R Dataset / Package quantreg / Bosco

On this R-data statistics page, you will find information about the Bosco data set which pertains to Boscovich Data. The Bosco data set is found in the quantreg R package. You can load the Bosco data set in R by issuing the following command at the console data("Bosco"). This will load the data into a variable called Bosco. If R says the Bosco 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 with the library() command. 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 Bosco R data set. The size of this file is about 91 bytes.

Boscovich Data

Description

Boscovich data used to estimate the ellipticity of the earth. There are five measurements of the arc length of one degree of latitude taken at 5 different latitudes. See Koenker (2005) for further details and references.

Usage

data(Bosco)

Format

A data frame containing 5 observations on 2 variables

x

sine squared of latitude measured in degrees

y

arc length of one degree of latitude measured in toise - 56,700, one toise approximately equals 1.95 meters.

References

Koenker, R. (2005), "Quantile Regression", Cambridge.

Examples

data(Bosco)
plot(0:10/10,0:10*100,xlab="sin^2(latitude)",
ylab="arc-length of 1 degree of latitude",type="n")
points(Bosco)
text(Bosco, pos = 3, rownames(Bosco))
z <- rq(y ~ x, tau = -1, data = Bosco)
title("Boscovitch Ellipticity of the Earth Example")
xb <- c(.85,.9,.6,.6)
yb <- c(400,600,450,600)
for(i in 1:4){
abline(c(z$sol[4:5,i]))
interval <- paste("t=(",format(round(z$sol[1,i],2)),",",
format(round(z$sol[1,i+1],2)),")",delim="")
text(xb[i],yb[i],interval)
}

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

Attachments: csv, json

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