ADEC7460 Week 1 Discussion
Kayla Burt
10/28/2020
Using the first letter of my last name, B, I picked a stock, Barnes Group Inc. a stock. It includes the daily adjusted closing prices for the last two years, and it has been sorted in ascending order.
I will forecast the next month of daily adjusted closing prices.
library (fpp2)## Warning: package 'fpp2' was built under R version 4.0.3## Registered S3 method overwritten by 'quantmod':
## method from
## as.zoo.data.frame zoo## -- Attaching packages -------------------------------------------------------------------- fpp2 2.4 --## v ggplot2 3.3.0 v fma 2.4
## v forecast 8.12 v expsmooth 2.3## Warning: package 'forecast' was built under R version 4.0.2## Warning: package 'fma' was built under R version 4.0.3## Warning: package 'expsmooth' was built under R version 4.0.3## library(knitr)
library(quantmod)## Warning: package 'quantmod' was built under R version 4.0.3## Loading required package: xts## Warning: package 'xts' was built under R version 4.0.2## Loading required package: zoo## Warning: package 'zoo' was built under R version 4.0.2##
## Attaching package: 'zoo'## The following objects are masked from 'package:base':
##
## as.Date, as.Date.numeric## Loading required package: TTR## Warning: package 'TTR' was built under R version 4.0.2## Version 0.4-0 included new data defaults. See ?getSymbols.###Load data that has been sorted in ascending order###
B = read.csv("C:/Users/burtkb/Downloads/B (1).csv")
B=ts(B[,2],start=c(2018,10,27),end=c(2020,10,26),frequency=250)
plot.ts(B)
Take difference to remove the trend and create a timeplot
DB = diff(B)
plot.ts(DB)
#investiagte seasonality
ggseasonplot(DB) 
Create models
###Models###
#Model1
fit = snaive(DB) #Residual SD = 2.232
print(summary(fit))##
## Forecast method: Seasonal naive method
##
## Model Information:
## Call: snaive(y = DB)
##
## Residual sd: 2.232
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set -0.03523998 2.227768 1.70372 110.8777 451.2487 1 -0.4359496
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 2020.040 -1.389999 -4.244998104 1.4650001 -5.75634334 2.9763453
## 2020.044 -0.119999 -2.974998104 2.7350001 -4.48634334 4.2463453
## 2020.048 0.540001 -2.314998104 3.3950001 -3.82634334 4.9063453
## 2020.052 -0.480000 -3.334999104 2.3749991 -4.84634434 3.8863443
## 2020.056 0.250000 -2.604999104 3.1049991 -4.11634434 4.6163443
## 2020.060 -0.760002 -3.615001104 2.0949971 -5.12634634 3.6063423
## 2020.064 1.890000 -0.964999104 4.7449991 -2.47634434 6.2563443
## 2020.068 -1.500000 -4.354999104 1.3549991 -5.86634434 2.8663443
## 2020.072 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2020.076 0.590000 -2.264999104 3.4449991 -3.77634434 4.9563443
## 2020.080 -0.619999 -3.474998104 2.2350001 -4.98634334 3.7463453
## 2020.084 0.250000 -2.604999104 3.1049991 -4.11634434 4.6163443
## 2020.088 -3.119998 -5.974997104 -0.2649989 -7.48634234 1.2463463
## 2020.092 3.069999 0.214999896 5.9249981 -1.29634534 7.4363433
## 2020.096 0.860001 -1.994998104 3.7150001 -3.50634334 5.2263453
## 2020.100 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.104 0.409999 -2.445000104 3.2649981 -3.95634534 4.7763433
## 2020.108 -0.459999 -3.314998104 2.3950001 -4.82634334 3.9063453
## 2020.112 -1.110000 -3.964999104 1.7449991 -5.47634434 3.2563443
## 2020.116 1.069999 -1.785000104 3.9249981 -3.29634534 5.4363433
## 2020.120 -0.220001 -3.075000104 2.6349981 -4.58634534 4.1463433
## 2020.124 -0.430000 -3.284999104 2.4249991 -4.79634434 3.9363443
## 2020.128 0.790001 -2.064998104 3.6450001 -3.57634334 5.1563453
## 2020.132 -0.459999 -3.314998104 2.3950001 -4.82634334 3.9063453
## 2020.136 -0.830002 -3.685001104 2.0249971 -5.19634634 3.5363423
## 2020.140 0.870003 -1.984996104 3.7250021 -3.49634134 5.2363473
## 2020.144 -0.160000 -3.014999104 2.6949991 -4.52634434 4.2063443
## 2020.148 -0.010002 -2.865001104 2.8449971 -4.37634634 4.3563423
## 2020.152 1.010002 -1.844997104 3.8650011 -3.35634234 5.3763463
## 2020.156 -0.170002 -3.025001104 2.6849971 -4.53634634 4.1963423
## 2020.160 0.389999 -2.465000104 3.2449981 -3.97634534 4.7563433
## 2020.164 -1.049999 -3.904998104 1.8050001 -5.41634334 3.3163453
## 2020.168 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.172 -1.750000 -4.604999104 1.1049991 -6.11634434 2.6163443
## 2020.176 2.529999 -0.325000104 5.3849981 -1.83634534 6.8963433
## 2020.180 1.029999 -1.825000104 3.8849981 -3.33634534 5.3963433
## 2020.184 -0.399998 -3.254997104 2.4550011 -4.76634234 3.9663463
## 2020.188 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.192 0.049999 -2.805000104 2.9049981 -4.31634534 4.4163433
## 2020.196 -0.369999 -3.224998104 2.4850001 -4.73634334 3.9963453
## 2020.200 -0.310001 -3.165000104 2.5449981 -4.67634534 4.0563433
## 2020.204 -0.149998 -3.004997104 2.7050011 -4.51634234 4.2163463
## 2020.208 -0.610001 -3.465000104 2.2449981 -4.97634534 3.7563433
## 2020.212 0.079998 -2.775001104 2.9349971 -4.28634634 4.4463423
## 2020.216 1.530003 -1.324996104 4.3850021 -2.83634134 5.8963473
## 2020.220 -0.100002 -2.955001104 2.7549971 -4.46634634 4.2663423
## 2020.224 0.850002 -2.004997104 3.7050011 -3.51634234 5.2163463
## 2020.228 -0.310001 -3.165000104 2.5449981 -4.67634534 4.0563433
## 2020.232 0.180000 -2.674999104 3.0349991 -4.18634434 4.5463443
## 2020.236 -2.220001 -5.075000104 0.6349981 -6.58634534 2.1463433
## 2020.240 2.180000 -0.674999104 5.0349991 -2.18634434 6.5463443
## 2020.244 -1.079998 -3.934997104 1.7750011 -5.44634234 3.2863463
## 2020.248 0.549999 -2.305000104 3.4049981 -3.81634534 4.9163433
## 2020.252 0.610001 -2.244998104 3.4650001 -3.75634334 4.9763453
## 2020.256 0.079998 -2.775001104 2.9349971 -4.28634634 4.4463423
## 2020.260 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.264 -0.209999 -3.064998104 2.6450001 -4.57634334 4.1563453
## 2020.268 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.272 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.276 0.070000 -2.784999104 2.9249991 -4.29634434 4.4363443
## 2020.280 0.129997 -2.725002104 2.9849961 -4.23634734 4.4963413
## 2020.284 0.620003 -2.234996104 3.4750021 -3.74634134 4.9863473
## 2020.288 -0.410000 -3.264999104 2.4449991 -4.77634434 3.9563443
## 2020.292 -0.620003 -3.475002104 2.2349961 -4.98634734 3.7463413
## 2020.296 0.540001 -2.314998104 3.3950001 -3.82634334 4.9063453
## 2020.300 -1.160000 -4.014999104 1.6949991 -5.52634434 3.2063443
## 2020.304 0.639999 -2.215000104 3.4949981 -3.72634534 5.0063433
## 2020.308 0.270001 -2.584998104 3.1250001 -4.09634334 4.6363453
## 2020.312 -1.980000 -4.834999104 0.8749991 -6.34634434 2.3863443
## 2020.316 1.669998 -1.185001104 4.5249971 -2.69634634 6.0363423
## 2020.320 0.790001 -2.064998104 3.6450001 -3.57634334 5.1563453
## 2020.324 0.200001 -2.654998104 3.0550001 -4.16634334 4.5663453
## 2020.328 -1.450001 -4.305000104 1.4049981 -5.81634534 2.9163433
## 2020.332 1.270001 -1.584998104 4.1250001 -3.09634334 5.6363453
## 2020.336 -0.279999 -3.134998104 2.5750001 -4.64634334 4.0863453
## 2020.340 0.389999 -2.465000104 3.2449981 -3.97634534 4.7563433
## 2020.344 -0.060001 -2.915000104 2.7949981 -4.42634534 4.3063433
## 2020.348 -1.259998 -4.114997104 1.5950011 -5.62634234 3.1063463
## 2020.352 1.059997 -1.795002104 3.9149961 -3.30634734 5.4263413
## 2020.356 -0.849998 -3.704997104 2.0050011 -5.21634234 3.5163463
## 2020.360 1.160000 -1.694999104 4.0149991 -3.20634434 5.5263443
## 2020.364 3.750000 0.895000896 6.6049991 -0.61634434 8.1163443
## 2020.368 -3.430001 -6.285000104 -0.5750019 -7.79634534 0.9363433
## 2020.372 0.130001 -2.724998104 2.9850001 -4.23634334 4.4963453
## 2020.376 -2.409999 -5.264998104 0.4450001 -6.77634334 1.9563453
## 2020.380 4.110000 1.255000896 6.9649991 -0.25634434 8.4763443
## 2020.384 -1.729999 -4.584998104 1.1250001 -6.09634334 2.6363453
## 2020.388 -1.410000 -4.264999104 1.4449991 -5.77634434 2.9563443
## 2020.392 1.250000 -1.604999104 4.1049991 -3.11634434 5.6163443
## 2020.396 -0.530003 -3.385002104 2.3249961 -4.89634734 3.8363413
## 2020.400 -1.759998 -4.614997104 1.0950011 -6.12634234 2.6063463
## 2020.404 1.360001 -1.494998104 4.2150001 -3.00634334 5.7263453
## 2020.408 1.309997 -1.545002104 4.1649961 -3.05634734 5.6763413
## 2020.412 -0.009998 -2.864997104 2.8450011 -4.37634234 4.3563463
## 2020.416 0.279999 -2.575000104 3.1349981 -4.08634534 4.6463433
## 2020.420 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2020.424 -1.389999 -4.244998104 1.4650001 -5.75634334 2.9763453
## 2020.428 1.180000 -1.674999104 4.0349991 -3.18634434 5.5463443
## 2020.432 -0.020000 -2.874999104 2.8349991 -4.38634434 4.3463443
## 2020.436 -2.180001 -5.035000104 0.6749981 -6.54634534 2.1863433
## 2020.440 1.419998 -1.435001104 4.2749971 -2.94634634 5.7863423
## 2020.444 -0.649997 -3.504996104 2.2050021 -5.01634134 3.7163473
## 2020.448 0.439998 -2.415001104 3.2949971 -3.92634634 4.8063423
## 2020.452 -0.599998 -3.454997104 2.2550011 -4.96634234 3.7663463
## 2020.456 -0.260002 -3.115001104 2.5949971 -4.62634634 4.1063423
## 2020.460 0.139999 -2.715000104 2.9949981 -4.22634534 4.5063433
## 2020.464 0.950001 -1.904998104 3.8050001 -3.41634334 5.3163453
## 2020.468 -1.070000 -3.924999104 1.7849991 -5.43634434 3.2963443
## 2020.472 0.570000 -2.284999104 3.4249991 -3.79634434 4.9363443
## 2020.476 2.090000 -0.764999104 4.9449991 -2.27634434 6.4563443
## 2020.480 -1.610001 -4.465000104 1.2449981 -5.97634534 2.7563433
## 2020.484 0.910000 -1.944999104 3.7649991 -3.45634434 5.2763443
## 2020.488 -0.239998 -3.094997104 2.6150011 -4.60634234 4.1263463
## 2020.492 0.390000 -2.464999104 3.2449991 -3.97634434 4.7563443
## 2020.496 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.500 0.590000 -2.264999104 3.4449991 -3.77634434 4.9563443
## 2020.504 0.139999 -2.715000104 2.9949981 -4.22634534 4.5063433
## 2020.508 -2.450000 -5.304999104 0.4049991 -6.81634434 1.9163443
## 2020.512 -0.169999 -3.024998104 2.6850001 -4.53634334 4.1963453
## 2020.516 2.849999 -0.005000104 5.7049981 -1.51634534 7.2163433
## 2020.520 -0.410000 -3.264999104 2.4449991 -4.77634434 3.9563443
## 2020.524 2.290001 -0.564998104 5.1450001 -2.07634334 6.6563453
## 2020.528 -2.770000 -5.624999104 0.0849991 -7.13634434 1.5963443
## 2020.532 1.189998 -1.665001104 4.0449971 -3.17634634 5.5563423
## 2020.536 0.030003 -2.824996104 2.8850021 -4.33634134 4.3963473
## 2020.540 -1.590000 -4.444999104 1.2649991 -5.95634434 2.7763443
## 2020.544 1.709999 -1.145000104 4.5649981 -2.65634534 6.0763433
## 2020.548 -0.810002 -3.665001104 2.0449971 -5.17634634 3.5563423
## 2020.552 0.520001 -2.334998104 3.3750001 -3.84634334 4.8863453
## 2020.556 -0.640000 -3.494999104 2.2149991 -5.00634434 3.7263443
## 2020.560 -0.790001 -3.645000104 2.0649981 -5.15634534 3.5763433
## 2020.564 -0.269996 -3.124995104 2.5850031 -4.63634034 4.0963483
## 2020.568 4.219997 1.364997896 7.0749961 -0.14634734 8.5863413
## 2020.572 -3.090000 -5.944999104 -0.2350009 -7.45634434 1.2763443
## 2020.576 1.080002 -1.774997104 3.9350011 -3.28634234 5.4463463
## 2020.580 -0.540001 -3.395000104 2.3149981 -4.90634534 3.8263433
## 2020.584 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.588 -0.830002 -3.685001104 2.0249971 -5.19634634 3.5363423
## 2020.592 1.400001 -1.454998104 4.2550001 -2.96634334 5.7663453
## 2020.596 -0.080001 -2.935000104 2.7749981 -4.44634534 4.2863433
## 2020.600 0.569999 -2.285000104 3.4249981 -3.79634534 4.9363433
## 2020.604 -0.840000 -3.694999104 2.0149991 -5.20634434 3.5263443
## 2020.608 1.460003 -1.394996104 4.3150021 -2.90634134 5.8263473
## 2020.612 -0.790001 -3.645000104 2.0649981 -5.15634534 3.5763433
## 2020.616 -0.759998 -3.614997104 2.0950011 -5.12634234 3.6063463
## 2020.620 0.269996 -2.585003104 3.1249951 -4.09634834 4.6363403
## 2020.624 -1.489997 -4.344996104 1.3650021 -5.85634134 2.8763473
## 2020.628 1.770000 -1.084999104 4.6249991 -2.59634434 6.1363443
## 2020.632 -0.470001 -3.325000104 2.3849981 -4.83634534 3.8963433
## 2020.636 1.450001 -1.404998104 4.3050001 -2.91634334 5.8163453
## 2020.640 -0.160000 -3.014999104 2.6949991 -4.52634434 4.2063443
## 2020.644 -0.380001 -3.235000104 2.4749981 -4.74634534 3.9863433
## 2020.648 -1.180001 -4.035000104 1.6749981 -5.54634534 3.1863433
## 2020.652 1.260003 -1.594996104 4.1150021 -3.10634134 5.6263473
## 2020.656 1.239997 -1.615002104 4.0949961 -3.12634734 5.6063413
## 2020.660 -1.750000 -4.604999104 1.1049991 -6.11634434 2.6163443
## 2020.664 -1.200000 -4.054999104 1.6549991 -5.56634434 3.1663443
## 2020.668 0.440002 -2.414997104 3.2950011 -3.92634234 4.8063463
## 2020.672 0.840000 -2.014999104 3.6949991 -3.52634434 5.2063443
## 2020.676 0.539997 -2.315002104 3.3949961 -3.82634734 4.9063413
## 2020.680 -0.469997 -3.324996104 2.3850021 -4.83634134 3.8963473
## 2020.684 0.689999 -2.165000104 3.5449981 -3.67634534 5.0563433
## 2020.688 -0.779999 -3.634998104 2.0750001 -5.14634334 3.5863453
## 2020.692 1.689998 -1.165001104 4.5449971 -2.67634634 6.0563423
## 2020.696 -1.159999 -4.014998104 1.6950001 -5.52634334 3.2063453
## 2020.700 0.130001 -2.724998104 2.9850001 -4.23634334 4.4963453
## 2020.704 1.659999 -1.195000104 4.5149981 -2.70634534 6.0263433
## 2020.708 -0.959999 -3.814998104 1.8950001 -5.32634334 3.4063453
## 2020.712 -5.520000 -8.374999104 -2.6650009 -9.88634434 -1.1536557
## 2020.716 6.149998 3.294998896 9.0049971 1.78365366 10.5163423
## 2020.720 -0.750000 -3.604999104 2.1049991 -5.11634434 3.6163443
## 2020.724 -1.689999 -4.544998104 1.1650001 -6.05634334 2.6763453
## 2020.728 1.160000 -1.694999104 4.0149991 -3.20634434 5.5263443
## 2020.732 -0.060002 -2.915001104 2.7949971 -4.42634634 4.3063423
## 2020.736 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.740 1.320000 -1.534999104 4.1749991 -3.04634434 5.6863443
## 2020.744 -1.000000 -3.854999104 1.8549991 -5.36634434 3.3663443
## 2020.748 1.010002 -1.844997104 3.8650011 -3.35634234 5.3763463
## 2020.752 -0.389999 -3.244998104 2.4650001 -4.75634334 3.9763453
## 2020.756 -0.420002 -3.275001104 2.4349971 -4.78634634 3.9463423
## 2020.760 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.764 1.319999 -1.535000104 4.1749981 -3.04634534 5.6863433
## 2020.768 -0.079998 -2.934997104 2.7750011 -4.44634234 4.2863463
## 2020.772 -1.610000 -4.464999104 1.2449991 -5.97634434 2.7563443
## 2020.776 1.119999 -1.735000104 3.9749981 -3.24634534 5.4863433
## 2020.780 -2.800000 -5.654999104 0.0549991 -7.16634434 1.5663443
## 2020.784 2.880002 0.025002896 5.7350011 -1.48634234 7.2463463
## 2020.788 -0.340001 -3.195000104 2.5149981 -4.70634534 4.0263433
## 2020.792 2.009999 -0.845000104 4.8649981 -2.35634534 6.3763433
## 2020.796 -2.099999 -4.954998104 0.7550001 -6.46634334 2.2663453
## 2020.800 0.379997 -2.475002104 3.2349961 -3.98634734 4.7463413
## 2020.804 1.200001 -1.654998104 4.0550001 -3.16634334 5.5663453
## 2020.808 -0.889999 -3.744998104 1.9650001 -5.25634334 3.4763453
## 2020.812 0.900001 -1.954998104 3.7550001 -3.46634334 5.2663453
## 2020.816 -0.850002 -3.705001104 2.0049971 -5.21634634 3.5163423
## 2020.820 0.340000 -2.514999104 3.1949991 -4.02634434 4.7063443
## 2020.824 0.630001 -2.224998104 3.4850001 -3.73634334 4.9963453
## 2020.828 2.849999 -0.005000104 5.7049981 -1.51634534 7.2163433
## 2020.832 -3.549999 -6.404998104 -0.6949999 -7.91634334 0.8163453
## 2020.836 0.040000 -2.814999104 2.8949991 -4.32634434 4.4063443
## 2020.840 -0.020000 -2.874999104 2.8349991 -4.38634434 4.3463443
## 2020.844 0.060001 -2.794998104 2.9150001 -4.30634334 4.4263453
## 2020.848 0.289997 -2.565002104 3.1449961 -4.07634734 4.6563413
## 2020.852 0.970002 -1.884997104 3.8250011 -3.39634234 5.3363463
## 2020.856 -0.230000 -3.084999104 2.6249991 -4.59634434 4.1363443
## 2020.860 0.380001 -2.474998104 3.2350001 -3.98634334 4.7463453
## 2020.864 -0.150001 -3.005000104 2.7049981 -4.51634534 4.2163433
## 2020.868 0.090000 -2.764999104 2.9449991 -4.27634434 4.4563443
## 2020.872 0.049999 -2.805000104 2.9049981 -4.31634534 4.4163433
## 2020.876 -0.169998 -3.024997104 2.6850011 -4.53634234 4.1963463
## 2020.880 0.930000 -1.924999104 3.7849991 -3.43634434 5.2963443
## 2020.884 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.888 -0.070000 -2.924999104 2.7849991 -4.43634434 4.2963443
## 2020.892 -0.220001 -3.075000104 2.6349981 -4.58634534 4.1463433
## 2020.896 0.190003 -2.664996104 3.0450021 -4.17634134 4.5563473
## 2020.900 0.019996 -2.835003104 2.8749951 -4.34634834 4.3863403
## 2020.904 -0.029999 -2.884998104 2.8250001 -4.39634334 4.3363453
## 2020.908 -0.779998 -3.634997104 2.0750011 -5.14634234 3.5863463
## 2020.912 2.189998 -0.665001104 5.0449971 -2.17634634 6.5563423
## 2020.916 -1.349998 -4.204997104 1.5050011 -5.71634234 3.0163463
## 2020.920 0.500000 -2.354999104 3.3549991 -3.86634434 4.8663443
## 2020.924 2.310001 -0.544998104 5.1650001 -2.05634334 6.6763453
## 2020.928 -2.590004 -5.445003104 0.2649951 -6.95634834 1.7763403
## 2020.932 0.920002 -1.934997104 3.7750011 -3.44634234 5.2863463
## 2020.936 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.940 -0.900001 -3.755000104 1.9549981 -5.26634534 3.4663433
## 2020.944 0.439998 -2.415001104 3.2949971 -3.92634634 4.8063423
## 2020.948 2.419999 -0.435000104 5.2749981 -1.94634534 6.7863433
## 2020.952 -0.640000 -3.494999104 2.2149991 -5.00634434 3.7263443
## 2020.956 -1.359997 -4.214996104 1.4950021 -5.72634134 3.0063473
## 2020.960 1.399998 -1.455001104 4.2549971 -2.96634634 5.7663423
## 2020.964 0.630005 -2.224994104 3.4850041 -3.73633934 4.9963493
## 2020.968 -0.960007 -3.815006104 1.8949921 -5.32635134 3.4063373
## 2020.972 1.280007 -1.574992104 4.1350061 -3.08633734 5.6463513
## 2020.976 -0.200005 -3.055004104 2.6549941 -4.56634934 4.1663393
## 2020.980 0.500000 -2.354999104 3.3549991 -3.86634434 4.8663443
## 2020.984 -1.509994 -4.364993104 1.3450051 -5.87633834 2.8563503
## 2020.988 -0.210007 -3.065006104 2.6449921 -4.57635134 4.1563373
## 2020.992 0.210007 -2.644992104 3.0650061 -4.15633734 4.5763513
## 2020.996 -0.550003 -3.405002104 2.3049961 -4.91634734 3.8163413
## 2021.000 1.409996 -1.445003104 4.2649951 -2.95634834 5.7763403
## 2021.004 0.240005 -2.614994104 3.0950041 -4.12633934 4.6063493
## 2021.008 0.519997 -2.335002104 3.3749961 -3.84634734 4.8863413
## 2021.012 0.440002 -2.414997104 3.2950011 -3.92634234 4.8063463
## 2021.016 -1.139999 -3.994998104 1.7150001 -5.50634334 3.2263453
## 2021.020 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2021.024 1.129998 -1.725001104 3.9849971 -3.23634634 5.4963423
## 2021.028 -1.860001 -4.715000104 0.9949981 -6.22634534 2.5063433
## 2021.032 -1.070000 -3.924999104 1.7849991 -5.43634434 3.2963443
## 2021.036 2.300003 -0.554996104 5.1550021 -2.06634134 6.6663473
## 2021.040 -1.389999 -5.427577454 2.6475795 -7.56494238 4.7849444
## 2021.044 -0.119999 -4.157577454 3.9175795 -6.29494238 6.0549444
## 2021.048 0.540001 -3.497577454 4.5775795 -5.63494238 6.7149444
## 2021.052 -0.480000 -4.517578454 3.5575785 -6.65494338 5.6949434
## 2021.056 0.250000 -3.787578454 4.2875785 -5.92494338 6.4249434
## 2021.060 -0.760002 -4.797580454 3.2775765 -6.93494538 5.4149414
## 2021.064 1.890000 -2.147578454 5.9275785 -4.28494338 8.0649434
## 2021.068 -1.500000 -5.537578454 2.5375785 -7.67494338 4.6749434
## 2021.072 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2021.076 0.590000 -3.447578454 4.6275785 -5.58494338 6.7649434
## 2021.080 -0.619999 -4.657577454 3.4175795 -6.79494238 5.5549444
## 2021.084 0.250000 -3.787578454 4.2875785 -5.92494338 6.4249434
## 2021.088 -3.119998 -7.157576454 0.9175805 -9.29494138 3.0549454
## 2021.092 3.069999 -0.967579454 7.1075775 -3.10494438 9.2449424
## 2021.096 0.860001 -3.177577454 4.8975795 -5.31494238 7.0349444
## 2021.100 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.104 0.409999 -3.627579454 4.4475775 -5.76494438 6.5849424
## 2021.108 -0.459999 -4.497577454 3.5775795 -6.63494238 5.7149444
## 2021.112 -1.110000 -5.147578454 2.9275785 -7.28494338 5.0649434
## 2021.116 1.069999 -2.967579454 5.1075775 -5.10494438 7.2449424
## 2021.120 -0.220001 -4.257579454 3.8175775 -6.39494438 5.9549424
## 2021.124 -0.430000 -4.467578454 3.6075785 -6.60494338 5.7449434
## 2021.128 0.790001 -3.247577454 4.8275795 -5.38494238 6.9649444
## 2021.132 -0.459999 -4.497577454 3.5775795 -6.63494238 5.7149444
## 2021.136 -0.830002 -4.867580454 3.2075765 -7.00494538 5.3449414
## 2021.140 0.870003 -3.167575454 4.9075815 -5.30494038 7.0449464
## 2021.144 -0.160000 -4.197578454 3.8775785 -6.33494338 6.0149434
## 2021.148 -0.010002 -4.047580454 4.0275765 -6.18494538 6.1649414
## 2021.152 1.010002 -3.027576454 5.0475805 -5.16494138 7.1849454
## 2021.156 -0.170002 -4.207580454 3.8675765 -6.34494538 6.0049414
## 2021.160 0.389999 -3.647579454 4.4275775 -5.78494438 6.5649424
## 2021.164 -1.049999 -5.087577454 2.9875795 -7.22494238 5.1249444
## 2021.168 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.172 -1.750000 -5.787578454 2.2875785 -7.92494338 4.4249434
## 2021.176 2.529999 -1.507579454 6.5675775 -3.64494438 8.7049424
## 2021.180 1.029999 -3.007579454 5.0675775 -5.14494438 7.2049424
## 2021.184 -0.399998 -4.437576454 3.6375805 -6.57494138 5.7749454
## 2021.188 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.192 0.049999 -3.987579454 4.0875775 -6.12494438 6.2249424
## 2021.196 -0.369999 -4.407577454 3.6675795 -6.54494238 5.8049444
## 2021.200 -0.310001 -4.347579454 3.7275775 -6.48494438 5.8649424
## 2021.204 -0.149998 -4.187576454 3.8875805 -6.32494138 6.0249454
## 2021.208 -0.610001 -4.647579454 3.4275775 -6.78494438 5.5649424
## 2021.212 0.079998 -3.957580454 4.1175765 -6.09494538 6.2549414
## 2021.216 1.530003 -2.507575454 5.5675815 -4.64494038 7.7049464
## 2021.220 -0.100002 -4.137580454 3.9375765 -6.27494538 6.0749414
## 2021.224 0.850002 -3.187576454 4.8875805 -5.32494138 7.0249454
## 2021.228 -0.310001 -4.347579454 3.7275775 -6.48494438 5.8649424
## 2021.232 0.180000 -3.857578454 4.2175785 -5.99494338 6.3549434
## 2021.236 -2.220001 -6.257579454 1.8175775 -8.39494438 3.9549424
## 2021.240 2.180000 -1.857578454 6.2175785 -3.99494338 8.3549434
## 2021.244 -1.079998 -5.117576454 2.9575805 -7.25494138 5.0949454
## 2021.248 0.549999 -3.487579454 4.5875775 -5.62494438 6.7249424
## 2021.252 0.610001 -3.427577454 4.6475795 -5.56494238 6.7849444
## 2021.256 0.079998 -3.957580454 4.1175765 -6.09494538 6.2549414
## 2021.260 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.264 -0.209999 -4.247577454 3.8275795 -6.38494238 5.9649444
## 2021.268 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.272 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.276 0.070000 -3.967578454 4.1075785 -6.10494338 6.2449434
## 2021.280 0.129997 -3.907581454 4.1675755 -6.04494638 6.3049404
## 2021.284 0.620003 -3.417575454 4.6575815 -5.55494038 6.7949464
## 2021.288 -0.410000 -4.447578454 3.6275785 -6.58494338 5.7649434
## 2021.292 -0.620003 -4.657581454 3.4175755 -6.79494638 5.5549404
## 2021.296 0.540001 -3.497577454 4.5775795 -5.63494238 6.7149444
## 2021.300 -1.160000 -5.197578454 2.8775785 -7.33494338 5.0149434
## 2021.304 0.639999 -3.397579454 4.6775775 -5.53494438 6.8149424
## 2021.308 0.270001 -3.767577454 4.3075795 -5.90494238 6.4449444
## 2021.312 -1.980000 -6.017578454 2.0575785 -8.15494338 4.1949434
## 2021.316 1.669998 -2.367580454 5.7075765 -4.50494538 7.8449414
## 2021.320 0.790001 -3.247577454 4.8275795 -5.38494238 6.9649444
## 2021.324 0.200001 -3.837577454 4.2375795 -5.97494238 6.3749444
## 2021.328 -1.450001 -5.487579454 2.5875775 -7.62494438 4.7249424
## 2021.332 1.270001 -2.767577454 5.3075795 -4.90494238 7.4449444
## 2021.336 -0.279999 -4.317577454 3.7575795 -6.45494238 5.8949444
## 2021.340 0.389999 -3.647579454 4.4275775 -5.78494438 6.5649424
## 2021.344 -0.060001 -4.097579454 3.9775775 -6.23494438 6.1149424
## 2021.348 -1.259998 -5.297576454 2.7775805 -7.43494138 4.9149454
## 2021.352 1.059997 -2.977581454 5.0975755 -5.11494638 7.2349404
## 2021.356 -0.849998 -4.887576454 3.1875805 -7.02494138 5.3249454
## 2021.360 1.160000 -2.877578454 5.1975785 -5.01494338 7.3349434
## 2021.364 3.750000 -0.287578454 7.7875785 -2.42494338 9.9249434
## 2021.368 -3.430001 -7.467579454 0.6075775 -9.60494438 2.7449424
## 2021.372 0.130001 -3.907577454 4.1675795 -6.04494238 6.3049444
## 2021.376 -2.409999 -6.447577454 1.6275795 -8.58494238 3.7649444
## 2021.380 4.110000 0.072421546 8.1475785 -2.06494338 10.2849434
## 2021.384 -1.729999 -5.767577454 2.3075795 -7.90494238 4.4449444
## 2021.388 -1.410000 -5.447578454 2.6275785 -7.58494338 4.7649434
## 2021.392 1.250000 -2.787578454 5.2875785 -4.92494338 7.4249434
## 2021.396 -0.530003 -4.567581454 3.5075755 -6.70494638 5.6449404
## 2021.400 -1.759998 -5.797576454 2.2775805 -7.93494138 4.4149454
## 2021.404 1.360001 -2.677577454 5.3975795 -4.81494238 7.5349444
## 2021.408 1.309997 -2.727581454 5.3475755 -4.86494638 7.4849404
## 2021.412 -0.009998 -4.047576454 4.0275805 -6.18494138 6.1649454
## 2021.416 0.279999 -3.757579454 4.3175775 -5.89494438 6.4549424
## 2021.420 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2021.424 -1.389999 -5.427577454 2.6475795 -7.56494238 4.7849444
## 2021.428 1.180000 -2.857578454 5.2175785 -4.99494338 7.3549434
## 2021.432 -0.020000 -4.057578454 4.0175785 -6.19494338 6.1549434
## 2021.436 -2.180001 -6.217579454 1.8575775 -8.35494438 3.9949424
## 2021.440 1.419998 -2.617580454 5.4575765 -4.75494538 7.5949414
## 2021.444 -0.649997 -4.687575454 3.3875815 -6.82494038 5.5249464
## 2021.448 0.439998 -3.597580454 4.4775765 -5.73494538 6.6149414
## 2021.452 -0.599998 -4.637576454 3.4375805 -6.77494138 5.5749454
## 2021.456 -0.260002 -4.297580454 3.7775765 -6.43494538 5.9149414
## 2021.460 0.139999 -3.897579454 4.1775775 -6.03494438 6.3149424
## 2021.464 0.950001 -3.087577454 4.9875795 -5.22494238 7.1249444
## 2021.468 -1.070000 -5.107578454 2.9675785 -7.24494338 5.1049434
## 2021.472 0.570000 -3.467578454 4.6075785 -5.60494338 6.7449434
## 2021.476 2.090000 -1.947578454 6.1275785 -4.08494338 8.2649434
## 2021.480 -1.610001 -5.647579454 2.4275775 -7.78494438 4.5649424
## 2021.484 0.910000 -3.127578454 4.9475785 -5.26494338 7.0849434
## 2021.488 -0.239998 -4.277576454 3.7975805 -6.41494138 5.9349454
## 2021.492 0.390000 -3.647578454 4.4275785 -5.78494338 6.5649434
## 2021.496 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.500 0.590000 -3.447578454 4.6275785 -5.58494338 6.7649434
## 2021.504 0.139999 -3.897579454 4.1775775 -6.03494438 6.3149424
## 2021.508 -2.450000 -6.487578454 1.5875785 -8.62494338 3.7249434
## 2021.512 -0.169999 -4.207577454 3.8675795 -6.34494238 6.0049444
## 2021.516 2.849999 -1.187579454 6.8875775 -3.32494438 9.0249424
## 2021.520 -0.410000 -4.447578454 3.6275785 -6.58494338 5.7649434
## 2021.524 2.290001 -1.747577454 6.3275795 -3.88494238 8.4649444
## 2021.528 -2.770000 -6.807578454 1.2675785 -8.94494338 3.4049434
## 2021.532 1.189998 -2.847580454 5.2275765 -4.98494538 7.3649414
## 2021.536 0.030003 -4.007575454 4.0675815 -6.14494038 6.2049464
## 2021.540 -1.590000 -5.627578454 2.4475785 -7.76494338 4.5849434
## 2021.544 1.709999 -2.327579454 5.7475775 -4.46494438 7.8849424
## 2021.548 -0.810002 -4.847580454 3.2275765 -6.98494538 5.3649414
## 2021.552 0.520001 -3.517577454 4.5575795 -5.65494238 6.6949444
## 2021.556 -0.640000 -4.677578454 3.3975785 -6.81494338 5.5349434
## 2021.560 -0.790001 -4.827579454 3.2475775 -6.96494438 5.3849424
## 2021.564 -0.269996 -4.307574454 3.7675825 -6.44493938 5.9049474
## 2021.568 4.219997 0.182418546 8.2575755 -1.95494638 10.3949404
## 2021.572 -3.090000 -7.127578454 0.9475785 -9.26494338 3.0849434
## 2021.576 1.080002 -2.957576454 5.1175805 -5.09494138 7.2549454
## 2021.580 -0.540001 -4.577579454 3.4975775 -6.71494438 5.6349424
## 2021.584 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.588 -0.830002 -4.867580454 3.2075765 -7.00494538 5.3449414
## 2021.592 1.400001 -2.637577454 5.4375795 -4.77494238 7.5749444
## 2021.596 -0.080001 -4.117579454 3.9575775 -6.25494438 6.0949424
## 2021.600 0.569999 -3.467579454 4.6075775 -5.60494438 6.7449424
## 2021.604 -0.840000 -4.877578454 3.1975785 -7.01494338 5.3349434
## 2021.608 1.460003 -2.577575454 5.4975815 -4.71494038 7.6349464
## 2021.612 -0.790001 -4.827579454 3.2475775 -6.96494438 5.3849424
## 2021.616 -0.759998 -4.797576454 3.2775805 -6.93494138 5.4149454
## 2021.620 0.269996 -3.767582454 4.3075745 -5.90494738 6.4449394
## 2021.624 -1.489997 -5.527575454 2.5475815 -7.66494038 4.6849464
## 2021.628 1.770000 -2.267578454 5.8075785 -4.40494338 7.9449434
## 2021.632 -0.470001 -4.507579454 3.5675775 -6.64494438 5.7049424
## 2021.636 1.450001 -2.587577454 5.4875795 -4.72494238 7.6249444
## 2021.640 -0.160000 -4.197578454 3.8775785 -6.33494338 6.0149434
## 2021.644 -0.380001 -4.417579454 3.6575775 -6.55494438 5.7949424
## 2021.648 -1.180001 -5.217579454 2.8575775 -7.35494438 4.9949424
## 2021.652 1.260003 -2.777575454 5.2975815 -4.91494038 7.4349464
## 2021.656 1.239997 -2.797581454 5.2775755 -4.93494638 7.4149404
## 2021.660 -1.750000 -5.787578454 2.2875785 -7.92494338 4.4249434
## 2021.664 -1.200000 -5.237578454 2.8375785 -7.37494338 4.9749434
## 2021.668 0.440002 -3.597576454 4.4775805 -5.73494138 6.6149454
## 2021.672 0.840000 -3.197578454 4.8775785 -5.33494338 7.0149434
## 2021.676 0.539997 -3.497581454 4.5775755 -5.63494638 6.7149404
## 2021.680 -0.469997 -4.507575454 3.5675815 -6.64494038 5.7049464
## 2021.684 0.689999 -3.347579454 4.7275775 -5.48494438 6.8649424
## 2021.688 -0.779999 -4.817577454 3.2575795 -6.95494238 5.3949444
## 2021.692 1.689998 -2.347580454 5.7275765 -4.48494538 7.8649414
## 2021.696 -1.159999 -5.197577454 2.8775795 -7.33494238 5.0149444
## 2021.700 0.130001 -3.907577454 4.1675795 -6.04494238 6.3049444
## 2021.704 1.659999 -2.377579454 5.6975775 -4.51494438 7.8349424
## 2021.708 -0.959999 -4.997577454 3.0775795 -7.13494238 5.2149444
## 2021.712 -5.520000 -9.557578454 -1.4824215 -11.69494338 0.6549434
## 2021.716 6.149998 2.112419546 10.1875765 -0.02494538 12.3249414
## 2021.720 -0.750000 -4.787578454 3.2875785 -6.92494338 5.4249434
## 2021.724 -1.689999 -5.727577454 2.3475795 -7.86494238 4.4849444
## 2021.728 1.160000 -2.877578454 5.1975785 -5.01494338 7.3349434
## 2021.732 -0.060002 -4.097580454 3.9775765 -6.23494538 6.1149414
## 2021.736 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.740 1.320000 -2.717578454 5.3575785 -4.85494338 7.4949434
## 2021.744 -1.000000 -5.037578454 3.0375785 -7.17494338 5.1749434
## 2021.748 1.010002 -3.027576454 5.0475805 -5.16494138 7.1849454
## 2021.752 -0.389999 -4.427577454 3.6475795 -6.56494238 5.7849444
## 2021.756 -0.420002 -4.457580454 3.6175765 -6.59494538 5.7549414
## 2021.760 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.764 1.319999 -2.717579454 5.3575775 -4.85494438 7.4949424
## 2021.768 -0.079998 -4.117576454 3.9575805 -6.25494138 6.0949454
## 2021.772 -1.610000 -5.647578454 2.4275785 -7.78494338 4.5649434
## 2021.776 1.119999 -2.917579454 5.1575775 -5.05494438 7.2949424
## 2021.780 -2.800000 -6.837578454 1.2375785 -8.97494338 3.3749434
## 2021.784 2.880002 -1.157576454 6.9175805 -3.29494138 9.0549454
## 2021.788 -0.340001 -4.377579454 3.6975775 -6.51494438 5.8349424
## 2021.792 2.009999 -2.027579454 6.0475775 -4.16494438 8.1849424
## 2021.796 -2.099999 -6.137577454 1.9375795 -8.27494238 4.0749444
## 2021.800 0.379997 -3.657581454 4.4175755 -5.79494638 6.5549404
## 2021.804 1.200001 -2.837577454 5.2375795 -4.97494238 7.3749444
## 2021.808 -0.889999 -4.927577454 3.1475795 -7.06494238 5.2849444
## 2021.812 0.900001 -3.137577454 4.9375795 -5.27494238 7.0749444
## 2021.816 -0.850002 -4.887580454 3.1875765 -7.02494538 5.3249414
## 2021.820 0.340000 -3.697578454 4.3775785 -5.83494338 6.5149434
## 2021.824 0.630001 -3.407577454 4.6675795 -5.54494238 6.8049444
## 2021.828 2.849999 -1.187579454 6.8875775 -3.32494438 9.0249424
## 2021.832 -3.549999 -7.587577454 0.4875795 -9.72494238 2.6249444
## 2021.836 0.040000 -3.997578454 4.0775785 -6.13494338 6.2149434
## 2021.840 -0.020000 -4.057578454 4.0175785 -6.19494338 6.1549434
## 2021.844 0.060001 -3.977577454 4.0975795 -6.11494238 6.2349444
## 2021.848 0.289997 -3.747581454 4.3275755 -5.88494638 6.4649404
## 2021.852 0.970002 -3.067576454 5.0075805 -5.20494138 7.1449454
## 2021.856 -0.230000 -4.267578454 3.8075785 -6.40494338 5.9449434
## 2021.860 0.380001 -3.657577454 4.4175795 -5.79494238 6.5549444
## 2021.864 -0.150001 -4.187579454 3.8875775 -6.32494438 6.0249424
## 2021.868 0.090000 -3.947578454 4.1275785 -6.08494338 6.2649434
## 2021.872 0.049999 -3.987579454 4.0875775 -6.12494438 6.2249424
## 2021.876 -0.169998 -4.207576454 3.8675805 -6.34494138 6.0049454
## 2021.880 0.930000 -3.107578454 4.9675785 -5.24494338 7.1049434
## 2021.884 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.888 -0.070000 -4.107578454 3.9675785 -6.24494338 6.1049434
## 2021.892 -0.220001 -4.257579454 3.8175775 -6.39494438 5.9549424
## 2021.896 0.190003 -3.847575454 4.2275815 -5.98494038 6.3649464
## 2021.900 0.019996 -4.017582454 4.0575745 -6.15494738 6.1949394
## 2021.904 -0.029999 -4.067577454 4.0075795 -6.20494238 6.1449444
## 2021.908 -0.779998 -4.817576454 3.2575805 -6.95494138 5.3949454
## 2021.912 2.189998 -1.847580454 6.2275765 -3.98494538 8.3649414
## 2021.916 -1.349998 -5.387576454 2.6875805 -7.52494138 4.8249454
## 2021.920 0.500000 -3.537578454 4.5375785 -5.67494338 6.6749434
## 2021.924 2.310001 -1.727577454 6.3475795 -3.86494238 8.4849444
## 2021.928 -2.590004 -6.627582454 1.4475745 -8.76494738 3.5849394
## 2021.932 0.920002 -3.117576454 4.9575805 -5.25494138 7.0949454
## 2021.936 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.940 -0.900001 -4.937579454 3.1375775 -7.07494438 5.2749424
## 2021.944 0.439998 -3.597580454 4.4775765 -5.73494538 6.6149414
## 2021.948 2.419999 -1.617579454 6.4575775 -3.75494438 8.5949424
## 2021.952 -0.640000 -4.677578454 3.3975785 -6.81494338 5.5349434
## 2021.956 -1.359997 -5.397575454 2.6775815 -7.53494038 4.8149464
## 2021.960 1.399998 -2.637580454 5.4375765 -4.77494538 7.5749414
## 2021.964 0.630005 -3.407573454 4.6675835 -5.54493838 6.8049484
## 2021.968 -0.960007 -4.997585454 3.0775715 -7.13495038 5.2149364
## 2021.972 1.280007 -2.757571454 5.3175855 -4.89493638 7.4549504
## 2021.976 -0.200005 -4.237583454 3.8375735 -6.37494838 5.9749384
## 2021.980 0.500000 -3.537578454 4.5375785 -5.67494338 6.6749434
## 2021.984 -1.509994 -5.547572454 2.5275845 -7.68493738 4.6649494
## 2021.988 -0.210007 -4.247585454 3.8275715 -6.38495038 5.9649364
## 2021.992 0.210007 -3.827571454 4.2475855 -5.96493638 6.3849504
## 2021.996 -0.550003 -4.587581454 3.4875755 -6.72494638 5.6249404
## 2022.000 1.409996 -2.627582454 5.4475745 -4.76494738 7.5849394
## 2022.004 0.240005 -3.797573454 4.2775835 -5.93493838 6.4149484
## 2022.008 0.519997 -3.517581454 4.5575755 -5.65494638 6.6949404
## 2022.012 0.440002 -3.597576454 4.4775805 -5.73494138 6.6149454
## 2022.016 -1.139999 -5.177577454 2.8975795 -7.31494238 5.0349444
## 2022.020 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2022.024 1.129998 -2.907580454 5.1675765 -5.04494538 7.3049414
## 2022.028 -1.860001 -5.897579454 2.1775775 -8.03494438 4.3149424
## 2022.032 -1.070000 -5.107578454 2.9675785 -7.24494338 5.1049434
## 2022.036 2.300003 -1.737575454 6.3375815 -3.87494038 8.4749464
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 2020.040 -1.389999 -4.244998104 1.4650001 -5.75634334 2.9763453
## 2020.044 -0.119999 -2.974998104 2.7350001 -4.48634334 4.2463453
## 2020.048 0.540001 -2.314998104 3.3950001 -3.82634334 4.9063453
## 2020.052 -0.480000 -3.334999104 2.3749991 -4.84634434 3.8863443
## 2020.056 0.250000 -2.604999104 3.1049991 -4.11634434 4.6163443
## 2020.060 -0.760002 -3.615001104 2.0949971 -5.12634634 3.6063423
## 2020.064 1.890000 -0.964999104 4.7449991 -2.47634434 6.2563443
## 2020.068 -1.500000 -4.354999104 1.3549991 -5.86634434 2.8663443
## 2020.072 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2020.076 0.590000 -2.264999104 3.4449991 -3.77634434 4.9563443
## 2020.080 -0.619999 -3.474998104 2.2350001 -4.98634334 3.7463453
## 2020.084 0.250000 -2.604999104 3.1049991 -4.11634434 4.6163443
## 2020.088 -3.119998 -5.974997104 -0.2649989 -7.48634234 1.2463463
## 2020.092 3.069999 0.214999896 5.9249981 -1.29634534 7.4363433
## 2020.096 0.860001 -1.994998104 3.7150001 -3.50634334 5.2263453
## 2020.100 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.104 0.409999 -2.445000104 3.2649981 -3.95634534 4.7763433
## 2020.108 -0.459999 -3.314998104 2.3950001 -4.82634334 3.9063453
## 2020.112 -1.110000 -3.964999104 1.7449991 -5.47634434 3.2563443
## 2020.116 1.069999 -1.785000104 3.9249981 -3.29634534 5.4363433
## 2020.120 -0.220001 -3.075000104 2.6349981 -4.58634534 4.1463433
## 2020.124 -0.430000 -3.284999104 2.4249991 -4.79634434 3.9363443
## 2020.128 0.790001 -2.064998104 3.6450001 -3.57634334 5.1563453
## 2020.132 -0.459999 -3.314998104 2.3950001 -4.82634334 3.9063453
## 2020.136 -0.830002 -3.685001104 2.0249971 -5.19634634 3.5363423
## 2020.140 0.870003 -1.984996104 3.7250021 -3.49634134 5.2363473
## 2020.144 -0.160000 -3.014999104 2.6949991 -4.52634434 4.2063443
## 2020.148 -0.010002 -2.865001104 2.8449971 -4.37634634 4.3563423
## 2020.152 1.010002 -1.844997104 3.8650011 -3.35634234 5.3763463
## 2020.156 -0.170002 -3.025001104 2.6849971 -4.53634634 4.1963423
## 2020.160 0.389999 -2.465000104 3.2449981 -3.97634534 4.7563433
## 2020.164 -1.049999 -3.904998104 1.8050001 -5.41634334 3.3163453
## 2020.168 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.172 -1.750000 -4.604999104 1.1049991 -6.11634434 2.6163443
## 2020.176 2.529999 -0.325000104 5.3849981 -1.83634534 6.8963433
## 2020.180 1.029999 -1.825000104 3.8849981 -3.33634534 5.3963433
## 2020.184 -0.399998 -3.254997104 2.4550011 -4.76634234 3.9663463
## 2020.188 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.192 0.049999 -2.805000104 2.9049981 -4.31634534 4.4163433
## 2020.196 -0.369999 -3.224998104 2.4850001 -4.73634334 3.9963453
## 2020.200 -0.310001 -3.165000104 2.5449981 -4.67634534 4.0563433
## 2020.204 -0.149998 -3.004997104 2.7050011 -4.51634234 4.2163463
## 2020.208 -0.610001 -3.465000104 2.2449981 -4.97634534 3.7563433
## 2020.212 0.079998 -2.775001104 2.9349971 -4.28634634 4.4463423
## 2020.216 1.530003 -1.324996104 4.3850021 -2.83634134 5.8963473
## 2020.220 -0.100002 -2.955001104 2.7549971 -4.46634634 4.2663423
## 2020.224 0.850002 -2.004997104 3.7050011 -3.51634234 5.2163463
## 2020.228 -0.310001 -3.165000104 2.5449981 -4.67634534 4.0563433
## 2020.232 0.180000 -2.674999104 3.0349991 -4.18634434 4.5463443
## 2020.236 -2.220001 -5.075000104 0.6349981 -6.58634534 2.1463433
## 2020.240 2.180000 -0.674999104 5.0349991 -2.18634434 6.5463443
## 2020.244 -1.079998 -3.934997104 1.7750011 -5.44634234 3.2863463
## 2020.248 0.549999 -2.305000104 3.4049981 -3.81634534 4.9163433
## 2020.252 0.610001 -2.244998104 3.4650001 -3.75634334 4.9763453
## 2020.256 0.079998 -2.775001104 2.9349971 -4.28634634 4.4463423
## 2020.260 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.264 -0.209999 -3.064998104 2.6450001 -4.57634334 4.1563453
## 2020.268 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.272 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.276 0.070000 -2.784999104 2.9249991 -4.29634434 4.4363443
## 2020.280 0.129997 -2.725002104 2.9849961 -4.23634734 4.4963413
## 2020.284 0.620003 -2.234996104 3.4750021 -3.74634134 4.9863473
## 2020.288 -0.410000 -3.264999104 2.4449991 -4.77634434 3.9563443
## 2020.292 -0.620003 -3.475002104 2.2349961 -4.98634734 3.7463413
## 2020.296 0.540001 -2.314998104 3.3950001 -3.82634334 4.9063453
## 2020.300 -1.160000 -4.014999104 1.6949991 -5.52634434 3.2063443
## 2020.304 0.639999 -2.215000104 3.4949981 -3.72634534 5.0063433
## 2020.308 0.270001 -2.584998104 3.1250001 -4.09634334 4.6363453
## 2020.312 -1.980000 -4.834999104 0.8749991 -6.34634434 2.3863443
## 2020.316 1.669998 -1.185001104 4.5249971 -2.69634634 6.0363423
## 2020.320 0.790001 -2.064998104 3.6450001 -3.57634334 5.1563453
## 2020.324 0.200001 -2.654998104 3.0550001 -4.16634334 4.5663453
## 2020.328 -1.450001 -4.305000104 1.4049981 -5.81634534 2.9163433
## 2020.332 1.270001 -1.584998104 4.1250001 -3.09634334 5.6363453
## 2020.336 -0.279999 -3.134998104 2.5750001 -4.64634334 4.0863453
## 2020.340 0.389999 -2.465000104 3.2449981 -3.97634534 4.7563433
## 2020.344 -0.060001 -2.915000104 2.7949981 -4.42634534 4.3063433
## 2020.348 -1.259998 -4.114997104 1.5950011 -5.62634234 3.1063463
## 2020.352 1.059997 -1.795002104 3.9149961 -3.30634734 5.4263413
## 2020.356 -0.849998 -3.704997104 2.0050011 -5.21634234 3.5163463
## 2020.360 1.160000 -1.694999104 4.0149991 -3.20634434 5.5263443
## 2020.364 3.750000 0.895000896 6.6049991 -0.61634434 8.1163443
## 2020.368 -3.430001 -6.285000104 -0.5750019 -7.79634534 0.9363433
## 2020.372 0.130001 -2.724998104 2.9850001 -4.23634334 4.4963453
## 2020.376 -2.409999 -5.264998104 0.4450001 -6.77634334 1.9563453
## 2020.380 4.110000 1.255000896 6.9649991 -0.25634434 8.4763443
## 2020.384 -1.729999 -4.584998104 1.1250001 -6.09634334 2.6363453
## 2020.388 -1.410000 -4.264999104 1.4449991 -5.77634434 2.9563443
## 2020.392 1.250000 -1.604999104 4.1049991 -3.11634434 5.6163443
## 2020.396 -0.530003 -3.385002104 2.3249961 -4.89634734 3.8363413
## 2020.400 -1.759998 -4.614997104 1.0950011 -6.12634234 2.6063463
## 2020.404 1.360001 -1.494998104 4.2150001 -3.00634334 5.7263453
## 2020.408 1.309997 -1.545002104 4.1649961 -3.05634734 5.6763413
## 2020.412 -0.009998 -2.864997104 2.8450011 -4.37634234 4.3563463
## 2020.416 0.279999 -2.575000104 3.1349981 -4.08634534 4.6463433
## 2020.420 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2020.424 -1.389999 -4.244998104 1.4650001 -5.75634334 2.9763453
## 2020.428 1.180000 -1.674999104 4.0349991 -3.18634434 5.5463443
## 2020.432 -0.020000 -2.874999104 2.8349991 -4.38634434 4.3463443
## 2020.436 -2.180001 -5.035000104 0.6749981 -6.54634534 2.1863433
## 2020.440 1.419998 -1.435001104 4.2749971 -2.94634634 5.7863423
## 2020.444 -0.649997 -3.504996104 2.2050021 -5.01634134 3.7163473
## 2020.448 0.439998 -2.415001104 3.2949971 -3.92634634 4.8063423
## 2020.452 -0.599998 -3.454997104 2.2550011 -4.96634234 3.7663463
## 2020.456 -0.260002 -3.115001104 2.5949971 -4.62634634 4.1063423
## 2020.460 0.139999 -2.715000104 2.9949981 -4.22634534 4.5063433
## 2020.464 0.950001 -1.904998104 3.8050001 -3.41634334 5.3163453
## 2020.468 -1.070000 -3.924999104 1.7849991 -5.43634434 3.2963443
## 2020.472 0.570000 -2.284999104 3.4249991 -3.79634434 4.9363443
## 2020.476 2.090000 -0.764999104 4.9449991 -2.27634434 6.4563443
## 2020.480 -1.610001 -4.465000104 1.2449981 -5.97634534 2.7563433
## 2020.484 0.910000 -1.944999104 3.7649991 -3.45634434 5.2763443
## 2020.488 -0.239998 -3.094997104 2.6150011 -4.60634234 4.1263463
## 2020.492 0.390000 -2.464999104 3.2449991 -3.97634434 4.7563443
## 2020.496 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.500 0.590000 -2.264999104 3.4449991 -3.77634434 4.9563443
## 2020.504 0.139999 -2.715000104 2.9949981 -4.22634534 4.5063433
## 2020.508 -2.450000 -5.304999104 0.4049991 -6.81634434 1.9163443
## 2020.512 -0.169999 -3.024998104 2.6850001 -4.53634334 4.1963453
## 2020.516 2.849999 -0.005000104 5.7049981 -1.51634534 7.2163433
## 2020.520 -0.410000 -3.264999104 2.4449991 -4.77634434 3.9563443
## 2020.524 2.290001 -0.564998104 5.1450001 -2.07634334 6.6563453
## 2020.528 -2.770000 -5.624999104 0.0849991 -7.13634434 1.5963443
## 2020.532 1.189998 -1.665001104 4.0449971 -3.17634634 5.5563423
## 2020.536 0.030003 -2.824996104 2.8850021 -4.33634134 4.3963473
## 2020.540 -1.590000 -4.444999104 1.2649991 -5.95634434 2.7763443
## 2020.544 1.709999 -1.145000104 4.5649981 -2.65634534 6.0763433
## 2020.548 -0.810002 -3.665001104 2.0449971 -5.17634634 3.5563423
## 2020.552 0.520001 -2.334998104 3.3750001 -3.84634334 4.8863453
## 2020.556 -0.640000 -3.494999104 2.2149991 -5.00634434 3.7263443
## 2020.560 -0.790001 -3.645000104 2.0649981 -5.15634534 3.5763433
## 2020.564 -0.269996 -3.124995104 2.5850031 -4.63634034 4.0963483
## 2020.568 4.219997 1.364997896 7.0749961 -0.14634734 8.5863413
## 2020.572 -3.090000 -5.944999104 -0.2350009 -7.45634434 1.2763443
## 2020.576 1.080002 -1.774997104 3.9350011 -3.28634234 5.4463463
## 2020.580 -0.540001 -3.395000104 2.3149981 -4.90634534 3.8263433
## 2020.584 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.588 -0.830002 -3.685001104 2.0249971 -5.19634634 3.5363423
## 2020.592 1.400001 -1.454998104 4.2550001 -2.96634334 5.7663453
## 2020.596 -0.080001 -2.935000104 2.7749981 -4.44634534 4.2863433
## 2020.600 0.569999 -2.285000104 3.4249981 -3.79634534 4.9363433
## 2020.604 -0.840000 -3.694999104 2.0149991 -5.20634434 3.5263443
## 2020.608 1.460003 -1.394996104 4.3150021 -2.90634134 5.8263473
## 2020.612 -0.790001 -3.645000104 2.0649981 -5.15634534 3.5763433
## 2020.616 -0.759998 -3.614997104 2.0950011 -5.12634234 3.6063463
## 2020.620 0.269996 -2.585003104 3.1249951 -4.09634834 4.6363403
## 2020.624 -1.489997 -4.344996104 1.3650021 -5.85634134 2.8763473
## 2020.628 1.770000 -1.084999104 4.6249991 -2.59634434 6.1363443
## 2020.632 -0.470001 -3.325000104 2.3849981 -4.83634534 3.8963433
## 2020.636 1.450001 -1.404998104 4.3050001 -2.91634334 5.8163453
## 2020.640 -0.160000 -3.014999104 2.6949991 -4.52634434 4.2063443
## 2020.644 -0.380001 -3.235000104 2.4749981 -4.74634534 3.9863433
## 2020.648 -1.180001 -4.035000104 1.6749981 -5.54634534 3.1863433
## 2020.652 1.260003 -1.594996104 4.1150021 -3.10634134 5.6263473
## 2020.656 1.239997 -1.615002104 4.0949961 -3.12634734 5.6063413
## 2020.660 -1.750000 -4.604999104 1.1049991 -6.11634434 2.6163443
## 2020.664 -1.200000 -4.054999104 1.6549991 -5.56634434 3.1663443
## 2020.668 0.440002 -2.414997104 3.2950011 -3.92634234 4.8063463
## 2020.672 0.840000 -2.014999104 3.6949991 -3.52634434 5.2063443
## 2020.676 0.539997 -2.315002104 3.3949961 -3.82634734 4.9063413
## 2020.680 -0.469997 -3.324996104 2.3850021 -4.83634134 3.8963473
## 2020.684 0.689999 -2.165000104 3.5449981 -3.67634534 5.0563433
## 2020.688 -0.779999 -3.634998104 2.0750001 -5.14634334 3.5863453
## 2020.692 1.689998 -1.165001104 4.5449971 -2.67634634 6.0563423
## 2020.696 -1.159999 -4.014998104 1.6950001 -5.52634334 3.2063453
## 2020.700 0.130001 -2.724998104 2.9850001 -4.23634334 4.4963453
## 2020.704 1.659999 -1.195000104 4.5149981 -2.70634534 6.0263433
## 2020.708 -0.959999 -3.814998104 1.8950001 -5.32634334 3.4063453
## 2020.712 -5.520000 -8.374999104 -2.6650009 -9.88634434 -1.1536557
## 2020.716 6.149998 3.294998896 9.0049971 1.78365366 10.5163423
## 2020.720 -0.750000 -3.604999104 2.1049991 -5.11634434 3.6163443
## 2020.724 -1.689999 -4.544998104 1.1650001 -6.05634334 2.6763453
## 2020.728 1.160000 -1.694999104 4.0149991 -3.20634434 5.5263443
## 2020.732 -0.060002 -2.915001104 2.7949971 -4.42634634 4.3063423
## 2020.736 -0.299999 -3.154998104 2.5550001 -4.66634334 4.0663453
## 2020.740 1.320000 -1.534999104 4.1749991 -3.04634434 5.6863443
## 2020.744 -1.000000 -3.854999104 1.8549991 -5.36634434 3.3663443
## 2020.748 1.010002 -1.844997104 3.8650011 -3.35634234 5.3763463
## 2020.752 -0.389999 -3.244998104 2.4650001 -4.75634334 3.9763453
## 2020.756 -0.420002 -3.275001104 2.4349971 -4.78634634 3.9463423
## 2020.760 -0.250000 -3.104999104 2.6049991 -4.61634434 4.1163443
## 2020.764 1.319999 -1.535000104 4.1749981 -3.04634534 5.6863433
## 2020.768 -0.079998 -2.934997104 2.7750011 -4.44634234 4.2863463
## 2020.772 -1.610000 -4.464999104 1.2449991 -5.97634434 2.7563443
## 2020.776 1.119999 -1.735000104 3.9749981 -3.24634534 5.4863433
## 2020.780 -2.800000 -5.654999104 0.0549991 -7.16634434 1.5663443
## 2020.784 2.880002 0.025002896 5.7350011 -1.48634234 7.2463463
## 2020.788 -0.340001 -3.195000104 2.5149981 -4.70634534 4.0263433
## 2020.792 2.009999 -0.845000104 4.8649981 -2.35634534 6.3763433
## 2020.796 -2.099999 -4.954998104 0.7550001 -6.46634334 2.2663453
## 2020.800 0.379997 -2.475002104 3.2349961 -3.98634734 4.7463413
## 2020.804 1.200001 -1.654998104 4.0550001 -3.16634334 5.5663453
## 2020.808 -0.889999 -3.744998104 1.9650001 -5.25634334 3.4763453
## 2020.812 0.900001 -1.954998104 3.7550001 -3.46634334 5.2663453
## 2020.816 -0.850002 -3.705001104 2.0049971 -5.21634634 3.5163423
## 2020.820 0.340000 -2.514999104 3.1949991 -4.02634434 4.7063443
## 2020.824 0.630001 -2.224998104 3.4850001 -3.73634334 4.9963453
## 2020.828 2.849999 -0.005000104 5.7049981 -1.51634534 7.2163433
## 2020.832 -3.549999 -6.404998104 -0.6949999 -7.91634334 0.8163453
## 2020.836 0.040000 -2.814999104 2.8949991 -4.32634434 4.4063443
## 2020.840 -0.020000 -2.874999104 2.8349991 -4.38634434 4.3463443
## 2020.844 0.060001 -2.794998104 2.9150001 -4.30634334 4.4263453
## 2020.848 0.289997 -2.565002104 3.1449961 -4.07634734 4.6563413
## 2020.852 0.970002 -1.884997104 3.8250011 -3.39634234 5.3363463
## 2020.856 -0.230000 -3.084999104 2.6249991 -4.59634434 4.1363443
## 2020.860 0.380001 -2.474998104 3.2350001 -3.98634334 4.7463453
## 2020.864 -0.150001 -3.005000104 2.7049981 -4.51634534 4.2163433
## 2020.868 0.090000 -2.764999104 2.9449991 -4.27634434 4.4563443
## 2020.872 0.049999 -2.805000104 2.9049981 -4.31634534 4.4163433
## 2020.876 -0.169998 -3.024997104 2.6850011 -4.53634234 4.1963463
## 2020.880 0.930000 -1.924999104 3.7849991 -3.43634434 5.2963443
## 2020.884 -0.720001 -3.575000104 2.1349981 -5.08634534 3.6463433
## 2020.888 -0.070000 -2.924999104 2.7849991 -4.43634434 4.2963443
## 2020.892 -0.220001 -3.075000104 2.6349981 -4.58634534 4.1463433
## 2020.896 0.190003 -2.664996104 3.0450021 -4.17634134 4.5563473
## 2020.900 0.019996 -2.835003104 2.8749951 -4.34634834 4.3863403
## 2020.904 -0.029999 -2.884998104 2.8250001 -4.39634334 4.3363453
## 2020.908 -0.779998 -3.634997104 2.0750011 -5.14634234 3.5863463
## 2020.912 2.189998 -0.665001104 5.0449971 -2.17634634 6.5563423
## 2020.916 -1.349998 -4.204997104 1.5050011 -5.71634234 3.0163463
## 2020.920 0.500000 -2.354999104 3.3549991 -3.86634434 4.8663443
## 2020.924 2.310001 -0.544998104 5.1650001 -2.05634334 6.6763453
## 2020.928 -2.590004 -5.445003104 0.2649951 -6.95634834 1.7763403
## 2020.932 0.920002 -1.934997104 3.7750011 -3.44634234 5.2863463
## 2020.936 0.470001 -2.384998104 3.3250001 -3.89634334 4.8363453
## 2020.940 -0.900001 -3.755000104 1.9549981 -5.26634534 3.4663433
## 2020.944 0.439998 -2.415001104 3.2949971 -3.92634634 4.8063423
## 2020.948 2.419999 -0.435000104 5.2749981 -1.94634534 6.7863433
## 2020.952 -0.640000 -3.494999104 2.2149991 -5.00634434 3.7263443
## 2020.956 -1.359997 -4.214996104 1.4950021 -5.72634134 3.0063473
## 2020.960 1.399998 -1.455001104 4.2549971 -2.96634634 5.7663423
## 2020.964 0.630005 -2.224994104 3.4850041 -3.73633934 4.9963493
## 2020.968 -0.960007 -3.815006104 1.8949921 -5.32635134 3.4063373
## 2020.972 1.280007 -1.574992104 4.1350061 -3.08633734 5.6463513
## 2020.976 -0.200005 -3.055004104 2.6549941 -4.56634934 4.1663393
## 2020.980 0.500000 -2.354999104 3.3549991 -3.86634434 4.8663443
## 2020.984 -1.509994 -4.364993104 1.3450051 -5.87633834 2.8563503
## 2020.988 -0.210007 -3.065006104 2.6449921 -4.57635134 4.1563373
## 2020.992 0.210007 -2.644992104 3.0650061 -4.15633734 4.5763513
## 2020.996 -0.550003 -3.405002104 2.3049961 -4.91634734 3.8163413
## 2021.000 1.409996 -1.445003104 4.2649951 -2.95634834 5.7763403
## 2021.004 0.240005 -2.614994104 3.0950041 -4.12633934 4.6063493
## 2021.008 0.519997 -2.335002104 3.3749961 -3.84634734 4.8863413
## 2021.012 0.440002 -2.414997104 3.2950011 -3.92634234 4.8063463
## 2021.016 -1.139999 -3.994998104 1.7150001 -5.50634334 3.2263453
## 2021.020 0.360000 -2.494999104 3.2149991 -4.00634434 4.7263443
## 2021.024 1.129998 -1.725001104 3.9849971 -3.23634634 5.4963423
## 2021.028 -1.860001 -4.715000104 0.9949981 -6.22634534 2.5063433
## 2021.032 -1.070000 -3.924999104 1.7849991 -5.43634434 3.2963443
## 2021.036 2.300003 -0.554996104 5.1550021 -2.06634134 6.6663473
## 2021.040 -1.389999 -5.427577454 2.6475795 -7.56494238 4.7849444
## 2021.044 -0.119999 -4.157577454 3.9175795 -6.29494238 6.0549444
## 2021.048 0.540001 -3.497577454 4.5775795 -5.63494238 6.7149444
## 2021.052 -0.480000 -4.517578454 3.5575785 -6.65494338 5.6949434
## 2021.056 0.250000 -3.787578454 4.2875785 -5.92494338 6.4249434
## 2021.060 -0.760002 -4.797580454 3.2775765 -6.93494538 5.4149414
## 2021.064 1.890000 -2.147578454 5.9275785 -4.28494338 8.0649434
## 2021.068 -1.500000 -5.537578454 2.5375785 -7.67494338 4.6749434
## 2021.072 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2021.076 0.590000 -3.447578454 4.6275785 -5.58494338 6.7649434
## 2021.080 -0.619999 -4.657577454 3.4175795 -6.79494238 5.5549444
## 2021.084 0.250000 -3.787578454 4.2875785 -5.92494338 6.4249434
## 2021.088 -3.119998 -7.157576454 0.9175805 -9.29494138 3.0549454
## 2021.092 3.069999 -0.967579454 7.1075775 -3.10494438 9.2449424
## 2021.096 0.860001 -3.177577454 4.8975795 -5.31494238 7.0349444
## 2021.100 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.104 0.409999 -3.627579454 4.4475775 -5.76494438 6.5849424
## 2021.108 -0.459999 -4.497577454 3.5775795 -6.63494238 5.7149444
## 2021.112 -1.110000 -5.147578454 2.9275785 -7.28494338 5.0649434
## 2021.116 1.069999 -2.967579454 5.1075775 -5.10494438 7.2449424
## 2021.120 -0.220001 -4.257579454 3.8175775 -6.39494438 5.9549424
## 2021.124 -0.430000 -4.467578454 3.6075785 -6.60494338 5.7449434
## 2021.128 0.790001 -3.247577454 4.8275795 -5.38494238 6.9649444
## 2021.132 -0.459999 -4.497577454 3.5775795 -6.63494238 5.7149444
## 2021.136 -0.830002 -4.867580454 3.2075765 -7.00494538 5.3449414
## 2021.140 0.870003 -3.167575454 4.9075815 -5.30494038 7.0449464
## 2021.144 -0.160000 -4.197578454 3.8775785 -6.33494338 6.0149434
## 2021.148 -0.010002 -4.047580454 4.0275765 -6.18494538 6.1649414
## 2021.152 1.010002 -3.027576454 5.0475805 -5.16494138 7.1849454
## 2021.156 -0.170002 -4.207580454 3.8675765 -6.34494538 6.0049414
## 2021.160 0.389999 -3.647579454 4.4275775 -5.78494438 6.5649424
## 2021.164 -1.049999 -5.087577454 2.9875795 -7.22494238 5.1249444
## 2021.168 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.172 -1.750000 -5.787578454 2.2875785 -7.92494338 4.4249434
## 2021.176 2.529999 -1.507579454 6.5675775 -3.64494438 8.7049424
## 2021.180 1.029999 -3.007579454 5.0675775 -5.14494438 7.2049424
## 2021.184 -0.399998 -4.437576454 3.6375805 -6.57494138 5.7749454
## 2021.188 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.192 0.049999 -3.987579454 4.0875775 -6.12494438 6.2249424
## 2021.196 -0.369999 -4.407577454 3.6675795 -6.54494238 5.8049444
## 2021.200 -0.310001 -4.347579454 3.7275775 -6.48494438 5.8649424
## 2021.204 -0.149998 -4.187576454 3.8875805 -6.32494138 6.0249454
## 2021.208 -0.610001 -4.647579454 3.4275775 -6.78494438 5.5649424
## 2021.212 0.079998 -3.957580454 4.1175765 -6.09494538 6.2549414
## 2021.216 1.530003 -2.507575454 5.5675815 -4.64494038 7.7049464
## 2021.220 -0.100002 -4.137580454 3.9375765 -6.27494538 6.0749414
## 2021.224 0.850002 -3.187576454 4.8875805 -5.32494138 7.0249454
## 2021.228 -0.310001 -4.347579454 3.7275775 -6.48494438 5.8649424
## 2021.232 0.180000 -3.857578454 4.2175785 -5.99494338 6.3549434
## 2021.236 -2.220001 -6.257579454 1.8175775 -8.39494438 3.9549424
## 2021.240 2.180000 -1.857578454 6.2175785 -3.99494338 8.3549434
## 2021.244 -1.079998 -5.117576454 2.9575805 -7.25494138 5.0949454
## 2021.248 0.549999 -3.487579454 4.5875775 -5.62494438 6.7249424
## 2021.252 0.610001 -3.427577454 4.6475795 -5.56494238 6.7849444
## 2021.256 0.079998 -3.957580454 4.1175765 -6.09494538 6.2549414
## 2021.260 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.264 -0.209999 -4.247577454 3.8275795 -6.38494238 5.9649444
## 2021.268 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.272 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.276 0.070000 -3.967578454 4.1075785 -6.10494338 6.2449434
## 2021.280 0.129997 -3.907581454 4.1675755 -6.04494638 6.3049404
## 2021.284 0.620003 -3.417575454 4.6575815 -5.55494038 6.7949464
## 2021.288 -0.410000 -4.447578454 3.6275785 -6.58494338 5.7649434
## 2021.292 -0.620003 -4.657581454 3.4175755 -6.79494638 5.5549404
## 2021.296 0.540001 -3.497577454 4.5775795 -5.63494238 6.7149444
## 2021.300 -1.160000 -5.197578454 2.8775785 -7.33494338 5.0149434
## 2021.304 0.639999 -3.397579454 4.6775775 -5.53494438 6.8149424
## 2021.308 0.270001 -3.767577454 4.3075795 -5.90494238 6.4449444
## 2021.312 -1.980000 -6.017578454 2.0575785 -8.15494338 4.1949434
## 2021.316 1.669998 -2.367580454 5.7075765 -4.50494538 7.8449414
## 2021.320 0.790001 -3.247577454 4.8275795 -5.38494238 6.9649444
## 2021.324 0.200001 -3.837577454 4.2375795 -5.97494238 6.3749444
## 2021.328 -1.450001 -5.487579454 2.5875775 -7.62494438 4.7249424
## 2021.332 1.270001 -2.767577454 5.3075795 -4.90494238 7.4449444
## 2021.336 -0.279999 -4.317577454 3.7575795 -6.45494238 5.8949444
## 2021.340 0.389999 -3.647579454 4.4275775 -5.78494438 6.5649424
## 2021.344 -0.060001 -4.097579454 3.9775775 -6.23494438 6.1149424
## 2021.348 -1.259998 -5.297576454 2.7775805 -7.43494138 4.9149454
## 2021.352 1.059997 -2.977581454 5.0975755 -5.11494638 7.2349404
## 2021.356 -0.849998 -4.887576454 3.1875805 -7.02494138 5.3249454
## 2021.360 1.160000 -2.877578454 5.1975785 -5.01494338 7.3349434
## 2021.364 3.750000 -0.287578454 7.7875785 -2.42494338 9.9249434
## 2021.368 -3.430001 -7.467579454 0.6075775 -9.60494438 2.7449424
## 2021.372 0.130001 -3.907577454 4.1675795 -6.04494238 6.3049444
## 2021.376 -2.409999 -6.447577454 1.6275795 -8.58494238 3.7649444
## 2021.380 4.110000 0.072421546 8.1475785 -2.06494338 10.2849434
## 2021.384 -1.729999 -5.767577454 2.3075795 -7.90494238 4.4449444
## 2021.388 -1.410000 -5.447578454 2.6275785 -7.58494338 4.7649434
## 2021.392 1.250000 -2.787578454 5.2875785 -4.92494338 7.4249434
## 2021.396 -0.530003 -4.567581454 3.5075755 -6.70494638 5.6449404
## 2021.400 -1.759998 -5.797576454 2.2775805 -7.93494138 4.4149454
## 2021.404 1.360001 -2.677577454 5.3975795 -4.81494238 7.5349444
## 2021.408 1.309997 -2.727581454 5.3475755 -4.86494638 7.4849404
## 2021.412 -0.009998 -4.047576454 4.0275805 -6.18494138 6.1649454
## 2021.416 0.279999 -3.757579454 4.3175775 -5.89494438 6.4549424
## 2021.420 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2021.424 -1.389999 -5.427577454 2.6475795 -7.56494238 4.7849444
## 2021.428 1.180000 -2.857578454 5.2175785 -4.99494338 7.3549434
## 2021.432 -0.020000 -4.057578454 4.0175785 -6.19494338 6.1549434
## 2021.436 -2.180001 -6.217579454 1.8575775 -8.35494438 3.9949424
## 2021.440 1.419998 -2.617580454 5.4575765 -4.75494538 7.5949414
## 2021.444 -0.649997 -4.687575454 3.3875815 -6.82494038 5.5249464
## 2021.448 0.439998 -3.597580454 4.4775765 -5.73494538 6.6149414
## 2021.452 -0.599998 -4.637576454 3.4375805 -6.77494138 5.5749454
## 2021.456 -0.260002 -4.297580454 3.7775765 -6.43494538 5.9149414
## 2021.460 0.139999 -3.897579454 4.1775775 -6.03494438 6.3149424
## 2021.464 0.950001 -3.087577454 4.9875795 -5.22494238 7.1249444
## 2021.468 -1.070000 -5.107578454 2.9675785 -7.24494338 5.1049434
## 2021.472 0.570000 -3.467578454 4.6075785 -5.60494338 6.7449434
## 2021.476 2.090000 -1.947578454 6.1275785 -4.08494338 8.2649434
## 2021.480 -1.610001 -5.647579454 2.4275775 -7.78494438 4.5649424
## 2021.484 0.910000 -3.127578454 4.9475785 -5.26494338 7.0849434
## 2021.488 -0.239998 -4.277576454 3.7975805 -6.41494138 5.9349454
## 2021.492 0.390000 -3.647578454 4.4275785 -5.78494338 6.5649434
## 2021.496 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.500 0.590000 -3.447578454 4.6275785 -5.58494338 6.7649434
## 2021.504 0.139999 -3.897579454 4.1775775 -6.03494438 6.3149424
## 2021.508 -2.450000 -6.487578454 1.5875785 -8.62494338 3.7249434
## 2021.512 -0.169999 -4.207577454 3.8675795 -6.34494238 6.0049444
## 2021.516 2.849999 -1.187579454 6.8875775 -3.32494438 9.0249424
## 2021.520 -0.410000 -4.447578454 3.6275785 -6.58494338 5.7649434
## 2021.524 2.290001 -1.747577454 6.3275795 -3.88494238 8.4649444
## 2021.528 -2.770000 -6.807578454 1.2675785 -8.94494338 3.4049434
## 2021.532 1.189998 -2.847580454 5.2275765 -4.98494538 7.3649414
## 2021.536 0.030003 -4.007575454 4.0675815 -6.14494038 6.2049464
## 2021.540 -1.590000 -5.627578454 2.4475785 -7.76494338 4.5849434
## 2021.544 1.709999 -2.327579454 5.7475775 -4.46494438 7.8849424
## 2021.548 -0.810002 -4.847580454 3.2275765 -6.98494538 5.3649414
## 2021.552 0.520001 -3.517577454 4.5575795 -5.65494238 6.6949444
## 2021.556 -0.640000 -4.677578454 3.3975785 -6.81494338 5.5349434
## 2021.560 -0.790001 -4.827579454 3.2475775 -6.96494438 5.3849424
## 2021.564 -0.269996 -4.307574454 3.7675825 -6.44493938 5.9049474
## 2021.568 4.219997 0.182418546 8.2575755 -1.95494638 10.3949404
## 2021.572 -3.090000 -7.127578454 0.9475785 -9.26494338 3.0849434
## 2021.576 1.080002 -2.957576454 5.1175805 -5.09494138 7.2549454
## 2021.580 -0.540001 -4.577579454 3.4975775 -6.71494438 5.6349424
## 2021.584 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.588 -0.830002 -4.867580454 3.2075765 -7.00494538 5.3449414
## 2021.592 1.400001 -2.637577454 5.4375795 -4.77494238 7.5749444
## 2021.596 -0.080001 -4.117579454 3.9575775 -6.25494438 6.0949424
## 2021.600 0.569999 -3.467579454 4.6075775 -5.60494438 6.7449424
## 2021.604 -0.840000 -4.877578454 3.1975785 -7.01494338 5.3349434
## 2021.608 1.460003 -2.577575454 5.4975815 -4.71494038 7.6349464
## 2021.612 -0.790001 -4.827579454 3.2475775 -6.96494438 5.3849424
## 2021.616 -0.759998 -4.797576454 3.2775805 -6.93494138 5.4149454
## 2021.620 0.269996 -3.767582454 4.3075745 -5.90494738 6.4449394
## 2021.624 -1.489997 -5.527575454 2.5475815 -7.66494038 4.6849464
## 2021.628 1.770000 -2.267578454 5.8075785 -4.40494338 7.9449434
## 2021.632 -0.470001 -4.507579454 3.5675775 -6.64494438 5.7049424
## 2021.636 1.450001 -2.587577454 5.4875795 -4.72494238 7.6249444
## 2021.640 -0.160000 -4.197578454 3.8775785 -6.33494338 6.0149434
## 2021.644 -0.380001 -4.417579454 3.6575775 -6.55494438 5.7949424
## 2021.648 -1.180001 -5.217579454 2.8575775 -7.35494438 4.9949424
## 2021.652 1.260003 -2.777575454 5.2975815 -4.91494038 7.4349464
## 2021.656 1.239997 -2.797581454 5.2775755 -4.93494638 7.4149404
## 2021.660 -1.750000 -5.787578454 2.2875785 -7.92494338 4.4249434
## 2021.664 -1.200000 -5.237578454 2.8375785 -7.37494338 4.9749434
## 2021.668 0.440002 -3.597576454 4.4775805 -5.73494138 6.6149454
## 2021.672 0.840000 -3.197578454 4.8775785 -5.33494338 7.0149434
## 2021.676 0.539997 -3.497581454 4.5775755 -5.63494638 6.7149404
## 2021.680 -0.469997 -4.507575454 3.5675815 -6.64494038 5.7049464
## 2021.684 0.689999 -3.347579454 4.7275775 -5.48494438 6.8649424
## 2021.688 -0.779999 -4.817577454 3.2575795 -6.95494238 5.3949444
## 2021.692 1.689998 -2.347580454 5.7275765 -4.48494538 7.8649414
## 2021.696 -1.159999 -5.197577454 2.8775795 -7.33494238 5.0149444
## 2021.700 0.130001 -3.907577454 4.1675795 -6.04494238 6.3049444
## 2021.704 1.659999 -2.377579454 5.6975775 -4.51494438 7.8349424
## 2021.708 -0.959999 -4.997577454 3.0775795 -7.13494238 5.2149444
## 2021.712 -5.520000 -9.557578454 -1.4824215 -11.69494338 0.6549434
## 2021.716 6.149998 2.112419546 10.1875765 -0.02494538 12.3249414
## 2021.720 -0.750000 -4.787578454 3.2875785 -6.92494338 5.4249434
## 2021.724 -1.689999 -5.727577454 2.3475795 -7.86494238 4.4849444
## 2021.728 1.160000 -2.877578454 5.1975785 -5.01494338 7.3349434
## 2021.732 -0.060002 -4.097580454 3.9775765 -6.23494538 6.1149414
## 2021.736 -0.299999 -4.337577454 3.7375795 -6.47494238 5.8749444
## 2021.740 1.320000 -2.717578454 5.3575785 -4.85494338 7.4949434
## 2021.744 -1.000000 -5.037578454 3.0375785 -7.17494338 5.1749434
## 2021.748 1.010002 -3.027576454 5.0475805 -5.16494138 7.1849454
## 2021.752 -0.389999 -4.427577454 3.6475795 -6.56494238 5.7849444
## 2021.756 -0.420002 -4.457580454 3.6175765 -6.59494538 5.7549414
## 2021.760 -0.250000 -4.287578454 3.7875785 -6.42494338 5.9249434
## 2021.764 1.319999 -2.717579454 5.3575775 -4.85494438 7.4949424
## 2021.768 -0.079998 -4.117576454 3.9575805 -6.25494138 6.0949454
## 2021.772 -1.610000 -5.647578454 2.4275785 -7.78494338 4.5649434
## 2021.776 1.119999 -2.917579454 5.1575775 -5.05494438 7.2949424
## 2021.780 -2.800000 -6.837578454 1.2375785 -8.97494338 3.3749434
## 2021.784 2.880002 -1.157576454 6.9175805 -3.29494138 9.0549454
## 2021.788 -0.340001 -4.377579454 3.6975775 -6.51494438 5.8349424
## 2021.792 2.009999 -2.027579454 6.0475775 -4.16494438 8.1849424
## 2021.796 -2.099999 -6.137577454 1.9375795 -8.27494238 4.0749444
## 2021.800 0.379997 -3.657581454 4.4175755 -5.79494638 6.5549404
## 2021.804 1.200001 -2.837577454 5.2375795 -4.97494238 7.3749444
## 2021.808 -0.889999 -4.927577454 3.1475795 -7.06494238 5.2849444
## 2021.812 0.900001 -3.137577454 4.9375795 -5.27494238 7.0749444
## 2021.816 -0.850002 -4.887580454 3.1875765 -7.02494538 5.3249414
## 2021.820 0.340000 -3.697578454 4.3775785 -5.83494338 6.5149434
## 2021.824 0.630001 -3.407577454 4.6675795 -5.54494238 6.8049444
## 2021.828 2.849999 -1.187579454 6.8875775 -3.32494438 9.0249424
## 2021.832 -3.549999 -7.587577454 0.4875795 -9.72494238 2.6249444
## 2021.836 0.040000 -3.997578454 4.0775785 -6.13494338 6.2149434
## 2021.840 -0.020000 -4.057578454 4.0175785 -6.19494338 6.1549434
## 2021.844 0.060001 -3.977577454 4.0975795 -6.11494238 6.2349444
## 2021.848 0.289997 -3.747581454 4.3275755 -5.88494638 6.4649404
## 2021.852 0.970002 -3.067576454 5.0075805 -5.20494138 7.1449454
## 2021.856 -0.230000 -4.267578454 3.8075785 -6.40494338 5.9449434
## 2021.860 0.380001 -3.657577454 4.4175795 -5.79494238 6.5549444
## 2021.864 -0.150001 -4.187579454 3.8875775 -6.32494438 6.0249424
## 2021.868 0.090000 -3.947578454 4.1275785 -6.08494338 6.2649434
## 2021.872 0.049999 -3.987579454 4.0875775 -6.12494438 6.2249424
## 2021.876 -0.169998 -4.207576454 3.8675805 -6.34494138 6.0049454
## 2021.880 0.930000 -3.107578454 4.9675785 -5.24494338 7.1049434
## 2021.884 -0.720001 -4.757579454 3.3175775 -6.89494438 5.4549424
## 2021.888 -0.070000 -4.107578454 3.9675785 -6.24494338 6.1049434
## 2021.892 -0.220001 -4.257579454 3.8175775 -6.39494438 5.9549424
## 2021.896 0.190003 -3.847575454 4.2275815 -5.98494038 6.3649464
## 2021.900 0.019996 -4.017582454 4.0575745 -6.15494738 6.1949394
## 2021.904 -0.029999 -4.067577454 4.0075795 -6.20494238 6.1449444
## 2021.908 -0.779998 -4.817576454 3.2575805 -6.95494138 5.3949454
## 2021.912 2.189998 -1.847580454 6.2275765 -3.98494538 8.3649414
## 2021.916 -1.349998 -5.387576454 2.6875805 -7.52494138 4.8249454
## 2021.920 0.500000 -3.537578454 4.5375785 -5.67494338 6.6749434
## 2021.924 2.310001 -1.727577454 6.3475795 -3.86494238 8.4849444
## 2021.928 -2.590004 -6.627582454 1.4475745 -8.76494738 3.5849394
## 2021.932 0.920002 -3.117576454 4.9575805 -5.25494138 7.0949454
## 2021.936 0.470001 -3.567577454 4.5075795 -5.70494238 6.6449444
## 2021.940 -0.900001 -4.937579454 3.1375775 -7.07494438 5.2749424
## 2021.944 0.439998 -3.597580454 4.4775765 -5.73494538 6.6149414
## 2021.948 2.419999 -1.617579454 6.4575775 -3.75494438 8.5949424
## 2021.952 -0.640000 -4.677578454 3.3975785 -6.81494338 5.5349434
## 2021.956 -1.359997 -5.397575454 2.6775815 -7.53494038 4.8149464
## 2021.960 1.399998 -2.637580454 5.4375765 -4.77494538 7.5749414
## 2021.964 0.630005 -3.407573454 4.6675835 -5.54493838 6.8049484
## 2021.968 -0.960007 -4.997585454 3.0775715 -7.13495038 5.2149364
## 2021.972 1.280007 -2.757571454 5.3175855 -4.89493638 7.4549504
## 2021.976 -0.200005 -4.237583454 3.8375735 -6.37494838 5.9749384
## 2021.980 0.500000 -3.537578454 4.5375785 -5.67494338 6.6749434
## 2021.984 -1.509994 -5.547572454 2.5275845 -7.68493738 4.6649494
## 2021.988 -0.210007 -4.247585454 3.8275715 -6.38495038 5.9649364
## 2021.992 0.210007 -3.827571454 4.2475855 -5.96493638 6.3849504
## 2021.996 -0.550003 -4.587581454 3.4875755 -6.72494638 5.6249404
## 2022.000 1.409996 -2.627582454 5.4475745 -4.76494738 7.5849394
## 2022.004 0.240005 -3.797573454 4.2775835 -5.93493838 6.4149484
## 2022.008 0.519997 -3.517581454 4.5575755 -5.65494638 6.6949404
## 2022.012 0.440002 -3.597576454 4.4775805 -5.73494138 6.6149454
## 2022.016 -1.139999 -5.177577454 2.8975795 -7.31494238 5.0349444
## 2022.020 0.360000 -3.677578454 4.3975785 -5.81494338 6.5349434
## 2022.024 1.129998 -2.907580454 5.1675765 -5.04494538 7.3049414
## 2022.028 -1.860001 -5.897579454 2.1775775 -8.03494438 4.3149424
## 2022.032 -1.070000 -5.107578454 2.9675785 -7.24494338 5.1049434
## 2022.036 2.300003 -1.737575454 6.3375815 -3.87494038 8.4749464checkresiduals(fit)
##
## Ljung-Box test
##
## data: Residuals from Seasonal naive method
## Q* = 188.88, df = 100, p-value = 1.958e-07
##
## Model df: 0. Total lags used: 100#Model2
fit_ets = ets(DB) #Residual SD = 1.6709## Warning in ets(DB): I can't handle data with frequency greater than 24.
## Seasonality will be ignored. Try stlf() if you need seasonal forecasts.print(summary(fit_ets))## ETS(A,N,N)
##
## Call:
## ets(y = DB)
##
## Smoothing parameters:
## alpha = 1e-04
##
## Initial states:
## l = 0.0654
##
## sigma: 1.6709
##
## AIC AICc BIC
## 3624.642 3624.691 3637.286
##
## Training set error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set -6.588594e-05 1.667521 1.199366 -Inf Inf 0.7039689 -0.5031371
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set -6.588594e-05 1.667521 1.199366 -Inf Inf 0.7039689 -0.5031371checkresiduals(fit_ets)
##
## Ljung-Box test
##
## data: Residuals from ETS(A,N,N)
## Q* = 276.67, df = 98, p-value < 2.2e-16
##
## Model df: 2. Total lags used: 100We will forecast using model 2 as it appears to be the better model
###Forecast using Model 2###
FB = forecast(fit_ets, h=1)
autoplot(FB, include=24)
accuracy(FB)## ME RMSE MAE MPE MAPE MASE ACF1
## Training set -6.588594e-05 1.667521 1.199366 -Inf Inf 0.7039689 -0.5031371print(summary(FB))##
## Forecast method: ETS(A,N,N)
##
## Model Information:
## ETS(A,N,N)
##
## Call:
## ets(y = DB)
##
## Smoothing parameters:
## alpha = 1e-04
##
## Initial states:
## l = 0.0654
##
## sigma: 1.6709
##
## AIC AICc BIC
## 3624.642 3624.691 3637.286
##
## Error measures:
## ME RMSE MAE MPE MAPE MASE ACF1
## Training set -6.588594e-05 1.667521 1.199366 -Inf Inf 0.7039689 -0.5031371
##
## Forecasts:
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 2020.040 0.06540365 -2.075897 2.206705 -3.209434 3.340241
## Point Forecast Lo 80 Hi 80 Lo 95 Hi 95
## 2020.040 0.06540365 -2.075897 2.206705 -3.209434 3.340241