Raw File
Bosco.Rd
\name{Bosco}
\alias{Bosco}
\title{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
  \describe{
    \item{x}{sine squared of latitude measured in degrees}
    \item{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)
        }
}
\keyword{datasets}
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