Multiple Linear Regression - Estimated Regression Equation
Q1_2[t] = + 1.47989704422343 + 0.211536296316238Q1_3[t] -0.226959234717235Q1_5[t] + 0.142272613689836Q1_7[t] -0.173251587312293Q1_8[t] + 0.0994300625037737Q1_12[t] + 0.53567045852253Q1_16[t] + 0.000956764440532458Q1_22[t] -0.0478595993824866GENDER[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1.479897044223430.7848611.88560.0612510.030625
Q1_30.2115362963162380.0808262.61720.0097560.004878
Q1_5-0.2269592347172350.118389-1.91710.0570940.028547
Q1_70.1422726136898360.0743751.91290.0576290.028814
Q1_8-0.1732515873122930.115132-1.50480.1344340.067217
Q1_120.09943006250377370.0985051.00940.314380.15719
Q1_160.535670458522530.0868796.165700
Q1_220.0009567644405324580.1001310.00960.9923890.496194
GENDER-0.04785959938248660.165571-0.28910.7729290.386464


Multiple Linear Regression - Regression Statistics
Multiple R0.589970343960876
R-squared0.348065006753315
Adjusted R-squared0.313976902531266
F-TEST (value)10.2107469657459
F-TEST (DF numerator)8
F-TEST (DF denominator)153
p-value2.23783214181594e-11
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation0.990510676830705
Sum Squared Residuals150.110044340090


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
176.324800092225370.675199907774634
255.10196729722794-0.101967297227940
364.166086016675881.83391398332412
444.54274740644399-0.542747406443987
554.802143302142710.197856697857290
666.13563280832744-0.13563280832744
776.275983728402370.724016271597629
865.142165535112940.857834464887056
965.855139699969810.144860300030186
1065.071945088046010.928054911953991
1154.035320228326590.96467977167341
1255.38746112431429-0.387461124314292
1344.39304525139311-0.39304525139311
1465.392334001815270.60766599818473
1566.11326379590915-0.113263795909145
1655.38938422378653-0.38938422378653
1734.08317982770908-1.08317982770908
1875.741270034320371.25872996567963
1935.74127003432037-2.74127003432037
2055.30683478704278-0.306834787042785
2133.88287158593367-0.882871585933669
2256.1421037760948-1.1421037760948
2321.914521621632660.0854783783673403
2468.14135294136786-2.14135294136786
2532.537395099501600.462604900498395
2665.53739509950160.462604900498395
2765.646084011417030.353915988582967
2854.954821806037120.0451781939628805
2952.929672474356172.07032752564383
3076.702028560875890.297971439124111
3166.42705822387476-0.427058223874759
3254.837843429825080.162156570174922
3355.25607315951451-0.256073159514507
3445.16861909261657-1.16861909261657
3542.895599552009531.10440044799047
3666.04192287886408-0.0419228788640837
3754.91914081953710.0808591804629012
3854.27694049284290.723059507157103
3977.42575399805208-0.425753998052083
4055.11118656149049-0.111186561490486
4154.758498121462540.241501878537462
4266.08668852952238-0.0866885295223836
4355.33617231746166-0.336172317461661
4464.098398645549631.90160135445037
4575.618016654360561.38198334563944
4654.090806804508320.909193195491678
4754.851602800944730.148397199055271
4853.802143302142711.19785669785729
4967.96163180033853-1.96163180033853
5022.26551607917965-0.265516079179649
5145.14155623205455-1.14155623205455
5242.814963644146851.18503635585315
5367.66837121451023-1.66837121451023
5432.598040656190.401959343810002
5565.202354124172240.79764587582776
5665.928715709915640.0712842900843596
5754.788172869262320.211827130737680
58610.1057043809311-4.10570438093112
5910.6681656143381780.331834385661822
6052.476577672541772.52342232745823
6177.19495402597906-0.194954025979062
6244.00172464097907-0.00172464097907366
6353.741371980839821.25862801916018
6466.35696090937731-0.356960909377314
6543.377894398669600.622105601330403
6665.659186009689830.340813990310173
6766.24518851062446-0.245188510624456
6854.898693500733720.101306499266285
6956.85680771398819-1.85680771398819
7032.968913947800650.0310860521993497
7154.387461124314290.612538875685708
7266.65918600968983-0.659186009689827
7354.978770494447850.0212295055521520
7465.888559696206630.111440303793373
7566.36950398386554-0.369503983865540
7644.01569507385947-0.015695073859465
7743.304072873861080.695927126138923
7864.741270034320371.25872996567963
7977.64288062754604-0.642880627546036
8045.44732178683359-1.44732178683359
8154.070988323605480.929011676394524
8265.39607925025230.603920749747699
8366.96142445657461-0.961424456574614
8457.06980790376235-2.06980790376235
8531.490492264559651.50950773544035
8676.677023399890390.322976600109612
8765.874656492126070.125343507873927
8844.86555077201281-0.865550772012814
8943.945372680273080.0546273197269198
9055.85955397380869-0.859553973808687
9131.740660731261981.25933926873802
9276.844760380580030.155239619419968
9365.645900255572480.354099744427515
9466.52085169112248-0.520851691122482
9544.25345917518032-0.253459175180322
9654.558799182745520.44120081725448
9765.80574437988430.194255620115704
9853.661666617453281.33833338254672
9965.883210612467720.116789387532276
10067.39703601469283-1.39703601469283
10144.09143564240886-0.0914356424088597
10254.126277464349000.873722535650996
10366.60761554656854-0.60761554656854
10454.984844015219040.0151559847809555
10556.00460450489184-1.00460450489184
10644.71504222931575-0.715042229315748
10742.786587266921251.21341273307875
10866.89798225115588-0.897982251155876
10954.607615546568540.392384453431461
11067.32480009222538-1.32480009222538
11154.677023399890390.322976600109612
11266.06368258822399-0.0636825882239886
11355.22818813461624-0.228188134616236
11443.789129633702850.210870366297147
11565.98873242870350.0112675712965032
11642.631516493289321.36848350671068
11755.21349648790703-0.213496487907030
11854.015010395096420.984989604903584
11966.89580952781846-0.895809527818462
12033.73287961951631-0.732879619516309
12154.701756475198410.298243524801594
12242.329766769340991.67023323065901
12354.324800092225380.675199907774616
12455.54528977322559-0.545289773225589
12575.365100276629841.63489972337016
12654.278150533584150.721849466415853
12776.884785114814730.115214885185267
12854.559755947186050.440244052813947
12943.970249926276540.0297500737234563
13067.04743889134406-1.04743889134406
13143.443607268918700.556392731081304
13244.63929760503499-0.63929760503499
13343.266744929297660.733255070702336
13443.294971209479180.705028790520819
13565.544482361318930.455517638681069
13667.54514671215415-1.54514671215415
13754.598040656190.401959343810002
13833.30683478704278-0.306834787042785
13966.60324146023097-0.603241460230972
14055.1240164740858-0.124016474085796
14145.74396433323544-1.74396433323544
14255.20594703717998-0.205947037179979
14320.9023046563382771.09769534366172
14455.85945202728924-0.859452027289238
14578.21708940091477-1.21708940091477
14643.405436000088060.594563999911937
14743.197337075975820.802662924024185
14877.12999649282165-0.129996492821651
14965.856807713988190.143192286011814
15055.74628708251679-0.746287082516791
15154.457853441652670.542146558347333
15255.2769404928429-0.276940492842897
15376.771292243502290.228707756497709
15465.970377841258580.0296221587414193
15569.48008637435508-3.48008637435508
15654.700592311068690.299407688931307
15721.844760380580030.155239619419968
15844.46438616843817-0.464386168438171
15965.095364646690440.904635353309561
16054.71717941359940.282820586400598
16155.96160821241916-0.961608212419163
16254.967273577433010.0327264225669863
1634NANA
1644NANA


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
120.1189727149568540.2379454299137080.881027285043146
130.3291798260928590.6583596521857190.67082017390714
140.2018837861349710.4037675722699430.798116213865029
150.1883128900326310.3766257800652610.81168710996737
160.1374475374920150.274895074984030.862552462507985
170.1759206320995290.3518412641990590.82407936790047
180.1178055400318680.2356110800637370.882194459968132
190.8607809317936740.2784381364126510.139219068206326
200.8214119501947350.3571760996105300.178588049805265
210.7737723832462280.4524552335075430.226227616753772
220.7613784319492410.4772431361015190.238621568050759
230.6971984525862720.6056030948274560.302801547413728
240.6899146693598450.620170661280310.310085330640155
250.6402205575722720.7195588848554560.359779442427728
260.5793615408264910.8412769183470170.420638459173509
270.5087983283773290.9824033432453420.491201671622671
280.4475726880013340.8951453760026690.552427311998666
290.6307140900873620.7385718198252750.369285909912638
300.5700379074139340.8599241851721310.429962092586066
310.5395357466250760.9209285067498490.460464253374924
320.5387509496732420.9224981006535160.461249050326758
330.4829038808879670.9658077617759350.517096119112033
340.4524226613772080.9048453227544160.547577338622792
350.4264062202291320.8528124404582640.573593779770868
360.367138883441140.734277766882280.63286111655886
370.3308238560061820.6616477120123650.669176143993818
380.2958637972525170.5917275945050330.704136202747483
390.2647881668640440.5295763337280880.735211833135956
400.2200502601150080.4401005202300150.779949739884992
410.1815435886395010.3630871772790030.818456411360499
420.1485535201835780.2971070403671560.851446479816422
430.1180432606907350.236086521381470.881956739309265
440.2490457430795820.4980914861591640.750954256920418
450.2640692323891050.528138464778210.735930767610895
460.334199440246890.668398880493780.66580055975311
470.2899804043970620.5799608087941230.710019595602938
480.2847381414570050.5694762829140110.715261858542995
490.5429790012753190.9140419974493630.457020998724681
500.504152770353080.991694459293840.49584722964692
510.5729307623350050.854138475329990.427069237664995
520.5616390528286780.8767218943426450.438360947171322
530.656693258171820.686613483656360.34330674182818
540.6138916769477140.7722166461045710.386108323052286
550.6180293634727670.7639412730544660.381970636527233
560.5698326081819470.8603347836361050.430167391818053
570.5218962741974070.9562074516051860.478103725802593
580.9679440063692730.06411198726145320.0320559936307266
590.9601610281737640.07967794365247190.0398389718262359
600.9914115649569540.01717687008609280.0085884350430464
610.9893789641720120.02124207165597540.0106210358279877
620.985489322373160.02902135525368210.0145106776268411
630.9887094442575480.02258111148490470.0112905557424523
640.985466801502160.02906639699567810.0145331984978390
650.9828243270728030.03435134585439440.0171756729271972
660.977990587580960.04401882483808150.0220094124190407
670.9714901943578070.0570196112843860.028509805642193
680.9630751997625590.07384960047488260.0369248002374413
690.9794410505717040.04111789885659210.0205589494282961
700.9728900060281670.05421998794366670.0271099939718333
710.9676011226661930.06479775466761350.0323988773338068
720.9617655084476930.0764689831046130.0382344915523065
730.9513023939116880.09739521217662320.0486976060883116
740.9384832188456660.1230335623086670.0615167811543336
750.9247172286059940.1505655427880110.0752827713940055
760.906413061535280.1871738769294390.0935869384647195
770.8980981129618280.2038037740763430.101901887038172
780.9093658785207030.1812682429585930.0906341214792965
790.897436548974520.2051269020509590.102563451025479
800.922108224935980.1557835501280410.0778917750640206
810.9199382341833530.1601235316332940.080061765816647
820.9081352794957720.1837294410084560.091864720504228
830.9068962176296350.1862075647407290.0931037823703647
840.9603648133528970.07927037329420680.0396351866471034
850.9718727626443270.05625447471134520.0281272373556726
860.9649014828164840.07019703436703250.0350985171835162
870.9545668871912430.09086622561751330.0454331128087567
880.9519507985979410.09609840280411740.0480492014020587
890.938796898075970.1224062038480590.0612031019240296
900.9387168399010040.1225663201979930.0612831600989965
910.9462872438112350.1074255123775290.0537127561887646
920.9324939788800310.1350120422399370.0675060211199685
930.9198724711736360.1602550576527280.0801275288263639
940.906127000902820.1877459981943590.0938729990971796
950.8850437678446630.2299124643106740.114956232155337
960.8649281652126790.2701436695746420.135071834787321
970.8368596212565270.3262807574869450.163140378743473
980.858731353435330.2825372931293420.141268646564671
990.8297048388202980.3405903223594030.170295161179702
1000.8531997603593970.2936004792812060.146800239640603
1010.8230431261649340.3539137476701310.176956873835066
1020.8166383173218230.3667233653563550.183361682678177
1030.7933968521260590.4132062957478820.206603147873941
1040.7558881990454570.4882236019090850.244111800954543
1050.772432729612020.4551345407759610.227567270387981
1060.7611180846918070.4777638306163850.238881915308193
1070.7892084461460940.4215831077078110.210791553853906
1080.7702199720832090.4595600558335820.229780027916791
1090.7371494839349590.5257010321300830.262850516065041
1100.7544485572228040.4911028855543910.245551442777196
1110.7197591666867280.5604816666265450.280240833313272
1120.6810388951697420.6379222096605150.318961104830258
1130.6405352295019360.7189295409961280.359464770498064
1140.5974697787191170.8050604425617660.402530221280883
1150.5508825810194620.8982348379610750.449117418980538
1160.6538027610037580.6923944779924840.346197238996242
1170.6059709653862210.7880580692275590.394029034613779
1180.5869887818784820.8260224362430360.413011218121518
1190.549059200455060.9018815990898790.450940799544940
1200.5210220624036360.9579558751927270.478977937596364
1210.4689057264617810.9378114529235620.531094273538219
1220.5060775676289060.9878448647421880.493922432371094
1230.4891673033625230.9783346067250460.510832696637477
1240.441803694208410.883607388416820.55819630579159
1250.6347214925653750.730557014869250.365278507434625
1260.6094718736006680.7810562527986650.390528126399332
1270.5587093447277440.8825813105445120.441290655272256
1280.5127791141842090.9744417716315830.487220885815791
1290.4614673997347770.9229347994695530.538532600265223
1300.4527970053593850.905594010718770.547202994640615
1310.3903244064097270.7806488128194530.609675593590273
1320.3361030474506350.672206094901270.663896952549365
1330.3397764306860650.679552861372130.660223569313935
1340.2988722389596410.5977444779192820.701127761040359
1350.2798437852308440.5596875704616870.720156214769156
1360.37504950064610.75009900129220.6249504993539
1370.331528652974380.663057305948760.66847134702562
1380.2692925881843080.5385851763686160.730707411815692
1390.2126189322181210.4252378644362410.78738106778188
1400.1900277888422900.3800555776845810.80997221115771
1410.2287332674669300.4574665349338590.77126673253307
1420.1705392879190540.3410785758381080.829460712080946
1430.1658474416417090.3316948832834170.834152558358291
1440.1563514929020470.3127029858040940.843648507097953
1450.1595495213110120.3190990426220250.840450478688988
1460.1099165343337840.2198330686675670.890083465666216
1470.0824143549321070.1648287098642140.917585645067893
1480.06109856344757870.1221971268951570.938901436552421
1490.03697414333606380.07394828667212760.963025856663936
1500.01763888033447630.03527776066895260.982361119665524
1510.579734736540830.840530526918340.42026526345917
1520.5062145404537360.9875709190925270.493785459546264


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level00OK
5% type I error level90.0638297872340425NOK
10% type I error level230.163120567375887NOK