Multiple Linear Regression - Estimated Regression Equation
PStandards[t] = + 9.08042770775861 -0.597428406632135Week[t] + 0.334373957930553Consern[t] -0.360543884942166Doubts[t] + 0.194459349122136PExpect[t] + 0.0119042895646452PCritisism[t] + 0.390931450917963Organisation[t] + 0.00518174230172215t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)9.080427707758612.6759443.39340.0008820.000441
Week-0.5974284066321350.654515-0.91280.3628130.181407
Consern0.3343739579305530.0559695.974300
Doubts-0.3605438849421660.107471-3.35480.0010040.000502
PExpect0.1944593491221360.1016311.91340.0575910.028795
PCritisism0.01190428956464520.1293760.0920.9268090.463405
Organisation0.3909314509179630.0740535.279100
t0.005181742301722150.0117730.44020.6604540.330227


Multiple Linear Regression - Regression Statistics
Multiple R0.610183506023453
R-squared0.372323911023073
Adjusted R-squared0.343226343984408
F-TEST (value)12.7957059271767
F-TEST (DF numerator)7
F-TEST (DF denominator)151
p-value7.55950857467269e-13
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.41748962153724
Sum Squared Residuals1763.56453231053


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
12423.91166368355730.0883363164426993
22523.33460213111521.66539786888480
33025.19396802774064.80603197225942
41921.227182072629-2.22718207262899
52221.51163653883640.488363461163552
62224.0124885254431-2.01248852544307
72523.56126807797911.43873192202091
82320.38801432689712.61198567310291
91719.7969982021306-2.79699820213060
102122.0403507064565-1.04035070645649
111923.1937377724846-4.1937377724846
121923.9196025188496-4.91960251884957
131523.6177711534672-8.61777115346725
141617.5541194816704-1.55411948167038
152319.84770274067053.15229725932952
162724.44937874751342.55062125248655
172221.42652043222600.573479567773976
181417.0355651132225-3.03556511322252
192224.5586458613607-2.55864586136073
202323.9651407792001-0.965140779200137
212321.47264958189331.52735041810666
222124.4519977168330-3.45199771683305
231922.2710278341914-3.27102783419144
241823.7617337886120-5.76173378861203
252022.9851762942856-2.98517629428555
262322.29488370000350.705116299996546
272523.24130452039131.75869547960871
281923.2276543910732-4.22765439107322
292423.75965668775390.240343312246052
302221.47387772434260.526122275657441
312525.0268845962352-0.0268845962352194
322623.11769676997042.88230323002964
332922.78343600419466.2165639958054
343225.12944808421456.87055191578553
352521.53147379919773.46852620080228
362924.39172730878144.60827269121862
372824.97027663005263.02972336994737
381717.0567335468342-0.0567335468342169
392826.10728215127051.89271784872955
402922.93650009642026.06349990357978
412627.4970790204123-1.49707902041231
422523.43810063943211.56189936056794
431419.5822090191191-5.58220901911912
442522.11789587436842.88210412563157
452621.63461237948084.36538762051923
462020.2231588132035-0.223158813203451
471821.3953777508513-3.39537775085134
483224.7275070423817.272492957619
492525.0536236683069-0.0536236683069089
502521.78891567746683.21108432253324
512320.87970081827012.12029918172987
522122.1425306938361-1.14253069383612
532024.0196422707286-4.01964227072863
541516.5520832674171-1.55208326741709
553026.77499724555853.22500275444149
562425.3507310413086-1.35073104130858
572624.31818570487871.68181429512134
582421.78303829193712.21696170806288
592221.43745881205180.562541187948228
601415.7502332326531-1.75023323265312
612422.25762815710371.74237184289633
622423.00757687569570.992423124304322
632423.39301237461060.606987625389408
642419.99660295476424.00339704523578
651918.55325412663790.446745873362124
663126.89859864285944.10140135714059
672226.7332028172792-4.73320281727917
682721.58147752496255.41852247503753
691917.75728332536611.24271667463385
702522.37993430303972.62006569696028
712025.1515000704160-5.15150007041597
722121.5943257099521-0.594325709952096
732727.6409800161059-0.640980016105901
742324.5829167645659-1.58291676456588
752525.8872033493752-0.887203349375234
762022.4054240610342-2.40542406103416
772119.35906725792641.64093274207362
782222.5995692004550-0.599569200454971
792323.1009185954322-0.100918595432210
802524.29905915586250.70094084413754
812523.55301386653331.44698613346669
821723.9670181704281-6.96701817042807
831921.6372513714409-2.63725137144088
842524.13928422391230.860715776087668
851921.9444942356742-2.94449423567415
862022.7692487362938-2.76924873629376
872622.13886903879773.86113096120232
882320.29708291878692.70291708121311
892724.06633490888722.93366509111278
901720.5311399253393-3.53113992533928
911723.008381173949-6.00838117394901
921919.7179098799793-0.717909879979266
931719.3576956688508-2.35769566885084
942221.73553107522160.264468924778375
952123.1044347468696-2.10443474686963
963228.33903071882853.66096928117149
972124.3930893880104-3.39308938801039
982124.0609793307881-3.06097933078813
991820.9383194909969-2.93831949099694
1001821.010579958999-3.01057995899901
1012322.54472583844080.455274161559224
1021920.3255523664996-1.32555236649958
1032020.7356914760935-0.735691476093458
1042122.0004204964955-1.00042049649547
1052023.4728914787342-3.47289147873416
1061718.6142593762223-1.61425937622229
1071820.0564207282979-2.05642072829787
1081920.5414084736735-1.54140847367350
1092221.82465644251160.175343557488359
1101518.5119470261793-3.5119470261793
1111418.5729376341405-4.57293763414053
1121826.3857448443021-8.38574484430213
1132421.11346334399852.88653665600147
1143523.394024592310011.6059754076900
1152918.810762106951410.1892378930486
1162121.7272762440235-0.727276244023457
1172520.36090338600404.63909661399597
1182018.26979167021721.73020832978276
1192223.0254596391535-1.02545963915346
1201316.7194203948531-3.71942039485315
1212623.05789146766942.94210853233062
1221716.70988474980960.290115250190362
1232519.91775670998605.08224329001397
1242020.4759765211343-0.475976521134334
1251917.89295046366121.10704953633880
1262122.4575766582009-1.45757665820091
1272220.85461911448081.14538088551921
1282422.47397840082541.52602159917457
1292122.7662384491393-1.76623844913926
1302625.35864023278160.641359767218397
1312420.45545150318623.54454849681379
1321620.1180994027268-4.11809940272676
1332322.18214013973280.817859860267227
1341820.6398744684833-2.63987446848330
1351622.2268334361784-6.22683343617845
1362624.01080523449491.98919476550514
1371918.95584046028060.0441595397194431
1382116.81521814891484.18478185108522
1392122.0339880840301-1.03398808403006
1402218.43755429127063.56244570872936
1412319.73525715553173.26474284446833
1422924.76763865935894.23236134064111
1432119.22348851092311.77651148907692
1442119.85367152879651.14632847120354
1452321.81409736775581.18590263224417
1462722.96822447795544.03177552204464
1472525.4137730395503-0.41377303955029
1482120.94120802167180.0587919783282202
1491017.0906417040770-7.09064170407697
1502022.5999542231388-2.59995422313884
1512622.48351249942653.51648750057351
1522423.66104629857510.338953701424890
1532931.7277367555290-2.72773675552904
1541919.0850685418013-0.0850685418012816
1552422.07795232738661.92204767261340
1561920.7474859458915-1.74748594589149
1572423.43574603435740.564253965642628
1582221.81501098779980.184989012200151
1591723.8153269286905-6.81532692869054


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.4533016503460610.9066033006921230.546698349653939
120.3488170518365660.6976341036731320.651182948163434
130.4616648405720190.9233296811440380.538335159427981
140.3732552361663050.746510472332610.626744763833695
150.6337682161980020.7324635676039970.366231783801998
160.5662001270212350.867599745957530.433799872978765
170.5710861727816630.8578276544366740.428913827218337
180.5466044817465590.9067910365068810.453395518253441
190.458956640215520.917913280431040.54104335978448
200.5720157825578650.855968434884270.427984217442135
210.6129997419714480.7740005160571040.387000258028552
220.547496098147780.905007803704440.45250390185222
230.4833790638691960.9667581277383930.516620936130804
240.4758293343783220.9516586687566430.524170665621678
250.4163477243082500.8326954486165010.58365227569175
260.3729599351786550.7459198703573090.627040064821345
270.3571077944100680.7142155888201360.642892205589932
280.3243545729223730.6487091458447470.675645427077627
290.3034202224533770.6068404449067550.696579777546623
300.2548916027766970.5097832055533940.745108397223303
310.2228834913830680.4457669827661360.777116508616932
320.2574295467004140.5148590934008270.742570453299586
330.3599171415782750.719834283156550.640082858421725
340.4807745139808450.961549027961690.519225486019155
350.4306646228056440.8613292456112880.569335377194356
360.3968688419039060.7937376838078120.603131158096094
370.3444253498562670.6888506997125350.655574650143733
380.3377274459064570.6754548918129150.662272554093543
390.3070875040286080.6141750080572160.692912495971392
400.3046739614148710.6093479228297410.69532603858513
410.3846179016326470.7692358032652940.615382098367353
420.3506365203638680.7012730407277360.649363479636132
430.5861582129720390.8276835740559220.413841787027961
440.5489117092841720.9021765814316560.451088290715828
450.524363790896270.951272418207460.47563620910373
460.4931198472331290.9862396944662580.506880152766871
470.5387295709851720.9225408580296560.461270429014828
480.5909087027173320.8181825945653360.409091297282668
490.5836678180621550.832664363875690.416332181937845
500.5523340914792020.8953318170415970.447665908520798
510.515653763998740.968692472002520.48434623600126
520.503619914705030.992760170589940.49638008529497
530.5870490956995730.8259018086008540.412950904300427
540.5610882627027250.877823474594550.438911737297275
550.551294226761150.89741154647770.44870577323885
560.5436515147821180.9126969704357630.456348485217882
570.4983474692442210.9966949384884410.501652530755779
580.4603039288655770.9206078577311540.539696071134423
590.4139854639268820.8279709278537650.586014536073118
600.3827859754552770.7655719509105530.617214024544723
610.3409469713392710.6818939426785420.659053028660729
620.3076872245496790.6153744490993580.692312775450321
630.2719759739514120.5439519479028240.728024026048588
640.2799193415555790.5598386831111580.720080658444421
650.2423247519973150.4846495039946290.757675248002685
660.2453977616473280.4907955232946570.754602238352672
670.3592648603205870.7185297206411740.640735139679413
680.4071835353582050.814367070716410.592816464641795
690.3669176309950660.7338352619901320.633082369004934
700.3441450640747920.6882901281495830.655854935925208
710.4531448480516430.9062896961032860.546855151948357
720.4116352431232680.8232704862465360.588364756876732
730.3791609237301900.7583218474603790.62083907626981
740.3523879173141540.7047758346283080.647612082685846
750.3255867408135630.6511734816271270.674413259186436
760.3044803810643070.6089607621286140.695519618935693
770.2806802934509850.561360586901970.719319706549015
780.2447610657696670.4895221315393330.755238934230333
790.2119683396941370.4239366793882740.788031660305863
800.189143062476510.378286124953020.81085693752349
810.1769371313309060.3538742626618120.823062868669094
820.2599257873760690.5198515747521370.740074212623931
830.2420153486171940.4840306972343870.757984651382806
840.2087458129903840.4174916259807680.791254187009616
850.2020037875154890.4040075750309780.79799621248451
860.1891449971096160.3782899942192320.810855002890384
870.2092012751562540.4184025503125080.790798724843746
880.2053378193429120.4106756386858250.794662180657088
890.2025804461963260.4051608923926510.797419553803674
900.1961032303615030.3922064607230050.803896769638497
910.2515314887080580.5030629774161160.748468511291942
920.2150907066411480.4301814132822970.784909293358852
930.190901902146040.381803804292080.80909809785396
940.1632588858204940.3265177716409870.836741114179506
950.1427690490328630.2855380980657260.857230950967137
960.1588511866593590.3177023733187180.841148813340641
970.1489613841547240.2979227683094490.851038615845276
980.1351640209495810.2703280418991630.864835979050419
990.1214888434233440.2429776868466880.878511156576656
1000.1106786015085100.2213572030170200.88932139849149
1010.09090318628898860.1818063725779770.909096813711011
1020.07323077135879180.1464615427175840.926769228641208
1030.0578451942135850.115690388427170.942154805786415
1040.04559982332420640.09119964664841290.954400176675794
1050.04644958534457250.0928991706891450.953550414655428
1060.03724611471698790.07449222943397570.962753885283012
1070.03269758235606130.06539516471212260.967302417643939
1080.02995150601174360.05990301202348720.970048493988256
1090.02361176628946780.04722353257893570.976388233710532
1100.02442501235003870.04885002470007730.975574987649961
1110.03421246299686340.06842492599372680.965787537003137
1120.2360703740084260.4721407480168530.763929625991574
1130.2484874123817660.4969748247635330.751512587618233
1140.6063620141047380.7872759717905240.393637985895262
1150.8655382969511720.2689234060976550.134461703048828
1160.8341169301717120.3317661396565770.165883069828288
1170.8634534558770030.2730930882459940.136546544122997
1180.8348589988495530.3302820023008940.165141001150447
1190.8133017296007020.3733965407985950.186698270399298
1200.8694199799610480.2611600400779040.130580020038952
1210.8418279205483640.3163441589032730.158172079451636
1220.8070923045500980.3858153908998040.192907695449902
1230.8145384588473910.3709230823052170.185461541152609
1240.7708436055393750.4583127889212510.229156394460625
1250.7359058964809250.528188207038150.264094103519075
1260.6970705048397860.6058589903204290.302929495160214
1270.64811922451010.7037615509798010.351880775489900
1280.5951621798736210.8096756402527580.404837820126379
1290.5402911950547180.9194176098905650.459708804945282
1300.4887314777594750.977462955518950.511268522240525
1310.4591902305239310.9183804610478620.540809769476069
1320.4835687040517260.9671374081034530.516431295948274
1330.4184951322581110.8369902645162210.58150486774189
1340.3896437667668980.7792875335337950.610356233233103
1350.6915526182958080.6168947634083840.308447381704192
1360.6220628052285660.7558743895428680.377937194771434
1370.6079278099595270.7841443800809460.392072190040473
1380.5512885798104490.8974228403791020.448711420189551
1390.5750834569839050.849833086032190.424916543016095
1400.4974788087903150.994957617580630.502521191209685
1410.434405115735450.86881023147090.56559488426455
1420.3902369038925690.7804738077851370.609763096107431
1430.4085351048911450.817070209782290.591464895108855
1440.3488716857208150.6977433714416290.651128314279185
1450.2497884710759780.4995769421519560.750211528924022
1460.2124661337828710.4249322675657420.787533866217129
1470.1721604707498720.3443209414997440.827839529250128
1480.09517859111361450.1903571822272290.904821408886386


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level20.0144927536231884OK
10% type I error level80.0579710144927536OK