Multiple Linear Regression - Estimated Regression Equation
Q1[t] = + 2.51086190099763 + 0.153147981230979Q2[t] + 0.329067114611474Q3[t] -0.143219700899492Q4[t] + 0.210603864485456Q5[t] -0.0496364593353162Q6[t] + 0.0284126698621352Q7[t] -0.0267226772281885Gender[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)2.510861900997630.8369353.00010.0031490.001575
Q20.1531479812309790.0981461.56040.1207160.060358
Q30.3290671146114740.1016113.23850.0014720.000736
Q4-0.1432197008994920.091127-1.57160.1180840.059042
Q50.2106038644854560.0982092.14440.0335660.016783
Q6-0.04963645933531620.08665-0.57280.5675880.283794
Q70.02841266986213520.0914810.31060.7565350.378267
Gender-0.02672267722818850.089985-0.2970.766890.383445


Multiple Linear Regression - Regression Statistics
Multiple R0.343043687798392
R-squared0.11767897173832
Adjusted R-squared0.0775734704536986
F-TEST (value)2.93423515400476
F-TEST (DF numerator)7
F-TEST (DF denominator)154
p-value0.00652950598140511
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation1.36899103027849
Sum Squared Residuals288.617011911376


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
145.16163694611348-1.16163694611348
254.805524390450080.19447560954992
344.83320037503221-0.833200375032214
434.50719048186489-1.50719048186489
565.302567656734520.697432343265481
655.10207220644668-0.102072206446678
755.85101277338275-0.851012773382753
815.05093654382886-4.05093654382886
945.37413384746775-1.37413384746775
1054.987085041543190.0129149584568063
1164.419985443293341.58001455670666
1275.044017325547691.95598267445231
1354.702012868554420.297987131445584
1465.324497388132440.675502611867562
1554.77300509183520.226994908164796
1645.13262527860684-1.13262527860684
1774.090775698724252.90922430127575
1875.085277809549981.91472219045002
1965.13914792978820.860852070211796
2065.573472946166780.426527053833221
2123.81569059095335-1.81569059095335
2275.048197143886331.95180285611367
2354.423949442088460.576050557911535
2445.46106184968811-1.46106184968811
2574.74890992794722.2510900720528
2614.44393797722373-3.44393797722373
2714.44393797722373-3.44393797722373
2875.22799461275961.7720053872404
2944.69372642146304-0.693726421463039
3055.25504005381153-0.25504005381153
3154.69664595527170.3033540447283
3254.61967697673810.380323023261903
3344.63598205378401-0.635982053784008
3454.882237836723020.117762163276977
3554.253958904566950.746041095433052
3645.07169331012983-1.07169331012983
3775.055205890409161.94479410959084
3875.350361447403491.64963855259651
3975.035641350214661.96435864978534
4044.75606806498089-0.756068064980891
4175.256587416487861.74341258351214
4274.75160116849592.24839883150411
4344.97368067598917-0.973680675989173
4434.83986565617119-1.83986565617119
4524.31347548483991-2.31347548483991
4665.801824514902880.198175485097117
4744.56454162964777-0.564541629647774
4854.885139954493110.114860045506891
4945.02605653526702-1.02605653526702
5074.725031386133142.27496861386686
5144.57654087190557-0.576540871905572
5264.459340115118161.54065988488184
5375.319684817454961.68031518254504
5414.53464984437308-3.53464984437308
5555.09657331869167-0.0965733186916708
5645.19547531414473-1.19547531414473
5754.805524390450080.194475609549921
5855.29492836668149-0.294928366681486
5953.944923542162461.05507645783754
6053.673317253127581.32668274687242
6154.768538195350210.231461804649791
6254.587082279728690.412917720271308
6364.384373237556931.61562676244307
6434.37458758718305-1.37458758718305
6545.23455154334015-1.23455154334015
6665.361788931017470.638211068982526
6764.574650043845391.42534995615461
6834.72916525388657-1.72916525388657
6954.690717359412720.309282640587278
7024.74172104755825-2.74172104755824
7174.98568212705562.0143178729444
7275.053945605879181.94605439412082
7344.9007976246482-0.900797624648202
7464.601372721073581.39862727892642
7564.958852505547191.04114749445281
7634.8487652307542-1.8487652307542
7734.49128544628059-1.49128544628059
7864.9321298283191.067870171681
7975.228497510449471.77150248955053
8035.03408904521621-2.03408904521621
8115.30222419135067-4.30222419135067
8254.893501799979020.106498200020982
8354.595074000247830.404925999752174
8455.02724280335067-0.0272428033506735
8535.3218725522864-2.3218725522864
8676.1310459063280.868954093672004
8764.992558072245711.00744192775429
8843.376236594336650.623763405663348
8944.82048594730533-0.820485947305327
9055.21646940407975-0.216469404079746
9134.035517596376-1.035517596376
9275.388303408518411.61169659148159
9364.762562242627831.23743775737217
9465.616150200321310.383849799678689
9545.28944935362616-1.28944935362616
9655.35630991796215-0.356309917962147
9764.530936222346231.46906377765377
9854.390037057610890.609962942389106
9964.109728493375321.89027150662468
10065.366342933765230.633657066234768
10144.25763499835529-0.25763499835529
10255.22034632901469-0.220346329014691
10364.439673516946211.56032648305379
10454.95045395868320.0495460413168012
10555.12806308469764-0.12806308469764
10645.16703457842147-1.16703457842147
10744.24590978110963-0.245909781109626
10865.164668310505150.835331689494854
10955.62368254609411-0.623682546094114
11065.463402260551940.536597739448059
11155.22587408516126-0.225874085161257
11264.506332447605161.49366755239484
11354.728079145199910.271920854800091
11445.00606717327133-1.00606717327133
11565.685377032573620.314622967426379
11644.98219003773547-0.982190037735467
11754.998534827498530.00146517250147366
11855.01001869835-0.0100186983500022
11964.240421737680211.75957826231979
12033.34480749246041-0.344807492460414
12155.29277276281629-0.292772762816293
12245.31222050577568-1.31222050577568
12354.46238566537630.537614334623701
12454.432235062319410.567764937680586
12575.750794969704871.24920503029513
12655.85753300258523-0.857533002585225
12775.352358392883471.64764160711653
12854.643613506570890.356386493429114
12944.66079971708554-0.660799717085542
13066.14994915963702-0.149949159637024
13145.07726023197835-1.07726023197835
13245.31391049840962-1.31391049840962
13345.29587571601262-1.29587571601262
13444.91745922021218-0.917459220212184
13565.560641721204780.439358278795222
13664.894534593779471.10546540622053
13754.481086676980890.518913323019106
13834.69591415629447-1.69591415629447
13966.11921595361073-0.119215953610735
14055.62252699703573-0.622526997035734
14144.52916078524297-0.529160785242968
14254.765159810863550.234840189136445
14324.60603507437976-2.60603507437976
14454.611305887707840.388694112292162
14575.784649951244251.21535004875575
14644.77058330022403-0.770583300224031
14744.41063030355387-0.410630303553869
14875.644962911645051.35503708835495
14965.663723534996470.33627646500353
15055.07658395669598-0.0765839566959777
15155.5780566155569-0.578056615556897
15255.55113230465167-0.55113230465167
15375.295302551090611.70469744890939
15465.411445265052470.588554734947529
15565.013151318188690.986848681811314
15654.889092282102220.110907717897781
15724.42432174725425-2.42432174725425
15844.25660300708528-0.256603007085278
15964.682394210943271.31760578905673
16054.513864793377960.486135206622038
16155.05127424003017-0.0512742400301658
16254.965405686913550.0345943130864464


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
110.05331320745244660.1066264149048930.946686792547553
120.1580986077448370.3161972154896750.841901392255163
130.1038304613226380.2076609226452770.896169538677362
140.07086601385214630.1417320277042930.929133986147854
150.1405268114168440.2810536228336890.859473188583156
160.09534558190287410.1906911638057480.904654418097126
170.07548570867296770.1509714173459350.924514291327032
180.4699502739781470.9399005479562940.530049726021853
190.4354138972883970.8708277945767940.564586102711603
200.4857924409959660.9715848819919320.514207559004034
210.8945399123961190.2109201752077610.105460087603881
220.8865439754340480.2269120491319040.113456024565952
230.847036928835330.3059261423293410.15296307116467
240.8615797206468290.2768405587063410.138420279353171
250.8434469380988450.3131061238023110.156553061901156
260.9602211226543210.07955775469135770.0397788773456788
270.98470295298170.03059409403659970.0152970470182999
280.9887017518586720.02259649628265640.0112982481413282
290.9836638218370470.03267235632590540.0163361781629527
300.9773400707744040.04531985845119130.0226599292255957
310.9754712138156530.04905757236869450.0245287861843473
320.9678933901125340.06421321977493140.0321066098874657
330.9633914092737040.07321718145259290.0366085907262964
340.9505637915687380.0988724168625240.049436208431262
350.9414898263823630.1170203472352740.0585101736176368
360.9275260294670020.1449479410659960.0724739705329978
370.9285580883276830.1428838233446340.0714419116723168
380.9250008829084390.1499982341831210.0749991170915607
390.9619533892733130.07609322145337480.0380466107266874
400.9537276223791630.09254475524167420.0462723776208371
410.9565067898620440.08698642027591270.0434932101379564
420.9797985228215540.04040295435689270.0202014771784463
430.9757543359918690.04849132801626230.0242456640081311
440.9788513083227330.04229738335453380.0211486916772669
450.9821798363281130.03564032734377470.0178201636718873
460.976721239752630.04655752049473980.0232787602473699
470.9688747756304340.06225044873913210.0311252243695661
480.9594168095733060.08116638085338850.0405831904266942
490.9516482354721370.0967035290557270.0483517645278635
500.9674295537658580.06514089246828440.0325704462341422
510.9583956413332790.08320871733344270.0416043586667213
520.9693940322443820.06121193551123680.0306059677556184
530.9758616928957740.04827661420845150.0241383071042258
540.9979732447088140.004053510582372130.00202675529118606
550.9970531759699030.005893648060193560.00294682403009678
560.9964484166048110.007103166790378850.00355158339518943
570.9950594395517290.009881120896542780.00494056044827139
580.9932557501836120.01348849963277630.00674424981638813
590.9941574815876890.01168503682462250.00584251841231125
600.9956686793513880.008662641297223650.00433132064861182
610.9943786151246120.01124276975077570.00562138487538786
620.9931465989049190.01370680219016150.00685340109508076
630.9948087565654150.01038248686917050.00519124343458524
640.9947686905765040.01046261884699180.00523130942349592
650.9936126396923420.01277472061531510.00638736030765757
660.9917627780638320.01647444387233650.00823722193616823
670.9920623984944310.01587520301113880.00793760150556942
680.9932657822885890.01346843542282160.00673421771141081
690.9909210392352450.01815792152950930.00907896076475466
700.9965130112464150.006973977507169060.00348698875358453
710.9980107332536020.003978533492795240.00198926674639762
720.9988856610014580.002228677997084550.00111433899854227
730.9985542001424480.002891599715104850.00144579985755242
740.9986255027054250.002748994589149510.00137449729457476
750.9984521878759910.003095624248018050.00154781212400902
760.9984904034041640.003019193191672690.00150959659583634
770.9981652552470220.003669489505955450.00183474475297772
780.9980728632844690.003854273431061460.00192713671553073
790.9992066751752570.001586649649486110.000793324824743057
800.9993018445235650.001396310952869360.000698155476434682
810.9999890846212232.18307575544339e-051.09153787772169e-05
820.9999821993414693.56013170628925e-051.78006585314463e-05
830.9999706586770635.86826458740431e-052.93413229370215e-05
840.9999610133022067.79733955884163e-053.89866977942082e-05
850.9999856472362822.87055274356744e-051.43527637178372e-05
860.9999846650781083.0669843784781e-051.53349218923905e-05
870.9999824091373133.51817253734779e-051.75908626867389e-05
880.9999757400928284.85198143440796e-052.42599071720398e-05
890.9999640440311527.1911937695494e-053.5955968847747e-05
900.9999466328075820.0001067343848365.33671924180002e-05
910.9999377941198530.0001244117602937846.22058801468922e-05
920.9999610286521147.79426957711192e-053.89713478855596e-05
930.9999590058399298.19883201420376e-054.09941600710188e-05
940.9999359840276110.0001280319447777386.40159723888692e-05
950.99994080126020.0001183974795992655.91987397996323e-05
960.9999152638784360.0001694722431289818.47361215644907e-05
970.9999210195821020.0001579608357956977.89804178978484e-05
980.999884139643720.0002317207125594550.000115860356279727
990.9999445005687640.0001109988624711665.5499431235583e-05
1000.9999201334437820.0001597331124357597.98665562178795e-05
1010.9998809183550120.0002381632899749920.000119081644987496
1020.9998195444964270.0003609110071467950.000180455503573397
1030.9998884122183120.0002231755633759350.000111587781687967
1040.9998227864782610.0003544270434771980.000177213521738599
1050.9997099404206110.0005801191587788710.000290059579389436
1060.9997212163945340.000557567210931770.000278783605465885
1070.9995631317200590.0008737365598820870.000436868279941044
1080.999545514370450.0009089712590996910.000454485629549846
1090.999330687484670.001338625030659910.000669312515329953
1100.9989599338086410.002080132382718810.00104006619135941
1110.9987322655929360.002535468814128460.00126773440706423
1120.9986740395312930.002651920937413970.00132596046870698
1130.9981284941870190.003743011625961180.00187150581298059
1140.9977547572786420.004490485442716280.00224524272135814
1150.996547833568250.006904332863499090.00345216643174954
1160.995267487135420.009465025729160440.00473251286458022
1170.9933368813138860.01332623737222810.00666311868611405
1180.9906318812256410.0187362375487180.00936811877435898
1190.9948452536091050.01030949278178920.00515474639089459
1200.9922233278900630.0155533442198750.00777667210993748
1210.988535432097130.02292913580573980.0114645679028699
1220.9895478477413120.02090430451737660.0104521522586883
1230.9852166265294430.02956674694111420.0147833734705571
1240.9843748335313680.03125033293726430.0156251664686321
1250.9797820085545070.04043598289098540.0202179914454927
1260.9794839553514890.0410320892970220.020516044648511
1270.9911899698414790.01762006031704190.00881003015852093
1280.9877534176710020.02449316465799570.0122465823289978
1290.9831030291353940.0337939417292120.016896970864606
1300.9748623690978620.05027526180427560.0251376309021378
1310.9792011603093040.04159767938139270.0207988396906964
1320.9780496120973690.04390077580526130.0219503879026306
1330.9873362058963730.02532758820725450.0126637941036272
1340.981584968727840.03683006254431970.0184150312721599
1350.9728984343850020.05420313122999660.0271015656149983
1360.9610730067752460.07785398644950780.0389269932247539
1370.9441574642901120.1116850714197760.0558425357098881
1380.9469464487506190.1061071024987610.0530535512493807
1390.9321271985259950.1357456029480090.0678728014740046
1400.9256243171689870.1487513656620250.0743756828310126
1410.9063765045246370.1872469909507250.0936234954753627
1420.8955997818460690.2088004363078630.104400218153931
1430.9635752762606190.07284944747876230.0364247237393812
1440.9451136893884610.1097726212230770.0548863106115387
1450.9359224836108970.1281550327782070.0640775163891033
1460.9416252490393280.1167495019213450.0583747509606725
1470.8951562462361210.2096875075277590.104843753763879
1480.8433421865885860.3133156268228270.156657813411414
1490.7427594696952110.5144810606095790.257240530304789
1500.6363423917836850.7273152164326290.363657608216315
1510.580481274947620.8390374501047610.41951872505238


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level520.368794326241135NOK
5% type I error level910.645390070921986NOK
10% type I error level1080.765957446808511NOK