# faithful

## Old Faithful Geyser Data

Waiting time between eruptions and the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA.

### Usage

faithful

### Format

A data frame with 272 observations on 2 variables.

[,1] | eruptions | numeric | Eruption time in mins |

[,2] | waiting | numeric | Waiting time to next eruption (in mins) |

### Details

A closer look at `faithful$eruptions`

reveals that these are heavily rounded times originally in seconds, where multiples of 5 are more frequent than expected under non-human measurement. For a better version of the eruption times, see the example below.

There are many versions of this dataset around: Azzalini and Bowman (1990) use a more complete version.

### Source

W. Härdle.

### References

Härdle, W. (1991) *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. *Applied Statistics* **39**, 357–365.

### See Also

`geyser`

in package MASS for the Azzalini–Bowman version.

### Examples

require(stats); require(graphics) f.tit <-"faithful data: Eruptions of Old Faithful" ne60 <- round(e60 <- 60 * faithful$eruptions) all.equal(e60, ne60) # relative diff. ~ 1/10000 table(zapsmall(abs(e60 - ne60))) # 0, 0.02 or 0.04 faithful$better.eruptions <- ne60 / 60 te <- 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")