848-0.251143292728481
13742.736329847433311.26367015256669
13833.1999363441546-0.199936344154597
13923.43541203275697-1.43541203275697
14022.96813309579396-0.968133095793956
14122.73632984743331-0.736329847433314
14253.670887721359341.32911227864066
14354.541271078413050.458728921586948
14422.21072637314637-0.210726373146372
14533.78386435576547-0.783864355765468
14622.96813309579396-0.968133095793956
14743.961015507043910.0389844929560892
14822.96813309579396-0.968133095793956
14922.50085415883094-0.500854158830943
15043.19993634415460.800063655845403
15123.14161180683067-1.14161180683067
15253.667215281117611.33278471888239
15354.776746767015420.223253232984577
15443.19993634415460.800063655845403
15544.42462200376519-0.424622003765194
15642.968133095793961.03186690420604
15722.96813309579396-0.968133095793956
15843.667215281117610.33278471888239
15934.25114329272848-1.25114329272848


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.3487057722836070.6974115445672130.651294227716393
80.1969261176747610.3938522353495210.80307388232524
90.6490903449723480.7018193100553050.350909655027653
100.5635811084804160.8728377830391670.436418891519584
110.4955478226514280.9910956453028570.504452177348572
120.4604981025359050.920996205071810.539501897464095
130.4186588978687570.8373177957375150.581341102131243
140.518552545823940.962894908352120.48144745417606
150.4860344379328170.9720688758656340.513965562067183
160.4501722550359020.9003445100718030.549827744964098
170.4285116319428730.8570232638857450.571488368057127
180.4027477000936280.8054954001872560.597252299906372
190.5166931415780950.966613716843810.483306858421905
200.4439596818092710.8879193636185420.556040318190729
210.3857102204920610.7714204409841220.614289779507939
220.3192041457818720.6384082915637450.680795854218128
230.324741242016080.649482484032160.67525875798392
240.2712406879879900.5424813759759810.72875931201201
250.2553610688545130.5107221377090270.744638931145487
260.2154306136301480.4308612272602960.784569386369852
270.1701930059414720.3403860118829430.829806994058528
280.2058334806692130.4116669613384260.794166519330787
290.1752465913807670.3504931827615330.824753408619233
300.1566033568313140.3132067136626280.843396643168686
310.1741953604543850.348390720908770.825804639545615
320.1461198575255790.2922397150511590.85388014247442
330.1827474109965910.3654948219931820.817252589003409
340.2277064769996120.4554129539992250.772293523000388
350.2603847948115860.5207695896231720.739615205188414
360.2284569850437270.4569139700874550.771543014956273
370.2077340323651060.4154680647302110.792265967634894
380.1804569797859850.3609139595719700.819543020214015
390.1525002203535880.3050004407071760.847499779646412
400.1353560026202450.2707120052404890.864643997379755
410.1236943737348630.2473887474697260.876305626265137
420.2165882120896640.4331764241793280.783411787910336
430.2258252252143390.4516504504286790.77417477478566
440.1913889278741390.3827778557482790.80861107212586
450.1741180738070880.3482361476141760.825881926192912
460.1521980190599450.3043960381198910.847801980940055
470.1409459715788950.2818919431577900.859054028421105
480.1260434944772980.2520869889545950.873956505522702
490.1501955468115670.3003910936231350.849804453188433
500.1384165255560950.2768330511121890.861583474443905
510.1396414696798190.2792829393596370.860358530320181
520.1621637079686030.3243274159372060.837836292031397
530.2005385163621020.4010770327242030.799461483637898
540.2013187138631040.4026374277262090.798681286136896
550.1794460091367080.3588920182734160.820553990863292
560.1884927021148460.3769854042296920.811507297885154
570.2221598099159790.4443196198319580.777840190084021
580.2097466838203660.4194933676407310.790253316179634
590.2629536773414650.525907354682930.737046322658535
600.2969952639701960.5939905279403930.703004736029804
610.3285663938965800.6571327877931590.67143360610342
620.3338409258373940.6676818516747870.666159074162606
630.2969593938413080.5939187876826170.703040606158692
640.2679141853524510.5358283707049020.732085814647549
650.3277360075035930.6554720150071850.672263992496407
660.2904950081018990.5809900162037990.7095049918981
670.2926506924682130.5853013849364270.707349307531786
680.2976307907757060.5952615815514120.702369209224294
690.3588641188347670.7177282376695340.641135881165233
700.3191957318483840.6383914636967670.680804268151616
710.2789654828002490.5579309656004980.721034517199751
720.2645018624429750.5290037248859510.735498137557025
730.2309187160162090.4618374320324180.769081283983791
740.1998623004366880.3997246008733770.800137699563312
750.1870605953600490.3741211907200980.812939404639951
760.2107988440015450.421597688003090.789201155998455
770.1899996027161590.3799992054323170.810000397283841
780.1802723456679620.3605446913359250.819727654332038
790.1815497203057710.3630994406115420.81845027969423
800.210931935607020.421863871214040.78906806439298
810.2313689529330790.4627379058661580.768631047066921
820.2327601392033980.4655202784067960.767239860796602
830.2843785675965100.5687571351930190.71562143240349
840.3259036405423490.6518072810846980.674096359457651
850.3061125394473410.6122250788946820.693887460552659
860.2704077872774400.5408155745548810.72959221272256
870.2599897355978350.519979471195670.740010264402165
880.3668272995430040.7336545990860080.633172700456996
890.3277369484273110.6554738968546220.672263051572689
900.3738876491142840.7477752982285680.626112350885716
910.3664659840104320.7329319680208640.633534015989568
920.5366151436144980.9267697127710040.463384856385502
930.511123577045940.977752845908120.48887642295406
940.5967232365786080.8065535268427830.403276763421392
950.5929967908943910.8140064182112180.407003209105609
960.5470710946293740.9058578107412520.452928905370626
970.5360105793098080.9279788413803830.463989420690192
980.489318445796320.978636891592640.51068155420368
990.498113804852730.996227609705460.50188619514727
1000.5041414641639610.9917170716720780.495858535836039
1010.5002365099432810.9995269801134380.499763490056719
1020.5483136044307810.9033727911384370.451686395569218
1030.5014937916465210.9970124167069570.498506208353479
1040.4782912728350130.9565825456700270.521708727164987
1050.4720586489364990.9441172978729970.527941351063501
1060.5326161509851850.934767698029630.467383849014815
1070.5626762393393270.8746475213213450.437323760660673
1080.6076903846524460.7846192306951070.392309615347554
1090.5990341493722270.8019317012555450.400965850627773
1100.6534492547825410.6931014904349170.346550745217459
1110.6080510531431080.7838978937137840.391948946856892
1120.5760333426150830.8479333147698350.423966657384918
1130.5330781323896040.9338437352207920.466921867610396
1140.5127241780255750.974551643948850.487275821974425
1150.5223889008853860.9552221982292270.477611099114614
1160.5596545415143060.8806909169713880.440345458485694
1170.5850709717887850.829858056422430.414929028211215
1180.5386474788622570.9227050422754870.461352521137743
1190.53873766148540.92252467702920.4612623385146
1200.4918284867976510.9836569735953010.508171513202349
1210.5093145564725330.9813708870549340.490685443527467
1220.5680481124423050.863903775115390.431951887557695
1230.5343530963851980.9312938072296040.465646903614802
1240.5370003151446040.9259993697107910.462999684855396
1250.5645582681781490.8708834636437010.435441731821851
1260.5190274159923780.9619451680152440.480972584007622
1270.513944345333220.972111309333560.48605565466678
1280.4977109030521840.9954218061043690.502289096947816
1290.4478178984497120.8956357968994240.552182101550288
1300.4340727669987870.8681455339975750.565927233001213
1310.3784405352558410.7568810705116820.621559464744159
1320.4039641599730860.8079283199461720.596035840026914
1330.3740108870437080.7480217740874160.625989112956292
1340.543569514972710.912860970054580.45643048502729
1350.6013925712070930.7972148575858150.398607428792907
1360.5349726408297590.9300547183404820.465027359170241
1370.6444970524794590.7110058950410830.355502947520541
1380.5738182119029090.8523635761941820.426181788097091
1390.6785906149442570.6428187701114850.321409385055743
1400.6509215745141030.6981568509717930.349078425485897
1410.5980468285585130.8039063428829730.401953171441487
1420.6273678537054830.7452642925890340.372632146294517
1430.5831024575861130.8337950848277740.416897542413887
1440.4952822107479150.990564421495830.504717789252085
1450.4213600692509320.8427201385018630.578639930749068
1460.383388266025270.766776532050540.61661173397473
1470.2953010237286320.5906020474572650.704698976271368
1480.2699615312885960.5399230625771910.730038468711405
1490.2130893155253690.4261786310507380.786910684474631
1500.1651555238184290.3303110476368580.834844476181571
1510.2553385869633920.5106771739267850.744661413036608
1520.2368264840466430.4736529680932850.763173515953357


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level00OK
10% type I error level00OK