Chapter 1

Introduction to Time Series Analysis and R

Topics covered in this Chapter

  • Time series data
  • Time series analysis
  • Key R packages in this book
  • R and time series analysis

The following packages will be used in this book:

  • forecast
  • h2o
  • TSstudio
  • plotly
  • ggplot2
  • dplyr
  • lubridate
  • xts
  • zoo
  • UKgrid

Time series data

Time series data is one of the most common formats of data, and it is used to describe an event or phenomena that occurs over time. Time series data has a simple requirement—its values need to be captured at equally spaced time intervals, such as seconds, minutes, hours, days, months,e.t.c

  • The UK hourly demand for electricity

  • The S&P 500 daily closing values

  • The US monthly unemployment rate

  • The annual number of sunspots

+ Seasonality: If we look at graph 1, there is high demand during the day and low demand during the night time.

  • Trend: A clear upper trend can be seen in graph 2 that’s between 2013 and 2017.

  • Cycles: We can see cyclic patterns in both graph 3 and graph 4.

  • Correlation: Although S&P 500 and the US unemployment rate are presented with different frequencies, you can see that the unemployment rate has decreased since 2013 (negative trend)

Time series analysis

  • Data collection

  • Data preparation

  • Descriptive analysis

  • Predictive analysis

A brief introduction to R

R operators

  • Assignment operators

  • Arithmetic operators

  • Logical operators

  • Relational operators

# Assignment operators
a <- "Hello World"
a
## [1] "Hello World"
class(a)
## [1] "character"
b <- a
b
## [1] "Hello World"
# Arithmetic operators
x <- 10
y <- 2
x + y
## [1] 12
x/ 2.5
## [1] 4
y ^ 3
## [1] 8
# Logical operators
# The following are reserved names in R for Boolean objects:
# TRUE, FALSE or their shortcut T and F
a <- TRUE
b <- FALSE
# We can also test if a Boolean object is TRUE or FALSE
isTRUE(a)
## [1] TRUE
## [1] TRUE
isTRUE(b)
## [1] FALSE
## [1] FALSE
# The AND operator
a & b
## [1] FALSE
# The OR operator
a | b
## [1] TRUE
# The NOT operator
!a
## [1] FALSE
# The AND operator will return TRUE only if both a and b are TRUE
 if (a & b) {print("a AND b is true")
 } else {
    print("a And b is false")
 }
## [1] "a And b is false"
# Relational operators
# Assign for variables a and b the value 5, and 7 to c
a <- b <- 5
c <- 7

if(a == b){
    print("a is equal to b")
    } else{
        print("a is not equal to b")
    }
## [1] "a is equal to b"
d <- ifelse(test = a >= c,
            yes = "a is greater or equal to c",
            no = "a is smaller than c" )
d
## [1] "a is smaller than c"

Here, the ifelse function has three arguments: + test: Evaluates a logical test

  • yes: Defines what should be the output if the test result is TRUE

  • no: Defines what should be the output if the test result is FALSE

The R package

Installation and maintenance of a package

Note: You can use this function to install more than one package at once by using a vector type of input: install.packages(c(“lubridate”,“dplyr”,“h2o”))

Loading a package in the R working environment

search()
## [1] ".GlobalEnv"        "package:stats"     "package:graphics" 
## [4] "package:grDevices" "package:utils"     "package:datasets" 
## [7] "package:methods"   "Autoloads"         "package:base"
library(TSstudio)
## Warning: package 'TSstudio' was built under R version 4.5.1
search()
##  [1] ".GlobalEnv"        "package:TSstudio"  "package:stats"    
##  [4] "package:graphics"  "package:grDevices" "package:utils"    
##  [7] "package:datasets"  "package:methods"   "Autoloads"        
## [10] "package:base"
detach("package:TSstudio", unload=TRUE)
search()
## [1] ".GlobalEnv"        "package:stats"     "package:graphics" 
## [4] "package:grDevices" "package:utils"     "package:datasets" 
## [7] "package:methods"   "Autoloads"         "package:base"
library(TSstudio)
## Warning: package 'TSstudio' was built under R version 4.5.1
search()
##  [1] ".GlobalEnv"        "package:TSstudio"  "package:stats"    
##  [4] "package:graphics"  "package:grDevices" "package:utils"    
##  [7] "package:datasets"  "package:methods"   "Autoloads"        
## [10] "package:base"
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.5.1
library(plotly)
## Warning: package 'plotly' was built under R version 4.5.1
## 
## Attaching package: 'plotly'
## The following object is masked from 'package:ggplot2':
## 
##     last_plot
## The following object is masked from 'package:stats':
## 
##     filter
## The following object is masked from 'package:graphics':
## 
##     layout
search()
##  [1] ".GlobalEnv"        "package:plotly"    "package:ggplot2"  
##  [4] "package:TSstudio"  "package:stats"     "package:graphics" 
##  [7] "package:grDevices" "package:utils"     "package:datasets" 
## [10] "package:methods"   "Autoloads"         "package:base"

Importing and loading data to R

### Flat files
 file_url <- "https://github.com/PacktPublishing/Hands-On-Time-Series-Analysis-with-R/blob/master/Chapter01/TOTALNSA.csv"
file_url
## [1] "https://github.com/PacktPublishing/Hands-On-Time-Series-Analysis-with-R/blob/master/Chapter01/TOTALNSA.csv"
df1 <- read.csv(file = file_url, stringsAsFactors = FALSE)
## Warning in scan(file = file, what = what, sep = sep, quote = quote, dec = dec,
## : EOF within quoted string
class(df1)
## [1] "data.frame"
str(df1)
## 'data.frame':    1073 obs. of  1 variable:
##  $ X..DOCTYPE.html.: chr  "<html" "  lang=en" "  " "  data-color-mode=auto data-light-theme=light data-dark-theme=dark" ...
View(df1)

Web API

library(Quandl)
## Warning: package 'Quandl' was built under R version 4.5.1
## Loading required package: xts
## Warning: package 'xts' was built under R version 4.5.1
## Loading required package: zoo
## Warning: package 'zoo' was built under R version 4.5.1
## 
## Attaching package: 'zoo'
## The following objects are masked from 'package:base':
## 
##     as.Date, as.Date.numeric
#df2 <- Quandl(code = "FRED/TOTALNSA",
#type = "raw",
#collapse = "monthly",
#order = "asc",
#end_date="2017-12-31")

R datasets

data("USVSales", package = "TSstudio")
class(USVSales)
## [1] "ts"
head(USVSales)
##         Jan    Feb    Mar    Apr    May    Jun
## 1976  885.2  994.7 1243.6 1191.2 1203.2 1254.7
US_V_Sales <- TSstudio::USVSales
US_V_Sales
##           Jan      Feb      Mar      Apr      May      Jun      Jul      Aug
## 1976  885.200  994.700 1243.600 1191.200 1203.200 1254.700 1162.300 1026.100
## 1977  969.900 1092.100 1451.100 1354.400 1377.100 1459.800 1202.000 1234.500
## 1978  931.300 1071.400 1480.600 1406.500 1557.600 1549.400 1289.200 1317.100
## 1979 1077.500 1148.700 1483.800 1304.600 1373.000 1183.800 1164.400 1207.200
## 1980 1042.000 1038.700 1141.900  946.600  893.800  932.700 1006.600  884.200
## 1981  814.300  949.200 1178.800  962.900  933.100  942.700  896.900 1009.000
## 1982  714.400  840.500 1057.300  877.200 1020.200  868.400  827.400  794.000
## 1983  789.300  821.600 1102.000 1012.300 1109.900 1205.400 1051.700  993.100
## 1984 1056.900 1158.900 1351.500 1245.800 1451.700 1315.900 1237.200 1129.600
## 1985 1196.600 1210.600 1391.000 1380.300 1498.900 1332.900 1337.600 1345.800
## 1986 1213.800 1182.200 1297.600 1390.100 1530.300 1426.500 1378.000 1344.100
## 1987  918.900 1148.400 1381.700 1385.300 1298.500 1419.600 1355.800 1400.600
## 1988 1122.500 1308.800 1505.000 1333.500 1455.400 1483.100 1302.800 1317.000
## 1989 1084.200 1127.300 1337.600 1354.800 1438.400 1329.200 1279.100 1441.900
## 1990 1161.300 1073.400 1295.200 1226.300 1332.100 1306.100 1244.400 1196.900
## 1991  839.300  927.500 1103.100 1059.600 1174.000 1175.300 1185.200 1063.000
## 1992  867.800  988.500 1128.400 1144.900 1169.700 1297.000 1158.200 1065.200
## 1993  915.300  976.100 1228.900 1273.500 1342.200 1383.100 1266.900 1158.800
## 1994 1045.500 1170.900 1472.200 1337.900 1382.100 1479.600 1219.500 1329.300
## 1995 1031.500 1128.700 1403.300 1216.000 1427.500 1477.200 1255.300 1365.200
## 1996 1050.600 1237.900 1404.400 1359.300 1522.900 1404.200 1317.300 1333.400
## 1997 1114.600 1177.400 1425.900 1310.300 1435.800 1355.000 1376.600 1348.200
## 1998 1044.100 1173.000 1405.500 1390.900 1543.900 1606.600 1264.900 1265.100
## 1999 1123.700 1325.700 1580.200 1451.700 1632.600 1651.400 1529.000 1523.600
## 2000 1239.300 1539.300 1713.000 1538.900 1664.900 1662.700 1468.600 1578.800
## 2001 1196.300 1381.500 1627.800 1377.000 1635.200 1652.200 1374.600 1478.200
## 2002 1129.999 1328.755 1541.215 1471.801 1538.496 1563.938 1551.996 1734.956
## 2003 1108.279 1237.619 1474.819 1436.733 1601.145 1502.328 1538.781 1656.167
## 2004 1149.668 1303.718 1540.321 1455.643 1660.854 1480.758 1589.173 1463.409
## 2005 1095.851 1286.074 1615.983 1542.051 1537.321 1720.006 1845.713 1524.158
## 2006 1176.162 1298.130 1576.647 1489.804 1533.712 1545.268 1531.114 1530.014
## 2007 1124.216 1285.136 1574.877 1365.965 1590.262 1481.210 1331.024 1500.386
## 2008 1063.408 1196.431 1378.605 1272.999 1420.485 1212.540 1156.003 1269.113
## 2009  670.466  701.635  872.848  832.588  938.410  874.874 1011.769 1274.678
## 2010  712.469  793.362 1083.953  997.334 1117.570 1000.455 1065.748 1011.564
## 2011  836.366 1007.082 1276.843 1173.520 1081.272 1071.229 1086.064 1094.479
## 2012  938.170 1175.820 1434.004 1204.471 1369.493 1310.158 1171.809 1305.342
## 2013 1065.798 1217.858 1479.427 1313.768 1473.275 1425.802 1335.833 1527.483
## 2014 1043.019 1221.370 1562.748 1408.232 1644.367 1451.814 1473.962 1607.315
## 2015 1177.910 1285.147 1579.627 1479.335 1668.452 1518.660 1546.818 1598.265
## 2016 1188.775 1374.272 1614.069 1524.100 1552.659 1548.860 1546.818 1539.790
## 2017 1164.323 1352.076 1582.674 1449.717 1543.862 1502.804 1441.011 1512.070
## 2018 1181.715 1328.140 1687.609 1391.226 1626.484 1586.664 1403.118 1527.416
## 2019 1171.503 1288.278 1642.750 1372.659 1628.074 1554.748 1443.947 1685.342
##           Sep      Oct      Nov      Dec
## 1976 1057.900 1129.400 1084.400 1061.800
## 1977 1104.600 1341.300 1181.600 1090.600
## 1978 1103.500 1397.000 1248.700 1068.500
## 1979 1029.600 1197.600 1018.600  959.700
## 1980  847.400 1043.400  870.500  821.400
## 1981  864.800  822.000  743.000  673.200
## 1982  891.100  840.900  971.500  839.300
## 1983  980.400 1126.000 1050.200 1054.000
## 1984 1053.400 1266.500 1141.100 1074.800
## 1985 1463.500 1243.200 1120.900 1198.800
## 1986 1733.600 1270.600 1119.900 1431.100
## 1987 1300.500 1193.200 1110.700 1249.200
## 1988 1223.200 1249.900 1191.100 1285.200
## 1989 1263.800 1116.900 1047.600 1011.900
## 1990 1144.800 1169.000 1000.500  987.200
## 1991 1062.200 1047.600  932.100  961.500
## 1992 1095.400 1132.200  988.600 1070.700
## 1993 1164.600 1182.500 1140.900 1152.700
## 1994 1252.100 1291.800 1197.900 1218.900
## 1995 1214.400 1226.000 1169.100 1202.600
## 1996 1231.400 1296.600 1146.400 1151.800
## 1997 1238.500 1282.000 1146.100 1287.700
## 1998 1314.400 1407.500 1176.400 1375.000
## 1999 1442.500 1396.800 1317.200 1440.600
## 2000 1506.300 1367.700 1260.900 1271.200
## 2001 1312.500 1753.200 1347.900 1336.100
## 2002 1250.986 1331.090 1227.557 1467.708
## 2003 1329.499 1333.497 1285.360 1463.264
## 2004 1470.081 1370.093 1231.197 1583.603
## 2005 1366.930 1184.160 1200.786 1525.713
## 2006 1394.215 1260.626 1236.584 1476.413
## 2007 1335.814 1256.533 1200.511 1414.147
## 2008  984.592  859.026  763.936  916.120
## 2009  759.633  853.942  761.865 1049.270
## 2010  973.954  965.135  888.085 1162.897
## 2011 1076.037 1048.258 1028.774 1268.462
## 2012 1206.182 1119.148 1169.803 1375.084
## 2013 1152.814 1235.532 1271.446 1383.676
## 2014 1272.036 1312.329 1324.117 1538.534
## 2015 1474.925 1486.420 1358.777 1671.288
## 2016 1462.065 1397.057 1399.375 1717.933
## 2017 1553.133 1385.649 1424.527 1639.555
## 2018 1474.997 1405.908 1422.219 1665.906
## 2019 1315.632 1380.180 1446.483 1565.023
class(US_V_Sales)
## [1] "ts"
length(US_V_Sales)
## [1] 528

Working and manipulating data

  • matrix (base): This is the basic matrix format and is based on the numeric index of rows and columns.

  • data.frame (base): It includes additional attributes, which support the combination of multiple classes in the same table and different indexing methods.

  • ts (stats) and mts (stats): This is R’s built-in function for time series data, where ts is designed to be used with single time series data and multiple time series (mts) supports multiple time series data

  • zoo (zoo) and xts (xts): Both are designated data structures for time series data and are based on the matrix format with a timestamp index.

Querying the data

data("iris", package = "datasets")
str(iris)
## 'data.frame':    150 obs. of  5 variables:
##  $ Sepal.Length: num  5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...
##  $ Sepal.Width : num  3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...
##  $ Petal.Length: num  1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...
##  $ Petal.Width : num  0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...
##  $ Species     : Factor w/ 3 levels "setosa","versicolor",..: 1 1 1 1 1 1 1 1 1 1 ...
summary(iris)
##   Sepal.Length    Sepal.Width     Petal.Length    Petal.Width   
##  Min.   :4.300   Min.   :2.000   Min.   :1.000   Min.   :0.100  
##  1st Qu.:5.100   1st Qu.:2.800   1st Qu.:1.600   1st Qu.:0.300  
##  Median :5.800   Median :3.000   Median :4.350   Median :1.300  
##  Mean   :5.843   Mean   :3.057   Mean   :3.758   Mean   :1.199  
##  3rd Qu.:6.400   3rd Qu.:3.300   3rd Qu.:5.100   3rd Qu.:1.800  
##  Max.   :7.900   Max.   :4.400   Max.   :6.900   Max.   :2.500  
##        Species  
##  setosa    :50  
##  versicolor:50  
##  virginica :50  
##                 
##                 
## 
iris[1:5,2]
## [1] 3.5 3.0 3.2 3.1 3.6
iris$Sepal.Width[1:5]
## [1] 3.5 3.0 3.2 3.1 3.6
iris$Sepal.Width[1:5]
## [1] 3.5 3.0 3.2 3.1 3.6
iris[1:5, "Sepal.Width"]
## [1] 3.5 3.0 3.2 3.1 3.6
iris[1:5, which(colnames(iris) == "Sepal.Width")]
## [1] 3.5 3.0 3.2 3.1 3.6
Setosa_df1 <- subset(x = iris, iris$Species == "setosa")
Setosa_df1
##    Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1           5.1         3.5          1.4         0.2  setosa
## 2           4.9         3.0          1.4         0.2  setosa
## 3           4.7         3.2          1.3         0.2  setosa
## 4           4.6         3.1          1.5         0.2  setosa
## 5           5.0         3.6          1.4         0.2  setosa
## 6           5.4         3.9          1.7         0.4  setosa
## 7           4.6         3.4          1.4         0.3  setosa
## 8           5.0         3.4          1.5         0.2  setosa
## 9           4.4         2.9          1.4         0.2  setosa
## 10          4.9         3.1          1.5         0.1  setosa
## 11          5.4         3.7          1.5         0.2  setosa
## 12          4.8         3.4          1.6         0.2  setosa
## 13          4.8         3.0          1.4         0.1  setosa
## 14          4.3         3.0          1.1         0.1  setosa
## 15          5.8         4.0          1.2         0.2  setosa
## 16          5.7         4.4          1.5         0.4  setosa
## 17          5.4         3.9          1.3         0.4  setosa
## 18          5.1         3.5          1.4         0.3  setosa
## 19          5.7         3.8          1.7         0.3  setosa
## 20          5.1         3.8          1.5         0.3  setosa
## 21          5.4         3.4          1.7         0.2  setosa
## 22          5.1         3.7          1.5         0.4  setosa
## 23          4.6         3.6          1.0         0.2  setosa
## 24          5.1         3.3          1.7         0.5  setosa
## 25          4.8         3.4          1.9         0.2  setosa
## 26          5.0         3.0          1.6         0.2  setosa
## 27          5.0         3.4          1.6         0.4  setosa
## 28          5.2         3.5          1.5         0.2  setosa
## 29          5.2         3.4          1.4         0.2  setosa
## 30          4.7         3.2          1.6         0.2  setosa
## 31          4.8         3.1          1.6         0.2  setosa
## 32          5.4         3.4          1.5         0.4  setosa
## 33          5.2         4.1          1.5         0.1  setosa
## 34          5.5         4.2          1.4         0.2  setosa
## 35          4.9         3.1          1.5         0.2  setosa
## 36          5.0         3.2          1.2         0.2  setosa
## 37          5.5         3.5          1.3         0.2  setosa
## 38          4.9         3.6          1.4         0.1  setosa
## 39          4.4         3.0          1.3         0.2  setosa
## 40          5.1         3.4          1.5         0.2  setosa
## 41          5.0         3.5          1.3         0.3  setosa
## 42          4.5         2.3          1.3         0.3  setosa
## 43          4.4         3.2          1.3         0.2  setosa
## 44          5.0         3.5          1.6         0.6  setosa
## 45          5.1         3.8          1.9         0.4  setosa
## 46          4.8         3.0          1.4         0.3  setosa
## 47          5.1         3.8          1.6         0.2  setosa
## 48          4.6         3.2          1.4         0.2  setosa
## 49          5.3         3.7          1.5         0.2  setosa
## 50          5.0         3.3          1.4         0.2  setosa
head(Setosa_df1)
##   Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1          5.1         3.5          1.4         0.2  setosa
## 2          4.9         3.0          1.4         0.2  setosa
## 3          4.7         3.2          1.3         0.2  setosa
## 4          4.6         3.1          1.5         0.2  setosa
## 5          5.0         3.6          1.4         0.2  setosa
## 6          5.4         3.9          1.7         0.4  setosa
Setosa_df2 <- iris[which(iris$Species == "setosa"), ]

head(Setosa_df2)
##   Sepal.Length Sepal.Width Petal.Length Petal.Width Species
## 1          5.1         3.5          1.4         0.2  setosa
## 2          4.9         3.0          1.4         0.2  setosa
## 3          4.7         3.2          1.3         0.2  setosa
## 4          4.6         3.1          1.5         0.2  setosa
## 5          5.0         3.6          1.4         0.2  setosa
## 6          5.4         3.9          1.7         0.4  setosa
identical(Setosa_df1, Setosa_df2)
## [1] TRUE
summary(Setosa_df1)
##   Sepal.Length    Sepal.Width     Petal.Length    Petal.Width   
##  Min.   :4.300   Min.   :2.300   Min.   :1.000   Min.   :0.100  
##  1st Qu.:4.800   1st Qu.:3.200   1st Qu.:1.400   1st Qu.:0.200  
##  Median :5.000   Median :3.400   Median :1.500   Median :0.200  
##  Mean   :5.006   Mean   :3.428   Mean   :1.462   Mean   :0.246  
##  3rd Qu.:5.200   3rd Qu.:3.675   3rd Qu.:1.575   3rd Qu.:0.300  
##  Max.   :5.800   Max.   :4.400   Max.   :1.900   Max.   :0.600  
##        Species  
##  setosa    :50  
##  versicolor: 0  
##  virginica : 0  
##                 
##                 
## 

Help and additional resources

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Package documentation and vignettes

Google it ### Summary This chapter provided an overview of time series analysis with R. We started with the basic definition of time series data and the analysis process, which we will use throughout this book

Chapter 2

Working with Date and Time Objects

In this chapter, we will cover the following topics: + The date and time formats + Date and time objects in R + Creating a date or time index + Manipulation of date and time with lubridate package

The date and time formats

One of the main challenges of working with date and time objects is the variety of formats that can be used for representing date and time.

Date and time objects in R <>

  1. Date: This is a simple representation of a calendar date following the ISO 8601 international standard format (or the Gregorian calendar format) using the YYYY-m-d date format. Each date object has a numeric value of the number of days since the origin point (the default setting is 1970-01-01). In the Handling numeric date objects section in this chapter, we will discuss the usage of the origin in the reformatting process of date objects in more detail. It will make sense to use this format when the frequency of the data is daily or lower (for example, monthly, quarterly, and so on) and the time of the day doesn’t matter.

  2. POSIXct/POSIXlt: Also known as the DateTime classes (that is, they represent both date and time), these are two POSIX date/time classes that represent the calendar date, the time of the day, and the time zone using the ISO 8601 international standard format of YYYY-m-d H:M:S. The main difference between the two is the form in which the values are stored internally. The POSIXct class, similar to the Date class, represents the (signed) number of seconds since the origin point (1970-01-01, UTC time zone) as a numeric vector. On the other hand, the POSIXlt class stores each one of the date and time elements as a list.

Creating date and time objects

R has a structural method to assign values to a specific class or object, which is usually the combination of as.[the class name]. As long as the assigned object follows the relevant format, the creation of the object is fairly simple. For instance, we can convert the “2014-5-12” string into a Date object using the as.Date function: date <- as.Date(“2014-5-12”) date

date <- as.Date("2014-5-12")
date
## [1] "2014-05-12"
date <- Sys.Date()
date
## [1] "2025-10-08"
time_ct <- Sys.time()
time_ct
## [1] "2025-10-08 12:40:06 WAT"
class(date)
## [1] "Date"
class(time_ct)
## [1] "POSIXct" "POSIXt"
time_it <- as.POSIXlt(time_ct)
time_it
## [1] "2025-10-08 12:40:06 WAT"
class(time_it)
## [1] "POSIXlt" "POSIXt"

Importing date and time objects

Last but not least, even if your objects are already reformatted to the ISO 8601 standard, in some cases, the attributes are lost and R will automatically classify it as a string or categorical variable (if the stringsAsFactors function is set to TRUE)

Reformatting and converting date objects

Reformatting or converting date objects is the process of transforming a non-date (or POSIXct/lt) object such as character or numeric to a Date format (or POSIXct/lt).

url <- "https://rpubs.com/Mr_Isaac/1350838"
url
## [1] "https://rpubs.com/Mr_Isaac/1350838"
dates_df <- read.csv(url, stringsAsFactors = FALSE)
class(dates_df)
## [1] "data.frame"
str(dates_df)
## 'data.frame':    262 obs. of  1 variable:
##  $ X..DOCTYPE.html.: chr  "<html>" "<head>" "<meta content='IE=edge' http-equiv='X-UA-Compatible'>" "<meta content='width=800' name='viewport'>" ...
Sys.timezone()
## [1] "Africa/Lagos"
time_str <- "2018-12-31 23:59:59"
time_default_tz <- as.POSIXct(time_str)
time_assign_tz <- as.POSIXct(time_str, tz = "GMT")
print(c(time_default_tz, time_assign_tz))
## [1] "2018-12-31 23:59:59 WAT" "2019-01-01 00:59:59 WAT"
class(date)
## [1] "Date"
class(time_ct)
## [1] "POSIXct" "POSIXt"
time_lt <- as.POSIXlt(time_ct)
time_lt
## [1] "2025-10-08 12:40:06 WAT"
class(time_lt)
## [1] "POSIXlt" "POSIXt"
unclass(time_ct)
## [1] 1759923607
unclass(time_lt)
## $sec
## [1] 6.963203
## 
## $min
## [1] 40
## 
## $hour
## [1] 12
## 
## $mday
## [1] 8
## 
## $mon
## [1] 9
## 
## $year
## [1] 125
## 
## $wday
## [1] 3
## 
## $yday
## [1] 280
## 
## $isdst
## [1] 0
## 
## $zone
## [1] "WAT"
## 
## $gmtoff
## [1] 3600
## 
## attr(,"tzone")
## [1] ""    "WAT" "   "
## attr(,"balanced")
## [1] TRUE
daily_index <- seq.Date(from = as.Date("2016-01-01"), # Starting date
                        to = as.Date("2018-12-31"), # Ending date
                        by = "day") # Defining the time intervals
head(daily_index)
## [1] "2016-01-01" "2016-01-02" "2016-01-03" "2016-01-04" "2016-01-05"
## [6] "2016-01-06"
daily_3_index <- seq.Date(from = as.Date("2016-01-01"),
                          to = as.Date("2018-12-31"),
                          by = "3 days")
head(daily_3_index)
## [1] "2016-01-01" "2016-01-04" "2016-01-07" "2016-01-10" "2016-01-13"
## [6] "2016-01-16"
hourly_index <- seq.POSIXt(from = as.POSIXct("2018-06-01"), by = "hours",
                           length.out = 48)
str(hourly_index)
##  POSIXct[1:48], format: "2018-06-01 00:00:00" "2018-06-01 01:00:00" "2018-06-01 02:00:00" ...
time_US_str <- "Monday, December 31, 2018 11:59:59 PM"
time_base <- as.POSIXct(time_US_str,
                        format = "%A, %B %d, %Y %I:%M:%S %p")
library(lubridate)
## Warning: package 'lubridate' was built under R version 4.5.1
## 
## Attaching package: 'lubridate'
## The following objects are masked from 'package:base':
## 
##     date, intersect, setdiff, union
time_lubridate <- mdy_hms(time_US_str, tz = "EST")
time_lubridate
## [1] "2018-12-31 23:59:59 EST"
dates_df <- read.csv(url, stringsAsFactors = FALSE)
dates_df
##                                                                                                                                                                                                                                                                                                                         X..DOCTYPE.html.
## 1                                                                                                                                                                                                                                                                                                                                 <html>
## 2                                                                                                                                                                                                                                                                                                                                 <head>
## 3                                                                                                                                                                                                                                                                                  <meta content='IE=edge' http-equiv='X-UA-Compatible'>
## 4                                                                                                                                                                                                                                                                                             <meta content='width=800' name='viewport'>
## 5                                                                                                                                                                                                                                                                                                  <title>RPubs - dates formats </title>
## 6                                                                                                                                                                                                                                                                                    <meta name=csrf-param content=authenticity_token />
## 7                                                                                                                                                                                                                <meta name=csrf-token content=QEXB4XArByS3PwqmLngn8pAJDtxM1GBgeYy130E0C-vUSCxvHbhVvkHpinyPgXfWJcyd4Meuu6mUHohox2NSkQ />
## 8                                                                                                                                                                                                        <link rel=stylesheet href=/assets/application-798c5c8185e0577f32ef6e494dc6f4844600dab47b198e609bdfdfc5c2bd1ba6.css media=all />
## 9                                                                                                                                                                                                           <link rel=stylesheet href=/assets/pub/show-bd33ac3577cad80ddfffbc9a91fd52ff5a1492004beda059d971361a49a8afe9.css media=all />
## 10                                                                                                                                                                                                                         <script src=/assets/application-f0c30dc3dc92395deb81849f84afdb351879582dcbbd6f2706a66bff0524a8fc.js></script>
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## 33                                                                                                                                                                                                                                                                                                                          ga('require'
## 34                                                                                                                                                                                                                                                                                                                            'linker');
## 35                                                                                                                                                                                                                                                                                                                  ga('linker:autoLink'
## 36                                                                                                                                                                                                                                                                                                                        ['rstudio.com'
## 37                                                                                                                                                                                                                                                                                                                   'rstudio.github.io'
## 38                                                                                                                                                                                                                                                                                                                  'rviews.rstudio.com'
## 39                                                                                                                                                                                                                                                                                                               'community.rstudio.com'
## 40                                                                                                                                                                                                                                                                                                                   'rpubs.rstudio.com'
## 41                                                                                                                                                                                                                                                                                                            'environments.rstudio.com'
## 42                                                                                                                                                                                                                                                                                                                         'rstudio.org'
## 43                                                                                                                                                                                                                                                                                                                 'dailies.rstudio.com'
## 44                                                                                                                                                                                                                                                                                                                   'pages.rstudio.com'
## 45                                                                                                                                                                                                                                                                                                                      'db.rstudio.com'
## 46                                                                                                                                                                                                                                                                                                               'solutions.rstudio.com'
## 47                                                                                                                                                                                                                                                                                                                    'docs.rstudio.com'
## 48                                                                                                                                                                                                                                                                                                                   'spark.rstudio.com'
## 49                                                                                                                                                                                                                                                                                                                   'shiny.rstudio.com'
## 50                                                                                                                                                                                                                                                                                                               'education.rstudio.com'
## 51                                                                                                                                                                                                                                                                                                                       'rstudio.cloud'
## 52                                                                                                                                                                                                                                                                                                                        'shinyapps.io'
## 53                                                                                                                                                                                                                                                                                                               'teamadmin.rstudio.com'
## 54                                                                                                                                                                                                                                                                                                                    'blog.rstudio.com'
## 55                                                                                                                                                                                                                                                                                                             'support.rstudio.com'] );
## 56                                                                                                                                                                                                                                                                                                                             ga('send'
## 57                                                                                                                                                                                                                                                                                                                          'pageview');
## 58                                                                                                                                                                                                                                                                                                                             </script>
## 59                                                                                                                                                                                                                                                                                                                               </head>
## 60                                                                                                                                                                                                                                                                                                 <body class='show-pub show-toolbars'>
## 61                                                                                                                                                                                                                                                                                  <div class='modal' id='login' style='display: none'>
## 62                                                                                                                                                                                                                                                                                                            <div class='modal-header'>
## 63                                                                                                                                                                                                                                                                                                                      <h1>Sign In</h1>
## 64                                                                                                                                                                                                                                                                                                                                </div>
## 65                                                                                                                                                                                                                                                                                                              <div class='modal-body'>
## 66                                                                                                                                                                                                                                                                    <div class='alert' id='login_message' style='display: none'></div>
## 67  <form action=/auth/login accept-charset=UTF-8 method=post><input name=utf8 type=hidden value=&#x2713; autocomplete=off /><input type=hidden name=authenticity_token value=6MBK82kR4XJB1kpinh46eE0L_fiHKUihyv1IPVURT39r5PzOAjhSzyMza3em1kJweUYZVKB_aRWk7Imc8E2mBw autocomplete=off /><input name='return_url' type='hidden' value=''>
## 68                                                                                                                                                                                                                                                                                                                <div class='fieldset'>
## 69                                                                                                                                                                                                                                                                                                           <div class='control-group'>
## 70                                                                                                                                                                                                                                                           <label class='control-label' for='login_username'>Username or Email</label>
## 71                                                                                                                                                                                                                                                                                                                <div class='controls'>
## 72                                                                                                                                                                                                                                                          <input class='input-xlarge' id='login_username' name='username' type='text'>
## 73                                                                                                                                                                                                                                                                                                                                </div>
## 74                                                                                                                                                                                                                                                                                                                                </div>
## 75                                                                                                                                                                                                                                                                                                           <div class='control-group'>
## 76                                                                                                                                                                                                                                                                    <label class='control-label' for='login_password'>Password</label>
## 77                                                                                                                                                                                                                                                                                                                <div class='controls'>
## 78                                                                                                                                                                                                                                                      <input class='input-xlarge' id='login_password' name='password' type='password'>
## 79                                                                                                                                                                                                                                                                                                                                </div>
## 80                                                                                                                                                                                                                                                                                                                                </div>
## 81                                                                                                                                                                                                                                                                                                           <div class='control-group'>
## 82                                                                                                                                                                                                                                                                <a href='/auth/passwordhelp' target='_blank'>Forgot your password?</a>
## 83                                                                                                                                                                                                                                                                                                                                </div>
## 84                                                                                                                                                                                                                                                                                                                                </div>
## 85                                                                                                                                                                                                                                                                                                                               </form>
## 86                                                                                                                                                                                                                                                                                                                                </div>
## 87                                                                                                                                                                                                                                                                                                            <div class='modal-footer'>
## 88                                                                                                                                                                                                                                                              <button class='btn btn-primary' id='login-modal-submit'>Sign In</button>
## 89                                                                                                                                                                                                                                                                           <button class='btn' id='login-modal-cancel'>Cancel</button>
## 90                                                                                                                                                                                                                                                                                                                                </div>
## 91                                                                                                                                                                                                                                                                                                                                </div>
## 92                                                                                                                                                                                                                                                                                            <div class='navbar-inner' id='pageheader'>
## 93                                                                                                                                                                                                                                                                                                                   <div id='branding'>
## 94                                                                                                                                                                                                                                                                                                                        <h1 id='logo'>
## 95                                                                                                                                                                                                                                                                                                 <a href='/'><span id='R'>R</span>Pubs
## 96                                                                                                                                                                                                                                                                                                                                  </a>
## 97                                                                                                                                                                                                                                                                                                                                 </h1>
## 98                                                                                                                                                                                                                                                                                                  <span id='tagline'>by RStudio</span>
## 99                                                                                                                                                                                                                                                                                                                                </div>
## 100                                                                                                                                                                                                                                                                                                                  <div id='identity'>
## 101                                                                                                                                                                                                                                                                                                              <div class='btn-group'>
## 102                                                                                                                                                                                                                                  <a class='btn btn-inverse btn-small pull-right' href='#' onclick='rpubs_showLogin(); return false'>
## 103                                                                                                                                                                                                                                                                                                                              Sign in
## 104                                                                                                                                                                                                                                                                                                                                 </a>
## 105                                                                                                                                                                                                                                                                   <a class='btn btn-inverse btn-small pull-right' href='/users/new'>
## 106                                                                                                                                                                                                                                                                                                                             Register
## 107                                                                                                                                                                                                                                                                                                                                 </a>
## 108                                                                                                                                                                                                                                                                                                                               </div>
## 109                                                                                                                                                                                                                                                                                                                               </div>
## 110                                                                                                                                                                                                                                                                                                                               </div>
## 111                                                                                                                                                                                                                                                                                                                  <div id='pagebody'>
## 112                                                                                                                                                                                                                                                                                                                   <div id='payload'>
## 113                                                                                                                                                                                                      <iframe allow='fullscreen' src='//rstudio-pubs-static.s3.amazonaws.com/1350838_44c7e92c118e47c490e7f698ca672d60.html'></iframe>
## 114                                                                                                                                                                                                                                                                                 <button class='btn btn-tiny' id='btn-show-toolbars'>
## 115                                                                                                                                                                                                                                                                                                    <i class='icon-resize-small'></i>
## 116                                                                                                                                                                                                                                                                                                                            </button>
## 117                                                                                                                                                                                                                                                                                                                               </div>
## 118                                                                                                                                                                                                                                                                             <div class='navbar navbar-fixed-bottom' id='pagefooter'>
## 119                                                                                                                                                                                                                                                                                                           <div class='navbar-inner'>
## 120                                                                                                                                                                                                                                                                                                        <div class='container-fluid'>
## 121                                                                                                                                                                                                                                                                                                        <ul class='nav' id='pubmeta'>
## 122                                                                                                                                                                                                                                                                                                                   <li id='pubtitle'>
## 123                                                                                                                                                                                                                                                                                                        <label>dates formats </label>
## 124                                                                                                                                                                                                                                                                                                                                </li>
## 125                                                                                                                                                                                                                                                                                                                  <li id='pubauthor'>
## 126                                                                                                                                                                                                                                                                                      <a href=https://rpubs.com/Mr_Isaac>by ISAAC</a>
## 127                                                                                                                                                                                                                                                                                                                                </li>
## 128                                                                                                                                                                                                                                                                                                                    <li id='pubtime'>
## 129                                                                                                                                                                                                                                                                                                                              <label>
## 130                                                                                                                                                                                                                                                                                                                         Last updated
## 131                                                                                                                                                                                                                                                                         <time datetime='2025-10-02T09:23:38+00:00'>6 days ago</time>
## 132                                                                                                                                                                                                                                                                                                                             </label>
## 133                                                                                                                                                                                                                                                                                                                                </li>
## 134                                                                                                                                                                                                                                                                                                                                </ul>
## 135                                                                                                                                                                                                                                                                                                          <ul class='nav pull-right'>
## 136                                                                                                                                                                                                                                                                                                                                 <li>
## 137                                                                                                                                                                                                                                                                         <button class='btn btn-small btn-success' id='btn-comments'>
## 138                                                                                                                                                                                                                                                                                              <i class='icon-comment icon-white'></i>
## 139                                                                                                                                                                                                                                                                                                        <span id='comment-verb-hide'>
## 140                                                                                                                                                                                                                                                                                                                                 Hide
## 141                                                                                                                                                                                                                                                                                                                              </span>
## 142                                                                                                                                                                                                                                                                                                                             Comments
## 143                                                                                                                                                                                                                                                                                                            <span id='comment-count'>
## 144                                                                                                                                                                                                                                                                                                                            (&ndash;)
## 145                                                                                                                                                                                                                                                                                                                              </span>
## 146                                                                                                                                                                                                                                                                                                                            </button>
## 147                                                                                                                                                                                                                                                                               <button class='btn btn-small btn-info' id='btn-share'>
## 148                                                                                                                                                                                                                                                                                                <i class='icon-share icon-white'></i>
## 149                                                                                                                                                                                                                                                                                                                                Share
## 150                                                                                                                                                                                                                                                                                                                            </button>
## 151                                                                                                                                                                                                                                                                    <button class='btn btn-small btn-inverse' id='btn-hide-toolbars'>
## 152                                                                                                                                                                                                                                                                                                                        Hide Toolbars
## 153                                                                                                                                                                                                                                                                                                                            </button>
## 154                                                                                                                                                                                                                                                                                                                                </li>
## 155                                                                                                                                                                                                                                                                                                                                </ul>
## 156                                                                                                                                                                                                                                                                                                                               </div>
## 157                                                                                                                                                                                                                                                                                                                               </div>
## 158                                                                                                                                                                                                                                                                                                                               </div>
## 159                                                                                                                                                                                                                                                                                            <div class='modal hide' id='modal-share'>
## 160                                                                                                                                                                                                                                                                                                             <div class='modal-body'>
## 161                                                                                                                                                                                                                                                                        <btn class='close' data-dismiss='modal' type='button'>×</btn>
## 162                                                                                                                                                                                                                                                                                                      <h2 class='first'>Post on:</h2>
## 163                                                                                                                                                                                                                                                                                                                                  <p>
## 164                                                      <a class='btn btn-primary btn-large' href='https://twitter.com/intent/tweet?original_referer=http%3A%2F%2Frpubs.com%2FMr_Isaac%2F1350838&amp;source=tweetbutton&amp;text=dates%20formats%20&amp;url=http%3A%2F%2Frpubs.com%2FMr_Isaac%2F1350838' onclick='window.open(this.href
## 165                                                                                                                                                                                                                                                                                                                           &#39;&#39;
## 166                                                                                                                                                                                                                                                                                                                      &#39;menubar=no
## 167                                                                                                                                                                                                                                                                                                                           toolbar=no
## 168                                                                                                                                                                                                                                                                                                                        resizable=yes
## 169                                                                                                                                                                                                                                                                                                                       scrollbars=yes
## 170                                                                                                                                                                                                                                                                                                                           height=275
## 171                                                                                                                                                                                                                                                                                                      width=660&#39;);return false;'>
## 172                                                                                                                                                                                                                                                                                                                              Twitter
## 173                                                                                                                                                                                                                                                                                                                                 </a>
## 174                                                                                                                                                <a class='btn btn-primary btn-large' href='https://www.facebook.com/sharer.php?u=http%3A%2F%2Frpubs.com%2FMr_Isaac%2F1350838&amp;t=dates%20formats%20' onclick='window.open(this.href
## 175                                                                                                                                                                                                                                                                                                                           &#39;&#39;
## 176                                                                                                                                                                                                                                                                                                                      &#39;menubar=no
## 177                                                                                                                                                                                                                                                                                                                           toolbar=no
## 178                                                                                                                                                                                                                                                                                                                        resizable=yes
## 179                                                                                                                                                                                                                                                                                                                       scrollbars=yes
## 180                                                                                                                                                                                                                                                                                                                           height=350
## 181                                                                                                                                                                                                                                                                                                      width=660&#39;);return false;'>
## 182                                                                                                                                                                                                                                                                                                                             Facebook
## 183                                                                                                                                                                                                                                                                                                                                 </a>
## 184                                                                                                                                                                             <a class='btn btn-primary btn-large' href='https://plus.google.com/share?url=http%3A%2F%2Frpubs.com%2FMr_Isaac%2F1350838' onclick='window.open(this.href
## 185                                                                                                                                                                                                                                                                                                                           &#39;&#39;
## 186                                                                                                                                                                                                                                                                                                                      &#39;menubar=no
## 187                                                                                                                                                                                                                                                                                                                           toolbar=no
## 188                                                                                                                                                                                                                                                                                                                        resizable=yes
## 189                                                                                                                                                                                                                                                                                                                       scrollbars=yes
## 190                                                                                                                                                                                                                                                                                                                           height=600
## 191                                                                                                                                                                                                                                                                                                      width=600&#39;);return false;'>
## 192                                                                                                                                                                                                                                                                                                                              Google+
## 193                                                                                                                                                                                                                                                                                                                                 </a>
## 194                                                                                                                                                                                                                                                                                                                                 </p>
## 195                                                                                                                                                                                                                                                                                                                                 <hr>
## 196                                                                                                                                                                                                                                                                          <h3>Or copy &amp; paste this link into an email or IM:</h3>
## 197                                                                                                                                                                                                                                        <input onclick='this.select()' readonly='readonly' value='http://rpubs.com/Mr_Isaac/1350838'>
## 198                                                                                                                                                                                                                                                                                                                               </div>
## 199                                                                                                                                                                                                                                                                                                                               </div>
## 200                                                                                                                                                                                                                                                                                                                             <script>
## 201                                                                                                                                                                                                                                                                                                    $('#btn-edit').click(function() {
## 202                                                                                                                                                                                                                                                                                              location.href = /Mr_Isaac/1350838/edit;
## 203                                                                                                                                                                                                                                                                                                                                  });
## 204                                                                                                                                                                                                                                                                                              $('#btn-delete').mouseover(function() {
## 205                                                                                                                                                                                                                                                                  $('#btn-delete').removeClass('btn-inverse').addClass('btn-danger');
## 206                                                                                                                                                                                                                                                                                                                                  });
## 207                                                                                                                                                                                                                                                                                               $('#btn-delete').mouseout(function() {
## 208                                                                                                                                                                                                                                                                  $('#btn-delete').addClass('btn-inverse').removeClass('btn-danger');
## 209                                                                                                                                                                                                                                                                                                                                  });
## 210                                                                                                                                                                                                                                                                                           $('#btn-hide-toolbars').click(function() {
## 211                                                                                                                                                                                                                                                                                          $(document.body).addClass('hide-toolbars');
## 212                                                                                                                                                                                                                                                                                       $(document.body).removeClass('show-toolbars');
## 213                                                                                                                                                                                                                                                                                                                                  });
## 214                                                                                                                                                                                                                                                                                           $('#btn-show-toolbars').click(function() {
## 215                                                                                                                                                                                                                                                                                          $(document.body).addClass('show-toolbars');
## 216                                                                                                                                                                                                                                                                                       $(document.body).removeClass('hide-toolbars');
## 217                                                                                                                                                                                                                                                                                                                                  });
## 218                                                                                                                                                                                                                                                                                                   $('#btn-share').click(function() {
## 219                                                                                                                                                                                                                                                                                                      $('#modal-share').modal().css({
## 220                                                                                                                                                                                                                                                                                                         'margin-left': function () {
## 221                                                                                                                                                                                                                                                                                                       return -($(this).width() / 2);
## 222                                                                                                                                                                                                                                                                                                                                    }
## 223                                                                                                                                                                                                                                                                                                                                  });
## 224                                                                                                                                                                                                                                                                                                                                  });
## 225                                                                                                                                                                                                                                                                                                $('#btn-comments').click(function() {
## 226                                                                                                                                                                                                                                                                                       $(document.body).toggleClass('show-comments');
## 227                                                                                                                                                                                                                                                                                                                                  });
## 228                                                                                                                                                                                                                                                                                                             setInterval(function() {
## 229                                                                                                                                                                                                                                                                                                     // Poll for comment count. Barf.
## 230                                                                                                                                                                                                                                                                                               var text = $('#dsq-num-posts').text();
## 231                                                                                                                                                                                                                                                                                                     if (text && /^\\d+$/.test(text))
## 232                                                                                                                                                                                                                                                                                          $('#comment-count').text('(' + text + ')');
## 233                                                                                                                                                                                                                                                                                                                                    }
## 234                                                                                                                                                                                                                                                                                                                               1000);
## 235                                                                                                                                                                                                                                                                                                                            </script>
## 236                                                                                                                                                                                                                                                                                                           <div id='comment-wrapper'>
## 237                                                                                                                                                                                                                                                                                                             <div id='disqus_thread'>
## 238                                                                                                                                                                                                                                                                                                                             <script>
## 239                                                                                                                                                                                                                                                                                                    var disqus_config = function () {
## 240                                                                                                                                                                                                                                                                       // The generated payload which authenticates users with Disqus
## 241                                                                                                                                                                                                                                               this.page.remote_auth_s3 = 'e30= 786d434d41be0d096e37644cf39dafc0e8188c5c 1759923612';
## 242                                                                                                                                                                                                                    this.page.author_s3 = 'eyJ1c2VybmFtZSI6InJwdWJzLTU0OTM1NyJ9 2ed710360f88e67044654e9d21b5dc994e326839 1759923612';
## 243                                                                                                                                                                                                                                              this.page.api_key = '7NhtlDm2Hf3z44e8I6PRkOLIwe9o1U0rVepc4PMzqwnADLCB3JhMdX7ZUPbnl85p';
## 244                                                                                                                                                                                                                                                                                                                                   };
## 245                                                                                                                                                                                                                                                                                                                            </script>
## 246                                                                                                                                                                                                                                                                                                                             <script>
## 247                                                                                                                                                                                                                                               var disqus_shortname = 'rpubs'; // required: replace example with your forum shortname
## 248                                                                                                                                                                                                                                                                                               var disqus_identifier = 'pub-1350838';
## 249                                                                                                                                                                                                                                                                                                            var disqus_developer = 1;
## 250                                                                                                                                                                                                                                                                                                                                     
## 251                                                                                                                                                                                                                                                                                             /* * * DON'T EDIT BELOW THIS LINE * * */
## 252                                                                                                                                                                                                                                                                                                                        (function() {
## 253                                                                                                                                                                                                                                          var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;
## 254                                                                                                                                                                                                                                                                          dsq.src = '//' + disqus_shortname + '.disqus.com/embed.js';
## 255                                                                                                                                                                                                                             (document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);
## 256                                                                                                                                                                                                                                                                                                                                })();
## 257                                                                                                                                                                                                                                                                                                                            </script>
## 258                                                                                                                                                                                                                                                                                                                               </div>
## 259                                                                                                                                                                                                                                                                                                                               </div>
## 260                                                                                                                                                                                                                                                                                                                               </div>
## 261                                                                                                                                                                                                                                                                                                                              </body>
## 262                                                                                                                                                                                                                                                                                                                              </html>
library(Quandl)
# NGC <-Quandl(code = "FRED/NATURALGAS",
#             collapse="quarterly",
#             type = "ts",
#             end_date = "2018-12-31")
# NGC
# class(NGC)
# plot.ts(NGC,
#        main = "US Quarterly Natural # Gas Consumption",
#        ylab = "Billion of Cubic Feet")