Multiple Linear Regression - Estimated Regression Equation
ParentalExpectations[t] = + 8.09147964790566 + 0.194776500998796ConcernMistakes[t] -0.119695706891813Doubts[t] + 0.0841507381118301PersonalStandards[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)8.091479647905661.7345994.66487e-063e-06
ConcernMistakes0.1947765009987960.0559053.48410.0006420.000321
Doubts-0.1196957068918130.103464-1.15690.2491010.124551
PersonalStandards0.08415073811183010.0697271.20690.2293220.114661


Multiple Linear Regression - Regression Statistics
Multiple R0.358922953463756
R-squared0.128825686523146
Adjusted R-squared0.111964248197787
F-TEST (value)7.6402548843891
F-TEST (DF numerator)3
F-TEST (DF denominator)155
p-value8.51086343525154e-05
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation3.246872539625
Sum Squared Residuals1634.03809972849


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11113.1099934900753-2.10999349007531
2713.7480078498614-6.74800784986136
31713.20902806688923.79097193311079
41011.759972207307-1.759972207307
51212.4912072492097-0.491207249209737
61211.86226283342850.137737166571479
71112.8938210517592-1.89382105175919
81111.8267178646485-0.826717864648538
91211.11288790351610.887112096483914
101311.85319288942371.14680711057633
111412.61415900540921.38584099459084
121614.09729021929251.90270978070746
131112.8760345874209-1.8760345874209
141011.5075199929715-1.50751999297151
151111.6319413636497-0.631941363649743
161512.22208476134342.77791523865663
17912.9558410453143-3.95584104531431
181111.2336718413187-0.23367184131871
191712.88076025120734.11923974879267
201714.3892782589552.61072174104497
211113.490476548068-2.49047654806804
221814.56591487194413.43408512805587
231412.70338883097881.29661116902118
241013.9685245683959-3.96852456839588
251112.1585951533094-1.15859515330943
261512.1858049853242.81419501467602
271513.0135167586511.98648324134899
281312.70338883097880.296611169021179
291613.31891902253682.68108097746323
301312.17673504131910.823264958680871
31913.6729270557544-4.67292705575437
321813.23368005351414.76631994648587
331814.27938730330753.72061269669253
341214.6961501373196-2.69615013731961
351712.42918725565464.57081274434538
36914.8495677748412-5.84956777484119
37915.5586720721872-6.55867207218721
381210.13900539852211.86099460147789
391815.24419986429662.75580013570339
401213.9649150954169-1.96491509541687
411814.25217747129293.74782252870707
421413.40306976064860.596930239351403
431511.57860993053153.42139006946853
441612.42918725565463.57081274434538
451012.977971789871-2.97797178987102
461111.2597934424224-0.25979344242244
471411.82598305740912.17401694259087
48915.5361879039591-6.5361879039591
491214.6468095607484-2.64680956074835
501712.99936772718834.00063227281167
51513.1760043401774-8.17600434017743
521212.2873608042061-0.287360804206095
531212.4730673612-0.473067361200043
54610.778107989219-4.77810798921898
552415.11217816409238.88782183590767
561213.6192421989647-1.6192421989647
571213.3675247918686-1.36752479186861
581412.46473222443461.5352677755654
59711.4422439501088-4.44224395010878
601310.20102539207722.79897460792278
611212.3450365175428-0.345036517542789
621313.0044468146462-0.00444681464615887
631412.37550239886491.62449760113506
64812.0610301909743-4.06103019097434
651110.44115161310030.558848386899743
66915.0320182825275-6.03201828252752
671115.0233017621941-4.02330176219408
681312.98704173387590.0129582661241292
69109.887287991426020.112712008573976
701112.7741253448674-1.77412534486738
711214.270670782974-2.27067078297403
72912.4821373052049-3.48213730520489
731515.1295832448626-0.129583244862622
741813.88002955006564.11997044993437
751514.18217576464380.81782423535622
761213.0573968641964-1.05739686419643
771310.71499976475312.28500023524695
781412.59675392463891.40324607536113
791012.2913516607531-2.29135166075311
801314.3323373528577-1.33233735285775
811312.99936772718830.000632272811670364
821112.3098449724342-1.30984497243421
831312.34430171030340.655698289696617
841613.13321246554282.86678753445718
85812.4944632985173-4.49446329851735
861612.5481481553073.45185184469297
871113.1727482908698-2.17274829086982
88911.2728542429743-2.2728542429743
891614.38094312218961.61905687781041
901212.0258386458658-0.025838645865757
911412.91049132529011.08950867470992
92811.0396301475593-3.03963014755932
93911.3218134359776-2.32181343597756
941513.03092183942131.96907816057871
951112.4821373052049-1.48213730520489
962115.62541772952885.37458227047124
971413.98158536894770.0184146310522512
981813.95111948762564.0488805123744
991212.2296850908694-0.2296850908694
1001312.6943188869740.305681113026026
1011513.30984907853191.69015092146808
1021211.77412123876970.225878761230327
1031912.59276306809196.40723693190814
1041512.40705651109792.59294348890209
1051112.5786140366292-1.57861403662918
1061112.7157148242913-1.71571482429128
1071012.7389337997588-2.7389337997588
1081313.2877183339752-0.287718333975208
1091513.13646851485041.86353148514957
1101210.98920134007731.01079865992274
1111210.84411883932111.15588116067888
1121614.10236930675041.89763069324963
113913.2438382284298-4.24383822842978
1141815.06829805854692.93170194145309
115811.566665320787-3.56666532078701
1161312.01750350910030.982496490899684
1171713.17782737832763.82217262167235
118911.7690421513118-2.76904215131184
1191513.13646851485041.86353148514957
120811.7643164875254-3.76431648752542
121714.6112645919684-7.61126459196837
1221210.932260433981.06773956602003
1231412.80459122618951.19540877381047
124611.7385762699897-5.73857626998969
125810.9971830531713-2.99718305317129
1261712.43752239242014.56247760757994
1271011.9068777462134-1.90687774621335
1281112.6899746067556-1.68997460675555
1291412.16766509731431.83233490268572
1301115.0312834752881-4.03128347528811
1311313.0795276087531-0.0795276087531418
1321211.47705411164940.522945888350647
1331112.260885779431-1.26088577943096
134911.7650512947648-2.76505129476483
1351212.3312409097515-0.331240909751518
1362013.78754367518846.21245632481164
1371211.64027650041520.359723499584816
1381311.92827368353071.07172631646934
1391212.2122800100991-0.212280010099112
1401212.6718347187459-0.671834718745856
141914.1945017579562-5.19450175795624
1421514.93879760041080.0612023995891557
1432412.857541275739811.1424587242602
144712.1535160658516-5.1535160658516
1451712.56120895585894.43879104414111
1461114.0969367956211-3.09693679562114
1471715.15605826963781.84394173036224
1481112.6769138062037-1.67691380620369
1491210.97214968297841.02785031702163
1501413.10201177698130.897988223018741
1511113.3370589105465-2.33705891054646
1521613.64970808028692.35029191971315
1532116.6167053152934.38329468470698
1541412.89816533197761.10183466802238
1552012.68997460675567.31002539324445
1561311.92428282698361.07571717301636
1571113.8890994940705-2.88909949407048
1581512.67183471874592.32816528125414
1591913.64498241650045.35501758349957


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
70.1388653731582130.2777307463164270.861134626841787
80.1349673641337570.2699347282675140.865032635866243
90.1242235214639710.2484470429279420.875776478536029
100.07265145656001240.1453029131200250.927348543439988
110.2576160430181080.5152320860362160.742383956981892
120.3574398666070220.7148797332140440.642560133392978
130.3452421819677130.6904843639354260.654757818032287
140.2736223221354010.5472446442708010.7263776778646
150.2008400236316550.401680047263310.799159976368345
160.155926054402510.311852108805020.84407394559749
170.1779405343253120.3558810686506240.822059465674688
180.1281522641213590.2563045282427190.87184773587864
190.1831193896415010.3662387792830030.816880610358499
200.2234995576786670.4469991153573340.776500442321333
210.1833957090244970.3667914180489950.816604290975503
220.2246157956476920.4492315912953850.775384204352307
230.1797183532275990.3594367064551980.820281646772401
240.1998917846739470.3997835693478940.800108215326053
250.1571126809378740.3142253618757480.842887319062126
260.1442870944501590.2885741889003190.85571290554984
270.1173346835769510.2346693671539020.882665316423049
280.08741544001701350.1748308800340270.912584559982986
290.07533061669023720.1506612333804740.924669383309763
300.05520123430585160.1104024686117030.944798765694148
310.09553041278390920.1910608255678180.904469587216091
320.1429748018631780.2859496037263550.857025198136823
330.1364659887841590.2729319775683180.863534011215841
340.1562724636046210.3125449272092410.84372753639538
350.181059185120590.3621183702411810.81894081487941
360.2791570274615610.5583140549231220.720842972538439
370.3816221542955980.7632443085911960.618377845704402
380.3340591254817240.6681182509634480.665940874518276
390.3587854243614350.717570848722870.641214575638565
400.3244474158106230.6488948316212460.675552584189377
410.3629396639921030.7258793279842050.637060336007897
420.3148012738425990.6296025476851980.685198726157401
430.314083061029540.628166122059080.68591693897046
440.3094139521714790.6188279043429580.690586047828521
450.3119072599587140.6238145199174290.688092740041286
460.2721920595396620.5443841190793240.727807940460338
470.2447777235031870.4895554470063740.755222276496813
480.3363718896583390.6727437793166780.663628110341661
490.3101647664644380.6203295329288750.689835233535562
500.3369022030324220.6738044060648440.663097796967578
510.5837741393585960.8324517212828070.416225860641404
520.537909563097430.924180873805140.46209043690257
530.4908825388356620.9817650776713240.509117461164338
540.5910157576285530.8179684847428950.408984242371447
550.8539299228585710.2921401542828570.146070077141429
560.83083213648150.3383357270369990.169167863518499
570.8051349376152220.3897301247695560.194865062384778
580.7770757558347890.4458484883304220.222924244165211
590.8165845066991850.366830986601630.183415493300815
600.8067001938608450.386599612278310.193299806139155
610.7736949862858670.4526100274282670.226305013714133
620.7364942469826120.5270115060347760.263505753017388
630.7057475832027690.5885048335944630.294252416797232
640.7287618676543620.5424762646912770.271238132345638
650.690673354821380.618653290357240.30932664517862
660.7774045860747160.4451908278505680.222595413925284
670.7919505122274870.4160989755450270.208049487772513
680.756933080200540.4861338395989210.24306691979946
690.7229900058051990.5540199883896010.277009994194801
700.6947102673791450.6105794652417110.305289732620855
710.6747743016931390.6504513966137220.325225698306861
720.6802972366459670.6394055267080650.319702763354033
730.6443872474981330.7112255050037330.355612752501867
740.677033685355830.645932629288340.32296631464417
750.6393049420598130.7213901158803730.360695057940187
760.600605895708970.798788208582060.39939410429103
770.5845892188276110.8308215623447770.415410781172389
780.5483735140953190.9032529718093620.451626485904681
790.5239032923384990.9521934153230010.476096707661501
800.4911532462101080.9823064924202150.508846753789892
810.4453595948842080.8907191897684160.554640405115792
820.4080165974108830.8160331948217670.591983402589117
830.366018342276580.732036684553160.63398165772342
840.3553051580403530.7106103160807060.644694841959647
850.3939244366169640.787848873233930.606075563383035
860.4008971489370290.8017942978740580.599102851062971
870.377413249221190.754826498442380.62258675077881
880.3526277784693230.7052555569386460.647372221530677
890.3216544672494130.6433089344988270.678345532750587
900.2811246959479930.5622493918959860.718875304052007
910.2485510586278330.4971021172556660.751448941372167
920.2422048886332780.4844097772665570.757795111366722
930.2225948047359420.4451896094718830.777405195264058
940.2003700574636790.4007401149273580.79962994253632
950.1755892115921890.3511784231843790.82441078840781
960.2206966803915170.4413933607830330.779303319608483
970.1896709962245280.3793419924490560.810329003775472
980.2016752900250350.4033505800500710.798324709974965
990.170297651870620.340595303741240.82970234812938
1000.1423182913890910.2846365827781830.857681708610909
1010.1226429071887250.2452858143774510.877357092811274
1020.1001496547936380.2002993095872760.899850345206362
1030.1674863726712450.3349727453424890.832513627328755
1040.1566286981746850.3132573963493710.843371301825315
1050.1359209114870180.2718418229740350.864079088512982
1060.1196035908813430.2392071817626860.880396409118657
1070.1129853928097790.2259707856195570.887014607190221
1080.09207804123352710.1841560824670540.907921958766473
1090.07788280944804230.1557656188960850.922117190551958
1100.06279439855927760.1255887971185550.937205601440722
1110.05079454979192160.1015890995838430.949205450208078
1120.04140407965868250.0828081593173650.958595920341317
1130.04861193270211920.09722386540423830.95138806729788
1140.04540099243830070.09080198487660150.9545990075617
1150.04311189192952660.08622378385905320.956888108070473
1160.03349408577209910.06698817154419820.9665059142279
1170.03710972626761990.07421945253523990.96289027373238
1180.0331720331081830.0663440662163660.966827966891817
1190.02638841366179620.05277682732359250.973611586338204
1200.03133855097635870.06267710195271740.968661449023641
1210.100633872278430.2012677445568610.89936612772157
1220.08110208194477730.1622041638895550.918897918055223
1230.06489357925599790.1297871585119960.935106420744002
1240.1007817418505040.2015634837010090.899218258149496
1250.1011088682577780.2022177365155560.898891131742222
1260.1147102442542790.2294204885085580.885289755745721
1270.09523050210253450.1904610042050690.904769497897466
1280.07920892283691190.1584178456738240.920791077163088
1290.06339364333602810.1267872866720560.936606356663972
1300.08944328076582970.1788865615316590.91055671923417
1310.06794667612850940.1358933522570190.93205332387149
1320.05021841906922520.100436838138450.949781580930775
1330.03767754923954390.07535509847908780.962322450760456
1340.03474946931510390.06949893863020790.965250530684896
1350.02604752106951190.05209504213902370.973952478930488
1360.044647120045390.089294240090780.95535287995461
1370.03133418361354310.06266836722708620.968665816386457
1380.02147765960824160.04295531921648310.978522340391758
1390.01425044683181040.02850089366362070.98574955316819
1400.009671310312380140.01934262062476030.99032868968762
1410.02883932091296690.05767864182593380.971160679087033
1420.01917428447011910.03834856894023830.98082571552988
1430.2290068664202080.4580137328404170.770993133579791
1440.3742628317871420.7485256635742840.625737168212858
1450.3969597144832630.7939194289665250.603040285516737
1460.5084805967838550.983038806432290.491519403216145
1470.4089740838401250.817948167680250.591025916159875
1480.3628639875966980.7257279751933960.637136012403302
1490.2653992853872110.5307985707744210.734600714612789
1500.1771730502314430.3543461004628850.822826949768557
1510.1689357586196110.3378715172392220.831064241380389
1520.0930484561673190.1860969123346380.906951543832681


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level40.0273972602739726OK
10% type I error level190.13013698630137NOK