Multiple Linear Regression - Estimated Regression Equation
neat[t] = + 3.11496151267241 -0.356877549090113pop[t] -0.00119421517556332t -0.00179540754477218pop_t[t] -0.00219470236971442standards[t] -0.0349340132681798standards_t[t] + 0.304511079436016organization[t] -0.00263513485222802organization_t[t] -0.097552907943736punished[t] -0.0910536869962877punished_t[t] -0.00449692769033478secondrate[t] + 0.00189629269507846secondrate_t[t] -0.145120416918951mistakes[t] + 0.186359455031474mistakes_t[t] + 0.0261586753641117competent[t] + 0.0520976377859459competent_t[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)3.114961512672410.7075994.40222.1e-051e-05
pop-0.3568775490901130.94367-0.37820.7058570.352929
t-0.001194215175563320.002018-0.59160.5550260.277513
pop_t-0.001795407544772180.00278-0.64580.5194330.259716
standards-0.002194702369714420.091643-0.02390.9809270.490464
standards_t-0.03493401326817980.136461-0.2560.7983180.399159
organization0.3045110794360160.1021622.98070.0033810.001691
organization_t-0.002635134852228020.15028-0.01750.9860340.493017
punished-0.0975529079437360.100025-0.97530.3310660.165533
punished_t-0.09105368699628770.16336-0.55740.5781390.28907
secondrate-0.004496927690334780.085287-0.05270.9580230.479012
secondrate_t0.001896292695078460.1311870.01450.9884870.494244
mistakes-0.1451204169189510.101501-1.42970.1549720.077486
mistakes_t0.1863594550314740.1479171.25990.2097610.10488
competent0.02615867536411170.1034390.25290.8007160.400358
competent_t0.05209763778594590.1639810.31770.7511710.375586


Multiple Linear Regression - Regression Statistics
Multiple R0.457606458303133
R-squared0.209403670680737
Adjusted R-squared0.126473985787108
F-TEST (value)2.52507495897678
F-TEST (DF numerator)15
F-TEST (DF denominator)143
p-value0.00239273837122178
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.743455096513655
Sum Squared Residuals79.0397437160943


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
144.09261014167862-0.0926101416786193
243.78240791937670.217592080623298
343.894247923319130.105752076680872
443.881816410596970.118183589403027
543.133316873001640.866683126998361
654.300105916527130.699894083472868
744.47554081772749-0.475540817727494
833.69340529037304-0.693405290373043
943.616959975951310.383040024048686
1043.967707099796990.0322929002030065
1143.380444798484060.619555201515939
1243.302174620928560.697825379071441
1343.259686515920250.740313484079747
1423.52355980129-1.52355980129
1533.87353740836969-0.87353740836969
1644.23417192120177-0.234171921201767
1733.76679691706387-0.766796917063873
1823.25388053689734-1.25388053689734
1943.851726670384630.148273329615367
2033.61589915224852-0.615899152248517
2134.02504242741884-1.02504242741884
2243.685042787807270.314957212192732
2333.21977292318718-0.219772923187180
2433.83266823430833-0.832668234308326
2544.15455734128611-0.154557341286109
2643.723198675059640.276801324940358
2743.746841299876270.253158700123725
2843.877119219377850.122880780622150
2943.557456729486090.442543270513907
3043.737872431715270.262127568284731
3153.856517144979491.14348285502051
3243.434557437624340.56544256237566
3343.51757472473470.482425275265298
3443.739696106068340.260303893931659
3533.76676399122137-0.76676399122137
3644.21540007275691-0.215400072756913
3734.04923877542472-1.04923877542472
3843.51880442053520.481195579464798
3943.572247188254650.427752811745349
4033.70537556951666-0.705375569516657
4154.216228149890050.783771850109948
4244.02498766914298-0.0249876691429773
4333.58222406068394-0.582224060683942
4434.32261339053753-1.32261339053753
4533.76728552218602-0.767285522186025
4644.25997970898001-0.259979708980013
4743.535834919470420.464165080529581
4844.01997829212459-0.0199782921245865
4943.876004673685420.123995326314582
5043.658858431636910.341141568363095
5143.931243423334150.0687565766658503
5243.872422028158730.127577971841272
5353.74596917541861.25403082458140
5433.24546762284602-0.245467622846023
5532.853473148591400.146526851408597
5653.999146901208231.00085309879177
5753.861846501639671.13815349836033
5843.962809645049080.037190354950916
5944.13754558987472-0.137545589874722
6033.36530886441046-0.36530886441046
6143.982689100127180.0173108998728226
6243.826700777129930.173299222870073
6354.265739053346710.734260946653288
6443.788850444250070.211149555749933
6543.930486165825740.0695138341742564
6654.253162552439350.746837447560647
6743.510473115395890.48952688460411
6833.64933057875426-0.649330578754259
6944.11285063266188-0.112850632661879
7043.692544954177640.307455045822363
7143.644968470700460.355031529299540
7243.877772938672250.122227061327754
7344.04980475327384-0.0498047532738431
7444.01795493504383-0.0179549350438333
7543.861375680776180.138624319223821
7633.84815026868464-0.848150268684637
7743.823095474437420.176904525562582
7833.70503925578767-0.705039255787672
7954.146884000224250.853115999775751
8043.549752892581230.450247107418774
8153.847455583024261.15254441697574
8253.48196184509731.51803815490270
8343.765539828082610.234460171917386
8443.665260002017340.334739997982659
8543.716811857050050.283188142949953
8643.678203206171190.321796793828810
8743.928069882006840.071930117993158
8854.09317651661340.906823483386601
8943.628633323085080.371366676914922
9033.97435697077599-0.974356970775987
9143.558106080770060.441893919229941
9234.35456548250055-1.35456548250055
9343.510514281966160.489485718033844
9443.472996578603180.527003421396817
9543.880606304862210.119393695137786
9643.583624490623560.416375509376438
9743.768589423338950.231410576661049
9833.56801565220917-0.568015652209173
9933.33643743459474-0.336437434594737
10033.93625614365624-0.936256143656242
10133.25874631048137-0.258746310481367
10233.63146019016171-0.631460190161706
10323.57103843171203-1.57103843171203
10433.59349841668149-0.593498416681486
10554.059020127241040.940979872758956
10623.30877261302954-1.30877261302954
10723.46914451973253-1.46914451973253
10833.00131048061677-0.00131048061677235
10933.27184660375622-0.271846603756217
11033.91213122857843-0.912131228578426
11143.573343413634440.426656586365564
11243.57520144487280.424798555127196
11333.44508656576661-0.445086565766608
11423.71130096925346-1.71130096925346
11533.60347273295005-0.603472732950051
11643.912651773156890.0873482268431055
11722.87402336587850-0.874023365878504
11842.752255824160761.24774417583924
11943.662006398028090.337993601971911
12023.19751472346182-1.19751472346182
12134.03039228058693-1.03039228058693
12233.12242423434371-0.122424234343707
12333.00388305984289-0.00388305984289303
12444.12149769505773-0.121497695057726
12543.760561972606990.239438027393013
12643.444386494986250.555613505013755
12733.99037668410939-0.990376684109385
12843.403761807610230.596238192389774
12943.849559466899360.150440533100644
13043.517277913432140.482722086567864
13122.94283736244231-0.942837362442314
13243.752920841119270.247079158880735
13353.467236530151131.53276346984887
13443.986514105570780.0134858944292235
13543.725374222598180.274625777401822
13643.420972423359710.579027576640294
13733.56834497148300-0.568344971482995
13813.45883285102681-2.45883285102681
13943.219286637784050.780713362215954
14032.820277403400420.179722596599585
14132.956407293096030.0435927069039695
14233.59139107119343-0.591391071193428
14312.39835293598855-1.39835293598855
14443.621281064695570.378718935304433
14553.354799101761251.64520089823875
14643.466843314911510.533156685088488
14733.19899502264492-0.198995022644922
14843.115797384057550.88420261594245
14932.894018431208610.105981568791393
15043.551289269685380.448710730314619
15143.559651532516110.440348467483887
15243.373138459834340.626861540165663
15353.830029407456491.16997059254351
15422.87635824201131-0.876358242011313
15533.2172869906969-0.217286990696899
15633.72425967690575-0.724259676905746
15743.473575375020610.526424624979388
15843.546232475971210.453767524028791
15932.897968996793500.102031003206495


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.6888102855993010.6223794288013980.311189714400699
200.536650009800770.926699980398460.46334999019923
210.5717793710089390.8564412579821220.428220628991061
220.5000418053667780.9999163892664440.499958194633222
230.3838257775366270.7676515550732550.616174222463373
240.2967124633342240.5934249266684480.703287536665776
250.2370559193104220.4741118386208430.762944080689578
260.1656189087785140.3312378175570270.834381091221487
270.1793440989818170.3586881979636350.820655901018183
280.2597756205529640.5195512411059280.740224379447036
290.2285924029699090.4571848059398180.771407597030091
300.1822647901833050.3645295803666100.817735209816695
310.2360919670240090.4721839340480180.763908032975991
320.197939014215330.395878028430660.80206098578467
330.1498161609178610.2996323218357230.850183839082139
340.1813962509100270.3627925018200540.818603749089973
350.1743411433113330.3486822866226650.825658856688667
360.1570114630758710.3140229261517410.84298853692413
370.1336847539779500.2673695079558990.86631524602205
380.1057396371001270.2114792742002530.894260362899873
390.08515120031142160.1703024006228430.914848799688578
400.0677995763261320.1355991526522640.932200423673868
410.07723789285455890.1544757857091180.922762107145441
420.06077483562885320.1215496712577060.939225164371147
430.05147750171040590.1029550034208120.948522498289594
440.1244416151392960.2488832302785920.875558384860704
450.1163529890104450.232705978020890.883647010989555
460.1201162852745180.2402325705490370.879883714725482
470.1048033173926610.2096066347853210.89519668260734
480.1573479926270880.3146959852541770.842652007372912
490.1240976200762510.2481952401525020.875902379923749
500.0990655525791970.1981311051583940.900934447420803
510.1166699880437680.2333399760875360.883330011956232
520.09063374932510170.1812674986502030.909366250674898
530.1977127338907520.3954254677815030.802287266109248
540.1628174484736420.3256348969472840.837182551526358
550.1351927173594690.2703854347189380.86480728264053
560.1570529794522330.3141059589044670.842947020547767
570.1569803856717200.3139607713434390.84301961432828
580.1299326500608210.2598653001216420.870067349939179
590.1059518945336880.2119037890673750.894048105466312
600.1115169436231010.2230338872462010.8884830563769
610.08855628752289080.1771125750457820.91144371247711
620.06954430211576950.1390886042315390.93045569788423
630.05992842992762110.1198568598552420.940071570072379
640.04657837142615730.09315674285231470.953421628573843
650.03584602292304230.07169204584608450.964153977076958
660.03171651754453490.06343303508906980.968283482455465
670.02627123630959480.05254247261918970.973728763690405
680.03484671628109740.06969343256219490.965153283718903
690.02679836097559680.05359672195119360.973201639024403
700.02009004502810390.04018009005620780.979909954971896
710.01608915285640170.03217830571280340.983910847143598
720.01157607148816690.02315214297633390.988423928511833
730.008281484239864240.01656296847972850.991718515760136
740.005794567090943770.01158913418188750.994205432909056
750.004079422667444510.008158845334889010.995920577332555
760.006809311122276880.01361862224455380.993190688877723
770.004741879523382610.009483759046765210.995258120476617
780.006325569768070380.01265113953614080.99367443023193
790.00689899150184170.01379798300368340.993101008498158
800.005167478311622090.01033495662324420.994832521688378
810.01037845014378410.02075690028756810.989621549856216
820.0247127218030480.0494254436060960.975287278196952
830.01840145592541270.03680291185082530.981598544074587
840.01547476238988590.03094952477977170.984525237610114
850.01133132751028500.02266265502057000.988668672489715
860.008166186844233310.01633237368846660.991833813155767
870.008768756793906550.01753751358781310.991231243206093
880.008981157109396970.01796231421879390.991018842890603
890.007985369147327660.01597073829465530.992014630852672
900.01171452996963630.02342905993927250.988285470030364
910.01012886516482810.02025773032965610.989871134835172
920.02110055887347300.04220111774694610.978899441126527
930.01662310722414620.03324621444829250.983376892775854
940.01670794741405250.0334158948281050.983292052585948
950.01597753760588220.03195507521176450.984022462394118
960.01632352403565990.03264704807131980.98367647596434
970.01241734423198260.02483468846396520.987582655768017
980.01343174471484880.02686348942969760.986568255285151
990.01254883938305630.02509767876611260.987451160616944
1000.01512186205520650.03024372411041310.984878137944793
1010.01306232218188630.02612464436377260.986937677818114
1020.01180838354620270.02361676709240550.988191616453797
1030.02176787714179480.04353575428358950.978232122858205
1040.01857744409600650.03715488819201310.981422555903993
1050.02857285360752760.05714570721505520.971427146392472
1060.05125738197367560.1025147639473510.948742618026324
1070.08818479225065440.1763695845013090.911815207749346
1080.07370901696157050.1474180339231410.92629098303843
1090.05664843393449370.1132968678689870.943351566065506
1100.08939816772462360.1787963354492470.910601832275376
1110.0766673450836770.1533346901673540.923332654916323
1120.1075011903502900.2150023807005790.89249880964971
1130.1082187620917830.2164375241835660.891781237908217
1140.1384539062461830.2769078124923660.861546093753817
1150.1274637606869620.2549275213739250.872536239313037
1160.1026513532766110.2053027065532220.897348646723389
1170.1011819791606200.2023639583212400.89881802083938
1180.1506945689290700.3013891378581390.84930543107093
1190.1253327388682680.2506654777365360.874667261131732
1200.3373026020389880.6746052040779760.662697397961012
1210.3845633017579370.7691266035158750.615436698242062
1220.3243152869755130.6486305739510260.675684713024487
1230.2700453557638480.5400907115276950.729954644236152
1240.2506538575738790.5013077151477580.749346142426121
1250.2072814541328530.4145629082657050.792718545867147
1260.1949036739199330.3898073478398660.805096326080067
1270.2563171132574780.5126342265149560.743682886742522
1280.2709603574998810.5419207149997610.72903964250012
1290.2606624386482220.5213248772964450.739337561351778
1300.2420917425168090.4841834850336190.75790825748319
1310.2335708524185180.4671417048370360.766429147581482
1320.1949691885472230.3899383770944460.805030811452777
1330.2621067045262660.5242134090525330.737893295473734
1340.1990133064348980.3980266128697970.800986693565102
1350.2304752583783420.4609505167566850.769524741621658
1360.4341143156868670.8682286313737340.565885684313133
1370.3267414289808260.6534828579616520.673258571019174
1380.2783941609659910.5567883219319810.721605839034009
1390.3080921563310250.6161843126620490.691907843668975
1400.3139519915293050.627903983058610.686048008470695


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level20.0163934426229508NOK
5% type I error level350.286885245901639NOK
10% type I error level420.344262295081967NOK