Multiple Linear Regression - Estimated Regression Equation
ParentalExpectations[t] = + 5.10714357111745 -0.00142234580182886Depression[t] + 0.691744367954341ParentalCriticism[t] + 0.0961766747674232ConcernOverMistakes[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)5.107143571117451.3757483.71230.0002860.000143
Depression-0.001422345801828860.069907-0.02030.9837930.491897
ParentalCriticism0.6917443679543410.0850468.133800
ConcernOverMistakes0.09617667476742320.0403842.38160.0184530.009226


Multiple Linear Regression - Regression Statistics
Multiple R0.612364119037733
R-squared0.374989814284858
Adjusted R-squared0.362892842948436
F-TEST (value)30.9986527913662
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value8.88178419700125e-16
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.75014920716009
Sum Squared Residuals1172.31470255471


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11115.6992480313658-4.69924803136577
2713.0298695801176-6.02986958011764
31712.25618914457284.74381085542723
41012.3552105109438-2.35521051094385
51213.0341537666817-1.03415376668173
61211.47111279345470.528887206545337
7119.766362930643041.23363706935696
81114.2395126110739-3.23951261107386
91211.66631083459320.333689165406833
101311.56586712242031.43413287757974
111415.605916048202-1.60591604820199
121614.89850872726891.10149127273107
131114.2153155832842-3.21531558328416
141012.3523658193402-2.35236581934019
151112.0695251782452-1.06952517824524
16159.008328298918295.99167170108171
17913.3326402115968-4.3326402115968
181112.0681028324434-1.06810283244341
191711.8586641841285.14133581587199
201715.67931804098151.32068195901845
211113.9196566808141-2.91965668081414
221815.9664257194822.03357428051801
231416.1024623750178-2.10246237501782
241013.6026625913167-3.60266259131669
251112.4528095315131-1.4528095315131
261512.85886856676882.14113143323117
271511.16549747037183.83450252962816
281313.331217865795-0.331217865794974
291613.42881688636422.57118311363577
301310.87412275446592.12587724553408
31911.5530488610452-2.55304886104519
321818.5581351405451-0.558135140545055
331811.05223549682396.94776450317613
341212.3381252121633-0.3381252121633
351712.94935585832894.05064414167106
36912.3238846049864-3.32388460498641
37912.4029931301319-3.40299313013189
38129.799094033243712.20090596675629
391816.47150612110881.5284938788912
401212.3395475579651-0.339547557965129
411814.80090970669973.19909029330033
421413.42881688636420.571183113635774
431512.36089989415122.63910010584884
441610.18095604070975.81904395929025
451012.5489862062805-2.54898620628053
461112.0652581408398-1.06525814083975
471413.93531963379290.0646803662071349
48912.4157942423483-3.41579424234834
491213.40888689598-1.40888689598002
501712.14577186262854.85422813737155
51510.3604911288695-5.36049112886953
521212.3523658193402-0.352365819340192
531212.5390297856677-0.539029785667723
5468.91215162415087-2.91215162415087
552421.6193320198722.380667980128
561213.1246239090832-1.12462390908324
571212.7384948642117-0.738494864211714
581410.87981213767323.12018786232677
5979.0140176821256-2.01401768212561
601311.96623677446871.03376322553133
611212.9393994377161-0.939399437716137
621311.26025179933741.73974820066256
631411.75964281775692.24035718224307
64813.0441101872945-5.04411018729453
65119.509141663139611.49085833686039
66911.3393431753243-2.33934317532431
671113.5983955539112-2.59839555391121
681312.45138718571130.548612814288727
691010.1047093563265-0.104709356326531
701112.544719168875-1.54471916887504
711212.6238105448619-0.623810544861912
72911.7553757803514-2.75537578035145
731514.19965263030540.80034736969456
741815.49123172885222.50876827114781
751511.74255751897643.25744248102362
761212.8261374641682-0.826137464168164
771310.48941605539622.51058394460378
781413.32837317419130.671626825808683
791012.4499648399094-2.44996483990944
801311.93775556011491.06224443988511
811314.2210049664915-1.22100496649148
821112.3580552025475-1.35805520254751
831312.64800757265160.351992427348394
841613.93105259638742.06894740361262
85810.7608607809179-2.76086078091794
861611.950573821494.04942617851005
871110.56708508558130.432914914418732
88912.0666804866416-3.06668048664158
891617.4631764289386-1.46317642893864
901211.74541935973860.254580640261357
911413.12320156328140.876798436718593
92810.1980413394903-2.1980413394903
93910.0862017117442-1.08620171174415
941511.35216143669943.64783856330063
951113.8377206132236-2.83772061322361
962116.37390710053954.62609289946046
971414.2915622676674-0.291562267667377
981816.18155375100471.8184462489953
991211.76106516355880.238934836441239
1001312.74276190161720.257238098382799
1011514.22242731229330.777572687706694
1021210.67750236752561.32249763247442
1031913.93105259638745.06894740361262
1041513.74012159265441.25987840734564
1051114.2138932374823-3.21389323748233
1061110.943257709840.056742290160013
1071011.9534185130936-1.95341851309361
1081314.3100699122498-1.31006991224976
1091515.0994133007733-0.0994133007733494
1101210.85847695064581.1415230493542
1111211.17973807754870.820261922451264
1121616.07968769303-0.07968769302996
113914.720395984911-5.72039598491097
1141815.09941330077332.90058669922665
115813.5648535419001-5.56485354190006
1161310.09046874914962.90953125085036
1171712.44854249410764.55145750589238
118910.8741227544659-1.87412275446592
1191513.72445863967561.27554136032436
12089.77631935125585-1.77631935125585
121710.6419094241627-3.64190942416266
1221211.27591475231620.724085247683841
1231414.8165726596784-0.816572659678395
124610.6888811339402-4.68888113394021
125811.7610651635588-3.76106516355876
1261712.54898620628054.45101379371947
127109.305392398031530.694607601968468
1281112.5504085520824-1.55040855208235
1291413.04837722470.95162277529998
1301113.7964382866534-2.79643828665337
1311314.8165726596784-1.81657265967839
1321212.1514783949944-0.151478394994373
1331110.18664542391710.813354576082939
13499.39161265218615-0.391612652186154
1351212.6437405352461-0.64374053524612
1362014.50526795338835.49473204661174
1371210.9560759712151.04392402878495
1381313.0441101872945-0.0441101872945335
1391212.9450888209235-0.945088820923453
1401216.2000613955871-4.20006139558708
141914.2010749761073-5.20107497610727
1421514.89566403566530.104335964334732
1432421.23035828339682.76964171660318
144710.5685074313831-3.5685074313831
1451714.71897363910912.28102636089086
1461112.0310875432787-1.03108754327865
1471714.29725165087472.70274834912531
1481111.8543971467225-0.854397146722527
1491212.8560238751652-0.856023875165174
1501414.1134495253094-0.113449525309423
1511113.239308228433-2.23930822843304
1521613.30986552960892.69013447039106
1532113.59126667574357.40873332425654
1541411.35642847410492.64357152589514
1552015.99632927963764.0036707203624
1561310.86701102545682.13298897454323
1571113.3127102212126-2.3127102212126
1581514.12056125431860.879438745681432
1591919.1408845723569-0.140884572356908


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.6790208333455420.6419583333089160.320979166654458
80.6542996460336970.6914007079326070.345700353966303
90.5265832788284090.9468334423431820.473416721171591
100.4066562151590910.8133124303181820.593343784840909
110.482437797008990.964875594017980.51756220299101
120.7359755579317810.5280488841364370.264024442068219
130.6695043107926240.6609913784147520.330495689207376
140.6219981693857510.7560036612284970.378001830614249
150.5427777504021860.9144444991956280.457222249597814
160.5928772689501520.8142454620996950.407122731049847
170.6051210903694460.7897578192611080.394878909630554
180.5412844727260210.9174310545479570.458715527273979
190.6689182749165950.662163450166810.331081725083405
200.748777946077540.502444107844920.25122205392246
210.7446004611024740.5107990777950520.255399538897526
220.7857689394097940.4284621211804130.214231060590206
230.7581786349622740.4836427300754530.241821365037726
240.7986692137955530.4026615724088940.201330786204447
250.7600140007127830.4799719985744330.239985999287217
260.7543842132608450.4912315734783110.245615786739155
270.7542296257988030.4915407484023940.245770374201197
280.7040258178284150.591948364343170.295974182171585
290.7186300121687970.5627399756624060.281369987831203
300.674569797956650.6508604040866980.325430202043349
310.7095206727096450.5809586545807090.290479327290355
320.7142835660869160.5714328678261680.285716433913084
330.8620445750441730.2759108499116540.137955424955827
340.8319928538027840.3360142923944320.168007146197216
350.8708312131958950.2583375736082090.129168786804105
360.88804998770670.2239000245866010.111950012293301
370.8958815027130260.2082369945739480.104118497286974
380.8766144437855950.2467711124288090.123385556214405
390.8864278238416840.2271443523166320.113572176158316
400.8594942014806160.2810115970387670.140505798519384
410.8823732216917690.2352535566164620.117626778308231
420.8565204779690540.2869590440618920.143479522030946
430.8448595758464680.3102808483070650.155140424153532
440.9029283351595870.1941433296808250.0970716648404127
450.9042448348204730.1915103303590530.0957551651795265
460.8885307126277760.2229385747444470.111469287372224
470.8627387695768740.2745224608462530.137261230423126
480.8761567177160580.2476865645678850.123843282283942
490.8540316769399840.2919366461200320.145968323060016
500.8988668872896480.2022662254207040.101133112710352
510.9554999638489820.08900007230203660.0445000361510183
520.9435847398632990.1128305202734020.056415260136701
530.9290518079482290.1418963841035420.070948192051771
540.944237856571010.1115242868579780.0557621434289892
550.9490967182116750.1018065635766510.0509032817883253
560.9373445350314570.1253109299370860.062655464968543
570.9223574272462280.1552851455075440.077642572753772
580.9238303847600630.1523392304798730.0761696152399366
590.921823104441990.1563537911160210.0781768955580106
600.9057208247295250.1885583505409490.0942791752704746
610.8865794079304660.2268411841390680.113420592069534
620.872096125454080.2558077490918390.12790387454592
630.8627341866999250.2745316266001510.137265813300075
640.9140226660060810.1719546679878370.0859773339939187
650.901651534560850.19669693087830.0983484654391501
660.8948134903685980.2103730192628040.105186509631402
670.8935538256170620.2128923487658770.106446174382939
680.8718043179921090.2563913640157820.128195682007891
690.85121804632140.2975639073572010.1487819536786
700.8311238124295520.3377523751408970.168876187570448
710.8038467202419960.3923065595160070.196153279758004
720.802387543880010.3952249122399790.197612456119989
730.7764794241551930.4470411516896140.223520575844807
740.7721486247120130.4557027505759730.227851375287987
750.7857186890469070.4285626219061850.214281310953093
760.7563303015213010.4873393969573980.243669698478699
770.7565055501423560.4869888997152870.243494449857644
780.7227320241675130.5545359516649750.277267975832487
790.7135725691342850.5728548617314290.286427430865715
800.6784832263811810.6430335472376380.321516773618819
810.6443129305298330.7113741389403350.355687069470167
820.6118215042901550.776356991419690.388178495709845
830.5687311018388260.8625377963223490.431268898161174
840.5516653252164380.8966693495671230.448334674783562
850.5526080723090820.8947838553818360.447391927690918
860.6096825191972320.7806349616055360.390317480802768
870.5659216578930470.8681566842139050.434078342106953
880.5727174460821020.8545651078357960.427282553917898
890.5486654491749460.9026691016501080.451334550825054
900.5056196851382720.9887606297234560.494380314861728
910.4640449389100980.9280898778201960.535955061089902
920.4431144930391010.8862289860782020.556885506960899
930.4031935654057430.8063871308114860.596806434594257
940.4382301146542340.8764602293084670.561769885345766
950.4362368158202980.8724736316405960.563763184179702
960.5116900131306410.9766199737387180.488309986869359
970.4707719203811690.9415438407623380.529228079618831
980.4410737890658280.8821475781316550.558926210934172
990.3963293926776060.7926587853552120.603670607322394
1000.3523643673156880.7047287346313770.647635632684312
1010.3132678396132630.6265356792265270.686732160386736
1020.2836366094332940.5672732188665880.716363390566706
1030.3956048285734560.7912096571469130.604395171426544
1040.3663586323592520.7327172647185030.633641367640748
1050.3887648654249380.7775297308498760.611235134575062
1060.3469941931406960.6939883862813920.653005806859304
1070.3195257766931640.6390515533863280.680474223306836
1080.2915488972755290.5830977945510580.708451102724471
1090.2523688389155510.5047376778311010.74763116108445
1100.2194226217744680.4388452435489360.780577378225532
1110.1921526674575680.3843053349151350.807847332542432
1120.1630391749416250.3260783498832490.836960825058375
1130.2711690438736210.5423380877472420.728830956126379
1140.2632426817291770.5264853634583530.736757318270823
1150.3682270069527150.736454013905430.631772993047285
1160.4013432573967440.8026865147934870.598656742603256
1170.4969839138431930.9939678276863860.503016086156807
1180.4582376415564380.9164752831128760.541762358443562
1190.4210198512031080.8420397024062150.578980148796892
1200.3842113748372460.7684227496744910.615788625162754
1210.446297517416140.892595034832280.55370248258386
1220.4031573246517460.8063146493034930.596842675348254
1230.3526902092979120.7053804185958240.647309790702088
1240.3930363048329080.7860726096658150.606963695167092
1250.42588616718480.85177233436960.5741138328152
1260.5291245162780470.9417509674439050.470875483721953
1270.5050495988473870.9899008023052270.494950401152613
1280.4523378504808750.904675700961750.547662149519125
1290.4138105713141780.8276211426283570.586189428685822
1300.488131958311450.97626391662290.51186804168855
1310.4442776268305910.8885552536611820.555722373169409
1320.3860467309940270.7720934619880540.613953269005973
1330.3720721540782620.7441443081565230.627927845921738
1340.3146590045515020.6293180091030040.685340995448498
1350.258295475230050.51659095046010.74170452476995
1360.365303055496620.730606110993240.63469694450338
1370.3063931766898530.6127863533797060.693606823310147
1380.2496018950206810.4992037900413620.750398104979319
1390.1983418417298840.3966836834597670.801658158270117
1400.2415590033608890.4831180067217770.758440996639111
1410.5551037131192350.889792573761530.444896286880765
1420.4929481340378330.9858962680756670.507051865962167
1430.4266614060534790.8533228121069570.573338593946521
1440.4882163364445110.9764326728890220.511783663555489
1450.4663133088704280.9326266177408560.533686691129572
1460.49556291211080.99112582422160.5044370878892
1470.400740870335240.801481740670480.59925912966476
1480.3240233290959290.6480466581918580.675976670904071
1490.2298802091907570.4597604183815130.770119790809243
1500.1706574976265610.3413149952531220.829342502373439
1510.1504911621898290.3009823243796590.84950883781017
1520.08203647115915980.164072942318320.91796352884084


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 level10.00684931506849315OK