# R Code: Creating Lagged Xs and Y for Supervised Learning

This post shows a simple R code to create various lagged time series and concatenate them with the original time series. This can be used frequently when preprocessing time series data for machine/deep learning models.

## Creating lagged Xs and y

Time series and its various lagged one are used as input variables for supervised machine or deep learning models. The following R code generates this concatenation of a set of lagged and time-t variables of the time series.

As an output format, Xs (lagged variables) are followed by y since it is relatively easy to access X by using “1:nk” rather than “2:(nk+1)”.

``````#========================================================#
# Quantitative ALM, Financial Econometrics & Derivatives
# ML/DL using R, Python, Tensorflow by Sang-Heon Lee
#
# https://kiandlee.blogspot.com
#--------------------------------------------------------#
# Create lagged Xs and y for supervised learning
#========================================================#

graphics.off(); rm(list = ls())

#===============================================
# function for creating lagged Xs and y
#===============================================

func_lagged_Xs_y <- function(y, k, nmx = "x"){

nk <- length(k); ny <- length(y)
df <- as.data.frame(matrix(nrow=ny, ncol=nk))
colnames(df) <- paste0(nmx,k); df\$y = y

for(i in 1:nk)
df[(1+k[i]):ny,i] <- y[1:(ny-k[i])]

return(df[(max(k)+1):ny,])
}

#-----------------------
# sample data
#-----------------------
y <- c(31.12, 27.95, 30.67, 27.18, 21.89, 19.90, 21.58,
18.69, 20.31, 21.89, 19.29, 20.57, 21.57, 22.87,
21.01, 18.63, 17.96, 17.68, 17.54, 16.95, 17.33)

#-----------------------
# test cases
#-----------------------
Xy1 = func_lagged_Xs_y(y, k=1:10)
Xy1

Xy2 = func_lagged_Xs_y(y, k=c(1,3,5), nmx = "XX")
Xy2``````

As expected, the results of two examples in the above R code are as follows.

Visit SH Fintech Modeling for additional insight on this topic: https://kiandlee.blogspot.com/2022/10/r-code-creating-lagged-xs-and-y-for.html

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