Multiple Linear Regression - Estimated Regression Equation
Y_t[t] = + 543.179209911223 + 1.16860440434678X_1t[t] + 1.83917635776336X_2t[t] + 1.21611151450579X_3t[t] + 1.02513487046208X_4t[t] -3.36894732142928t + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)543.179209911223196.295682.76710.0064310.003215
X_1t1.168604404346780.07469315.645500
X_2t1.839176357763360.10789617.045900
X_3t1.216111514505790.04105629.621100
X_4t1.025134870462080.04666521.968100
t-3.368947321429280.510045-6.605200


Multiple Linear Regression - Regression Statistics
Multiple R0.995896303894516
R-squared0.991809448110757
Adjusted R-squared0.991512688984335
F-TEST (value)3342.13629777612
F-TEST (DF numerator)5
F-TEST (DF denominator)138
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation81.9500414576458
Sum Squared Residuals926781.682697561


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
11491514916.2680887553-1.2680887552735
21177311857.0264700271-84.0264700271269
31160811755.1567365281-147.15673652815
41146811602.7374451341-134.737445134088
51151111543.1558489896-32.1558489895916
61120011249.7412139574-49.741213957414
71116411252.1355839829-88.1355839828744
81096011044.6904098699-84.6904098699172
91066710781.6492191359-114.649219135902
101155611712.3647835678-156.364783567842
111137211480.1265667893-108.126566789294
121233312027.6937412484305.306258751603
131310212949.2289955163152.771004483703
141111511076.371522007738.6284779923386
151257212578.0686357972-6.0686357971692
161155711559.5381615317-2.53816153169688
171205912088.1691339455-29.1691339454685
181142011410.75708439359.24291560648886
191118511013.8260201519171.173979848139
201111310893.4260179672219.573982032771
211070610502.6115344097203.388465590252
221152311387.6138780156135.38612198438
231139111267.3770489365123.622951063472
241263412378.4289443979255.57105560206
251346913278.4080682729190.591931727137
261173511669.174383860165.8256161398678
271328113223.232712896857.7672871031933
281196812033.8878233498-65.8878233498179
291162311623.6218378726-0.621837872594722
301108411147.3631208461-63.3631208460878
311150911451.217857543657.7821424564428
321113411247.7411691982-113.74116919818
331043810383.153534296354.8464657037024
341153011574.787623508-44.7876235080021
351149111478.12480093212.8751990680394
361309313088.25079114244.74920885761829
371310613064.305228982141.6947710178924
381130511375.1012162013-70.1012162013339
391311313144.6294495056-31.6294495056006
401220312150.549541062552.4504589375398
411130911427.3885038344-118.388503834381
421108811084.40533402553.59466597448785
431123411140.647434322693.3525656774188
441161911539.92651872779.0734812730107
451094210957.173178101-15.1731781009696
461144511386.561163731858.4388362682217
471129111363.0807557447-72.0807557447392
481328113271.13593869319.86406130689028
491372613724.72604435171.2739556483387
501130011318.8132103628-18.8132103627832
511198312021.8743749971-38.8743749970956
521109211141.055109203-49.0551092029949
531109311214.5001257251-121.500125725083
541069210863.4400772341-171.440077234077
551078610817.7201363308-31.7201363307651
561116611202.1666911467-36.166691146726
571055310587.1952876145-34.1952876145317
581110311106.4564644271-3.45646442706535
591096911016.4263952093-47.4263952093036
601209012075.659306226914.3406937730788
611254412582.4409066394-38.4409066394401
621226412279.0392193146-15.0392193145671
631378313933.3853226723-150.385322672287
641121411267.6757683801-53.6757683800812
651145311416.033915784536.9660842154957
661088310946.8160072616-63.8160072615728
671038110356.888857641724.1111423583492
681034810311.995838201536.0041617985144
69100249965.9797929676758.0202070323282
701080510824.7928928887-19.7928928887295
711079610894.9456600143-98.945660014263
721190711998.2528062645-91.2528062645424
731226112205.057722392955.9422776070702
741137711411.5811190114-34.5811190113686
751268912678.490178258910.509821741095
761147411580.7151318706-106.715131870618
771099210975.354911793816.6450882061717
781076410844.2334924165-80.2334924165347
791216412169.6712605155-5.67126051547433
801040910254.1406064621154.859393537863
811039810383.568208857614.4317911424124
821034910455.0245448773-106.024544877268
831086510861.34043564713.65956435293107
841163011650.7475242053-20.7475242052648
851222112239.441035063-18.441035063015
861088410931.9936345979-47.9936345978577
871201911955.209403018563.790596981476
881102111105.7646202771-84.7646202771221
891079910801.8286731016-2.82867310157428
901042310492.8009888879-69.8009888879449
911048410425.390577033158.6094229668937
921045010458.5938440908-8.59384409084922
9399069902.014885090323.9851149096803
941104911005.379922245943.6200777541166
951128111284.9303789549-3.9303789549026
961248512512.2888027185-27.2888027184667
971284912796.897491390652.1025086093708
981138011443.4698585758-63.4698585757659
991207912066.495657534712.5043424652911
1001136611397.3666909499-31.3666909498944
1011132811315.356519377812.643480622186
1021044410480.3230962593-36.3230962593505
1031085410736.8355765072117.164423492774
1041043410355.712706205878.2872937942147
1051013710204.7446952981-67.7446952980938
1061099211010.5214424436-18.5214424436253
1071090610942.7122512628-36.7122512627499
1081236712351.233746828815.7662531712066
1091437114372.9851966995-1.98519669953394
1101169511653.37361744741.6263825530174
1111154611546.173750331-0.173750331042818
1121092210954.0835785842-32.0835785841988
1131067010701.6693920559-31.6693920559257
1141025410251.24673243092.75326756909892
1151057310562.728024234210.2719757658242
1161023910274.5957296726-35.5957296726312
1171025310198.318458415154.681541584866
1181117611237.5564115563-61.5564115562869
1191071910697.269797063521.7302029365275
1201181711871.3049325007-54.3049325006818
1211248712498.2085249836-11.208524983599
1221151911528.043457392-9.04345739204921
1231202511990.495140251434.5048597486472
1241097610797.7091809859178.290819014091
1251127611109.6459615189166.354038481074
1261065710665.848875379-8.84887537898897
1271114111099.76144786541.2385521350101
1281042310406.742453496116.2575465039248
1291064010555.669826980284.3301730198412
1301142611466.8892797423-40.8892797423077
1311094810925.138810861422.8611891385534
1321254012655.8662323966-115.866232396596
1331220012226.60648228-26.6064822799891
1341064410638.2769394355.72306056496531
1351204411929.3920281867114.607971813331
1361133811371.1929824499-33.1929824498633
1371129211274.404454014117.5955459858633
1381061210572.317271927539.6827280725319
1391099511022.210032476-27.2100324759534
1401068610749.0796281693-63.0796281693284
1411063510630.82946036314.17053963694008
1421128511272.225261564912.774738435087
1431147511464.046159097410.9538409025592
1441253512554.5515706031-19.5515706031395


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
90.193037054518620.386074109037240.80696294548138
100.1315863818575620.2631727637151240.868413618142438
110.0727037273199850.145407454639970.927296272680015
120.8545022671291040.2909954657417920.145497732870896
130.8531706020192660.2936587959614690.146829397980734
140.865796950477560.268406099044880.13420304952244
150.8397114143882180.3205771712235630.160288585611782
160.9041607489813710.1916785020372580.095839251018629
170.9631738497600310.07365230047993890.0368261502399695
180.9472858757948090.1054282484103820.052714124205191
190.9515906364809760.09681872703804890.0484093635190245
200.9852418654936920.02951626901261710.0147581345063085
210.9882501083628140.02349978327437230.0117498916371861
220.9853432900707580.02931341985848310.0146567099292415
230.9835909370540920.03281812589181570.0164090629459079
240.9940638947094290.01187221058114150.00593610529057076
250.997037737780380.005924524439239890.00296226221961994
260.9996205069640810.0007589860718388590.000379493035919429
270.9999422054541470.0001155890917059165.77945458529578e-05
280.9999979564975834.08700483368542e-062.04350241684271e-06
290.9999987141788042.57164239165047e-061.28582119582523e-06
300.9999996812441176.37511765531777e-073.18755882765888e-07
310.9999995721555048.55688991877352e-074.27844495938676e-07
320.9999998923172422.15365515498961e-071.0768275774948e-07
330.9999998578350032.84329994855052e-071.42164997427526e-07
340.999999911545741.76908519993808e-078.84542599969042e-08
350.9999998935741992.12851600989999e-071.06425800494999e-07
360.9999998758952772.48209446810428e-071.24104723405214e-07
370.9999998729439152.54112170147989e-071.27056085073995e-07
380.9999999606254767.8749048418322e-083.9374524209161e-08
390.999999958452058.30959005624224e-084.15479502812112e-08
400.9999999497069231.0058615432611e-075.02930771630549e-08
410.999999982439123.51217602446366e-081.75608801223183e-08
420.9999999667143886.65712233414961e-083.32856116707481e-08
430.999999974847935.03041399475913e-082.51520699737956e-08
440.9999999836562743.26874516082403e-081.63437258041202e-08
450.9999999722768055.54463902408326e-082.77231951204163e-08
460.9999999745580365.08839274411269e-082.54419637205634e-08
470.999999972405265.51894799737363e-082.75947399868682e-08
480.9999999589379838.21240335677408e-084.10620167838704e-08
490.9999999414769521.17046095960067e-075.85230479800336e-08
500.9999998995909622.00818076037649e-071.00409038018825e-07
510.999999832950333.34099339070451e-071.67049669535226e-07
520.9999997157965195.68406962319328e-072.84203481159664e-07
530.9999997867831914.26433618047185e-072.13216809023593e-07
540.9999999600544497.98911019934677e-083.99455509967339e-08
550.9999999213338751.57332248962259e-077.86661244811293e-08
560.9999998523970562.95205887380542e-071.47602943690271e-07
570.9999997216636035.56672793719032e-072.78336396859516e-07
580.9999995057697199.88460562933245e-074.94230281466622e-07
590.9999991103479591.77930408305735e-068.89652041528676e-07
600.9999987349224512.53015509907404e-061.26507754953702e-06
610.999997780662534.43867494019273e-062.21933747009636e-06
620.9999959976961918.00460761870213e-064.00230380935107e-06
630.999998449841973.10031606008196e-061.55015803004098e-06
640.9999978258662164.34826756878054e-062.17413378439027e-06
650.9999973051715055.38965698998157e-062.69482849499078e-06
660.9999964327196227.13456075578553e-063.56728037789277e-06
670.999994649783291.07004334209377e-055.35021671046884e-06
680.9999931920593291.36158813424105e-056.80794067120525e-06
690.999992623317971.47533640607804e-057.37668203039022e-06
700.9999872963018952.54073962107189e-051.27036981053594e-05
710.9999867937401342.64125197312698e-051.32062598656349e-05
720.9999835533097693.28933804622483e-051.64466902311241e-05
730.9999841563570253.168728594937e-051.5843642974685e-05
740.9999734031955995.31936088012472e-052.65968044006236e-05
750.9999604991176287.90017647444254e-053.95008823722127e-05
760.9999669568205046.60863589912784e-053.30431794956392e-05
770.9999488440272220.000102311945556485.11559727782401e-05
780.9999462223717760.0001075552564477095.37776282238547e-05
790.999912240422350.000175519155300798.77595776503948e-05
800.9999927119328651.45761342693515e-057.28806713467576e-06
810.9999891554013622.16891972762327e-051.08445986381163e-05
820.9999933978385051.32043229894936e-056.6021614947468e-06
830.9999885843626462.28312747081782e-051.14156373540891e-05
840.9999798185877674.03628244660794e-052.01814122330397e-05
850.9999664724377636.70551244733256e-053.35275622366628e-05
860.9999638455003897.2308999222361e-053.61544996111805e-05
870.9999634784595627.30430808769406e-053.65215404384703e-05
880.9999629991963937.40016072139159e-053.70008036069579e-05
890.9999365558028950.0001268883942092886.3444197104644e-05
900.9999462027791020.0001075944417956365.37972208978178e-05
910.9999288348638250.000142330272350567.116513617528e-05
920.9998770067525280.0002459864949444330.000122993247472216
930.9997934525403490.0004130949193013530.000206547459650677
940.9997273884095130.0005452231809743150.000272611590487158
950.999547663862370.0009046722752599170.000452336137629959
960.9992612116590890.00147757668182270.00073878834091135
970.9992723588403960.001455282319208740.00072764115960437
980.9991406369771230.001718726045753450.000859363022876723
990.9987075323054090.00258493538918250.00129246769459125
1000.9980438423530720.003912315293856330.00195615764692817
1010.9970902518510240.005819496297951090.00290974814897555
1020.9959296453634230.008140709273154190.0040703546365771
1030.9977336079982330.00453278400353310.00226639200176655
1040.9980411596846540.003917680630692970.00195884031534649
1050.997753869773870.004492260452260490.00224613022613024
1060.996494380962370.007011238075259210.0035056190376296
1070.9953544525658320.009291094868335280.00464554743416764
1080.9929920612107220.0140158775785550.00700793878927749
1090.9900982210926360.01980355781472810.00990177890736407
1100.985924091253330.02815181749334060.0140759087466703
1110.9789772074330820.04204558513383690.0210227925669185
1120.9755223468717680.04895530625646420.0244776531282321
1130.9713972092544960.05720558149100780.0286027907455039
1140.9603004528500190.07939909429996250.0396995471499812
1150.9436776224395430.1126447551209140.0563223775604568
1160.9342528470525780.1314943058948440.0657471529474221
1170.9106459040372290.1787081919255430.0893540959627713
1180.9278237897228960.1443524205542080.072176210277104
1190.9124410359208240.1751179281583530.0875589640791764
1200.9178288067749910.1643423864500190.0821711932250094
1210.8936682306430320.2126635387139370.106331769356968
1220.9007350556043350.1985298887913290.0992649443956646
1230.8620518833884960.2758962332230080.137948116611504
1240.9123038915400810.1753922169198380.0876961084599192
1250.9840300918906080.03193981621878310.0159699081093916
1260.9754691883985920.04906162320281550.0245308116014077
1270.9840101013351220.03197979732975520.0159898986648776
1280.9718720974259910.05625580514801750.0281279025740087
1290.9900157167354620.01996856652907690.00998428326453845
1300.9863640911820230.02727181763595480.0136359088179774
1310.970266649847740.05946670030452010.0297333501522601
1320.9569396367396320.08612072652073570.0430603632603679
1330.9119630326234510.1760739347530980.088036967376549
1340.8337196646884290.3325606706231420.166280335311571
1350.9041872201460240.1916255597079510.0958127798539757


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level830.653543307086614NOK
5% type I error level980.771653543307087NOK
10% type I error level1050.826771653543307NOK