Multiple Linear Regression - Estimated Regression Equation
Passagiers[t] = + 1239719.44871795 + 11148.1183835657t -72174.3525266157M1[t] -158838.839331234M2[t] + 297898.515969410M3[t] + 429204.502849003M4[t] + 782780.2265707M5[t] + 773356.002923976M6[t] + 1211480.77927725M7[t] + 1183314.60826211M8[t] + 885381.174089069M9[t] + 797206.634652871M10[t] + 110446.229494676M11[t] + e[t]


Multiple Linear Regression - Ordinary Least Squares
VariableParameterS.D.T-STAT
H0: parameter = 0
2-tail p-value1-tail p-value
(Intercept)1239719.4487179572513.56732717.096400
t11148.1183835657281.51747139.600100
M1-72174.352526615790752.168564-0.79530.427330.213665
M2-158838.83933123490748.238717-1.75030.0815020.040751
M3297898.51596941090745.1820523.28280.0012010.000601
M4429204.50284900390742.9986574.72994e-062e-06
M5782780.226570790741.6885948.626500
M6773356.00292397690741.2519038.522700
M71211480.7792772590741.68859413.350900
M81183314.6082621190742.99865713.040300
M9885381.17408906990745.1820529.756800
M10797206.63465287190748.2387178.784800
M11110446.22949467691959.7406931.2010.2310740.115537


Multiple Linear Regression - Regression Statistics
Multiple R0.956090738463255
R-squared0.914109500175212
Adjusted R-squared0.909270598776632
F-TEST (value)188.908478367328
F-TEST (DF numerator)12
F-TEST (DF denominator)213
p-value0
Multiple Linear Regression - Residual Statistics
Residual Standard Deviation275877.929356579
Sum Squared Residuals16211138595993.7


Multiple Linear Regression - Actuals, Interpolation, and Residuals
Time or IndexActualsInterpolation
Forecast
Residuals
Prediction Error
111498221178693.21457489-28871.2145748946
210869791103176.84615384-16197.8461538373
312766741571062.31983806-294388.319838056
415225221713516.42510121-190994.425101213
517421172078240.26720648-336123.267206477
617372752079964.16194332-342689.161943320
719799002529237.05668016-549337.056680164
820610362512219.00404858-451183.004048583
918679432225433.68825912-357490.688259116
1017077522148407.26720647-440655.267206474
1112987561472794.98043185-174038.980431851
1212818141373496.86932074-91682.8693207373
1312811511312470.63517769-31319.6351776881
1411649761236954.26675664-71978.2667566359
1514543291704839.74044085-250510.740440846
1616452881847293.84570400-202005.845704004
1718177432212017.68780927-394274.687809267
1818957852213741.58254611-317956.582546109
1922363112663014.47728295-426703.477282951
2022959512645996.42465137-350045.424651372
2120873152359211.1088619-271896.108861898
2219808912282184.68780927-301293.687809267
2314654461606572.40103464-141126.401034638
2414450261507274.28992353-62248.289923527
2514881201446248.0557804841871.9442195228
2613383331370731.68735942-32398.6873594247
2717157891838617.16104363-122828.161043635
2818060901981071.26630679-174981.266306793
2920833162345795.10841206-262479.108412056
3020922782347519.0031489-255241.003148898
3124308002796791.89788574-365991.89788574
3224248942779773.84525416-354879.845254161
3322990162492988.52946469-193972.529464687
3421306882415962.10841206-285274.108412056
3516522211740349.82163743-88128.8216374267
3616081621641051.71052632-32889.7105263158
3716470741580025.4763832767048.5236167338
3814796911504509.10796221-24818.1079622138
3918849781972394.58164642-87416.5816464239
4020078982114848.68690958-106950.686909582
4122089542479572.52901484-270618.529014845
4222171642481296.42375169-264132.423751687
4325342912930569.31848853-396278.318488529
4425603122913551.26585695-353239.26585695
4524290692626765.95006748-197696.950067476
4623150772549739.52901484-234662.529014845
4717996081874127.24224022-74519.242240216
4817725901774829.13112911-2239.1311291052
4917447991713802.8969860630996.1030139447
5016590931638286.5285650020806.4714349972
5120998212106172.00224921-6351.00224921276
5221357362248626.10751237-112890.107512371
5324278942613349.94961763-185455.949617634
5424688822615073.84435448-146191.844354476
5527032173064346.73909132-361129.739091318
5627668413047328.68645974-280487.686459739
5726552362760543.37067027-105307.370670265
5825503732683516.94961763-133143.949617634
5920520972007904.6628430144192.3371569951
6019980551908606.5517318989448.448268106
6119207481847580.3175888473167.6824111557
6218766941772063.94916779104630.050832208
6323809302239949.422852140980.577147998
6424674022382403.5281151684998.4718848403
6527707712747127.3702204223643.6297795772
6627813402748851.2649572632488.7350427350
6731439263198124.15969411-54198.1596941069
6831722353181106.10706253-8871.10706252829
6929525402894320.7912730558219.2087269459
7029208772817294.37022042103582.629779577
7123845522141682.08344579242869.916554206
7222489872042383.97233468206603.027665317
7322086161981357.73819163227258.261808367
7421787561905841.36977058272914.630229419
7526328702373726.84345479259143.156545209
7627069052516180.94871795190724.051282051
7730297452880904.79082321148840.209176788
7830154022882628.68556005132773.314439946
7933914143331901.580296959512.4197031043
8035078053314883.52766532192921.472334683
8131778523028098.21187584149753.788124157
8231429612951071.79082321191889.209176788
8325458152275459.50404858270355.495951417
8424140072176161.39293747237845.607062528
8523725782115135.15879442257442.841205578
8623326642039618.79037337293045.20962663
8728253282507504.26405758317823.73594242
8829014782649958.36932074251519.630679262
8932639553014682.211426249272.788573999
9032267383016406.10616284210331.893837157
9136107863465679.00089969145106.999100315
9237092743448660.94826811260613.051731894
9334671853161875.63247863305309.367521368
9434496463084849.211426364796.788573999
9528029512409236.92465137393714.075348628
9624625302309938.81354026152591.186459739
9724906452248912.57939721241732.420602789
9825615202173396.21097616388123.789023841
9930675542641281.68466037426272.315339631
10032269512783735.78992353443215.210076473
10135464933148459.63202879398033.36797121
10234927873150183.52676563342603.473234368
10339522633599456.42150247352806.578497526
10439320723582438.36887090349633.631129105
10537202843295653.05308142424630.946918579
10636515553218626.63202879432928.36797121
10729149722543014.34525416371957.654745839
10827135142443716.23414305269797.76585695
10927039972382690321307
11025913732307173.63157895284199.368421052
11131637482775059.10526316388688.894736842
11233551372917513.21052632437623.789473684
11336137023282237.05263158331464.947368421
11436867733283960.94736842402812.052631579
11540987163733233.84210526365482.157894737
11640635173716215.78947368347301.210526316
11735514893429430.47368421122058.526315790
11832266633352404.05263158-125741.052631579
11926568422676791.76585695-19949.76585695
12025974842577493.6547458419990.3452541609
12125723992516467.4206027955931.5793972106
12225966312440951.05218174155679.947818263
12331652252908836.52586595256388.474134053
12433031453051290.63112911251854.368870895
12536982473416014.47323437282232.526765632
12636686313417738.36797121250892.63202879
12741304333867011.26270805263421.737291948
12841314003849993.21007647281406.789923527
12938643583563207.894287301150.105713001
13037211103486181.47323437234928.526765632
13128925322810569.1864597481962.813540261
13228434512711271.07534863132179.924651372
13327475022650244.8412055897257.1587944216
13426687752574728.4727845394046.527215474
13530186023042613.94646874-24011.9464687359
13630133923185068.05173189-171676.051731894
13733936573549791.89383716-156134.893837157
13835442333551515.788574-7282.78857399904
13940758324000788.6833108475043.316689159
14040329233983770.6306792649152.3693207378
14137345093696985.3148897937523.6851102118
14237612853619958.89383716141326.106162843
14329700902944346.6070625325743.3929374720
14428478492845048.495951422800.50404858279
14527416802784022.26180837-42342.2618083675
14628306392708505.89338731122133.106612685
14732576733176391.3670715281281.6329284751
14834800853318845.47233468161239.527665317
14938432713683569.31443995159701.685560054
15037969613685293.20917679111667.790823212
15143377674134566.10391363203200.89608637
15242436304117548.05128205126081.948717949
15339272023830762.7354925896439.264507423
15439152963753736.31443995161559.685560054
15530873963078124.027665329271.97233468318
15629637922978825.91655421-15033.9165542061
15729557922917799.6824111637992.3175888436
15828299252842283.31399010-12358.3139901039
15932811953310168.78767431-28973.7876743139
16035480113452622.8929374795388.1070625282
16140596483817346.73504274242301.264957265
16239411753819070.62977958122104.370220423
16345285944268343.52451642260250.475483581
16444331514251325.47188484181825.528115160
16541457373964540.15609537181196.843904634
16640771323887513.73504274189618.264957265
16731985193211901.44826811-13382.4482681060
16830786603112603.33715700-33943.3371569953
16930282023051577.10301395-23375.1030139454
17028586422976060.73459289-117418.734592893
17133989543443946.20827710-44992.208277103
17238088833586400.31354026222482.686459739
17341759613951124.15564552224836.844354476
17442275423952848.05038237274693.949617634
17547446164402120.94511921342495.054880792
17646080124385102.89248763222909.107512371
17742950494098317.57669816196731.423301845
17842011444021291.15564552179852.844354476
17933532763345678.868870897597.131129105
18032868513246380.7577597840470.2422402157
18131698893185354.52361673-15465.5236167344
18230517203109838.15519568-58118.1551956821
18336954263577723.62887989117702.371120108
18439055013720177.73414305185323.26585695
18542964584084901.57624831211556.423751687
18642462474086625.47098516159621.529014845
18749218494535898.365722385950.634278003
18848214464518880.31309042302565.686909582
18944250644232094.99730094192969.002699056
19043790994155068.57624831224030.423751687
19134728893479456.28947368-6567.28947368386
19233591603380158.17836257-20998.1783625732
19332009443319131.94421952-118187.944219523
19431531703243615.57579847-90445.575798471
19537414983711501.0494826829996.9505173189
19639187193853955.1547458464763.8452541611
19744034494218678.9968511184770.003148898
19844004074220402.89158794180004.108412056
19948474734669675.78632479177797.213675213
20047161364652657.7336932163478.2663067926
20142974404365872.41790373-68432.4179037332
20242722534288845.9968511-16592.9968511023
20332718343613233.71007647-341399.710076473
20431683883513935.59896536-345547.598965362
20529117483452909.36482231-541161.364822312
20627209993377392.99640126-656393.99640126
20731999183845278.47008547-645360.47008547
20836726233987732.57534863-315109.575348628
20938920134352456.41745389-460443.417453891
21038508454354180.31219073-503335.312190733
21145324674803453.20692758-270986.206927575
21244847394786435.154296-301696.154295997
21340149724499649.83850652-484677.838506522
21439837584422623.41745389-438865.417453891
21531584593747011.13067926-588552.130679262
21631005693647713.01956815-547144.019568151
21729354043586686.7854251-651282.785425102
21828557193511170.41700405-655451.417004049
21934656113979055.89068826-513444.890688259
22030069854121509.99595142-1114524.99595142
22140951104486233.83805668-391123.83805668
22241047934487957.73279352-383164.732793522
22347307884937230.62753036-206442.627530364
22446427264920212.57489878-277486.574898785
22542469194633427.25910931-386508.259109311
22643081174556400.83805668-248283.838056680


Goldfeld-Quandt test for Heteroskedasticity
p-valuesAlternative Hypothesis
breakpoint indexgreater2-sidedless
160.00164752836719120.00329505673438240.998352471632809
170.0002978372706569210.0005956745413138410.999702162729343
184.52151541051941e-059.04303082103882e-050.999954784845895
199.14089346935268e-050.0001828178693870540.999908591065306
203.62507514556537e-057.25015029113074e-050.999963749248544
219.4439608754994e-061.88879217509988e-050.999990556039124
225.46410736664212e-061.09282147332842e-050.999994535892633
239.888799599554e-071.9777599199108e-060.99999901112004
241.69976454943561e-073.39952909887122e-070.999999830023545
252.83972656056530e-085.67945312113061e-080.999999971602734
266.26515617602578e-091.25303123520516e-080.999999993734844
273.97828947216972e-097.95657894433945e-090.99999999602171
289.07940688871085e-101.81588137774217e-090.99999999909206
292.15331271818467e-104.30662543636934e-100.999999999784669
303.97439370994918e-117.94878741989836e-110.999999999960256
311.30271839780629e-112.60543679561259e-110.999999999986973
322.9194517336554e-125.8389034673108e-120.99999999999708
338.22827791872584e-131.64565558374517e-120.999999999999177
341.66178851473403e-133.32357702946806e-130.999999999999834
352.78369602456118e-145.56739204912237e-140.999999999999972
365.23555113618661e-151.04711022723732e-140.999999999999995
378.86814409267795e-161.77362881853559e-151
384.86439470832261e-169.72878941664521e-161
391.36762336300917e-162.73524672601833e-161
402.38244711188207e-174.76489422376413e-171
415.98826713806307e-181.19765342761261e-171
422.02866885623061e-184.05733771246122e-181
437.5680313494751e-191.51360626989502e-181
443.76352914166153e-197.52705828332307e-191
458.41381956463514e-201.68276391292703e-191
462.58968012688268e-205.17936025376537e-201
475.35890291711913e-211.07178058342383e-201
481.00597249102243e-212.01194498204487e-211
497.93407570492202e-221.58681514098440e-211
501.83857898496313e-223.67715796992627e-221
512.78572466679663e-225.57144933359326e-221
529.16038309191818e-231.83207661838364e-221
533.84400739093731e-237.68801478187461e-231
542.17828636950043e-234.35657273900086e-231
551.77255849457070e-233.54511698914139e-231
561.04384874203027e-232.08769748406055e-231
576.85977325530242e-241.37195465106048e-231
581.42285694859968e-232.84571389719935e-231
597.74021533366078e-241.54804306673216e-231
602.09427883139215e-244.18855766278429e-241
611.44708326781953e-242.89416653563906e-241
623.16199474439455e-256.3239894887891e-251
632.40647963797932e-234.81295927595864e-231
645.43668101176858e-231.08733620235372e-221
652.35198095577538e-214.70396191155076e-211
662.0160189765048e-204.0320379530096e-201
672.55392364103195e-185.1078472820639e-181
684.97487320012015e-179.9497464002403e-171
698.2148596285197e-171.64297192570394e-161
701.35134830042936e-152.70269660085873e-150.999999999999999
712.27055190588784e-154.54110381177568e-150.999999999999998
729.28193827190896e-161.85638765438179e-151
733.37802608765385e-166.7560521753077e-161
741.45649894369859e-162.91299788739719e-161
752.16239235435942e-164.32478470871883e-161
761.38273635713665e-162.76547271427329e-161
773.85530892828254e-167.71061785656508e-161
785.00061510359278e-161.00012302071856e-151
793.99401793769995e-157.9880358753999e-150.999999999999996
807.32131076511417e-141.46426215302283e-130.999999999999927
816.14361488456342e-141.22872297691268e-130.999999999999938
821.17151792602901e-132.34303585205801e-130.999999999999883
835.3094079386996e-141.06188158773992e-130.999999999999947
842.52289008264674e-145.04578016529347e-140.999999999999975
851.74630318991638e-143.49260637983275e-140.999999999999982
867.69801658162775e-151.53960331632555e-140.999999999999992
874.10470956944565e-158.2094191388913e-150.999999999999996
881.87970821364950e-153.75941642729901e-150.999999999999998
892.4675199052421e-154.9350398104842e-150.999999999999998
901.8847170216896e-153.7694340433792e-150.999999999999998
915.86446802408789e-151.17289360481758e-140.999999999999994
921.78870572826095e-143.57741145652189e-140.999999999999982
931.70946257896933e-143.41892515793866e-140.999999999999983
945.0675398704284e-141.01350797408568e-130.99999999999995
952.54340094409637e-145.08680188819274e-140.999999999999975
961.22102442542060e-132.44204885084121e-130.999999999999878
972.86398904202154e-135.72797808404308e-130.999999999999714
981.43257003666156e-132.86514007332312e-130.999999999999857
998.43697151377797e-141.68739430275559e-130.999999999999916
1006.88486121219237e-141.37697224243847e-130.999999999999931
1019.06186393110551e-141.81237278622110e-130.99999999999991
1026.01903233535873e-141.20380646707175e-130.99999999999994
1032.35929129447682e-134.71858258895363e-130.999999999999764
1042.47640699977145e-134.95281399954289e-130.999999999999752
1051.91098044729223e-133.82196089458447e-130.99999999999981
1061.76770277712854e-133.53540555425709e-130.999999999999823
1071.06591017625593e-132.13182035251186e-130.999999999999893
1081.42384383889681e-132.84768767779363e-130.999999999999858
1092.66481715068067e-135.32963430136134e-130.999999999999734
1107.55719568349101e-131.51143913669820e-120.999999999999244
1114.53760521937554e-139.07521043875109e-130.999999999999546
1122.60181333644732e-135.20362667289464e-130.99999999999974
1131.20545880988086e-132.41091761976173e-130.99999999999988
1146.34384913779502e-141.26876982755900e-130.999999999999936
1155.50209496994878e-141.10041899398976e-130.999999999999945
1162.71901352926156e-145.43802705852312e-140.999999999999973
1171.72713251900780e-133.45426503801561e-130.999999999999827
1183.19824232235643e-106.39648464471287e-100.999999999680176
1193.23443295350543e-086.46886590701086e-080.99999996765567
1204.79289390438178e-079.58578780876355e-070.99999952071061
1214.93535183896339e-069.87070367792678e-060.99999506464816
1221.24880927960895e-052.49761855921791e-050.999987511907204
1231.24355161092002e-052.48710322184004e-050.99998756448389
1241.14535446768825e-052.29070893537651e-050.999988546455323
1257.71059949466936e-061.54211989893387e-050.999992289400505
1265.60969819497748e-061.12193963899550e-050.999994390301805
1274.35673277784235e-068.7134655556847e-060.999995643267222
1282.92360121216239e-065.84720242432478e-060.999997076398788
1291.89014407356609e-063.78028814713218e-060.999998109855926
1301.42231410411682e-062.84462820823364e-060.999998577685896
1313.70941107080531e-067.41882214161061e-060.99999629058893
1325.73473360722198e-061.14694672144440e-050.999994265266393
1331.50795590604574e-053.01591181209148e-050.99998492044094
1343.59183675556261e-057.18367351112522e-050.999964081632444
1350.0001457442633752630.0002914885267505260.999854255736625
1360.001559265686871360.003118531373742720.998440734313129
1370.009437741939027830.01887548387805570.990562258060972
1380.01738958635404420.03477917270808850.982610413645956
1390.02768829418809370.05537658837618740.972311705811906
1400.04275447753026130.08550895506052250.957245522469739
1410.06169826865346060.1233965373069210.93830173134654
1420.06855515778504110.1371103155700820.931444842214959
1430.08517747057392170.1703549411478430.914822529426078
1440.1102073117908160.2204146235816320.889792688209184
1450.1565529909059560.3131059818119120.843447009094044
1460.1554969412473340.3109938824946680.844503058752666
1470.1600111929932020.3200223859864050.839988807006798
1480.1472380782195880.2944761564391750.852761921780412
1490.1491916191579000.2983832383157990.8508083808421
1500.1627513047245310.3255026094490630.837248695275469
1510.1867830610039000.3735661220077990.8132169389961
1520.2234233573371820.4468467146743640.776576642662818
1530.2551510124094560.5103020248189110.744848987590544
1540.2773347445194830.5546694890389660.722665255480517
1550.3093484495349550.6186968990699110.690651550465045
1560.3595895338685430.7191790677370870.640410466131457
1570.3692841032900410.7385682065800820.630715896709959
1580.3955285973066280.7910571946132570.604471402693372
1590.4518362382542660.9036724765085320.548163761745734
1600.4464056572198910.8928113144397820.553594342780109
1610.4256729227722670.8513458455445340.574327077227733
1620.4587116294429550.917423258885910.541288370557045
1630.497804576273660.995609152547320.50219542372634
1640.5463351355564210.9073297288871580.453664864443579
1650.5509586853399640.8980826293200720.449041314660036
1660.5822289374544120.8355421250911770.417771062545588
1670.620528141348380.758943717303240.37947185865162
1680.6806324981095040.6387350037809920.319367501890496
1690.6979633434077330.6040733131845350.302036656592267
1700.7562002545766040.4875994908467920.243799745423396
1710.8093576215545410.3812847568909170.190642378445459
1720.7741282199849250.451743560030150.225871780015075
1730.7607212971908880.4785574056182240.239278702809112
1740.7307222097930940.5385555804138110.269277790206906
1750.7327586582959280.5344826834081440.267241341704072
1760.7580682668632680.4838634662734630.241931733136732
1770.7481270200062130.5037459599875750.251872979993787
1780.7820659713998370.4358680572003270.217934028600163
1790.7782555804373310.4434888391253370.221744419562669
1800.7654434329323880.4691131341352240.234556567067612
1810.7467875156031340.5064249687937330.253212484396866
1820.7346972471492470.5306055057015060.265302752850753
1830.6914532958035160.6170934083929690.308546704196484
1840.6605681830071280.6788636339857440.339431816992872
1850.6106039599256620.7787920801486770.389396040074338
1860.5686903075865250.862619384826950.431309692413475
1870.5160573997333340.9678852005333310.483942600266666
1880.4584976413580090.9169952827160180.541502358641991
1890.3996099985577830.7992199971155670.600390001442217
1900.3454485398944690.6908970797889380.654551460105531
1910.3065932276520280.6131864553040560.693406772347972
1920.2671151432778440.5342302865556880.732884856722156
1930.247378381656130.494756763312260.75262161834387
1940.2435107723161880.4870215446323750.756489227683812
1950.2468352305933330.4936704611866660.753164769406667
1960.3824142380282870.7648284760565730.617585761971713
1970.4295805375534070.8591610751068140.570419462446593
1980.5319597364973390.9360805270053210.468040263502661
1990.5103014116884580.9793971766230840.489698588311542
2000.4720507893852930.9441015787705850.527949210614707
2010.4668949851632450.933789970326490.533105014836755
2020.4570764380793880.9141528761587760.542923561920612
2030.4502909803078360.9005819606156720.549709019692164
2040.4232753214751610.8465506429503230.576724678524839
2050.392373576637840.784747153275680.60762642336216
2060.3553048690345510.7106097380691030.644695130965449
2070.3228678471697750.645735694339550.677132152830225
2080.9994724921808970.001055015638206220.00052750781910311
2090.997369313733360.005261372533281730.00263068626664087
2100.986889399929420.02622120014115880.0131106000705794


Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity
Description# significant tests% significant testsOK/NOK
1% type I error level1230.63076923076923NOK
5% type I error level1260.646153846153846NOK
10% type I error level1280.656410256410256NOK