Multiple Linear Regression - Estimated Regression Equation
ParentalCriticism[t] = + 2.77548963490739 -0.0986398562189426Organization[t] + 0.0438195865695189ConcernOverMistakes[t] + 0.110456538155872DoubtsAboutActions[t] + 0.421047435532671ParentalExpectations[t] + 0.00840042269626758PersonalStandards[t] -0.00117382973676924t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.775489634907391.5351931.80790.0725980.036299
Organization-0.09863985621894260.049996-1.9730.0503130.025157
ConcernOverMistakes0.04381958656951890.0387021.13220.259320.12966
DoubtsAboutActions0.1104565381558720.0694561.59030.113840.05692
ParentalExpectations0.4210474355326710.054737.693100
PersonalStandards0.008400422696267580.0510290.16460.8694620.434731
t-0.001173829736769240.00384-0.30570.7602650.380132


Multiple Linear Regression - Regression Statistics
Multiple R0.627452204404761
R-squared0.393696268812394
Adjusted R-squared0.369763226791831
F-TEST (value)16.4499050506880
F-TEST (DF numerator)6
F-TEST (DF denominator)152
p-value1.47659662275146e-14
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.14906375448968
Sum Squared Residuals702.008203170918


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1127.640873090898474.35912690910153
285.972279482486112.02772051751389
389.12346302578399-1.12346302578399
486.986391025602221.01360897439778
597.805246607271881.19475339272812
676.950948118518390.0490518814816109
747.1237658924916-3.12376589249160
8117.435528834115863.56447116588414
978.3462819114336-1.34628191143361
1077.90773536200888-0.907735362008876
11128.893278574360043.10672142563996
121010.5223193208330-0.522319320833031
13107.239183939161952.76081606083805
1487.738570309897260.261429690102736
1587.284852583170010.715147416829988
1647.50497652223568-3.50497652223568
1796.671293785478122.32870621452188
1887.860756237415110.139243762584893
1979.48849006066479-2.48849006066479
201111.0350307597-0.035030759699995
2198.344110652426050.655889347573946
221111.7893015263869-0.789301526386893
23138.645646860413124.35435313958688
2487.745081709886060.254918290113943
2586.831352226677941.16864777332206
2698.471300457860250.528699542139747
2768.77266235794997-2.77266235794997
2897.922810707539771.07718929246023
2999.36924074067081-0.369240740670812
3067.8690258260959-1.8690258260959
3166.0342180291461-0.0342180291461004
321611.03062963849914.9693703615009
33511.1380331099549-6.13803310995495
3477.57010774054122-0.570107740541224
3599.76982740006942-0.769827400069425
3667.37116606139553-1.37116606139553
3767.24768812962843-1.24768812962843
3858.0931429162197-3.09314291621970
391211.10140434153530.898595658464721
4078.17696935909318-1.17696935909318
411010.3825913035209-0.382591303520850
4298.520286505723740.479713494276262
4389.37477279105215-1.37477279105215
4459.14093578446795-4.14093578446795
4586.863793062095851.13620693790415
4687.03779956274040.962200437259593
47108.82161805958741.17838194041260
4867.40246759533877-1.40246759533877
4988.08716847064352-0.0871684706435167
50710.5674201642144-3.56742016421436
5145.55332853005648-1.55332853005648
5287.358933444008620.641066555991385
5387.152895477994720.847104522005282
5444.93091076445874-0.93091076445874
552013.20588373787196.79411626212815
5687.678622957235270.321377042764734
5787.384881724583230.615118275416773
5868.26219019245464-2.26219019245464
5944.37548986027952-0.375489860279517
6088.98836701518195-0.988367015181952
6197.231110801678031.76888919832197
6268.03535914812683-2.03535914812683
6378.19394723221966-1.19394723221966
6496.127685165748992.87231483425101
6556.76436507832407-1.76436507832407
6656.27445113932131-1.27445113932131
6787.387877072368550.61212292763145
6888.15134129515693-0.151341295156930
6966.42889263930453-0.428892639304534
7087.1602711572310.839728842768993
7177.85324929629094-0.853249296290936
7276.214773985463680.78522601453632
7398.976383188708420.0236168112915778
741111.1195891858071-0.119589185807133
7568.88059619378321-2.88059619378321
7687.947835147290180.0521648527098195
7767.98518003783487-1.98518003783487
7898.64173753879040.358262461209604
7986.383935935385461.61606406461454
8068.63710399214164-2.63710399214164
81108.255002562930171.74499743706983
8286.34042009868231.65957990131770
8388.38689939892296-0.386899398922961
84109.016344960330920.98365503966908
8556.09466753014214-1.09466753014214
8679.34718438841318-2.34718438841318
8757.18071937903479-2.18071937903479
8885.997958762255532.00204123774447
891410.01693921465713.98306078534287
9077.73092191660853-0.730921916608532
9189.0244866478904-1.02448664789040
9264.818606821834991.18139317816501
9356.24597618680964-1.24597618680964
9469.2614696336683-3.26146963366831
95106.635311347707563.36468865229244
961211.67194795616550.328052043834517
9799.39241651319525-0.392416513195247
981211.05098306285830.949016937141722
9977.618301333518-0.618301333518005
10088.47736994961622-0.477369949616221
101109.206832978557760.793167021442236
10267.22698884441415-1.22698884441415
1031011.1147577763564-1.11475777635639
104108.647859778576641.35214022142336
105107.145453952263152.85454604773685
10658.58767601464181-3.58767601464181
10777.13855788441745-0.138557884417447
108108.848121794277271.15187820572273
109119.718507243729871.28149275627013
11068.04483145596506-2.04483145596506
11177.3945193407566-0.394519340756603
112129.275231461383662.72476853861634
113116.464950437984944.53504956201506
1141110.70634955448020.293650445519819
115115.040889772657275.95911022734273
11657.50676006509314-2.50676006509314
117810.1203219138584-2.12032191385837
11866.6802107229245-0.680210722924503
11999.41084937770535-0.410849377705347
12046.92131056606663-2.92131056606663
12146.11491236900386-2.11491236900386
12278.0779172514349-1.07791725143491
123119.372048412700561.62795158729944
12464.399177512985571.60082248701443
12576.732454935766410.267545064233594
12689.78449932682077-1.78449932682077
12746.19528646751742-2.19528646751742
12886.985148753583181.01485124641682
12998.023820251060710.976179748939288
13087.999266035592480.000733964407517163
131118.70048015832882.29951984167121
13287.431305347103530.568694652896472
13356.61850734618277-1.61850734618277
13445.87487997583076-1.87487997583076
13587.56005861645880.439941383541198
1361011.6603759014802-1.66037590148023
13768.07874264848995-2.07874264848995
13899.09543955505511-0.0954395550551145
13997.10253413218431.8974658678157
140138.768900054741234.23109994525876
14198.072637428033690.92736257196631
142109.638118821607260.361881178392735
1432014.50084236161635.49915763838367
14455.93990191920628-0.939901919206278
1451110.14236992631490.857630073685106
14668.13315976875305-2.13315976875305
147910.4491123939624-1.44911239396242
14877.30739695176091-0.307396951760907
14998.150066555152390.849933444847613
150108.536973811172281.46302618882772
15196.92768478728232.07231521271769
152810.1623331133375-2.16233311333747
153711.7011124685665-4.70111246856651
15469.42345345743635-3.42345345743635
1551311.33472140779811.66527859220190
15667.89320172361206-1.89320172361206
15787.830313710678530.169686289321474
158109.32043443254480.679565567455197
1591611.88447383748864.11552616251145


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.7990464188296320.4019071623407360.200953581170368
110.9198772223625980.1602455552748040.0801227776374018
120.8968527926414020.2062944147171960.103147207358598
130.8816606691416530.2366786617166950.118339330858347
140.8190702945709140.3618594108581730.180929705429086
150.7801158074892140.4397683850215720.219884192510786
160.7312411908105190.5375176183789630.268758809189481
170.694895872268820.610208255462360.30510412773118
180.6124836677222770.7750326645554460.387516332277723
190.5408407070255740.9183185859488530.459159292974426
200.456480547262040.912961094524080.54351945273796
210.3797061638821320.7594123277642640.620293836117868
220.3075732208961020.6151464417922050.692426779103898
230.6139655693243330.7720688613513350.386034430675667
240.6013229648629710.7973540702740580.398677035137029
250.5485601104659150.902879779068170.451439889534085
260.5145966875030980.9708066249938030.485403312496902
270.4999349999174080.9998699998348160.500065000082592
280.4474527936761210.8949055873522420.552547206323879
290.3880625409139240.7761250818278470.611937459086076
300.3510380798929990.7020761597859970.648961920107001
310.2971668593489690.5943337186979370.702833140651032
320.665634554773520.6687308904529610.334365445226481
330.8520520907687740.2958958184624530.147947909231226
340.8229869831782550.354026033643490.177013016821745
350.790468369538770.4190632609224590.209531630461230
360.7769540974861490.4460918050277020.223045902513851
370.7345289010534370.5309421978931250.265471098946562
380.7818121230851010.4363757538297980.218187876914899
390.7784488409321340.4431023181357310.221551159067866
400.738391619222670.5232167615546590.261608380777330
410.6917998201557110.6164003596885780.308200179844289
420.6693229624372020.6613540751255950.330677037562798
430.6240418717096070.7519162565807860.375958128290393
440.6677775214879470.6644449570241060.332222478512053
450.6713767940030630.6572464119938730.328623205996937
460.6463806371517570.7072387256964860.353619362848243
470.6194598559081420.7610802881837160.380540144091858
480.578384812093540.843230375812920.42161518790646
490.5285361303914070.9429277392171860.471463869608593
500.5537469870577940.8925060258844130.446253012942206
510.5347824357012510.9304351285974990.465217564298749
520.5042978127845580.9914043744308850.495702187215442
530.4634190655503350.926838131100670.536580934449665
540.4152385623800960.8304771247601910.584761437619904
550.9096136336985360.1807727326029280.090386366301464
560.8891564738442520.2216870523114960.110843526155748
570.8698964891419920.2602070217160160.130103510858008
580.8610376424018870.2779247151962250.138962357598113
590.8340494511351690.3319010977296610.165950548864831
600.8036973768946250.392605246210750.196302623105375
610.8065367374401840.3869265251196310.193463262559816
620.7940815796119220.4118368407761560.205918420388078
630.7654724499552250.469055100089550.234527550044775
640.8198184820661050.360363035867790.180181517933895
650.80298013011220.3940397397756010.197019869887800
660.777872863111020.444254273777960.22212713688898
670.7487136642152910.5025726715694180.251286335784709
680.7173608037762620.5652783924474760.282639196223738
690.6828421840137720.6343156319724560.317157815986228
700.6525486943078520.6949026113842960.347451305692148
710.6168609528269370.7662780943461250.383139047173063
720.5814433476819240.8371133046361520.418556652318076
730.5354561807641970.9290876384716070.464543819235803
740.4884199711343410.9768399422686820.511580028865659
750.5132303498930920.9735393002138150.486769650106908
760.4673161497803440.9346322995606890.532683850219656
770.465504383598340.931008767196680.53449561640166
780.4238457025252230.8476914050504460.576154297474777
790.4061511913360140.8123023826720270.593848808663986
800.4142332323471350.828466464694270.585766767652865
810.4027622657694880.8055245315389770.597237734230512
820.3893237567564770.7786475135129530.610676243243523
830.3453261382134600.6906522764269190.65467386178654
840.3174210560288620.6348421120577230.682578943971138
850.2862822875236070.5725645750472150.713717712476392
860.2909032284305110.5818064568610220.709096771569489
870.2931425486037820.5862850972075650.706857451396218
880.2858415100967170.5716830201934350.714158489903283
890.4036009360226270.8072018720452540.596399063977373
900.3610355478283960.7220710956567930.638964452171604
910.3253548886827700.6507097773655390.67464511131723
920.2978259828466740.5956519656933470.702174017153326
930.2687585215614860.5375170431229730.731241478438514
940.3151047012390630.6302094024781260.684895298760937
950.3784395782178250.7568791564356490.621560421782176
960.3370623468791230.6741246937582460.662937653120877
970.2950751901590460.5901503803180930.704924809840954
980.2666511462400890.5333022924801780.733348853759911
990.2293875880511660.4587751761023310.770612411948834
1000.1943269121484980.3886538242969950.805673087851502
1010.1689879833266420.3379759666532830.831012016673358
1020.1481486359852620.2962972719705250.851851364014738
1030.1315778877193090.2631557754386170.868422112280691
1040.1159156534488840.2318313068977670.884084346551116
1050.1444610592388310.2889221184776620.855538940761169
1060.1804414304770570.3608828609541140.819558569522943
1070.1501027668044740.3002055336089470.849897233195526
1080.1337744957623520.2675489915247040.866225504237648
1090.1191464299914420.2382928599828840.880853570008558
1100.1144279749693770.2288559499387550.885572025030623
1110.0930119326400090.1860238652800180.906988067359991
1120.1520864310772020.3041728621544050.847913568922798
1130.3399359455928610.6798718911857220.660064054407139
1140.2996171670111990.5992343340223990.700382832988801
1150.6019273176758460.7961453646483090.398072682324154
1160.5875554271468180.8248891457063650.412444572853182
1170.5838679999605350.832264000078930.416132000039465
1180.5328663412224450.934267317555110.467133658777555
1190.4770075368533170.9540150737066350.522992463146683
1200.536174861387870.927650277224260.46382513861213
1210.5065161958341580.9869676083316850.493483804165842
1220.5211138294381660.9577723411236680.478886170561834
1230.4785609205576430.9571218411152860.521439079442357
1240.4887370864024490.9774741728048980.511262913597551
1250.4322360538704390.8644721077408770.567763946129561
1260.4359216809863550.871843361972710.564078319013645
1270.427565337316770.855130674633540.57243466268323
1280.389591665002540.779183330005080.61040833499746
1290.3474508544482230.6949017088964460.652549145551777
1300.3079324404298950.6158648808597890.692067559570105
1310.3023342395649920.6046684791299850.697665760435008
1320.2509259514238220.5018519028476450.749074048576178
1330.2064467319517340.4128934639034680.793553268048266
1340.174525309388330.349050618776660.82547469061167
1350.1416406855430750.2832813710861500.858359314456925
1360.1349440145705050.2698880291410110.865055985429495
1370.1876902429366500.3753804858733010.81230975706335
1380.2241529000292980.4483058000585970.775847099970702
1390.1939835328387320.3879670656774640.806016467161268
1400.2224859554286660.4449719108573330.777514044571334
1410.1784128368107780.3568256736215570.821587163189222
1420.1463712843971670.2927425687943350.853628715602833
1430.2089848443717770.4179696887435550.791015155628223
1440.1522612639751500.3045225279503010.84773873602485
1450.1034539926652410.2069079853304810.89654600733476
1460.0674123087061250.134824617412250.932587691293875
1470.04439778659565030.08879557319130070.95560221340435
1480.0223904261114250.044780852222850.977609573888575
1490.01017778783342010.02035557566684020.98982221216658


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0142857142857143OK
10% type I error level30.0214285714285714OK