Multiple Linear Regression - Estimated Regression Equation
Personal-Standards[t] = + 7.35806857088718 + 0.335229845129777`Concern(Mistakes)`[t] -0.366768472039511`Doubts(actions)`[t] + 0.161870869815985`Parental-Expectations`[t] + 0.0620916339294919`Parental-Criticism`[t] + 0.391606185783133Organization[t] -0.0947915214066301M1[t] + 0.289928443126254M2[t] + 0.669863771372266M3[t] + 0.159286592158596M4[t] + 0.365862044388642M5[t] + 1.01199387597801M6[t] + 0.433806865976564M7[t] + 1.67117605285828M8[t] + 1.41863032292718M9[t] + 0.923487622100795M10[t] -0.528232240887845M11[t] -0.00392377145820462t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)7.358068570887182.6107362.81840.0055210.00276
`Concern(Mistakes)`0.3352298451297770.0598445.601800
`Doubts(actions)`-0.3667684720395110.116654-3.14410.0020320.001016
`Parental-Expectations`0.1618708698159850.1069321.51380.1323230.066161
`Parental-Criticism`0.06209163392949190.1398060.44410.6576310.328815
Organization0.3916061857831330.078574.98422e-061e-06
M1-0.09479152140663011.371116-0.06910.944980.47249
M20.2899284431262541.3729270.21120.8330550.416528
M30.6698637713722661.3653340.49060.6244560.312228
M40.1592865921585961.4076080.11320.9100640.455032
M50.3658620443886421.4025910.26080.7945910.397295
M61.011993875978011.4050640.72020.4725650.236282
M70.4338068659765641.4267620.3040.7615380.380769
M81.671176052858281.4004831.19330.2347620.117381
M91.418630322927181.3851531.02420.3075090.153755
M100.9234876221007951.3746660.67180.5028160.251408
M11-0.5282322408878451.425316-0.37060.7114860.355743
t-0.003923771458204620.006235-0.62930.5301530.265076


Multiple Linear Regression - Regression Statistics
Multiple R0.624037149557158
R-squared0.389422364027423
Adjusted R-squared0.315806620683212
F-TEST (value)5.2899331900592
F-TEST (DF numerator)17
F-TEST (DF denominator)141
p-value6.3415130924227e-09
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.48809878442326
Sum Squared Residuals1715.5234713152


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12422.87755095807491.12244904192510
22522.62321384006672.37678615993331
33024.55315006574005.44684993426003
41920.2569596676826-1.25695966768263
52220.74609386704151.25390613295854
62223.7761838828064-1.7761838828064
72522.62042196712882.37957803287115
82321.01439622436771.98560377563234
91719.8996545729215-2.89965457292149
102122.2358900428701-1.23589004287007
111922.1388113888032-3.13881138880317
121923.2264186032549-4.22641860325494
131523.0052386766923-8.00523867669233
141617.2155143178032-1.21551431780318
152319.85571898153913.14428101846091
162723.65166185799923.34833814200076
172221.2439232492280.756076750772009
181417.3703213300574-3.37032133005742
192224.0727675886107-2.07276758861067
202325.4750722608101-2.47507226081009
212322.80711260589040.192887394109601
222125.1535597482625-4.15355974826248
231921.7756134057833-2.7756134057833
241823.643648688968-5.64364868896801
252022.7423824693960-2.74238246939605
262322.36094491326080.639055086739163
272523.52483247673981.47516752326024
281923.2080945333542-4.20809453335417
292423.83998248292060.160017517079393
302222.1341538061665-0.134153806166453
312525.2340371040106-0.234037104010590
322624.72182477104991.27817522895007
332923.60178238706475.39821761293526
343225.76199283521396.23800716478608
352520.62485484149574.37514515850427
362924.08702075219474.91297924780526
372824.59095292152473.40904707847529
381716.85683082732480.143169172675234
392826.47514998613871.52485001386127
402922.72396291679826.27603708320182
412627.4327404551764-1.43274045517642
422524.11136354592130.888636454078658
431419.5717070330908-5.57170703309077
442523.16192415815031.83807584184967
452622.75942540300343.2405745969966
462020.7957560023732-0.795756002373161
471820.50091434102-2.50091434101998
483224.32548991233887.67451008766118
492524.57111881863670.428881181363266
502521.43751239635893.56248760364113
512321.13176976222611.86823023777391
522121.8842719792225-0.88427197922245
532023.9570396213469-3.95703962134687
541517.1303869794566-2.13038697945661
553026.98721316381633.01278683618373
562426.5532621558852-2.55326215588515
572625.2729663185290.727033681470997
582422.07281510753191.92718489246812
592220.40014847760361.59985152239642
601415.1810863861930-1.18108638619296
612421.71334789711622.28665210288377
622422.65228478091491.34771521908512
632423.41468695024210.585313049757879
642419.78472098823154.2152790117685
651918.25147921203050.748520787969483
663127.31378741843793.68621258156212
672226.6628212700780-4.66282127007797
682722.65566325418724.34433674581277
691918.53645027916770.463549720832304
702522.74450318506462.25549681493536
712023.9959644063116-3.99596440631164
722121.0424293738690-0.042429373868957
732726.90146942153600.0985305784640425
742324.1814022572013-1.18140225720133
752525.7394767033077-0.739476703307729
762021.9246636604855-1.92466366048551
772118.91205534689112.08794465310893
782222.9261786979608-0.926178697960797
792322.92206404196380.0779359580361682
802525.1595325767019-0.159532576701885
812524.33300589817880.66699410182121
821724.2524067832873-7.25240678328733
831920.3591588484922-1.35915884849218
842523.40831960982331.59168039017671
851921.6840764492848-2.68407644928478
862022.7390500372559-2.73905003725591
872622.54829244914433.45170755085569
882320.37590263060792.62409736939209
892724.43448183395282.56551816604722
901721.3194271294415-4.31942712944146
911723.1775033066431-6.17750330664306
921921.2527789615909-2.25277896159087
931720.5152507488465-3.5152507488465
942222.2528301148561-0.252830114856086
952122.5003917739954-1.50039177399538
963228.03197569317853.96802430682147
972124.0216723917931-3.02167239179312
982124.0996479486467-3.09964794864667
991821.3087515537514-3.30875155375139
1001820.8739217986085-2.87392179860854
1012322.64294070356740.357059296432621
1021920.9696362736129-1.96963627361294
1032020.7535694692373-0.75356946923735
1042123.3854773018757-2.38547730187568
1052024.6983060151162-4.69830601511618
1061719.0767544624798-2.07675446247982
1071819.2263270493602-1.22632704936020
1081920.2782317218098-1.27823172180982
1092221.41637440213750.583625597862532
1101518.3192610550785-3.31926105507852
1111418.8338433259475-4.83384332594752
1121826.2637626300494-8.26376263004936
1132421.35819292913882.64180707086116
1143523.990108112823111.0098918871769
1152919.14201669786559.85798330213452
1162122.8169448164045-1.81694481640451
1172521.21739831770463.78260168229537
1182018.75291049749171.24708950250826
1192221.99433125756460.00566874243537843
1201316.1915736154901-3.19157361549010
1212622.47251173102553.52748826897454
1221716.47085238332310.529147616676901
1232520.17532411772994.82467588227008
1242020.2590370699101-0.259037069910140
1251917.78721984028841.21278015971159
1262122.8012910846120-1.80129108461204
1272220.65348005497531.34651994502468
1282423.65621905702940.343780942970601
1292123.6437625807975-2.64376258079749
1302625.76675946814090.233240531859075
1312419.49266629432364.50733370567641
1321619.5658054227985-3.56580542279853
1332321.41220513237471.58779486762532
1341820.2638880214482-2.26388802144823
1351622.3164910049718-6.31649100497182
1362623.40537790443402.59462209556598
1371918.59964495835550.400355041644462
1382117.21552396164873.78447603835126
1392121.9110543970158-0.911054397015845
1402219.71071754156052.28928245843955
1412320.64373299822082.35626700177922
1422925.04436980910573.95563019089431
1432118.22229009804232.77770990195765
1442119.17344786519291.82655213480712
1452321.01631564657761.98368435342239
1462722.48017416759494.51982583240513
1472525.2934939106875-0.293493910687525
1482120.38766236261640.612337637383651
1491016.7942055000621-6.79420550006212
1502022.9416377770548-2.94163777705485
1512622.2913439055643.70865609443602
1522424.4361869203868-0.436186920386799
1532932.0711518745589-3.07115187455891
1541919.0894519433223-0.08945194332227
1552420.76852781720433.23147218279573
1561919.8445523548884-0.844552354888397
1572422.57478308383001.42521691617004
1582221.29942305372220.700576946277849
1591723.8290187118340-6.82901871183404


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
210.794858074182490.410283851635020.20514192581751
220.6790191086969120.6419617826061760.320980891303088
230.5540982593479530.8918034813040940.445901740652047
240.4565187827483680.9130375654967370.543481217251632
250.3710548760121690.7421097520243380.628945123987831
260.2678750811298910.5357501622597830.732124918870109
270.1882079251919810.3764158503839620.811792074808019
280.1710847831518000.3421695663035990.8289152168482
290.1166580493083680.2333160986167370.883341950691632
300.1147456002329550.229491200465910.885254399767045
310.07548555302067530.1509711060413510.924514446979325
320.0568678185187680.1137356370375360.943132181481232
330.1872345298757250.3744690597514510.812765470124275
340.319743628832250.63948725766450.68025637116775
350.4032385557273620.8064771114547240.596761444272638
360.5251442499172830.9497115001654340.474855750082717
370.4917707023664900.9835414047329790.508229297633510
380.4401375172165260.8802750344330520.559862482783474
390.3779306578979960.7558613157959920.622069342102004
400.4834040587904780.9668081175809570.516595941209522
410.4492798264143090.8985596528286180.550720173585691
420.3999958851906720.7999917703813440.600004114809328
430.3951303028915570.7902606057831150.604869697108443
440.4089417944546620.8178835889093240.591058205545338
450.3595062955676790.7190125911353590.640493704432321
460.3095752416434810.6191504832869610.690424758356519
470.290151500938850.58030300187770.70984849906115
480.4054758437747960.8109516875495920.594524156225204
490.3485481234663190.6970962469326390.651451876533681
500.3367096610080170.6734193220160350.663290338991983
510.3748020660568170.7496041321136330.625197933943183
520.3340350458961820.6680700917923650.665964954103818
530.3977050359576630.7954100719153260.602294964042337
540.3681722047056120.7363444094112240.631827795294388
550.476647609014740.953295218029480.52335239098526
560.52500191413730.94999617172540.4749980858627
570.4938816414226530.9877632828453060.506118358577347
580.4484634700517610.8969269401035220.551536529948239
590.4012764242249260.8025528484498520.598723575775074
600.3579818322088010.7159636644176020.642018167791199
610.3334965306474620.6669930612949250.666503469352538
620.3075711562526910.6151423125053820.69242884374731
630.2855385651867490.5710771303734980.714461434813251
640.3095446922436200.6190893844872410.69045530775638
650.2696785662831260.5393571325662510.730321433716874
660.2653986787700290.5307973575400570.734601321229971
670.3321162202472550.664232440494510.667883779752745
680.3404933111946920.6809866223893840.659506688805308
690.3005355889859910.6010711779719810.69946441101401
700.2743629150291950.5487258300583890.725637084970805
710.3090528863304560.6181057726609120.690947113669544
720.2718506654013510.5437013308027020.728149334598649
730.2326598070201760.4653196140403520.767340192979824
740.2051187535493640.4102375070987270.794881246450636
750.2104995243367180.4209990486734350.789500475663282
760.1895391246072520.3790782492145050.810460875392748
770.1827814670490270.3655629340980540.817218532950973
780.1509984958662490.3019969917324980.849001504133751
790.1234732022252980.2469464044505970.876526797774702
800.1050352799540740.2100705599081470.894964720045926
810.08860353159689840.1772070631937970.911396468403102
820.18551062218060.37102124436120.8144893778194
830.1539351850672220.3078703701344450.846064814932778
840.1336877372254020.2673754744508040.866312262774598
850.1190255991808530.2380511983617050.880974400819147
860.1099530734110560.2199061468221110.890046926588944
870.1499151984165280.2998303968330560.850084801583472
880.1608152040967920.3216304081935850.839184795903208
890.1565827345072910.3131654690145820.843417265492709
900.1602069074435640.3204138148871290.839793092556436
910.2225021053918990.4450042107837970.777497894608101
920.1985221588907170.3970443177814330.801477841109284
930.1874227480915650.3748454961831290.812577251908435
940.1556082685484720.3112165370969430.844391731451528
950.1313789619746250.262757923949250.868621038025375
960.1776206038280380.3552412076560770.822379396171962
970.1674065838209280.3348131676418560.832593416179072
980.1519295144687090.3038590289374180.848070485531291
990.1383610816966340.2767221633932680.861638918303366
1000.1173742959131930.2347485918263860.882625704086807
1010.09953958407241730.1990791681448350.900460415927583
1020.08641270538411760.1728254107682350.913587294615882
1030.08283893062308480.1656778612461700.917161069376915
1040.06792131329496030.1358426265899210.93207868670504
1050.08203834092068790.1640766818413760.917961659079312
1060.07842285629242960.1568457125848590.92157714370757
1070.0747880545629210.1495761091258420.925211945437079
1080.05833687289785550.1166737457957110.941663127102145
1090.05517557745233470.1103511549046690.944824422547665
1100.06575833463747080.1315166692749420.93424166536253
1110.06417703724606620.1283540744921320.935822962753934
1120.3159032389311300.6318064778622610.68409676106887
1130.2910678702393670.5821357404787340.708932129760633
1140.6953091468777930.6093817062444140.304690853122207
1150.9038176118620670.1923647762758650.0961823881379325
1160.8759917005756820.2480165988486360.124008299424318
1170.9100799763454760.1798400473090480.0899200236545238
1180.8827844336556230.2344311326887540.117215566344377
1190.904802403813640.1903951923727210.0951975961863604
1200.9372603762116330.1254792475767330.0627396237883666
1210.9221078705792050.155784258841590.077892129420795
1220.9046507156641490.1906985686717030.0953492843358513
1230.9669436525150630.0661126949698730.0330563474849365
1240.949625863767380.1007482724652410.0503741362326204
1250.929254328787970.1414913424240610.0707456712120305
1260.9075619627374540.1848760745250920.0924380372625458
1270.8855476112346310.2289047775307380.114452388765369
1280.843240457422420.313519085155160.15675954257758
1290.816560579658590.3668788406828210.183439420341410
1300.8051379213459370.3897241573081260.194862078654063
1310.7567058004652420.4865883990695160.243294199534758
1320.7299653953326640.5400692093346720.270034604667336
1330.6385644268538210.7228711462923590.361435573146179
1340.6497418493426050.700516301314790.350258150657395
1350.7379475682646060.5241048634707880.262052431735394
1360.6260367297529650.747926540494070.373963270247035
1370.5953945699748600.8092108600502810.404605430025141
1380.692544113023190.6149117739536190.307455886976809


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 level10.00847457627118644OK