#install.packages("forecast")
library(forecast)
## Warning: package 'forecast' was built under R version 3.6.1
## Registered S3 method overwritten by 'xts':
## method from
## as.zoo.xts zoo
## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo
## Registered S3 methods overwritten by 'forecast':
## method from
## fitted.fracdiff fracdiff
## residuals.fracdiff fracdiff
airline<-scan("http://stat.ethz.ch/Teaching/Datasets/airline.dat")
is.numeric(airline)
## [1] TRUE
t<-ts(airline,start=c(1949,1),frequency =12)
par(mfrow=c(2,1))
plot(c(time(t)),airline,xlab="Time",type="l")
plot(c(time(t)),log(airline),xlab="Time",type="l")
f1<- 1:144 # f1이라는 변수에 trend에 해당하는 값을 기저로 넣음. f1=t인 선형 모형의 벡터값을 저장
f2<- rep(c(1, rep(0,11)), 12)
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="Residuals")
plot(trend,rnorm(144),type="l",main="Simulated data")
plot(trend,rnorm(144),type="l",main="More simulated normed data")
#install.packages("tseries")
library(tseries)
## Warning: package 'tseries' was built under R version 3.6.1
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: stationary
library(forecast)
auto.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=-474.77
fit<-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))
7/31
#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<-7
signal.1<-amp.1*sin(wav.1*x) #진폭 2 & 주기1인 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)
#시간영역대의 4개의 sine 함수 그래프
par(mfrow=c(1,4))
plot(x,signal.1,type='l', ylim=c(-5,5)) ; abline(h=0,lty=3) #진폭2 & 주기1인 사인함수
plot(x,signal.2,type='l', ylim=c(-5,5)) ; abline(h=0,lty=3) #진폭2 & 주기1인 사인함수
plot(x,signal.3,type='l', ylim=c(-5,5)) ; abline(h=0,lty=3) #진폭2 & 주기1인 사인함수
plot(x,signal.4,type='l', ylim=c(-5,5)) ; abline(h=0,lty=3) #진폭2 & 주기1인 사인함수
#4개의 sine함수 합하기
signal.1234<-signal.1+signal.2+signal.3+signal.4
head(signal.1234,n=30)
## [1] 0.000000 1.732524 3.409451 4.977626 6.388676 7.601110 8.582113
## [8] 9.308928 9.769772 9.964242 9.903193 9.608096 9.109903 8.447483
## [15] 7.665690 6.813167 5.939985 5.095231 4.324653 3.668482 3.159535
## [22] 2.821672 2.668701 2.703772 2.919285 3.297322 3.810579 4.423758
## [29] 5.095345 5.779687
#사인함수 4개 합친 그래프 그리기
par(mfrow=c(1,1))
plot(x,signal.1234,type='l',main="Sum of signal.1&2&3&4",
xlab="Time",ylab="Amplitude")
abline(h=0,lty=3)
library(stats)
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 그려보기
plot(fft_x_abs[1:20],type="h")
AirPassengers
#시계열자료 그래프
data("AirPassengers")
#ts_wt<-ts(AirPassengers,start= c(1949,12,1), frequency = 144)
ts.plot(AirPassengers)
#1차 차분 및 정상성 검증
diff1_ts_wt<-diff(AirPassengers,differences =1)
ts.plot(diff1_ts_wt)
adf.test(diff1_ts_wt,alternative = "stationary",k=0)
## Warning in adf.test(diff1_ts_wt, alternative = "stationary", k = 0): p-
## value smaller than printed p-value
##
## Augmented Dickey-Fuller Test
##
## data: diff1_ts_wt
## Dickey-Fuller = -8.5472, Lag order = 0, p-value = 0.01
## alternative hypothesis: stationary
#forecast를 통한 2년 예측
fit<-arima(AirPassengers,order=c(3,1,2))
forecast(fit,h=730)
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## Jan 1961 487.9315 451.40172 524.4612 432.0640401 543.7989
## Feb 1961 494.1334 433.36985 554.8970 401.2035572 587.0633
## Mar 1961 502.4650 431.51408 573.4159 393.9549469 610.9750
## Apr 1961 488.0990 412.62229 563.5757 372.6673473 603.5306
## May 1961 485.4128 408.56838 562.2572 367.8894017 602.9362
## Jun 1961 476.5540 398.85854 554.2494 357.7290699 595.3788
## Jul 1961 478.1021 399.74678 556.4574 358.2679691 597.9363
## Aug 1961 476.1002 396.75284 555.4476 354.7488636 597.4516
## Sep 1961 479.1438 398.63547 559.6522 356.0169153 602.2707
## Oct 1961 478.6610 396.72367 560.5983 353.3486719 603.9733
## Nov 1961 480.3461 396.99741 563.6948 352.8752743 607.8169
## Dec 1961 479.5761 394.79666 564.3555 349.9171291 609.2351
## Jan 1962 480.1688 394.06529 566.2722 348.4848737 611.8526
## Feb 1962 479.4670 392.06740 566.8667 345.8008272 613.1333
## Mar 1962 479.7664 391.13405 568.3987 344.2149364 615.3178
## Apr 1962 479.3822 389.52231 569.2421 341.9533518 616.8111
## May 1962 479.6310 388.57067 570.6914 340.3662254 618.8958
## Jun 1962 479.4511 387.18998 571.7122 338.3498821 620.5523
## Jul 1962 479.6269 386.18401 573.0697 336.7183570 622.5354
## Aug 1962 479.5213 384.90317 574.1395 334.8153481 624.2273
## Sep 1962 479.6202 383.84560 575.3948 333.1455743 626.0949
## Oct 1962 479.5472 382.62678 576.4676 331.3202135 627.7742
## Nov 1962 479.6008 381.55150 577.6501 329.6473413 629.5542
## Dec 1962 479.5541 380.38709 578.7211 327.8912611 631.2169
## Jan 1963 479.5866 379.31626 579.8569 326.2363449 632.9369
## Feb 1963 479.5595 378.19655 580.9225 324.5382306 634.5808
## Mar 1963 479.5804 377.13735 582.0234 322.9072760 636.2535
## Apr 1963 479.5647 376.05203 583.0774 321.2557119 637.8737
## May 1963 479.5776 375.00671 584.1485 319.6502254 639.5050
## Jun 1963 479.5680 373.94910 585.1870 318.0378137 641.0983
## Jul 1963 479.5756 372.91931 586.2320 316.4588550 642.6924
## Aug 1963 479.5697 371.88571 587.2537 314.8812465 644.2582
## Sep 1963 479.5742 370.87251 588.2760 313.3292867 645.8192
## Oct 1963 479.5706 369.86046 589.2808 311.7833971 647.3579
## Nov 1963 479.5734 368.86408 590.2827 310.2581083 648.8887
## Dec 1963 479.5712 367.87162 591.2708 308.7414268 650.4010
## Jan 1964 479.5729 366.89179 592.2540 307.2420088 651.9038
## Feb 1964 479.5716 365.91739 593.2258 305.7524819 653.3907
## Mar 1964 479.5726 364.95362 594.1917 304.2779740 654.8673
## Apr 1964 479.5718 363.99605 595.1476 302.8139224 656.3298
## May 1964 479.5725 363.04777 596.0972 301.3633279 657.7816
## Jun 1964 479.5720 362.10604 597.0379 299.9233319 659.2206
## Jul 1964 479.5724 361.17266 597.9720 298.4956535 660.6491
## Aug 1964 479.5721 360.24592 598.8982 297.0784704 662.0657
## Sep 1964 479.5723 359.32683 599.8177 295.6727328 663.4718
## Oct 1964 479.5721 358.41432 600.7299 294.2772519 664.8670
## Nov 1964 479.5723 357.50894 601.6356 292.8925195 666.2520
## Dec 1964 479.5721 356.60998 602.5343 291.5177365 667.6266
## Jan 1965 479.5722 355.71773 603.4267 290.1531232 668.9913
## Feb 1965 479.5722 354.83172 604.3126 288.7981213 670.3462
## Mar 1965 479.5722 353.95208 605.1924 287.4527921 671.6916
## Apr 1965 479.5722 353.07846 606.0659 286.1167279 673.0276
## May 1965 479.5722 352.21090 606.9335 284.7898983 674.3545
## Jun 1965 479.5722 351.34916 607.7952 283.4719913 675.6724
## Jul 1965 479.5722 350.49321 608.6512 282.1629249 676.9815
## Aug 1965 479.5722 349.64287 609.5015 280.8624492 678.2819
## Sep 1965 479.5722 348.79809 610.3463 279.5704551 679.5739
## Oct 1965 479.5722 347.95870 611.1857 278.2867338 680.8576
## Nov 1965 479.5722 347.12466 612.0197 277.0111635 682.1332
## Dec 1965 479.5722 346.29581 612.8486 275.7435634 683.4008
## Jan 1966 479.5722 345.47211 613.6723 274.4838074 684.6606
## Feb 1966 479.5722 344.65342 614.4910 273.2317350 685.9126
## Mar 1966 479.5722 343.83967 615.3047 271.9872201 687.1572
## Apr 1966 479.5722 343.03078 616.1136 270.7501176 688.3943
## May 1966 479.5722 342.22664 616.9177 269.5203044 689.6241
## Jun 1966 479.5722 341.42719 617.7172 268.2976470 690.8467
## Jul 1966 479.5722 340.63234 618.5120 267.0820267 692.0624
## Aug 1966 479.5722 339.84201 619.3024 265.8733197 693.2711
## Sep 1966 479.5722 339.05612 620.0883 264.6714122 694.4730
## Oct 1966 479.5722 338.27461 620.8698 263.4761885 695.6682
## Nov 1966 479.5722 337.49739 621.6470 262.2875400 696.8568
## Dec 1966 479.5722 336.72441 622.4200 261.1053582 698.0390
## Jan 1967 479.5722 335.95558 623.1888 259.9295396 699.2148
## Feb 1967 479.5722 335.19085 623.9535 258.7599817 700.3844
## Mar 1967 479.5722 334.43014 624.7142 257.5965863 701.5478
## Apr 1967 479.5722 333.67341 625.4710 256.4392564 702.7051
## May 1967 479.5722 332.92057 626.2238 255.2878985 703.8565
## Jun 1967 479.5722 332.17159 626.9728 254.1424209 705.0020
## Jul 1967 479.5722 331.42639 627.7180 253.0027345 706.1416
## Aug 1967 479.5722 330.68492 628.4595 251.8687523 707.2756
## Sep 1967 479.5722 329.94712 629.1973 250.7403895 708.4040
## Oct 1967 479.5722 329.21294 629.9314 249.6175634 709.5268
## Nov 1967 479.5722 328.48233 630.6620 248.5001933 710.6442
## Dec 1967 479.5722 327.75524 631.3891 247.3882004 711.7562
## Jan 1968 479.5722 327.03161 632.1128 246.2815078 712.8629
## Feb 1968 479.5722 326.31140 632.8330 245.1800404 713.9643
## Mar 1968 479.5722 325.59456 633.5498 244.0837250 715.0607
## Apr 1968 479.5722 324.88104 634.2633 242.9924898 716.1519
## May 1968 479.5722 324.17079 634.9736 241.9062650 717.2381
## Jun 1968 479.5722 323.46378 635.6806 240.8249821 718.3194
## Jul 1968 479.5722 322.75996 636.3844 239.7485743 719.3958
## Aug 1968 479.5722 322.05928 637.0851 238.6769762 720.4674
## Sep 1968 479.5722 321.36170 637.7827 237.6101239 721.5343
## Oct 1968 479.5722 320.66718 638.4772 236.5479550 722.5964
## Nov 1968 479.5722 319.97569 639.1687 235.4904083 723.6540
## Dec 1968 479.5722 319.28718 639.8572 234.4374239 724.7070
## Jan 1969 479.5722 318.60162 640.5428 233.3889434 725.7554
## Feb 1969 479.5722 317.91896 641.2254 232.3449094 726.7995
## Mar 1969 479.5722 317.23917 641.9052 231.3052658 727.8391
## Apr 1969 479.5722 316.56222 642.5822 230.2699577 728.8744
## May 1969 479.5722 315.88807 643.2563 229.2389313 729.9055
## Jun 1969 479.5722 315.21668 643.9277 228.2121339 730.9322
## Jul 1969 479.5722 314.54803 644.5964 227.1895140 731.9549
## Aug 1969 479.5722 313.88207 645.2623 226.1710208 732.9734
## Sep 1969 479.5722 313.21878 645.9256 225.1566050 733.9878
## Oct 1969 479.5722 312.55812 646.5863 224.1462178 734.9982
## Nov 1969 479.5722 311.90007 647.2443 223.1398117 736.0046
## Dec 1969 479.5722 311.24459 647.8998 222.1373399 737.0070
## Jan 1970 479.5722 310.59165 648.5527 221.1387568 738.0056
## Feb 1970 479.5722 309.94123 649.2032 220.1440173 739.0004
## Mar 1970 479.5722 309.29329 649.8511 219.1530775 739.9913
## Apr 1970 479.5722 308.64780 650.4966 218.1658941 740.9785
## May 1970 479.5722 308.00474 651.1396 217.1824247 741.9620
## Jun 1970 479.5722 307.36409 651.7803 216.2026278 742.9418
## Jul 1970 479.5722 306.72581 652.4186 215.2264625 743.9179
## Aug 1970 479.5722 306.08988 653.0545 214.2538886 744.8905
## Sep 1970 479.5722 305.45627 653.6881 213.2848670 745.8595
## Oct 1970 479.5722 304.82496 654.3194 212.3193588 746.8250
## Nov 1970 479.5722 304.19592 654.9485 211.3573262 747.7871
## Dec 1970 479.5722 303.56913 655.5753 210.3987319 748.7457
## Jan 1971 479.5722 302.94456 656.1998 209.4435393 749.7008
## Feb 1971 479.5722 302.32219 656.8222 208.4917125 750.6527
## Mar 1971 479.5722 301.70200 657.4424 207.5432161 751.6012
## Apr 1971 479.5722 301.08397 658.0604 206.5980153 752.5464
## May 1971 479.5722 300.46807 658.6763 205.6560762 753.4883
## Jun 1971 479.5722 299.85428 659.2901 204.7173651 754.4270
## Jul 1971 479.5722 299.24258 659.9018 203.7818491 755.3625
## Aug 1971 479.5722 298.63295 660.5114 202.8494957 756.2949
## Sep 1971 479.5722 298.02536 661.1190 201.9202732 757.2241
## Oct 1971 479.5722 297.41980 661.7246 200.9941502 758.1502
## Nov 1971 479.5722 296.81625 662.3281 200.0710958 759.0733
## Dec 1971 479.5722 296.21468 662.9297 199.1510798 759.9933
## Jan 1972 479.5722 295.61508 663.5293 198.2340724 760.9103
## Feb 1972 479.5722 295.01743 664.1270 197.3200442 761.8243
## Mar 1972 479.5722 294.42171 664.7227 196.4089665 762.7354
## Apr 1972 479.5722 293.82790 665.3165 195.5008107 763.6436
## May 1972 479.5722 293.23598 665.9084 194.5955490 764.5488
## Jun 1972 479.5722 292.64594 666.4984 193.6931539 765.4512
## Jul 1972 479.5722 292.05775 667.0866 192.7935983 766.3508
## Aug 1972 479.5722 291.47140 667.6730 191.8968556 767.2475
## Sep 1972 479.5722 290.88687 668.2575 191.0028995 768.1415
## Oct 1972 479.5722 290.30415 668.8402 190.1117043 769.0327
## Nov 1972 479.5722 289.72322 669.4212 189.2232445 769.9211
## Dec 1972 479.5722 289.14406 670.0003 188.3374951 770.8069
## Jan 1973 479.5722 288.56665 670.5777 187.4544314 771.6900
## Feb 1973 479.5722 287.99099 671.1534 186.5740291 772.5704
## Mar 1973 479.5722 287.41705 671.7273 185.6962644 773.4481
## Apr 1973 479.5722 286.84482 672.2996 184.8211136 774.3233
## May 1973 479.5722 286.27428 672.8701 183.9485536 775.1958
## Jun 1973 479.5722 285.70543 673.4390 183.0785614 776.0658
## Jul 1973 479.5722 285.13823 674.0061 182.2111146 776.9333
## Aug 1973 479.5722 284.57269 674.5717 181.3461909 777.7982
## Sep 1973 479.5722 284.00878 675.1356 180.4837684 778.6606
## Oct 1973 479.5722 283.44650 675.6979 179.6238256 779.5206
## Nov 1973 479.5722 282.88582 676.2586 178.7663412 780.3780
## Dec 1973 479.5722 282.32673 676.8176 177.9112942 781.2331
## Jan 1974 479.5722 281.76923 677.3752 177.0586640 782.0857
## Feb 1974 479.5722 281.21329 677.9311 176.2084302 782.9360
## Mar 1974 479.5722 280.65891 678.4855 175.3605726 783.7838
## Apr 1974 479.5722 280.10606 679.0383 174.5150715 784.6293
## May 1974 479.5722 279.55475 679.5896 173.6719074 785.4725
## Jun 1974 479.5722 279.00495 680.1394 172.8310609 786.3133
## Jul 1974 479.5722 278.45665 680.6877 171.9925131 787.1519
## Aug 1974 479.5722 277.90984 681.2345 171.1562451 787.9881
## Sep 1974 479.5722 277.36452 681.7799 170.3222386 788.8221
## Oct 1974 479.5722 276.82066 682.3237 169.4904753 789.6539
## Nov 1974 479.5722 276.27825 682.8661 168.6609371 790.4834
## Dec 1974 479.5722 275.73729 683.4071 167.8336063 791.3108
## Jan 1975 479.5722 275.19776 683.9466 167.0084654 792.1359
## Feb 1975 479.5722 274.65965 684.4847 166.1854971 792.9589
## Mar 1975 479.5722 274.12295 685.0214 165.3646843 793.7797
## Apr 1975 479.5722 273.58764 685.5567 164.5460101 794.5984
## May 1975 479.5722 273.05373 686.0907 163.7294579 795.4149
## Jun 1975 479.5722 272.52119 686.6232 162.9150113 796.2294
## Jul 1975 479.5722 271.99002 687.1544 162.1026542 797.0417
## Aug 1975 479.5722 271.46020 687.6842 161.2923704 797.8520
## Sep 1975 479.5722 270.93173 688.2127 160.4841443 798.6602
## Oct 1975 479.5722 270.40460 688.7398 159.6779601 799.4664
## Nov 1975 479.5722 269.87879 689.2656 158.8738026 800.2706
## Dec 1975 479.5722 269.35429 689.7901 158.0716565 801.0727
## Jan 1976 479.5722 268.83110 690.3133 157.2715068 801.8729
## Feb 1976 479.5722 268.30921 690.8352 156.4733386 802.6710
## Mar 1976 479.5722 267.78860 691.3558 155.6771373 803.4672
## Apr 1976 479.5722 267.26927 691.8751 154.8828884 804.2615
## May 1976 479.5722 266.75120 692.3932 154.0905777 805.0538
## Jun 1976 479.5722 266.23440 692.9100 153.3001911 805.8442
## Jul 1976 479.5722 265.71884 693.4255 152.5117144 806.6327
## Aug 1976 479.5722 265.20452 693.9399 151.7251341 807.4192
## Sep 1976 479.5722 264.69144 694.4529 150.9404365 808.2039
## Oct 1976 479.5722 264.17957 694.9648 150.1576081 808.9868
## Nov 1976 479.5722 263.66892 695.4755 149.3766356 809.7677
## Dec 1976 479.5722 263.15948 695.9849 148.5975058 810.5469
## Jan 1977 479.5722 262.65123 696.4932 147.8202059 811.3242
## Feb 1977 479.5722 262.14417 697.0002 147.0447230 812.0997
## Mar 1977 479.5722 261.63829 697.5061 146.2710444 812.8733
## Apr 1977 479.5722 261.13358 698.0108 145.4991575 813.6452
## May 1977 479.5722 260.63003 698.5144 144.7290500 814.4153
## Jun 1977 479.5722 260.12764 699.0167 143.9607096 815.1837
## Jul 1977 479.5722 259.62640 699.5180 143.1941242 815.9503
## Aug 1977 479.5722 259.12629 700.0181 142.4292818 816.7151
## Sep 1977 479.5722 258.62732 700.5171 141.6661706 817.4782
## Oct 1977 479.5722 258.12947 701.0149 140.9047790 818.2396
## Nov 1977 479.5722 257.63274 701.5116 140.1450952 818.9993
## Dec 1977 479.5722 257.13712 702.0073 139.3871079 819.7573
## Jan 1978 479.5722 256.64260 702.5018 138.6308058 820.5136
## Feb 1978 479.5722 256.14918 702.9952 137.8761777 821.2682
## Mar 1978 479.5722 255.65684 703.4875 137.1232125 822.0212
## Apr 1978 479.5722 255.16558 703.9788 136.3718993 822.7725
## May 1978 479.5722 254.67540 704.4690 135.6222272 823.5222
## Jun 1978 479.5722 254.18628 704.9581 134.8741855 824.2702
## Jul 1978 479.5722 253.69822 705.4462 134.1277637 825.0166
## Aug 1978 479.5722 253.21121 705.9332 133.3829512 825.7614
## Sep 1978 479.5722 252.72525 706.4191 132.6397377 826.5046
## Oct 1978 479.5722 252.24033 706.9041 131.8981130 827.2463
## Nov 1978 479.5722 251.75644 707.3879 131.1580669 827.9863
## Dec 1978 479.5722 251.27358 707.8708 130.4195893 828.7248
## Jan 1979 479.5722 250.79173 708.3527 129.6826704 829.4617
## Feb 1979 479.5722 250.31090 708.8335 128.9473003 830.1971
## Mar 1979 479.5722 249.83107 709.3133 128.2134692 830.9309
## Apr 1979 479.5722 249.35225 709.7921 127.4811676 831.6632
## May 1979 479.5722 248.87441 710.2700 126.7503859 832.3940
## Jun 1979 479.5722 248.39757 710.7468 126.0211147 833.1233
## Jul 1979 479.5722 247.92170 711.2227 125.2933448 833.8510
## Aug 1979 479.5722 247.44682 711.6976 124.5670667 834.5773
## Sep 1979 479.5722 246.97290 712.1715 123.8422715 835.3021
## Oct 1979 479.5722 246.49994 712.6444 123.1189500 836.0254
## Nov 1979 479.5722 246.02795 713.1164 122.3970933 836.7473
## Dec 1979 479.5722 245.55690 713.5875 121.6766926 837.4677
## Jan 1980 479.5722 245.08680 714.0576 120.9577390 838.1866
## Feb 1980 479.5722 244.61765 714.5267 120.2402240 838.9042
## Mar 1980 479.5722 244.14942 714.9950 119.5241388 839.6202
## Apr 1980 479.5722 243.68213 715.4623 118.8094750 840.3349
## May 1980 479.5722 243.21576 715.9286 118.0962241 841.0482
## Jun 1980 479.5722 242.75031 716.3941 117.3843778 841.7600
## Jul 1980 479.5722 242.28577 716.8586 116.6739278 842.4705
## Aug 1980 479.5722 241.82214 717.3222 115.9648660 843.1795
## Sep 1980 479.5722 241.35941 717.7850 115.2571842 843.8872
## Oct 1980 479.5722 240.89758 718.2468 114.5508744 844.5935
## Nov 1980 479.5722 240.43664 718.7077 113.8459287 845.2985
## Dec 1980 479.5722 239.97659 719.1678 113.1423392 846.0020
## Jan 1981 479.5722 239.51742 719.6270 112.4400980 846.7043
## Feb 1981 479.5722 239.05912 720.0853 111.7391976 847.4052
## Mar 1981 479.5722 238.60170 720.5427 111.0396301 848.1048
## Apr 1981 479.5722 238.14515 720.9992 110.3413881 848.8030
## May 1981 479.5722 237.68945 721.4549 109.6444640 849.4999
## Jun 1981 479.5722 237.23461 721.9098 108.9488504 850.1955
## Jul 1981 479.5722 236.78063 722.3638 108.2545400 850.8898
## Aug 1981 479.5722 236.32749 722.8169 107.5615254 851.5829
## Sep 1981 479.5722 235.87520 723.2692 106.8697994 852.2746
## Oct 1981 479.5722 235.42374 723.7206 106.1793549 852.9650
## Nov 1981 479.5722 234.97311 724.1713 105.4901847 853.6542
## Dec 1981 479.5722 234.52332 724.6211 104.8022818 854.3421
## Jan 1982 479.5722 234.07435 725.0700 104.1156393 855.0287
## Feb 1982 479.5722 233.62620 725.5182 103.4302503 855.7141
## Mar 1982 479.5722 233.17886 725.9655 102.7461078 856.3983
## Apr 1982 479.5722 232.73233 726.4120 102.0632052 857.0812
## May 1982 479.5722 232.28661 726.8578 101.3815358 857.7628
## Jun 1982 479.5722 231.84170 727.3027 100.7010927 858.4433
## Jul 1982 479.5722 231.39758 727.7468 100.0218696 859.1225
## Aug 1982 479.5722 230.95425 728.1901 99.3438598 859.8005
## Sep 1982 479.5722 230.51171 728.6327 98.6670569 860.4773
## Oct 1982 479.5722 230.06996 729.0744 97.9914543 861.1529
## Nov 1982 479.5722 229.62899 729.5154 97.3170459 861.8273
## Dec 1982 479.5722 229.18879 729.9556 96.6438252 862.5006
## Jan 1983 479.5722 228.74937 730.3950 95.9717860 863.1726
## Feb 1983 479.5722 228.31071 730.8337 95.3009221 863.8435
## Mar 1983 479.5722 227.87282 731.2716 94.6312274 864.5132
## Apr 1983 479.5722 227.43569 731.7087 93.9626957 865.1817
## May 1983 479.5722 226.99932 732.1451 93.2953211 865.8491
## Jun 1983 479.5722 226.56370 732.5807 92.6290975 866.5153
## Jul 1983 479.5722 226.12883 733.0156 91.9640190 867.1804
## Aug 1983 479.5722 225.69470 733.4497 91.3000798 867.8443
## Sep 1983 479.5722 225.26132 733.8831 90.6372739 868.5071
## Oct 1983 479.5722 224.82867 734.3157 89.9755956 869.1688
## Nov 1983 479.5722 224.39676 734.7476 89.3150392 869.8293
## Dec 1983 479.5722 223.96557 735.1788 88.6555990 870.4888
## Jan 1984 479.5722 223.53511 735.6093 87.9972694 871.1471
## Feb 1984 479.5722 223.10538 736.0390 87.3400447 871.8043
## Mar 1984 479.5722 222.67636 736.4680 86.6839193 872.4605
## Apr 1984 479.5722 222.24806 736.8963 86.0288879 873.1155
## May 1984 479.5722 221.82047 737.3239 85.3749450 873.7694
## Jun 1984 479.5722 221.39358 737.7508 84.7220851 874.4223
## Jul 1984 479.5722 220.96741 738.1770 84.0703029 875.0741
## Aug 1984 479.5722 220.54193 738.6025 83.4195930 875.7248
## Sep 1984 479.5722 220.11715 739.0272 82.7699502 876.3744
## Oct 1984 479.5722 219.69307 739.4513 82.1213693 877.0230
## Nov 1984 479.5722 219.26967 739.8747 81.4738451 877.6705
## Dec 1984 479.5722 218.84697 740.2974 80.8273724 878.3170
## Jan 1985 479.5722 218.42495 740.7194 80.1819460 878.9624
## Feb 1985 479.5722 218.00361 741.1408 79.5375611 879.6068
## Mar 1985 479.5722 217.58294 741.5614 78.8942124 880.2502
## Apr 1985 479.5722 217.16295 741.9814 78.2518951 880.8925
## May 1985 479.5722 216.74364 742.4007 77.6106042 881.5338
## Jun 1985 479.5722 216.32499 742.8194 76.9703347 882.1740
## Jul 1985 479.5722 215.90700 743.2374 76.3310819 882.8133
## Aug 1985 479.5722 215.48968 743.6547 75.6928409 883.4515
## Sep 1985 479.5722 215.07301 744.0714 75.0556069 884.0888
## Oct 1985 479.5722 214.65700 744.4874 74.4193752 884.7250
## Nov 1985 479.5722 214.24165 744.9027 73.7841410 885.3602
## Dec 1985 479.5722 213.82694 745.3174 73.1498996 885.9945
## Jan 1986 479.5722 213.41288 745.7315 72.5166465 886.6277
## Feb 1986 479.5722 212.99946 746.1449 71.8843770 887.2600
## Mar 1986 479.5722 212.58668 746.5577 71.2530866 887.8913
## Apr 1986 479.5722 212.17454 746.9698 70.6227706 888.5216
## May 1986 479.5722 211.76303 747.3814 69.9934247 889.1510
## Jun 1986 479.5722 211.35215 747.7922 69.3650443 889.7793
## Jul 1986 479.5722 210.94191 748.2025 68.7376251 890.4068
## Aug 1986 479.5722 210.53229 748.6121 68.1111625 891.0332
## Sep 1986 479.5722 210.12329 749.0211 67.4856524 891.6587
## Oct 1986 479.5722 209.71491 749.4295 66.8610902 892.2833
## Nov 1986 479.5722 209.30715 749.8372 66.2374718 892.9069
## Dec 1986 479.5722 208.90000 750.2444 65.6147929 893.5296
## Jan 1987 479.5722 208.49346 750.6509 64.9930492 894.1513
## Feb 1987 479.5722 208.08753 751.0568 64.3722365 894.7721
## Mar 1987 479.5722 207.68221 751.4622 63.7523507 895.3920
## Apr 1987 479.5722 207.27749 751.8669 63.1333876 896.0110
## May 1987 479.5722 206.87338 752.2710 62.5153432 896.6290
## Jun 1987 479.5722 206.46986 752.6745 61.8982132 897.2462
## Jul 1987 479.5722 206.06693 753.0775 61.2819938 897.8624
## Aug 1987 479.5722 205.66460 753.4798 60.6666808 898.4777
## Sep 1987 479.5722 205.26286 753.8815 60.0522703 899.0921
## Oct 1987 479.5722 204.86171 754.2827 59.4387584 899.7056
## Nov 1987 479.5722 204.46114 754.6832 58.8261410 900.3182
## Dec 1987 479.5722 204.06115 755.0832 58.2144143 900.9300
## Jan 1988 479.5722 203.66174 755.4826 57.6035745 901.5408
## Feb 1988 479.5722 203.26291 755.8815 56.9936176 902.1508
## Mar 1988 479.5722 202.86466 756.2797 56.3845398 902.7598
## Apr 1988 479.5722 202.46698 756.6774 55.7763375 903.3680
## May 1988 479.5722 202.06986 757.0745 55.1690067 903.9754
## Jun 1988 479.5722 201.67332 757.4711 54.5625438 904.5818
## Jul 1988 479.5722 201.27734 757.8670 53.9569450 905.1874
## Aug 1988 479.5722 200.88192 758.2625 53.3522067 905.7922
## Sep 1988 479.5722 200.48707 758.6573 52.7483253 906.3961
## Oct 1988 479.5722 200.09277 759.0516 52.1452970 906.9991
## Nov 1988 479.5722 199.69902 759.4454 51.5431183 907.6013
## Dec 1988 479.5722 199.30583 759.8385 50.9417855 908.2026
## Jan 1989 479.5722 198.91319 760.2312 50.3412952 908.8031
## Feb 1989 479.5722 198.52110 760.6233 49.7416439 909.4027
## Mar 1989 479.5722 198.12956 761.0148 49.1428279 910.0016
## Apr 1989 479.5722 197.73856 761.4058 48.5448438 910.5995
## May 1989 479.5722 197.34810 761.7963 47.9476882 911.1967
## Jun 1989 479.5722 196.95818 762.1862 47.3513577 911.7930
## Jul 1989 479.5722 196.56880 762.5756 46.7558487 912.3885
## Aug 1989 479.5722 196.17995 762.9644 46.1611580 912.9832
## Sep 1989 479.5722 195.79163 763.3527 45.5672822 913.5771
## Oct 1989 479.5722 195.40385 763.7405 44.9742179 914.1702
## Nov 1989 479.5722 195.01660 764.1278 44.3819617 914.7624
## Dec 1989 479.5722 194.62987 764.5145 43.7905105 915.3539
## Jan 1990 479.5722 194.24366 764.9007 43.1998610 915.9445
## Feb 1990 479.5722 193.85798 765.2864 42.6100098 916.5344
## Mar 1990 479.5722 193.47282 765.6716 42.0209538 917.1234
## Apr 1990 479.5722 193.08817 766.0562 41.4326898 917.7117
## May 1990 479.5722 192.70404 766.4403 40.8452145 918.2992
## Jun 1990 479.5722 192.32042 766.8240 40.2585248 918.8859
## Jul 1990 479.5722 191.93732 767.2071 39.6726176 919.4718
## Aug 1990 479.5722 191.55473 767.5897 39.0874898 920.0569
## Sep 1990 479.5722 191.17264 767.9717 38.5031381 920.6412
## Oct 1990 479.5722 190.79106 768.3533 37.9195596 921.2248
## Nov 1990 479.5722 190.40998 768.7344 37.3367513 921.8076
## Dec 1990 479.5722 190.02940 769.1150 36.7547099 922.3897
## Jan 1991 479.5722 189.64933 769.4951 36.1734326 922.9709
## Feb 1991 479.5722 189.26975 769.8746 35.5929164 923.5515
## Mar 1991 479.5722 188.89066 770.2537 35.0131582 924.1312
## Apr 1991 479.5722 188.51207 770.6323 34.4341551 924.7102
## May 1991 479.5722 188.13398 771.0104 33.8559041 925.2885
## Jun 1991 479.5722 187.75637 771.3880 33.2784023 925.8660
## Jul 1991 479.5722 187.37925 771.7651 32.7016469 926.4427
## Aug 1991 479.5722 187.00261 772.1418 32.1256349 927.0187
## Sep 1991 479.5722 186.62646 772.5179 31.5503635 927.5940
## Oct 1991 479.5722 186.25080 772.8936 30.9758298 928.1686
## Nov 1991 479.5722 185.87561 773.2688 30.4020309 928.7424
## Dec 1991 479.5722 185.50090 773.6435 29.8289642 929.3154
## Jan 1992 479.5722 185.12667 774.0177 29.2566267 929.8878
## Feb 1992 479.5722 184.75291 774.3915 28.6850157 930.4594
## Mar 1992 479.5722 184.37963 774.7648 28.1141285 931.0303
## Apr 1992 479.5722 184.00682 775.1376 27.5439623 931.6004
## May 1992 479.5722 183.63448 775.5099 26.9745143 932.1699
## Jun 1992 479.5722 183.26260 775.8818 26.4057819 932.7386
## Jul 1992 479.5722 182.89119 776.2532 25.8377624 933.3066
## Aug 1992 479.5722 182.52025 776.6241 25.2704531 933.8739
## Sep 1992 479.5722 182.14977 776.9946 24.7038513 934.4405
## Oct 1992 479.5722 181.77975 777.3646 24.1379544 935.0064
## Nov 1992 479.5722 181.41019 777.7342 23.5727598 935.5716
## Dec 1992 479.5722 181.04109 778.1033 23.0082649 936.1361
## Jan 1993 479.5722 180.67244 778.4719 22.4444671 936.6999
## Feb 1993 479.5722 180.30424 778.8401 21.8813638 937.2630
## Mar 1993 479.5722 179.93650 779.2079 21.3189524 937.8254
## Apr 1993 479.5722 179.56921 779.5752 20.7572304 938.3872
## May 1993 479.5722 179.20237 779.9420 20.1961952 938.9482
## Jun 1993 479.5722 178.83598 780.3084 19.6358445 939.5085
## Jul 1993 479.5722 178.47003 780.6744 19.0761756 940.0682
## Aug 1993 479.5722 178.10453 781.0399 18.5171860 940.6272
## Sep 1993 479.5722 177.73947 781.4049 17.9588734 941.1855
## Oct 1993 479.5722 177.37485 781.7695 17.4012352 941.7431
## Nov 1993 479.5722 177.01067 782.1337 16.8442691 942.3001
## Dec 1993 479.5722 176.64692 782.4975 16.2879725 942.8564
## Jan 1994 479.5722 176.28362 782.8608 15.7323431 943.4120
## Feb 1994 479.5722 175.92074 783.2236 15.1773785 943.9670
## Mar 1994 479.5722 175.55831 783.5861 14.6230763 944.5213
## Apr 1994 479.5722 175.19630 783.9481 14.0694342 945.0749
## May 1994 479.5722 174.83472 784.3097 13.5164497 945.6279
## Jun 1994 479.5722 174.47357 784.6708 12.9641206 946.1803
## Jul 1994 479.5722 174.11285 785.0315 12.4124445 946.7319
## Aug 1994 479.5722 173.75256 785.3918 11.8614191 947.2830
## Sep 1994 479.5722 173.39268 785.7517 11.3110422 947.8333
## Oct 1994 479.5722 173.03323 786.1111 10.7613113 948.3831
## Nov 1994 479.5722 172.67420 786.4702 10.2122244 948.9322
## Dec 1994 479.5722 172.31560 786.8288 9.6637790 949.4806
## Jan 1995 479.5722 171.95740 787.1870 9.1159730 950.0284
## Feb 1995 479.5722 171.59963 787.5448 8.5688042 950.5756
## Mar 1995 479.5722 171.24227 787.9021 8.0222702 951.1221
## Apr 1995 479.5722 170.88533 788.2591 7.4763690 951.6680
## May 1995 479.5722 170.52879 788.6156 6.9310983 952.2133
## Jun 1995 479.5722 170.17267 788.9717 6.3864559 952.7579
## Jul 1995 479.5722 169.81696 789.3274 5.8424397 953.3019
## Aug 1995 479.5722 169.46165 789.6827 5.2990475 953.8453
## Sep 1995 479.5722 169.10675 790.0376 4.7562772 954.3881
## Oct 1995 479.5722 168.75226 790.3921 4.2141266 954.9303
## Nov 1995 479.5722 168.39817 790.7462 3.6725936 955.4718
## Dec 1995 479.5722 168.04448 791.0999 3.1316762 956.0127
## Jan 1996 479.5722 167.69120 791.4532 2.5913722 956.5530
## Feb 1996 479.5722 167.33831 791.8061 2.0516795 957.0927
## Mar 1996 479.5722 166.98582 792.1586 1.5125961 957.6318
## Apr 1996 479.5722 166.63373 792.5106 0.9741199 958.1703
## May 1996 479.5722 166.28204 792.8623 0.4362489 958.7081
## Jun 1996 479.5722 165.93074 793.2136 -0.1010190 959.2454
## Jul 1996 479.5722 165.57983 793.5646 -0.6376858 959.7821
## Aug 1996 479.5722 165.22931 793.9151 -1.1737535 960.3181
## Sep 1996 479.5722 164.87919 794.2652 -1.7092241 960.8536
## Oct 1996 479.5722 164.52945 794.6149 -2.2440996 961.3885
## Nov 1996 479.5722 164.18010 794.9643 -2.7783820 961.9228
## Dec 1996 479.5722 163.83114 795.3132 -3.3120733 962.4565
## Jan 1997 479.5722 163.48257 795.6618 -3.8451753 962.9896
## Feb 1997 479.5722 163.13437 796.0100 -4.3776901 963.5221
## Mar 1997 479.5722 162.78656 796.3578 -4.9096196 964.0540
## Apr 1997 479.5722 162.43913 796.7052 -5.4409657 964.5853
## May 1997 479.5722 162.09209 797.0523 -5.9717304 965.1161
## Jun 1997 479.5722 161.74542 797.3990 -6.5019154 965.6463
## Jul 1997 479.5722 161.39912 797.7453 -7.0315228 966.1759
## Aug 1997 479.5722 161.05321 798.0912 -7.5605545 966.7049
## Sep 1997 479.5722 160.70767 798.4367 -8.0890122 967.2334
## Oct 1997 479.5722 160.36250 798.7819 -8.6168978 967.7613
## Nov 1997 479.5722 160.01771 799.1267 -9.1442133 968.2886
## Dec 1997 479.5722 159.67329 799.4711 -9.6709604 968.8153
## Jan 1998 479.5722 159.32924 799.8151 -10.1971410 969.3415
## Feb 1998 479.5722 158.98556 800.1588 -10.7227569 969.8671
## Mar 1998 479.5722 158.64224 800.5021 -11.2478100 970.3922
## Apr 1998 479.5722 158.29930 800.8451 -11.7723019 970.9167
## May 1998 479.5722 157.95671 801.1877 -12.2962346 971.4406
## Jun 1998 479.5722 157.61450 801.5299 -12.8196098 971.9640
## Jul 1998 479.5722 157.27264 801.8717 -13.3424292 972.4868
## Aug 1998 479.5722 156.93115 802.2132 -13.8646948 973.0091
## Sep 1998 479.5722 156.59002 802.5544 -14.3864081 973.5308
## Oct 1998 479.5722 156.24925 802.8951 -14.9075709 974.0520
## Nov 1998 479.5722 155.90884 803.2355 -15.4281851 974.5726
## Dec 1998 479.5722 155.56879 803.5756 -15.9482523 975.0926
## Jan 1999 479.5722 155.22909 803.9153 -16.4677742 975.6122
## Feb 1999 479.5722 154.88975 804.2546 -16.9867526 976.1311
## Mar 1999 479.5722 154.55076 804.5936 -17.5051892 976.6496
## Apr 1999 479.5722 154.21213 804.9323 -18.0230855 977.1675
## May 1999 479.5722 153.87385 805.2705 -18.5404435 977.6848
## Jun 1999 479.5722 153.53591 805.6085 -19.0572646 978.2016
## Jul 1999 479.5722 153.19833 805.9460 -19.5735506 978.7179
## Aug 1999 479.5722 152.86110 806.2833 -20.0893032 979.2337
## Sep 1999 479.5722 152.52422 806.6202 -20.6045239 979.7489
## Oct 1999 479.5722 152.18768 806.9567 -21.1192145 980.2636
## Nov 1999 479.5722 151.85149 807.2929 -21.6333765 980.7778
## Dec 1999 479.5722 151.51564 807.6287 -22.1470116 981.2914
## Jan 2000 479.5722 151.18013 807.9642 -22.6601214 981.8045
## Feb 2000 479.5722 150.84497 808.2994 -23.1727075 982.3171
## Mar 2000 479.5722 150.51015 808.6342 -23.6847716 982.8292
## Apr 2000 479.5722 150.17567 808.9687 -24.1963151 983.3407
## May 2000 479.5722 149.84153 809.3029 -24.7073398 983.8517
## Jun 2000 479.5722 149.50773 809.6367 -25.2178471 984.3622
## Jul 2000 479.5722 149.17426 809.9701 -25.7278386 984.8722
## Aug 2000 479.5722 148.84113 810.3033 -26.2373159 985.3817
## Sep 2000 479.5722 148.50834 810.6360 -26.7462806 985.8907
## Oct 2000 479.5722 148.17588 810.9685 -27.2547341 986.3991
## Nov 2000 479.5722 147.84375 811.3006 -27.7626781 986.9071
## Dec 2000 479.5722 147.51196 811.6324 -28.2701140 987.4145
## Jan 2001 479.5722 147.18049 811.9639 -28.7770434 987.9214
## Feb 2001 479.5722 146.84936 812.2950 -29.2834678 988.4279
## Mar 2001 479.5722 146.51856 812.6258 -29.7893887 988.9338
## Apr 2001 479.5722 146.18808 812.9563 -30.2948076 989.4392
## May 2001 479.5722 145.85793 813.2865 -30.7997260 989.9441
## Jun 2001 479.5722 145.52811 813.6163 -31.3041453 990.4485
## Jul 2001 479.5722 145.19861 813.9458 -31.8080671 990.9524
## Aug 2001 479.5722 144.86944 814.2749 -32.3114929 991.4559
## Sep 2001 479.5722 144.54059 814.6038 -32.8144239 991.9588
## Oct 2001 479.5722 144.21207 814.9323 -33.3168619 992.4612
## Nov 2001 479.5722 143.88386 815.2605 -33.8188081 992.9632
## Dec 2001 479.5722 143.55598 815.5884 -34.3202640 993.4646
## Jan 2002 479.5722 143.22841 815.9160 -34.8212311 993.9656
## Feb 2002 479.5722 142.90116 816.2432 -35.3217107 994.4661
## Mar 2002 479.5722 142.57424 816.5701 -35.8217044 994.9661
## Apr 2002 479.5722 142.24763 816.8968 -36.3212135 995.4656
## May 2002 479.5722 141.92133 817.2231 -36.8202394 995.9646
## Jun 2002 479.5722 141.59535 817.5490 -37.3187835 996.4632
## Jul 2002 479.5722 141.26968 817.8747 -37.8168473 996.9612
## Aug 2002 479.5722 140.94433 818.2001 -38.3144320 997.4588
## Sep 2002 479.5722 140.61929 818.5251 -38.8115392 997.9559
## Oct 2002 479.5722 140.29456 818.8498 -39.3081700 998.4526
## Nov 2002 479.5722 139.97014 819.1742 -39.8043260 998.9487
## Dec 2002 479.5722 139.64603 819.4984 -40.3000085 999.4444
## Jan 2003 479.5722 139.32223 819.8222 -40.7952188 999.9396
## Feb 2003 479.5722 138.99874 820.1456 -41.2899583 1000.4343
## Mar 2003 479.5722 138.67555 820.4688 -41.7842283 1000.9286
## Apr 2003 479.5722 138.35267 820.7917 -42.2780302 1001.4224
## May 2003 479.5722 138.03010 821.1143 -42.7713652 1001.9157
## Jun 2003 479.5722 137.70783 821.4366 -43.2642347 1002.4086
## Jul 2003 479.5722 137.38586 821.7585 -43.7566401 1002.9010
## Aug 2003 479.5722 137.06420 822.0802 -44.2485826 1003.3930
## Sep 2003 479.5722 136.74284 822.4015 -44.7400635 1003.8844
## Oct 2003 479.5722 136.42177 822.7226 -45.2310841 1004.3755
## Nov 2003 479.5722 136.10101 823.0434 -45.7216458 1004.8660
## Dec 2003 479.5722 135.78055 823.3638 -46.2117498 1005.3561
## Jan 2004 479.5722 135.46039 823.6840 -46.7013973 1005.8458
## Feb 2004 479.5722 135.14052 824.0039 -47.1905897 1006.3350
## Mar 2004 479.5722 134.82095 824.3234 -47.6793282 1006.8237
## Apr 2004 479.5722 134.50168 824.6427 -48.1676141 1007.3120
## May 2004 479.5722 134.18270 824.9617 -48.6554486 1007.7998
## Jun 2004 479.5722 133.86402 825.2804 -49.1428330 1008.2872
## Jul 2004 479.5722 133.54563 825.5988 -49.6297685 1008.7742
## Aug 2004 479.5722 133.22753 825.9169 -50.1162565 1009.2606
## Sep 2004 479.5722 132.90973 826.2347 -50.6022980 1009.7467
## Oct 2004 479.5722 132.59221 826.5522 -51.0878943 1010.2323
## Nov 2004 479.5722 132.27499 826.8694 -51.5730467 1010.7174
## Dec 2004 479.5722 131.95805 827.1863 -52.0577563 1011.2021
## Jan 2005 479.5722 131.64141 827.5030 -52.5420244 1011.6864
## Feb 2005 479.5722 131.32505 827.8193 -53.0258522 1012.1702
## Mar 2005 479.5722 131.00898 828.1354 -53.5092409 1012.6536
## Apr 2005 479.5722 130.69319 828.4512 -53.9921916 1013.1366
## May 2005 479.5722 130.37769 828.7667 -54.4747056 1013.6191
## Jun 2005 479.5722 130.06248 829.0819 -54.9567840 1014.1012
## Jul 2005 479.5722 129.74755 829.3968 -55.4384281 1014.5828
## Aug 2005 479.5722 129.43290 829.7115 -55.9196389 1015.0640
## Sep 2005 479.5722 129.11854 830.0258 -56.4004177 1015.5448
## Oct 2005 479.5722 128.80446 830.3399 -56.8807656 1016.0251
## Nov 2005 479.5722 128.49066 830.6537 -57.3606838 1016.5051
## Dec 2005 479.5722 128.17713 830.9672 -57.8401734 1016.9846
## Jan 2006 479.5722 127.86389 831.2805 -58.3192356 1017.4636
## Feb 2006 479.5722 127.55093 831.5935 -58.7978715 1017.9423
## Mar 2006 479.5722 127.23824 831.9061 -59.2760822 1018.4205
## Apr 2006 479.5722 126.92584 832.2185 -59.7538689 1018.8983
## May 2006 479.5722 126.61370 832.5307 -60.2312327 1019.3756
## Jun 2006 479.5722 126.30185 832.8425 -60.7081748 1019.8526
## Jul 2006 479.5722 125.99027 833.1541 -61.1846962 1020.3291
## Aug 2006 479.5722 125.67896 833.4654 -61.6607980 1020.8052
## Sep 2006 479.5722 125.36793 833.7765 -62.1364814 1021.2809
## Oct 2006 479.5722 125.05717 834.0872 -62.6117475 1021.7561
## Nov 2006 479.5722 124.74668 834.3977 -63.0865973 1022.2310
## Dec 2006 479.5722 124.43647 834.7079 -63.5610320 1022.7054
## Jan 2007 479.5722 124.12652 835.0179 -64.0350526 1023.1794
## Feb 2007 479.5722 123.81684 835.3275 -64.5086602 1023.6530
## Mar 2007 479.5722 123.50744 835.6369 -64.9818560 1024.1262
## Apr 2007 479.5722 123.19830 835.9461 -65.4546408 1024.5990
## May 2007 479.5722 122.88943 836.2550 -65.9270160 1025.0714
## Jun 2007 479.5722 122.58083 836.5636 -66.3989824 1025.5434
## Jul 2007 479.5722 122.27249 836.8719 -66.8705412 1026.0149
## Aug 2007 479.5722 121.96442 837.1800 -67.3416934 1026.4861
## Sep 2007 479.5722 121.65662 837.4878 -67.8124401 1026.9568
## Oct 2007 479.5722 121.34908 837.7953 -68.2827822 1027.4272
## Nov 2007 479.5722 121.04180 838.1026 -68.7527210 1027.8971
## Dec 2007 479.5722 120.73479 838.4096 -69.2222573 1028.3666
## Jan 2008 479.5722 120.42804 838.7163 -69.6913922 1028.8358
## Feb 2008 479.5722 120.12155 839.0228 -70.1601268 1029.3045
## Mar 2008 479.5722 119.81532 839.3291 -70.6284620 1029.7728
## Apr 2008 479.5722 119.50935 839.6350 -71.0963989 1030.2408
## May 2008 479.5722 119.20365 839.9407 -71.5639386 1030.7083
## Jun 2008 479.5722 118.89820 840.2462 -72.0310819 1031.1755
## Jul 2008 479.5722 118.59301 840.5514 -72.4978300 1031.6422
## Aug 2008 479.5722 118.28807 840.8563 -72.9641838 1032.1086
## Sep 2008 479.5722 117.98340 841.1610 -73.4301443 1032.5745
## Oct 2008 479.5722 117.67898 841.4654 -73.8957125 1033.0401
## Nov 2008 479.5722 117.37482 841.7696 -74.3608894 1033.5053
## Dec 2008 479.5722 117.07091 842.0735 -74.8256760 1033.9701
## Jan 2009 479.5722 116.76726 842.3771 -75.2900733 1034.4345
## Feb 2009 479.5722 116.46386 842.6805 -75.7540822 1034.8985
## Mar 2009 479.5722 116.16071 842.9837 -76.2177037 1035.3621
## Apr 2009 479.5722 115.85782 843.2866 -76.6809389 1035.8253
## May 2009 479.5722 115.55518 843.5892 -77.1437885 1036.2882
## Jun 2009 479.5722 115.25279 843.8916 -77.6062537 1036.7506
## Jul 2009 479.5722 114.95065 844.1937 -78.0683353 1037.2127
## Aug 2009 479.5722 114.64876 844.4956 -78.5300344 1037.6744
## Sep 2009 479.5722 114.34712 844.7973 -78.9913518 1038.1357
## Oct 2009 479.5722 114.04573 845.0987 -79.4522886 1038.5967
## Nov 2009 479.5722 113.74459 845.3998 -79.9128455 1039.0572
## Dec 2009 479.5722 113.44369 845.7007 -80.3730237 1039.5174
## Jan 2010 479.5722 113.14305 846.0013 -80.8328240 1039.9772
## Feb 2010 479.5722 112.84265 846.3017 -81.2922474 1040.4366
## Mar 2010 479.5722 112.54249 846.6019 -81.7512947 1040.8957
## Apr 2010 479.5722 112.24258 846.9018 -82.2099670 1041.3543
## May 2010 479.5722 111.94292 847.2015 -82.6682650 1041.8126
## Jun 2010 479.5722 111.64350 847.5009 -83.1261898 1042.2706
## Jul 2010 479.5722 111.34432 847.8001 -83.5837422 1042.7281
## Aug 2010 479.5722 111.04538 848.0990 -84.0409232 1043.1853
## Sep 2010 479.5722 110.74669 848.3977 -84.4977336 1043.6421
## Oct 2010 479.5722 110.44824 848.6961 -84.9541744 1044.0986
## Nov 2010 479.5722 110.15003 848.9944 -85.4102465 1044.5546
## Dec 2010 479.5722 109.85206 849.2923 -85.8659506 1045.0103
## Jan 2011 479.5722 109.55433 849.5900 -86.3212878 1045.4657
## Feb 2011 479.5722 109.25684 849.8875 -86.7762590 1045.9206
## Mar 2011 479.5722 108.95959 850.1848 -87.2308649 1046.3752
## Apr 2011 479.5722 108.66258 850.4818 -87.6851065 1046.8295
## May 2011 479.5722 108.36581 850.7786 -88.1389846 1047.2834
## Jun 2011 479.5722 108.06927 851.0751 -88.5925002 1047.7369
## Jul 2011 479.5722 107.77297 851.3714 -89.0456540 1048.1900
## Aug 2011 479.5722 107.47690 851.6675 -89.4984470 1048.6428
## Sep 2011 479.5722 107.18107 851.9633 -89.9508800 1049.0953
## Oct 2011 479.5722 106.88548 852.2589 -90.4029539 1049.5473
## Nov 2011 479.5722 106.59011 852.5543 -90.8546695 1049.9991
## Dec 2011 479.5722 106.29499 852.8494 -91.3060277 1050.4504
## Jan 2012 479.5722 106.00009 853.1443 -91.7570293 1050.9014
## Feb 2012 479.5722 105.70543 853.4390 -92.2076751 1051.3521
## Mar 2012 479.5722 105.41100 853.7334 -92.6579661 1051.8023
## Apr 2012 479.5722 105.11680 854.0276 -93.1079030 1052.2523
## May 2012 479.5722 104.82284 854.3215 -93.5574867 1052.7019
## Jun 2012 479.5722 104.52910 854.6153 -94.0067180 1053.1511
## Jul 2012 479.5722 104.23559 854.9088 -94.4555977 1053.6000
## Aug 2012 479.5722 103.94232 855.2021 -94.9041267 1054.0485
## Sep 2012 479.5722 103.64927 855.4951 -95.3523057 1054.4967
## Oct 2012 479.5722 103.35645 855.7879 -95.8001357 1054.9445
## Nov 2012 479.5722 103.06386 856.0805 -96.2476174 1055.3920
## Dec 2012 479.5722 102.77149 856.3729 -96.6947515 1055.8391
## Jan 2013 479.5722 102.47935 856.6650 -97.1415391 1056.2859
## Feb 2013 479.5722 102.18744 856.9569 -97.5879807 1056.7324
## Mar 2013 479.5722 101.89575 857.2486 -98.0340773 1057.1785
## Apr 2013 479.5722 101.60429 857.5401 -98.4798296 1057.6242
## May 2013 479.5722 101.31305 857.8313 -98.9252385 1058.0696
## Jun 2013 479.5722 101.02204 858.1223 -99.3703047 1058.5147
## Jul 2013 479.5722 100.73125 858.4131 -99.8150290 1058.9594
## Aug 2013 479.5722 100.44068 858.7037 -100.2594122 1059.4038
## Sep 2013 479.5722 100.15034 858.9940 -100.7034551 1059.8478
## Oct 2013 479.5722 99.86022 859.2842 -101.1471585 1060.2915
## Nov 2013 479.5722 99.57032 859.5741 -101.5905231 1060.7349
## Dec 2013 479.5722 99.28064 859.8637 -102.0335497 1061.1779
## Jan 2014 479.5722 98.99118 860.1532 -102.4762391 1061.6206
## Feb 2014 479.5722 98.70194 860.4424 -102.9185921 1062.0630
## Mar 2014 479.5722 98.41292 860.7315 -103.3606093 1062.5050
## Apr 2014 479.5722 98.12412 861.0203 -103.8022917 1062.9467
## May 2014 479.5722 97.83554 861.3088 -104.2436400 1063.3880
## Jun 2014 479.5722 97.54717 861.5972 -104.6846548 1063.8290
## Jul 2014 479.5722 97.25903 861.8854 -105.1253370 1064.2697
## Aug 2014 479.5722 96.97110 862.1733 -105.5656873 1064.7101
## Sep 2014 479.5722 96.68338 862.4610 -106.0057065 1065.1501
## Oct 2014 479.5722 96.39589 862.7485 -106.4453952 1065.5898
## Nov 2014 479.5722 96.10861 863.0358 -106.8847543 1066.0291
## Dec 2014 479.5722 95.82154 863.3228 -107.3237845 1066.4682
## Jan 2015 479.5722 95.53469 863.6097 -107.7624866 1066.9069
## Feb 2015 479.5722 95.24805 863.8963 -108.2008612 1067.3452
## Mar 2015 479.5722 94.96163 864.1828 -108.6389091 1067.7833
## Apr 2015 479.5722 94.67541 864.4690 -109.0766310 1068.2210
## May 2015 479.5722 94.38942 864.7550 -109.5140276 1068.6584
## Jun 2015 479.5722 94.10363 865.0408 -109.9510998 1069.0955
## Jul 2015 479.5722 93.81806 865.3263 -110.3878481 1069.5322
## Aug 2015 479.5722 93.53269 865.6117 -110.8242734 1069.9687
## Sep 2015 479.5722 93.24754 865.8968 -111.2603762 1070.4048
## Oct 2015 479.5722 92.96260 866.1818 -111.6961575 1070.8405
## Nov 2015 479.5722 92.67787 866.4665 -112.1316177 1071.2760
## Dec 2015 479.5722 92.39334 866.7510 -112.5667578 1071.7111
## Jan 2016 479.5722 92.10903 867.0354 -113.0015783 1072.1460
## Feb 2016 479.5722 91.82492 867.3195 -113.4360799 1072.5805
## Mar 2016 479.5722 91.54103 867.6034 -113.8702635 1073.0146
## Apr 2016 479.5722 91.25734 867.8870 -114.3041296 1073.4485
## May 2016 479.5722 90.97385 868.1705 -114.7376790 1073.8821
## Jun 2016 479.5722 90.69058 868.4538 -115.1709123 1074.3153
## Jul 2016 479.5722 90.40751 868.7369 -115.6038303 1074.7482
## Aug 2016 479.5722 90.12464 869.0197 -116.0364336 1075.1808
## Sep 2016 479.5722 89.84199 869.3024 -116.4687229 1075.6131
## Oct 2016 479.5722 89.55953 869.5849 -116.9006989 1076.0451
## Nov 2016 479.5722 89.27728 869.8671 -117.3323623 1076.4767
## Dec 2016 479.5722 88.99524 870.1491 -117.7637138 1076.9081
## Jan 2017 479.5722 88.71339 870.4310 -118.1947540 1077.3391
## Feb 2017 479.5722 88.43176 870.7126 -118.6254836 1077.7699
## Mar 2017 479.5722 88.15032 870.9941 -119.0559033 1078.2003
## Apr 2017 479.5722 87.86909 871.2753 -119.4860137 1078.6304
## May 2017 479.5722 87.58805 871.5563 -119.9158156 1079.0602
## Jun 2017 479.5722 87.30722 871.8372 -120.3453095 1079.4897
## Jul 2017 479.5722 87.02659 872.1178 -120.7744962 1079.9189
## Aug 2017 479.5722 86.74616 872.3982 -121.2033762 1080.3478
## Sep 2017 479.5722 86.46593 872.6784 -121.6319503 1080.7763
## Oct 2017 479.5722 86.18590 872.9585 -122.0602191 1081.2046
## Nov 2017 479.5722 85.90607 873.2383 -122.4881833 1081.6326
## Dec 2017 479.5722 85.62644 873.5179 -122.9158435 1082.0602
## Jan 2018 479.5722 85.34701 873.7974 -123.3432003 1082.4876
## Feb 2018 479.5722 85.06777 874.0766 -123.7702544 1082.9146
## Mar 2018 479.5722 84.78873 874.3556 -124.1970065 1083.3414
## Apr 2018 479.5722 84.50989 874.6345 -124.6234571 1083.7678
## May 2018 479.5722 84.23125 874.9131 -125.0496070 1084.1940
## Jun 2018 479.5722 83.95280 875.1916 -125.4754567 1084.6198
## Jul 2018 479.5722 83.67455 875.4698 -125.9010069 1085.0454
## Aug 2018 479.5722 83.39649 875.7479 -126.3262582 1085.4706
## Sep 2018 479.5722 83.11863 876.0258 -126.7512112 1085.8956
## Oct 2018 479.5722 82.84096 876.3034 -127.1758666 1086.3202
## Nov 2018 479.5722 82.56349 876.5809 -127.6002251 1086.7446
## Dec 2018 479.5722 82.28621 876.8582 -128.0242871 1087.1687
## Jan 2019 479.5722 82.00912 877.1353 -128.4480534 1087.5924
## Feb 2019 479.5722 81.73223 877.4122 -128.8715245 1088.0159
## Mar 2019 479.5722 81.45553 877.6889 -129.2947011 1088.4391
## Apr 2019 479.5722 81.17902 877.9654 -129.7175838 1088.8620
## May 2019 479.5722 80.90270 878.2417 -130.1401732 1089.2846
## Jun 2019 479.5722 80.62658 878.5178 -130.5624699 1089.7069
## Jul 2019 479.5722 80.35065 878.7937 -130.9844746 1090.1289
## Aug 2019 479.5722 80.07490 879.0695 -131.4061877 1090.5506
## Sep 2019 479.5722 79.79935 879.3450 -131.8276100 1090.9720
## Oct 2019 479.5722 79.52399 879.6204 -132.2487419 1091.3931
## Nov 2019 479.5722 79.24881 879.8956 -132.6695842 1091.8140
## Dec 2019 479.5722 78.97383 880.1706 -133.0901375 1092.2345
## Jan 2020 479.5722 78.69903 880.4454 -133.5104022 1092.6548
## Feb 2020 479.5722 78.42442 880.7200 -133.9303791 1093.0748
## Mar 2020 479.5722 78.15000 880.9944 -134.3500686 1093.4945
## Apr 2020 479.5722 77.87577 881.2686 -134.7694715 1093.9139
## May 2020 479.5722 77.60172 881.5427 -135.1885882 1094.3330
## Jun 2020 479.5722 77.32786 881.8165 -135.6074194 1094.7518
## Jul 2020 479.5722 77.05419 882.0902 -136.0259656 1095.1703
## Aug 2020 479.5722 76.78071 882.3637 -136.4442274 1095.5886
## Sep 2020 479.5722 76.50740 882.6370 -136.8622055 1096.0066
## Oct 2020 479.5722 76.23429 882.9101 -137.2799003 1096.4243
## Nov 2020 479.5722 75.96136 883.1830 -137.6973124 1096.8417
## Dec 2020 479.5722 75.68861 883.4558 -138.1144425 1097.2588
## Jan 2021 479.5722 75.41605 883.7283 -138.5312911 1097.6757
## Feb 2021 479.5722 75.14367 884.0007 -138.9478588 1098.0922
## Mar 2021 479.5722 74.87147 884.2729 -139.3641461 1098.5085
## Apr 2021 479.5722 74.59946 884.5449 -139.7801536 1098.9245
## May 2021 479.5722 74.32763 884.8168 -140.1958819 1099.3403
## Jun 2021 479.5722 74.05598 885.0884 -140.6113315 1099.7557
## Jul 2021 479.5722 73.78452 885.3599 -141.0265029 1100.1709
## Aug 2021 479.5722 73.51323 885.6312 -141.4413968 1100.5858
## Sep 2021 479.5722 73.24213 885.9023 -141.8560137 1101.0004
## Oct 2021 479.5722 72.97121 886.1732 -142.2703542 1101.4147
plot(forecast(fit,h=730))
#푸리에 변환 반복코드
bestfit <- list(aic=Inf)
for(K in seq(6)) {
fit <- auto.arima(AirPassengers, xreg= fourier(AirPassengers, 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)
nottem
#시계열자료 그래프
data("nottem")
#ts_wt<-ts(AirPassengers,start= c(1949,12,1), frequency = 144)
ts.plot(nottem)
#1차 차분 및 정상성 검증
diff1_ts_wt<-diff(nottem,differences =1)
ts.plot(diff1_ts_wt)
adf.test(diff1_ts_wt,alternative = "stationary",k=0)
## Warning in adf.test(diff1_ts_wt, alternative = "stationary", k = 0): p-
## value smaller than printed p-value
##
## Augmented Dickey-Fuller Test
##
## data: diff1_ts_wt
## Dickey-Fuller = -9.2929, Lag order = 0, p-value = 0.01
## alternative hypothesis: stationary
#forecast를 통한 2년 예측
fit<-arima(nottem,order=c(3,1,2))
forecast(fit,h=730)
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## Jan 1940 38.25901 34.61547 41.90254 32.68670 43.83132
## Feb 1940 39.45200 35.22419 43.67981 32.98612 45.91788
## Mar 1940 44.10963 39.52216 48.69711 37.09369 51.12557
## Apr 1940 49.75177 45.14144 54.36209 42.70088 56.80265
## May 1940 55.29054 50.63683 59.94425 48.17330 62.40778
## Jun 1940 59.09806 54.20281 63.99330 51.61143 66.58469
## Jul 1940 60.27316 55.03931 65.50701 52.26868 68.27764
## Aug 1940 58.55204 53.07806 64.02601 50.18032 66.92375
## Sep 1940 54.47710 48.93928 60.01492 46.00773 62.94646
## Oct 1940 49.18798 43.64578 54.73018 40.71191 57.66405
## Nov 1940 44.11996 38.43030 49.80962 35.41837 52.82155
## Dec 1940 40.60955 34.55244 46.66665 31.34601 49.87309
## Jan 1941 39.54530 33.03357 46.05704 29.58647 49.50414
## Feb 1941 41.14355 34.28438 48.00271 30.65336 51.63374
## Mar 1941 44.90939 37.89878 51.92001 34.18758 55.63121
## Apr 1941 49.78683 42.76033 56.81333 39.04073 60.53293
## May 1941 54.45365 47.40866 61.49863 43.67927 65.22803
## Jun 1941 57.67890 50.52615 64.83166 46.73971 68.61810
## Jul 1941 58.64665 51.33362 65.95968 47.46234 69.83096
## Aug 1941 57.16102 49.73276 64.58928 45.80047 68.52157
## Sep 1941 53.68147 46.22477 61.13818 42.27743 65.08552
## Oct 1941 49.18349 41.72257 56.64441 37.77299 60.59398
## Nov 1941 44.88623 37.33637 52.43610 33.33972 56.43275
## Dec 1941 41.92300 34.15602 49.68997 30.04443 53.80156
## Jan 1942 41.04317 33.00134 49.08500 28.74425 53.34209
## Feb 1942 42.42401 34.16536 50.68265 29.79350 55.05452
## Mar 1942 45.63898 37.28225 53.99571 32.85846 58.41949
## Apr 1942 49.78700 41.41843 58.15557 36.98837 62.58563
## May 1942 53.74392 45.36635 62.12149 40.93153 66.55631
## Jun 1942 56.46638 48.02905 64.90371 43.56260 69.37016
## Jul 1942 57.26611 48.73806 65.79416 44.22358 70.30864
## Aug 1942 55.98278 47.39035 64.57520 42.84179 69.12376
## Sep 1942 53.01230 44.40580 61.61881 39.84978 66.17482
## Oct 1942 49.18705 40.57615 57.79795 36.01782 62.35628
## Nov 1942 45.54354 36.86977 54.21731 32.27816 58.80892
## Dec 1942 43.04234 34.22096 51.86372 29.55121 56.53347
## Jan 1943 42.31556 33.30748 51.32364 28.53889 56.09223
## Feb 1943 43.50819 34.35085 52.66552 29.50326 57.51312
## Mar 1943 46.25272 37.02580 55.47963 32.14137 60.36406
## Apr 1943 49.78029 40.54366 59.01691 35.65409 63.90649
## May 1943 53.13518 43.89421 62.37616 39.00233 67.26803
## Jun 1943 55.43307 46.15732 64.70881 41.24704 69.61909
## Jul 1943 56.09341 46.76382 65.42300 41.82503 70.36179
## Aug 1943 54.98516 45.61828 64.35205 40.65975 69.31058
## Sep 1943 52.44943 43.07568 61.82317 38.11352 66.78533
## Oct 1943 49.19640 39.81804 58.57475 34.85344 63.53936
## Nov 1943 46.10728 36.68141 55.53316 31.69165 60.52291
## Dec 1943 43.99623 34.46365 53.52881 29.41741 58.57505
## Jan 1944 43.39638 33.72987 53.06288 28.61274 58.18002
## Feb 1944 44.42614 34.65165 54.20062 29.47735 59.37492
## Mar 1944 46.76893 36.94257 56.59529 31.74081 61.79705
## Apr 1944 49.76876 39.93401 59.60352 34.72780 64.80972
## May 1944 52.61312 42.77647 62.44978 37.56926 67.65699
## Jun 1944 54.55250 44.69558 64.40943 39.47764 69.62737
## Jul 1944 55.09728 45.20817 64.98640 39.97319 70.22138
## Aug 1944 54.14053 44.22987 64.05118 38.98349 69.29756
## Sep 1944 51.97602 42.06232 61.88972 36.81432 67.13772
## Oct 1944 49.20970 39.29117 59.12823 34.04062 64.37879
## Nov 1944 46.59072 36.63483 56.54662 31.36450 61.81695
## Dec 1944 44.80909 34.77318 54.84500 29.46049 60.15769
## Jan 1945 44.31444 34.17916 54.44971 28.81388 59.81500
## Feb 1945 45.20331 34.98735 55.41926 29.57936 60.82726
## Mar 1945 47.20307 36.94710 57.45903 31.51793 62.88820
## Apr 1945 49.75402 39.49054 60.01750 34.05739 65.45066
## May 1945 52.16546 41.90133 62.42959 36.46782 67.86310
## Jun 1945 53.80214 43.52650 64.07779 38.08690 69.51739
## Jul 1945 54.25118 43.95659 64.54576 38.50697 69.99539
## Aug 1945 53.42544 43.11877 63.73210 37.66275 69.18812
## Sep 1945 51.57791 41.27014 61.88569 35.81354 67.34229
## Oct 1945 49.22557 38.91278 59.53835 33.45353 64.99761
## Nov 1945 47.00525 36.66225 57.34824 31.18700 62.82349
## Dec 1945 45.50175 35.09716 55.90633 29.58930 61.41419
## Jan 1946 45.09422 34.61409 55.57436 29.06623 61.12221
## Feb 1946 45.86127 35.31936 56.40317 29.73881 61.98372
## Mar 1946 47.56812 36.99453 58.14171 31.39721 63.73903
## Apr 1946 49.73730 39.15681 60.31779 33.55584 65.91877
## May 1946 51.78163 41.20103 62.36224 35.59999 67.96327
## Jun 1946 53.16276 42.57596 63.74957 36.97164 69.35389
## Jul 1946 53.53252 42.93497 64.13006 37.32497 69.74007
## Aug 1946 52.82005 42.21611 63.42400 36.60272 69.03739
## Sep 1946 51.24318 40.63899 61.84736 35.02548 67.46088
## Oct 1946 49.24292 38.63357 59.85226 33.01732 65.46851
## Nov 1946 47.36064 36.72633 57.99495 31.09687 63.62442
## Dec 1946 46.09195 35.40922 56.77467 29.75413 62.42977
## Jan 1947 45.75654 35.01521 56.49787 29.32910 62.18399
## Feb 1947 46.41827 35.62869 57.20786 29.91703 62.91952
## Mar 1947 47.87505 37.05980 58.69029 31.33456 64.41554
## Apr 1947 49.71953 38.89782 60.54123 33.16916 66.26989
## May 1947 51.45258 40.63087 62.27428 34.90221 68.00295
## Jun 1947 52.61797 41.79322 63.44271 36.06295 69.17299
## Jul 1947 52.92213 42.09166 63.75259 36.35836 69.48590
## Aug 1947 52.30756 41.47403 63.14109 35.73911 68.87602
## Sep 1947 50.96176 40.12823 61.79529 34.39330 67.53022
## Oct 1947 49.26094 38.42213 60.09975 32.68441 65.83747
## Nov 1947 47.66530 36.80548 58.52513 31.05663 64.27397
## Dec 1947 46.59482 35.69625 57.49340 29.92689 63.26276
## Jan 1948 46.31907 35.37423 57.26391 29.58038 63.05776
## Feb 1948 46.88980 35.90657 57.87303 30.09240 63.68720
## Mar 1948 48.13306 37.12863 59.13749 31.30324 64.96289
## Apr 1948 49.70140 38.69084 60.71196 32.86220 66.54060
## May 1948 51.17051 40.15980 62.18122 34.33108 68.00994
## Jun 1948 52.15379 41.14182 63.16575 35.31244 68.99513
## Jul 1948 52.40371 41.38900 63.41842 35.55817 69.24925
## Aug 1948 51.87373 40.85781 62.88966 35.02633 68.72114
## Sep 1948 50.72521 39.70915 61.74126 33.87760 67.57281
## Oct 1948 49.27905 38.25763 60.30047 32.42324 66.13486
## Nov 1948 47.92644 36.88704 58.96584 31.04314 64.80974
## Dec 1948 47.02328 35.95235 58.09421 30.09176 63.95481
## Jan 1949 46.79683 35.68878 57.90488 29.80854 63.78513
## Feb 1949 47.28894 36.14983 58.42804 30.25315 64.32473
## Mar 1949 48.34993 37.19298 59.50688 31.28685 65.41302
## Apr 1949 49.68342 38.52059 60.84626 32.61134 66.75550
## May 1949 50.92875 39.76548 62.09202 33.85599 68.00151
## Jun 1949 51.75830 40.59467 62.92194 34.68500 68.83161
## Jul 1949 51.96342 40.79871 63.12814 34.88847 69.03838
## Aug 1949 51.50651 40.34147 62.67155 34.43106 68.58196
## Sep 1949 50.52639 39.36090 61.69188 33.45024 67.60253
## Oct 1949 49.29680 38.12589 60.46772 32.21236 66.38125
## Nov 1949 48.15025 36.96373 59.33678 31.04194 65.25856
## Dec 1949 47.38832 36.17574 58.60090 30.24016 64.53649
## Jan 1950 47.20258 35.95975 58.44541 30.00816 64.39700
## Feb 1950 47.62680 36.35843 58.89516 30.39332 64.86027
## Mar 1950 48.53219 37.24856 59.81583 31.27536 65.78903
## Apr 1950 49.66596 38.37663 60.95530 32.40042 66.93151
## May 1950 50.72156 39.43141 62.01171 33.45477 67.98835
## Jun 1950 51.42137 40.13120 62.71154 34.15454 68.68820
## Jul 1950 51.58950 40.29906 62.87995 34.32226 68.85675
## Aug 1950 51.19568 39.90522 62.48614 33.92841 68.46295
## Sep 1950 50.35931 39.06797 61.65065 33.09070 67.62793
## Oct 1950 49.31390 38.01709 60.61071 32.03692 66.59088
## Nov 1950 48.34205 37.03152 59.65259 31.04408 65.64002
## Dec 1950 47.69931 36.36692 59.03171 30.36792 65.03071
## Jan 1951 47.54717 36.18976 58.90458 30.17751 64.91682
## Feb 1951 47.91276 36.53403 59.29150 30.51050 65.31503
## Mar 1951 48.68534 37.29333 60.07736 31.26276 66.10793
## Apr 1951 49.64928 38.25170 61.04685 32.21819 67.08036
## May 1951 50.54401 39.14522 61.94280 33.11107 67.97696
## Jun 1951 51.13432 39.73549 62.53316 33.70131 68.56734
## Jul 1951 51.27196 39.87311 62.67080 33.83893 68.70498
## Aug 1951 50.93259 39.53368 62.33150 33.49946 68.36572
## Sep 1951 50.21893 38.81868 61.61918 32.78375 67.65411
## Oct 1951 49.33013 37.92439 60.73588 31.88656 66.77371
## Nov 1951 48.50640 37.08843 59.92437 31.04413 65.96868
## Dec 1951 47.96425 36.52769 59.40082 30.47354 65.45497
## Jan 1952 47.83980 36.38224 59.29736 30.31697 65.36262
## Feb 1952 48.15480 36.67917 59.63044 30.60433 65.70527
## Mar 1952 48.81402 37.32665 60.30138 31.24561 66.38242
## Apr 1952 49.63353 38.14071 61.12634 32.05679 67.21027
## May 1952 50.39189 38.89745 61.88632 32.81267 67.97111
## Jun 1952 50.88979 39.39508 62.38450 33.31015 68.46944
## Jul 1952 51.00229 39.50750 62.49708 33.42253 68.58205
## Aug 1952 50.70992 39.21479 62.20504 33.12964 68.29019
## Sep 1952 50.10100 38.60408 61.59792 32.51798 67.68402
## Oct 1952 49.34538 37.84296 60.84780 31.75395 66.93681
## Nov 1952 48.64721 37.13378 60.16064 31.03893 66.25549
## Dec 1952 48.18995 36.66048 59.71942 30.55714 65.82275
## Jan 1953 48.08830 36.54095 59.63564 30.42815 65.74844
## Feb 1953 48.35965 36.79675 59.92255 30.67572 66.04358
## Mar 1953 48.92210 37.34871 60.49550 31.22212 66.62208
## Apr 1953 49.61881 38.04005 61.19756 31.91063 67.32699
## May 1953 50.26156 38.68078 61.84233 32.55029 67.97282
## Jun 1953 50.68148 39.10009 62.26288 32.96927 68.39370
## Jul 1953 50.77330 39.19156 62.35503 33.06056 68.48604
## Aug 1953 50.52147 38.93901 62.10392 32.80763 68.23530
## Sep 1953 50.00194 38.41726 61.58662 32.28470 67.71918
## Oct 1953 49.35956 37.76939 60.94974 31.63392 67.08521
## Nov 1953 48.76784 37.16763 60.36805 31.02686 66.50882
## Dec 1953 48.38221 36.76798 59.99643 30.61979 66.14463
## Jan 1954 48.29932 36.66966 59.92897 30.51329 66.08534
## Feb 1954 48.53301 36.88979 60.17623 30.72624 66.33978
## Mar 1954 49.01288 37.36015 60.66562 31.19156 66.83420
## Apr 1954 49.60517 37.94714 61.26320 31.77575 67.43458
## May 1954 50.14991 38.48949 61.81032 32.31684 67.98297
## Jun 1954 50.50404 38.84260 62.16548 32.66941 68.33868
## Jul 1954 50.57884 38.91669 62.24100 32.74312 68.41457
## Aug 1954 50.36198 38.69869 62.02528 32.52451 68.19946
## Sep 1954 49.91875 38.25283 61.58467 32.07726 67.76024
## Oct 1954 49.37266 37.70126 61.04406 31.52279 67.22253
## Nov 1954 48.87117 37.19055 60.55179 31.00720 66.73514
## Dec 1954 48.54597 36.85294 60.23900 30.66303 66.42892
## Jan 1955 48.47850 36.77197 60.18503 30.57491 66.38210
## Feb 1955 48.67973 36.96120 60.39825 30.75779 66.60166
## Mar 1955 49.08912 37.36187 60.81637 31.15384 67.02440
## Apr 1955 49.59261 37.86012 61.32510 31.64932 67.53591
## May 1955 50.05428 38.31907 61.78949 32.10682 68.00173
## Jun 1955 50.35290 38.61624 62.08956 32.40323 68.30257
## Jul 1955 50.41373 38.67594 62.15151 32.46233 68.36512
## Aug 1955 50.22702 38.48766 61.96639 32.27321 68.18083
## Sep 1955 49.84889 38.10655 61.59124 31.89053 67.80726
## Oct 1955 49.38467 37.63687 61.13248 31.41796 67.35139
## Nov 1955 48.95968 37.20332 60.71604 30.97988 66.93948
## Dec 1955 48.68546 36.91800 60.45293 30.68867 66.68226
## Jan 1956 48.63065 36.85122 60.41009 30.61556 66.64574
## Feb 1956 48.80388 37.01370 60.59405 30.77236 66.83539
## Mar 1956 49.15312 37.35487 60.95138 31.10925 67.19700
## Apr 1956 49.58113 37.77768 61.38458 31.52930 67.63295
## May 1956 49.97237 38.16589 61.77885 31.91592 68.02882
## Jun 1956 50.22416 38.41583 62.03250 32.16487 68.28345
## Jul 1956 50.27353 38.46364 62.08342 32.21186 68.33519
## Aug 1956 50.11282 38.30092 61.92471 32.04809 68.17754
## Sep 1956 49.79025 37.97507 61.60543 31.72049 67.86000
## Oct 1956 49.39564 37.57502 61.21625 31.31756 67.47371
## Nov 1956 49.03548 37.20686 60.86409 30.94517 67.12578
## Dec 1956 48.80428 36.96560 60.64296 30.69858 66.90997
## Jan 1957 48.75984 36.91043 60.60925 30.63773 66.88195
## Feb 1957 48.90893 37.04979 60.76807 30.77194 67.04592
## Mar 1957 49.20686 37.34016 61.07356 31.05830 67.35541
## Apr 1957 49.57068 37.69882 61.44254 31.41423 67.72712
## May 1957 49.90222 38.02707 61.77738 31.74074 68.06371
## Jun 1957 50.11451 38.23711 61.99191 31.94960 68.27942
## Jul 1957 50.15448 38.27512 62.03385 31.98656 68.32241
## Aug 1957 50.01618 38.13442 61.89793 31.84460 68.18776
## Sep 1957 49.74102 37.85570 61.62633 31.56400 67.91804
## Oct 1957 49.40559 37.51487 61.29631 31.22030 67.59088
## Nov 1957 49.10039 37.20213 60.99865 30.90357 67.29721
## Dec 1957 48.90547 36.99800 60.81294 30.69457 67.11637
## Jan 1958 48.86953 36.95232 60.78674 30.64374 67.09533
## Feb 1958 48.99783 37.07171 60.92394 30.75841 67.23725
## Mar 1958 49.25196 37.31871 61.18521 31.00163 67.50229
## Apr 1958 49.56121 37.62283 61.49959 31.30303 67.81938
## May 1958 49.84216 37.90025 61.78407 31.57859 68.10573
## Jun 1958 50.02112 38.07661 61.96563 31.75357 68.28867
## Jul 1958 50.05341 38.10656 62.00027 31.78227 68.32455
## Aug 1958 49.93441 37.98481 61.88401 31.65907 68.20975
## Sep 1958 49.69970 37.74631 61.65310 31.41857 67.98084
## Oct 1958 49.41459 37.45582 61.37336 31.12523 67.70395
## Nov 1958 49.15597 37.19005 61.12189 30.85567 67.45626
## Dec 1958 48.99166 37.01723 60.96608 30.67835 67.30496
## Jan 1959 48.96266 36.97931 60.94602 30.63570 67.28962
## Feb 1959 49.07304 37.08144 61.06464 30.73347 67.41261
## Mar 1959 49.28980 37.29143 61.28818 30.93987 67.63973
## Apr 1959 49.55266 37.54918 61.55614 31.19492 67.91040
## May 1959 49.79073 37.78351 61.79794 31.42728 68.15418
## Jun 1959 49.94159 37.93145 61.95172 31.57367 68.30950
## Jul 1959 49.96760 37.95477 61.98043 31.59556 68.33964
## Aug 1959 49.86523 37.84933 61.88112 31.48850 68.24195
## Sep 1959 49.66504 37.64516 61.68491 31.28222 68.04785
## Oct 1959 49.42270 37.39748 61.44792 31.03171 67.81369
## Nov 1959 49.20355 37.17151 61.23560 30.80213 67.60498
## Dec 1959 49.06505 37.02508 61.10503 30.65150 67.47861
## Jan 1960 49.04173 36.99349 61.08997 30.61554 67.46792
## Feb 1960 49.13668 37.08074 61.19261 30.69872 67.57463
## Mar 1960 49.32156 37.25914 61.38397 30.87368 67.76943
## Apr 1960 49.54498 37.47748 61.61248 31.08933 68.00062
## May 1960 49.74670 37.67529 61.81811 31.28507 68.20833
## Jun 1960 49.87385 37.79924 61.94846 31.40733 68.34037
## Jul 1960 49.89475 37.81712 61.97237 31.42362 68.36587
## Aug 1960 49.80669 37.72573 61.88765 31.33046 68.28293
## Sep 1960 49.63595 37.55084 61.72106 31.15337 68.11853
## Oct 1960 49.42998 37.33956 61.52040 30.93928 67.92068
## Nov 1960 49.24429 37.14733 61.34126 30.74359 67.74500
## Dec 1960 49.12756 37.02315 61.23198 30.61545 67.63967
## Jan 1961 49.10886 36.99673 61.22099 30.58495 67.63277
## Feb 1961 49.19051 37.07114 61.30989 30.65553 67.72550
## Mar 1961 49.34820 37.22258 61.47381 30.80367 67.89272
## Apr 1961 49.53809 37.40741 61.66876 30.98582 68.09035
## May 1961 49.70900 37.57427 61.84374 31.15052 68.26748
## Jun 1961 49.81617 37.67798 61.95435 31.25242 68.37992
## Jul 1961 49.83289 37.69142 61.97436 31.26412 68.40167
## Aug 1961 49.75718 37.61213 61.90222 31.18293 68.33143
## Sep 1961 49.61156 37.46222 61.76089 31.03075 68.19236
## Oct 1961 49.43649 37.28189 61.59110 30.84762 68.02537
## Nov 1961 49.27917 37.11825 61.44009 30.68065 67.87769
## Dec 1961 49.18079 37.01282 61.34876 30.57148 67.79010
## Jan 1962 49.16585 36.99061 61.34108 30.54543 67.78626
## Feb 1962 49.23606 37.05395 61.41816 30.60514 67.86698
## Mar 1962 49.37054 37.18240 61.55867 30.73039 68.01068
## Apr 1962 49.53193 37.33875 61.72510 30.88407 68.17978
## May 1962 49.67674 37.47937 61.87411 31.02247 68.33100
## Jun 1962 49.76705 37.56602 61.96808 31.10718 68.42691
## Jul 1962 49.78039 37.57583 61.98494 31.11513 68.44564
## Aug 1962 49.71528 37.50695 61.92362 31.04424 68.38633
## Sep 1962 49.59110 37.37836 61.80383 30.91333 68.26886
## Oct 1962 49.44231 37.22434 61.66029 30.75653 68.12810
## Nov 1962 49.30902 37.08494 61.53310 30.61390 68.00414
## Dec 1962 49.22612 36.99532 61.45692 30.52072 67.93152
## Jan 1963 49.21423 36.97654 61.45192 30.49829 67.93016
## Feb 1963 49.27459 37.03034 61.51883 30.54863 68.00055
## Mar 1963 49.38927 37.13917 61.63937 30.65436 68.12418
## Apr 1963 49.52643 37.27131 61.78156 30.78384 68.26903
## May 1963 49.64912 37.38970 61.90855 30.89995 68.39830
## Jun 1963 49.72522 37.46195 61.98849 30.97016 68.48028
## Jul 1963 49.73581 37.46881 62.00281 30.97505 68.49657
## Aug 1963 49.67985 37.40889 61.95081 30.91303 68.44666
## Sep 1963 49.57394 37.29849 61.84939 30.80026 68.34762
## Oct 1963 49.44750 37.16684 61.72815 30.66585 68.22914
## Nov 1963 49.33457 37.04798 61.62116 30.54386 68.12528
## Dec 1963 49.26472 36.97169 61.55774 30.46416 68.06528
## Jan 1964 49.25530 36.95570 61.55490 30.44468 68.06591
## Feb 1964 49.30718 37.00129 61.61307 30.48694 68.12742
## Mar 1964 49.40498 37.09338 61.71658 30.57601 68.23394
## Apr 1964 49.52154 37.20494 61.83815 30.68492 68.35816
## May 1964 49.62549 37.30449 61.94648 30.78215 68.46882
## Jun 1964 49.68960 37.36460 62.01460 30.84014 68.53906
## Jul 1964 49.69797 37.36907 62.02688 30.84254 68.55340
## Aug 1964 49.64987 37.31686 61.98288 30.78816 68.51158
## Sep 1964 49.55956 37.22199 61.89714 30.69087 68.42825
## Oct 1964 49.45211 37.10936 61.79485 30.57550 68.32871
## Nov 1964 49.35643 37.00791 61.70496 30.47099 68.24188
## Dec 1964 49.29758 36.94286 61.65231 30.40266 68.19251
## Jan 1965 49.29016 36.92912 61.65119 30.38559 68.19473
## Feb 1965 49.33475 36.96764 61.70186 30.42089 68.24861
## Mar 1965 49.41814 37.04546 61.79083 30.49575 68.34053
## Apr 1965 49.51720 37.13953 61.89488 30.58718 68.44722
## May 1965 49.60526 37.22312 61.98740 30.66841 68.54211
## Jun 1965 49.65928 37.27300 62.04555 30.71610 68.60245
## Jul 1965 49.66585 37.27552 62.05618 30.71647 68.61523
## Aug 1965 49.62452 37.22996 62.01908 30.66867 68.58036
## Sep 1965 49.54751 37.14833 61.94669 30.58459 68.51043
## Oct 1965 49.45619 37.05187 61.86052 30.48541 68.42697
## Nov 1965 49.37514 36.96517 61.78512 30.39573 68.35456
## Dec 1965 49.32557 36.90960 61.74154 30.33698 68.31416
## Jan 1966 49.31975 36.89770 61.74181 30.32186 68.31765
## Feb 1966 49.35807 36.93013 61.78601 30.35117 68.36496
## Mar 1966 49.42918 36.99577 61.86258 30.41392 68.44443
## Apr 1966 49.51336 37.07498 61.95174 30.49050 68.53622
## May 1966 49.58795 37.14504 62.03086 30.55817 68.61774
## Jun 1966 49.63345 37.18630 62.08061 30.59717 68.66974
## Jul 1966 49.63859 37.18725 62.08992 30.59591 68.68126
## Aug 1966 49.60307 37.14741 62.05874 30.55377 68.65237
## Sep 1966 49.53741 37.07708 61.99775 30.48097 68.59385
## Oct 1966 49.45981 36.99437 61.92525 30.39556 68.52406
## Nov 1966 49.39115 36.92018 61.86213 30.31844 68.46387
## Dec 1966 49.34939 36.87259 61.82620 30.26777 68.43102
## Jan 1967 49.34487 36.86217 61.82757 30.25423 68.43551
## Feb 1967 49.37779 36.88937 61.86621 30.27840 68.47718
## Mar 1967 49.43842 36.94462 61.93221 30.33081 68.54603
## Apr 1967 49.50995 37.01120 62.00870 30.39477 68.62514
## May 1967 49.57314 37.06982 62.07647 30.45095 68.69533
## Jun 1967 49.61147 37.10380 62.11914 30.48264 68.74030
## Jul 1967 49.61544 37.10349 62.12740 30.48007 68.75082
## Aug 1967 49.58494 37.06857 62.10130 30.44280 68.72707
## Sep 1967 49.52895 37.00788 62.05002 30.37962 68.67828
## Oct 1967 49.46301 36.93686 61.98916 30.30592 68.62010
## Nov 1967 49.40485 36.87327 61.93643 30.23945 68.57025
## Dec 1967 49.36968 36.83242 61.90694 30.19559 68.54376
## Jan 1968 49.36619 36.82320 61.90918 30.18334 68.54904
## Feb 1968 49.39447 36.84589 61.94305 30.20308 68.58586
## Mar 1968 49.44616 36.89229 62.00003 30.24668 68.64565
## Apr 1968 49.50695 36.94814 62.06575 30.29991 68.71398
## May 1968 49.56047 36.99705 62.12390 30.34637 68.77457
## Jun 1968 49.59275 37.02491 62.16059 30.37190 68.81361
## Jul 1968 49.59580 37.02359 62.16801 30.36827 68.82334
## Aug 1968 49.56960 36.99290 62.14629 30.33520 68.80399
## Sep 1968 49.52186 36.94044 62.10329 30.28024 68.76349
## Oct 1968 49.46583 36.87936 62.05230 30.21649 68.71518
## Nov 1968 49.41657 36.82475 62.00839 30.15905 68.67409
## Dec 1968 49.38695 36.78958 61.98431 30.12094 68.65295
## Jan 1969 49.38429 36.78133 61.98725 30.10973 68.65885
## Feb 1969 49.40857 36.80015 62.01700 30.12565 68.69150
## Mar 1969 49.45265 36.83900 62.06629 30.16174 68.74355
## Apr 1969 49.50430 36.88573 62.12286 30.20587 68.80273
## May 1969 49.54964 36.92642 62.17285 30.24409 68.85518
## Jun 1969 49.57682 36.94913 62.20451 30.26443 68.88921
## Jul 1969 49.57913 36.94700 62.21126 30.25995 68.89831
## Aug 1969 49.55662 36.91995 62.19330 30.23050 68.88275
## Sep 1969 49.51593 36.87451 62.15735 30.18255 68.84932
## Oct 1969 49.46832 36.82188 62.11476 30.12726 68.80938
## Nov 1969 49.42659 36.77489 62.07830 30.07748 68.77571
## Dec 1969 49.40165 36.74451 62.05879 30.04422 68.75908
## Jan 1970 49.39965 36.73703 62.06226 30.03385 68.76544
## Feb 1970 49.42050 36.75252 62.08848 30.04650 68.79451
## Mar 1970 49.45808 36.78494 62.13121 30.07619 68.83996
## Apr 1970 49.50196 36.82393 62.18000 30.11258 68.89135
## May 1970 49.54036 36.85765 62.22308 30.14383 68.93690
## Jun 1970 49.56325 36.87601 62.25049 30.15979 68.96671
## Jul 1970 49.56498 36.87324 62.25672 30.15464 68.97532
## Aug 1970 49.54566 36.84934 62.24197 30.12831 68.96300
## Sep 1970 49.51096 36.80988 62.21204 30.08634 68.93559
## Oct 1970 49.47051 36.76444 62.17658 30.03826 68.90276
## Nov 1970 49.43517 36.72390 62.14644 29.99496 68.87537
## Dec 1970 49.41417 36.69756 62.13077 29.96580 68.86254
## Jan 1971 49.41268 36.69071 62.13466 29.95611 68.86926
## Feb 1971 49.43059 36.70334 62.15784 29.96594 68.89524
## Mar 1971 49.46262 36.73027 62.19497 29.99017 68.93507
## Apr 1971 49.49991 36.76268 62.23714 30.01999 68.97983
## May 1971 49.53243 36.79051 62.27436 30.04534 69.01953
## Jun 1971 49.55171 36.80521 62.29820 30.05763 69.04578
## Jul 1971 49.55297 36.80194 62.30401 30.05195 69.05400
## Aug 1971 49.53638 36.78073 62.29203 30.02830 69.04446
## Sep 1971 49.50681 36.74639 62.26722 29.99143 69.02218
## Oct 1971 49.47244 36.70706 62.23781 29.94948 68.99539
## Nov 1971 49.44250 36.67199 62.21302 29.91169 68.97332
## Dec 1971 49.42482 36.64905 62.20059 29.88597 68.96367
## Jan 1972 49.42375 36.64270 62.20479 29.87683 68.97067
## Feb 1972 49.43912 36.65288 62.22536 29.88425 68.99399
## Mar 1972 49.46642 36.67513 62.25772 29.90383 69.02902
## Apr 1972 49.49811 36.70195 62.29426 29.92807 69.06814
## May 1972 49.52565 36.72479 62.32651 29.94842 69.10288
## Jun 1972 49.54188 36.73641 62.34734 29.95761 69.12614
## Jul 1972 49.54278 36.73274 62.35282 29.95152 69.13404
## Aug 1972 49.52854 36.71386 62.34322 29.93018 69.12690
## Sep 1972 49.50333 36.68388 62.32278 29.89767 69.10898
## Oct 1972 49.47413 36.64975 62.29851 29.86093 69.08732
## Nov 1972 49.44877 36.61931 62.27824 29.82781 69.06974
## Dec 1972 49.43389 36.59925 62.26853 29.80500 69.06278
## Jan 1973 49.43314 36.59330 62.27297 29.79630 69.06997
## Feb 1973 49.44633 36.60136 62.29130 29.80165 69.09101
## Mar 1973 49.46961 36.61964 62.31958 29.81727 69.12194
## Apr 1973 49.49652 36.64170 62.35134 29.83677 69.15627
## May 1973 49.51985 36.66032 62.37938 29.85290 69.18680
## Jun 1973 49.53351 36.66936 62.39766 29.85949 69.20753
## Jul 1973 49.53413 36.66538 62.40289 29.85307 69.21519
## Aug 1973 49.52191 36.64849 62.39532 29.83372 69.21009
## Sep 1973 49.50042 36.62224 62.37860 29.80494 69.19590
## Oct 1973 49.47561 36.59252 62.35870 29.77263 69.17859
## Nov 1973 49.45414 36.56602 62.34226 29.74346 69.16482
## Dec 1973 49.44161 36.54838 62.33484 29.72312 69.16011
## Jan 1974 49.44110 36.54275 62.33946 29.71477 69.16744
## Feb 1974 49.45243 36.54900 62.35585 29.71834 69.18652
## Mar 1974 49.47227 36.56388 62.38065 29.73059 69.21394
## Apr 1974 49.49513 36.58192 62.40835 29.74607 69.24420
## May 1974 49.51489 36.59696 62.43282 29.75862 69.27116
## Jun 1974 49.52638 36.60381 62.44895 29.76302 69.28975
## Jul 1974 49.52679 36.59960 62.45399 29.75635 69.29723
## Aug 1974 49.51630 36.58444 62.44816 29.73872 69.29388
## Sep 1974 49.49798 36.56136 62.43461 29.71312 69.28285
## Oct 1974 49.47691 36.53540 62.41841 29.68458 69.26924
## Nov 1974 49.45873 36.51223 62.40522 29.65877 69.25868
## Dec 1974 49.44818 36.49664 62.39973 29.64050 69.25586
## Jan 1975 49.44786 36.49125 62.40447 29.63244 69.26329
## Feb 1975 49.45758 36.49596 62.41921 29.63449 69.28068
## Mar 1975 49.47449 36.50794 62.44104 29.64387 69.30512
## Apr 1975 49.49392 36.52256 62.46528 29.65594 69.33190
## May 1975 49.51065 36.53458 62.48672 29.66546 69.35584
## Jun 1975 49.52032 36.53960 62.50105 29.66802 69.37263
## Jul 1975 49.52056 36.53520 62.50592 29.66117 69.37996
## Aug 1975 49.51156 36.52152 62.50160 29.64501 69.37811
## Sep 1975 49.49595 36.50115 62.49075 29.62212 69.36977
## Oct 1975 49.47804 36.47839 62.47769 29.59679 69.35929
## Nov 1975 49.46265 36.45805 62.46724 29.57384 69.35146
## Dec 1975 49.45377 36.44418 62.46337 29.55732 69.35023
## Jan 1976 49.45360 36.43900 62.46820 29.54949 69.35772
## Feb 1976 49.46194 36.44237 62.48151 29.55023 69.37365
## Mar 1976 49.47635 36.45190 62.50081 29.55717 69.39554
## Apr 1976 49.49286 36.46361 62.52210 29.56634 69.41937
## May 1976 49.50702 36.47307 62.54098 29.57330 69.44074
## Jun 1976 49.51516 36.47655 62.55378 29.57432 69.45600
## Jul 1976 49.51528 36.47202 62.55854 29.56733 69.46323
## Aug 1976 49.50755 36.45961 62.55550 29.55245 69.46266
## Sep 1976 49.49425 36.44156 62.54694 29.53188 69.45662
## Oct 1976 49.47904 36.42152 62.53656 29.50928 69.44879
## Nov 1976 49.46600 36.40358 62.52843 29.48875 69.44326
## Dec 1976 49.45854 36.39116 62.52591 29.47371 69.44336
## Jan 1977 49.45847 36.38614 62.53080 29.46606 69.45088
## Feb 1977 49.46562 36.38837 62.54288 29.46569 69.46556
## Mar 1977 49.47791 36.39580 62.56002 29.47054 69.48527
## Apr 1977 49.49193 36.40504 62.57881 29.47726 69.50659
## May 1977 49.50392 36.41233 62.59551 29.48206 69.52578
## Jun 1977 49.51077 36.41452 62.60702 29.48178 69.53976
## Jul 1977 49.51079 36.40989 62.61169 29.47469 69.54689
## Aug 1977 49.50417 36.39859 62.60975 29.46091 69.54742
## Sep 1977 49.49283 36.38251 62.60315 29.44233 69.54333
## Oct 1977 49.47991 36.36478 62.59503 29.42205 69.53776
## Nov 1977 49.46887 36.34887 62.58886 29.40357 69.53416
## Dec 1977 49.46259 36.33769 62.58749 29.38978 69.53539
## Jan 1978 49.46260 36.33279 62.59241 29.38228 69.54292
## Feb 1978 49.46874 36.33404 62.60343 29.38096 69.55652
## Mar 1978 49.47921 36.33969 62.61872 29.38404 69.57437
## Apr 1978 49.49112 36.34684 62.63539 29.38868 69.59355
## May 1978 49.50127 36.35230 62.65025 29.39165 69.61089
## Jun 1978 49.50703 36.35340 62.66067 29.39029 69.62378
## Jul 1978 49.50699 36.34870 62.66527 29.38313 69.63085
## Aug 1978 49.50131 36.33835 62.66427 29.37029 69.63232
## Sep 1978 49.49164 36.32396 62.65933 29.35341 69.62988
## Oct 1978 49.48066 36.30820 62.65313 29.33511 69.62621
## Nov 1978 49.47132 36.29401 62.64862 29.31837 69.62426
## Dec 1978 49.46603 36.28386 62.64821 29.30564 69.62643
## Jan 1979 49.46611 36.27906 62.65315 29.29827 69.63395
## Feb 1979 49.47137 36.27948 62.66326 29.29612 69.64662
## Mar 1979 49.48029 36.28361 62.67697 29.29771 69.66287
## Apr 1979 49.49041 36.28899 62.69183 29.30057 69.68024
## May 1979 49.49901 36.29290 62.70512 29.30201 69.69601
## Jun 1979 49.50385 36.29309 62.71462 29.29973 69.70797
## Jul 1979 49.50376 36.28835 62.71917 29.29253 69.71499
## Aug 1979 49.49889 36.27880 62.71897 29.28051 69.71726
## Sep 1979 49.49065 36.26586 62.71545 29.26507 69.71623
## Oct 1979 49.48133 36.25177 62.71088 29.24847 69.71418
## Nov 1979 49.47341 36.23905 62.70777 29.23321 69.71362
## Dec 1979 49.46897 36.22978 62.70816 29.22137 69.71656
## Jan 1980 49.46908 36.22506 62.71310 29.21409 69.72407
## Feb 1980 49.47359 36.22476 62.72243 29.21125 69.73594
## Mar 1980 49.48120 36.22759 62.73480 29.21156 69.75083
## Apr 1980 49.48979 36.23146 62.74811 29.21293 69.76665
## May 1980 49.49707 36.23407 62.76007 29.21306 69.78108
## Jun 1980 49.50115 36.23349 62.76880 29.21002 69.79227
## Jul 1980 49.50102 36.22872 62.77332 29.20280 69.79924
## Aug 1980 49.49684 36.21988 62.77380 29.19149 69.80219
## Sep 1980 49.48982 36.20817 62.77148 29.17729 69.80236
## Oct 1980 49.48190 36.19551 62.76830 29.16212 69.80169
## Nov 1980 49.47520 36.18404 62.76637 29.14812 69.80229
## Dec 1980 49.47147 36.17550 62.76743 29.13704 69.80589
## Jan 1981 49.47160 36.17084 62.77237 29.12984 69.81336
## Feb 1981 49.47547 36.16993 62.78101 29.12640 69.82454
## Mar 1981 49.48195 36.17167 62.79224 29.12563 69.83828
## Apr 1981 49.48925 36.17426 62.80424 29.12573 69.85277
## May 1981 49.49541 36.17576 62.81507 29.12476 69.86607
## Jun 1981 49.49884 36.17455 62.82314 29.12109 69.87659
## Jul 1981 49.49870 36.16976 62.82763 29.11385 69.88354
## Aug 1981 49.49511 36.16153 62.82870 29.10315 69.88707
## Sep 1981 49.48913 36.15087 62.82740 29.09002 69.88825
## Oct 1981 49.48241 36.13942 62.82539 29.07608 69.88874
## Nov 1981 49.47673 36.12900 62.82446 29.06314 69.89032
## Dec 1981 49.47359 36.12110 62.82609 29.05271 69.89447
## Jan 1982 49.47374 36.11648 62.83100 29.04558 69.90191
## Feb 1982 49.47706 36.11505 62.83907 29.04163 69.91249
## Mar 1982 49.48258 36.11585 62.84931 29.03993 69.92523
## Apr 1982 49.48878 36.11737 62.86019 29.03897 69.93859
## May 1982 49.49400 36.11793 62.87007 29.03707 69.95093
## Jun 1982 49.49688 36.11618 62.87758 29.03287 69.96089
## Jul 1982 49.49672 36.11140 62.88205 29.02563 69.96782
## Aug 1982 49.49365 36.10368 62.88362 29.01546 69.97184
## Sep 1982 49.48856 36.09392 62.88319 29.00323 69.97388
## Oct 1982 49.48284 36.08351 62.88217 28.99034 69.97535
## Nov 1982 49.47804 36.07399 62.88209 28.97832 69.97777
## Dec 1982 49.47540 36.06661 62.88419 28.96843 69.98237
## Jan 1983 49.47556 36.06204 62.88908 28.96135 69.98977
## Feb 1983 49.47840 36.06016 62.89665 28.95697 69.99984
## Mar 1983 49.48311 36.06017 62.90605 28.95449 70.01172
## Apr 1983 49.48837 36.06077 62.91598 28.95262 70.02412
## May 1983 49.49279 36.06055 62.92503 28.94995 70.03563
## Jun 1983 49.49521 36.05835 62.93208 28.94530 70.04513
## Jul 1983 49.49505 36.05357 62.93654 28.93808 70.05203
## Aug 1983 49.49242 36.04630 62.93853 28.92836 70.05647
## Sep 1983 49.48808 36.03731 62.93884 28.91691 70.05924
## Oct 1983 49.48322 36.02779 62.93866 28.90491 70.06154
## Nov 1983 49.47916 36.01903 62.93929 28.89366 70.06466
## Dec 1983 49.47694 36.01210 62.94178 28.88424 70.06964
## Jan 1984 49.47710 36.00755 62.94665 28.87720 70.07700
## Feb 1984 49.47954 36.00529 62.95378 28.87246 70.08662
## Mar 1984 49.48355 36.00463 62.96246 28.86932 70.09777
## Apr 1984 49.48802 36.00445 62.97158 28.86669 70.10935
## May 1984 49.49176 36.00357 62.97995 28.86335 70.12016
## Jun 1984 49.49379 36.00099 62.98659 28.85834 70.12925
## Jul 1984 49.49363 35.99623 62.99104 28.85113 70.13613
## Aug 1984 49.49137 35.98935 62.99340 28.84181 70.14094
## Sep 1984 49.48768 35.98102 62.99433 28.83103 70.14432
## Oct 1984 49.48355 35.97225 62.99486 28.81979 70.14732
## Nov 1984 49.48011 35.96413 62.99610 28.80920 70.15102
## Dec 1984 49.47825 35.95758 62.99891 28.80018 70.15632
## Jan 1985 49.47841 35.95306 63.00375 28.79318 70.16364
## Feb 1985 49.48050 35.95048 63.01051 28.78813 70.17287
## Mar 1985 49.48391 35.94925 63.01858 28.78443 70.18340
## Apr 1985 49.48771 35.94841 63.02700 28.78115 70.19427
## May 1985 49.49088 35.94697 63.03478 28.77726 70.20449
## Jun 1985 49.49259 35.94408 63.04109 28.77194 70.21323
## Jul 1985 49.49243 35.93933 63.04553 28.76476 70.22010
## Aug 1985 49.49049 35.93279 63.04819 28.75578 70.22521
## Sep 1985 49.48734 35.92503 63.04966 28.74557 70.22911
## Oct 1985 49.48384 35.91689 63.05079 28.73498 70.23270
## Nov 1985 49.48093 35.90933 63.05253 28.72496 70.23690
## Dec 1985 49.47936 35.90311 63.05562 28.71627 70.24245
## Jan 1986 49.47952 35.89861 63.06043 28.70931 70.24973
## Feb 1986 49.48131 35.89575 63.06686 28.70399 70.25862
## Mar 1986 49.48422 35.89403 63.07440 28.69982 70.26861
## Apr 1986 49.48744 35.89264 63.08224 28.69599 70.27889
## May 1986 49.49012 35.89073 63.08951 28.69164 70.28860
## Jun 1986 49.49156 35.88758 63.09554 28.68607 70.29705
## Jul 1986 49.49141 35.88285 63.09997 28.67891 70.30390
## Aug 1986 49.48975 35.87660 63.10290 28.67024 70.30926
## Sep 1986 49.48706 35.86932 63.10481 28.66052 70.31361
## Oct 1986 49.48409 35.86173 63.10645 28.65049 70.31769
## Nov 1986 49.48163 35.85464 63.10861 28.64095 70.32230
## Dec 1986 49.48031 35.84869 63.11193 28.63255 70.32807
## Jan 1987 49.48046 35.84421 63.11671 28.62561 70.33530
## Feb 1987 49.48199 35.84112 63.12287 28.62007 70.34391
## Mar 1987 49.48447 35.83898 63.12995 28.61550 70.35344
## Apr 1987 49.48721 35.83713 63.13729 28.61122 70.36320
## May 1987 49.48948 35.83482 63.14413 28.60648 70.37247
## Jun 1987 49.49068 35.83146 63.14991 28.60070 70.38067
## Jul 1987 49.49054 35.82675 63.15434 28.59357 70.38751
## Aug 1987 49.48912 35.82075 63.15749 28.58516 70.39308
## Sep 1987 49.48683 35.81388 63.15978 28.57586 70.39781
## Oct 1987 49.48431 35.80676 63.16185 28.56631 70.40231
## Nov 1987 49.48222 35.80007 63.16437 28.55718 70.40727
## Dec 1987 49.48112 35.79436 63.16788 28.54902 70.41321
## Jan 1988 49.48125 35.78989 63.17262 28.54211 70.42040
## Feb 1988 49.48257 35.78660 63.17854 28.53639 70.42875
## Mar 1988 49.48468 35.78412 63.18524 28.53148 70.43788
## Apr 1988 49.48701 35.78187 63.19214 28.52681 70.44720
## May 1988 49.48893 35.77923 63.19862 28.52175 70.45610
## Jun 1988 49.48994 35.77569 63.20420 28.51580 70.46408
## Jul 1988 49.48981 35.77100 63.20861 28.50870 70.47091
## Aug 1988 49.48859 35.76522 63.21195 28.50051 70.47667
## Sep 1988 49.48664 35.75871 63.21457 28.49158 70.48170
## Oct 1988 49.48450 35.75199 63.21700 28.48244 70.48655
## Nov 1988 49.48273 35.74564 63.21982 28.47366 70.49180
## Dec 1988 49.48180 35.74012 63.22348 28.46572 70.49789
## Jan 1989 49.48193 35.73567 63.22820 28.45883 70.50503
## Feb 1989 49.48306 35.73221 63.23390 28.45295 70.51316
## Mar 1989 49.48486 35.72944 63.24027 28.44776 70.52195
## Apr 1989 49.48683 35.72686 63.24681 28.44277 70.53090
## May 1989 49.48846 35.72393 63.25298 28.43744 70.53947
## Jun 1989 49.48931 35.72025 63.25837 28.43135 70.54727
## Jul 1989 49.48918 35.71558 63.26278 28.42428 70.55409
## Aug 1989 49.48814 35.71000 63.26628 28.41629 70.55999
## Sep 1989 49.48648 35.70379 63.26917 28.40767 70.56529
## Oct 1989 49.48466 35.69741 63.27191 28.39888 70.57044
## Nov 1989 49.48317 35.69135 63.27498 28.39041 70.57592
## Dec 1989 49.48239 35.68601 63.27876 28.38264 70.58213
## Jan 1990 49.48251 35.68156 63.28345 28.37578 70.58923
## Feb 1990 49.48347 35.67797 63.28897 28.36977 70.59717
## Mar 1990 49.48500 35.67495 63.29506 28.36434 70.60566
## Apr 1990 49.48668 35.67208 63.30127 28.35908 70.61428
## May 1990 49.48805 35.66893 63.30718 28.35352 70.62258
## Jun 1990 49.48877 35.66512 63.31242 28.34732 70.63022
## Jul 1990 49.48865 35.66048 63.31683 28.34028 70.63702
## Aug 1990 49.48776 35.65506 63.32046 28.33247 70.64305
## Sep 1990 49.48635 35.64911 63.32358 28.32412 70.64857
## Oct 1990 49.48480 35.64303 63.32657 28.31564 70.65397
## Nov 1990 49.48354 35.63722 63.32985 28.30742 70.65965
## Dec 1990 49.48288 35.63202 63.33374 28.29981 70.66595
## Jan 1991 49.48299 35.62758 63.33840 28.29297 70.67301
## Feb 1991 49.48382 35.62387 63.34377 28.28686 70.68078
## Mar 1991 49.48512 35.62064 63.34960 28.28123 70.68902
## Apr 1991 49.48655 35.61754 63.35555 28.27574 70.69736
## May 1991 49.48771 35.61419 63.36123 28.27000 70.70543
## Jun 1991 49.48831 35.61028 63.36634 28.26370 70.71292
## Jul 1991 49.48821 35.60567 63.37074 28.25670 70.71971
## Aug 1991 49.48744 35.60039 63.37449 28.24904 70.72585
## Sep 1991 49.48624 35.59468 63.37780 28.24093 70.73155
## Oct 1991 49.48492 35.58884 63.38101 28.23270 70.73715
## Nov 1991 49.48385 35.58325 63.38446 28.22471 70.74300
## Dec 1991 49.48330 35.57817 63.38844 28.21724 70.74937
## Jan 1992 49.48340 35.57375 63.39306 28.21042 70.75639
## Feb 1992 49.48411 35.56993 63.39829 28.20421 70.76401
## Mar 1992 49.48522 35.56653 63.40392 28.19842 70.77203
## Apr 1992 49.48643 35.56323 63.40963 28.19274 70.78013
## May 1992 49.48742 35.55972 63.41512 28.18684 70.78799
## Jun 1992 49.48792 35.55573 63.42011 28.18047 70.79537
## Jul 1992 49.48783 35.55114 63.42451 28.17351 70.80215
## Aug 1992 49.48717 35.54599 63.42835 28.16598 70.80836
## Sep 1992 49.48615 35.54047 63.43182 28.15807 70.81422
## Oct 1992 49.48503 35.53485 63.43521 28.15007 70.81999
## Nov 1992 49.48413 35.52944 63.43881 28.14228 70.82597
## Dec 1992 49.48366 35.52447 63.44286 28.13492 70.83241
## Jan 1993 49.48375 35.52006 63.44745 28.12812 70.83939
## Feb 1993 49.48436 35.51616 63.45256 28.12184 70.84688
## Mar 1993 49.48531 35.51261 63.45800 28.11591 70.85470
## Apr 1993 49.48633 35.50915 63.46352 28.11008 70.86259
## May 1993 49.48717 35.50550 63.46883 28.10405 70.87028
## Jun 1993 49.48759 35.50145 63.47374 28.09763 70.87755
## Jul 1993 49.48750 35.49688 63.47813 28.09069 70.88432
## Aug 1993 49.48694 35.49184 63.48204 28.08328 70.89060
## Sep 1993 49.48607 35.48649 63.48565 28.07556 70.89658
## Oct 1993 49.48512 35.48106 63.48919 28.06775 70.90250
## Nov 1993 49.48436 35.47580 63.49291 28.06012 70.90859
## Dec 1993 49.48397 35.47093 63.49701 28.05287 70.91507
## Jan 1994 49.48405 35.46652 63.50158 28.04609 70.92201
## Feb 1994 49.48457 35.46256 63.50658 28.03975 70.92939
## Mar 1994 49.48538 35.45889 63.51187 28.03371 70.93704
## Apr 1994 49.48625 35.45529 63.51721 28.02774 70.94475
## May 1994 49.48695 35.45152 63.52238 28.02162 70.95229
## Jun 1994 49.48731 35.44742 63.52720 28.01515 70.95947
## Jul 1994 49.48723 35.44288 63.53158 28.00824 70.96622
## Aug 1994 49.48675 35.43793 63.53557 28.00094 70.97256
## Sep 1994 49.48601 35.43273 63.53929 27.99337 70.97864
## Oct 1994 49.48520 35.42745 63.54295 27.98573 70.98467
## Nov 1994 49.48455 35.42234 63.54677 27.97825 70.99086
## Dec 1994 49.48423 35.41754 63.55092 27.97109 70.99737
## Jan 1995 49.48430 35.41315 63.55546 27.96433 71.00428
## Feb 1995 49.48475 35.40913 63.56037 27.95794 71.01155
## Mar 1995 49.48543 35.40535 63.56552 27.95181 71.01906
## Apr 1995 49.48617 35.40164 63.57071 27.94574 71.02661
## May 1995 49.48677 35.39778 63.57576 27.93953 71.03402
## Jun 1995 49.48707 35.39364 63.58050 27.93302 71.04112
## Jul 1995 49.48700 35.38912 63.58488 27.92615 71.04785
## Aug 1995 49.48659 35.38426 63.58891 27.91894 71.05423
## Sep 1995 49.48595 35.37918 63.59273 27.91150 71.06040
## Oct 1995 49.48527 35.37405 63.59650 27.90402 71.06653
## Nov 1995 49.48472 35.36905 63.60040 27.89666 71.07279
## Dec 1995 49.48445 35.36432 63.60458 27.88958 71.07932
## Jan 1996 49.48452 35.35994 63.60910 27.88284 71.08620
## Feb 1996 49.48490 35.35587 63.61392 27.87642 71.09338
## Mar 1996 49.48548 35.35201 63.61895 27.87021 71.10076
## Apr 1996 49.48611 35.34820 63.62402 27.86405 71.10817
## May 1996 49.48662 35.34427 63.62896 27.85777 71.11546
## Jun 1996 49.48687 35.34009 63.63364 27.85124 71.12249
## Jul 1996 49.48680 35.33560 63.63801 27.84440 71.12920
## Aug 1996 49.48645 35.33082 63.64208 27.83728 71.13562
## Sep 1996 49.48591 35.32585 63.64598 27.82996 71.14186
## Oct 1996 49.48533 35.32083 63.64983 27.82260 71.14806
## Nov 1996 49.48487 35.31593 63.65380 27.81536 71.15438
## Dec 1996 49.48464 35.31127 63.65800 27.80834 71.16093
## Jan 1997 49.48470 35.30690 63.66250 27.80162 71.16777
## Feb 1997 49.48502 35.30279 63.66725 27.79518 71.17487
## Mar 1997 49.48552 35.29887 63.67218 27.78890 71.18214
## Apr 1997 49.48606 35.29498 63.67713 27.78267 71.18944
## May 1997 49.48648 35.29099 63.68198 27.77634 71.19662
## Jun 1997 49.48669 35.28678 63.68660 27.76980 71.20358
## Jul 1997 49.48664 35.28231 63.69096 27.76299 71.21028
## Aug 1997 49.48633 35.27759 63.69507 27.75594 71.21673
## Sep 1997 49.48587 35.27272 63.69903 27.74873 71.22302
## Oct 1997 49.48538 35.26781 63.70295 27.74148 71.22928
## Nov 1997 49.48499 35.26300 63.70698 27.73433 71.23565
## Dec 1997 49.48480 35.25839 63.71120 27.72739 71.24221
## Jan 1998 49.48485 35.25403 63.71567 27.72069 71.24902
## Feb 1998 49.48513 35.24990 63.72037 27.71422 71.25604
## Mar 1998 49.48555 35.24591 63.72520 27.70790 71.26321
## Apr 1998 49.48601 35.24196 63.73006 27.70161 71.27040
## May 1998 49.48637 35.23792 63.73482 27.69524 71.27750
## Jun 1998 49.48654 35.23369 63.73940 27.68869 71.28440
## Jul 1998 49.48649 35.22924 63.74375 27.68191 71.29108
## Aug 1998 49.48624 35.22459 63.74789 27.67492 71.29755
## Sep 1998 49.48584 35.21980 63.75189 27.66781 71.30388
## Oct 1998 49.48543 35.21498 63.75588 27.66066 71.31020
## Nov 1998 49.48510 35.21025 63.75994 27.65360 71.31659
## Dec 1998 49.48493 35.20568 63.76418 27.64671 71.32316
## Jan 1999 49.48498 35.20133 63.76863 27.64003 71.32994
## Feb 1999 49.48522 35.19718 63.77326 27.63354 71.33690
## Mar 1999 49.48558 35.19314 63.77802 27.62719 71.34398
## Apr 1999 49.48597 35.18914 63.78279 27.62086 71.35108
## May 1999 49.48627 35.18506 63.78748 27.61445 71.35809
## Jun 1999 49.48642 35.18082 63.79202 27.60790 71.36494
## Jul 1999 49.48637 35.17639 63.79635 27.60115 71.37160
## Aug 1999 49.48615 35.17179 63.80052 27.59422 71.37808
## Sep 1999 49.48582 35.16707 63.80457 27.58719 71.38445
## Oct 1999 49.48547 35.16234 63.80860 27.58013 71.39080
## Nov 1999 49.48518 35.15767 63.81270 27.57314 71.39723
## Dec 1999 49.48505 35.15315 63.81695 27.56630 71.40379
## Jan 2000 49.48509 35.14881 63.82137 27.55965 71.41054
## Feb 2000 49.48530 35.14464 63.82595 27.55315 71.41744
## Mar 2000 49.48560 35.14057 63.83064 27.54677 71.42444
## Apr 2000 49.48593 35.13652 63.83534 27.54040 71.43146
## May 2000 49.48619 35.13241 63.83997 27.53398 71.43840
## Jun 2000 49.48631 35.12816 63.84446 27.52742 71.44521
## Jul 2000 49.48627 35.12376 63.84879 27.52070 71.45185
## Aug 2000 49.48608 35.11920 63.85297 27.51383 71.45834
## Sep 2000 49.48580 35.11455 63.85705 27.50687 71.46473
## Oct 2000 49.48550 35.10988 63.86112 27.49989 71.47111
plot(forecast(fit,h=730))
#푸리에 변환 반복코드
bestfit <- list(aic=Inf)
for(K in seq(6)) {
fit <- auto.arima(nottem, xreg= fourier(nottem, K= K ),seasonal = TRUE)
if(fit[["aic"]] < bestfit[["aic"]]) {
bestfit <- fit
bestK <- K
}
}
fc<-forecast(bestfit,xreg=fourier(nottem, K=bestK, h=12))
plot(fc)
