Timeseries practice
Kim Gyu Ri
2019-07-31
시계열
airline <- scan("http://stat.ethz.ch/Teaching/Datasets/airline.dat")
t<-ts(airline,start=c(1949,1),frequency = 12)
par(mfrow=c(1,2))
plot(c(time(t)),airline,xlab="Time",type="l")
plot(c(time(t)),log(airline),xlab="Time",type="l")
로그변환
plot(c(time(t)),log(airline),type="l",main="Loagarithmzed data")
f1<- 1:144 # f1이라는 변수에 trend에 해당하는 값을 기저로 넣음. f1=t인 선형 모형의 벡터값을 저장
f2<- rep(c(1, rep(0,11)), 12) # f2변수에는 1월에 해당되는 값에만 1값을 넣고, 나머지는 0 값을 갖는 벡터임. rep()함수를 이용해서 복제가능. 즉, rep(0,11)이라고 하면0을 11번 반복 복제됨
f3 <- rep(c(0,1,rep(0,10)), 12)
f4 <- rep(c(0,0,1,rep(0,9)), 12)
f5 <- rep(c(0,0,0,1,rep(0,8)), 12)
f6 <- rep(c(0,0,0,0,1,rep(0,7)), 12)
f7 <- rep(c(0,0,0,0,0,1,rep(0,6)), 12)
f8 <- rep(c(0,0,0,0,0,0,1,rep(0,5)), 12)
f9 <- rep(c(0,0,0,0,0,0,0,1,rep(0,4)), 12)
f10 <- rep(c(0,0,0,0,0,0,0,0,1,rep(0,3)), 12)
f11 <- rep(c(0,0,0,0,0,0,0,0,0,1,rep(0,2)), 12)
f12 <- rep(c(0,0,0,0,0,0,0,0,0,0,1,rep(0,1)), 12)
f13 <- rep(c(rep(0,11),1),12)
reg1 <- lm(log(airline) ~f1+f2+f3+f4+f5+f6+f7+f8+f9+f10+f11+f12+f13 -1) trend <- 1:144
month<-as.factor(rep(month.name,12))
reg2 <- lm(log(airline)~trend+month -1)
par(mfrow=c(3,2))
plot(trend,airline,type="l",main="original data")
plot(trend,log(airline),type = "l",main="logarithmized data")
plot(trend,fitted(reg2),type="l",main="fitted data")
plot(trend,residuals(reg2),type="l",main="residals")
plot(trend,rnorm(144),type="l",main="simulate data")
plot(trend,rnorm(144),type="l",main="more simulated normed data")
LogAirPassengers <- log(AirPassengers)
onediff_LA <- diff(LogAirPassengers)
adf.test(onediff_LA,alternative = "stationary",k=0)## Warning in adf.test(onediff_LA, alternative = "stationary", k = 0): p-value
## smaller than printed p-value##
## Augmented Dickey-Fuller Test
##
## data: onediff_LA
## Dickey-Fuller = -9.6003, Lag order = 0, p-value = 0.01
## alternative hypothesis: stationaryauto.arima(onediff_LA)## Series: onediff_LA
## ARIMA(0,0,1)(0,1,1)[12]
##
## Coefficients:
## ma1 sma1
## -0.4018 -0.5569
## s.e. 0.0896 0.0731
##
## sigma^2 estimated as 0.001369: log likelihood=244.7
## AIC=-483.39 AICc=-483.2 BIC=-474.77fit <- arima(log(AirPassengers),c(0,1,1),seasonal = list(order=c(0,1,1),period=12))
pred<-predict(fit,n.ahead=1*12)
par(mfrow=c(1,1))
ts.plot(AirPassengers,2.718^pred$pred,log="y",lty=c(1,3))
사인함수 파라미터 설정
x <- seq(0,2*pi,by=pi/101)
amp.1 <- 2 #진폭 2
amp.2 <- 2
amp.3 <- 5
amp.4 <- 5
wav.1 <- 1 #주기 1
wav.2 <- 2
wav.3 <- 3
wav.4 <- 7사인함수 생성
signal.1 <- amp.1*sin(wav.1*x) #진폭 2 & 주기 1인 사인함수
signal.2 <- amp.2*sin(wav.2*x)
signal.3 <- amp.3*sin(wav.3*x)
signal.4 <- amp.4*sin(wav.4*x)시간 영역대의 4개의 sine 함수 그래프
par(mfrow = c(1,4))
plot(x,signal.1,type="l",ylim=c(-5,5)) ; abline(h=0,lty=3)
plot(x,signal.2,type="l",ylim=c(-5,5)) ; abline(h=0,lty=3)
plot(x,signal.3,type="l",ylim=c(-5,5)) ; abline(h=0,lty=3)
plot(x,signal.4,type="l",ylim=c(-5,5)) ; abline(h=0,lty=3)
사인함수 4개 합친 그래프 그리기
signal.1234 <- signal.1+signal.2+signal.3+signal.4
head(signal.1234)## [1] 0.000000 1.732524 3.409451 4.977626 6.388676 7.601110par(mfrow=c(1,1))
plot(x,signal.1234,type="l",main="Sum of signal.1&2&3&4",xlab = "time",ylab="Amplitude")
푸리에 변환
N <- length(x)
fft_x_abs <- abs(fft(signal.1234)/((N-1)/2)) #표준화 절대값
plot(fft_x_abs,type="h")
앞의 주파수 20개만 그래프 그리기
plot(fft_x_abs[1:20],type="h")
푸리에 변환을 통한 arima 모형 예측
실습
wt <- nottem
ts_wt <- ts(wt,start=c(2014,1,1),frequency = 365)
ts.plot(wt)
diff1_ts_wt <- diff(ts_wt,differences = 1)
ts.plot(diff1_ts_wt)
adf.test(diff1_ts_wt,alternative = "stationary",k=0)##
## Augmented Dickey-Fuller Test
##
## data: diff1_ts_wt
## Dickey-Fuller = -9.2929, Lag order = 0, p-value = 0.01
## alternative hypothesis: stationaryfit <- arima(ts_wt,order = c(3,2,1))
forecast(fit,h=730)## Point Forecast Lo 80 Hi 80 Lo 95
## 2014.6575 32.541968 26.089505 38.99443 22.673778
## 2014.6603 26.173327 13.655473 38.69118 7.028921
## 2014.6630 19.400577 -1.092586 39.89374 -11.941011
## 2014.6658 13.758813 -15.899172 43.41680 -31.599160
## 2014.6685 6.708883 -33.054189 46.47195 -54.103488
## 2014.6712 1.074262 -49.924920 52.07344 -76.922256
## 2014.6740 -5.842067 -68.790855 57.10672 -102.113931
## 2014.6767 -11.671432 -87.537556 64.19469 -127.698657
## 2014.6795 -18.379962 -107.814893 71.05497 -155.158886
## 2014.6822 -24.403781 -128.229712 79.42215 -183.191839
## 2014.6849 -30.943766 -149.785017 87.89748 -212.695775
## 2014.6877 -37.106156 -171.676569 97.46426 -242.913842
## 2014.6904 -43.536762 -194.436700 107.36318 -274.318302
## 2014.6932 -49.782588 -217.649167 118.08399 -306.512367
## 2014.6959 -56.151474 -241.559032 129.25608 -339.707865
## 2014.6986 -62.441631 -265.972691 141.08943 -373.715526
## 2014.7014 -68.779616 -290.981540 153.42231 -408.608133
## 2014.7041 -75.090627 -316.505704 166.32445 -444.303126
## 2014.7068 -81.415054 -342.564482 179.73437 -480.808638
## 2014.7096 -87.734479 -369.129413 193.66046 -518.090894
## 2014.7123 -94.054007 -396.191394 208.08338 -556.133265
## 2014.7151 -100.376011 -423.741727 222.98970 -594.921196
## 2014.7178 -106.694428 -451.763495 238.37464 -634.432025
## 2014.7205 -113.016666 -480.253615 254.22028 -674.657113
## 2014.7233 -119.335331 -509.195584 270.52492 -715.575135
## 2014.7260 -125.657091 -538.586638 287.27246 -757.178337
## 2014.7288 -131.976308 -568.413082 304.46047 -799.448754
## 2014.7315 -138.297532 -598.671114 322.07605 -842.378167
## 2014.7342 -144.617225 -629.349896 340.11544 -885.951871
## 2014.7370 -150.938050 -660.444681 358.56858 -930.161198
## 2014.7397 -157.258063 -691.946849 377.43072 -974.993995
## 2014.7425 -163.578642 -723.851153 396.69387 -1020.441505
## 2014.7452 -169.898838 -756.150519 416.35284 -1066.493412
## 2014.7479 -176.219283 -788.839592 436.40103 -1113.141194
## 2014.7507 -182.539574 -821.912338 456.83319 -1160.375833
## 2014.7534 -188.859955 -855.363547 477.64364 -1208.189236
## 2014.7562 -195.180288 -889.187893 498.82732 -1256.573326
## 2014.7589 -201.500642 -923.380438 520.37915 -1305.520519
## 2014.7616 -207.820991 -957.936363 542.29438 -1355.023454
## 2014.7644 -214.141336 -992.851047 564.56837 -1405.075067
## 2014.7671 -220.461690 -1028.120059 587.19668 -1455.668573
## 2014.7699 -226.782034 -1063.739096 610.17503 -1506.797402
## 2014.7726 -233.102387 -1099.704044 633.49927 -1558.455250
## 2014.7753 -239.422732 -1136.010896 657.16543 -1610.636001
## 2014.7781 -245.743084 -1172.655813 681.16965 -1663.333772
## 2014.7808 -252.063430 -1209.635055 705.50820 -1716.542853
## 2014.7836 -258.383780 -1246.945024 730.17746 -1770.257736
## 2014.7863 -264.704128 -1284.582223 755.17397 -1824.473074
## 2014.7890 -271.024477 -1322.543271 780.49432 -1879.183696
## 2014.7918 -277.344825 -1360.824884 806.13523 -1934.384581
## 2014.7945 -283.665174 -1399.423882 832.09353 -1990.070863
## 2014.7973 -289.985523 -1438.337172 858.36613 -2046.237814
## 2014.8000 -296.305872 -1477.561753 884.95001 -2102.880844
## 2014.8027 -302.626220 -1517.094708 911.84227 -2159.995490
## 2014.8055 -308.946569 -1556.933200 939.04006 -2217.577416
## 2014.8082 -315.266918 -1597.074468 966.54063 -2275.622398
## 2014.8110 -321.587266 -1637.515828 994.34129 -2334.126329
## 2014.8137 -327.907615 -1678.254661 1022.43943 -2393.085207
## 2014.8164 -334.227964 -1719.288419 1050.83249 -2452.495135
## 2014.8192 -340.548312 -1760.614618 1079.51799 -2512.352311
## 2014.8219 -346.868661 -1802.230835 1108.49351 -2572.653032
## 2014.8247 -353.189010 -1844.134706 1137.75669 -2633.393682
## 2014.8274 -359.509358 -1886.323924 1167.30521 -2694.570732
## 2014.8301 -365.829707 -1928.796238 1197.13682 -2756.180740
## 2014.8329 -372.150056 -1971.549447 1227.24934 -2818.220341
## 2014.8356 -378.470405 -2014.581403 1257.64059 -2880.686248
## 2014.8384 -384.790753 -2057.890005 1288.30850 -2943.575248
## 2014.8411 -391.111102 -2101.473199 1319.25100 -3006.884202
## 2014.8438 -397.431451 -2145.328977 1350.46608 -3070.610036
## 2014.8466 -403.751799 -2189.455374 1381.95178 -3134.749745
## 2014.8493 -410.072148 -2233.850465 1413.70617 -3199.300388
## 2014.8521 -416.392497 -2278.512369 1445.72738 -3264.259085
## 2014.8548 -422.712845 -2323.439241 1478.01355 -3329.623016
## 2014.8575 -429.033194 -2368.629275 1510.56289 -3395.389418
## 2014.8603 -435.353543 -2414.080702 1543.37362 -3461.555586
## 2014.8630 -441.673891 -2459.791786 1576.44400 -3528.118867
## 2014.8658 -447.994240 -2505.760828 1609.77235 -3595.076660
## 2014.8685 -454.314589 -2551.986161 1643.35698 -3662.426414
## 2014.8712 -460.634937 -2598.466148 1677.19627 -3730.165630
## 2014.8740 -466.955286 -2645.199185 1711.28861 -3798.291852
## 2014.8767 -473.275635 -2692.183697 1745.63243 -3866.802672
## 2014.8795 -479.595983 -2739.418139 1780.22617 -3935.695727
## 2014.8822 -485.916332 -2786.900994 1815.06833 -4004.968696
## 2014.8849 -492.236681 -2834.630770 1850.15741 -4074.619299
## 2014.8877 -498.557030 -2882.606005 1885.49195 -4144.645299
## 2014.8904 -504.877378 -2930.825261 1921.07050 -4215.044497
## 2014.8932 -511.197727 -2979.287125 1956.89167 -4285.814730
## 2014.8959 -517.518076 -3027.990207 1992.95406 -4356.953877
## 2014.8986 -523.838424 -3076.933143 2029.25629 -4428.459848
## 2014.9014 -530.158773 -3126.114591 2065.79705 -4500.330591
## 2014.9041 -536.479122 -3175.533231 2102.57499 -4572.564088
## 2014.9068 -542.799470 -3225.187764 2139.58882 -4645.158353
## 2014.9096 -549.119819 -3275.076914 2176.83728 -4718.111432
## 2014.9123 -555.440168 -3325.199423 2214.31909 -4791.421405
## 2014.9151 -561.760516 -3375.554055 2252.03302 -4865.086379
## 2014.9178 -568.080865 -3426.139594 2289.97786 -4939.104493
## 2014.9205 -574.401214 -3476.954840 2328.15241 -5013.473915
## 2014.9233 -580.721562 -3527.998613 2366.55549 -5088.192840
## 2014.9260 -587.041911 -3579.269753 2405.18593 -5163.259491
## 2014.9288 -593.362260 -3630.767115 2444.04260 -5238.672119
## 2014.9315 -599.682608 -3682.489572 2483.12435 -5314.429000
## 2014.9342 -606.002957 -3734.436012 2522.43010 -5390.528435
## 2014.9370 -612.323306 -3786.605343 2561.95873 -5466.968751
## 2014.9397 -618.643655 -3838.996486 2601.70918 -5543.748298
## 2014.9425 -624.964003 -3891.608377 2641.68037 -5620.865452
## 2014.9452 -631.284352 -3944.439970 2681.87127 -5698.318610
## 2014.9479 -637.604701 -3997.490231 2722.28083 -5776.106192
## 2014.9507 -643.925049 -4050.758142 2762.90804 -5854.226641
## 2014.9534 -650.245398 -4104.242698 2803.75190 -5932.678421
## 2014.9562 -656.565747 -4157.942909 2844.81142 -6011.460017
## 2014.9589 -662.886095 -4211.857799 2886.08561 -6090.569934
## 2014.9616 -669.206444 -4265.986401 2927.57351 -6170.006698
## 2014.9644 -675.526793 -4320.327767 2969.27418 -6249.768854
## 2014.9671 -681.847141 -4374.880957 3011.18667 -6329.854968
## 2014.9699 -688.167490 -4429.645045 3053.31006 -6410.263622
## 2014.9726 -694.487839 -4484.619117 3095.64344 -6490.993420
## 2014.9753 -700.808187 -4539.802270 3138.18590 -6572.042979
## 2014.9781 -707.128536 -4595.193614 3180.93654 -6653.410939
## 2014.9808 -713.448885 -4650.792269 3223.89450 -6735.095954
## 2014.9836 -719.769234 -4706.597367 3267.05890 -6817.096695
## 2014.9863 -726.089582 -4762.608050 3310.42889 -6899.411852
## 2014.9890 -732.409931 -4818.823471 3354.00361 -6982.040129
## 2014.9918 -738.730280 -4875.242793 3397.78223 -7064.980245
## 2014.9945 -745.050628 -4931.865189 3441.76393 -7148.230937
## 2014.9973 -751.370977 -4988.689844 3485.94789 -7231.790957
## 2015.0000 -757.691326 -5045.715951 3530.33330 -7315.659070
## 2015.0027 -764.011674 -5102.942711 3574.91936 -7399.834057
## 2015.0055 -770.332023 -5160.369338 3619.70529 -7484.314714
## 2015.0082 -776.652372 -5217.995053 3664.69031 -7569.099849
## 2015.0110 -782.972720 -5275.819086 3709.87365 -7654.188286
## 2015.0137 -789.293069 -5333.840677 3755.25454 -7739.578861
## 2015.0164 -795.613418 -5392.059073 3800.83224 -7825.270424
## 2015.0192 -801.933766 -5450.473532 3846.60600 -7911.261839
## 2015.0219 -808.254115 -5509.083317 3892.57509 -7997.551980
## 2015.0247 -814.574464 -5567.887703 3938.73878 -8084.139736
## 2015.0274 -820.894812 -5626.885969 3985.09634 -8171.024008
## 2015.0301 -827.215161 -5686.077406 4031.64708 -8258.203708
## 2015.0329 -833.535510 -5745.461310 4078.39029 -8345.677761
## 2015.0356 -839.855859 -5805.036985 4125.32527 -8433.445104
## 2015.0384 -846.176207 -5864.803744 4172.45133 -8521.504683
## 2015.0411 -852.496556 -5924.760905 4219.76779 -8609.855457
## 2015.0438 -858.816905 -5984.907795 4267.27399 -8698.496398
## 2015.0466 -865.137253 -6045.243748 4314.96924 -8787.426484
## 2015.0493 -871.457602 -6105.768105 4362.85290 -8876.644709
## 2015.0521 -877.777951 -6166.480212 4410.92431 -8966.150073
## 2015.0548 -884.098299 -6227.379424 4459.18282 -9055.941590
## 2015.0575 -890.418648 -6288.465101 4507.62780 -9146.018281
## 2015.0603 -896.738997 -6349.736611 4556.25862 -9236.379179
## 2015.0630 -903.059345 -6411.193328 4605.07464 -9327.023326
## 2015.0658 -909.379694 -6472.834631 4654.07524 -9417.949774
## 2015.0685 -915.700043 -6534.659907 4703.25982 -9509.157584
## 2015.0712 -922.020391 -6596.668548 4752.62777 -9600.645826
## 2015.0740 -928.340740 -6658.859952 4802.17847 -9692.413580
## 2015.0767 -934.661089 -6721.233523 4851.91135 -9784.459935
## 2015.0795 -940.981437 -6783.788672 4901.82580 -9876.783988
## 2015.0822 -947.301786 -6846.524813 4951.92124 -9969.384845
## 2015.0849 -953.622135 -6909.441368 5002.19710 -10062.261622
## 2015.0877 -959.942484 -6972.537763 5052.65280 -10155.413441
## 2015.0904 -966.262832 -7035.813431 5103.28777 -10248.839434
## 2015.0932 -972.583181 -7099.267810 5154.10145 -10342.538741
## 2015.0959 -978.903530 -7162.900342 5205.09328 -10436.510510
## 2015.0986 -985.223878 -7226.710474 5256.26272 -10530.753896
## 2015.1014 -991.544227 -7290.697661 5307.60921 -10625.268062
## 2015.1041 -997.864576 -7354.861359 5359.13221 -10720.052181
## 2015.1068 -1004.184924 -7419.201033 5410.83118 -10815.105429
## 2015.1096 -1010.505273 -7483.716149 5462.70560 -10910.426995
## 2015.1123 -1016.825622 -7548.406181 5514.75494 -11006.016071
## 2015.1151 -1023.145970 -7613.270607 5566.97867 -11101.871858
## 2015.1178 -1029.466319 -7678.308907 5619.37627 -11197.993565
## 2015.1205 -1035.786668 -7743.520569 5671.94723 -11294.380404
## 2015.1233 -1042.107016 -7808.905083 5724.69105 -11391.031600
## 2015.1260 -1048.427365 -7874.461947 5777.60722 -11487.946380
## 2015.1288 -1054.747714 -7940.190658 5830.69523 -11585.123979
## 2015.1315 -1061.068063 -8006.090723 5883.95460 -11682.563640
## 2015.1342 -1067.388411 -8072.161649 5937.38483 -11780.264611
## 2015.1370 -1073.708760 -8138.402949 5990.98543 -11878.226147
## 2015.1397 -1080.029109 -8204.814140 6044.75592 -11976.447509
## 2015.1425 -1086.349457 -8271.394744 6098.69583 -12074.927965
## 2015.1452 -1092.669806 -8338.144285 6152.80467 -12173.666788
## 2015.1479 -1098.990155 -8405.062292 6207.08198 -12272.663257
## 2015.1507 -1105.310503 -8472.148298 6261.52729 -12371.916660
## 2015.1534 -1111.630852 -8539.401841 6316.14014 -12471.426287
## 2015.1562 -1117.951201 -8606.822460 6370.92006 -12571.191435
## 2015.1589 -1124.271549 -8674.409700 6425.86660 -12671.211409
## 2015.1616 -1130.591898 -8742.163110 6480.97931 -12771.485516
## 2015.1644 -1136.912247 -8810.082240 6536.25775 -12872.013072
## 2015.1671 -1143.232595 -8878.166647 6591.70146 -12972.793396
## 2015.1699 -1149.552944 -8946.415888 6647.31000 -13073.825813
## 2015.1726 -1155.873293 -9014.829528 6703.08294 -13175.109655
## 2015.1753 -1162.193641 -9083.407131 6759.01985 -13276.644257
## 2015.1781 -1168.513990 -9152.148266 6815.12029 -13378.428962
## 2015.1808 -1174.834339 -9221.052507 6871.38383 -13480.463114
## 2015.1836 -1181.154688 -9290.119430 6927.81005 -13582.746067
## 2015.1863 -1187.475036 -9359.348613 6984.39854 -13685.277176
## 2015.1890 -1193.795385 -9428.739640 7041.14887 -13788.055803
## 2015.1918 -1200.115734 -9498.292096 7098.06063 -13891.081314
## 2015.1945 -1206.436082 -9568.005570 7155.13341 -13994.353082
## 2015.1973 -1212.756431 -9637.879655 7212.36679 -14097.870481
## 2015.2000 -1219.076780 -9707.913944 7269.76038 -14201.632894
## 2015.2027 -1225.397128 -9778.108037 7327.31378 -14305.639704
## 2015.2055 -1231.717477 -9848.461535 7385.02658 -14409.890303
## 2015.2082 -1238.037826 -9918.974041 7442.89839 -14514.384085
## 2015.2110 -1244.358174 -9989.645163 7500.92881 -14619.120450
## 2015.2137 -1250.678523 -10060.474511 7559.11747 -14724.098799
## 2015.2164 -1256.998872 -10131.461698 7617.46395 -14829.318543
## 2015.2192 -1263.319220 -10202.606340 7675.96790 -14934.779092
## 2015.2219 -1269.639569 -10273.908054 7734.62892 -15040.479863
## 2015.2247 -1275.959918 -10345.366463 7793.44663 -15146.420277
## 2015.2274 -1282.280266 -10416.981189 7852.42066 -15252.599760
## 2015.2301 -1288.600615 -10488.751861 7911.55063 -15359.017739
## 2015.2329 -1294.920964 -10560.678106 7970.83618 -15465.673649
## 2015.2356 -1301.241313 -10632.759558 8030.27693 -15572.566925
## 2015.2384 -1307.561661 -10704.995850 8089.87253 -15679.697010
## 2015.2411 -1313.882010 -10777.386620 8149.62260 -15787.063348
## 2015.2438 -1320.202359 -10849.931507 8209.52679 -15894.665389
## 2015.2466 -1326.522707 -10922.630154 8269.58474 -16002.502584
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## 2015.2521 -1339.163405 -11068.487308 8390.16050 -16218.880270
## 2015.2548 -1345.483753 -11141.645111 8450.67760 -16327.419685
## 2015.2575 -1351.804102 -11214.955267 8511.34706 -16436.192103
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## 2015.2630 -1364.444799 -11362.031257 8633.14166 -16654.433838
## 2015.2658 -1370.765148 -11435.796407 8694.26611 -16763.902109
## 2015.2685 -1377.085497 -11509.712541 8755.54155 -16873.601290
## 2015.2712 -1383.405845 -11583.779322 8816.96763 -16983.530866
## 2015.2740 -1389.726194 -11657.996416 8878.54403 -17093.690326
## 2015.2767 -1396.046543 -11732.363491 8940.27041 -17204.079162
## 2015.2795 -1402.366891 -11806.880218 9002.14643 -17314.696871
## 2015.2822 -1408.687240 -11881.546268 9064.17179 -17425.542950
## 2015.2849 -1415.007589 -11956.361317 9126.34614 -17536.616902
## 2015.2877 -1421.327938 -12031.325040 9188.66916 -17647.918233
## 2015.2904 -1427.648286 -12106.437116 9251.14054 -17759.446450
## 2015.2932 -1433.968635 -12181.697227 9313.75996 -17871.201066
## 2015.2959 -1440.288984 -12257.105054 9376.52709 -17983.181596
## 2015.2986 -1446.609332 -12332.660283 9439.44162 -18095.387557
## 2015.3014 -1452.929681 -12408.362601 9502.50324 -18207.818470
## 2015.3041 -1459.250030 -12484.211696 9565.71164 -18320.473861
## 2015.3068 -1465.570378 -12560.207260 9629.06650 -18433.353255
## 2015.3096 -1471.890727 -12636.348985 9692.56753 -18546.456184
## 2015.3123 -1478.211076 -12712.636565 9756.21441 -18659.782179
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## 2015.3260 -1509.812819 -13096.251747 10076.62611 -19229.742019
## 2015.3288 -1516.133168 -13173.408155 10141.14182 -19344.396771
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## 2015.3370 -1535.094214 -13405.738841 10335.55041 -19689.678522
## 2015.3397 -1541.414563 -13483.468594 10400.63947 -19805.210131
## 2015.3425 -1547.734911 -13561.340967 10465.87114 -19920.959857
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## 2015.3507 -1566.695957 -13795.810966 10662.41905 -20269.513405
## 2015.3534 -1573.016306 -13874.250993 10728.21838 -20386.131283
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## 2015.3589 -1585.657003 -14031.554421 10860.24041 -20620.014535
## 2015.3616 -1591.977352 -14110.417273 10926.46257 -20737.279068
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## 2015.3671 -1604.618049 -14268.563892 11059.32779 -20972.451870
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## 2015.3726 -1617.258747 -14427.269936 11192.75244 -21208.480237
## 2015.3753 -1623.579095 -14506.832073 11259.67388 -21326.814235
## 2015.3781 -1629.899444 -14586.533268 11326.73438 -21445.360904
## 2015.3808 -1636.219793 -14666.373257 11393.93367 -21564.119840
## 2015.3836 -1642.540142 -14746.351780 11461.27150 -21683.090644
## 2015.3863 -1648.860490 -14826.468575 11528.74759 -21802.272918
## 2015.3890 -1655.180839 -14906.723384 11596.36171 -21921.666266
## 2015.3918 -1661.501188 -14987.115950 11664.11357 -22041.270296
## 2015.3945 -1667.821536 -15067.646018 11732.00295 -22161.084616
## 2015.3973 -1674.141885 -15148.313332 11800.02956 -22281.108837
## 2015.4000 -1680.462234 -15229.117641 11868.19317 -22401.342572
## 2015.4027 -1686.782582 -15310.058693 11936.49353 -22521.785438
## 2015.4055 -1693.102931 -15391.136236 12004.93037 -22642.437050
## 2015.4082 -1699.423280 -15472.350024 12073.50346 -22763.297030
## 2015.4110 -1705.743628 -15553.699808 12142.21255 -22884.364998
## 2015.4137 -1712.063977 -15635.185343 12211.05739 -23005.640578
## 2015.4164 -1718.384326 -15716.806383 12280.03773 -23127.123396
## 2015.4192 -1724.704674 -15798.562685 12349.15334 -23248.813080
## 2015.4219 -1731.025023 -15880.454007 12418.40396 -23370.709259
## 2015.4247 -1737.345372 -15962.480108 12487.78936 -23492.811565
## 2015.4274 -1743.665720 -16044.640750 12557.30931 -23615.119632
## 2015.4301 -1749.986069 -16126.935692 12626.96355 -23737.633095
## 2015.4329 -1756.306418 -16209.364700 12696.75186 -23860.351593
## 2015.4356 -1762.626767 -16291.927536 12766.67400 -23983.274764
## 2015.4384 -1768.947115 -16374.623966 12836.72974 -24106.402249
## 2015.4411 -1775.267464 -16457.453757 12906.91883 -24229.733693
## 2015.4438 -1781.587813 -16540.416677 12977.24105 -24353.268740
## 2015.4466 -1787.908161 -16623.512496 13047.69617 -24477.007037
## 2015.4493 -1794.228510 -16706.740983 13118.28396 -24600.948232
## 2015.4521 -1800.548859 -16790.101909 13189.00419 -24725.091978
## 2015.4548 -1806.869207 -16873.595049 13259.85663 -24849.437925
## 2015.4575 -1813.189556 -16957.220175 13330.84106 -24973.985728
## 2015.4603 -1819.509905 -17040.977063 13401.95725 -25098.735044
## 2015.4630 -1825.830253 -17124.865488 13473.20498 -25223.685529
## 2015.4658 -1832.150602 -17208.885229 13544.58402 -25348.836843
## 2015.4685 -1838.470951 -17293.036063 13616.09416 -25474.188647
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## 2015.4740 -1851.111648 -17461.730132 13759.50684 -25725.492380
## 2015.4767 -1857.431997 -17546.272928 13831.40893 -25851.443640
## 2015.4795 -1863.752346 -17630.945944 13903.44125 -25977.594051
## 2015.4822 -1870.072694 -17715.748961 13975.60357 -26103.943284
## 2015.4849 -1876.393043 -17800.681766 14047.89568 -26230.491010
## 2015.4877 -1882.713392 -17885.744145 14120.31736 -26357.236901
## 2015.4904 -1889.033740 -17970.935884 14192.86840 -26484.180632
## 2015.4932 -1895.354089 -18056.256772 14265.54859 -26611.321879
## 2015.4959 -1901.674438 -18141.706597 14338.35772 -26738.660320
## 2015.4986 -1907.994786 -18227.285152 14411.29558 -26866.195634
## 2015.5014 -1914.315135 -18312.992225 14484.36196 -26993.927501
## 2015.5041 -1920.635484 -18398.827611 14557.55664 -27121.855604
## 2015.5068 -1926.955832 -18484.791101 14630.87944 -27249.979627
## 2015.5096 -1933.276181 -18570.882491 14704.33013 -27378.299256
## 2015.5123 -1939.596530 -18657.101575 14777.90852 -27506.814176
## 2015.5151 -1945.916878 -18743.448151 14851.61439 -27635.524076
## 2015.5178 -1952.237227 -18829.922014 14925.44756 -27764.428647
## 2015.5205 -1958.557576 -18916.522964 14999.40781 -27893.527580
## 2015.5233 -1964.877924 -19003.250799 15073.49495 -28022.820567
## 2015.5260 -1971.198273 -19090.105319 15147.70877 -28152.307303
## 2015.5288 -1977.518622 -19177.086326 15222.04908 -28281.987483
## 2015.5315 -1983.838971 -19264.193621 15296.51568 -28411.860805
## 2015.5342 -1990.159319 -19351.427008 15371.10837 -28541.926966
## 2015.5370 -1996.479668 -19438.786290 15445.82695 -28672.185668
## 2015.5397 -2002.800017 -19526.271272 15520.67124 -28802.636611
## 2015.5425 -2009.120365 -19613.881759 15595.64103 -28933.279499
## 2015.5452 -2015.440714 -19701.617559 15670.73613 -29064.114034
## 2015.5479 -2021.761063 -19789.478477 15745.95635 -29195.139924
## 2015.5507 -2028.081411 -19877.464324 15821.30150 -29326.356873
## 2015.5534 -2034.401760 -19965.574908 15896.77139 -29457.764592
## 2015.5562 -2040.722109 -20053.810038 15972.36582 -29589.362789
## 2015.5589 -2047.042457 -20142.169527 16048.08461 -29721.151174
## 2015.5616 -2053.362806 -20230.653185 16123.92757 -29853.129461
## 2015.5644 -2059.683155 -20319.260825 16199.89452 -29985.297363
## 2015.5671 -2066.003503 -20407.992262 16275.98525 -30117.654594
## 2015.5699 -2072.323852 -20496.847308 16352.19960 -30250.200870
## 2015.5726 -2078.644201 -20585.825780 16428.53738 -30382.935909
## 2015.5753 -2084.964549 -20674.927493 16504.99839 -30515.859429
## 2015.5781 -2091.284898 -20764.152264 16581.58247 -30648.971151
## 2015.5808 -2097.605247 -20853.499911 16658.28942 -30782.270794
## 2015.5836 -2103.925596 -20942.970252 16735.11906 -30915.758082
## 2015.5863 -2110.245944 -21032.563106 16812.07122 -31049.432738
## 2015.5890 -2116.566293 -21122.278293 16889.14571 -31183.294486
## 2015.5918 -2122.886642 -21212.115635 16966.34235 -31317.343053
## 2015.5945 -2129.206990 -21302.074952 17043.66097 -31451.578166
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## 2015.6055 -2154.488385 -21663.128438 17354.15167 -31990.378660
## 2015.6082 -2160.808734 -21753.694985 17432.07752 -32125.542450
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## 2015.6274 -2205.051175 -22391.036975 17980.93463 -33076.852377
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## 2015.6438 -2242.973267 -22942.001686 18456.05515 -33899.405444
## 2015.6466 -2249.293615 -23034.245649 18535.65842 -34037.134622
## 2015.6493 -2255.613964 -23126.608177 18615.38025 -34175.045127
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## 2015.6548 -2268.254661 -23311.688272 18775.17895 -34451.409125
## 2015.6575 -2274.575010 -23404.405515 18855.25550 -34589.862122
## 2015.6603 -2280.895359 -23497.240674 18935.44996 -34728.495455
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## 2015.6932 -2356.739543 -24620.402217 19906.92313 -36406.073319
## 2015.6959 -2363.059892 -24714.755907 19988.63612 -36547.029043
## 2015.6986 -2369.380240 -24809.225322 20070.46484 -36688.161756
## 2015.7014 -2375.700589 -24903.810313 20152.40913 -36829.471226
## 2015.7041 -2382.020938 -24998.510727 20234.46885 -36970.957220
## 2015.7068 -2388.341286 -25093.326414 20316.64384 -37112.619510
## 2015.7096 -2394.661635 -25188.257224 20398.93395 -37254.457865
## 2015.7123 -2400.981984 -25283.303008 20481.33904 -37396.472058
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## 2015.7178 -2413.622681 -25473.738903 20646.49354 -37681.027045
## 2015.7205 -2419.943030 -25569.128718 20729.24266 -37823.567387
## 2015.7233 -2426.263378 -25664.632915 20812.10616 -37966.282661
## 2015.7260 -2432.583727 -25760.251347 20895.08389 -38109.172643
## 2015.7288 -2438.904076 -25855.983869 20978.17572 -38252.237111
## 2015.7315 -2445.224425 -25951.830335 21061.38149 -38395.475841
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## 2015.7370 -2457.865122 -26143.864521 21228.13428 -38682.475203
## 2015.7397 -2464.185471 -26240.051953 21311.68101 -38826.235395
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## 2015.7753 -2546.350003 -27500.753668 22408.05366 -40710.817008
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## 2015.7973 -2596.912793 -28285.960206 23092.13462 -41884.920455
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## 2015.8411 -2698.038372 -29877.519307 24481.44256 -44265.467404
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## 2015.8795 -2786.523254 -31292.921646 25719.87514 -46383.297415
## 2015.8822 -2792.843602 -31394.826090 25809.13889 -46535.801022
## 2015.8849 -2799.163951 -31496.837130 25898.50923 -46688.467653
## 2015.8877 -2805.484300 -31598.954646 25987.98605 -46841.297126
## 2015.8904 -2811.804648 -31701.178520 26077.56922 -46994.289260
## 2015.8932 -2818.124997 -31803.508635 26167.25864 -47147.443875
## 2015.8959 -2824.445346 -31905.944873 26257.05418 -47300.760791
## 2015.8986 -2830.765694 -32008.487117 26346.95573 -47454.239830
## 2015.9014 -2837.086043 -32111.135250 26436.96316 -47607.880812
## 2015.9041 -2843.406392 -32213.889157 26527.07637 -47761.683561
## 2015.9068 -2849.726740 -32316.748720 26617.29524 -47915.647898
## 2015.9096 -2856.047089 -32419.713826 26707.61965 -48069.773648
## 2015.9123 -2862.367438 -32522.784358 26798.04948 -48224.060633
## 2015.9151 -2868.687786 -32625.960202 26888.58463 -48378.508680
## 2015.9178 -2875.008135 -32729.241244 26979.22497 -48533.117612
## 2015.9205 -2881.328484 -32832.627369 27069.97040 -48687.887255
## 2015.9233 -2887.648832 -32936.118464 27160.82080 -48842.817436
## 2015.9260 -2893.969181 -33039.714415 27251.77605 -48997.907981
## 2015.9288 -2900.289530 -33143.415111 27342.83605 -49153.158717
## 2015.9315 -2906.609879 -33247.220437 27434.00068 -49308.569473
## 2015.9342 -2912.930227 -33351.130282 27525.26983 -49464.140077
## 2015.9370 -2919.250576 -33455.144534 27616.64338 -49619.870358
## 2015.9397 -2925.570925 -33559.263082 27708.12123 -49775.760146
## 2015.9425 -2931.891273 -33663.485815 27799.70327 -49931.809269
## 2015.9452 -2938.211622 -33767.812621 27891.38938 -50088.017560
## 2015.9479 -2944.531971 -33872.243391 27983.17945 -50244.384850
## 2015.9507 -2950.852319 -33976.778013 28075.07337 -50400.910969
## 2015.9534 -2957.172668 -34081.416380 28167.07104 -50557.595750
## 2015.9562 -2963.493017 -34186.158381 28259.17235 -50714.439027
## 2015.9589 -2969.813365 -34291.003907 28351.37718 -50871.440631
## 2015.9616 -2976.133714 -34395.952850 28443.68542 -51028.600398
## 2015.9644 -2982.454063 -34501.005101 28536.09698 -51185.918161
## 2015.9671 -2988.774411 -34606.160553 28628.61173 -51343.393756
## 2015.9699 -2995.094760 -34711.419097 28721.22958 -51501.027017
## 2015.9726 -3001.415109 -34816.780626 28813.95041 -51658.817780
## 2015.9753 -3007.735458 -34922.245034 28906.77412 -51816.765883
## 2015.9781 -3014.055806 -35027.812213 28999.70060 -51974.871161
## 2015.9808 -3020.376155 -35133.482058 29092.72975 -52133.133452
## 2015.9836 -3026.696504 -35239.254463 29185.86146 -52291.552595
## 2015.9863 -3033.016852 -35345.129321 29279.09562 -52450.128427
## 2015.9890 -3039.337201 -35451.106528 29372.43213 -52608.860788
## 2015.9918 -3045.657550 -35557.185978 29465.87088 -52767.749516
## 2015.9945 -3051.977898 -35663.367567 29559.41177 -52926.794452
## 2015.9973 -3058.298247 -35769.651190 29653.05470 -53085.995437
## 2016.0000 -3064.618596 -35876.036744 29746.79955 -53245.352310
## 2016.0027 -3070.938944 -35982.524124 29840.64624 -53404.864914
## 2016.0055 -3077.259293 -36089.113227 29934.59464 -53564.533090
## 2016.0082 -3083.579642 -36195.803951 30028.64467 -53724.356680
## 2016.0110 -3089.899990 -36302.596192 30122.79621 -53884.335529
## 2016.0137 -3096.220339 -36409.489848 30217.04917 -54044.469477
## 2016.0164 -3102.540688 -36516.484817 30311.40344 -54204.758370
## 2016.0192 -3108.861036 -36623.580996 30405.85892 -54365.202052
## 2016.0219 -3115.181385 -36730.778285 30500.41551 -54525.800368
## 2016.0247 -3121.501734 -36838.076582 30595.07311 -54686.553161
## 2016.0274 -3127.822083 -36945.475786 30689.83162 -54847.460279
## 2016.0301 -3134.142431 -37052.975797 30784.69093 -55008.521568
## 2016.0329 -3140.462780 -37160.576513 30879.65095 -55169.736873
## 2016.0356 -3146.783129 -37268.277836 30974.71158 -55331.106041
## 2016.0384 -3153.103477 -37376.079666 31069.87271 -55492.628922
## 2016.0411 -3159.423826 -37483.981902 31165.13425 -55654.305361
## 2016.0438 -3165.744175 -37591.984446 31260.49610 -55816.135208
## 2016.0466 -3172.064523 -37700.087199 31355.95815 -55978.118311
## 2016.0493 -3178.384872 -37808.290063 31451.52032 -56140.254520
## 2016.0521 -3184.705221 -37916.592938 31547.18250 -56302.543684
## 2016.0548 -3191.025569 -38024.995728 31642.94459 -56464.985654
## 2016.0575 -3197.345918 -38133.498334 31738.80650 -56627.580280
## 2016.0603 -3203.666267 -38242.100659 31834.76813 -56790.327413
## 2016.0630 -3209.986615 -38350.802607 31930.82938 -56953.226905
## 2016.0658 -3216.306964 -38459.604079 32026.99015 -57116.278607
## 2016.0685 -3222.627313 -38568.504979 32123.25035 -57279.482371
## 2016.0712 -3228.947661 -38677.505212 32219.60989 -57442.838052
## 2016.0740 -3235.268010 -38786.604682 32316.06866 -57606.345501
## 2016.0767 -3241.588359 -38895.803291 32412.62657 -57770.004572
## 2016.0795 -3247.908708 -39005.100946 32509.28353 -57933.815120
## 2016.0822 -3254.229056 -39114.497551 32606.03944 -58097.776998
## 2016.0849 -3260.549405 -39223.993010 32702.89420 -58261.890062
## 2016.0877 -3266.869754 -39333.587230 32799.84772 -58426.154167
## 2016.0904 -3273.190102 -39443.280116 32896.89991 -58590.569169
## 2016.0932 -3279.510451 -39553.071574 32994.05067 -58755.134924
## 2016.0959 -3285.830800 -39662.961510 33091.29991 -58919.851287
## 2016.0986 -3292.151148 -39772.949831 33188.64753 -59084.718117
## 2016.1014 -3298.471497 -39883.036443 33286.09345 -59249.735271
## 2016.1041 -3304.791846 -39993.221253 33383.63756 -59414.902606
## 2016.1068 -3311.112194 -40103.504168 33481.27978 -59580.219980
## 2016.1096 -3317.432543 -40213.885097 33579.02001 -59745.687252
## 2016.1123 -3323.752892 -40324.363947 33676.85816 -59911.304281
## 2016.1151 -3330.073240 -40434.940625 33774.79414 -60077.070927
## 2016.1178 -3336.393589 -40545.615040 33872.82786 -60242.987048
## 2016.1205 -3342.713938 -40656.387101 33970.95923 -60409.052506
## 2016.1233 -3349.034287 -40767.256717 34069.18814 -60575.267160
## 2016.1260 -3355.354635 -40878.223796 34167.51453 -60741.630872
## 2016.1288 -3361.674984 -40989.288248 34265.93828 -60908.143502
## 2016.1315 -3367.995333 -41100.449982 34364.45932 -61074.804914
## 2016.1342 -3374.315681 -41211.708908 34463.07755 -61241.614967
## 2016.1370 -3380.636030 -41323.064937 34561.79288 -61408.573526
## 2016.1397 -3386.956379 -41434.517978 34660.60522 -61575.680453
## 2016.1425 -3393.276727 -41546.067943 34759.51449 -61742.935612
## 2016.1452 -3399.597076 -41657.714741 34858.52059 -61910.338864
## 2016.1479 -3405.917425 -41769.458285 34957.62344 -62077.890076
## 2016.1507 -3412.237773 -41881.298484 35056.82294 -62245.589111
## 2016.1534 -3418.558122 -41993.235252 35156.11901 -62413.435833
## 2016.1562 -3424.878471 -42105.268499 35255.51156 -62581.430109
## 2016.1589 -3431.198819 -42217.398138 35355.00050 -62749.571802
## 2016.1616 -3437.519168 -42329.624081 35454.58574 -62917.860780
## 2016.1644 -3443.839517 -42441.946240 35554.26721 -63086.296908
## 2016.1671 -3450.159865 -42554.364529 35654.04480 -63254.880053
## 2016.1699 -3456.480214 -42666.878859 35753.91843 -63423.610082
## 2016.1726 -3462.800563 -42779.489145 35853.88802 -63592.486862
## 2016.1753 -3469.120912 -42892.195300 35953.95348 -63761.510261
## 2016.1781 -3475.441260 -43004.997238 36054.11472 -63930.680147
## 2016.1808 -3481.761609 -43117.894871 36154.37165 -64099.996387
## 2016.1836 -3488.081958 -43230.888116 36254.72420 -64269.458852
## 2016.1863 -3494.402306 -43343.976885 36355.17227 -64439.067409
## 2016.1890 -3500.722655 -43457.161094 36455.71578 -64608.821929
## 2016.1918 -3507.043004 -43570.440658 36556.35465 -64778.722280
## 2016.1945 -3513.363352 -43683.815491 36657.08879 -64948.768334
## 2016.1973 -3519.683701 -43797.285508 36757.91811 -65118.959960
## 2016.2000 -3526.004050 -43910.850626 36858.84253 -65289.297030
## 2016.2027 -3532.324398 -44024.510761 36959.86196 -65459.779414
## 2016.2055 -3538.644747 -44138.265827 37060.97633 -65630.406984
## 2016.2082 -3544.965096 -44252.115741 37162.18555 -65801.179612
## 2016.2110 -3551.285444 -44366.060420 37263.48953 -65972.097170
## 2016.2137 -3557.605793 -44480.099780 37364.88819 -66143.159530
## 2016.2164 -3563.926142 -44594.233738 37466.38145 -66314.366566
## 2016.2192 -3570.246490 -44708.462212 37567.96923 -66485.718150
## 2016.2219 -3576.566839 -44822.785118 37669.65144 -66657.214156
## 2016.2247 -3582.887188 -44937.202374 37771.42800 -66828.854458
## 2016.2274 -3589.207537 -45051.713897 37873.29882 -67000.638930
## 2016.2301 -3595.527885 -45166.319607 37975.26384 -67172.567447
## 2016.2329 -3601.848234 -45281.019420 38077.32295 -67344.639882
## 2016.2356 -3608.168583 -45395.813255 38179.47609 -67516.856113
## 2016.2384 -3614.488931 -45510.701030 38281.72317 -67689.216013
## 2016.2411 -3620.809280 -45625.682666 38384.06411 -67861.719459
## 2016.2438 -3627.129629 -45740.758080 38486.49882 -68034.366326
## 2016.2466 -3633.449977 -45855.927191 38589.02724 -68207.156492
## 2016.2493 -3639.770326 -45971.189920 38691.64927 -68380.089833
## 2016.2521 -3646.090675 -46086.546185 38794.36484 -68553.166226
## 2016.2548 -3652.411023 -46201.995907 38897.17386 -68726.385549
## 2016.2575 -3658.731372 -46317.539006 39000.07626 -68899.747678
## 2016.2603 -3665.051721 -46433.175401 39103.07196 -69073.252493
## 2016.2630 -3671.372069 -46548.905014 39206.16087 -69246.899872
## 2016.2658 -3677.692418 -46664.727764 39309.34293 -69420.689692
## 2016.2685 -3684.012767 -46780.643573 39412.61804 -69594.621834
## 2016.2712 -3690.333116 -46896.652363 39515.98613 -69768.696176
## 2016.2740 -3696.653464 -47012.754053 39619.44712 -69942.912598
## 2016.2767 -3702.973813 -47128.948566 39723.00094 -70117.270980
## 2016.2795 -3709.294162 -47245.235822 39826.64750 -70291.771201
## 2016.2822 -3715.614510 -47361.615745 39930.38672 -70466.413144
## 2016.2849 -3721.934859 -47478.088256 40034.21854 -70641.196687
## 2016.2877 -3728.255208 -47594.653278 40138.14286 -70816.121713
## 2016.2904 -3734.575556 -47711.310732 40242.15962 -70991.188102
## 2016.2932 -3740.895905 -47828.060541 40346.26873 -71166.395737
## 2016.2959 -3747.216254 -47944.902629 40450.47012 -71341.744499
## 2016.2986 -3753.536602 -48061.836917 40554.76371 -71517.234271
## 2016.3014 -3759.856951 -48178.863331 40659.14943 -71692.864934
## 2016.3041 -3766.177300 -48295.981792 40763.62719 -71868.636373
## 2016.3068 -3772.497648 -48413.192224 40868.19693 -72044.548470
## 2016.3096 -3778.817997 -48530.494552 40972.85856 -72220.601108
## 2016.3123 -3785.138346 -48647.888699 41077.61201 -72396.794172
## 2016.3151 -3791.458694 -48765.374589 41182.45720 -72573.127545
## 2016.3178 -3797.779043 -48882.952147 41287.39406 -72749.601112
## 2016.3205 -3804.099392 -49000.621297 41392.42251 -72926.214757
## 2016.3233 -3810.419741 -49118.381964 41497.54248 -73102.968365
## 2016.3260 -3816.740089 -49236.234073 41602.75389 -73279.861821
## 2016.3288 -3823.060438 -49354.177548 41708.05667 -73456.895011
## 2016.3315 -3829.380787 -49472.212316 41813.45074 -73634.067821
## 2016.3342 -3835.701135 -49590.338302 41918.93603 -73811.380135
## 2016.3370 -3842.021484 -49708.555431 42024.51246 -73988.831842
## 2016.3397 -3848.341833 -49826.863629 42130.17996 -74166.422826
## 2016.3425 -3854.662181 -49945.262822 42235.93846 -74344.152976
## 2016.3452 -3860.982530 -50063.752937 42341.78788 -74522.022178
## 2016.3479 -3867.302879 -50182.333899 42447.72814 -74700.030319
## 2016.3507 -3873.623227 -50301.005636 42553.75918 -74878.177287
## 2016.3534 -3879.943576 -50419.768073 42659.88092 -75056.462971
## 2016.3562 -3886.263925 -50538.621138 42766.09329 -75234.887258
## 2016.3589 -3892.584273 -50657.564758 42872.39621 -75413.450037
## 2016.3616 -3898.904622 -50776.598860 42978.78962 -75592.151196
## 2016.3644 -3905.224971 -50895.723372 43085.27343 -75770.990624
## 2016.3671 -3911.545319 -51014.938221 43191.84758 -75949.968212
## 2016.3699 -3917.865668 -51134.243335 43298.51200 -76129.083848
## 2016.3726 -3924.186017 -51253.638642 43405.26661 -76308.337421
## 2016.3753 -3930.506366 -51373.124070 43512.11134 -76487.728823
## 2016.3781 -3936.826714 -51492.699547 43619.04612 -76667.257944
## 2016.3808 -3943.147063 -51612.365002 43726.07088 -76846.924674
## 2016.3836 -3949.467412 -51732.120363 43833.18554 -77026.728903
## 2016.3863 -3955.787760 -51851.965559 43940.39004 -77206.670524
## 2016.3890 -3962.108109 -51971.900520 44047.68430 -77386.749427
## 2016.3918 -3968.428458 -52091.925174 44155.06826 -77566.965504
## 2016.3945 -3974.748806 -52212.039450 44262.54184 -77747.318647
## 2016.3973 -3981.069155 -52332.243278 44370.10497 -77927.808748
## 2016.4000 -3987.389504 -52452.536588 44477.75758 -78108.435699
## 2016.4027 -3993.709852 -52572.919310 44585.49961 -78289.199394
## 2016.4055 -4000.030201 -52693.391373 44693.33097 -78470.099724
## 2016.4082 -4006.350550 -52813.952708 44801.25161 -78651.136583
## 2016.4110 -4012.670898 -52934.603244 44909.26145 -78832.309865
## 2016.4137 -4018.991247 -53055.342913 45017.36042 -79013.619464
## 2016.4164 -4025.311596 -53176.171645 45125.54845 -79195.065272
## 2016.4192 -4031.631944 -53297.089370 45233.82548 -79376.647184
## 2016.4219 -4037.952293 -53418.096021 45342.19143 -79558.365095
## 2016.4247 -4044.272642 -53539.191527 45450.64624 -79740.218899
## 2016.4274 -4050.592991 -53660.375820 45559.18984 -79922.208492
## 2016.4301 -4056.913339 -53781.648831 45667.82215 -80104.333767
## 2016.4329 -4063.233688 -53903.010493 45776.54312 -80286.594621
## 2016.4356 -4069.554037 -54024.460736 45885.35266 -80468.990949
## 2016.4384 -4075.874385 -54145.999493 45994.25072 -80651.522647
## 2016.4411 -4082.194734 -54267.626696 46103.23723 -80834.189612
## 2016.4438 -4088.515083 -54389.342277 46212.31211 -81016.991738
## 2016.4466 -4094.835431 -54511.146168 46321.47531 -81199.928924
## 2016.4493 -4101.155780 -54633.038302 46430.72674 -81383.001065
## 2016.4521 -4107.476129 -54755.018611 46540.06635 -81566.208060
## 2016.4548 -4113.796477 -54877.087029 46649.49407 -81749.549804
## 2016.4575 -4120.116826 -54999.243488 46759.00984 -81933.026196
## 2016.4603 -4126.437175 -55121.487922 46868.61357 -82116.637133
## 2016.4630 -4132.757523 -55243.820263 46978.30522 -82300.382514
## 2016.4658 -4139.077872 -55366.240445 47088.08470 -82484.262236
## 2016.4685 -4145.398221 -55488.748403 47197.95196 -82668.276198
## 2016.4712 -4151.718570 -55611.344069 47307.90693 -82852.424298
## 2016.4740 -4158.038918 -55734.027377 47417.94954 -83036.706436
## 2016.4767 -4164.359267 -55856.798261 47528.07973 -83221.122511
## 2016.4795 -4170.679616 -55979.656657 47638.29743 -83405.672422
## 2016.4822 -4176.999964 -56102.602497 47748.60257 -83590.356068
## 2016.4849 -4183.320313 -56225.635717 47858.99509 -83775.173349
## 2016.4877 -4189.640662 -56348.756250 47969.47493 -83960.124166
## 2016.4904 -4195.961010 -56471.964033 48080.04201 -84145.208419
## 2016.4932 -4202.281359 -56595.258999 48190.69628 -84330.426007
## 2016.4959 -4208.601708 -56718.641085 48301.43767 -84515.776833
## 2016.4986 -4214.922056 -56842.110224 48412.26611 -84701.260796
## 2016.5014 -4221.242405 -56965.666353 48523.18154 -84886.877798
## 2016.5041 -4227.562754 -57089.309407 48634.18390 -85072.627740
## 2016.5068 -4233.883102 -57213.039321 48745.27312 -85258.510524
## 2016.5096 -4240.203451 -57336.856031 48856.44913 -85444.526051
## 2016.5123 -4246.523800 -57460.759474 48967.71187 -85630.674224
## 2016.5151 -4252.844148 -57584.749586 49079.06129 -85816.954945
## 2016.5178 -4259.164497 -57708.826301 49190.49731 -86003.368116
## 2016.5205 -4265.484846 -57832.989558 49302.01987 -86189.913640
## 2016.5233 -4271.805195 -57957.239292 49413.62890 -86376.591420
## 2016.5260 -4278.125543 -58081.575441 49525.32435 -86563.401359
## 2016.5288 -4284.445892 -58205.997940 49637.10616 -86750.343360
## 2016.5315 -4290.766241 -58330.506726 49748.97425 -86937.417326
## 2016.5342 -4297.086589 -58455.101738 49860.92856 -87124.623163
## 2016.5370 -4303.406938 -58579.782912 49972.96904 -87311.960772
## 2016.5397 -4309.727287 -58704.550184 50085.09561 -87499.430059
## 2016.5425 -4316.047635 -58829.403494 50197.30822 -87687.030928
## 2016.5452 -4322.367984 -58954.342778 50309.60681 -87874.763283
## 2016.5479 -4328.688333 -59079.367974 50421.99131 -88062.627029
## 2016.5507 -4335.008681 -59204.479020 50534.46166 -88250.622071
## 2016.5534 -4341.329030 -59329.675853 50647.01779 -88438.748315
## 2016.5562 -4347.649379 -59454.958413 50759.65966 -88627.005666
## 2016.5589 -4353.969727 -59580.326638 50872.38718 -88815.394029
## 2016.5616 -4360.290076 -59705.780465 50985.20031 -89003.913310
## 2016.5644 -4366.610425 -59831.319833 51098.09898 -89192.563415
## 2016.5671 -4372.930773 -59956.944681 51211.08313 -89381.344250
## 2016.5699 -4379.251122 -60082.654948 51324.15270 -89570.255722
## 2016.5726 -4385.571471 -60208.450573 51437.30763 -89759.297738
## 2016.5753 -4391.891820 -60334.331494 51550.54786 -89948.470203
## 2016.5781 -4398.212168 -60460.297652 51663.87332 -90137.773026
## 2016.5808 -4404.532517 -60586.348984 51777.28395 -90327.206113
## 2016.5836 -4410.852866 -60712.485432 51890.77970 -90516.769371
## 2016.5863 -4417.173214 -60838.706933 52004.36050 -90706.462709
## 2016.5890 -4423.493563 -60965.013429 52118.02630 -90896.286034
## 2016.5918 -4429.813912 -61091.404858 52231.77703 -91086.239254
## 2016.5945 -4436.134260 -61217.881161 52345.61264 -91276.322277
## 2016.5973 -4442.454609 -61344.442279 52459.53306 -91466.535012
## 2016.6000 -4448.774958 -61471.088150 52573.53823 -91656.877368
## 2016.6027 -4455.095306 -61597.818715 52687.62810 -91847.349252
## 2016.6055 -4461.415655 -61724.633916 52801.80261 -92037.950574
## 2016.6082 -4467.736004 -61851.533692 52916.06168 -92228.681243
## 2016.6110 -4474.056352 -61978.517984 53030.40528 -92419.541168
## 2016.6137 -4480.376701 -62105.586733 53144.83333 -92610.530260
## 2016.6164 -4486.697050 -62232.739881 53259.34578 -92801.648427
## 2016.6192 -4493.017399 -62359.977367 53373.94257 -92992.895580
## 2016.6219 -4499.337747 -62487.299134 53488.62364 -93184.271628
## 2016.6247 -4505.658096 -62614.705123 53603.38893 -93375.776482
## 2016.6274 -4511.978445 -62742.195274 53718.23839 -93567.410053
## 2016.6301 -4518.298793 -62869.769531 53833.17194 -93759.172251
## 2016.6329 -4524.619142 -62997.427833 53948.18955 -93951.062987
## 2016.6356 -4530.939491 -63125.170124 54063.29114 -94143.082171
## 2016.6384 -4537.259839 -63252.996346 54178.47667 -94335.229716
## 2016.6411 -4543.580188 -63380.906439 54293.74606 -94527.505532
## 2016.6438 -4549.900537 -63508.900347 54409.09927 -94719.909532
## 2016.6466 -4556.220885 -63636.978012 54524.53624 -94912.441626
## 2016.6493 -4562.541234 -63765.139376 54640.05691 -95105.101728
## 2016.6521 -4568.861583 -63893.384381 54755.66122 -95297.889748
## 2016.6548 -4575.181931 -64021.712971 54871.34911 -95490.805599
## Hi 95
## 2014.6575 42.41016
## 2014.6603 45.31773
## 2014.6630 50.74216
## 2014.6658 59.11679
## 2014.6685 67.52125
## 2014.6712 79.07078
## 2014.6740 90.42980
## 2014.6767 104.35579
## 2014.6795 118.39896
## 2014.6822 134.38428
## 2014.6849 150.80824
## 2014.6877 168.70153
## 2014.6904 187.24478
## 2014.6932 206.94719
## 2014.6959 227.40492
## 2014.6986 248.83226
## 2014.7014 271.04890
## 2014.7041 294.12187
## 2014.7068 317.97853
## 2014.7096 342.62194
## 2014.7123 368.02525
## 2014.7151 394.16917
## 2014.7178 421.04317
## 2014.7205 448.62378
## 2014.7233 476.90447
## 2014.7260 505.86415
## 2014.7288 535.49614
## 2014.7315 565.78310
## 2014.7342 596.71742
## 2014.7370 628.28510
## 2014.7397 660.47787
## 2014.7425 693.28422
## 2014.7452 726.69574
## 2014.7479 760.70263
## 2014.7507 795.29669
## 2014.7534 830.46933
## 2014.7562 866.21275
## 2014.7589 902.51924
## 2014.7616 939.38147
## 2014.7644 976.79239
## 2014.7671 1014.74519
## 2014.7699 1053.23333
## 2014.7726 1092.25048
## 2014.7753 1131.79054
## 2014.7781 1171.84761
## 2014.7808 1212.41599
## 2014.7836 1253.49018
## 2014.7863 1295.06482
## 2014.7890 1337.13474
## 2014.7918 1379.69493
## 2014.7945 1422.74051
## 2014.7973 1466.26677
## 2014.8000 1510.26910
## 2014.8027 1554.74305
## 2014.8055 1599.68428
## 2014.8082 1645.08856
## 2014.8110 1690.95180
## 2014.8137 1737.26998
## 2014.8164 1784.03921
## 2014.8192 1831.25569
## 2014.8219 1878.91571
## 2014.8247 1927.01566
## 2014.8274 1975.55202
## 2014.8301 2024.52133
## 2014.8329 2073.92023
## 2014.8356 2123.74544
## 2014.8384 2173.99374
## 2014.8411 2224.66200
## 2014.8438 2275.74713
## 2014.8466 2327.24615
## 2014.8493 2379.15609
## 2014.8521 2431.47409
## 2014.8548 2484.19732
## 2014.8575 2537.32303
## 2014.8603 2590.84850
## 2014.8630 2644.77108
## 2014.8658 2699.08818
## 2014.8685 2753.79724
## 2014.8712 2808.89575
## 2014.8740 2864.38128
## 2014.8767 2920.25140
## 2014.8795 2976.50376
## 2014.8822 3033.13603
## 2014.8849 3090.14594
## 2014.8877 3147.53124
## 2014.8904 3205.28974
## 2014.8932 3263.41928
## 2014.8959 3321.91773
## 2014.8986 3380.78300
## 2014.9014 3440.01305
## 2014.9041 3499.60584
## 2014.9068 3559.55941
## 2014.9096 3619.87179
## 2014.9123 3680.54107
## 2014.9151 3741.56535
## 2014.9178 3802.94276
## 2014.9205 3864.67149
## 2014.9233 3926.74972
## 2014.9260 3989.17567
## 2014.9288 4051.94760
## 2014.9315 4115.06378
## 2014.9342 4178.52252
## 2014.9370 4242.32214
## 2014.9397 4306.46099
## 2014.9425 4370.93745
## 2014.9452 4435.74991
## 2014.9479 4500.89679
## 2014.9507 4566.37654
## 2014.9534 4632.18763
## 2014.9562 4698.32852
## 2014.9589 4764.79774
## 2014.9616 4831.59381
## 2014.9644 4898.71527
## 2014.9671 4966.16069
## 2014.9699 5033.92864
## 2014.9726 5102.01774
## 2014.9753 5170.42660
## 2014.9781 5239.15387
## 2014.9808 5308.19818
## 2014.9836 5377.55823
## 2014.9863 5447.23269
## 2014.9890 5517.22027
## 2014.9918 5587.51969
## 2014.9945 5658.12968
## 2014.9973 5729.04900
## 2015.0000 5800.27642
## 2015.0027 5871.81071
## 2015.0055 5943.65067
## 2015.0082 6015.79511
## 2015.0110 6088.24285
## 2015.0137 6160.99272
## 2015.0164 6234.04359
## 2015.0192 6307.39431
## 2015.0219 6381.04375
## 2015.0247 6454.99081
## 2015.0274 6529.23438
## 2015.0301 6603.77339
## 2015.0329 6678.60674
## 2015.0356 6753.73339
## 2015.0384 6829.15227
## 2015.0411 6904.86235
## 2015.0438 6980.86259
## 2015.0466 7057.15198
## 2015.0493 7133.72951
## 2015.0521 7210.59417
## 2015.0548 7287.74499
## 2015.0575 7365.18099
## 2015.0603 7442.90119
## 2015.0630 7520.90464
## 2015.0658 7599.19039
## 2015.0685 7677.75750
## 2015.0712 7756.60504
## 2015.0740 7835.73210
## 2015.0767 7915.13776
## 2015.0795 7994.82111
## 2015.0822 8074.78127
## 2015.0849 8155.01735
## 2015.0877 8235.52847
## 2015.0904 8316.31377
## 2015.0932 8397.37238
## 2015.0959 8478.70345
## 2015.0986 8560.30614
## 2015.1014 8642.17961
## 2015.1041 8724.32303
## 2015.1068 8806.73558
## 2015.1096 8889.41645
## 2015.1123 8972.36483
## 2015.1151 9055.57992
## 2015.1178 9139.06093
## 2015.1205 9222.80707
## 2015.1233 9306.81757
## 2015.1260 9391.09165
## 2015.1288 9475.62855
## 2015.1315 9560.42752
## 2015.1342 9645.48779
## 2015.1370 9730.80863
## 2015.1397 9816.38929
## 2015.1425 9902.22905
## 2015.1452 9988.32718
## 2015.1479 10074.68295
## 2015.1507 10161.29565
## 2015.1534 10248.16458
## 2015.1562 10335.28903
## 2015.1589 10422.66831
## 2015.1616 10510.30172
## 2015.1644 10598.18858
## 2015.1671 10686.32820
## 2015.1699 10774.71992
## 2015.1726 10863.36307
## 2015.1753 10952.25697
## 2015.1781 11041.40098
## 2015.1808 11130.79444
## 2015.1836 11220.43669
## 2015.1863 11310.32710
## 2015.1890 11400.46503
## 2015.1918 11490.84985
## 2015.1945 11581.48092
## 2015.1973 11672.35762
## 2015.2000 11763.47933
## 2015.2027 11854.84545
## 2015.2055 11946.45535
## 2015.2082 12038.30843
## 2015.2110 12130.40410
## 2015.2137 12222.74175
## 2015.2164 12315.32080
## 2015.2192 12408.14065
## 2015.2219 12501.20072
## 2015.2247 12594.50044
## 2015.2274 12688.03923
## 2015.2301 12781.81651
## 2015.2329 12875.83172
## 2015.2356 12970.08430
## 2015.2384 13064.57369
## 2015.2411 13159.29933
## 2015.2438 13254.26067
## 2015.2466 13349.45717
## 2015.2493 13444.88828
## 2015.2521 13540.55346
## 2015.2548 13636.45218
## 2015.2575 13732.58390
## 2015.2603 13828.94809
## 2015.2630 13925.54424
## 2015.2658 14022.37181
## 2015.2685 14119.43030
## 2015.2712 14216.71917
## 2015.2740 14314.23794
## 2015.2767 14411.98608
## 2015.2795 14509.96309
## 2015.2822 14608.16847
## 2015.2849 14706.60172
## 2015.2877 14805.26236
## 2015.2904 14904.14988
## 2015.2932 15003.26380
## 2015.2959 15102.60363
## 2015.2986 15202.16889
## 2015.3014 15301.95911
## 2015.3041 15401.97380
## 2015.3068 15502.21250
## 2015.3096 15602.67473
## 2015.3123 15703.36003
## 2015.3151 15804.26793
## 2015.3178 15905.39797
## 2015.3205 16006.74970
## 2015.3233 16108.32265
## 2015.3260 16210.11638
## 2015.3288 16312.13044
## 2015.3315 16414.36437
## 2015.3342 16516.81774
## 2015.3370 16619.49009
## 2015.3397 16722.38101
## 2015.3425 16825.49003
## 2015.3452 16928.81674
## 2015.3479 17032.36071
## 2015.3507 17136.12149
## 2015.3534 17240.09867
## 2015.3562 17344.29182
## 2015.3589 17448.70053
## 2015.3616 17553.32436
## 2015.3644 17658.16292
## 2015.3671 17763.21577
## 2015.3699 17868.48252
## 2015.3726 17973.96274
## 2015.3753 18079.65604
## 2015.3781 18185.56202
## 2015.3808 18291.68025
## 2015.3836 18398.01036
## 2015.3863 18504.55194
## 2015.3890 18611.30459
## 2015.3918 18718.26792
## 2015.3945 18825.44154
## 2015.3973 18932.82507
## 2015.4000 19040.41811
## 2015.4027 19148.22027
## 2015.4055 19256.23119
## 2015.4082 19364.45047
## 2015.4110 19472.87774
## 2015.4137 19581.51262
## 2015.4164 19690.35474
## 2015.4192 19799.40373
## 2015.4219 19908.65921
## 2015.4247 20018.12082
## 2015.4274 20127.78819
## 2015.4301 20237.66096
## 2015.4329 20347.73876
## 2015.4356 20458.02123
## 2015.4384 20568.50802
## 2015.4411 20679.19877
## 2015.4438 20790.09311
## 2015.4466 20901.19071
## 2015.4493 21012.49121
## 2015.4521 21123.99426
## 2015.4548 21235.69951
## 2015.4575 21347.60662
## 2015.4603 21459.71523
## 2015.4630 21572.02502
## 2015.4658 21684.53564
## 2015.4685 21797.24675
## 2015.4712 21910.15801
## 2015.4740 22023.26908
## 2015.4767 22136.57965
## 2015.4795 22250.08936
## 2015.4822 22363.79790
## 2015.4849 22477.70492
## 2015.4877 22591.81012
## 2015.4904 22706.11315
## 2015.4932 22820.61370
## 2015.4959 22935.31144
## 2015.4986 23050.20606
## 2015.5014 23165.29723
## 2015.5041 23280.58464
## 2015.5068 23396.06796
## 2015.5096 23511.74689
## 2015.5123 23627.62112
## 2015.5151 23743.69032
## 2015.5178 23859.95419
## 2015.5205 23976.41243
## 2015.5233 24093.06472
## 2015.5260 24209.91076
## 2015.5288 24326.95024
## 2015.5315 24444.18286
## 2015.5342 24561.60833
## 2015.5370 24679.22633
## 2015.5397 24797.03658
## 2015.5425 24915.03877
## 2015.5452 25033.23261
## 2015.5479 25151.61780
## 2015.5507 25270.19405
## 2015.5534 25388.96107
## 2015.5562 25507.91857
## 2015.5589 25627.06626
## 2015.5616 25746.40385
## 2015.5644 25865.93105
## 2015.5671 25985.64759
## 2015.5699 26105.55317
## 2015.5726 26225.64751
## 2015.5753 26345.93033
## 2015.5781 26466.40135
## 2015.5808 26587.06030
## 2015.5836 26707.90689
## 2015.5863 26828.94085
## 2015.5890 26950.16190
## 2015.5918 27071.56977
## 2015.5945 27193.16419
## 2015.5973 27314.94487
## 2015.6000 27436.91157
## 2015.6027 27559.06400
## 2015.6055 27681.40189
## 2015.6082 27803.92498
## 2015.6110 27926.63301
## 2015.6137 28049.52570
## 2015.6164 28172.60281
## 2015.6192 28295.86405
## 2015.6219 28419.30917
## 2015.6247 28542.93792
## 2015.6274 28666.75003
## 2015.6301 28790.74524
## 2015.6329 28914.92330
## 2015.6356 29039.28395
## 2015.6384 29163.82694
## 2015.6411 29288.55201
## 2015.6438 29413.45891
## 2015.6466 29538.54739
## 2015.6493 29663.81720
## 2015.6521 29789.26809
## 2015.6548 29914.89980
## 2015.6575 30040.71210
## 2015.6603 30166.70474
## 2015.6630 30292.87746
## 2015.6658 30419.23004
## 2015.6685 30545.76221
## 2015.6712 30672.47375
## 2015.6740 30799.36440
## 2015.6767 30926.43394
## 2015.6795 31053.68211
## 2015.6822 31181.10868
## 2015.6849 31308.71342
## 2015.6877 31436.49608
## 2015.6904 31564.45643
## 2015.6932 31692.59423
## 2015.6959 31820.90926
## 2015.6986 31949.40128
## 2015.7014 32078.07005
## 2015.7041 32206.91535
## 2015.7068 32335.93694
## 2015.7096 32465.13460
## 2015.7123 32594.50809
## 2015.7151 32724.05719
## 2015.7178 32853.78168
## 2015.7205 32983.68133
## 2015.7233 33113.75590
## 2015.7260 33244.00519
## 2015.7288 33374.42896
## 2015.7315 33505.02699
## 2015.7342 33635.79907
## 2015.7370 33766.74496
## 2015.7397 33897.86445
## 2015.7425 34029.15733
## 2015.7452 34160.62337
## 2015.7479 34292.26235
## 2015.7507 34424.07407
## 2015.7534 34556.05830
## 2015.7562 34688.21483
## 2015.7589 34820.54344
## 2015.7616 34953.04392
## 2015.7644 35085.71606
## 2015.7671 35218.55965
## 2015.7699 35351.57448
## 2015.7726 35484.76033
## 2015.7753 35618.11700
## 2015.7781 35751.64428
## 2015.7808 35885.34195
## 2015.7836 36019.20982
## 2015.7863 36153.24768
## 2015.7890 36287.45532
## 2015.7918 36421.83253
## 2015.7945 36556.37911
## 2015.7973 36691.09487
## 2015.8000 36825.97959
## 2015.8027 36961.03307
## 2015.8055 37096.25512
## 2015.8082 37231.64553
## 2015.8110 37367.20410
## 2015.8137 37502.93063
## 2015.8164 37638.82493
## 2015.8192 37774.88680
## 2015.8219 37911.11603
## 2015.8247 38047.51245
## 2015.8274 38184.07583
## 2015.8301 38320.80601
## 2015.8329 38457.70277
## 2015.8356 38594.76593
## 2015.8384 38731.99529
## 2015.8411 38869.39066
## 2015.8438 39006.95185
## 2015.8466 39144.67867
## 2015.8493 39282.57093
## 2015.8521 39420.62843
## 2015.8548 39558.85100
## 2015.8575 39697.23843
## 2015.8603 39835.79055
## 2015.8630 39974.50717
## 2015.8658 40113.38810
## 2015.8685 40252.43315
## 2015.8712 40391.64214
## 2015.8740 40531.01489
## 2015.8767 40670.55120
## 2015.8795 40810.25091
## 2015.8822 40950.11382
## 2015.8849 41090.13975
## 2015.8877 41230.32853
## 2015.8904 41370.67996
## 2015.8932 41511.19388
## 2015.8959 41651.87010
## 2015.8986 41792.70844
## 2015.9014 41933.70873
## 2015.9041 42074.87078
## 2015.9068 42216.19442
## 2015.9096 42357.67947
## 2015.9123 42499.32576
## 2015.9151 42641.13311
## 2015.9178 42783.10134
## 2015.9205 42925.23029
## 2015.9233 43067.51977
## 2015.9260 43209.96962
## 2015.9288 43352.57966
## 2015.9315 43495.34972
## 2015.9342 43638.27962
## 2015.9370 43781.36921
## 2015.9397 43924.61830
## 2015.9425 44068.02672
## 2015.9452 44211.59432
## 2015.9479 44355.32091
## 2015.9507 44499.20633
## 2015.9534 44643.25041
## 2015.9562 44787.45299
## 2015.9589 44931.81390
## 2015.9616 45076.33297
## 2015.9644 45221.01004
## 2015.9671 45365.84493
## 2015.9699 45510.83750
## 2015.9726 45655.98756
## 2015.9753 45801.29497
## 2015.9781 45946.75955
## 2015.9808 46092.38114
## 2015.9836 46238.15959
## 2015.9863 46384.09472
## 2015.9890 46530.18639
## 2015.9918 46676.43442
## 2015.9945 46822.83866
## 2015.9973 46969.39894
## 2016.0000 47116.11512
## 2016.0027 47262.98703
## 2016.0055 47410.01450
## 2016.0082 47557.19740
## 2016.0110 47704.53555
## 2016.0137 47852.02880
## 2016.0164 47999.67699
## 2016.0192 48147.47998
## 2016.0219 48295.43760
## 2016.0247 48443.54969
## 2016.0274 48591.81611
## 2016.0301 48740.23671
## 2016.0329 48888.81131
## 2016.0356 49037.53978
## 2016.0384 49186.42197
## 2016.0411 49335.45771
## 2016.0438 49484.64686
## 2016.0466 49633.98926
## 2016.0493 49783.48478
## 2016.0521 49933.13324
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## 2016.0575 50232.88844
## 2016.0603 50382.99488
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## 2016.0740 51135.80948
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## 2016.3041 64336.28177
## 2016.3068 64499.55317
## 2016.3096 64662.96511
## 2016.3123 64826.51748
## 2016.3151 64990.21016
## 2016.3178 65154.04303
## 2016.3205 65318.01597
## 2016.3233 65482.12888
## 2016.3260 65646.38164
## 2016.3288 65810.77414
## 2016.3315 65975.30625
## 2016.3342 66139.97786
## 2016.3370 66304.78887
## 2016.3397 66469.73916
## 2016.3425 66634.82861
## 2016.3452 66800.05712
## 2016.3479 66965.42456
## 2016.3507 67130.93083
## 2016.3534 67296.57582
## 2016.3562 67462.35941
## 2016.3589 67628.28149
## 2016.3616 67794.34195
## 2016.3644 67960.54068
## 2016.3671 68126.87757
## 2016.3699 68293.35251
## 2016.3726 68459.96539
## 2016.3753 68626.71609
## 2016.3781 68793.60452
## 2016.3808 68960.63055
## 2016.3836 69127.79408
## 2016.3863 69295.09500
## 2016.3890 69462.53321
## 2016.3918 69630.10859
## 2016.3945 69797.82103
## 2016.3973 69965.67044
## 2016.4000 70133.65669
## 2016.4027 70301.77969
## 2016.4055 70470.03932
## 2016.4082 70638.43548
## 2016.4110 70806.96807
## 2016.4137 70975.63697
## 2016.4164 71144.44208
## 2016.4192 71313.38330
## 2016.4219 71482.46051
## 2016.4247 71651.67362
## 2016.4274 71821.02251
## 2016.4301 71990.50709
## 2016.4329 72160.12725
## 2016.4356 72329.88288
## 2016.4384 72499.77388
## 2016.4411 72669.80014
## 2016.4438 72839.96157
## 2016.4466 73010.25806
## 2016.4493 73180.68951
## 2016.4521 73351.25580
## 2016.4548 73521.95685
## 2016.4575 73692.79254
## 2016.4603 73863.76278
## 2016.4630 74034.86747
## 2016.4658 74206.10649
## 2016.4685 74377.47976
## 2016.4712 74548.98716
## 2016.4740 74720.62860
## 2016.4767 74892.40398
## 2016.4795 75064.31319
## 2016.4822 75236.35614
## 2016.4849 75408.53272
## 2016.4877 75580.84284
## 2016.4904 75753.28640
## 2016.4932 75925.86329
## 2016.4959 76098.57342
## 2016.4986 76271.41668
## 2016.5014 76444.39299
## 2016.5041 76617.50223
## 2016.5068 76790.74432
## 2016.5096 76964.11915
## 2016.5123 77137.62662
## 2016.5151 77311.26665
## 2016.5178 77485.03912
## 2016.5205 77658.94395
## 2016.5233 77832.98103
## 2016.5260 78007.15027
## 2016.5288 78181.45158
## 2016.5315 78355.88485
## 2016.5342 78530.44998
## 2016.5370 78705.14690
## 2016.5397 78879.97549
## 2016.5425 79054.93566
## 2016.5452 79230.02731
## 2016.5479 79405.25036
## 2016.5507 79580.60471
## 2016.5534 79756.09026
## 2016.5562 79931.70691
## 2016.5589 80107.45457
## 2016.5616 80283.33316
## 2016.5644 80459.34257
## 2016.5671 80635.48270
## 2016.5699 80811.75348
## 2016.5726 80988.15480
## 2016.5753 81164.68656
## 2016.5781 81341.34869
## 2016.5808 81518.14108
## 2016.5836 81695.06364
## 2016.5863 81872.11628
## 2016.5890 82049.29891
## 2016.5918 82226.61143
## 2016.5945 82404.05376
## 2016.5973 82581.62579
## 2016.6000 82759.32745
## 2016.6027 82937.15864
## 2016.6055 83115.11926
## 2016.6082 83293.20924
## 2016.6110 83471.42846
## 2016.6137 83649.77686
## 2016.6164 83828.25433
## 2016.6192 84006.86078
## 2016.6219 84185.59613
## 2016.6247 84364.46029
## 2016.6274 84543.45316
## 2016.6301 84722.57466
## 2016.6329 84901.82470
## 2016.6356 85081.20319
## 2016.6384 85260.71004
## 2016.6411 85440.34516
## 2016.6438 85620.10846
## 2016.6466 85799.99986
## 2016.6493 85980.01926
## 2016.6521 86160.16658
## 2016.6548 86340.44174plot(forecast(fit,h=730))
bestfit <- list(aic=Inf)
for(K in seq(6)){
fit <- auto.arima(ts_wt,xreg=fourier(ts_wt,K=K),seasonal=TRUE)
if(fit[["aic"]] < bestfit[["aic"]]){
bestfit <- fit
bestK <- K
}
}
fc <- forecast(bestfit,xreg=fourier(AirPassengers,K=bestK,h=12))
plot(fc)