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\name{faithful}\alias{faithful}\title{Old Faithful Geyser Data}\usage{data(faithful)}\format{A data frame with 272 observations on 2 variables.\tabular{rlll}{[,1] \tab eruptions \tab numeric \tab Eruption time in mins \cr[,2] \tab waiting \tab numeric \tab Waiting time to nexteruption \cr}}\source{W. Härdle.}\description{The `faithful' data frame has 272 rows and 2 columns; the waitingtime between eruptions and the duration of the eruption for the OldFaithful geyser in Yellowstone National Park, Wyoming, USA.}\references{Härdle, W. (1991)\emph{Smoothing Techniques with Implementation in S}.New York: Springer.Azzalini, A. and Bowman, A. W. (1990).A look at some data on the Old Faithful geyser.\emph{Applied Statistics} \bold{39}, 357--365.}\details{A closer look at \code{faithful$eruptions} reveals that these areheavily rounded times originally in seconds, where multiples of 5 aremore frequent than expected under non-human measurement. For a``better'' version of the eruptions times, see the example below.There are many versions of this dataset around: Azzalini and Bowman(1990) use a more complete version.}\seealso{\code{geyser} in package \code{MASS} for the Azzalini-Bowman version.}\examples{data(faithful)f.tit <- "faithful data: Eruptions of Old Faithful"ne60 <- round(e60 <- 60 * faithful$eruptions)all.equal(e60, ne60) # relative diff. ~ 1/10000table(zapsmall(abs(e60 - ne60))) # 0, 0.02 or 0.04faithful$better.eruptions <- ne60 / 60te <- table(ne60)te[te >= 4] # (too) many multiples of 5 !plot(names(te), te, type="h", main = f.tit, xlab = "Eruption time (sec)")plot(faithful[, -3], main = f.tit,xlab = "Eruption time (min)",ylab = "Waiting time to next eruption (min)")lines(lowess(faithful$eruptions, faithful$waiting, f = 2/3, iter = 3),col = "red")}\keyword{datasets}