Regresi dengan Peubah Lag pada Transaksi Bitcoin
LIBRARY
library(dLagM) #bisa otomatis timeseries datanya## Loading required package: nardl
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
## Loading required package: dynlm
## Loading required package: zoo
##
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric
library(dynlm) #data harus timeseries
library(MLmetrics) #MAPE##
## Attaching package: 'MLmetrics'
## The following object is masked from 'package:dLagM':
##
## MAPE
## The following object is masked from 'package:base':
##
## Recall
library(lmtest)
library(car)## Loading required package: carData
DATA
Data yang digunakan adalah dataset yang berisi transaksi harian bitcoin. Data ini berasal dari situs web kaggle https://www.kaggle.com/datasets/sushilkumarinfo/bitcoin-transactional-data. Variabel yang akan digunakan untuk analisis adalah Price USD dan Transactions dengan jumlah amatan 4389.
Import Data
dataset<-read.csv("C:/Users/user/Documents/G-tak/BTC_DATA.csv")
Xt <- dataset$priceUSD
Yt <- dataset$transactions
data.utama = data.frame(Xt, Yt)
head(data.utama)## Xt Yt
## 1 0.0726 248
## 2 0.0859 354
## 3 0.0783 413
## 4 0.0767 256
## 5 0.0649 221
## 6 0.0566 217
Split Data
Dataset akan di split menjadi 2, yaitu data training dan data testing. Data training akan digunakan untuk pemodelan. Sedangkan data testing digunakan untuk forecasting.
#SPLIT DATA
train<-data.utama[1:3510,]
test<-data.utama[3511:4388,]
train <- as.data.frame(train)
test <- as.data.frame(test)
#data time series
train.ts<-ts(train)
test.ts<-ts(test)
data.ts<-ts(data.utama)MODEL KOYCK
Metode Koyck didasari asumsi bahwa semakin jauh jarak lag pada variabel bebas dari periode sekarang maka semakin kecil pengaruh variabel lag terhadap variabel takbebas (Aqibah et al. 2020)
model.koyck = dLagM::koyckDlm(x = train$Xt, y = train$Yt)
summary(model.koyck)##
## Call:
## "Y ~ (Intercept) + Y.1 + X.t"
##
## Residuals:
## Min 1Q Median 3Q Max
## -108215 -7092 -2466 5179 121747
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.826e+03 5.686e+02 4.970 7.03e-07 ***
## Y.1 9.708e-01 4.204e-03 230.945 < 2e-16 ***
## X.t 6.509e-01 1.426e-01 4.565 5.18e-06 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 21150 on 3506 degrees of freedom
## Multiple R-Squared: 0.9687, Adjusted R-squared: 0.9687
## Wald test: 5.429e+04 on 2 and 3506 DF, p-value: < 2.2e-16
##
## Diagnostic tests:
## NULL
##
## alpha beta phi
## Geometric coefficients: 96742.98 0.6509124 0.9707921
AIC(model.koyck)## [1] 79857.9
BIC(model.koyck)## [1] 79882.55
Forecasting Koyck
fore.koyck <- forecast(model = model.koyck, x=test$Xt, h=878)
fore.koyck## $forecasts
## [1] 333406.6 332224.1 331013.1 329827.0 328598.7 327524.7 326506.3
## [8] 325501.9 324694.2 323958.8 323213.1 322189.1 320737.3 319374.2
## [15] 317985.2 315881.7 312916.6 310118.2 307346.2 304452.7 301757.1
## [22] 299142.0 296919.8 295165.9 293384.6 291633.8 289910.1 288583.0
## [29] 287313.5 286086.3 284907.3 283465.3 281997.7 280665.4 279492.5
## [36] 278264.6 277338.2 276503.9 275662.1 274861.8 274269.0 273842.1
## [43] 273408.0 272990.5 272386.1 271712.0 271122.8 270419.9 269821.6
## [50] 269187.9 268637.9 268221.8 267853.6 267514.4 267113.5 266604.5
## [57] 266190.5 265974.7 265926.0 265893.1 265888.4 265963.3 266049.7
## [64] 266440.8 267266.3 267998.7 268759.9 269576.3 270243.2 270971.3
## [71] 271811.6 272846.1 274157.6 275305.2 275750.7 276187.8 276658.4
## [78] 277287.0 278212.3 279108.0 279904.6 280818.6 281774.2 282670.7
## [85] 283539.0 284137.8 284611.8 285123.4 285569.9 285801.5 286054.4
## [92] 286404.7 286931.6 287536.2 288153.7 288784.4 289411.6 290224.3
## [99] 290796.5 291448.9 292114.9 292693.7 293247.8 293843.6 294412.9
## [106] 295013.8 295509.9 295840.5 296172.4 296482.4 296676.5 297020.5
## [113] 297329.8 297608.5 297831.6 298031.2 298251.7 298543.2 298929.7
## [120] 299187.1 299302.2 299386.6 299419.1 299414.2 299450.5 299506.5
## [127] 299588.2 299653.8 299666.8 299687.2 299689.4 299778.8 299902.1
## [134] 300069.9 300224.9 300293.5 300388.0 300488.2 300601.2 300669.1
## [141] 300739.0 300748.9 300758.6 300788.7 300816.1 300856.9 300976.0
## [148] 301127.4 301381.1 301630.1 301912.1 302321.9 303101.8 304226.7
## [155] 305390.4 306481.6 307645.2 309032.5 310214.6 311307.5 312364.6
## [162] 313526.8 314847.8 316105.5 317303.0 318460.3 319727.0 320790.7
## [169] 321710.1 322659.2 323712.2 324815.1 325869.5 327022.6 328218.2
## [176] 329140.0 330033.6 330869.8 331558.0 332268.3 333030.8 333628.5
## [183] 334136.5 334593.8 335096.4 335628.5 336210.9 336825.0 337540.4
## [190] 338049.3 338199.7 337912.2 337558.9 337167.7 336761.2 336361.5
## [197] 335994.9 335739.9 335469.5 335252.6 335058.3 334940.0 334998.3
## [204] 335134.3 335265.7 335414.1 335615.4 335751.6 335730.2 335568.2
## [211] 335391.4 335221.0 335206.7 335222.0 335237.6 335358.1 335376.9
## [218] 335404.8 335441.8 335327.2 335229.7 335170.8 335178.1 335191.1
## [225] 335142.4 335168.1 335355.1 335763.9 336179.5 336637.7 337087.1
## [232] 337493.4 337893.1 338250.4 338583.1 338961.3 339425.5 340048.6
## [239] 341043.4 342323.5 343570.8 344840.3 346093.5 347319.2 348696.6
## [246] 350094.9 351364.5 352672.6 354139.6 355585.3 356877.5 358139.1
## [253] 359550.6 361446.9 363855.3 366047.6 368071.1 370158.5 372146.6
## [260] 374247.1 376503.6 378935.1 381136.7 383244.8 385528.2 388205.8
## [267] 391330.4 394337.7 397572.3 400961.6 404071.7 407099.4 410302.9
## [274] 413553.5 415631.2 417379.4 419285.5 421577.2 424393.0 427370.0
## [281] 430048.5 432862.9 435499.5 437972.4 440471.5 442933.9 445160.5
## [288] 446878.0 448572.1 449978.5 451684.9 453761.3 455809.5 457919.1
## [295] 460425.2 464512.1 468659.3 472989.4 477357.6 481378.9 485170.2
## [302] 489161.8 492870.9 496931.2 501679.3 507466.3 513030.3 518236.4
## [309] 524234.3 530543.9 536919.2 544047.5 552760.3 560177.7 567631.1
## [316] 576564.3 587303.3 598874.2 610499.6 621354.0 628367.2 635530.4
## [323] 642349.6 651470.4 659674.6 667227.1 673785.8 680394.3 687344.9
## [330] 692990.5 697035.3 700232.9 703660.6 706919.2 710809.1 713735.9
## [337] 716005.7 718588.7 723228.6 727099.1 730462.0 733888.8 737858.6
## [344] 742923.8 748478.9 753921.9 760635.3 766438.0 773512.9 784131.8
## [351] 793844.2 803581.5 813913.2 823733.4 834114.4 843725.4 853701.4
## [358] 864721.7 876073.6 887847.1 901368.8 914983.6 926708.3 934349.1
## [365] 942293.3 950136.9 955574.8 961165.0 965092.2 970701.3 976829.3
## [372] 983933.7 990186.8 995145.6 1000533.6 1006807.6 1013278.5 1021637.5
## [379] 1030655.2 1040000.5 1049447.8 1059876.6 1071109.4 1079824.5 1087132.2
## [386] 1094745.3 1103659.1 1112183.0 1120782.2 1128171.3 1135017.9 1140296.3
## [393] 1145709.6 1149001.5 1152901.0 1157966.9 1163314.4 1169205.5 1175861.2
## [400] 1182551.0 1189154.7 1195824.6 1202082.9 1207359.1 1212728.6 1218185.3
## [407] 1222517.3 1226852.4 1231733.2 1237550.0 1243150.0 1248790.9 1255595.5
## [414] 1263040.4 1269917.0 1275832.5 1281298.0 1283204.7 1285253.6 1286677.0
## [421] 1288015.9 1288248.2 1285921.5 1283783.8 1281435.1 1281331.1 1282260.5
## [428] 1283294.2 1283715.8 1285016.2 1287923.5 1290142.5 1292981.4 1294042.4
## [435] 1295439.6 1297513.2 1299424.8 1302392.9 1304918.9 1307229.2 1308228.2
## [442] 1309268.9 1306300.9 1303638.3 1300200.7 1296123.5 1289950.9 1283864.9
## [449] 1274672.1 1266190.5 1257508.1 1248024.2 1237236.2 1228015.7 1219762.9
## [456] 1212510.8 1205184.8 1196648.5 1187477.0 1178713.3 1170644.3 1163100.6
## [463] 1156230.3 1150370.3 1143756.0 1137002.9 1130021.3 1123201.3 1114620.6
## [470] 1107563.8 1102117.1 1096829.4 1090874.8 1085509.3 1082444.7 1079823.7
## [477] 1076770.8 1073276.0 1068840.5 1063722.3 1058312.8 1051822.0 1044762.5
## [484] 1039037.9 1033481.7 1027846.4 1021146.7 1015670.5 1011268.8 1007693.4
## [491] 1003822.8 999284.8 994589.1 990689.9 987537.9 983715.7 980039.7
## [498] 976734.0 972443.7 968452.5 964930.7 961570.3 958246.9 954469.9
## [505] 950565.0 946526.7 942372.8 938213.9 934311.2 930148.2 925227.5
## [512] 921319.4 918147.7 915294.6 913417.8 911922.0 913033.1 913705.0
## [519] 915782.7 917799.8 919601.1 922659.4 925558.1 927120.4 927908.0
## [526] 928828.9 930181.7 932741.6 936654.1 940973.7 945519.3 950402.8
## [533] 955459.9 959622.1 964447.8 969758.6 974470.5 979370.1 983508.3
## [540] 986980.1 990399.4 995378.6 1001037.1 1006433.3 1012320.3 1017410.4
## [547] 1021924.2 1025720.9 1029642.5 1034208.4 1038482.8 1042269.1 1045437.8
## [554] 1048758.1 1053265.6 1057798.3 1062307.3 1066864.3 1072221.6 1076272.9
## [561] 1077796.2 1079348.0 1080543.2 1081338.4 1082277.6 1082657.6 1083820.7
## [568] 1085944.3 1088227.2 1090232.6 1092596.0 1094577.9 1094505.5 1093009.8
## [575] 1091591.0 1091217.9 1090253.0 1088943.4 1087817.8 1087206.7 1085588.3
## [582] 1083959.9 1083283.1 1084404.4 1086688.1 1089026.8 1091354.4 1094841.0
## [589] 1100011.9 1106101.2 1112043.9 1118021.3 1124081.9 1130948.4 1137612.3
## [596] 1143661.8 1150615.7 1158716.5 1167605.3 1175941.5 1184647.4 1193665.9
## [603] 1203833.5 1213406.1 1221300.8 1228207.3 1234688.9 1242206.1 1249341.7
## [610] 1254443.7 1259813.3 1265894.4 1271858.4 1277307.8 1282718.4 1288748.2
## [617] 1294828.3 1300080.7 1304960.2 1309336.0 1314343.6 1321561.2 1329754.0
## [624] 1337227.8 1343240.0 1348596.2 1353710.1 1358959.7 1364488.2 1367096.7
## [631] 1368949.4 1370226.6 1370242.8 1371210.2 1372461.7 1372537.0 1372298.9
## [638] 1371980.5 1372601.6 1371736.1 1370076.3 1368412.4 1368738.0 1368907.7
## [645] 1369095.2 1368834.0 1368044.0 1362855.5 1357825.0 1352760.5 1349260.9
## [652] 1345413.8 1340895.4 1335960.8 1331298.6 1327483.4 1322934.1 1317829.7
## [659] 1313490.1 1309579.3 1304799.1 1299854.6 1295432.1 1290638.8 1287269.2
## [666] 1284376.8 1281624.8 1280235.5 1278754.1 1276868.7 1275636.5 1273024.7
## [673] 1269647.4 1266042.1 1262676.1 1259281.6 1256074.0 1252694.0 1249158.1
## [680] 1245385.7 1239890.6 1233854.9 1227789.2 1222028.2 1216242.2 1211005.3
## [687] 1206563.1 1202418.7 1197947.4 1193856.1 1189861.4 1185626.8 1181115.5
## [694] 1176726.9 1172661.1 1166424.1 1158300.7 1150344.2 1142416.5 1135638.0
## [701] 1129698.7 1123190.2 1117318.3 1112125.0 1107171.8 1102105.0 1097836.4
## [708] 1093370.9 1088216.3 1084402.8 1082583.2 1080862.2 1080167.3 1079988.6
## [715] 1079859.4 1080000.2 1079391.0 1078244.9 1077134.3 1075988.5 1075940.3
## [722] 1075978.8 1075149.2 1072876.0 1070444.0 1067238.1 1063956.7 1060050.5
## [729] 1056792.8 1052260.7 1049615.9 1047311.3 1044746.6 1042662.3 1043434.6
## [736] 1044459.6 1044852.7 1043788.5 1041549.3 1039272.0 1036629.0 1034291.7
## [743] 1033801.6 1032173.7 1030172.9 1028292.3 1026323.5 1024332.7 1022581.7
## [750] 1021640.2 1021132.3 1020610.6 1020634.7 1020605.9 1020374.3 1021015.8
## [757] 1021518.8 1022708.2 1024481.2 1026277.8 1028373.6 1031952.0 1035584.8
## [764] 1038912.3 1041773.5 1043803.2 1046376.5 1048790.6 1050951.9 1053248.0
## [771] 1054363.2 1054677.2 1054885.7 1054533.6 1054388.2 1053259.7 1051313.5
## [778] 1049767.7 1048427.2 1046814.1 1045360.7 1043897.0 1042047.8 1041157.4
## [785] 1040561.1 1040141.1 1038719.9 1037037.5 1035378.9 1033496.0 1031972.7
## [792] 1029918.5 1028448.2 1026686.4 1024590.6 1022262.6 1020410.0 1018338.1
## [799] 1016681.4 1014840.8 1011561.4 1008193.6 1004071.5 998855.1 992902.0
## [806] 986640.4 979223.5 973088.7 966624.7 960820.1 955107.7 949746.9
## [813] 944113.1 938595.0 933417.8 928080.0 923193.6 918652.3 913725.6
## [820] 909233.1 904675.9 899891.8 895237.1 890884.9 887600.4 885142.2
## [827] 882355.5 878964.7 875643.7 872227.7 868986.9 866763.8 863814.2
## [834] 861248.8 858614.5 855676.9 852312.3 848233.6 842067.5 834722.3
## [841] 827048.2 819670.4 812014.8 803711.8 795601.9 788398.0 781865.4
## [848] 775074.4 768613.2 762713.8 757098.0 751715.2 746283.9 740786.0
## [855] 735080.3 729027.1 723266.5 717478.2 711815.4 706540.6 701745.3
## [862] 697202.7 693182.0 689920.6 686664.6 683190.6 679385.8 675229.4
## [869] 671092.9 667448.2 664305.7 661310.3 658634.7 656416.8 654724.6
## [876] 653767.8 652427.6 651262.6
##
## $call
## forecast.koyckDlm(model = model.koyck, x = test$Xt, h = 878)
##
## attr(,"class")
## [1] "forecast.koyckDlm" "dLagM"
Akurasi Model Koyck
##mape data testing
mape.koyck <- MAPE(fore.koyck$forecasts, test$Yt)
##akurasi data training
mape_train <- dLagM::GoF(model.koyck)["MAPE"]
c("MAPE_testing" = mape.koyck, "MAPE_training" = mape_train)## $MAPE_testing
## [1] 2.060016
##
## $MAPE_training.MAPE
## [1] 0.8096704
REGRESSION WITH DISTRIBUTED LAG
Model DLM
#Penentuan lag optimum
lagop<-finiteDLMauto(formula=Yt ~ Xt,
data = data.frame(train.ts),model.type = "dlm",error.type = "AIC");lagop## q - k MASE AIC BIC GMRAE MBRAE R.Adj.Sq Ljung-Box
## 10 10 5.46499 89409.47 89489.56 12.58062 0.33595 0.49246 0
#Model DLM
model.dlm = dLagM::dlm(x = train$Xt,y = train$Yt , q = 10)
summary(model.dlm)##
## Call:
## lm(formula = model.formula, data = design)
##
## Residuals:
## Min 1Q Median 3Q Max
## -206533 -65950 -29316 64307 236550
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 90737.3805 1713.4305 52.957 < 2e-16 ***
## x.t 33.6180 8.4743 3.967 7.42e-05 ***
## x.1 -9.6832 13.2712 -0.730 0.466
## x.2 12.1181 13.4237 0.903 0.367
## x.3 2.6618 13.3961 0.199 0.843
## x.4 -4.3925 13.3710 -0.329 0.743
## x.5 -4.5866 13.3691 -0.343 0.732
## x.6 2.3666 13.3882 0.177 0.860
## x.7 1.0990 13.4360 0.082 0.935
## x.8 -3.6706 13.4671 -0.273 0.785
## x.9 0.4367 13.3161 0.033 0.974
## x.10 -6.4355 8.5015 -0.757 0.449
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 85120 on 3488 degrees of freedom
## Multiple R-squared: 0.4941, Adjusted R-squared: 0.4925
## F-statistic: 309.6 on 11 and 3488 DF, p-value: < 2.2e-16
##
## AIC and BIC values for the model:
## AIC BIC
## 1 89409.47 89489.56
Forecasting DLM
(fore.dlm <- forecast(model = model.dlm, x=test$Xt, h=878))## $forecasts
## [1] 298990.0 290805.3 284661.8 280452.9 281018.4 289230.5 288102.8
## [8] 287861.1 299919.2 301632.3 304184.9 292693.6 273449.1 274785.5
## [15] 262112.6 224725.5 191229.5 196528.6 168715.3 162941.3 185182.0
## [22] 185109.4 202803.8 223685.9 225456.3 239079.1 245751.6 258831.5
## [29] 252732.5 263836.7 263972.0 244137.8 240214.3 237636.2 241437.0
## [36] 236698.4 257331.6 250927.1 250425.9 255681.5 264106.0 269158.2
## [43] 270064.3 274538.1 260319.9 257172.0 255521.4 245559.0 253481.2
## [50] 248432.2 251452.8 254199.5 257055.6 259641.8 258381.3 254086.6
## [57] 256615.9 264327.3 270313.6 273794.6 278055.7 279054.1 276900.5
## [64] 294184.7 314011.3 309373.5 320444.2 320589.8 306876.1 312453.5
## [71] 318116.2 325533.3 338886.1 330802.1 298226.9 305268.7 291900.8
## [78] 295837.8 317857.9 319224.7 316174.5 321915.1 319472.3 318429.6
## [85] 328938.5 315162.9 309243.5 307589.2 299251.8 290940.6 297479.8
## [92] 296865.3 303138.2 310636.5 316337.0 320321.0 320720.6 330806.7
## [99] 317183.7 330921.7 326645.0 320833.0 320616.4 323160.3 319692.6
## [106] 322128.9 318997.5 310121.4 313047.7 308457.6 302707.4 314276.0
## [113] 309567.3 309744.3 308992.4 308317.1 308335.1 313704.1 319453.7
## [120] 312882.9 310949.6 307485.9 301669.7 300131.5 304313.3 304526.9
## [127] 305285.5 304963.9 302550.8 304149.9 303473.9 308665.2 309761.9
## [134] 313831.3 313056.9 309350.4 311163.2 309387.6 310853.7 309006.0
## [141] 310621.6 305184.6 305462.9 305706.3 305261.3 307438.0 311368.1
## [148] 312111.5 318193.4 318465.1 321958.2 328572.0 346409.2 361623.5
## [155] 367259.1 371316.8 375354.9 381787.9 368492.8 374314.5 370901.1
## [162] 370639.5 373944.5 371588.4 373816.5 371852.3 376494.9 362545.9
## [169] 364686.4 366998.0 368145.9 369926.0 371220.6 380505.4 379981.1
## [176] 368482.4 373142.7 368414.2 360557.2 364587.3 366326.5 356102.3
## [183] 356486.5 353944.3 353376.1 356759.1 362958.1 365907.9 372932.3
## [190] 362227.6 348642.3 329428.8 324414.3 314399.1 313804.8 316937.7
## [197] 318134.4 322154.4 320009.1 328638.3 332028.3 339783.8 348533.6
## [204] 352178.4 354270.2 356577.2 357994.5 351725.6 346181.6 339912.3
## [211] 336411.3 332555.3 339436.7 339661.3 342241.8 348363.5 340772.9
## [218] 344694.2 345529.2 338419.4 340898.3 340719.1 341363.2 341361.1
## [225] 341097.8 344114.2 350317.3 361163.5 362466.3 371264.6 369672.4
## [232] 366296.3 366015.2 363906.4 363372.5 364402.4 366925.0 372889.3
## [239] 392597.3 405898.9 408178.7 417385.6 415568.6 412741.5 422009.8
## [246] 422555.3 417586.1 421494.5 424347.5 418468.1 417116.0 420380.1
## [253] 424601.5 446946.1 472071.6 466710.1 474312.1 476068.8 461555.2
## [260] 471680.9 484898.5 494546.1 481575.5 483191.4 486172.9 503330.5
## [267] 529684.1 530429.2 556456.4 558256.4 543921.9 549198.1 561343.9
## [274] 558834.0 501591.6 506035.6 492268.5 498519.0 530597.1 551181.7
## [281] 546542.8 559752.3 545449.5 541076.1 558439.4 559094.8 545232.7
## [288] 522166.2 522717.1 495909.3 519586.8 534627.0 538184.6 553409.3
## [295] 576300.3 653269.0 645802.0 698301.4 706927.5 685863.8 673349.7
## [302] 686342.3 667515.6 690563.0 722545.3 759467.6 751700.8 764990.3
## [309] 810551.9 805901.7 826374.3 885653.0 965108.7 881814.6 938661.5
## [316] 995221.3 1055246.7 1114354.5 1166319.2 1144035.1 941742.1 988150.8
## [323] 888355.7 1020402.3 965728.2 999802.2 927104.8 911534.6 922072.8
## [330] 874660.6 873660.9 822565.2 816737.3 769317.8 841224.6 800712.3
## [337] 797736.6 810291.0 898262.5 853475.9 908035.4 926609.5 919560.0
## [344] 969587.7 1008141.9 1035278.5 1111081.2 1044917.2 1127317.4 1297862.4
## [351] 1229940.0 1318473.2 1354950.4 1286874.0 1318681.0 1304344.4 1332875.7
## [358] 1369252.5 1384345.5 1399704.3 1516983.0 1512659.6 1444468.5 1292611.3
## [365] 1322550.9 1229071.4 1115537.0 1192646.5 1071031.4 1153502.7 1132814.4
## [372] 1239517.2 1218652.3 1227614.6 1251506.9 1260402.6 1302560.2 1429132.1
## [379] 1471957.2 1489240.3 1513060.7 1569610.7 1602348.2 1501048.7 1492840.3
## [386] 1471321.9 1490419.0 1454922.2 1522786.8 1458111.2 1430067.2 1338478.2
## [393] 1362965.4 1254702.5 1333110.8 1358623.7 1354746.3 1423798.3 1480818.6
## [400] 1490196.1 1500750.2 1543473.0 1515724.3 1490725.2 1506134.1 1482871.0
## [407] 1422081.1 1449156.9 1458872.8 1492730.6 1491971.4 1535087.5 1595863.7
## [414] 1616564.4 1610072.9 1597295.4 1588268.0 1379980.3 1428465.7 1332941.9
## [421] 1329400.2 1280858.4 1171540.1 1181064.3 1117041.7 1257593.2 1296823.6
## [428] 1377820.6 1361707.5 1418005.4 1470431.1 1436468.8 1552354.9 1436773.3
## [435] 1470309.7 1446315.1 1430601.2 1504901.3 1479052.7 1480567.9 1389942.1
## [442] 1420436.0 1175593.2 1262601.4 1148936.9 1104938.2 1011938.4 1037052.9
## [449] 824859.8 891030.1 851959.2 806446.3 791758.5 875999.1 867919.8
## [456] 926315.6 975954.2 917969.8 905488.2 891302.1 903457.9 928753.7
## [463] 985364.7 1011064.0 946480.1 954330.4 926953.0 926971.0 826136.2
## [470] 928269.4 941698.4 929889.4 931507.9 968508.9 1043461.8 1028887.4
## [477] 1067009.4 1059779.8 997741.5 930311.0 898234.2 830574.4 804158.8
## [484] 854234.6 804241.0 815568.5 781756.1 850239.8 857755.0 913466.0
## [491] 923379.4 911974.8 893962.1 896884.6 920785.4 891016.4 933490.6
## [498] 915559.5 835719.9 865638.6 875840.3 872515.5 879785.2 860451.7
## [505] 841380.0 823648.5 816080.6 808106.3 825762.8 800552.0 761114.1
## [512] 816341.5 817943.4 840335.3 910592.8 923099.7 1055500.2 1005294.6
## [519] 1133512.0 1106802.6 1113376.9 1167108.7 1133155.4 1082625.1 1050129.6
## [526] 1040917.0 1000624.2 1076520.8 1143369.8 1166067.8 1202035.8 1218401.9
## [533] 1223909.7 1193547.0 1258989.8 1257417.5 1221692.9 1250786.4 1194467.5
## [540] 1160226.3 1155907.0 1232530.2 1242377.4 1269055.9 1323100.9 1259853.8
## [547] 1248825.6 1216386.4 1234326.4 1254131.0 1242127.7 1231289.7 1198712.0
## [554] 1206739.4 1249682.0 1257063.5 1294445.3 1312280.8 1346710.1 1261605.7
## [561] 1179786.2 1204450.0 1128764.7 1105617.4 1129048.0 1102415.9 1137628.4
## [568] 1174152.2 1187420.4 1204893.7 1261741.7 1223557.8 1127367.8 1090871.7
## [575] 1070018.7 1085657.2 1042774.3 1066069.9 1069390.6 1071251.9 1013960.6
## [582] 1056076.8 1106250.7 1181187.3 1240222.3 1266910.8 1293854.4 1344284.3
## [589] 1407101.7 1452464.8 1487540.7 1509969.5 1490368.8 1508592.1 1488282.2
## [596] 1483174.2 1538139.4 1559353.1 1587854.9 1582167.9 1638480.1 1631689.3
## [603] 1691341.6 1662133.9 1620543.2 1592219.5 1537358.2 1568273.3 1538268.4
## [610] 1484683.9 1522954.9 1512176.9 1486768.0 1509971.6 1552035.8 1569022.7
## [617] 1565859.1 1547669.3 1554709.8 1534334.9 1561179.1 1663149.9 1708705.2
## [624] 1714325.2 1682543.6 1645345.0 1599052.9 1614077.9 1646298.2 1505405.8
## [631] 1506575.8 1415208.3 1324745.3 1402692.9 1418289.0 1369579.3 1383580.2
## [638] 1375947.9 1398396.9 1342462.5 1365085.7 1349151.1 1431180.4 1390149.1
## [645] 1446437.7 1442329.1 1400634.0 1167589.4 1224191.9 1150079.4 1211697.3
## [652] 1198738.4 1199591.1 1168520.7 1153639.8 1196395.2 1157901.0 1203421.7
## [659] 1223836.0 1210268.2 1153974.1 1181460.0 1193881.4 1143955.7 1233035.9
## [666] 1233147.6 1253209.8 1334366.1 1306404.1 1294672.3 1343158.2 1252846.6
## [673] 1221144.7 1205255.7 1183628.2 1158102.6 1183820.3 1160701.3 1146220.7
## [680] 1137970.0 1040648.5 1040560.8 1015863.1 1012278.1 1005169.7 1048006.4
## [687] 1071903.3 1076642.3 1075614.0 1105897.9 1104680.7 1090880.1 1084136.5
## [694] 1082520.0 1079395.7 954868.7 887527.7 871014.9 815079.5 868647.6
## [701] 917057.9 895778.0 938914.9 951883.5 950739.5 972477.7 1041282.5
## [708] 997749.7 966471.2 1036084.3 1088281.0 1083024.1 1177803.6 1191624.3
## [715] 1175553.2 1196046.0 1156336.9 1132966.1 1126635.1 1100312.7 1134127.0
## [722] 1128895.0 1094451.8 1028272.5 1018997.3 939517.1 949147.1 921786.7
## [729] 956288.9 864890.1 981122.9 954742.7 969277.2 1028859.8 1163345.1
## [736] 1136272.9 1157386.2 1126930.9 1037492.0 1013312.6 961808.0 987791.8
## [743] 1072147.3 987903.5 990137.7 989529.4 965097.7 971966.4 1012216.4
## [750] 1047421.0 1051625.3 1065455.4 1086870.5 1081249.6 1078709.2 1127820.9
## [757] 1104458.4 1151568.5 1174435.0 1170929.3 1189187.0 1267486.4 1247356.8
## [764] 1257860.9 1254832.0 1194460.2 1216653.0 1187406.8 1186439.0 1198246.0
## [771] 1130234.9 1088980.4 1078643.6 1039168.8 1057699.5 1014777.3 984283.6
## [778] 996448.5 988877.6 978042.5 1016398.8 1017931.0 988625.4 1053177.0
## [785] 1050169.5 1075428.4 1040298.5 1039174.9 1011889.5 991462.4 1019031.7
## [792] 984946.2 1027341.5 982346.8 977257.1 963900.3 991896.1 966175.1
## [799] 999190.9 988998.8 911856.2 926853.4 854103.3 797991.4 767362.7
## [806] 745811.4 657368.5 734960.8 681867.2 734099.4 744578.5 769043.9
## [813] 747460.1 770607.3 786541.5 763113.4 805081.7 796438.9 774554.6
## [820] 796421.2 777251.2 758741.7 766917.9 773464.8 811980.8 844897.2
## [827] 834069.9 815391.2 817864.1 782045.7 788464.4 845618.5 791344.4
## [834] 829207.9 799410.1 773098.2 753254.1 726152.6 610454.2 555935.7
## [841] 514137.4 487761.9 472472.8 453954.3 463375.2 483109.0 507992.7
## [848] 513109.5 566665.8 581994.8 581535.4 596923.1 598526.2 592199.9
## [855] 567655.2 538098.0 540289.1 523200.1 525680.9 535551.3 548663.0
## [862] 552067.3 582653.0 616604.7 608514.7 611170.1 591565.5 562434.3
## [869] 551182.3 564590.7 576270.7 580140.0 599138.6 609088.6 628477.0
## [876] 668500.5 651821.8 678711.2
##
## $call
## forecast.dlm(model = model.dlm, x = test$Xt, h = 878)
##
## attr(,"class")
## [1] "forecast.dlm" "dLagM"
Akurasi Model DLM
#mape data testing
mape.dlm <- MAPE(fore.dlm$forecasts, test$Yt)
#akurasi data training
mape_train <- GoF(model.dlm)["MAPE"]
c("MAPE_testing" = mape.dlm, "MAPE_training" = mape_train)## $MAPE_testing
## [1] 2.195145
##
## $MAPE_training.MAPE
## [1] 21.98604
AUTOREGRESSIVE / DYNAMIC REGRESSION MODEL
Model ARDLM
model.ardl = ardlDlm(x = train$Xt, y = train$Yt, p = 1 , q = 1)
summary(model.ardl)##
## Time series regression with "ts" data:
## Start = 2, End = 3510
##
## Call:
## dynlm(formula = as.formula(model.text), data = data, start = 1)
##
## Residuals:
## Min 1Q Median 3Q Max
## -108276 -7093 -2478 5168 121218
##
## Coefficients:
## Estimate Std. Error t value Pr(>|t|)
## (Intercept) 2.844e+03 5.686e+02 5.001 5.99e-07 ***
## X.t 2.886e+00 2.056e+00 1.404 0.161
## X.1 -2.227e+00 2.053e+00 -1.084 0.278
## Y.1 9.705e-01 4.199e-03 231.116 < 2e-16 ***
## ---
## Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
##
## Residual standard error: 21150 on 3505 degrees of freedom
## Multiple R-squared: 0.9687, Adjusted R-squared: 0.9687
## F-statistic: 3.62e+04 on 3 and 3505 DF, p-value: < 2.2e-16
Forecasting ARDLM
fore.ardl <- forecast(model = model.ardl, x=test$Xt, h=878)
fore.ardl## $forecasts
## [1] 332389.0 330646.7 329259.2 328082.4 326635.5 326019.2 325122.7
## [8] 324101.0 323904.6 323358.3 322519.7 320484.4 317506.6 316386.9
## [15] 314850.6 310236.6 304249.0 301950.3 299200.2 295822.9 293740.0
## [22] 291339.8 290406.4 290207.8 288285.5 286594.1 284919.2 284911.6
## [29] 283803.5 282686.5 281639.5 279262.2 277672.3 276770.8 276113.7
## [36] 274668.6 274748.8 274206.8 273316.7 272637.1 272736.3 272860.6
## [43] 272387.0 272011.5 270750.5 269821.3 269506.6 268398.3 268142.6
## [50] 267373.4 267095.9 267126.3 266911.6 266661.5 266039.1 265148.8
## [57] 265049.5 265504.7 266022.6 266038.7 266126.6 266470.5 266593.2
## [64] 268027.8 270346.2 270765.1 271629.8 272641.0 272800.4 273742.7
## [71] 274972.8 276679.9 278950.7 279546.6 277590.5 277999.0 278584.8
## [78] 279757.2 281704.0 282504.3 282966.5 284287.9 285392.4 286092.0
## [85] 286869.2 286547.8 286594.6 287235.5 287459.2 286953.2 287276.3
## [92] 287958.9 289091.2 289963.8 290627.8 291306.2 291924.1 293375.9
## [99] 293126.8 294056.6 294771.4 295053.7 295524.6 296265.2 296745.4
## [106] 297456.1 297594.4 297357.3 297692.9 297925.8 297720.9 298576.9
## [113] 298765.9 298938.7 298969.1 299086.2 299376.0 299909.4 300621.1
## [120] 300435.3 300060.5 300036.5 299887.4 299750.3 299923.7 300044.1
## [127] 300210.9 300218.6 300047.8 300090.3 300026.9 300412.3 300649.5
## [134] 300968.7 301079.0 300849.1 301030.7 301148.6 301303.5 301215.6
## [141] 301290.1 301092.2 301098.2 301196.5 301212.0 301297.1 301682.9
## [148] 301944.4 302549.1 302782.3 303178.7 304028.5 306082.1 308398.8
## [155] 309706.6 310560.6 311982.5 314149.2 314640.0 315437.3 316380.7
## [162] 317912.8 319788.7 320840.4 321841.9 322870.9 324522.2 324899.0
## [169] 325330.3 326387.4 327802.5 329084.1 329979.5 331478.6 332828.0
## [176] 332817.8 333619.4 334263.1 334446.4 335235.0 336178.7 336213.2
## [183] 336413.9 336697.1 337354.2 337987.7 338742.6 339466.9 340530.9
## [190] 340333.5 339252.6 337457.1 336868.4 336337.3 335868.3 335481.3
## [197] 335218.8 335338.0 335007.5 334966.7 334843.4 334979.8 335639.4
## [204] 336039.4 336153.1 336358.0 336739.6 336651.4 336087.2 335438.9
## [211] 335206.2 335053.0 335569.5 335684.0 335697.9 336176.6 335844.8
## [218] 335902.2 335967.8 335331.4 335288.7 335359.3 335591.0 335621.5
## [225] 335359.7 335638.1 336377.7 337548.3 337991.0 338598.4 339021.2
## [232] 339283.1 339662.8 339877.8 340127.6 340664.4 341426.1 342598.4
## [239] 344874.9 347144.5 348292.0 349649.7 350859.4 352002.5 353911.9
## [246] 355395.0 356235.5 357686.5 359710.9 361096.2 361873.6 363040.5
## [253] 364976.8 368549.0 372733.5 374206.5 375670.0 377994.3 379658.9
## [260] 382162.0 384971.8 388022.9 389455.9 391260.0 394161.7 398210.6
## [267] 402892.8 405524.6 409564.7 413513.3 415693.2 418462.9 422293.8
## [274] 425731.1 423806.5 424433.9 426888.7 430513.3 435141.9 438691.6
## [281] 440365.9 443663.9 445707.8 447634.8 450236.9 452587.6 454017.0
## [288] 453996.9 455614.2 456036.1 458772.9 462123.7 464083.9 466411.8
## [295] 470288.6 479817.3 484203.8 489194.2 493727.6 496591.4 499621.7
## [302] 504327.3 507093.8 512384.0 519522.2 528912.1 533757.5 537778.9
## [309] 546534.5 553962.2 560613.4 570378.1 584590.3 587636.2 595272.3
## [316] 609346.2 626361.6 640885.3 652802.0 661110.9 655025.0 662746.2
## [323] 668428.6 685492.9 690616.0 695985.2 699176.6 705989.7 714148.2
## [330] 715349.4 713917.7 714207.6 718417.0 721089.7 727140.5 726761.4
## [337] 726765.1 730406.2 742097.0 743337.4 744960.8 748604.3 754437.4
## [344] 763269.7 770526.2 775608.8 786708.0 789421.1 800891.8 823722.3
## [351] 830406.0 840300.0 852742.9 860883.5 873258.6 880300.2 891593.5
## [358] 906267.1 918836.6 932139.1 951748.9 965788.7 971126.2 964821.9
## [365] 973836.7 981367.2 978574.4 984689.1 982909.3 994277.8 1002193.2
## [372] 1012662.3 1016015.9 1016543.0 1023403.1 1032723.5 1039885.1 1054744.9
## [379] 1066064.5 1076582.4 1086430.6 1100281.8 1114337.7 1114478.0 1116992.7
## [386] 1125676.8 1139083.6 1146310.3 1155204.2 1158475.4 1163481.0 1163389.8
## [393] 1169262.9 1165269.5 1171229.0 1180283.0 1186594.9 1194353.8 1203643.3
## [400] 1210467.8 1216794.2 1223708.5 1228571.6 1230488.3 1236179.4 1241938.8
## [407] 1242413.1 1246749.7 1253496.6 1262526.8 1267393.4 1273182.9 1283993.0
## [414] 1293660.1 1298616.2 1301255.1 1305187.3 1294880.3 1297381.8 1296624.6
## [421] 1297634.1 1294027.4 1282862.0 1281293.2 1278144.4 1285672.1 1290103.1
## [428] 1291461.8 1289750.4 1294031.2 1302430.8 1302280.7 1307235.2 1302185.6
## [435] 1304710.8 1309086.2 1310428.6 1317011.2 1318018.5 1319582.6 1316070.5
## [442] 1317231.5 1300475.3 1298791.9 1292629.2 1286283.5 1272838.0 1266948.3
## [449] 1246989.4 1240817.2 1231324.6 1218967.7 1203574.2 1199596.2 1194548.6
## [456] 1190629.1 1182959.8 1170179.4 1158725.5 1151256.0 1145473.5 1139645.3
## [463] 1135007.1 1132546.5 1123284.6 1115990.2 1108159.0 1101827.5 1087137.3
## [470] 1085230.1 1085249.5 1080465.7 1072180.8 1068791.6 1073589.0 1072480.6
## [477] 1067939.6 1062916.5 1055234.8 1047744.7 1041300.5 1031058.6 1021995.8
## [484] 1020799.0 1015782.5 1009838.9 999447.5 998123.9 997378.6 996621.0
## [491] 991726.9 984883.7 979624.9 978438.0 977838.9 971711.3 968524.8
## [498] 966480.4 958802.8 955820.7 953896.5 951082.0 947878.8 942537.8
## [505] 938181.7 933672.4 929106.0 924913.9 921874.8 916805.0 909265.8
## [512] 908810.2 908154.8 906391.7 907867.9 907691.6 917770.8 916980.6
## [519] 923926.0 925790.3 926904.0 934328.5 936742.3 933775.3 931944.9
## [526] 933355.0 936223.8 942965.3 951573.3 957356.4 962746.8 968860.2
## [533] 974586.1 975747.6 982911.7 989955.6 992681.3 998288.2 999874.4
## [540] 1001110.5 1004392.4 1014770.1 1022820.7 1027382.7 1035016.5 1037436.5
## [547] 1040026.5 1041408.1 1045795.5 1052612.6 1055931.1 1058082.2 1059163.9
## [554] 1063030.4 1071642.4 1076302.7 1080771.0 1085532.1 1093677.0 1093291.6
## [561] 1086165.2 1087814.9 1087786.9 1087204.9 1088631.0 1087084.7 1090924.2
## [568] 1096344.2 1099183.3 1100246.6 1103846.9 1104530.7 1097411.2 1091009.9
## [575] 1089820.7 1093006.5 1089990.1 1087470.7 1086948.0 1088077.7 1082980.8
## [582] 1081287.0 1083848.1 1091126.0 1097405.1 1099950.8 1102259.0 1109743.5
## [589] 1120729.8 1130024.3 1135524.8 1141679.6 1148083.3 1157774.4 1163808.7
## [596] 1167810.1 1177923.5 1190026.0 1201696.3 1208219.0 1218269.8 1228440.5
## [603] 1242634.7 1250256.5 1252473.7 1256048.6 1261119.7 1272236.6 1278116.4
## [610] 1276284.3 1282596.6 1291147.8 1296744.9 1300460.2 1305764.3 1313946.1
## [617] 1320232.3 1322674.9 1326297.1 1328960.9 1336150.0 1350976.4 1362563.9
## [624] 1367625.6 1368666.2 1371798.8 1376101.2 1381834.7 1388340.2 1380943.6
## [631] 1380188.3 1379467.9 1375126.2 1379318.1 1381516.5 1377527.6 1376175.5
## [638] 1375540.8 1379347.5 1373349.0 1368916.9 1367185.0 1374291.1 1373898.6
## [645] 1374119.7 1372290.8 1369653.9 1349323.9 1344747.4 1339481.4 1341273.0
## [652] 1336170.2 1329281.6 1322846.9 1319045.4 1318069.1 1310941.2 1303865.2
## [659] 1302081.7 1299583.8 1291765.5 1286194.4 1283501.4 1277380.0 1278840.7
## [666] 1277547.3 1275244.5 1278503.9 1276692.1 1273405.1 1274397.2 1267036.4
## [673] 1261003.7 1256579.1 1253997.3 1250470.3 1247871.1 1243867.7 1239764.5
## [680] 1235146.4 1223699.4 1215751.8 1209521.7 1204747.0 1198819.7 1195414.0
## [687] 1193654.3 1190495.9 1184870.5 1182048.3 1178355.7 1173268.4 1167776.3
## [694] 1163775.3 1160786.4 1147066.5 1132412.2 1124954.5 1117054.1 1114153.2
## [701] 1111041.4 1102535.1 1098800.3 1095896.6 1091736.6 1086250.8 1084694.2
## [708] 1079533.3 1071991.0 1072753.3 1077767.6 1076396.8 1079236.9 1080854.9
## [715] 1080924.9 1082021.7 1078868.1 1075900.0 1074925.3 1073672.4 1077407.0
## [722] 1077769.1 1073984.4 1066768.8 1063788.5 1057920.2 1054364.7 1048298.0
## [729] 1047244.7 1038322.1 1042128.4 1040985.7 1037525.5 1037085.4 1047667.3
## [736] 1049594.8 1047853.8 1041813.6 1035548.8 1033135.6 1029231.3 1027933.7
## [743] 1033780.7 1028261.6 1024981.8 1023511.4 1021237.9 1019169.2 1018238.4
## [750] 1020076.3 1021067.0 1020512.1 1022423.7 1022233.5 1021323.6 1024979.0
## [757] 1025031.9 1028601.3 1032409.3 1034324.5 1037483.4 1046192.8 1050068.0
## [764] 1052402.4 1053712.8 1052930.8 1057402.7 1059308.5 1060637.2 1063427.6
## [771] 1060520.4 1058100.1 1057953.6 1055682.0 1056246.0 1051742.6 1046977.6
## [778] 1046787.2 1046136.7 1043575.3 1042655.3 1041143.4 1037957.5 1040342.4
## [785] 1040751.1 1040934.6 1036075.7 1033484.8 1031893.2 1029226.1 1028921.3
## [792] 1025032.1 1025549.4 1022775.5 1019519.3 1016375.6 1016135.6 1013296.7
## [799] 1013049.7 1010566.2 1002332.8 998631.1 991887.8 982874.7 974339.8
## [806] 966959.6 955513.1 953706.8 946054.8 942454.3 937006.9 932804.8
## [813] 926189.5 921022.5 916971.5 911043.1 907666.5 904276.3 897996.3
## [820] 894961.2 890153.9 884562.6 880321.3 876979.8 877337.4 877705.3
## [827] 873789.2 868318.9 865224.7 861470.6 858818.9 860079.7 854636.6
## [834] 853383.4 850509.5 846527.1 841688.1 835144.6 821788.7 810348.7
## [841] 801485.2 795062.9 786395.3 775809.4 768295.8 764140.0 759861.5
## [848] 752141.3 746768.3 742757.9 738083.6 733472.4 727849.2 722097.0
## [855] 715651.3 708376.0 703588.1 697676.4 692416.1 688447.2 685277.0
## [862] 681586.4 679345.5 678685.0 675450.4 671230.2 666289.1 660920.2
## [869] 656842.6 654877.7 653456.5 650968.9 649395.7 648756.7 648882.0
## [876] 650469.2 647838.7 647296.2
##
## $call
## forecast.ardlDlm(model = model.ardl, x = test$Xt, h = 878)
##
## attr(,"class")
## [1] "forecast.ardlDlm" "dLagM"
Akurasi Model ARDLM
#akurasi testing
mape.ardl <- MAPE(fore.ardl$forecasts, test$Yt) #data testing
#akurasi data training
mape_train <- GoF(model.ardl)["MAPE"]
c("MAPE_testing" = mape.ardl, "MAPE_training" = mape_train)## $MAPE_testing
## [1] 2.067048
##
## $MAPE_training.MAPE
## [1] 0.8139763
PERBANDINGAN KEAKURATAN RAMALAN
Perbandingan
akurasi <- matrix(c(mape.koyck,mape.dlm, mape.ardl))
row.names(akurasi)<- c("Koyck","DLM","Autoregressive")
colnames(akurasi) <- c("MAPE")
akurasi## MAPE
## Koyck 2.060016
## DLM 2.195145
## Autoregressive 2.067048
##Plot Perbandingan Data Aktual dengan Tiga Metode Penanganan Autokorelasi
par(mfrow=c(1,1))
plot(1:nrow(test), test$Yt, type="b", col="black",xlab="Index waktu",
main="Perbandingan Metode Ramalan vs Aktual")
points(1:nrow(test), test$Yt,col="black",pch=19)
lines(1:nrow(test), test$Yt,col="black")
points(1:nrow(test), fore.koyck$forecasts,col="blue",pch=19)
lines(1:nrow(test), fore.koyck$forecasts,col="blue")
points(1:nrow(test), fore.dlm$forecasts,col="red",pch=19)
lines(1:nrow(test), fore.dlm$forecasts,col="red")
points(1:nrow(test), fore.ardl$forecasts,col="green",pch=19)
lines(1:nrow(test), fore.ardl$forecasts,col="green")
legend("topright",c("data aktual", "Koyck", "DLM","Autoregressive"), lty=1,
col=c("black", "blue", "red", "green"))DIAGNOSTIK MODEL
Uji Normalitas
shapiro.test(residuals(model.dlm))## 1 2 3 4 5
## -88946.60841 -89051.73252 -90595.87246 -90646.93274 -90613.81756
## 6 7 8 9 10
## -90582.93527 -90317.79194 -90542.80410 -90441.81729 -90526.87291
## 11 12 13 14 15
## -90620.74792 -90546.77290 -90504.96149 -90589.98254 -90559.87815
## 16 17 18 19 20
## -90564.18403 -90437.93365 -90585.99580 -90630.98849 -90432.92695
## 21 22 23 24 25
## -90550.03499 -90495.02958 -90548.97628 -90508.94123 -90569.97602
## 26 27 28 29 30
## -90584.87545 -90582.90776 -90574.90575 -90589.92032 -90580.87477
## 31 32 33 34 35
## -90615.88067 -90569.86696 -90640.86718 -90558.89489 -90481.80445
## 36 37 38 39 40
## -90515.85033 -90573.80163 -90583.76589 -90645.81107 -90592.81128
## 41 42 43 44 45
## -90618.81718 -90616.79267 -90564.82418 -90549.78479 -90555.81633
## 46 47 48 49 50
## -90593.86274 -90536.82014 -90473.86463 -90517.84353 -90477.82251
## 51 52 53 54 55
## -90519.83622 -90585.77304 -90576.79496 -90592.83116 -90476.82269
## 56 57 58 59 60
## -90100.86387 -90239.86044 -90317.86058 -90465.84047 -90413.84884
## 61 62 63 64 65
## -90543.84184 -90364.85763 -90459.84812 -89927.83954 -90519.83041
## 66 67 68 69 70
## -90308.83125 -90337.82241 -90483.81711 -90484.81435 -90493.81769
## 71 72 73 74 75
## -90502.84256 -90558.93607 -90530.31819 -90496.62525 -90554.87720
## 76 77 78 79 80
## -90556.90976 -90543.02493 -90552.04436 -90578.11835 -90589.13439
## 81 82 83 84 85
## -90557.11459 -90553.10216 -90409.97091 -90071.74261 -90290.81093
## 86 87 88 89 90
## -90373.84070 -90291.87935 -90397.94207 -90393.13190 -90533.05242
## 91 92 93 94 95
## -90464.15259 -90386.75628 -90475.17065 -90498.69494 -90568.96493
## 96 97 98 99 100
## -90614.70702 -90568.72127 -90632.71799 -90585.58407 -90602.18996
## 101 102 103 104 105
## -90520.48665 -90570.41421 -90538.41509 -90504.94852 -90553.06187
## 106 107 108 109 110
## -90549.63334 -90566.13211 -90625.84823 -90624.71543 -90584.21161
## 111 112 113 114 115
## -86072.97831 -81834.77456 -90553.71224 -89505.84866 -81261.81515
## 116 117 118 119 120
## -81129.14577 -80840.38023 -90564.52877 -90543.06921 -86985.04481
## 121 122 123 124 125
## -85942.18362 -89624.40687 -90479.44077 -90462.04174 -90498.21760
## 126 127 128 129 130
## -90490.12758 -90418.17352 -90470.46513 -90547.57881 -90553.30472
## 131 132 133 134 135
## -90546.94227 -90518.10100 -90407.46309 -90457.68003 -90478.94202
## 136 137 138 139 140
## -90516.30548 -90367.49447 -90269.91332 -90237.30065 -90261.17513
## 141 142 143 144 145
## -90297.33128 -90385.32318 -90447.55734 -90405.34831 -90376.35514
## 146 147 148 149 150
## -89970.80997 -90309.46924 -90241.47960 -90369.51755 -90360.29151
## 151 152 153 154 155
## -90277.24856 -90304.56449 -90383.52437 -90252.02448 -90396.41990
## 156 157 158 159 160
## -90320.70479 -90351.92536 -90266.88363 -90350.90365 -89772.61840
## 161 162 163 164 165
## -89906.77798 -89588.52843 -90191.74609 -89888.89538 -89478.98481
## 166 167 168 169 170
## -89685.22538 -89595.30199 -89555.42461 -89750.22270 -89667.12771
## 171 172 173 174 175
## -89665.45258 -89942.11843 -89990.24005 -90097.88100 -90068.75595
## 176 177 178 179 180
## -89996.80101 -90007.67616 -89755.04603 -89490.86293 -89838.05820
## 181 182 183 184 185
## -89617.46178 -90014.67075 -89922.53996 -90066.56661 -89825.32247
## 186 187 188 189 190
## -89562.53848 -88313.13152 -89526.91536 -89904.84839 -90017.89630
## 191 192 193 194 195
## -90127.44198 -89999.79653 -90109.46026 -90030.19772 -90073.72360
## 196 197 198 199 200
## -90085.76909 -89730.46863 -88916.67412 -88595.87606 -89049.67719
## 201 202 203 204 205
## -89140.90593 -88954.19801 -88764.66004 -88905.45723 -88743.98465
## 206 207 208 209 210
## -88916.20737 -89335.92227 -89016.62832 -88978.33476 -88770.97334
## 211 212 213 214 215
## -88737.06804 -88857.00727 -88923.14202 -89083.52046 -88733.84056
## 216 217 218 219 220
## -89187.11196 -88159.61549 -88918.37410 -87741.25618 -88997.98366
## 221 222 223 224 225
## -88988.33304 -89001.10545 -89042.26869 -88504.91120 -89083.00133
## 226 227 228 229 230
## -89207.62843 -89003.58304 -87942.56350 -88164.28735 -88227.41232
## 231 232 233 234 235
## -88015.92648 -87710.46986 -87530.76986 -88505.59264 -87680.40598
## 236 237 238 239 240
## -86815.11155 -85047.05130 -88635.40218 -86343.00997 -88744.91804
## 241 242 243 244 245
## -88932.30403 -87561.07237 -88437.10847 -87993.81505 -88201.28312
## 246 247 248 249 250
## -89155.96333 -88861.77694 -89352.39943 -89163.19129 -89124.97988
## 251 252 253 254 255
## -88622.23412 -88827.90833 -89038.40643 -89223.78882 -89153.51558
## 256 257 258 259 260
## -89177.74823 -89183.82676 -88974.70509 -88843.03599 -88582.13091
## 261 262 263 264 265
## -88041.12192 -88881.34074 -88783.36160 -88689.18716 -87880.73078
## 266 267 268 269 270
## -87324.69610 -87943.61403 -89001.27740 -88851.30822 -88640.26609
## 271 272 273 274 275
## -88671.95513 -88380.24420 -87526.16355 -86390.31323 -87920.63854
## 276 277 278 279 280
## -87474.77882 -86545.76444 -87059.54344 -87933.60553 -88097.73212
## 281 282 283 284 285
## -88229.44004 -87583.57711 -87761.36633 -87162.70086 -88157.20486
## 286 287 288 289 290
## -87558.70471 -87899.47296 -87987.03988 -87704.87331 -87094.53848
## 291 292 293 294 295
## -86779.97887 -87385.15034 -86862.04680 -86743.43885 -85629.87254
## 296 297 298 299 300
## -86431.19349 -86321.76966 -86130.94134 -85855.14942 -85432.91744
## 301 302 303 304 305
## -85335.88817 -84983.27523 -84278.44479 -86263.95871 -86096.69276
## 306 307 308 309 310
## -86382.88199 -85778.56661 -85048.33098 -84622.43957 -84055.39282
## 311 312 313 314 315
## -82831.76677 -82603.33287 -82837.91657 -81781.86515 -82551.90078
## 316 317 318 319 320
## -79887.39432 -79616.51430 -80480.11310 -80699.72576 -79028.50314
## 321 322 323 324 325
## -80185.51232 -77223.01674 -78859.32360 -78615.72721 -79968.99379
## 326 327 328 329 330
## -79668.84384 -79793.64643 -80069.77726 -81669.70884 -79883.84185
## 331 332 333 334 335
## -80939.22727 -80408.66660 -81574.85484 -81294.65309 -79545.50702
## 336 337 338 339 340
## -80580.66122 -81299.45449 -81672.87971 -80670.27017 -83242.16289
## 341 342 343 344 345
## -82884.38320 -81618.83691 -82198.46623 -80683.91948 -82006.49361
## 346 347 348 349 350
## -82681.27821 -83360.37187 -82824.77394 -80699.89581 -83050.30296
## 351 352 353 354 355
## -82062.76137 -82491.02416 -83225.13486 -82338.76997 -82835.86968
## 356 357 358 359 360
## -82235.57534 -82008.15801 -82336.38457 -83040.50991 -82219.16284
## 361 362 363 364 365
## -83789.58065 -83007.37306 -81747.67583 -82874.33429 -83249.47270
## 366 367 368 369 370
## -83098.77159 -83903.51772 -84996.37020 -83125.42094 -83013.23381
## 371 372 373 374 375
## -82360.60194 -83382.12927 -82771.36739 -83720.79208 -84147.39277
## 376 377 378 379 380
## -84277.87467 -83747.51387 -81814.94091 -82743.64868 -83486.60076
## 381 382 383 384 385
## -83921.29902 -83701.37517 -83647.90341 -82750.90095 -81531.71559
## 386 387 388 389 390
## -83444.64545 -83749.26761 -83537.24454 -83981.21832 -83510.32530
## 391 392 393 394 395
## -83369.53672 -83883.70182 -83762.08092 -83862.22795 -83657.30677
## 396 397 398 399 400
## -84681.03392 -85448.57416 -82958.42974 -83261.34207 -83782.79597
## 401 402 403 404 405
## -83837.02856 -84044.71309 -85136.12191 -83794.72302 -84033.82287
## 406 407 408 409 410
## -83221.04765 -83933.90461 -84508.66311 -83620.86232 -84967.07060
## 411 412 413 414 415
## -84522.32538 -84402.85483 -84466.40034 -84804.54205 -84529.79292
## 416 417 418 419 420
## -84742.64944 -85511.36801 -85010.96103 -84330.17428 -82872.01509
## 421 422 423 424 425
## -83340.80112 -84876.15063 -84675.40304 -85268.03609 -85277.57188
## 426 427 428 429 430
## -85354.14726 -84886.80202 -84978.19562 -85376.89494 -85103.17273
## 431 432 433 434 435
## -85619.09552 -85936.59148 -84477.94629 -85155.43352 -85223.78505
## 436 437 438 439 440
## -85064.10594 -85304.78874 -85546.94735 -85496.51892 -85064.92772
## 441 442 443 444 445
## -84981.42616 -84995.31164 -85939.40879 -84851.03194 -85377.24131
## 446 447 448 449 450
## -85955.41873 -85134.85519 -86040.83953 -85781.65162 -86236.50604
## 451 452 453 454 455
## -85692.10357 -85777.44416 -85301.08203 -84987.47817 -85699.51833
## 456 457 458 459 460
## -85644.84783 -86225.21705 -85800.82919 -85343.09170 -85957.94764
## 461 462 463 464 465
## -85769.97004 -85191.86586 -84977.88306 -84686.31371 -84421.10234
## 466 467 468 469 470
## -85029.35095 -85917.17274 -85441.41332 -84959.49780 -84517.35802
## 471 472 473 474 475
## -84403.20194 -85832.22477 -85823.16219 -85575.63595 -85029.78129
## 476 477 478 479 480
## -84847.09722 -84878.54083 -85963.23822 -85742.66788 -86181.57958
## 481 482 483 484 485
## -85801.19596 -86128.53203 -85434.36960 -85325.06569 -85887.40481
## 486 487 488 489 490
## -85445.81957 -86163.92275 -85850.59354 -84997.20238 -84528.11461
## 491 492 493 494 495
## -84114.26207 -84644.57397 -84645.09506 -85334.57514 -85560.37383
## 496 497 498 499 500
## -84729.86090 -83002.22241 -84813.59939 -85155.19840 -85369.85920
## 501 502 503 504 505
## -85275.37331 -85703.40967 -86077.88763 -85542.03187 -85277.39398
## 506 507 508 509 510
## -86077.02398 -85768.62250 -85970.93667 -86326.05252 -85134.81055
## 511 512 513 514 515
## -84669.35313 -85405.23279 -85124.82809 -85299.56981 -86324.82555
## 516 517 518 519 520
## -85728.69033 -85377.30861 -85774.26144 -85998.23416 -85767.24806
## 521 522 523 524 525
## -85930.32029 -85862.60010 -86015.42046 -85610.11094 -85252.51752
## 526 527 528 529 530
## -85295.08710 -84057.54423 -84439.65078 -85197.46944 -84694.18863
## 531 532 533 534 535
## -84970.30248 -84365.24225 -83925.39584 -84367.58079 -84192.50166
## 536 537 538 539 540
## -84247.97664 -84732.91452 -84094.37975 -84280.54055 -84352.28695
## 541 542 543 544 545
## -84126.65635 -84242.79784 -84676.99172 -85696.21444 -84957.65744
## 546 547 548 549 550
## -83751.65740 -83058.66774 -84402.84584 -84662.02039 -85095.08252
## 551 552 553 554 555
## -84596.19776 -84874.47316 -84086.41702 -84509.70235 -83870.96034
## 556 557 558 559 560
## -83985.30513 -83801.22168 -84246.37274 -84879.53355 -83994.88837
## 561 562 563 564 565
## -83990.72198 -83528.85995 -82559.30113 -83342.57794 -83994.20673
## 566 567 568 569 570
## -83005.77086 -81492.02226 -81627.38549 -81428.57146 -84197.84721
## 571 572 573 574 575
## -84476.86638 -85026.19852 -84629.66397 -84535.85024 -83795.90384
## 576 577 578 579 580
## -82998.11067 -84074.50241 -84715.09987 -85189.96502 -84280.75748
## 581 582 583 584 585
## -84290.83572 -84315.87427 -84198.51695 -83342.70588 -85774.31148
## 586 587 588 589 590
## -84394.93734 -84017.19438 -84622.00805 -84374.17631 -84374.81730
## 591 592 593 594 595
## -84519.38787 -85645.98830 -85763.27545 -84878.17288 -83624.76466
## 596 597 598 599 600
## -84108.60033 -84703.34122 -84086.26149 -84160.57150 -84985.55737
## 601 602 603 604 605
## -84345.16325 -84175.79593 -84008.80484 -84414.56210 -84813.31770
## 606 607 608 609 610
## -84651.45196 -84784.85643 -84370.47952 -84334.17712 -83757.42343
## 611 612 613 614 615
## -83471.06443 -84179.38704 -84831.37077 -85430.99279 -84498.32251
## 616 617 618 619 620
## -83251.18838 -83849.08689 -83945.17140 -84292.90164 -84899.45954
## 621 622 623 624 625
## -85083.82703 -84380.51470 -82528.74444 -83134.63082 -82691.16471
## 626 627 628 629 630
## -83935.06118 -82966.19823 -83590.73340 -82427.55557 -83185.81872
## 631 632 633 634 635
## -82408.67091 -83116.93182 -82732.82436 -83819.67345 -84649.37178
## 636 637 638 639 640
## -83890.92991 -83335.81107 -83428.38809 -80912.67138 -83798.28466
## 641 642 643 644 645
## -83581.34490 -83302.15083 -81616.88688 -80813.27642 -81025.71862
## 646 647 648 649 650
## -77012.19429 -76920.59307 -78026.22202 -79870.72112 -72779.17548
## 651 652 653 654 655
## -73313.96126 -73777.79048 -79201.06308 -71934.56246 -72654.95103
## 656 657 658 659 660
## -76254.03782 -62643.43436 -68750.53584 -72899.41892 -74038.61428
## 661 662 663 664 665
## -66522.52071 -55603.85743 -59536.93399 -59381.19354 -67493.61843
## 666 667 668 669 670
## -63557.14035 -64395.00397 -61980.89839 -67721.01732 -64570.40094
## 671 672 673 674 675
## -61112.20915 -61168.55964 -65409.70626 -69984.47332 -63944.78939
## 676 677 678 679 680
## -78221.81079 -57413.41309 -45079.71479 -46648.59517 -75083.33808
## 681 682 683 684 685
## -57806.61285 -67118.20539 -57994.20372 -50315.72663 -58479.93363
## 686 687 688 689 690
## -72786.44440 -34233.99949 -29099.86606 -36065.36385 -47771.23409
## 691 692 693 694 695
## -47147.14005 -51998.02822 -55082.21441 -58798.06296 -64255.79788
## 696 697 698 699 700
## -67475.02749 -68758.28219 -68630.50970 -62327.55145 -60800.35990
## 701 702 703 704 705
## -60180.46822 -64509.31636 -68164.10837 -68410.66539 -71760.70011
## 706 707 708 709 710
## -65900.63621 -68387.01562 -67877.37339 -69396.13607 -67133.23686
## 711 712 713 714 715
## -65447.12174 -70252.54197 -65937.33143 -55978.22894 -59793.91056
## 716 717 718 719 720
## -66768.94002 -66533.94500 -68298.42284 -64722.31360 -59713.05157
## 721 722 723 724 725
## -55923.98345 -58530.26987 -60069.91406 -54314.18005 -56506.57709
## 726 727 728 729 730
## -56243.65222 -58383.95320 -62738.14358 -63780.73609 -60410.10212
## 731 732 733 734 735
## -63970.42205 -55871.76888 -56627.73605 -56730.91601 -49581.22446
## 736 737 738 739 740
## -60560.59840 -57941.74028 -63391.97316 -62159.52376 -57873.21155
## 741 742 743 744 745
## -55757.03463 -61577.73341 -51011.79484 -61243.12950 -62802.26941
## 746 747 748 749 750
## -58051.26391 -56542.53887 -42314.29565 -56683.97317 -38249.95115
## 751 752 753 754 755
## -44748.70259 -50626.84706 -54019.46743 -54192.00737 -55273.50364
## 756 757 758 759 760
## -48708.02693 -53212.97122 -59297.23504 -58843.75961 -57666.28424
## 761 762 763 764 765
## -61621.88522 -58034.78095 -61309.93168 -56961.01204 -57245.72583
## 766 767 768 769 770
## -50506.47850 -50362.96611 -57552.06447 -52896.29747 -51184.27768
## 771 772 773 774 775
## -50034.71261 -48383.52329 -57683.62730 -59974.28491 -59699.18272
## 776 777 778 779 780
## -57523.50281 -52929.82481 -63072.47124 -62116.40958 -55063.92602
## 781 782 783 784 785
## -63916.98108 -62766.78318 -66747.54703 -58378.57926 -58949.76784
## 786 787 788 789 790
## -59909.40684 -60863.01644 -69178.90552 -63191.82830 -61988.71189
## 791 792 793 794 795
## -66988.18241 -58754.67946 -62843.64594 -58418.30156 -67206.72280
## 796 797 798 799 800
## -70519.82853 -66433.26518 -58306.88266 -64508.12553 -58561.23740
## 801 802 803 804 805
## -54809.58000 -58524.33623 -56420.10235 -52980.49058 -55702.39152
## 806 807 808 809 810
## -59935.35565 -63467.50624 -62472.05159 -58070.53741 -63720.60008
## 811 812 813 814 815
## -60176.06687 -56632.43443 -59339.88609 -62917.01200 -65797.88804
## 816 817 818 819 820
## -60727.83615 -50337.76561 -48012.19265 -59109.36600 -58977.22546
## 821 822 823 824 825
## -64143.13756 -69213.37540 -74829.77620 -73170.41693 -69627.39787
## 826 827 828 829 830
## -60374.80551 -63383.84002 -67485.14431 -62130.46285 -67229.93633
## 831 832 833 834 835
## -66838.75848 -58964.70126 -59145.25178 -54676.55972 -58734.59135
## 836 837 838 839 840
## -65988.95027 -64028.46005 -67586.48985 -67225.69888 -64007.49727
## 841 842 843 844 845
## -61239.64323 -53533.68644 -51711.78568 -58621.54962 -57029.87196
## 846 847 848 849 850
## -54248.22304 -54311.46920 -52106.27842 -60275.32074 -58853.74038
## 851 852 853 854 855
## -61472.75731 -54453.47591 -55296.62657 -63545.65705 -53947.67660
## 856 857 858 859 860
## -53776.91279 -61404.47383 -57713.22299 -70574.33661 -69524.89965
## 861 862 863 864 865
## -58805.59373 -57435.80707 -54031.61449 -59051.89944 -58029.79026
## 866 867 868 869 870
## -59127.00004 -54982.74727 -54430.15121 -54461.20864 -48682.31214
## 871 872 873 874 875
## -52156.91121 -58810.00665 -55688.61427 -50142.69957 -41360.94322
## 876 877 878 879 880
## -46429.76782 -55239.59838 -46601.33771 -39948.49448 -54435.96501
## 881 882 883 884 885
## -55070.80107 -62431.50557 -54620.95479 -47423.78758 -44117.95642
## 886 887 888 889 890
## -53088.07872 -45771.50312 -61147.66269 -59318.48242 -51766.49652
## 891 892 893 894 895
## -48901.40519 -42609.77939 -51588.73205 -58162.41639 -50925.68579
## 896 897 898 899 900
## -52560.93974 -47996.77724 -38672.02355 -38441.68271 -45524.35810
## 901 902 903 904 905
## -41764.87068 -46672.19512 -46171.51079 -37581.98729 -43110.95139
## 906 907 908 909 910
## -42091.57400 -35095.31069 -49877.00064 -50820.97723 -47540.57246
## 911 912 913 914 915
## -44607.69816 -45099.76389 -42790.51220 -38958.50061 -35897.29036
## 916 917 918 919 920
## -39141.50758 -39656.39840 -50143.78372 -39795.06002 -32010.62272
## 921 922 923 924 925
## -36925.44576 -30263.86650 -36400.74717 -37979.78752 -48834.28113
## 926 927 928 929 930
## -30180.90158 -30508.97169 -33696.45497 -35035.47131 -33896.58642
## 931 932 933 934 935
## -32931.50148 -32427.25641 -40599.54671 -35938.99682 -40162.20318
## 936 937 938 939 940
## -41966.15357 -41195.27162 -37072.99270 -31900.10401 -35728.30293
## 941 942 943 944 945
## -29477.40277 -33746.03148 -34438.08686 -24494.23607 -28171.57717
## 946 947 948 949 950
## -30706.84258 -28656.74514 -27176.55215 -35867.49012 -37248.98920
## 951 952 953 954 955
## -27713.86879 -34931.20021 -29108.63442 -25163.32437 -36141.11246
## 956 957 958 959 960
## -36498.89611 -18224.93602 -32782.33524 -43533.80838 -35310.42110
## 961 962 963 964 965
## -33950.27730 -29195.70675 -57793.25709 -56658.82314 -48580.93585
## 966 967 968 969 970
## -46064.34320 -46121.39432 -37056.22953 -32133.03384 -39769.76650
## 971 972 973 974 975
## -41366.47216 -43735.56487 -43698.69522 -39823.99242 -32262.26421
## 976 977 978 979 980
## -30965.79417 -34072.07543 -49286.10099 -40650.04861 -30517.19581
## 981 982 983 984 985
## -30205.98682 -27351.48991 -33128.40360 -42870.74182 -31191.89470
## 986 987 988 989 990
## -33722.88608 -29397.12424 -31834.22794 -25629.32261 -34891.98916
## 991 992 993 994 995
## -39354.69538 -36612.07402 -37910.68517 -24485.99603 -35440.85828
## 996 997 998 999 1000
## -45692.61515 -33087.38916 -44917.56809 -49528.66850 -46689.58618
## 1001 1002 1003 1004 1005
## -32338.54594 -29407.36378 -32018.01529 -39284.35757 -50021.21603
## 1006 1007 1008 1009 1010
## -52230.69567 -42330.31440 -46506.31347 -38547.49509 -38116.76146
## 1011 1012 1013 1014 1015
## -41779.30967 -42798.20353 -42883.84844 -39956.36462 -36685.70426
## 1016 1017 1018 1019 1020
## -42982.96234 -26495.18631 -25442.68582 -20084.81614 -28121.66002
## 1021 1022 1023 1024 1025
## -32637.29086 -26996.75527 -29118.49928 -32219.72904 -34724.01623
## 1026 1027 1028 1029 1030
## -41301.48073 -45768.78785 -44777.28943 -39697.78662 -41679.16276
## 1031 1032 1033 1034 1035
## -33988.08112 -38593.00031 -42792.41647 -53392.09257 -41367.60544
## 1036 1037 1038 1039 1040
## -36928.18663 -38952.70636 -36576.58649 -39609.39907 -39707.76528
## 1041 1042 1043 1044 1045
## -43939.38369 -37875.22232 -36090.39384 -37097.25242 -38978.21708
## 1046 1047 1048 1049 1050
## -41315.19379 -45204.25328 -48742.66399 -48156.53398 -43565.77230
## 1051 1052 1053 1054 1055
## -47392.63519 -50115.54010 -43049.72300 -57326.21048 -50165.80596
## 1056 1057 1058 1059 1060
## -47166.96497 -47234.91887 -46293.49183 -40881.51582 -46385.10895
## 1061 1062 1063 1064 1065
## -48743.26365 -54777.36305 -48929.82382 -48529.02822 -47543.07962
## 1066 1067 1068 1069 1070
## -46971.20422 -43419.73684 -56357.37409 -61920.69304 -53555.99140
## 1071 1072 1073 1074 1075
## -53041.11075 -57151.29195 -57265.17026 -55376.50986 -58857.18224
## 1076 1077 1078 1079 1080
## -62019.79615 -52780.23275 -51590.18871 -53428.19784 -49392.16439
## 1081 1082 1083 1084 1085
## -44619.06731 -55076.87601 -58203.06258 -56438.23626 -53818.68787
## 1086 1087 1088 1089 1090
## -52525.51903 -51882.40631 -56218.39871 -59248.47462 -57429.79243
## 1091 1092 1093 1094 1095
## -52869.48289 -54425.21600 -50548.80185 -50406.60938 -55629.19935
## 1096 1097 1098 1099 1100
## -56122.29527 -55724.25652 -51326.05260 -51043.94761 -43759.60828
## 1101 1102 1103 1104 1105
## -42366.77540 -41609.47206 -47494.21442 -50251.04495 -42228.30508
## 1106 1107 1108 1109 1110
## -38895.33355 -35666.87432 -35210.31940 -43518.52104 -41440.14404
## 1111 1112 1113 1114 1115
## -54683.79992 -42912.66914 -40058.31936 -41519.36029 -35067.78847
## 1116 1117 1118 1119 1120
## -22064.53779 -36675.96990 -36830.77028 -21939.87685 -30139.64552
## 1121 1122 1123 1124 1125
## -32963.62838 -26764.99021 -38345.05791 -41723.04589 -49083.69138
## 1126 1127 1128 1129 1130
## -37445.32589 -31475.47893 -29030.24821 -34794.18020 -31288.78233
## 1131 1132 1133 1134 1135
## -46484.99739 -47434.83540 -42810.62438 -41897.43321 -40890.97101
## 1136 1137 1138 1139 1140
## -33035.60314 -32800.39791 -41590.52721 -47145.05637 -35995.39145
## 1141 1142 1143 1144 1145
## -40443.73917 -44568.46512 -41561.08612 -49039.95455 -50370.35059
## 1146 1147 1148 1149 1150
## -40232.16361 -41996.44334 -25978.39238 -33354.80774 -34020.86228
## 1151 1152 1153 1154 1155
## -34816.68839 -41276.21023 -42856.09550 -28429.71135 -31197.16927
## 1156 1157 1158 1159 1160
## -39262.44709 -36218.19799 -46859.36883 -51238.85465 -52636.25092
## 1161 1162 1163 1164 1165
## -46655.07092 -36682.64622 -31528.08441 -33905.36894 -41698.50689
## 1166 1167 1168 1169 1170
## -48109.49958 -50807.41143 -49242.57055 -48654.12176 -43101.09628
## 1171 1172 1173 1174 1175
## -37005.24259 -41972.02428 -44494.88591 -42778.49969 -36690.47131
## 1176 1177 1178 1179 1180
## -38464.84642 -43462.31256 -47486.93681 -34860.64224 -39530.89618
## 1181 1182 1183 1184 1185
## -45462.79289 -34781.53247 -30698.28459 -40638.57741 -32145.39904
## 1186 1187 1188 1189 1190
## -37960.88504 -47754.93169 -51596.91906 -44428.77813 -45790.87562
## 1191 1192 1193 1194 1195
## -47454.75207 -37638.06970 -50408.25484 -56573.60516 -59918.98030
## 1196 1197 1198 1199 1200
## -50818.12655 -45192.07172 -42247.36575 -37562.15645 -39587.34248
## 1201 1202 1203 1204 1205
## -44839.93765 -40952.30535 -42612.65137 -41631.16477 -35787.09540
## 1206 1207 1208 1209 1210
## -32331.60863 -41332.61426 -55242.42758 -51880.00919 -26988.90235
## 1211 1212 1213 1214 1215
## -13915.69857 -26673.88711 -37467.08400 -31918.00331 -37891.29185
## 1216 1217 1218 1219 1220
## -49218.31110 -40367.71917 -29374.59177 -18997.40367 -17049.93505
## 1221 1222 1223 1224 1225
## -27933.54235 -45540.09634 -42406.53905 -40566.04987 -38665.17846
## 1226 1227 1228 1229 1230
## -37110.15639 -32200.99795 -42409.98552 -39203.37888 -59538.63655
## 1231 1232 1233 1234 1235
## -45157.10947 -41870.27498 -43903.18782 -53618.52353 -51045.58145
## 1236 1237 1238 1239 1240
## -54865.26515 -57305.92307 -39199.88359 -38624.56191 -20695.42844
## 1241 1242 1243 1244 1245
## -33283.35079 -37789.59408 -45854.60159 -52059.09038 -50464.25665
## 1246 1247 1248 1249 1250
## -48956.00795 -49904.49311 -57480.50948 -56465.66283 -61551.29268
## 1251 1252 1253 1254 1255
## -58321.81500 -54440.46167 -60555.49953 -67137.07574 -55684.84863
## 1256 1257 1258 1259 1260
## -49587.71372 -59670.40125 -54048.35273 -48086.94693 -50672.85811
## 1261 1262 1263 1264 1265
## -51387.83195 -53570.26653 -56895.68975 -56722.34025 -61847.67904
## 1266 1267 1268 1269 1270
## -57728.00571 -53903.32022 -49023.64250 -53068.49518 -50537.51576
## 1271 1272 1273 1274 1275
## -59500.46688 -62279.36249 -48790.74113 -38149.66445 -45402.88149
## 1276 1277 1278 1279 1280
## -47247.59690 -43944.18562 -56410.97879 -57360.44157 -46685.83339
## 1281 1282 1283 1284 1285
## -43591.39445 -51302.13503 -48191.65498 -49502.22570 -55757.37542
## 1286 1287 1288 1289 1290
## -58177.79637 -52524.11364 -40414.99573 -42764.12947 -38826.04085
## 1291 1292 1293 1294 1295
## -37047.46508 -41767.19981 -48741.62770 -37553.94547 -37534.85270
## 1296 1297 1298 1299 1300
## -41880.77872 -35024.94193 -26935.22517 -40915.37712 -46283.23955
## 1301 1302 1303 1304 1305
## -43665.25056 -40332.92605 -35434.02066 -33287.01883 -34150.63527
## 1306 1307 1308 1309 1310
## -45769.57237 -45417.59731 -29934.83491 -22250.74411 -31582.23070
## 1311 1312 1313 1314 1315
## -32162.09364 -33048.77664 -40839.13375 -47603.88720 -23796.66395
## 1316 1317 1318 1319 1320
## -22704.78265 -34391.30167 -37420.01001 -35191.92975 -41381.07506
## 1321 1322 1323 1324 1325
## -43881.29492 -35193.43589 -29771.66560 -30033.19424 -33285.96500
## 1326 1327 1328 1329 1330
## -34759.17534 -45327.70190 -46328.91699 -39016.20162 -51107.29874
## 1331 1332 1333 1334 1335
## -31517.01058 -33512.01744 -31158.27362 -36875.16231 -45811.48729
## 1336 1337 1338 1339 1340
## -32392.23047 -32072.08128 -35698.97497 -31305.89567 -35073.49951
## 1341 1342 1343 1344 1345
## -48691.04223 -43616.60395 -35452.48358 -37236.45004 -33790.47149
## 1346 1347 1348 1349 1350
## -32944.43731 -35001.21528 -44645.03224 -50743.49073 -35392.47150
## 1351 1352 1353 1354 1355
## -33572.44911 -36079.17441 -31916.00772 -34403.79902 -52757.73123
## 1356 1357 1358 1359 1360
## -48873.23456 -31279.28919 -29897.80433 -34806.58818 -38055.01434
## 1361 1362 1363 1364 1365
## -46266.45564 -49774.25664 -54190.69947 -45074.78529 -25047.31592
## 1366 1367 1368 1369 1370
## -29035.32952 -29849.90797 -28816.11617 -49160.27505 -48450.37224
## 1371 1372 1373 1374 1375
## -35990.52510 -35857.45768 -37099.34016 -41512.36604 -41036.89327
## 1376 1377 1378 1379 1380
## -46829.69771 -49048.08834 -32976.75342 -23472.05360 -31186.68648
## 1381 1382 1383 1384 1385
## -32291.64079 -34999.46202 -45161.86848 -48667.36641 -26820.47144
## 1386 1387 1388 1389 1390
## -31867.02914 -31509.70508 -26532.16986 -36126.21281 -48046.51743
## 1391 1392 1393 1394 1395
## -51507.42127 -37300.84404 -30530.15987 -33908.66227 -30029.25604
## 1396 1397 1398 1399 1400
## -31445.24258 -51015.43958 -47828.09858 -38470.03778 -36880.12260
## 1401 1402 1403 1404 1405
## -33426.09785 -40028.42286 -40734.07171 -54015.68236 -51949.03937
## 1406 1407 1408 1409 1410
## -42366.73175 -38409.63138 -41491.48040 -40141.66055 -44609.76816
## 1411 1412 1413 1414 1415
## -55586.26575 -58557.86380 -46670.30490 -43181.53573 -43026.15713
## 1416 1417 1418 1419 1420
## -40697.34054 -39728.75607 -50303.15446 -49473.42500 -36036.43225
## 1421 1422 1423 1424 1425
## -34009.32087 -40993.23203 -42390.12524 -47138.71365 -53334.39889
## 1426 1427 1428 1429 1430
## -54781.42987 -44404.00683 -39940.99740 -39945.73027 -42712.01327
## 1431 1432 1433 1434 1435
## -41450.25422 -50329.69977 -55685.80554 -35689.33455 -37161.35468
## 1436 1437 1438 1439 1440
## -39592.61798 -43963.58273 -47121.53368 -56272.85041 -54046.47334
## 1441 1442 1443 1444 1445
## -41215.65627 -35564.27013 -37147.96221 -40655.01145 -46220.72547
## 1446 1447 1448 1449 1450
## -52166.38912 -53132.41571 -42688.96149 -33267.12764 -39693.87931
## 1451 1452 1453 1454 1455
## -39093.69614 -41484.21079 -46116.91381 -53514.30464 -41300.02138
## 1456 1457 1458 1459 1460
## -38589.10076 -38421.14903 -38765.31968 -43431.84043 -48342.23424
## 1461 1462 1463 1464 1465
## -52651.29504 -39479.43169 -42752.66185 -37852.15084 -34290.46486
## 1466 1467 1468 1469 1470
## -36614.71148 -49428.99606 -50857.78846 -36870.77854 -31649.18567
## 1471 1472 1473 1474 1475
## -24008.82400 -34741.21000 -36567.72322 -44106.10955 -46999.15561
## 1476 1477 1478 1479 1480
## -29066.90142 -27113.57702 -27908.79898 -23504.14914 -29024.59738
## 1481 1482 1483 1484 1485
## -33858.10166 -41645.13657 -28212.92116 -26717.67368 -27765.19957
## 1486 1487 1488 1489 1490
## -29277.86013 -35333.73595 -45185.66311 -46249.67068 -32691.18311
## 1491 1492 1493 1494 1495
## -30185.73718 -28575.02167 -34526.60160 -34444.90178 -41640.93056
## 1496 1497 1498 1499 1500
## -44406.76749 -31533.78502 -29982.36866 -29861.11295 -31122.93800
## 1501 1502 1503 1504 1505
## -33990.39750 -38603.06202 -41717.19628 -25904.33988 -19852.57432
## 1506 1507 1508 1509 1510
## -29651.56372 -35831.49263 -33635.91924 -40965.75198 -34380.81119
## 1511 1512 1513 1514 1515
## -23240.65880 -14622.28094 -21250.62604 -23579.96436 -30482.14611
## 1516 1517 1518 1519 1520
## -36601.42773 -39601.25089 -26486.50109 -22584.01781 -25597.85894
## 1521 1522 1523 1524 1525
## -21336.62866 -27609.59679 -36974.25215 -37165.30909 -21521.39507
## 1526 1527 1528 1529 1530
## -21647.11769 -20892.87109 -27246.12488 -24143.37718 -31836.95402
## 1531 1532 1533 1534 1535
## -30253.76826 -19829.26983 -18646.68945 -19401.68230 -16542.10456
## 1536 1537 1538 1539 1540
## -18165.72322 -34306.43951 -36019.86934 -22092.96398 -19334.16319
## 1541 1542 1543 1544 1545
## -24428.81946 -25041.90703 -29518.35887 -33809.09183 -36787.84870
## 1546 1547 1548 1549 1550
## -17296.83279 -18568.42511 -19999.68577 -18707.14916 -21086.61440
## 1551 1552 1553 1554 1555
## -26281.92107 -27974.53936 -14815.42693 -10900.82580 -4996.11399
## 1556 1557 1558 1559 1560
## -5923.37197 -12948.84333 -28514.17225 -21072.68998 -8062.78268
## 1561 1562 1563 1564 1565
## -10635.52651 -9190.54785 -4523.04310 -15029.12226 -26284.43445
## 1566 1567 1568 1569 1570
## -27130.09873 -10715.21198 -14078.03533 -5346.50538 -8801.16614
## 1571 1572 1573 1574 1575
## -14327.01628 -27667.98846 -24531.68708 -12122.66879 -12248.32293
## 1576 1577 1578 1579 1580
## -14971.34594 -10099.39426 -16649.94681 -24215.56162 -21377.82270
## 1581 1582 1583 1584 1585
## -13662.24727 -13595.86445 -14452.63346 -14947.64441 -13637.56930
## 1586 1587 1588 1589 1590
## -20702.35551 -14764.46888 -2483.56745 -661.85705 -528.45202
## 1591 1592 1593 1594 1595
## -1353.63807 -8748.30442 -18487.63513 -24850.24325 -8802.57874
## 1596 1597 1598 1599 1600
## -8782.72988 -10157.26971 -14843.90159 -17434.62290 -22570.64139
## 1601 1602 1603 1604 1605
## -19216.20303 -4343.39992 2677.12827 292.63824 -2618.32841
## 1606 1607 1608 1609 1610
## -2427.20010 -11270.63111 -19130.45194 -1984.47549 813.88164
## 1611 1612 1613 1614 1615
## -16142.74436 -30317.13571 -22361.45208 -21471.59928 -22567.19851
## 1616 1617 1618 1619 1620
## -14885.72689 -13062.43349 -20697.46081 -38852.58700 -18857.91320
## 1621 1622 1623 1624 1625
## -15609.22403 -11369.33659 -1474.90469 -9045.74373 -7248.53421
## 1626 1627 1628 1629 1630
## 9838.22514 4847.46965 7573.84716 -6345.94127 2065.96136
## 1631 1632 1633 1634 1635
## 6359.08290 9771.36378 25055.74503 9832.72965 -3995.72892
## 1636 1637 1638 1639 1640
## -12014.81150 3137.00700 3825.48714 1448.70753 -2573.04810
## 1641 1642 1643 1644 1645
## -4108.31556 -13292.70751 -10614.53801 10084.75661 2119.33337
## 1646 1647 1648 1649 1650
## -12392.83242 -5862.74879 -15323.56316 -9779.05304 -16837.27800
## 1651 1652 1653 1654 1655
## -10258.80155 -4439.33832 -5018.53350 -9275.88149 -10182.57903
## 1656 1657 1658 1659 1660
## -10264.55437 -13291.61488 8686.40162 6968.48914 976.63884
## 1661 1662 1663 1664 1665
## -8457.15480 17325.73112 1950.03617 -11666.57299 8034.80003
## 1666 1667 1668 1669 1670
## 6088.30927 9099.54007 -1969.30709 1868.23428 -8990.04103
## 1671 1672 1673 1674 1675
## -11738.10390 5051.03363 8633.66440 9076.69270 4405.21033
## 1676 1677 1678 1679 1680
## 4550.90368 -7190.07998 -8188.82520 7566.90355 13341.81855
## 1681 1682 1683 1684 1685
## 852.92053 3514.84811 -3954.82943 -6056.24215 -10071.62703
## 1686 1687 1688 1689 1690
## 7753.95390 7397.68524 2706.29254 -1019.46754 -1927.86435
## 1691 1692 1693 1694 1695
## -8103.81252 -12762.48107 7388.01805 1890.32308 2321.53708
## 1696 1697 1698 1699 1700
## 9453.83322 6535.01552 -3640.69648 -6093.46374 9023.80171
## 1701 1702 1703 1704 1705
## -3744.60500 744.87709 4669.10883 3186.68936 -9179.46584
## 1706 1707 1708 1709 1710
## -6020.11587 9746.39809 18615.14247 22940.51060 15427.00130
## 1711 1712 1713 1714 1715
## 7732.48781 -7214.73324 -1961.62942 10393.21621 11866.69304
## 1716 1717 1718 1719 1720
## 13973.99903 19983.04957 16422.31442 3110.76270 -9270.48381
## 1721 1722 1723 1724 1725
## 19283.82238 14384.73529 11746.46422 3156.13179 6983.65306
## 1726 1727 1728 1729 1730
## 1764.63675 -4946.38678 20733.28930 16401.70015 15409.78299
## 1731 1732 1733 1734 1735
## 13470.29056 12333.93262 2051.40710 -2985.87095 17700.49194
## 1736 1737 1738 1739 1740
## 17042.27042 21177.51516 16568.22545 3076.83964 -1293.21009
## 1741 1742 1743 1744 1745
## -12018.00663 7382.60132 18835.92531 15132.96836 14685.08747
## 1746 1747 1748 1749 1750
## 12509.69596 -1899.47370 -7221.66586 14683.16475 13452.80787
## 1751 1752 1753 1754 1755
## 12246.48815 5175.98917 8607.06144 -5740.41784 -9302.38007
## 1756 1757 1758 1759 1760
## 2186.82401 11062.09064 10565.97396 1957.39081 6373.85398
## 1761 1762 1763 1764 1765
## -10201.49873 -2515.31988 9552.84059 11886.99695 11604.42110
## 1766 1767 1768 1769 1770
## 14532.21158 27564.82528 31413.45550 2449.12501 32573.12136
## 1771 1772 1773 1774 1775
## 32165.62873 31520.99253 22332.50540 14163.35886 -3433.13320
## 1776 1777 1778 1779 1780
## -12449.68059 12052.64786 25379.43010 35005.92234 24299.50072
## 1781 1782 1783 1784 1785
## 30566.90966 9470.60721 6585.06957 32879.12101 24845.63921
## 1786 1787 1788 1789 1790
## 36123.86793 28042.12739 28266.14331 5248.59661 -74.02864
## 1791 1792 1793 1794 1795
## 22600.74013 28842.80280 16398.05396 14814.78345 19835.59611
## 1796 1797 1798 1799 1800
## 9392.82724 2394.86510 27297.62373 58616.59478 47023.58560
## 1801 1802 1803 1804 1805
## 45017.52079 32621.80508 7496.34647 17852.01640 76561.58899
## 1806 1807 1808 1809 1810
## 93426.49579 104284.56374 93771.86812 95358.67836 88270.69923
## 1811 1812 1813 1814 1815
## 110242.81379 61592.36842 24445.73289 17564.43229 16867.39771
## 1816 1817 1818 1819 1820
## 19430.09842 33196.48225 23595.64433 28004.32123 36487.75107
## 1821 1822 1823 1824 1825
## 34088.75495 12338.46722 12386.43038 2892.47929 -4999.76997
## 1826 1827 1828 1829 1830
## 17306.55600 20350.16092 45353.02976 25170.29268 49832.72841
## 1831 1832 1833 1834 1835
## 49957.17530 6129.09705 22343.59591 35089.72339 36325.68758
## 1836 1837 1838 1839 1840
## 37466.06213 14016.04513 4369.90847 -6347.67935 19829.65201
## 1841 1842 1843 1844 1845
## 17806.66479 20923.28674 20590.49441 14224.10176 -2003.61694
## 1846 1847 1848 1849 1850
## -7279.20863 18196.63913 23100.76764 24122.09418 21999.26006
## 1851 1852 1853 1854 1855
## 17776.17338 9837.12750 -1431.31588 29637.99121 26459.49573
## 1856 1857 1858 1859 1860
## 26935.29192 24278.29110 24328.58850 11125.05719 2037.04969
## 1861 1862 1863 1864 1865
## 31023.73278 34120.19500 53766.44209 32406.31867 7581.02252
## 1866 1867 1868 1869 1870
## 27831.39676 9668.63229 28854.26203 28610.13225 29786.51787
## 1871 1872 1873 1874 1875
## 28296.32191 83348.96520 41214.02607 49658.92556 70377.55690
## 1876 1877 1878 1879 1880
## 66723.06840 71169.19641 163063.43609 65222.74610 18634.05128
## 1881 1882 1883 1884 1885
## 12897.38030 35512.12546 40557.80317 35125.59590 29027.13534
## 1886 1887 1888 1889 1890
## 31687.10234 19195.86517 12313.12240 42046.89276 44126.89207
## 1891 1892 1893 1894 1895
## 43339.34389 37755.53485 43192.15669 23039.54538 6974.73369
## 1896 1897 1898 1899 1900
## 28995.02837 47823.62009 38229.61455 43681.85368 17946.59421
## 1901 1902 1903 1904 1905
## 30267.70726 7831.05790 37666.94693 38091.16720 45070.92893
## 1906 1907 1908 1909 1910
## 56502.38487 46145.33712 38487.03790 22380.75237 46605.80537
## 1911 1912 1913 1914 1915
## 48920.05736 52863.28827 49944.40531 45831.21708 42427.83121
## 1916 1917 1918 1919 1920
## 33494.01332 18650.30250 55657.82577 61922.98481 62554.37746
## 1921 1922 1923 1924 1925
## 67650.18082 56500.67028 53647.32527 72686.83149 85646.04051
## 1926 1927 1928 1929 1930
## 101661.35250 81793.50335 65610.44535 50373.12369 32585.59433
## 1931 1932 1933 1934 1935
## 60063.65450 61917.48775 60636.47927 59317.67969 56917.75923
## 1936 1937 1938 1939 1940
## 52886.66667 45341.44718 60065.00621 58309.53131 67134.76480
## 1941 1942 1943 1944 1945
## 56040.56890 57568.17943 52322.05123 31305.38840 46912.43203
## 1946 1947 1948 1949 1950
## 53936.71612 53410.56090 65565.50069 60959.74555 66236.22208
## 1951 1952 1953 1954 1955
## 30003.44255 82317.99775 78347.17773 83852.83402 64833.22152
## 1956 1957 1958 1959 1960
## 74065.99441 86162.39553 79194.66583 92412.19147 94567.75241
## 1961 1962 1963 1964 1965
## 118939.17753 111081.71639 108537.82548 102406.14074 88056.79753
## 1966 1967 1968 1969 1970
## 129507.13931 121634.41844 118334.74998 114127.00000 111483.73792
## 1971 1972 1973 1974 1975
## 111765.27652 92042.99873 128133.18043 121310.56610 119950.65006
## 1976 1977 1978 1979 1980
## 108714.70816 78903.21329 78554.98719 59575.44601 72538.10211
## 1981 1982 1983 1984 1985
## 84278.73157 75736.25574 54519.53526 23040.45301 48140.70038
## 1986 1987 1988 1989 1990
## 41787.27843 80308.41660 81270.88311 71039.40580 88565.83294
## 1991 1992 1993 1994 1995
## 79658.96638 78335.33331 59632.87186 89505.84422 93481.50400
## 1996 1997 1998 1999 2000
## 87242.76431 82018.93902 83666.38418 92195.52734 104584.96806
## 2001 2002 2003 2004 2005
## 114938.23869 87744.90825 109315.06636 122302.22838 114149.41364
## 2006 2007 2008 2009 2010
## 90335.25916 101198.17472 122149.86320 130313.39208 129295.68848
## 2011 2012 2013 2014 2015
## 125113.52988 124762.51771 95064.86017 76595.22499 122971.31803
## 2016 2017 2018 2019 2020
## 142082.18162 91755.89832 101019.07437 125510.87267 124511.29234
## 2021 2022 2023 2024 2025
## 112277.24894 124962.97176 131590.42675 135688.88102 120990.16145
## 2026 2027 2028 2029 2030
## 102538.79778 84476.89074 85586.40977 119818.53113 115255.31046
## 2031 2032 2033 2034 2035
## 126140.18466 111838.00451 116292.54284 114194.76849 104951.32978
## 2036 2037 2038 2039 2040
## 136163.86647 143445.65958 123838.45706 115292.16191 102771.13597
## 2041 2042 2043 2044 2045
## 81020.24186 132453.01939 163982.80756 176000.15433 169157.63264
## 2046 2047 2048 2049 2050
## 120934.85910 106699.35849 134836.49941 61473.61210 82950.32246
## 2051 2052 2053 2054 2055
## 99999.19481 89981.50434 88198.27393 89122.89494 67612.07865
## 2056 2057 2058 2059 2060
## 49171.89010 90692.05966 101696.82951 111292.82522 107492.91307
## 2061 2062 2063 2064 2065
## 105437.69913 77034.68764 77589.72804 98627.58257 104564.81404
## 2066 2067 2068 2069 2070
## 86107.04443 89387.03307 71622.56871 58330.10648 59500.15302
## 2071 2072 2073 2074 2075
## 95140.84189 96609.70857 100340.21662 105767.34588 111336.79640
## 2076 2077 2078 2079 2080
## 82816.44112 77701.20755 108122.33954 115346.74293 118477.65708
## 2081 2082 2083 2084 2085
## 117704.02490 113363.10897 95703.79443 86142.80615 129256.88792
## 2086 2087 2088 2089 2090
## 139313.79801 122616.00034 126999.18633 111186.00247 80964.06997
## 2091 2092 2093 2094 2095
## 91416.27817 119355.91957 125408.79466 115479.85402 111350.30232
## 2096 2097 2098 2099 2100
## 109429.12004 83591.61419 81326.50460 115709.72090 148676.69056
## 2101 2102 2103 2104 2105
## 137497.94264 146417.65864 160131.61813 114206.30057 90012.87736
## 2106 2107 2108 2109 2110
## 122365.17510 134147.91395 132379.14901 128318.64852 131747.23402
## 2111 2112 2113 2114 2115
## 100400.07502 87292.72873 124630.26391 144042.00611 132833.95816
## 2116 2117 2118 2119 2120
## 126891.24928 130505.94244 109680.87418 98511.63645 138161.66285
## 2121 2122 2123 2124 2125
## 137102.30229 133516.75814 117793.80460 108212.63466 90227.46333
## 2126 2127 2128 2129 2130
## 83194.09385 121609.84112 145252.99660 146488.66089 118660.35537
## 2131 2132 2133 2134 2135
## 113101.33584 90190.39441 74989.23779 107108.53497 110760.05925
## 2136 2137 2138 2139 2140
## 130014.84472 126751.28882 129901.69388 91491.93343 84497.59626
## 2141 2142 2143 2144 2145
## 115588.27835 125755.73834 125071.68865 131536.00759 123676.17408
## 2146 2147 2148 2149 2150
## 108283.12136 103976.20498 143555.03927 138984.77187 150731.23524
## 2151 2152 2153 2154 2155
## 157812.58511 144376.09526 125323.40511 107711.61661 139302.22763
## 2156 2157 2158 2159 2160
## 140717.41796 129001.86189 137460.13445 131798.92385 101596.86032
## 2161 2162 2163 2164 2165
## 76470.64303 111420.40958 107093.55020 119606.20387 126366.84230
## 2166 2167 2168 2169 2170
## 98848.36728 91790.06724 69815.50759 106765.14421 108158.86567
## 2171 2172 2173 2174 2175
## 107935.98117 109657.49282 104389.50198 79303.31305 56893.70426
## 2176 2177 2178 2179 2180
## 112225.40113 112897.91296 110298.83313 111575.64332 109597.57206
## 2181 2182 2183 2184 2185
## 75761.97231 64239.51613 115837.59464 115375.50421 120541.60434
## 2186 2187 2188 2189 2190
## 111000.34159 114976.81145 89640.26145 77564.49545 133515.39142
## 2191 2192 2193 2194 2195
## 131609.24570 129451.65558 128746.29824 125260.80722 93298.64048
## 2196 2197 2198 2199 2200
## 86599.75638 119750.58355 146699.25744 138813.61401 128033.26184
## 2201 2202 2203 2204 2205
## 125030.46422 92113.90855 88139.03425 131039.67874 127264.10248
## 2206 2207 2208 2209 2210
## 140200.10639 149760.38177 128373.86547 109537.50998 95677.20003
## 2211 2212 2213 2214 2215
## 98662.19737 150156.84772 133845.61828 135355.53617 141756.28518
## 2216 2217 2218 2219 2220
## 103794.57748 80452.33460 123799.34686 134342.60103 130510.33058
## 2221 2222 2223 2224 2225
## 129514.42559 122200.40799 86775.77419 70160.00461 120859.35665
## 2226 2227 2228 2229 2230
## 147583.17940 121073.81255 133138.13570 121523.13260 77719.92817
## 2231 2232 2233 2234 2235
## 77897.17177 122471.04717 126552.97313 145076.36768 121063.27796
## 2236 2237 2238 2239 2240
## 114726.22328 87256.08410 74410.10413 103202.24242 134372.33742
## 2241 2242 2243 2244 2245
## 126579.86960 128314.51029 105955.86631 110331.73217 86541.76033
## 2246 2247 2248 2249 2250
## 118452.12804 139212.58787 134403.84716 126269.33896 118337.06588
## 2251 2252 2253 2254 2255
## 103690.97663 90642.42954 125618.39891 135182.03684 129921.45329
## 2256 2257 2258 2259 2260
## 137619.91801 145825.12072 108528.99088 87397.04939 153416.16211
## 2261 2262 2263 2264 2265
## 159338.85135 161460.37070 169184.56348 160933.73453 145137.06862
## 2266 2267 2268 2269 2270
## 105066.58870 117511.43429 157602.65251 127449.65094 123661.43351
## 2271 2272 2273 2274 2275
## 133501.57504 104220.78638 91774.29664 131139.30050 145417.67275
## 2276 2277 2278 2279 2280
## 93217.04103 164637.10881 159608.67715 110732.64078 85255.94602
## 2281 2282 2283 2284 2285
## 120724.91792 130455.44744 116503.90044 219110.19206 143526.68935
## 2286 2287 2288 2289 2290
## 121410.02652 99884.38019 133817.81577 137985.67333 160030.42678
## 2291 2292 2293 2294 2295
## 163495.85607 140315.41148 130193.34135 118219.00746 166944.18880
## 2296 2297 2298 2299 2300
## 188465.20700 161934.04488 163774.56223 146847.67384 121288.16692
## 2301 2302 2303 2304 2305
## 112584.98720 163067.58505 172784.99456 181885.22805 168828.99315
## 2306 2307 2308 2309 2310
## 167293.40762 140899.11569 134988.05511 177322.91021 176984.27806
## 2311 2312 2313 2314 2315
## 168311.94579 220018.49194 206983.56877 169306.00667 129431.71616
## 2316 2317 2318 2319 2320
## 190487.40558 181630.26393 184437.44996 131149.63169 206332.41333
## 2321 2322 2323 2324 2325
## 178977.72770 136379.53160 169050.38573 210834.28547 201791.54491
## 2326 2327 2328 2329 2330
## 173567.96512 159605.31489 140918.24704 120797.91065 159413.65785
## 2331 2332 2333 2334 2335
## 182462.51641 177070.30199 173315.41934 169934.15237 128551.30269
## 2336 2337 2338 2339 2340
## 126274.61528 172430.65868 186814.66094 215292.55577 203137.35729
## 2341 2342 2343 2344 2345
## 192231.19986 127820.78469 84732.13446 131353.62256 183423.62260
## 2346 2347 2348 2349 2350
## 190940.75248 189635.16692 172052.16264 135530.80084 65759.91785
## 2351 2352 2353 2354 2355
## 175449.89325 186095.06400 210416.21292 172074.94065 233276.86094
## 2356 2357 2358 2359 2360
## 170492.01920 148223.15173 160243.83246 212696.08408 193252.35531
## 2361 2362 2363 2364 2365
## 187468.29229 164666.82070 134490.34246 128032.43654 157848.04642
## 2366 2367 2368 2369 2370
## 180935.08548 186106.36111 188578.94614 185865.98299 150216.66136
## 2371 2372 2373 2374 2375
## 123430.82002 122049.24959 165063.61597 192109.55655 201030.82780
## 2376 2377 2378 2379 2380
## 150793.99612 133779.85971 128928.27315 134704.28900 194520.02866
## 2381 2382 2383 2384 2385
## 236549.72718 144863.16073 207900.08414 168874.28434 176174.89642
## 2386 2387 2388 2389 2390
## 114249.89091 208827.22185 191799.73211 230898.55333 187447.49288
## 2391 2392 2393 2394 2395
## 147575.34655 123946.26338 174385.98901 200448.14950 180294.37848
## 2396 2397 2398 2399 2400
## 168372.87153 204338.15811 170155.76611 135834.67184 166197.50357
## 2401 2402 2403 2404 2405
## 161526.28539 164508.57580 206932.80412 223484.50857 206993.30705
## 2406 2407 2408 2409 2410
## 145519.87875 164445.10090 205563.83931 195582.92449 207802.61928
## 2411 2412 2413 2414 2415
## 215165.04505 143903.19243 158850.30792 165651.78243 206994.57655
## 2416 2417 2418 2419 2420
## 177837.59452 184765.98065 189376.70565 163566.00979 102329.16170
## 2421 2422 2423 2424 2425
## 153629.39244 190923.49182 172225.93802 207501.62897 175297.42407
## 2426 2427 2428 2429 2430
## 149139.65403 155724.89569 163850.98583 173318.16640 202448.19097
## 2431 2432 2433 2434 2435
## 173396.60285 176808.59991 132532.38735 107289.35665 119429.40769
## 2436 2437 2438 2439 2440
## 178913.67816 168715.47490 172890.17814 143638.49869 139404.01401
## 2441 2442 2443 2444 2445
## 127189.07392 169108.16743 136701.80011 197851.24871 170434.93996
## 2446 2447 2448 2449 2450
## 175480.09153 107084.27926 117749.52841 152559.69036 187561.61906
## 2451 2452 2453 2454 2455
## 157585.19262 109182.01590 170831.89293 151531.83619 93055.72008
## 2456 2457 2458 2459 2460
## 126391.56510 183235.45277 190626.87773 147714.57531 209383.04827
## 2461 2462 2463 2464 2465
## 148079.81928 123997.95373 101435.42212 203955.72246 212436.55465
## 2466 2467 2468 2469 2470
## 174995.38461 182289.25774 217859.36516 158134.65536 169875.66748
## 2471 2472 2473 2474 2475
## 207200.06664 168213.69262 225566.84373 137965.25122 233929.10829
## 2476 2477 2478 2479 2480
## 186546.35407 233986.29376 199348.84843 177450.95063 157336.23344
## 2481 2482 2483 2484 2485
## 182554.24355 195752.16096 233382.26059 197213.83366 101386.92509
## 2486 2487 2488 2489 2490
## 182272.67263 153626.95562 182045.45358 212759.31813 184208.99799
## 2491 2492 2493 2494 2495
## 182796.51357 220555.43340 185856.72863 191878.75283 181660.08241
## 2496 2497 2498 2499 2500
## 187593.65499 160532.72616 179732.64665 204830.09170 176516.44654
## 2501 2502 2503 2504 2505
## 169150.16696 124216.89748 154456.55701 114952.80660 134704.63771
## 2506 2507 2508 2509 2510
## 133866.60496 179154.22459 145910.20944 118583.83841 92836.60263
## 2511 2512 2513 2514 2515
## 60701.14726 109178.33561 133897.76285 133403.66919 147313.80851
## 2516 2517 2518 2519 2520
## 122868.87381 89451.58967 62049.63684 120679.12717 114505.49813
## 2521 2522 2523 2524 2525
## 127504.68965 117164.72758 103263.65732 73205.94261 28109.40957
## 2526 2527 2528 2529 2530
## 112583.42672 113251.75502 130527.45789 82656.66024 118747.69952
## 2531 2532 2533 2534 2535
## 74593.04094 49606.31025 104925.26699 105121.75330 85694.08904
## 2536 2537 2538 2539 2540
## 71250.91949 91757.49877 70691.51291 37270.32001 103907.83464
## 2541 2542 2543 2544 2545
## 120503.98223 111476.03280 101574.01415 87543.13911 85726.48325
## 2546 2547 2548 2549 2550
## 70461.51940 95393.48087 121067.10086 112430.07244 79082.22082
## 2551 2552 2553 2554 2555
## 109852.55763 64438.77564 20206.80610 77573.28210 85991.26806
## 2556 2557 2558 2559 2560
## 83706.63735 69569.05320 89573.82723 55610.84481 27422.22153
## 2561 2562 2563 2564 2565
## 72586.22866 -23994.06166 55187.13157 55706.27629 76250.58309
## 2566 2567 2568 2569 2570
## 70406.99187 29343.07001 73829.97760 96089.19264 85497.79668
## 2571 2572 2573 2574 2575
## 80579.82801 103779.50668 72235.49186 68598.61347 55077.80706
## 2576 2577 2578 2579 2580
## 111114.63795 75615.42756 143698.49864 116359.86742 72491.71702
## 2581 2582 2583 2584 2585
## 16180.94192 48430.08864 13561.96814 125444.98790 15816.39767
## 2586 2587 2588 2589 2590
## 13701.60335 32812.61131 65986.57376 30213.27698 81098.74261
## 2591 2592 2593 2594 2595
## 69421.94620 74837.02368 71777.60733 31120.32129 -8870.34875
## 2596 2597 2598 2599 2600
## 73681.09136 85732.94467 76926.68079 58746.94791 82930.68229
## 2601 2602 2603 2604 2605
## 25236.01296 4820.15446 68524.01525 69869.18194 85332.90023
## 2606 2607 2608 2609 2610
## 95652.41437 127213.62947 57689.56885 34189.26632 37340.20114
## 2611 2612 2613 2614 2615
## 101561.40849 52707.66147 76846.41569 53327.29049 25287.58932
## 2616 2617 2618 2619 2620
## 9326.27202 42942.42290 79606.19516 69045.69495 84148.52409
## 2621 2622 2623 2624 2625
## 63888.64922 15285.84976 6731.24241 93249.64628 84893.59740
## 2626 2627 2628 2629 2630
## 35609.41372 77994.33125 87433.47728 36675.16466 38146.04628
## 2631 2632 2633 2634 2635
## 92630.27292 94711.84699 84867.40353 74198.31321 76140.17386
## 2636 2637 2638 2639 2640
## 60165.11015 45471.12896 74205.23402 100283.92199 106020.61091
## 2641 2642 2643 2644 2645
## 122188.90332 80040.18035 70678.30914 53845.69401 80213.11943
## 2646 2647 2648 2649 2650
## 113953.23678 96095.01467 56550.53687 1452.44829 -1265.19006
## 2651 2652 2653 2654 2655
## 102899.11377 75269.06215 40037.88815 89886.16586 86168.46491
## 2656 2657 2658 2659 2660
## 1177.45967 17245.99255 -33945.60831 -3168.86103 64393.00940
## 2661 2662 2663 2664 2665
## 22928.87923 74553.07903 12896.70076 -52289.81190 -42554.62558
## 2666 2667 2668 2669 2670
## 78214.11549 37728.35500 70240.08965 43423.36528 23051.74269
## 2671 2672 2673 2674 2675
## -6075.91786 -22325.48885 41128.44785 75816.20151 10498.74484
## 2676 2677 2678 2679 2680
## 51851.59060 9779.00386 36496.16389 14668.07773 49770.74412
## 2681 2682 2683 2684 2685
## 25259.26509 33055.73297 42737.45177 55149.42013 -47524.20138
## 2686 2687 2688 2689 2690
## -24004.89623 15530.75779 6004.28748 22384.29319 -118690.30991
## 2691 2692 2693 2694 2695
## -130778.64456 -98221.40374 -158896.17610 -179843.87936 -136837.35407
## 2696 2697 2698 2699 2700
## -101934.70150 -48932.23906 -151720.19175 -184298.10363 -186819.96106
## 2701 2702 2703 2704 2705
## -168568.72976 -181709.56725 -139405.44887 -141977.20114 -6198.23445
## 2706 2707 2708 2709 2710
## -130787.09677 -80954.49365 -153049.77864 -172486.51882 -110731.22321
## 2711 2712 2713 2714 2715
## -83530.00056 -77066.35883 -32676.54741 -92253.68845 -155907.77099
## 2716 2717 2718 2719 2720
## -66990.76791 -52765.73236 -16003.98861 -139947.58031 -137565.85807
## 2721 2722 2723 2724 2725
## -136988.82491 -125315.11414 -117493.24869 -85345.76502 -71095.07134
## 2726 2727 2728 2729 2730
## -110634.45660 -152523.91392 -158780.37107 -132419.97570 -38476.91892
## 2731 2732 2733 2734 2735
## 10817.75545 -27407.68405 -70015.06632 -122547.40280 -136431.93220
## 2736 2737 2738 2739 2740
## -99822.44990 -49613.30352 -79905.31533 -96465.16143 -117587.01797
## 2741 2742 2743 2744 2745
## -173857.91655 -152440.63008 -118085.94100 -99132.96981 -119333.94069
## 2746 2747 2748 2749 2750
## -51085.28053 -35168.58919 -95656.08331 -93742.99583 -20743.48859
## 2751 2752 2753 2754 2755
## 22907.59933 -38576.98269 -67064.61373 -82523.86400 -114314.36361
## 2756 2757 2758 2759 2760
## -128222.59883 -110173.43242 -107038.16541 -115394.55886 -140681.99487
## 2761 2762 2763 2764 2765
## -161736.04149 -196544.25430 -206533.07189 -187741.87527 -191742.49637
## 2766 2767 2768 2769 2770
## -158490.48729 -171642.67471 -156924.68189 -174043.70975 -161805.11265
## 2771 2772 2773 2774 2775
## -137326.58666 -116657.06171 -141489.06263 -109666.12954 -158328.23702
## 2776 2777 2778 2779 2780
## -186477.12588 -201585.99052 -179904.87885 -154525.19532 -130228.80105
## 2781 2782 2783 2784 2785
## -122876.00144 -88477.74291 -138555.46603 -126873.27668 -109610.40529
## 2786 2787 2788 2789 2790
## -88383.90602 -90073.22205 -50861.59037 -82432.19925 -102209.57247
## 2791 2792 2793 2794 2795
## -88357.81393 -95614.48586 -86802.24544 -104044.07900 -110198.63292
## 2796 2797 2798 2799 2800
## -116545.20135 -147532.43608 -155079.34509 -98768.86948 -93204.32238
## 2801 2802 2803 2804 2805
## -100490.65888 -62518.82221 -52538.90783 -95836.17036 -92877.11456
## 2806 2807 2808 2809 2810
## -71412.87205 -51456.61286 -59280.19530 -59602.80715 -68873.30739
## 2811 2812 2813 2814 2815
## -91572.56496 -108131.47220 -76744.10596 -66293.13251 -71683.94135
## 2816 2817 2818 2819 2820
## -53954.83597 -65551.93957 -124123.36303 -129237.43527 -99984.16225
## 2821 2822 2823 2824 2825
## -91390.48706 -89797.48037 -82717.42055 -93926.19684 -117891.30577
## 2826 2827 2828 2829 2830
## -140158.77627 -84134.10653 -70190.07341 -101308.79239 -91698.81214
## 2831 2832 2833 2834 2835
## -111952.04755 -110502.49326 -136750.99495 -101665.21216 -106784.32708
## 2836 2837 2838 2839 2840
## -96486.00469 -84237.30380 -100160.75636 -124254.49346 -154405.45181
## 2841 2842 2843 2844 2845
## -110947.02548 -94030.68213 -98678.75795 -98585.27118 -77002.52201
## 2846 2847 2848 2849 2850
## -104902.80054 -126244.28426 -68488.40454 -67561.52695 -67244.84781
## 2851 2852 2853 2854 2855
## -89050.45344 -58070.81223 -104417.37381 -120971.05830 -85379.66862
## 2856 2857 2858 2859 2860
## -80042.64725 -47570.84070 -56533.25055 -60998.95429 -98669.21683
## 2861 2862 2863 2864 2865
## -108689.55687 -66791.97453 -49801.18333 -52802.48917 -49558.14414
## 2866 2867 2868 2869 2870
## -57520.43403 -96305.47890 -109792.96967 -60023.47346 -57083.77476
## 2871 2872 2873 2874 2875
## -67584.74101 -66120.05758 -71547.19834 -103017.43529 -76003.54717
## 2876 2877 2878 2879 2880
## -33133.31835 -29355.13423 -15681.00888 -23963.53626 -29703.00455
## 2881 2882 2883 2884 2885
## -73067.44690 -89873.87223 -40413.53127 -51685.70138 -44620.04833
## 2886 2887 2888 2889 2890
## -54054.03802 -34139.24637 -72265.59221 -71371.75738 -32261.48501
## 2891 2892 2893 2894 2895
## -35706.11082 -43095.25999 -45815.10665 -25388.72446 -58915.89320
## 2896 2897 2898 2899 2900
## -78427.35264 -46706.20298 -35567.44501 -44073.18254 -50392.47006
## 2901 2902 2903 2904 2905
## -48268.31984 -81737.83674 -98439.67799 -47712.57340 -29797.99400
## 2906 2907 2908 2909 2910
## -41127.20610 -32237.67686 -25996.05618 -56907.97569 -76322.28403
## 2911 2912 2913 2914 2915
## -35606.15633 -20546.39487 -31940.10937 -44833.78991 -53451.58696
## 2916 2917 2918 2919 2920
## -90930.92794 -110771.35968 -52515.52645 -35380.79981 -49023.68609
## 2921 2922 2923 2924 2925
## -66120.40770 -62643.29386 -104605.97858 -119934.22071 -56376.08828
## 2926 2927 2928 2929 2930
## -40143.62581 -29917.13661 -44030.90950 -25667.03144 -61146.79655
## 2931 2932 2933 2934 2935
## -73317.87304 -29007.33472 -9931.37420 9562.33872 -9654.96281
## 2936 2937 2938 2939 2940
## -2071.61692 -28384.95159 -64463.93803 -9682.24707 25335.71407
## 2941 2942 2943 2944 2945
## 7805.96285 -1055.21373 -5767.04474 -52032.21812 -76902.04212
## 2946 2947 2948 2949 2950
## -28994.45373 -24704.50394 -19314.79654 -24109.26729 -31366.03987
## 2951 2952 2953 2954 2955
## -55248.59141 -76873.79656 -29221.81795 -23637.27147 -23436.45545
## 2956 2957 2958 2959 2960
## -26702.72404 -26781.01665 -49894.48146 -78630.40132 -44139.96426
## 2961 2962 2963 2964 2965
## -38199.83833 -16055.92794 12292.07554 -12996.50367 -26753.60603
## 2966 2967 2968 2969 2970
## -40129.53159 -9232.29183 4410.27955 3872.19334 -1512.78959
## 2971 2972 2973 2974 2975
## -14758.58540 -29380.56711 -65704.83568 -2399.32024 5182.86217
## 2976 2977 2978 2979 2980
## 10075.88634 11727.00841 23351.78336 -25159.75199 -51947.36038
## 2981 2982 2983 2984 2985
## -12489.45427 9826.69230 -630.82900 4702.62819 4534.38745
## 2986 2987 2988 2989 2990
## -26992.67520 -41818.83308 -3211.33826 739.25480 267.15494
## 2991 2992 2993 2994 2995
## -3695.62677 -889.87357 -31438.20011 -26824.32219 739.55374
## 2996 2997 2998 2999 3000
## -11113.05602 -472.35261 25754.24203 4801.13288 -30280.56612
## 3001 3002 3003 3004 3005
## -44335.49320 20560.38733 11793.83223 12738.69931 5593.73850
## 3006 3007 3008 3009 3010
## 9295.69185 -16625.72464 -36015.84778 9108.79535 7846.21553
## 3011 3012 3013 3014 3015
## 7979.30286 12137.25426 10666.12269 -9225.32352 -22696.80964
## 3016 3017 3018 3019 3020
## 29466.52632 44645.64347 50079.35354 43659.06346 52659.02361
## 3021 3022 3023 3024 3025
## 9882.95331 -15630.32062 53901.43923 43208.18194 47615.71021
## 3026 3027 3028 3029 3030
## 33128.84133 40280.95426 8918.74341 5187.37748 58454.00905
## 3031 3032 3033 3034 3035
## 37862.09533 59217.27272 75130.46435 64105.97654 52775.76424
## 3036 3037 3038 3039 3040
## 27385.89660 64278.07737 100822.27601 69831.36507 88258.22030
## 3041 3042 3043 3044 3045
## 104574.04354 71955.58827 72703.74567 85836.34932 107489.67420
## 3046 3047 3048 3049 3050
## 77807.70468 65511.87721 66394.08454 52880.24781 34602.34013
## 3051 3052 3053 3054 3055
## 59098.74174 86755.30104 72801.63899 103090.24341 87403.99340
## 3056 3057 3058 3059 3060
## 62635.05292 72192.13610 92324.87463 84552.76753 91901.20535
## 3061 3062 3063 3064 3065
## 102088.37518 113470.25906 98903.34122 61284.69856 129246.68623
## 3066 3067 3068 3069 3070
## 91541.88552 119307.08708 98949.61822 89092.67948 62216.64113
## 3071 3072 3073 3074 3075
## 56538.73212 76640.36676 81578.51760 92237.38362 118321.17384
## 3076 3077 3078 3079 3080
## 130376.76201 82631.77897 88632.79008 80177.46796 57143.32599
## 3081 3082 3083 3084 3085
## 90299.76039 112880.19261 100849.08835 81545.47249 74367.01225
## 3086 3087 3088 3089 3090
## 96908.00318 132272.54093 129785.54901 145984.77039 130867.68307
## 3091 3092 3093 3094 3095
## 106318.62758 105612.24709 154175.10810 127550.68364 132744.62871
## 3096 3097 3098 3099 3100
## 123991.62512 132121.20244 106789.87446 119565.14748 140652.28102
## 3101 3102 3103 3104 3105
## 120724.43193 119010.89020 134256.95787 126307.72091 112561.75514
## 3106 3107 3108 3109 3110
## 102474.51586 136835.42693 155508.15696 151064.54316 183826.03684
## 3111 3112 3113 3114 3115
## 168442.21116 150463.23073 129068.52883 164764.35395 183038.00321
## 3116 3117 3118 3119 3120
## 180011.02118 182735.85908 162074.83779 133262.98739 122571.76822
## 3121 3122 3123 3124 3125
## 136330.20340 93045.14256 174962.68955 178042.55396 119604.74768
## 3126 3127 3128 3129 3130
## 154339.12001 150214.28939 161455.83436 163376.64361 128394.33562
## 3131 3132 3133 3134 3135
## 109724.57791 159431.37269 139821.16807 132045.69803 153909.32065
## 3136 3137 3138 3139 3140
## 182218.67903 163467.39390 188077.11074 174657.70690 155500.25053
## 3141 3142 3143 3144 3145
## 173951.30434 127366.07102 106610.74577 97803.98198 100543.98723
## 3146 3147 3148 3149 3150
## 101900.61436 54950.25804 28994.09375 111941.93939 102762.79813
## 3151 3152 3153 3154 3155
## 103355.25015 117303.20126 113567.97429 75943.10267 42422.88968
## 3156 3157 3158 3159 3160
## 105122.65316 118195.56280 118434.27897 114224.56964 112290.14353
## 3161 3162 3163 3164 3165
## 65057.73905 40852.58156 137494.89271 183630.00512 197244.60377
## 3166 3167 3168 3169 3170
## 208584.14090 182376.15569 189398.60101 193123.70633 179145.11394
## 3171 3172 3173 3174 3175
## 195029.78166 145415.46731 139283.49733 164634.91222 137815.30427
## 3176 3177 3178 3179 3180
## 130608.14531 150104.50083 122792.36373 171482.98899 185159.01232
## 3181 3182 3183 3184 3185
## 163406.00934 155522.62793 127203.53266 169763.54610 147450.91688
## 3186 3187 3188 3189 3190
## 135604.36705 168874.14952 146755.74196 102151.34412 174040.72316
## 3191 3192 3193 3194 3195
## 123653.86739 86892.82418 182505.60777 161843.44439 164301.31414
## 3196 3197 3198 3199 3200
## 142902.59405 170511.16358 150478.34942 131892.94683 222362.72269
## 3201 3202 3203 3204 3205
## 233903.52899 156159.73371 128043.34391 99138.87209 147646.65693
## 3206 3207 3208 3209 3210
## 92261.01280 160114.60745 119659.80696 74552.61355 82217.67600
## 3211 3212 3213 3214 3215
## 66973.75168 109666.61756 65371.05845 70527.76687 73784.01225
## 3216 3217 3218 3219 3220
## 84547.74045 77870.96920 59344.54120 102453.44679 92935.81206
## 3221 3222 3223 3224 3225
## 109017.44751 114682.41216 95656.31804 60086.88982 90106.10809
## 3226 3227 3228 3229 3230
## 89217.81744 87391.30217 101678.40355 71751.95563 6677.63634
## 3231 3232 3233 3234 3235
## 34480.14846 1247.41501 -822.65409 100866.04119 96473.49025
## 3236 3237 3238 3239 3240
## 102447.57397 84166.62913 25166.48974 31828.75721 81935.41907
## 3241 3242 3243 3244 3245
## 70435.46506 54245.15924 84114.20708 72265.23632 26812.63752
## 3246 3247 3248 3249 3250
## -19344.68649 1786.20788 74780.97224 79361.91479 5704.64129
## 3251 3252 3253 3254 3255
## 2265.51853 -10170.40064 18336.18905 14764.32227 -23940.25693
## 3256 3257 3258 3259 3260
## -19939.58005 -18742.06147 3905.87487 -43877.93536 -42236.00225
## 3261 3262 3263 3264 3265
## -7721.19204 34856.55985 34978.55253 16930.43950 31806.59627
## 3266 3267 3268 3269 3270
## -16269.82453 -39824.38639 14407.02930 -23432.78995 -83412.84840
## 3271 3272 3273 3274 3275
## -46424.02949 -24759.47963 -53999.94313 -28392.23190 18051.15343
## 3276 3277 3278 3279 3280
## 34808.20076 32379.67653 2970.60547 -15896.16683 1298.54925
## 3281 3282 3283 3284 3285
## -48445.96504 -16276.84550 297.35603 -15116.78320 9949.38001
## 3286 3287 3288 3289 3290
## 9519.11852 -35715.45704 -36420.73543 24237.29474 25395.97094
## 3291 3292 3293 3294 3295
## 44386.74395 11099.55433 8330.33989 -26339.99918 -55031.67854
## 3296 3297 3298 3299 3300
## -48404.84846 -12911.65328 -17735.27232 -57374.51478 -48762.43012
## 3301 3302 3303 3304 3305
## -71215.49031 -97602.56973 -71084.36405 19070.70159 27963.82107
## 3306 3307 3308 3309 3310
## 38777.05435 4536.62133 -24165.14636 -40441.70845 -3526.84249
## 3311 3312 3313 3314 3315
## -3197.58290 -11099.91154 -1956.96870 11392.24423 -16518.73244
## 3316 3317 3318 3319 3320
## -38727.10439 -19983.31835 -727.90622 15418.50821 38695.13115
## 3321 3322 3323 3324 3325
## 38193.39117 34666.99263 -24527.87440 5197.31667 29581.72329
## 3326 3327 3328 3329 3330
## -15232.79386 6891.42502 13563.90529 -25848.85285 -57605.45690
## 3331 3332 3333 3334 3335
## -22509.75386 2747.03601 8999.83912 1936.52350 -20716.98259
## 3336 3337 3338 3339 3340
## -31278.71883 -59307.96780 15815.79281 13178.66560 33942.42821
## 3341 3342 3343 3344 3345
## 22365.63820 9146.37276 11862.85209 -5823.22228 -32821.85188
## 3346 3347 3348 3349 3350
## 47086.79090 72866.97396 82200.10085 47034.90043 55266.98947
## 3351 3352 3353 3354 3355
## 25201.54609 46492.87659 63142.68528 58149.55875 50854.71183
## 3356 3357 3358 3359 3360
## 61071.67724 45721.72937 1230.14277 47493.86343 52385.18772
## 3361 3362 3363 3364 3365
## 24089.36488 49017.01058 56446.87155 10710.64697 -10636.79308
## 3366 3367 3368 3369 3370
## 17475.10817 53474.09959 56949.84244 52840.72158 64842.91521
## 3371 3372 3373 3374 3375
## 30060.70012 14643.42357 68747.81695 60124.96936 80528.45282
## 3376 3377 3378 3379 3380
## 39658.02930 54145.39968 -9415.83707 -54815.54376 -25152.84918
## 3381 3382 3383 3384 3385
## -26177.00624 -6338.26830 -20847.01490 20.69534 -38277.09402
## 3386 3387 3388 3389 3390
## -23437.79945 -8361.82477 21510.71014 4449.26949 16449.97222
## 3391 3392 3393 3394 3395
## 10212.79506 8908.02760 1655.61319 34585.31765 8888.40663
## 3396 3397 3398 3399 3400
## 24260.25502 59236.67275 38717.90368 -2359.85612 -23660.66025
## 3401 3402 3403 3404 3405
## 21436.62094 48859.49670 41760.06160 56061.33706 59399.50486
## 3406 3407 3408 3409 3410
## 54691.98870 21819.57825 43031.09983 72974.54748 67561.85582
## 3411 3412 3413 3414 3415
## 49395.36524 47847.34050 5927.08066 13230.99178 48604.32999
## 3416 3417 3418 3419 3420
## 72875.67473 75450.12742 45822.53662 47637.21733 15036.46842
## 3421 3422 3423 3424 3425
## 11437.52717 45635.59911 57418.00958 29198.16160 52636.67182
## 3426 3427 3428 3429 3430
## 62663.03097 35494.42882 6893.93880 72096.47721 73559.20212
## 3431 3432 3433 3434 3435
## 68466.80472 62192.97522 77557.43200 50695.47104 15283.43708
## 3436 3437 3438 3439 3440
## 33200.95341 27853.11747 -22144.56384 29379.42439 58722.69945
## 3441 3442 3443 3444 3445
## 31503.62473 11276.10497 58654.46137 29626.55487 -10316.81429
## 3446 3447 3448 3449 3450
## 40490.04333 55987.08234 22948.72288 19609.24964 27048.10218
## 3451 3452 3453 3454 3455
## 59302.53152 26606.26087 40460.20700 40866.94533 17670.56491
## 3456 3457 3458 3459 3460
## -3815.02040 2704.34770 40479.02455 27863.15901 23082.40097
## 3461 3462 3463 3464 3465
## 11790.24630 -20024.58462 -21875.65218 12072.99846 12889.43243
## 3466 3467 3468 3469 3470
## 30810.65703 40461.53427 25192.62874 2025.81632 -25385.92062
## 3471 3472 3473 3474 3475
## -14440.30159 35775.01994 25204.21275 13640.23269 13606.45570
## 3476 3477 3478 3479 3480
## -17211.87385 -29445.53701 12512.87216 -6082.28363 47594.16870
## 3481 3482 3483 3484 3485
## -8854.56618 10227.80177 -9217.04627 -20139.65138 -29750.77395
## 3486 3487 3488 3489 3490
## 33231.51393 802.24884 2361.15323 -15424.31723 -15130.16529
## 3491 3492 3493 3494 3495
## -34808.59091 23230.55654 6058.78852 8893.26932 7203.02282
## 3496 3497 3498 3499 3500
## 16778.19264 -7879.68394 -31284.49639 15126.43762 21672.26142
##
## Shapiro-Wilk normality test
##
## data: residuals(model.dlm)
## W = 0.9282, p-value < 2.2e-16
Uji Non Autokorelasi
bgtest(model.dlm$model)##
## Breusch-Godfrey test for serial correlation of order up to 1
##
## data: model.dlm$model
## LM test = 3283.5, df = 1, p-value < 2.2e-16
Uji Heterogenitas
bptest(model.dlm$model)##
## studentized Breusch-Pagan test
##
## data: model.dlm$model
## BP = 41.98, df = 11, p-value = 1.633e-05
KESIMPULAN
DAFTAR PUSTAKA
https://www.kaggle.com/datasets/sushilkumarinfo/bitcoin-transactional-data
Pratama IGM, Sumarjaya IW, Suciptawati NLP. 2022. Peramalan harga bitcoin dengan metode smooth transition autoregressive (STAR). E-Jurnal Matematika. 11(2): 100-105.