Multiple Linear Regression - Estimated Regression Equation
ParentalCriticism[t] = + 16.601138887406 -1.41670508965093Month[t] + 0.150238793812559DoubtsActions[t] + 0.440939298378178ParentalExpectations[t] + 0.0298388827345439Standards[t] -0.103111653402745`Organization `[t] + 0.000949138149842271t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)16.6011388874069.4432871.7580.0807630.040382
Month-1.416705089650930.948296-1.49390.1372620.068631
DoubtsActions0.1502387938125590.0613722.4480.0155040.007752
ParentalExpectations0.4409392983781780.0531828.291100
Standards0.02983888273454390.0458550.65070.516210.258105
`Organization `-0.1031116534027450.049627-2.07770.0394150.019708
t0.0009491381498422710.0040250.23580.8138930.406947


Multiple Linear Regression - Regression Statistics
Multiple R0.630420955153921
R-squared0.397430580697182
Adjusted R-squared0.373644945724703
F-TEST (value)16.7088488979595
F-TEST (DF numerator)6
F-TEST (DF denominator)152
p-value9.43689570931383e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.14243533599839
Sum Squared Residuals697.684433678052


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1128.84064781139073.15935218860930
286.966297217533141.03370278246686
3810.5684164772692-2.5684164772692
488.26221888637267-0.262218886372668
599.04605470784323-0.046054707843233
678.31636489959075-1.31636489959075
746.96163291152608-2.96163291152608
8117.465589691630383.53441030836962
978.3765271474112-1.37652714741119
1077.87724218560636-0.877242185606358
11128.663042097693153.33695790230685
121010.0143009592033-0.0143009592032610
13106.677796285662823.32220371433718
1487.590381757238480.40961824276152
1587.369122005276530.630877994723465
1647.58284239077288-3.58284239077288
1796.36504852126572.63495147873431
1887.683819627704940.316180372295060
1979.33177577716726-2.33177577716726
201110.67644317453800.32355682546202
2198.078883662828570.921116337171431
221111.3600805713719-0.360080571371874
23138.382811540449264.61718845955074
2487.135135264609150.86486473539085
2586.670426818154861.32957318184514
2698.486380030194350.513619969805654
2768.69724572762584-2.69724572762584
2897.637282972612061.36271702738794
2999.2133560729719-0.213356072971898
3067.83180955051812-1.83180955051812
3165.690087016754970.309912983245029
321611.10631975293204.89368024706796
33511.0642614906392-6.06426149063919
3477.3365935314667-0.3365935314667
3599.89605238978916-0.896052389789164
3667.02495596152595-1.02495596152594
3766.65731886148943-0.657318861489429
3858.40405215375662-3.40405215375662
391210.77790961700531.22209038299473
4078.05995019421785-1.05995019421785
411010.1957144882390-0.195714488239030
4298.373655154898040.626344845101964
4389.2562245955751-1.25622459557510
4459.25743202795408-4.25743202795408
4586.792823052381951.20717694761805
4687.149932473322340.850067526677662
47108.817610982165491.18238901783451
4867.03160798670806-1.03160798670806
4987.648659319003130.351340680996865
50710.6614834310996-3.66148343109959
5145.3026258506591-1.30262585065909
5287.278800755299180.721199244700818
5386.987703190916061.01229680908394
5444.83020679070682-0.830206790706819
552013.10367751469626.89632248530384
5687.45751086433870.542489135661306
5787.273644693325440.726355306674562
5868.31187534215115-2.31187534215115
5944.39766291195563-0.397662911955634
6089.2447869698316-1.24478696983160
6197.273747993448651.72625200655135
6267.96898687719197-1.96898687719197
6378.29890628773413-1.29890628773413
6496.216905043038442.78309495696156
6557.04387293461517-2.04387293461517
6655.94946728881653-0.949467288816528
6786.731698618090621.26830138190938
6888.22329452069033-0.223294520690335
6966.85122326346855-0.851223263468548
7087.171667408778710.828332591221287
7177.32298001040457-0.322980010404573
7276.078077276564240.92192272343576
7398.594360541182180.405639458817822
741111.0095397666120-0.00953976661196645
7568.63969270541552-2.63969270541552
7687.731314942181650.268685057818353
7768.39155082308347-2.39155082308347
7898.665912208123660.334087791876342
7986.417384768481611.58261523151839
8068.37237234724173-2.37237234724173
81108.308479599815521.69152040018448
8286.090040382234931.90995961776507
8388.34642525909655-0.346425259096550
84109.042047106732460.957952893267536
8555.92854636411674-0.928546364116737
8679.3454673507971-2.34546735079711
8757.17051449965076-2.17051449965076
8886.285465301077131.71453469892287
89149.913649045006494.08635095499351
9077.65508622807581-0.655086228075807
9188.829534178024-0.829534178024006
9264.892376147060841.10762385293916
9356.27913123439787-1.27913123439787
9469.23400674288517-3.23400674288517
95106.569339437155993.43066056284401
961211.56125971638290.438740283617103
9799.15195047208361-0.151950472083608
981210.87838703591951.12161296408053
9977.54322856034637-0.543228560346373
10088.34157909749244-0.341579097492441
101109.167377939265870.83262206073413
10267.27543726990533-1.27543726990533
1031011.2088362340758-1.2088362340758
104108.706958347218451.29304165278155
105107.093962598177172.90603740182283
10658.44895823576181-3.44895823576181
10776.931150888587180.0688491114128244
108108.641218905224141.35878109477586
109119.74608733698031.2539126630197
11068.2153464008538-2.2153464008538
11177.49124720019924-0.491247200199236
112128.859750795786243.14024920421376
113116.365604755307084.63439524469292
1141110.82233145533620.177668544663818
115115.465945599067955.53405440093205
11657.63024610145471-2.63024610145471
117810.2449469104578-2.24494691045777
11866.80482294995854-0.804822949958538
11999.4462437582705-0.446243758270487
12046.7755796691547-2.77557966915471
12145.79549010385074-1.79549010385074
12278.35125570969704-1.35125570969704
123119.614175927709031.38582407229097
12464.418313581868911.58168641813109
12577.07416795979127-0.0741679597912713
12689.95732271130627-1.95732271130626
12746.34770760870298-2.34770760870298
12887.093766885332280.906233114667723
12998.177778476600460.822221523399537
13087.709170961941470.290829038058529
131118.803386123760122.19661387623988
13287.514872353822080.48512764617792
13356.76819610572183-1.76819610572183
13445.89716839983827-1.89716839983827
13587.461735255278680.538264744721324
1361011.8424156426398-1.84241564263980
13768.3132015214279-2.31320152142790
13899.38631050343167-0.386310503431667
13997.21113698052291.7888630194771
140138.921123851094794.07887614890521
14197.882444424059941.11755557594006
142109.582691834039040.417308165960961
1432014.85120102417425.14879897582581
14456.06285773606914-1.06285773606914
1451110.43862334265020.561376657349783
14668.15778529610135-2.15778529610135
147910.2085791693770-1.20857916937699
14877.34142533291684-0.341425332916843
14998.17686763318410.823132366815906
150108.486063827803961.51393617219604
15196.986766266608482.01323373339152
152810.2786599686877-2.27865996868767
153711.3667477763246-4.3667477763246
15469.4351535187033-3.4351535187033
1551311.70651722119811.29348277880191
15668.0681076160001-2.06810761600011
15787.778231579920870.221768420079131
158109.539244659107270.460755340892733
1591611.81169626534034.18830373465973


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.8319100672611350.3361798654777290.168089932738864
110.8313060909680180.3373878180639650.168693909031982
120.8321397934778430.3357204130443140.167860206522157
130.9059827983223040.1880344033553910.0940172016776957
140.874792259852050.25041548029590.12520774014795
150.8213360116364880.3573279767270240.178663988363512
160.7861555052614630.4276889894770730.213844494738537
170.7723071609937960.4553856780124090.227692839006204
180.7217280472921550.556543905415690.278271952707845
190.6574439305403860.6851121389192280.342556069459614
200.5867482047705370.8265035904589270.413251795229463
210.5126530258193940.9746939483612110.487346974180606
220.4330837570575290.8661675141150580.566916242942471
230.669122868612590.6617542627748190.330877131387409
240.63647296227790.7270540754442010.363527037722101
250.5721921696352470.8556156607295070.427807830364753
260.5073360965613270.9853278068773450.492663903438673
270.5221753794247990.9556492411504020.477824620575201
280.4648400733213860.9296801466427710.535159926678614
290.3996207972864010.7992415945728020.600379202713599
300.3993597299213990.7987194598427990.6006402700786
310.3382614342402520.6765228684805040.661738565759748
320.588974486582190.822051026835620.41102551341781
330.8236162692557290.3527674614885420.176383730744271
340.7973147382290940.4053705235418120.202685261770906
350.7552498357893730.4895003284212540.244750164210627
360.7404946437772610.5190107124454780.259505356222739
370.6930654386079150.613869122784170.306934561392085
380.8372783043349940.3254433913300120.162721695665006
390.8452694320073870.3094611359852250.154730567992613
400.8127144728327810.3745710543344370.187285527167219
410.7744903619272600.4510192761454810.225509638072740
420.7468402660118720.5063194679762550.253159733988128
430.7166112134155920.5667775731688170.283388786584408
440.780220806896130.4395583862077390.219779193103869
450.7656239685223750.468752062955250.234376031477625
460.7292090702933840.5415818594132310.270790929706616
470.6969218314217570.6061563371564860.303078168578243
480.6563663165726640.6872673668546730.343633683427336
490.6160036338660880.7679927322678240.383996366133912
500.6638918058496510.6722163883006970.336108194150349
510.6522873333149660.6954253333700680.347712666685034
520.618018353134450.76396329373110.38198164686555
530.580188696779340.839622606441320.41981130322066
540.5369875320238030.9260249359523940.463012467976197
550.9449513326092930.1100973347814140.0550486673907069
560.9310626784471820.1378746431056350.0689373215528176
570.9163046457833910.1673907084332180.0836953542166089
580.9149714513079350.1700570973841290.0850285486920645
590.894864332940340.2102713341193210.105135667059660
600.8793580645156120.2412838709687760.120641935484388
610.8731859401772560.2536281196454890.126814059822744
620.8647096944240780.2705806111518440.135290305575922
630.8454593773069580.3090812453860850.154540622693042
640.8673724408419570.2652551183160870.132627559158044
650.8608558405302920.2782883189394150.139144159469708
660.8384932795808110.3230134408383780.161506720419189
670.8214006735318260.3571986529363480.178599326468174
680.7904808485502780.4190383028994440.209519151449722
690.7594803338236190.4810393323527620.240519666176381
700.72880490288040.54239019423920.2711950971196
710.6886035908177110.6227928183645780.311396409182289
720.6551103114125550.689779377174890.344889688587445
730.6138556194060480.7722887611879040.386144380593952
740.5679460470245030.8641079059509940.432053952975497
750.5864297763459930.8271404473080150.413570223654007
760.5414267606405960.9171464787188080.458573239359404
770.5477063917609910.9045872164780180.452293608239009
780.5031357283597860.9937285432804270.496864271640214
790.4807282011163660.9614564022327330.519271798883634
800.488321224729920.976642449459840.51167877527008
810.4696414314768570.9392828629537150.530358568523142
820.458844661213060.917689322426120.54115533878694
830.4131132298285740.8262264596571470.586886770171426
840.3783297383534520.7566594767069040.621670261646548
850.3427969459691380.6855938919382760.657203054030862
860.3477975075778290.6955950151556580.652202492422171
870.3527505110873530.7055010221747060.647249488912647
880.3326373442387460.6652746884774920.667362655761254
890.4466132814621120.8932265629242250.553386718537888
900.4032767585743490.8065535171486980.596723241425651
910.3634613498912060.7269226997824130.636538650108794
920.3308940236033860.6617880472067720.669105976396614
930.3013306869384950.6026613738769910.698669313061505
940.352474204593940.704948409187880.64752579540606
950.4173952046295040.8347904092590080.582604795370496
960.3751620507243420.7503241014486840.624837949275658
970.3303707785220820.6607415570441640.669629221477918
980.2990195224423740.5980390448847470.700980477557626
990.2598976774958760.5197953549917510.740102322504125
1000.2226457251048750.4452914502097490.777354274895125
1010.1929506242959370.3859012485918740.807049375704063
1020.1709232624077250.3418465248154490.829076737592275
1030.1527913597432010.3055827194864030.847208640256799
1040.1333223572993930.2666447145987860.866677642700607
1050.1617638536582370.3235277073164740.838236146341763
1060.2077749276707880.4155498553415760.792225072329212
1070.1755455632283390.3510911264566780.82445443677166
1080.1560774295181010.3121548590362030.843922570481899
1090.1363875274819290.2727750549638590.86361247251807
1100.1338625326548050.267725065309610.866137467345195
1110.1097769086049950.2195538172099900.890223091395005
1120.1441995143425410.2883990286850830.855800485657459
1130.2710509590666050.5421019181332110.728949040933395
1140.2315775244645180.4631550489290360.768422475535482
1150.5852876141010310.8294247717979380.414712385898969
1160.574097852885310.851804294229380.42590214711469
1170.5706483700205710.8587032599588590.429351629979429
1180.519809933553040.960380132893920.48019006644696
1190.4647202899699020.9294405799398050.535279710030098
1200.5515038224933420.8969923550133160.448496177506658
1210.5225278002323450.9549443995353110.477472199767655
1220.5370470876616330.9259058246767330.462952912338367
1230.4888013198953050.977602639790610.511198680104695
1240.4973468144137190.9946936288274380.502653185586281
1250.4387770001743390.8775540003486770.561222999825661
1260.4439773973442260.8879547946884520.556022602655774
1270.4340714173520190.8681428347040380.565928582647981
1280.3977354412737980.7954708825475950.602264558726202
1290.356646308102530.713292616205060.64335369189747
1300.3083461821849520.6166923643699040.691653817815048
1310.2990218698924560.5980437397849120.700978130107544
1320.2471135445567710.4942270891135420.752886455443229
1330.2036768100539440.4073536201078880.796323189946056
1340.1719572874657220.3439145749314440.828042712534278
1350.1349425771846510.2698851543693020.865057422815349
1360.1276625290117250.2553250580234490.872337470988276
1370.1689740021300010.3379480042600030.831025997869999
1380.1754544231869290.3509088463738580.82454557681307
1390.1564498125704180.3128996251408370.843550187429582
1400.1881285591895930.3762571183791850.811871440810407
1410.1385965674204540.2771931348409080.861403432579546
1420.104487832738710.208975665477420.89551216726129
1430.1686169121708350.337233824341670.831383087829165
1440.1189959633532940.2379919267065880.881004036646706
1450.09140861326331480.1828172265266300.908591386736685
1460.05788526393063280.1157705278612660.942114736069367
1470.0337956032000560.0675912064001120.966204396799944
1480.01674489870674780.03348979741349570.983255101293252
1490.00737298239011370.01474596478022740.992627017609886


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