Multiple Linear Regression - Estimated Regression Equation
neat[t] = + 3.11496151267242 -0.356877549090112pop[t] -0.00119421517556334t -0.00179540754477216pop_t[t] -0.00219470236971560standards[t] -0.0349340132681785standards_t[t] + 0.304511079436017organization[t] -0.00263513485222916organization_t[t] -0.0975529079437357punished[t] -0.091053686996288punished_t[t] -0.0044969276903347secondrate[t] + 0.00189629269507838secondrate_t[t] -0.145120416918951mistakes[t] + 0.186359455031473mistakes_t[t] + 0.026158675364112competent[t] + 0.0520976377859456competent_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)3.114961512672420.7075994.40222.1e-051e-05
pop-0.3568775490901120.94367-0.37820.7058570.352929
t-0.001194215175563340.002018-0.59160.5550260.277513
pop_t-0.001795407544772160.00278-0.64580.5194330.259716
standards-0.002194702369715600.091643-0.02390.9809270.490464
standards_t-0.03493401326817850.136461-0.2560.7983180.399159
organization0.3045110794360170.1021622.98070.0033810.001691
organization_t-0.002635134852229160.15028-0.01750.9860340.493017
punished-0.09755290794373570.100025-0.97530.3310660.165533
punished_t-0.0910536869962880.16336-0.55740.5781390.28907
secondrate-0.00449692769033470.085287-0.05270.9580230.479012
secondrate_t0.001896292695078380.1311870.01450.9884870.494244
mistakes-0.1451204169189510.101501-1.42970.1549720.077486
mistakes_t0.1863594550314730.1479171.25990.2097610.10488
competent0.0261586753641120.1034390.25290.8007160.400358
competent_t0.05209763778594560.1639810.31770.7511710.375586


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
144.09261014167856-0.0926101416785626
243.782407919376700.217592080623296
343.894247923319130.105752076680872
443.881816410596980.118183589403024
543.133316873001640.86668312699836
654.300105916527130.69989408347287
744.4755408177275-0.475540817727498
833.69340529037304-0.693405290373043
943.616959975951320.383040024048684
1043.9677070997970.0322929002030034
1143.380444798484060.619555201515939
1243.302174620928560.69782537907144
1343.259686515920250.740313484079746
1423.52355980129-1.52355980129000
1533.87353740836969-0.873537408369691
1644.23417192120177-0.234171921201766
1733.76679691706388-0.766796917063876
1823.25388053689734-1.25388053689734
1943.851726670384630.148273329615367
2033.61589915224852-0.61589915224852
2134.02504242741884-1.02504242741884
2243.685042787807270.314957212192732
2333.21977292318718-0.219772923187184
2433.83266823430833-0.832668234308326
2544.15455734128611-0.154557341286112
2643.723198675059640.276801324940356
2743.746841299876270.253158700123725
2843.877119219377850.122880780622148
2943.557456729486090.442543270513907
3043.737872431715270.262127568284731
3153.856517144979491.14348285502051
3243.434557437624340.56544256237566
3343.51757472473470.4824252752653
3443.739696106068350.260303893931655
3533.76676399122137-0.76676399122137
3644.21540007275692-0.215400072756917
3734.04923877542472-1.04923877542472
3843.51880442053520.481195579464797
3943.572247188254650.427752811745349
4033.70537556951666-0.705375569516657
4154.216228149890050.783771850109946
4244.02498766914298-0.0249876691429781
4333.58222406068394-0.582224060683942
4434.32261339053753-1.32261339053753
4533.76728552218602-0.767285522186025
4644.25997970898001-0.259979708980013
4743.535834919470420.464165080529580
4844.01997829212459-0.0199782921245865
4943.876004673685420.123995326314581
5043.658858431636900.341141568363095
5143.931243423334150.0687565766658501
5243.872422028158730.127577971841271
5353.74596917541861.25403082458140
5433.24546762284602-0.245467622846023
5532.853473148591410.146526851408595
5653.999146901208231.00085309879177
5753.861846501639671.13815349836033
5843.962809645049080.0371903549509157
5944.13754558987472-0.137545589874721
6033.36530886441046-0.365308864410462
6143.982689100127180.0173108998728230
6243.826700777129930.173299222870073
6354.265739053346720.734260946653285
6443.788850444250070.211149555749933
6543.930486165825740.0695138341742556
6654.253162552439360.746837447560644
6743.510473115395890.489526884604109
6833.64933057875426-0.649330578754261
6944.11285063266188-0.112850632661879
7043.692544954177640.307455045822363
7143.644968470700460.355031529299541
7243.877772938672250.122227061327754
7344.04980475327385-0.0498047532738448
7444.01795493504383-0.0179549350438348
7543.861375680776180.138624319223821
7633.84815026868464-0.84815026868464
7743.823095474437420.176904525562582
7833.70503925578767-0.705039255787672
7954.146884000224250.85311599977575
8043.549752892581230.450247107418773
8153.847455583024271.15254441697573
8253.481961845097301.51803815490270
8343.765539828082610.234460171917386
8443.665260002017340.334739997982658
8543.716811857050050.283188142949953
8643.678203206171190.321796793828810
8743.928069882006840.0719301179931565
8854.09317651661340.906823483386601
8943.628633323085080.371366676914921
9033.97435697077599-0.974356970775988
9143.558106080770060.441893919229941
9234.35456548250055-1.35456548250055
9343.510514281966160.489485718033843
9443.472996578603180.527003421396817
9543.880606304862220.119393695137784
9643.583624490623560.416375509376438
9743.768589423338950.231410576661046
9833.56801565220917-0.568015652209175
9933.33643743459474-0.336437434594737
10033.93625614365624-0.936256143656242
10133.25874631048137-0.258746310481367
10233.63146019016171-0.631460190161706
10323.57103843171203-1.57103843171203
10433.59349841668149-0.593498416681486
10554.059020127241040.940979872758955
10623.30877261302954-1.30877261302954
10723.46914451973253-1.46914451973253
10833.00131048061677-0.00131048061677247
10933.27184660375622-0.271846603756217
11033.91213122857843-0.912131228578425
11143.573343413634430.426656586365567
11243.57520144487280.424798555127197
11333.44508656576661-0.44508656576661
11423.71130096925346-1.71130096925346
11533.60347273295005-0.603472732950051
11643.912651773156890.0873482268431058
11722.87402336587850-0.874023365878504
11842.752255824160761.24774417583924
11943.662006398028090.337993601971913
12023.19751472346182-1.19751472346182
12134.03039228058693-1.03039228058693
12233.12242423434371-0.122424234343708
12333.00388305984289-0.00388305984289308
12444.12149769505773-0.121497695057728
12543.760561972606990.239438027393013
12643.444386494986240.555613505013757
12733.99037668410938-0.990376684109383
12843.403761807610230.596238192389774
12943.849559466899360.150440533100644
13043.517277913432140.482722086567864
13122.94283736244231-0.942837362442315
13243.752920841119260.247079158880735
13353.467236530151131.53276346984887
13443.986514105570770.0134858944292257
13543.725374222598180.274625777401822
13643.420972423359700.579027576640295
13733.56834497148299-0.568344971482994
13813.45883285102681-2.45883285102681
13943.219286637784050.780713362215954
14032.820277403400410.179722596599586
14132.956407293096030.0435927069039693
14233.59139107119343-0.59139107119343
14312.39835293598855-1.39835293598855
14443.621281064695570.378718935304433
14553.354799101761251.64520089823875
14643.466843314911510.533156685088489
14733.19899502264492-0.198995022644922
14843.115797384057550.884202615942452
14932.894018431208610.105981568791393
15043.551289269685380.44871073031462
15143.559651532516110.44034846748389
15243.373138459834340.626861540165663
15353.830029407456491.16997059254351
15422.87635824201131-0.876358242011314
15533.2172869906969-0.217286990696898
15633.72425967690574-0.724259676905745
15743.473575375020610.526424624979389
15843.546232475971210.453767524028792
15932.897968996793500.102031003206497


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
190.68881028559930.62237942880140.3111897144007
200.5366500098007690.9266999803984610.463349990199231
210.5717793710089370.8564412579821250.428220628991063
220.5000418053667770.9999163892664470.499958194633223
230.3838257775366250.7676515550732510.616174222463375
240.2967124633342250.593424926668450.703287536665775
250.2370559193104220.4741118386208440.762944080689578
260.1656189087785130.3312378175570260.834381091221487
270.1793440989818170.3586881979636350.820655901018183
280.2597756205529650.519551241105930.740224379447035
290.2285924029699100.4571848059398190.77140759703009
300.1822647901833060.3645295803666120.817735209816694
310.2360919670240090.4721839340480180.763908032975991
320.1979390142153300.3958780284306590.80206098578467
330.1498161609178610.2996323218357220.850183839082139
340.1813962509100280.3627925018200560.818603749089972
350.1743411433113330.3486822866226650.825658856688667
360.1570114630758690.3140229261517380.842988536924131
370.1336847539779490.2673695079558980.866315246022051
380.1057396371001260.2114792742002520.894260362899874
390.08515120031142120.1703024006228420.914848799688579
400.0677995763261320.1355991526522640.932200423673868
410.07723789285455930.1544757857091190.92276210714544
420.06077483562885370.1215496712577070.939225164371146
430.05147750171040570.1029550034208110.948522498289594
440.1244416151392960.2488832302785910.875558384860704
450.1163529890104450.232705978020890.883647010989555
460.1201162852745190.2402325705490380.879883714725481
470.1048033173926610.2096066347853230.895196682607339
480.1573479926270890.3146959852541770.842652007372911
490.1240976200762510.2481952401525030.875902379923749
500.09906555257919660.1981311051583930.900934447420803
510.1166699880437680.2333399760875360.883330011956232
520.09063374932510180.1812674986502040.909366250674898
530.1977127338907510.3954254677815020.802287266109249
540.1628174484736430.3256348969472850.837182551526357
550.1351927173594710.2703854347189410.86480728264053
560.1570529794522330.3141059589044670.842947020547766
570.1569803856717200.3139607713434390.84301961432828
580.1299326500608210.2598653001216420.870067349939179
590.1059518945336870.2119037890673740.894048105466313
600.1115169436231000.2230338872462010.8884830563769
610.08855628752289080.1771125750457820.911443712477109
620.06954430211576880.1390886042315380.930455697884231
630.05992842992762090.1198568598552420.94007157007238
640.04657837142615720.09315674285231450.953421628573843
650.03584602292304280.07169204584608560.964153977076957
660.03171651754453490.06343303508906990.968283482455465
670.02627123630959480.05254247261918950.973728763690405
680.03484671628109750.0696934325621950.965153283718903
690.02679836097559680.05359672195119360.973201639024403
700.02009004502810400.04018009005620810.979909954971896
710.01608915285640160.03217830571280310.983910847143598
720.01157607148816700.02315214297633400.988423928511833
730.008281484239864220.01656296847972840.991718515760136
740.005794567090943730.01158913418188750.994205432909056
750.004079422667444510.008158845334889030.995920577332555
760.006809311122276980.01361862224455400.993190688877723
770.004741879523382590.009483759046765170.995258120476617
780.006325569768070460.01265113953614090.99367443023193
790.006898991501841720.01379798300368340.993101008498158
800.005167478311622090.01033495662324420.994832521688378
810.01037845014378440.02075690028756870.989621549856216
820.02471272180304810.04942544360609620.975287278196952
830.01840145592541250.0368029118508250.981598544074588
840.01547476238988570.03094952477977140.984525237610114
850.01133132751028500.02266265502057000.988668672489715
860.008166186844233410.01633237368846680.991833813155767
870.008768756793906530.01753751358781310.991231243206093
880.008981157109396880.01796231421879380.991018842890603
890.007985369147327660.01597073829465530.992014630852672
900.01171452996963630.02342905993927270.988285470030364
910.01012886516482780.02025773032965570.989871134835172
920.02110055887347310.04220111774694630.978899441126527
930.01662310722414640.03324621444829290.983376892775853
940.01670794741405260.03341589482810520.983292052585947
950.01597753760588220.03195507521176430.984022462394118
960.01632352403565980.03264704807131950.98367647596434
970.01241734423198260.02483468846396510.987582655768017
980.01343174471484870.02686348942969750.986568255285151
990.01254883938305630.02509767876611260.987451160616944
1000.01512186205520650.0302437241104130.984878137944794
1010.01306232218188620.02612464436377240.986937677818114
1020.01180838354620260.02361676709240520.988191616453797
1030.02176787714179460.04353575428358920.978232122858205
1040.01857744409600660.03715488819201310.981422555903993
1050.02857285360752770.05714570721505550.971427146392472
1060.05125738197367520.1025147639473500.948742618026325
1070.0881847922506540.1763695845013080.911815207749346
1080.07370901696157060.1474180339231410.92629098303843
1090.05664843393449240.1132968678689850.943351566065508
1100.08939816772462350.1787963354492470.910601832275376
1110.07666734508367650.1533346901673530.923332654916323
1120.1075011903502890.2150023807005770.892498809649712
1130.1082187620917830.2164375241835650.891781237908217
1140.1384539062461830.2769078124923670.861546093753817
1150.1274637606869620.2549275213739250.872536239313038
1160.1026513532766110.2053027065532220.897348646723389
1170.1011819791606210.2023639583212420.89881802083938
1180.1506945689290690.3013891378581380.849305431070931
1190.1253327388682660.2506654777365320.874667261131734
1200.3373026020389870.6746052040779750.662697397961013
1210.3845633017579370.7691266035158750.615436698242063
1220.3243152869755120.6486305739510240.675684713024488
1230.2700453557638480.5400907115276960.729954644236152
1240.2506538575738780.5013077151477570.749346142426122
1250.2072814541328550.4145629082657090.792718545867145
1260.1949036739199350.389807347839870.805096326080065
1270.2563171132574810.5126342265149610.74368288674252
1280.2709603574998800.5419207149997610.72903964250012
1290.2606624386482200.5213248772964410.73933756135178
1300.2420917425168070.4841834850336150.757908257483193
1310.2335708524185190.4671417048370370.766429147581481
1320.1949691885472230.3899383770944460.805030811452777
1330.2621067045262660.5242134090525310.737893295473735
1340.1990133064348980.3980266128697970.800986693565102
1350.2304752583783460.4609505167566920.769524741621654
1360.4341143156868660.8682286313737320.565885684313134
1370.3267414289808260.6534828579616520.673258571019174
1380.2783941609659890.5567883219319790.72160583903401
1390.3080921563310230.6161843126620470.691907843668977
1400.3139519915293060.6279039830586120.686048008470694


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