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

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

The following data shows waiting time between eruptions and the duration of the eruption for the Old Faithful geyser in Yellowstone National Park, Wyoming, USA.

 

data(faithful)

View(faithful)

head(faithful)

## eruptions waiting

## 1 3.600 79

## 2 1.800 54

## 3 3.333 74

## 4 2.283 62

## 5 4.533 85

## 6 2.883 55

head(faithful,8)

## ## eruptions 1 3.600 waiting

79

## 2 1.800 54

## 3 3.333 74

## 4 2.283 62

## 5 4.533 85

## 6 2.883 55

## 7 4.700 88

## 8 3.600 85

## [1] "Number of columns of the matrix: "

## [1] 2

## [1] "Number of columns of the matrix: "

## [1] 272

IQR(faithful$waiting)

## [1] 24

## [1] 70.89706

 

## [1] 76

## [1] 13.59497

 

 quantile(faithful$waiting)

## 0% 25% 50% 75% 100%

## 43 58 76 82 96

 quantile(faithful$waiting,c(0.1,0.3))

## 10% 30%

## 51 60

 cor(faithful$eruptions,faithful$waiting)

## [1] 0.9008112

Modes <- function(x) { ux <- unique(x)

tab <- tabulate(match(x, ux)) ux[tab == max(tab)]

}

Modes(faithful$waiting)

## [1] 78

boxplot(faithful$waiting, main="time between eruptions", col="red")

 

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