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{"sheet":"Data_HID","index":0,"n_rows":145,"n_cols":2,"rows_kept":145,"cut":false,"hidden":true,"merged":[]}
["Month","Passengers"]
["1949-01-01",112]
["1949-02-01",118]
["1949-03-01",132]
["1949-04-01",129]
["1949-05-01",121]
["1949-06-01",135]
["1949-07-01",148]
["1949-08-01",148]
["1949-09-01",136]
["1949-10-01",119]
["1949-11-01",104]
["1949-12-01",118]
["1950-01-01",115]
["1950-02-01",126]
["1950-03-01",141]
["1950-04-01",135]
["1950-05-01",125]
["1950-06-01",149]
["1950-07-01",170]
["1950-08-01",170]
["1950-09-01",158]
["1950-10-01",133]
["1950-11-01",114]
["1950-12-01",140]
["1951-01-01",145]
["1951-02-01",150]
["1951-03-01",178]
["1951-04-01",163]
["1951-05-01",172]
["1951-06-01",178]
["1951-07-01",199]
["1951-08-01",199]
["1951-09-01",184]
["1951-10-01",162]
["1951-11-01",146]
["1951-12-01",166]
["1952-01-01",171]
["1952-02-01",180]
["1952-03-01",193]
["1952-04-01",181]
["1952-05-01",183]
["1952-06-01",218]
["1952-07-01",230]
["1952-08-01",242]
["1952-09-01",209]
["1952-10-01",191]
["1952-11-01",172]
["1952-12-01",194]
["1953-01-01",196]
["1953-02-01",196]
["1953-03-01",236]
["1953-04-01",235]
["1953-05-01",229]
["1953-06-01",243]
["1953-07-01",264]
["1953-08-01",272]
["1953-09-01",237]
["1953-10-01",211]
["1953-11-01",180]
["1953-12-01",201]
["1954-01-01",204]
["1954-02-01",188]
["1954-03-01",235]
["1954-04-01",227]
["1954-05-01",234]
["1954-06-01",264]
["1954-07-01",302]
["1954-08-01",293]
["1954-09-01",259]
["1954-10-01",229]
["1954-11-01",203]
["1954-12-01",229]
["1955-01-01",242]
["1955-02-01",233]
["1955-03-01",267]
["1955-04-01",269]
["1955-05-01",270]
["1955-06-01",315]
["1955-07-01",364]
["1955-08-01",347]
["1955-09-01",312]
["1955-10-01",274]
["1955-11-01",237]
["1955-12-01",278]
["1956-01-01",284]
["1956-02-01",277]
["1956-03-01",317]
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["1959-07-01",548]
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["1960-08-01",606]
["1960-09-01",508]
["1960-10-01",461]
["1960-11-01",390]
["1960-12-01",432]

{"sheet":"Data_HID1","index":1,"n_rows":145,"n_cols":1,"rows_kept":145,"cut":false,"hidden":true,"merged":[]}
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[4.8598124043616719]
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{"sheet":"Data","index":2,"n_rows":145,"n_cols":3,"rows_kept":145,"cut":false,"hidden":false,"merged":[]}
["Month","Passengers","Log(Passengers)"]
["1949-01-01",112,{"$f":"LN(B2)","v":4.7184988712950942}]
["1949-02-01",118,{"$f":"LN(B3)","v":4.7706846244656651}]
["1949-03-01",132,4.8828019225863706]
["1949-04-01",129,4.8598124043616719]
["1949-05-01",121,4.7957905455967413]
["1949-06-01",135,4.9052747784384296]
["1949-07-01",148,4.9972122737641147]
["1949-08-01",148,4.9972122737641147]
["1949-09-01",136,4.9126548857360524]
["1949-10-01",119,4.7791234931115296]
["1949-11-01",104,4.6443908991413725]
["1949-12-01",118,4.7706846244656651]
["1950-01-01",115,4.7449321283632502]
["1950-02-01",126,4.836281906951478]
["1950-03-01",141,4.9487598903781684]
["1950-04-01",135,4.9052747784384296]
["1950-05-01",125,4.8283137373023015]
["1950-06-01",149,5.0039463059454592]
["1950-07-01",170,5.1357984370502621]
["1950-08-01",170,5.1357984370502621]
["1950-09-01",158,5.0625950330269669]
["1950-10-01",133,4.8903491282217537]
["1950-11-01",114,4.7361984483944957]
["1950-12-01",140,4.9416424226093039]
["1951-01-01",145,4.9767337424205742]
["1951-02-01",150,5.0106352940962555]
["1951-03-01",178,5.181783550292085]
["1951-04-01",163,5.0937502008067623]
["1951-05-01",172,5.1474944768134527]
["1951-06-01",178,5.181783550292085]
["1951-07-01",199,5.2933048247244923]
["1951-08-01",199,5.2933048247244923]
["1951-09-01",184,5.2149357576089859]
["1951-10-01",162,5.0875963352323836]
["1951-11-01",146,4.9836066217083363]
["1951-12-01",166,5.1119877883565437]
["1952-01-01",171,5.1416635565026603]
["1952-02-01",180,5.1929568508902104]
["1952-03-01",193,5.2626901889048856]
["1952-04-01",181,5.1984970312658261]
["1952-05-01",183,5.2094861528414214]
["1952-06-01",218,5.3844950627890888]
["1952-07-01",230,5.4380793089231956]
["1952-08-01",242,5.4889377261566867]
["1952-09-01",209,5.3423342519648109]
["1952-10-01",191,5.2522734280466299]
["1952-11-01",172,5.1474944768134527]
["1952-12-01",194,5.2678581590633282]
["1953-01-01",196,5.2781146592305168]
["1953-02-01",196,5.2781146592305168]
["1953-03-01",236,5.4638318050256105]
["1953-04-01",235,5.4595855141441589]
["1953-05-01",229,5.43372200355424]
["1953-06-01",243,5.4930614433405482]
["1953-07-01",264,5.575949103146316]
["1953-08-01",272,5.6058020662959978]
["1953-09-01",237,5.4680601411351315]
["1953-10-01",211,5.3518581334760666]
["1953-11-01",180,5.1929568508902104]
["1953-12-01",201,5.3033049080590757]
["1954-01-01",204,5.3181199938442161]
["1954-02-01",188,5.2364419628299492]
["1954-03-01",235,5.4595855141441589]
["1954-04-01",227,5.4249500174814029]
["1954-05-01",234,5.4553211153577017]
["1954-06-01",264,{"$f":"LN(B67)","v":5.575949103146316}]
["1954-07-01",302,5.7104270173748697]
["1954-08-01",293,5.6801726090170677]
["1954-09-01",259,5.5568280616995374]
["1954-10-01",229,5.43372200355424]
["1954-11-01",203,5.3132059790417872]
["1954-12-01",229,5.43372200355424]
["1955-01-01",242,5.4889377261566867]
["1955-02-01",233,5.4510384535657002]
["1955-03-01",267,5.5872486584002496]
["1955-04-01",269,5.5947113796018391]
["1955-05-01",270,5.598421958998375]
["1955-06-01",315,5.7525726388256331]
["1955-07-01",364,5.8971538676367405]
["1955-08-01",347,5.8493247799468593]
["1955-09-01",312,5.7430031878094825]
["1955-10-01",274,5.6131281063880705]
["1955-11-01",237,5.4680601411351315]
["1955-12-01",278,5.6276211136906369]
["1956-01-01",284,5.6489742381612063]
["1956-02-01",277,5.6240175061873385]
["1956-03-01",317,5.7589017738772803]
["1956-04-01",313,5.7462031905401529]
["1956-05-01",318,5.7620513827801769]
["1956-06-01",374,5.9242557974145322]
["1956-07-01",413,6.0234475929610332]
["1956-08-01",405,6.0038870671065387]
["1956-09-01",355,5.872117789475416]
["1956-10-01",306,5.7235851019523807]
["1956-11-01",271,5.602118820879701]
["1956-12-01",306,5.7235851019523807]
["1957-01-01",315,5.7525726388256331]
["1957-02-01",301,5.7071102647488754]
["1957-03-01",356,5.8749307308520304]
["1957-04-01",348,5.8522024797744745]
["1957-05-01",355,5.872117789475416]
["1957-06-01",422,6.045005314036012]
["1957-07-01",465,6.1420374055873559]
["1957-08-01",467,6.1463292576688975]
["1957-09-01",404,6.0014148779611505]
["1957-10-01",347,5.8493247799468593]
["1957-11-01",305,5.7203117766074119]
["1957-12-01",336,5.8171111599632042]
["1958-01-01",340,5.8289456176102075]
["1958-02-01",318,5.7620513827801769]
["1958-03-01",362,5.8916442118257715]
["1958-04-01",348,5.8522024797744745]
["1958-05-01",363,5.8944028342648505]
["1958-06-01",435,6.0753460310886842]
["1958-07-01",491,6.1964441277945204]
["1958-08-01",505,6.2245584292753602]
["1958-09-01",404,6.0014148779611505]
["1958-10-01",359,5.8833223884882786]
["1958-11-01",310,5.7365722974791922]
["1958-12-01",337,5.8200829303523616]
["1959-01-01",360,5.8861040314501558]
["1959-02-01",342,5.8348107370626048]
["1959-03-01",406,6.0063531596017325]
["1959-04-01",396,5.9814142112544806]
["1959-05-01",420,6.0402547112774139]
["1959-06-01",472,6.156978985585555]
["1959-07-01",548,6.3062752869480159]
["1959-08-01",559,6.3261494731550991]
["1959-09-01",463,6.1377270540862341]
["1959-10-01",407,{"$f":"LN(B131)","v":6.0088131854425946}]
["1959-11-01",362,5.8916442118257715]
["1959-12-01",405,6.0038870671065387]
["1960-01-01",417,6.0330862217988015]
["1960-02-01",391,5.9687075599853658]
["1960-03-01",419,6.0378709199221374]
["1960-04-01",461,6.1333980429966486]
["1960-05-01",472,6.156978985585555]
["1960-06-01",535,6.2822667468960063]
["1960-07-01",622,6.4329400927391793]
["1960-08-01",606,6.4068799860693142]
["1960-09-01",508,6.230481447578482]
["1960-10-01",461,6.1333980429966486]
["1960-11-01",390,5.9661467391236922]
["1960-12-01",432,6.0684255882441107]

{"sheet":"ARIMA","index":3,"n_rows":316,"n_cols":10,"rows_kept":316,"cut":false,"hidden":false,"merged":[]}
[null,"XLSTAT 2022.3.1.12345 - ARIMA - Start time: 16/06/2022 at 10:00:13 / End time: 16/06/2022 at 10:00:16 / Microsoft Excel 16.015225"]
[null,"Time series: Workbook = demo01ARIMA.xls / Sheet = Data / Range = 'Data'!$C:$C / 144 rows and 1 column"]
[null,"Date data: Workbook = demo01ARIMA.xls / Sheet = Data / Range = 'Data'!$A:$A / 144 rows and 1 column"]
[null,"Confidence intervals (%): 95"]
[null,"Center: Yes"]
[null,"Model parameters: p = 0 / d = 1 / q = 1 / P = 0 / D = 1 / Q = 1 / s = 12"]
[null,"Optimize: Likelihood (Convergence = 0,00001 / Iterations = 500)"]
[null,"Validation: 12"]
[null,"Confidence intervals (%): 95"]
[null,"Seed (random numbers): 123456789"]
[]
[]
[]
[]
[null,"Summary statistics:"]
[]
[null,"Variable","Observations","Obs. with missing data","Obs. without missing data","Minimum","Maximum","Mean","Std. deviation"]
[null,"Log(Passengers)",144,0,144,4.6443908991413725,6.4329400927391793,5.5421759585318711,0.44145642421954512]
[]
[]
[null,"Results of ARIMA modeling of the Log(Passengers) series:"]
[]
[null,"Results after optimization (Log(Passengers)):"]
[]
[null,"Goodness of fit statistics:"]
[]
[null,"Observations",119]
[null,"DF",115]
[null,"SSE",0.15620644777039383]
[null,"MSE",1.3126592249612927E-3]
[null,"RMSE",3.6230639312069733E-2]
[null,"WN Variance",1.3126592249612927E-3]
[null,"MAPE(Diff)",185.0042812783505]
[null,"MAPE",0.46954349743822427]
[null,"-2Log(Like.)",-447.25337568984884]
[null,"FPE",1.3126592249612927E-3]
[null,"AIC",-439.25337568984884]
[null,"AICC",-438.90249849686637]
[null,"SBC",-428.13688171740273]
[null,"Iterations",52]
[]
[]
[null,"Model parameters:"]
[]
[null,"Parameter","Value","Hessian standard error","Lower bound (95%)","Upper bound (95%)"]
[null,"Constant",1.550327945749826E-5,1.1081719898232061E-3,-2.1564739092720725E-3,2.1874804681870693E-3]
[]
[]
[null,"Parameter","Value","Hessian standard error","Lower bound (95%)","Upper bound (95%)","Asympt. standard error","Lower bound (95%)","Upper bound (95%)"]
[null,"MA(1)",-0.34843786372106711,9.4298719785462476E-2,-0.53325995828880812,-0.1636157691533261,8.9893984132886198E-2,-0.52462683504833907,-0.17224889239379512]
[null,"SMA(1)",-0.56217024375967484,7.7445532511239076E-2,-0.71396069824522923,-0.41037978927412044,8.028332390214532E-2,-0.71952266716704327,-0.4048178203523064]
[]
[]
[null,"Predictions and residuals:"]
[]
[null,"Observations","Log(Passengers)","ARIMA(Log(Passengers))","Residuals","Standardized residuals","Standard error","Lower bound (95%)","Upper bound (95%)"]
[null,"1949-01-01",4.7184988712950942,4.7184988712950942,0,0]
[null,"1949-02-01",4.7706846244656651,4.7706846244656651,0,0]
[null,"1949-03-01",4.8828019225863706,4.8828019225863706,0,0]
[null,"1949-04-01",4.8598124043616719,4.8598124043616719,0,0]
[null,"1949-05-01",4.7957905455967413,4.7957905455967413,0,0]
[null,"1949-06-01",4.9052747784384296,4.9052747784384296,0,0]
[null,"1949-07-01",4.9972122737641147,4.9972122737641147,0,0]
[null,"1949-08-01",4.9972122737641147,4.9972122737641147,0,0]
[null,"1949-09-01",4.9126548857360524,4.9126548857360524,0,0]
[null,"1949-10-01",4.7791234931115296,4.7791234931115296,0,0]
[null,"1949-11-01",4.6443908991413725,4.6443908991413725,0,0]
[null,"1949-12-01",4.7706846244656651,4.7706846244656651,0,0]
[null,"1950-01-01",4.7449321283632502,4.7449321283632502,0,0]
[null,"1950-02-01",4.836281906951478,4.8040564131335346,3.2225493817943374E-2,0.8894541865621427]
[null,"1950-03-01",4.9487598903781684,4.9379266156620005,1.0833274716167907E-2,0.29900865460463877]
[null,"1950-04-01",4.9052747784384296,4.9193929959409983,-1.4118217502568697E-2,-0.38967619039130258]
[null,"1950-05-01",4.8283137373023015,4.8445202199459736,-1.6206482643672082E-2,-0.44731428844185805]
[null,"1950-06-01",5.0039463059454592,4.9519454416381175,5.2000864307341743E-2,1.4352731636733327]
[null,"1950-07-01",5.1357984370502621,5.0828996439530982,5.2898793097163832E-2,1.460056849715631]
[null,"1950-08-01",5.1357984370502621,5.1173800378507961,1.8418399199465973E-2,0.50836528278787896]
[null,"1950-09-01",5.0625950330269669,5.0462936320076821,1.6301401019284789E-2,0.44993412561324042]
[null,"1950-10-01",4.8903491282217537,4.9184299929597222,-2.8080864737968447E-2,-0.7750584938923144]
[null,"1950-11-01",4.7361984483944957,4.7629231121992053,-2.6724663804709614E-2,-0.73762606214366921]
[null,"1950-12-01",4.9416424226093039,4.8819726812885023,5.9669741320801606E-2,1.6469414411057179]
[null,"1951-01-01",4.9767337424205742,4.9069955584844216,6.9738183936152609E-2,1.9248400044909035]
[null,"1951-02-01",5.0106352940962555,5.0275271688666141,-1.6891874770358584E-2,-0.46623176104792857]
[null,"1951-03-01",5.181783550292085,5.1309814063987123,5.0802143893372786E-2,1.4021873435848746]
[null,"1951-04-01",5.0937502008067623,5.1274751859525454,-3.3724985145783037E-2,-0.93084156907350035]
[null,"1951-05-01",5.1474944768134527,5.038584743356207,0.10890973345724575,3.006011914919867]
[null,"1951-06-01",5.181783550292085,5.2528825545686662,-7.1099004276581113E-2,-1.9623999362576932]
[null,"1951-07-01",5.2933048247244923,5.3212624009550771,-2.7957576230584813E-2,-0.77165561418263839]
[null,"1951-08-01",5.2933048247244923,5.3030676312187586,-9.7628064942663073E-3,-0.26946271662984328]
[null,"1951-09-01",5.2149357576089859,5.2186630726715642,-3.7273150625782847E-3,-0.10287743007992083]
[null,"1951-10-01",5.0875963352323836,5.0615664450313114,2.602989020107227E-2,0.71844965187795551]
[null,"1951-11-01",4.9836066217083363,4.9341956196836021,4.9411002024734252E-2,1.3637905088876989]
[null,"1951-12-01",5.1119877883565437,5.1364912885008511,-2.4503500144307466E-2,-0.67631983894207648]
[null,"1952-01-01",5.1416635565026603,5.1319101944356511,9.7533620670091636E-3,0.26920204148205484]
[null,"1952-02-01",5.1929568508902104,5.1935011136134568,-5.4426272324636926E-4,-1.5022167247958434E-2]
[null,"1952-03-01",5.2626901889048856,5.3327869049426138,-7.0096716037728157E-2,-1.9347358304653601]
[null,"1952-04-01",5.1984970312658261,5.2269067627409669,-2.8409731475140809E-2,-0.78413552767964823]
[null,"1952-05-01",5.2094861528414214,5.1970077125174505,1.247844032397083E-2,0.34441678537573611]
[null,"1952-06-01",5.3844950627890888,5.2994386652476191,8.5056397541469764E-2,2.347637225190625]
[null,"1952-07-01",5.4380793089231956,5.4674663911321542,-2.9387082208958581E-2,-0.81111133468651442]
[null,"1952-08-01",5.4889377261566867,5.4489032383488487,4.0034487807838026E-2,1.1049898254072787]
[null,"1952-09-01",5.3423342519648109,5.3960608932511223,-5.3726641286311327E-2,-1.4829062447267676]
[null,"1952-10-01",5.2522734280466299,5.2194900844311567,3.2783343615473193E-2,0.90485136994399873]
[null,"1952-11-01",5.1474944768134527,5.1152430217922245,3.2251455021228281E-2,0.89017074039000355]
[null,"1952-12-01",5.2678581590633282,5.2869290389932866,-1.9070879929958373E-2,-0.52637436965141204]
[null,"1953-01-01",5.2781146592305168,5.2939507736169986,-1.5836114386481803E-2,-0.43709177334903448]
[null,"1953-02-01",5.2781146592305168,5.3368250430739206,-5.8710383843403768E-2,-1.6204622650377913]
[null,"1953-03-01",5.4638318050256105,5.4074554136339481,5.6376391391662395E-2,1.556041860207567]
[null,"1953-04-01",5.4595855141441589,5.3824320532126757,7.7153460931483231E-2,2.1295086809517221]
[null,"1953-05-01",5.43372200355424,5.4311816943376989,2.5403092165410257E-3,7.0114943174484842E-2]
[null,"1953-06-01",5.4930614433405482,5.5627440330748321,-6.9682589734283873E-2,-1.9233055518032245]
[null,"1953-07-01",5.575949103146316,5.6037468528376309,-2.7797749691314877E-2,-0.7672442501464346]
[null,"1953-08-01",5.6058020662959978,5.6085798538325378,-2.7777875365400106E-3,-7.6669569990575059E-2]
[null,"1953-09-01",5.4680601411351315,5.4977117262139856,-2.9651585078854126E-2,-0.81841186470524441]
[null,"1953-10-01",5.3518581334760666,5.3597186244454642,-7.86049096939756E-3,-0.21695700431040826]
[null,"1953-11-01",5.1929568508902104,5.2381068983607149,-4.515004747050444E-2,-1.2461841228251065]
[null,"1953-12-01",5.3033049080590757,5.3458276013854764,-4.2522693326400685E-2,-1.1736666571112599]
[null,"1954-01-01",5.3181199938442161,5.3334347605925236,-1.5314766748307562E-2,-0.42270208417784283]
[null,"1954-02-01",5.2364419628299492,5.3531587728508478,-0.11671681002089862,-3.2214946309825683]
[null,"1954-03-01",5.4595855141441589,5.4198818638316455,3.9703650312513439E-2,1.0958583968262112]
[null,"1954-04-01",5.4249500174814029,5.4093018659312557,1.5648151550147205E-2,0.43190382083415901]
[null,"1954-05-01",5.4553211153577017,5.4073333704797371,4.7987744877964644E-2,1.3245072620614287]
[null,"1954-06-01",5.575949103146316,5.537513878208487,3.8435224937829027E-2,1.0608486537256567]
[null,"1954-07-01",5.7104270173748697,5.6474843107784389,6.2942706596430753E-2,1.7372783862376469]
[null,"1954-08-01",5.6801726090170677,5.7144329598743058,-3.4260350857238109E-2,-0.9456181703596036]
[null,"1954-09-01",5.5568280616995374,5.5704518100771114,-1.3623748377574074E-2,-0.37602837367088665]
[null,"1954-10-01",5.43372200355424,5.4439981130483845,-1.0276109494144592E-2,-0.28363036615589748]
[null,"1954-11-01",5.3132059790417872,5.3021931388381844,1.1012840203602714E-2,0.30396483232726007]
[null,"1954-12-01",5.43372200355424,5.434736311379412,-1.0143078251720894E-3,-2.7995857772075992E-2]
[null,"1955-01-01",5.4889377261566867,5.4491481658898566,3.9789560266830115E-2,1.0982295930277657]
[null,"1955-02-01",5.4510384535657002,5.455983056907991,-4.9446033422908542E-3,-0.13647574086951395]
[null,"1955-03-01",5.5872486584002496,5.6307765562028829,-4.352789780263322E-2,-1.2014112538205337]
[null,"1955-04-01",5.5947113796018391,5.5667911272337252,2.7920252368113907E-2,0.77062544018682733]
[null,"1955-05-01",5.598421958998375,5.5914822657871097,6.9396932112653076E-3,0.19154211305770266]
[null,"1955-06-01",5.7525726388256331,5.7044689219671678,4.8103716858465262E-2,1.3277081986913817]
[null,"1955-07-01",5.8971538676367405,5.8424921325293164,5.4661735107424114E-2,1.5087157208736948]
[null,"1955-08-01",5.8493247799468593,5.8794073349540419,-3.0082555007182599E-2,-0.83030704338581773]
[null,"1955-09-01",5.7430031878094825,5.7374299891255296,5.5731986839528957E-3,0.15382556835248176]
[null,"1955-10-01",5.6131281063880705,5.6210722758886371,-7.9441695005666446E-3,-0.21926661111718654]
[null,"1955-11-01",5.4680601411351315,5.4871949222953109,-1.9134781160179415E-2,-0.52813810419858997]
[null,"1955-12-01",5.6276211136906369,5.5979958067137492,2.96253069768877E-2,0.81768656417328089]
[null,"1956-01-01",5.6489742381612063,5.6499771613208409,-1.0029231596346833E-3,-2.7681630207959742E-2]
[null,"1956-02-01",5.6240175061873385,5.6220054554338805,2.0120507534580057E-3,5.5534508682757881E-2]
[null,"1956-03-01",5.7589017738772803,5.7830332412049392,-2.4131467327658918E-2,-0.66605138042981915]
[null,"1956-04-01",5.7462031905401529,5.7505748032273605,-4.3716126872075378E-3,-0.12066065546216281]
[null,"1956-05-01",5.7620513827801769,5.7530208729256396,9.0305098545373497E-3,0.24925063498752453]
[null,"1956-06-01",5.9242557974145322,5.8874002588855401,3.6855538528992149E-2,1.0172478109353771]
[null,"1956-07-01",6.0234475929610332,6.0347087538640709,-1.1261160903037748E-2,-0.31081871909685704]
[null,"1956-08-01",6.0038870671065387,6.0071672118600654,-3.2801447535266703E-3,-9.0535105529698331E-2]
[null,"1956-09-01",5.872117789475416,5.8896995116695008,-1.7581722194084826E-2,-0.48527220407694321]
[null,"1956-10-01",5.7235851019523807,5.7539375066223979,-3.0352404670017208E-2,-0.83775514995965661]
[null,"1956-11-01",5.602118820879701,5.5983078696303492,3.8109512493518238E-3,0.10518586814122981]
[null,"1956-12-01",5.7235851019523807,5.7399698506617041,-1.6384748709323382E-2,-0.45223460089110357]
[null,"1957-01-01",5.7525726388256331,5.7570271889021392,-4.4545500765060808E-3,-0.12294980605054102]
[null,"1957-02-01",5.7071102647488754,5.7278552133701837,-2.0744948621308268E-2,-0.57258025293518289]
[null,"1957-03-01",5.8749307308520304,5.8631976048711438,1.1733125980886605E-2,0.32384540277703233]
[null,"1957-04-01",5.8522024797744745,5.8558900688433964,-3.6875890689218593E-3,-0.10178095498561601]
[null,"1957-05-01",5.872117789475416,5.8634190482620694,8.6987412133465725E-3,0.24009350589760936]
[null,"1957-06-01",6.045005314036012,6.0123596072062044,3.2645706829807608E-2,0.90105246414826978]
[null,"1957-07-01",6.1420374055873559,6.1463856220185438,-4.348216431187879E-3,-0.12001489661098338]
[null,"1957-08-01",6.1463292576688975,6.1236464766295207,2.268278103937682E-2,0.62606626518512376]
[null,"1957-09-01",6.0014148779611505,6.0159115875572624,-1.4496709596111934E-2,-0.40012293107073482]
[null,"1957-10-01",5.8493247799468593,5.8715661307576763,-2.2241350810817018E-2,-0.61388237229939302]
[null,"1957-11-01",5.7203117766074119,5.7275367449737846,-7.2249683663727637E-3,-0.19941597784518988]
[null,"1957-12-01",5.8171111599632042,5.8542662748134653,-3.7155114850261128E-2,-1.02551640146972]
[null,"1958-01-01",5.8289456176102075,5.8583544060372965,-2.940878842708905E-2,-0.8117104468894073]
[null,"1958-02-01",5.7620513827801769,5.8045346306611387,-4.2483247880961805E-2,-1.1725779254137838]
[null,"1958-03-01",5.8916442118257715,5.9340306026605347,-4.2386390834763255E-2,-1.1699045790959262]
[null,"1958-04-01",5.8522024797744745,5.8880714580408586,-3.5868978266384133E-2,-0.9900178122011466]
[null,"1958-05-01",5.8944028342648505,5.8790193898672163,1.5383444397634172E-2,0.4245976524214794]
[null,"1958-06-01",6.0753460310886842,6.0452979963635505,3.0048034725133732E-2,0.82935425086809456]
[null,"1958-07-01",6.1964441277945204,6.1707627402775564,2.5681387516963916E-2,0.70883064733579015]
[null,"1958-08-01",6.2245584292753602,6.1782006614243903,4.63577678509699E-2,1.2795183505229082]
[null,"1958-09-01",6.0014148779611505,6.076098099316896,-7.4683221355745566E-2,-2.0613277263055605]
[null,"1958-10-01",5.8833223884882786,5.8850264678491229,-1.7040793608442684E-3,-4.703420621883915E-2]
[null,"1958-11-01",5.7365722974791922,5.7546234717949147,-1.8051174315722562E-2,-0.49822952778283064]
[null,"1958-12-01",5.8200829303523616,5.8591481445566522,-3.9065214204290655E-2,-1.0782369548548547]
[null,"1959-01-01",5.8861040314501558,5.8547991443237954,3.130488712636037E-2,0.86404456892737147]
[null,"1959-02-01",5.8348107370626048,5.8264397257643896,8.3710112982151585E-3,0.23104784947657472]
[null,"1959-03-01",6.0063531596017325,5.9770089377198641,2.9344221881868471E-2,0.80992834901737032]
[null,"1959-04-01",5.9814142112544806,5.9685639452831625,1.2850265971318109E-2,0.35467952581883427]
[null,"1959-05-01",6.0402547112774139,6.0034786481706934,3.6776063106720436E-2,1.015054213919681]
[null,"1959-06-01",6.156978985585555,6.1945204362152495,-3.7541450629694495E-2,-1.0361796353173398]
[null,"1959-07-01",6.3062752869480159,6.2826222044534532,2.3653082494562661E-2,0.65284750541740966]
[null,"1959-08-01",6.3261494731550991,6.3051332802453874,2.1016192909711684E-2,0.58006685249714685]
[null,"1959-09-01",6.1377270540862341,6.1467632920842954,-9.0362379980613028E-3,-0.24940873718038439]
[null,"1959-10-01",6.0088131854425946,6.0091277208745595,-3.1453543196491296E-4,-8.6814761742316227E-3]
[null,"1959-11-01",5.8916442118257715,5.872002190965981,1.9642020859790499E-2,0.54213840088786491]
[null,"1959-12-01",6.0038870671065387,5.9867515727147218,1.7135494391816941E-2,0.4729558936076651]
[null,"1960-01-01",6.0330862217988015,6.0386872540180416,-5.6010322192401318E-3,-0.1545938003190086,3.6230639312069733E-2,5.967676505829524,6.1096980022065592]
[null,"1960-02-01",5.9687075599853658,5.9888199822856159,-2.011242230025001E-2,-0.5551219266934061,4.3242648729308747E-2,5.9040659481800537,6.073574016391178]
[null,"1960-03-01",6.0378709199221374,6.1455057802839397,-0.10763486036180225,-2.9708242086124379,4.9266561817235446E-2,6.0489450934800422,6.2420664670878372]
[null,"1960-04-01",6.1333980429966486,6.119090790950855,1.4307252045793639E-2,0.39489372303257642,5.4630225676419966E-2,6.0120175161577762,6.2261640657439337]
[null,"1960-05-01",6.156978985585555,6.1597741340638272,-2.7951484782722247E-3,-7.7148748444553661E-2,5.95124272872622E-2,6.0431319199482347,6.2764163481794197]
[null,"1960-06-01",6.2822667468960063,6.3048066490408363,-2.2539902144830037E-2,-0.62212267221354778,6.4023405452902638E-2,6.1793230801855419,6.4302902178961308]
[null,"1960-07-01",6.4329400927391793,6.4334523597796762,-5.1226704049689431E-4,-1.4139056064799819E-2,6.823682209739737E-2,6.2997106460493102,6.5671940735100423]
[null,"1960-08-01",6.4068799860693142,6.4461451154011087,-3.926512933179449E-2,-1.0837548019395247,7.2204787473663781E-2,6.3046263324413587,6.5876638983608586]
[null,"1960-09-01",6.230481447578482,6.2669192191945546,-3.6437771616072645E-2,-1.0057170479995894,7.5965773729239711E-2,6.118029038627526,6.4158093997615833]
[null,"1960-10-01",6.1333980429966486,6.1364121529034819,-3.0141099068332622E-3,-8.3192291498680598E-2,7.954914344257355E-2,5.9804986967550269,6.2923256090519368]
[null,"1960-11-01",5.9661467391236922,6.0081394834769331,-4.1992744353240852E-2,-1.1590395629384203,8.2977910714913977E-2,5.8455057669633215,6.1707731999905446]
[null,"1960-12-01",6.0684255882441107,6.1145968195506688,-4.6171231306558091E-2,-1.2743697650175549,8.6270511246759926E-2,5.9455097245791615,6.2836839145221761]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null," "]
[]
[]
[null,"Descriptive analysis (Log(Passengers)):"]
[]
[null,"Lag","Autocorrelation","Standard error","Lower bound (95%)","Upper bound (95%)","Partial autocorrelation","Standard error","Lower bound (95%)","Upper bound (95%)"]
[null,0,1,0,null,null,1,0]
[null,1,0.95370336924314758,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447,0.95370336924314747,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,2,0.89891594579252299,0.139918136606619,-0.27423450853292852,0.27423450853292852,-0.1175697557850602,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,3,0.85080248750832466,0.17549928751461094,-0.34397228284107734,0.34397228284107734,5.4232737668435838E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,4,0.80842516872015846,0.20212292968967033,-0.39615366264147533,0.39615366264147533,2.3756138802318347E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,5,0.77889939059537261,0.22345196228335715,-0.43795779835018245,0.43795779835018245,0.11582219543976383,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,6,0.75644222251490678,0.24157183141948488,-0.47347208926157169,0.47347208926157169,4.4367630871413946E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,7,0.73760171341165603,0.25749609535738327,-0.50468307306016247,0.50468307306016247,3.8034141671491627E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,8,0.72713134977295424,0.27177302377620677,-0.53266533857091292,0.53266533857091292,9.9622096869087212E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,9,0.73364870077105837,0.28496299721776625,-0.55851721147340938,0.55851721147340938,0.20409574159136093,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,10,0.74425524868868442,0.29779098562356277,-0.58365960674286788,0.58365960674286788,6.3909253375832253E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,11,0.75802664972939926,0.31043960308424973,-0.60845044142003879,0.60845044142003879,0.10603548260997031,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,12,0.76194291840132633,0.32303771274169207,-0.63314228262191208,0.63314228262191208,-4.2466274550808057E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,13,0.71650448116823384,0.33528593121612832,-0.6571483497065852,0.6571483497065852,-0.48543013217030223,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,14,0.66304278889300783,0.34575557117468064,-0.67766846695644922,0.67766846695644922,-3.435019384620052E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,15,0.61836285662777768,0.3544754265848879,-0.69475906951085209,0.69475906951085209,4.2224534723672061E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,16,0.57620872814745483,0.36188887648005252,-0.70928916430656708,0.70928916430656708,-4.4197224117272699E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,17,0.54380131946480359,0.36820496897170918,-0.72166847811323798,0.72166847811323798,2.7607922141737233E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,18,0.51945611422342319,0.3737407118073785,-0.73251833469882544,0.73251833469882544,3.7147942148936353E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,19,0.50070292444199105,0.37872130016471739,-0.7422801085010291,0.7422801085010291,4.1638426237671701E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,20,0.4904028046938177,0.38329077098553627,-0.75123610673824082,0.75123610673824082,1.4399903768964113E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,21,0.4981819023920307,0.38762355735668003,-0.75972821197838858,0.75972821197838858,7.33124648120001E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,22,0.50616663895637304,0.39204469004672504,-0.76839347282174952,0.76839347282174952,-3.3395257780846142E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null," "]
[]
[]
[null,"Descriptive analysis (Residuals):"]
[]
[null,"Lag","Autocorrelation","Standard error","Lower bound (95%)","Upper bound (95%)","Partial autocorrelation","Standard error","Lower bound (95%)","Upper bound (95%)"]
[null,0,1,0,null,null,1,0]
[null,1,3.1352454570918203E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447,3.1352454570918196E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,2,5.5149728005148634E-2,8.3415207813385558E-2,-0.16349080307715977,0.16349080307715977,5.4220048626146725E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,3,-0.11419358133491768,8.3668033596624475E-2,-0.16398633250667119,0.16398633250667119,-0.11799135587503135,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,4,-8.4769225362613249E-2,8.474345623087938E-2,-0.16609412213796998,0.16609412213796998,-8.1587623953774543E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,5,7.3304089840711129E-2,8.5330278631306045E-2,-0.1672442729081276,0.1672442729081276,9.3858962957987652E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,6,7.9769368602801344E-2,8.5766475100245182E-2,-0.16809920227743183,0.16809920227743183,7.3794293078254011E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,7,-2.8460498789348723E-2,8.6280156261770616E-2,-0.1691059988535584,0.1691059988535584,-6.6032088809967276E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,8,-2.3926166408315377E-2,8.6345326245461929E-2,-0.16923372967446643,0.16923372967446643,-2.1375374405933324E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,9,0.13079630930841524,8.6391354994320352E-2,-0.16932394436448236,0.16932394436448236,0.17926344779116324,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,10,-5.8153089095881697E-2,8.7755756554377132E-2,-0.17199812228264394,0.17199812228264394,-7.3407323960539436E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,11,-6.3327243037479622E-3,8.8022962911392957E-2,-0.17252183711883509,0.17252183711883509,-6.1149248716099391E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,12,-5.5759906863962559E-2,8.8026126754089037E-2,-0.17252803813657216,0.17252803813657216,-6.7693655003453548E-3,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,13,-6.3753511684544722E-3,8.8271070398471541E-2,-0.17300811885780384,0.17300811885780384,3.3485479292195586E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,14,1.5891710750690832E-2,8.8274267964139536E-2,-0.17301438597135133,0.17301438597135133,-2.9769436891392085E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,15,4.7490597352376179E-2,8.8294133295898705E-2,-0.17305332130614023,0.17305332130614023,1.3801320406797471E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,16,-0.14762997169572667,8.8471342111365231E-2,-0.17340064420219764,0.17340064420219764,-0.13007663719735929,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,17,4.9903315229991967E-2,9.0165854243250701E-2,-0.17672182695205935,0.17672182695205935,7.8495016242680307E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,18,1.476450104731198E-2,9.0357453146196698E-2,-0.17709735390131087,0.17709735390131087,1.9594216574988207E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,19,-8.2177015006121026E-2,9.0374205306480618E-2,-0.17713018753213061,0.17713018753213061,-0.1264487571055572,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,20,-0.11833058709428161,9.0891636082275781E-2,-0.17814433321718176,0.17814433321718176,-0.1478941554035739,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,21,-4.599038467402726E-2,9.1955225558526504E-2,-0.18022893028496897,0.18022893028496897,4.5791381041905888E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[null,22,-4.1314708422885232E-2,9.211482025951423E-2,-0.18054173015102837,0.18054173015102837,-2.6095154467951194E-2,8.3333333333333329E-2,-0.16333033204500447,0.16333033204500447]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[]
[null,null,null,null,null," "]