Multiple Linear Regression - Estimated Regression Equation
PE[t] = + 6.09929709007711 -0.572369992530578Gender[t] + 0.0866727583352752CM[t] -0.106187261755795D[t] + 0.654214401976763PC[t] + 0.108281106271803PS[t] -0.0678164122781242O[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)6.099297090077111.7696163.44670.0007340.000367
Gender-0.5723699925305780.473541-1.20870.2286540.114327
CM0.08667275833527520.0481691.79940.0739460.036973
D-0.1061872617557950.088466-1.20030.2318840.115942
PC0.6542144019767630.0866737.548100
PS0.1082811062718030.0634971.70530.0901830.045092
O-0.06781641227812420.064065-1.05860.2914810.14574


Multiple Linear Regression - Regression Statistics
Multiple R0.642671903267808
R-squared0.413027175249867
Adjusted R-squared0.38985719532552
F-TEST (value)17.8259617228176
F-TEST (DF numerator)6
F-TEST (DF denominator)152
p-value1.33226762955019e-15
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation2.69132262201377
Sum Squared Residuals1100.96905327598


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
1713.4790215593576-6.4790215593576
21713.72234850825713.27765149174287
31213.7915107685519-1.79151076855189
41211.4191978016350.580802198365016
51110.39935459697370.600645403026295
61114.580680552283-3.58068055228304
71210.88872910235861.11127089764138
81311.56266784105521.43733215894484
91614.80402231699151.19597768300851
101113.917671981468-2.91767198146803
111012.3341263310336-2.33412633103363
12913.8775253695238-4.8775253695238
131715.63002655432291.36997344567709
141113.8009030429944-2.80090304299436
151416.1017232463373-2.10172324633732
161513.38736429676251.61263570323748
171511.88178707496113.11821292503885
181311.3647418934181.63525810658196
191818.2222651603864-0.222265160386393
201812.37525759824045.6247424017596
211213.7657038619946-1.76570386199458
221713.787861242723.21213875728002
231816.98906094494931.0109390550507
241414.0855922098401-0.0855922098401114
251611.03537081025674.96462918974332
261413.20974063018660.7902593698134
271213.9318998544545-1.93189985445448
281712.46853267999914.53146732000087
291212.2713574366874-0.271357436687365
3069.57158546676449-3.57158546676449
311212.8381402142407-0.838140214240721
321213.1622060032669-1.16220600326686
331311.38449488760341.61550511239659
341411.7512201779512.24877982204905
351112.910024943125-1.91002494312496
361212.9297980985731-0.929798098573139
37912.0840207057935-3.08402070579355
381514.79208725223150.207912747768452
391815.14704453906222.85295546093781
401512.33400721269472.66599278730533
411213.0060905976401-1.00609059764006
421413.28769793514390.712302064856083
431312.4984274426880.501572557311992
441314.0242774122607-1.02427741226068
451112.3335504727808-1.33355047278083
461614.6048319446241.39516805537601
471111.3163392758357-0.316339275835669
481617.8425176092899-1.84251760928992
49810.7901219010008-2.79012190100075
501511.8953676601733.10463233982701
512117.27662148610033.72337851389967
521815.93270407656322.06729592343682
531312.83848845131740.161511548682574
541514.6393627204090.360637279591004
551914.49977044973424.50022955026582
561514.13399482742250.866005172577521
571110.87409901621050.125900983789524
581012.4456086390732-2.44560863907323
591314.8059967890816-1.8059967890816
601514.93389248576130.0661075142386731
611211.18346932274760.816530677252438
621615.84867507135710.151324928642902
631817.35612334869780.643876651302167
64815.0189613657897-7.01896136578966
651310.55394447631192.44605552368813
661714.1002690286282.89973097137198
67711.3849525033416-4.38495250334156
681211.47987285146520.520127148534764
691415.1343503541272-1.13435035412716
70610.9453886014034-4.94538860140342
71109.921338422271630.0786615777283697
721112.733927424575-1.73392742457503
731412.99614025282161.00385974717837
741113.826490122488-2.82649012248796
751315.4124474454009-2.41244744540086
761212.0724441259617-0.0724441259617144
7799.64270316779782-0.642703167797816
781210.90527152274911.09472847725091
791313.6653790889257-0.665379088925654
801216.4953887501336-4.49538875013357
81914.6418234657028-5.64182346570285
821515.615567730597-0.61556773059703
832421.37284877400452.62715122599552
841714.73385340816972.2661465918303
851112.1350932802317-1.13509328023167
861715.13691268397011.86308731602992
871112.3741427009632-1.37414270096319
881212.6195031885327-0.61950318853265
891414.508037579048-0.508037579048024
901114.3007187352311-3.30071873523108
911613.03200600703452.96799399296549
922113.97777896715797.02222103284213
931412.21924290133841.78075709866163
942016.41189790812763.58810209187241
951311.17553139915891.82446860084113
961514.05803065825640.941969341743591
971918.03903740306430.96096259693569
981114.8065442880252-3.80654428802522
991011.5440683590935-1.54406835909346
1001414.420286084643-0.420286084642973
1011111.8911781832088-0.891178183208771
102159.783839084004935.21616091599507
1031111.9133741348112-0.913374134811166
1041711.74497542734775.25502457265228
1051814.8887381007433.11126189925704
1061012.3501585876686-2.35015858766865
1071111.5061274240657-0.506127424065716
1081312.70904640906530.290953590934688
1091613.40494111103772.59505888896227
110911.2108387926253-2.21083879262526
111911.9036709506943-2.90367095069427
112912.6842645606492-3.68426456064922
113128.574566514198143.42543348580186
1141212.5793743281817-0.579374328181662
1151813.87677583917924.12322416082082
1161511.62193582491483.37806417508522
1171012.6877561431782-2.68775614317823
1181111.2566983658032-0.256698365803193
119912.6631943759128-3.6631943759128
12059.56115178365452-4.56115178365452
1211212.0113759446263-0.0113759446263311
1222422.08065921901481.91934078098524
1231411.1829377874652.81706221253502
12478.92387176737853-1.92387176737852
1251212.8359444948051-0.835944494805105
1261311.18162147273821.81837852726175
127812.5656846183953-4.56568461839533
128119.100417609992561.89958239000744
129911.4656711459218-2.46567114592177
1301113.3525901710125-2.35259017101251
1311312.95118457742680.0488154225732003
132109.213764643810420.786235356189582
133139.670830627939333.32916937206067
1341011.6569670688472-1.65696706884721
1351311.87190304637741.12809695362259
13689.53114877221546-1.53114877221546
1371611.2965241878724.703475812128
138911.0979015119945-2.09790151199452
1391211.10797185097620.892028149023793
1401411.74069727744232.25930272255766
14199.29770468570481-0.297704685704813
1421113.2030282700808-2.20302827008076
1431412.9812089603931.01879103960702
1441211.32244021900380.677559780996194
1451210.64219041346931.35780958653066
1461112.7748690638148-1.77486906381483
147129.63910067276212.36089932723789
148914.9363336552461-5.93633365524615
149910.6347008139448-1.63470081394476
1501512.84964445244282.15035554755715
15189.23522101476318-1.23522101476318
15289.99139579684937-1.99139579684937
1531712.04016335006344.95983664993658
1541110.04298936834810.957010631651875
1551211.69161783879550.308382161204532
1562014.26547612415415.73452387584586
1571212.6851048500236-0.685104850023614
15879.6716274431671-2.6716274431671
1591112.6720105380155-1.67201053801552


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
100.9667794115385580.0664411769228850.0332205884614425
110.9401690917425640.1196618165148710.0598309082574355
120.9399650180156250.1200699639687490.0600349819843745
130.9334236825872850.1331526348254290.0665763174127147
140.9185392318079070.1629215363841860.081460768192093
150.8768216469454610.2463567061090770.123178353054539
160.8559377939852030.2881244120295950.144062206014797
170.8520723870326130.2958552259347750.147927612967387
180.8086760491813110.3826479016373780.191323950818689
190.7573707737505390.4852584524989230.242629226249461
200.835883321842470.3282333563150590.164116678157529
210.8552586279793340.2894827440413310.144741372020666
220.8634220683118470.2731558633763060.136577931688153
230.8321987125813620.3356025748372750.167801287418638
240.7827185322272740.4345629355454520.217281467772726
250.8185384355395380.3629231289209250.181461564460462
260.7855259729379950.428948054124010.214474027062005
270.753717959509320.492564080981360.24628204049068
280.7686213149810160.4627573700379690.231378685018984
290.7174401690190460.5651196619619080.282559830980954
300.7218244434268540.5563511131462930.278175556573146
310.6839820840901750.6320358318196490.316017915909825
320.6486357477424330.7027285045151330.351364252257567
330.6041483546172430.7917032907655130.395851645382757
340.5603915278897290.8792169442205410.439608472110271
350.5591054326778740.8817891346442510.440894567322126
360.5132488701059650.973502259788070.486751129894035
370.5159550586069980.9680898827860030.484044941393002
380.4650313163818680.9300626327637360.534968683618132
390.4705575740072480.9411151480144960.529442425992752
400.4630777154148130.9261554308296260.536922284585187
410.4099883902679110.8199767805358210.590011609732089
420.35973877192050.7194775438410010.6402612280795
430.3122247653376360.6244495306752720.687775234662364
440.2872385214582780.5744770429165560.712761478541722
450.2593590594897080.5187181189794160.740640940510292
460.2399957832693580.4799915665387150.760004216730642
470.2162531702703830.4325063405407660.783746829729617
480.1892358649189610.3784717298379220.810764135081039
490.1769353851224260.3538707702448510.823064614877575
500.1848624504748730.3697249009497460.815137549525127
510.2163345239519370.4326690479038730.783665476048063
520.2192423340649870.4384846681299740.780757665935013
530.1875779209990490.3751558419980980.81242207900095
540.1568551533100950.3137103066201890.843144846689905
550.2512785627091810.5025571254183620.748721437290819
560.2257005787753670.4514011575507340.774299421224633
570.1928754894110070.3857509788220140.807124510588993
580.1801293755794530.3602587511589050.819870624420547
590.15811083518220.3162216703643990.8418891648178
600.1302545878709660.2605091757419320.869745412129034
610.1190821918161730.2381643836323460.880917808183827
620.1121553434868530.2243106869737070.887844656513147
630.09731479394418230.1946295878883650.902685206055818
640.2524944886772360.5049889773544730.747505511322764
650.2459663059275880.4919326118551760.754033694072412
660.2625677157042390.5251354314084780.737432284295761
670.3937198314560510.7874396629121020.606280168543949
680.3503612912266640.7007225824533280.649638708773336
690.3192560399584560.6385120799169130.680743960041544
700.4246173047462420.8492346094924840.575382695253758
710.3787048799695070.7574097599390130.621295120030493
720.3569426490872280.7138852981744560.643057350912772
730.3239375068181680.6478750136363350.676062493181832
740.3484946193361730.6969892386723460.651505380663827
750.3416613707258680.6833227414517370.658338629274132
760.3071100644071450.6142201288142890.692889935592855
770.2764527148941960.5529054297883930.723547285105804
780.2407064435982450.481412887196490.759293556401755
790.2085678841847580.4171357683695160.791432115815242
800.2722284444655670.5444568889311350.727771555534433
810.4307391938084350.8614783876168690.569260806191565
820.3918419779499650.7836839558999290.608158022050036
830.4056105247681980.8112210495363950.594389475231802
840.3810401786663720.7620803573327440.618959821333628
850.3541353885272630.7082707770545270.645864611472737
860.326101693386740.652203386773480.67389830661326
870.3097715384375170.6195430768750340.690228461562483
880.2972601352631930.5945202705263850.702739864736807
890.2825939723785930.5651879447571850.717406027621407
900.3803626439039240.7607252878078480.619637356096076
910.3561832321506620.7123664643013240.643816767849338
920.5498109139542940.9003781720914120.450189086045706
930.5135215338909160.9729569322181680.486478466109084
940.5233855286993410.9532289426013180.476614471300659
950.4880074835922130.9760149671844260.511992516407787
960.4420933680988050.884186736197610.557906631901195
970.3974961492235940.7949922984471880.602503850776406
980.4062924256725140.8125848513450290.593707574327486
990.3855886112095180.7711772224190350.614411388790482
1000.3562944688834370.7125889377668740.643705531116563
1010.3210498506556120.6420997013112250.678950149344388
1020.4996598236817980.9993196473635970.500340176318202
1030.4933325823057170.9866651646114340.506667417694283
1040.6410496093524230.7179007812951540.358950390647577
1050.634111632474520.731776735050960.36588836752548
1060.63551033912770.72897932174460.3644896608723
1070.5903610057272760.8192779885454470.409638994272724
1080.5408747160449790.9182505679100420.459125283955021
1090.5357271362127540.9285457275744920.464272863787246
1100.5087908650117740.9824182699764520.491209134988226
1110.4953861806797960.9907723613595910.504613819320204
1120.4982255315809640.9964510631619280.501774468419036
1130.5141658586262850.971668282747430.485834141373715
1140.4662907252514630.9325814505029260.533709274748537
1150.5818875701868690.8362248596262630.418112429813131
1160.5645035422583990.8709929154832010.435496457741601
1170.5536476652000420.8927046695999150.446352334799958
1180.500353120250660.999293759498680.49964687974934
1190.4894400426326180.9788800852652360.510559957367382
1200.5634574661965120.8730850676069770.436542533803488
1210.5061953960784360.9876092078431280.493804603921564
1220.476912764656410.953825529312820.52308723534359
1230.4832070661153030.9664141322306060.516792933884697
1240.4441152005943940.8882304011887870.555884799405606
1250.3870426898855840.7740853797711670.612957310114416
1260.3611893988664490.7223787977328980.638810601133551
1270.4583744266963940.9167488533927880.541625573303606
1280.4181023830218590.8362047660437180.581897616978141
1290.3750845213376910.7501690426753820.624915478662309
1300.3577909208988010.7155818417976030.642209079101199
1310.2985071474856110.5970142949712220.701492852514389
1320.2518341276890380.5036682553780770.748165872310962
1330.3124917336698820.6249834673397650.687508266330118
1340.2642867195479780.5285734390959570.735713280452022
1350.2159266273668410.4318532547336820.784073372633159
1360.2088819140361790.4177638280723570.791118085963821
1370.2734858380869860.5469716761739720.726514161913014
1380.2204604816526220.4409209633052430.779539518347378
1390.1705978353885910.3411956707771810.82940216461141
1400.1377929074939410.2755858149878830.862207092506059
1410.09711575324933880.1942315064986780.902884246750661
1420.07724996281271930.1544999256254390.922750037187281
1430.0501022210135510.1002044420271020.94989777898645
1440.03091095766102680.06182191532205350.969089042338973
1450.02008999260857750.0401799852171550.979910007391423
1460.01622641833429630.03245283666859260.983773581665704
1470.01420330926847970.02840661853695940.98579669073152
1480.2091732490391850.418346498078370.790826750960815
1490.1803040930647310.3606081861294610.81969590693527


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level30.0214285714285714OK
10% type I error level50.0357142857142857OK