On this R-data statistics page, you will find information about the engel data set which pertains to Engel Data. The engel data set is found in the quantreg R package. You can load the engel data set in R by issuing the following command at the console data("engel"). This will load the data into a variable called engel. If R says the engel data set is not found, you can try installing the package by issuing this command install.packages("quantreg") and then attempt to reload the data. If you need to download R, you can go to the R project website. You can download a CSV (comma separated values) version of the engel R data set. The size of this file is about 7,941 bytes.

Engel Data

Description

Engel food expenditure data used in Koenker and Bassett(1982). This is a regression data set consisting of 235 observations on income and expenditure on food for Belgian working class households.

Usage

data(engel)

Format

A data frame containing 235 observations on 2 variables

income

annual household income in Belgian francs

foodexp

annual household food expenditure in Belgian francs

References

Koenker, R. and Bassett, G (1982) Robust Tests of Heteroscedasticity based on Regression Quantiles; Econometrica 50, 43–61.

Examples

## See also    demo("engel1")
##             --------------data(engel)
plot(engel, log = "xy",
     main = "'engel' data  (log - log scale)")
plot(log10(foodexp) ~ log10(income), data = engel,
     main = "'engel' data  (log10 - transformed)")
taus <- c(.15, .25, .50, .75, .95, .99)
rqs <- as.list(taus)
for(i in seq(along = taus)) {
  rqs[[i]] <- rq(log10(foodexp) ~ log10(income), tau = taus[i], data = engel)
  lines(log10(engel$income), fitted(rqs[[i]]), col = i+1)
}
legend("bottomright", paste("tau = ", taus), inset = .04,
       col = 2:(length(taus)+1), lty=1)

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Dataset imported from https://www.r-project.org.