Multiple Linear Regression - Estimated Regression Equation
ParentalExpectations[t] = + 6.4398361021299 + 0.752008775996732ParentalCriticism[t] + 0.00286466829855502t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.43983610212990.7885988.166200
ParentalCriticism0.7520087759967320.0821029.159400
t0.002864668298555020.0048270.59350.5537360.276868


Multiple Linear Regression - Regression Statistics
Multiple R0.594441332727225
R-squared0.353360498054519
Adjusted R-squared0.345070248029577
F-TEST (value)42.6236237738787
F-TEST (DF numerator)2
F-TEST (DF denominator)156
p-value1.66533453693773e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.78835056709640
Sum Squared Residuals1212.88422606418


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11115.4668060823893-4.46680608238925
2712.4616356467009-5.46163564670087
31712.46450031499944.53549968500058
41012.4673649832980-2.46736498329798
51213.2222384275933-1.22223842759327
61211.72108554389840.278914456101642
7119.467923884206721.53207611579328
81114.7348499844824-3.73484998448239
91211.72967954879400.270320451205977
101311.73254421709261.26745578290742
111415.4954527653748-1.49545276537479
121613.99429988167992.00570011832012
131113.9971645499784-2.99716454997844
141012.4960116662835-2.49601166628353
151112.4988763345821-1.49887633458209
16159.493705898893715.50629410110629
17913.2566144471759-4.25661444717593
181112.5074703394778-1.50747033947775
191711.75832623177965.24167376822043
201714.76922600406512.23077399593495
211113.2680731203701-2.26807312037015
221814.77495534066223.22504465933784
231416.2818375609542-2.28183756095418
241012.5246583492691-2.52465834926908
251112.5275230175676-1.52752301756764
261513.28239646186291.71760353813708
271511.02923480217133.97076519782872
281313.2881257984600-0.288125798460032
291613.29099046675862.70900953324141
301311.03782880706691.96217119293305
31911.0406934753655-2.04069347536550
321818.5636459036314-0.563645903631373
331810.29441403596597.70558596403412
341211.80129625625790.198703743742101
351713.30817847654993.69182152345008
36911.0550168168583-2.05501681685828
37911.0578814851568-2.05788148515683
381210.30873737745871.69126262254134
391815.57566347773432.42433652226567
401211.81848426604920.181515733950771
411814.07737526233803.92262473766202
421413.32823115463980.671768845360198
431512.57908704694162.42091295305837
441610.32592538725005.67407461275001
451012.5848163835387-2.58481638353874
461112.5876810518373-1.58768105183729
471414.0945632721293-0.0945632721293087
48911.0893928364409-2.08939283644094
491212.5962750567330-0.596275056732956
501711.84713094903485.15286905096522
5159.59396928934314-4.59396928934314
521212.6048690616286-0.604869061628621
531212.6077337299272-0.607733729927176
5469.6025632942388-3.60256329423881
552421.63756837848512.36243162151494
561212.6163277348228-0.616327734822841
571212.6191924031214-0.619192403121396
581411.11803951942652.88196048057351
5979.61688663573158-2.61688663573158
601312.62778640801710.372213591982939
611213.3826598523123-1.38265985231235
621311.12949819262071.87050180737929
631411.8843716369162.11562836308401
64813.3912538572080-5.39125385720801
651110.38608342151960.613916578480359
66910.3889480898182-1.38894808981820
671112.6478390861069-1.64783908610695
681312.65070375440550.349296245594499
691011.1495508707106-1.14955087071059
701112.6564330910026-1.65643309100261
711211.90728898330440.0927110166955656
72911.910153651603-2.91015365160299
731513.4170358718951.58296412810499
741814.92391809218703.07608190781297
751511.16673888050193.83326111949808
761212.6736211007939-0.673621100793941
771311.17246821709901.82753178290097
781413.43135921338780.568640786612217
791012.6822151056896-2.68221510568961
801311.18106222199471.81893777800530
811314.1919619942802-1.19196199428018
821112.6908091105853-1.69080911058527
831312.69367377888380.306326221116174
841614.20055599917581.79944400082416
85810.4433767874907-2.44337678749074
861611.95025900778284.04974099221724
871110.44910612408790.550893875912148
88912.7079971203766-3.7079971203766
891617.2229144446555-1.22291444465555
901211.96171768097700.0382823190230201
911412.71659112527231.28340887472773
92811.2154382415774-3.21543824157736
93910.4662941338792-1.46629413387918
941511.22116757817453.77883242182553
951114.2320673504599-3.23206735045995
962115.73894957075205.26105042924803
971413.48578791106030.514212088939672
981815.74467890734912.25532109265092
991211.98749969566400.0125003043360250
1001312.74237313995930.257626860040738
1011514.24925536025130.75074463974872
1021211.24408492456290.755915075437091
1031914.25498469684844.74501530315161
1041514.25784936514690.742150634853055
1051114.2607140334455-3.2607140334455
1061110.50353482176040.496465178239603
1071012.0104170420524-2.01041704205242
1081314.2693080383412-1.26930803834117
1091515.0241814826365-0.0241814826364516
1101211.26700227095130.732997729048651
1111212.0218757152466-0.0218757152466351
1121615.78478426352880.215215736471152
113915.0356401558307-6.03564015583067
1141815.03850482412922.96149517587077
115815.0413694924278-7.04136949242778
1161310.53218150474592.46781849525405
1171712.79107250103474.2089274989653
118911.2899196173398-2.28991961733979
1191513.54881061362851.45118938637146
12089.79163140194344-1.79163140194344
12179.794496070242-2.79449607024199
1221212.0533870665307-0.0533870665307405
1231415.0642868388162-1.06428683881622
124611.3071076271311-5.30710762713112
125812.0619810714264-4.06198107142641
1261712.81685451572174.18314548427831
127109.811684080033320.188315919966678
1281112.8225838523188-1.82258385231880
1291413.57745729661410.422542703385911
1301112.8283131889159-1.82831318891591
1311315.0872041852047-2.08720418520466
1321212.8340425255130-0.834042525513022
1331110.58088086582140.419119134178617
13499.8317367581232-0.831736758123207
1351212.8426365304087-0.842636530408687
1362014.34951875070075.65048124929929
1371211.34434831501230.655651684987666
1381313.6032393113011-0.603239311301084
1391213.6061039795996-1.60610397959964
1401216.6170037518851-4.61700375188512
141913.6118333161967-4.61183331619675
1421514.36670676049200.633293239507964
1432421.88965918875792.11034081124209
144710.6123922171055-3.61239221710549
1451715.12730954138441.87269045861557
1461111.3701303296993-0.370130329699329
1471713.62902132598813.37097867401192
1481112.1278684422932-1.12786844229317
1491213.6347506625852-1.63475066258519
1501414.3896241068805-0.389624106880476
1511113.6404799991823-2.6404799991823
1521612.89133589148413.10866410851588
1532112.14219178378598.85780821621406
1541411.39304767608782.60695232391223
1552016.65997377636343.34002622363655
1561311.39877701268491.60122298731512
1571112.9056592329769-1.90565923297690
1581514.41254145326890.587458546731084
1591918.92745877754790.0725412224521393


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
60.9132747720680440.1734504558639120.086725227931956
70.8434570231791910.3130859536416170.156542976820809
80.7811905570494510.4376188859010980.218809442950549
90.679699591603120.640600816793760.32030040839688
100.5794668759136520.8410662481726960.420533124086348
110.4846772979125780.9693545958251560.515322702087422
120.44332634697050.8866526939410.5566736530295
130.4655242690686090.9310485381372170.534475730931391
140.4842807181621990.9685614363243990.515719281837801
150.4223000630279360.8446001260558720.577699936972064
160.4344225625943250.868845125188650.565577437405675
170.5118642432410830.9762715135178330.488135756758917
180.4494093950259030.8988187900518070.550590604974097
190.5745125329341010.8509749341317990.425487467065899
200.6079889589805750.784022082038850.392011041019425
210.6066144005428680.7867711989142640.393385599457132
220.6551365150055990.6897269699888020.344863484994401
230.6064008707273820.7871982585452360.393599129272618
240.6672796144466590.6654407711066820.332720385553341
250.6546505203229630.6906989593540730.345349479677037
260.6059043142988050.788191371402390.394095685701195
270.5751786975614990.8496426048770020.424821302438501
280.5228154514355060.9543690971289870.477184548564494
290.4878236606306020.9756473212612040.512176339369398
300.4386056064096580.8772112128193160.561394393590342
310.5270256806803140.9459486386393730.472974319319687
320.4939357859322740.9878715718645480.506064214067726
330.6453074938949590.7093850122100810.354692506105041
340.624189859789340.751620280421320.37581014021066
350.6121428825931380.7757142348137240.387857117406862
360.700790321820780.598419356358440.29920967817922
370.7509849232405250.4980301535189490.249015076759475
380.7148167870363560.5703664259272880.285183212963644
390.6980828772485770.6038342455028450.301917122751423
400.665365878669410.669268242661180.33463412133059
410.6766807983187160.6466384033625680.323319201681284
420.6331807092897130.7336385814205750.366819290710287
430.596169960381280.807660079237440.40383003961872
440.6486598376007580.7026803247984840.351340162399242
450.709485330014550.5810293399709010.290514669985450
460.7164047272989290.5671905454021430.283595272701071
470.6772309519936390.6455380960127230.322769048006361
480.7117688025311270.5764623949377470.288231197468873
490.6827813649777140.6344372700445710.317218635022286
500.7394209426290380.5211581147419250.260579057370962
510.8672806104841490.2654387790317020.132719389515851
520.8458833287408970.3082333425182060.154116671259103
530.8216671820983890.3566656358032230.178332817901611
540.8665096381173730.2669807237652540.133490361882627
550.8643601319431850.271279736113630.135639868056815
560.8414224770305120.3171550459389760.158577522969488
570.8156711926496490.3686576147007030.184328807350351
580.8090749691348970.3818500617302050.190925030865103
590.8164555108125960.3670889783748070.183544489187404
600.7842965872597190.4314068254805630.215703412740281
610.7608236984365760.4783526031268480.239176301563424
620.7365297843239810.5269404313520370.263470215676019
630.7156915804072410.5686168391855170.284308419592759
640.8176598590522670.3646802818954670.182340140947733
650.7871256456582680.4257487086834640.212874354341732
660.763527055900530.4729458881989390.236472944099469
670.7402712766751960.5194574466496070.259728723324804
680.7018509973683050.596298005263390.298149002631695
690.6686178840148820.6627642319702360.331382115985118
700.6407732144833450.7184535710333110.359226785516655
710.596799007176270.806401985647460.40320099282373
720.5994312465534420.8011375068931150.400568753446558
730.5693919065278710.8612161869442580.430608093472129
740.5786118744191670.8427762511616670.421388125580833
750.6151142440885060.7697715118229890.384885755911494
760.5736419503050860.8527160993898280.426358049694914
770.5480856128664520.9038287742670960.451914387133548
780.5047709317623590.9904581364752830.495229068237641
790.5004973155931990.9990053688136030.499502684406801
800.4754032693077780.9508065386155560.524596730692222
810.4374056975970920.8748113951941840.562594302402908
820.4079073228036160.8158146456072310.592092677196384
830.3648881533766160.7297763067532320.635111846623384
840.3411406498357840.6822812996715690.658859350164216
850.3299122024564490.6598244049128990.67008779754355
860.3804830569270350.760966113854070.619516943072965
870.3419756296217030.6839512592434050.658024370378297
880.3680429696927410.7360859393854830.631957030307259
890.3323469859724410.6646939719448810.667653014027559
900.2919375836584990.5838751673169980.708062416341501
910.263245652010750.52649130402150.73675434798925
920.2700812390927810.5401624781855620.729918760907219
930.2410989052576320.4821978105152630.758901094742368
940.2775403173316900.5550806346633810.72245968266831
950.2849194417421650.569838883484330.715080558257835
960.3973842172262520.7947684344525030.602615782773748
970.3564934940286880.7129869880573770.643506505971312
980.3477475326725280.6954950653450560.652252467327472
990.3073757782750850.6147515565501710.692624221724914
1000.270353124563010.540706249126020.72964687543699
1010.2397462691455270.4794925382910540.760253730854473
1020.2126713689061930.4253427378123870.787328631093807
1030.3146144119293740.6292288238587490.685385588070626
1040.2891078831518620.5782157663037250.710892116848138
1050.2846610064911030.5693220129822060.715338993508897
1060.2562692047650590.5125384095301180.743730795234941
1070.2290307009882250.4580614019764510.770969299011775
1080.1971063829981350.394212765996270.802893617001865
1090.1689563342187390.3379126684374780.83104366578126
1100.1505063913974060.3010127827948120.849493608602594
1110.1282103020217220.2564206040434430.871789697978278
1120.1100125668991490.2200251337982970.889987433100851
1130.1733102185111860.3466204370223720.826689781488814
1140.2032231265935660.4064462531871310.796776873406434
1150.3651546416519620.7303092833039240.634845358348038
1160.3851144917838280.7702289835676550.614885508216172
1170.5161541301556930.9676917396886150.483845869844307
1180.4760055783734730.9520111567469450.523994421626527
1190.4745388073954280.9490776147908550.525461192604572
1200.428551728063910.857103456127820.57144827193609
1210.395619669266650.79123933853330.60438033073335
1220.3554298923503020.7108597847006040.644570107649698
1230.3074667060762440.6149334121524880.692533293923756
1240.3718017505712310.7436035011424630.628198249428769
1250.3921205431418010.7842410862836030.607879456858199
1260.51272628174620.97454743650760.4872737182538
1270.4667021796299540.9334043592599080.533297820370046
1280.4140939455985250.828187891197050.585906054401475
1290.3719164678951180.7438329357902370.628083532104882
1300.3218225237682040.6436450475364070.678177476231796
1310.2794546578362960.5589093156725920.720545342163704
1320.2301898749500540.4603797499001080.769810125049946
1330.1922130500702260.3844261001404520.807786949929774
1340.1522311705646990.3044623411293970.847768829435301
1350.1177688873058600.2355377746117210.88223111269414
1360.3032519686097390.6065039372194780.696748031390261
1370.2825996646592450.565199329318490.717400335340755
1380.2363082871181050.472616574236210.763691712881895
1390.1870639045318050.3741278090636110.812936095468195
1400.2140579865394240.4281159730788490.785942013460576
1410.2764757661554710.5529515323109420.723524233844529
1420.2179347408706870.4358694817413750.782065259129313
1430.1836866716968590.3673733433937190.81631332830314
1440.2313829774316230.4627659548632460.768617022568377
1450.1917647621258600.3835295242517190.80823523787414
1460.1472957242087390.2945914484174790.85270427579126
1470.1522079425353660.3044158850707320.847792057464634
1480.1164629890573310.2329259781146630.883537010942669
1490.1020581680828890.2041163361657780.897941831917111
1500.08139010870071670.1627802174014330.918609891299283
1510.4883957344830360.9767914689660720.511604265516964
1520.6311718983044430.7376562033911140.368828101695557
1530.859329496103660.2813410077926800.140670503896340


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 level00OK