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%%% $Id: Bennett5.Rd,v 1.4 2003/07/22 19:42:20 bates Exp $
\name{Bennett5}
\alias{Bennett5}
\non_function{}
\title{Magentization modelling}
\description{
  The \code{Bennett5} data frame has 154 rows and 2 columns of data from a
  magnetism study
}
\format{
  This data frame contains the following columns:
  \describe{
    \item{y}{
      A numeric vector of magnetism values.
    }
    \item{x}{
      A numeric vector of log(time).
    }
  }
}
\details{
  These data are the result of a NIST study involving superconductivity
  magnetization modeling.  The response variable is magnetism, and the
  predictor variable is the log of time in minutes.
}
\source{
  Bennett, L., L. Swartzendruber, and H. Brown, 
  NIST (1994).  
  Superconductivity Magnetization Modeling.
}
\examples{
Try <- function(expr) if (!inherits(val <- try(expr), "try-error")) val
plot(y ~ x, data = Bennett5)
Try(fm1 <- nls(y ~ b1*(b2+x)**(-1/b3), data = Bennett5,
           start = c(b1 = -2000, b2 = 50, b3 = 0.8), trace = TRUE))
Try(fm1a <- nls(y ~ b1*(b2+x)**(-1/b3), data = Bennett5,
            start = c(b1 = -2000, b2 = 50, b3 = 0.8),
            trace = TRUE, alg = "port"))
Try(fm2 <- nls(y ~ b1*(b2+x)**(-1/b3), data = Bennett5,
           start = c(b1 = -1500, b2 = 45, b3 = 0.85), trace = TRUE))
Try(fm2a <- nls(y ~ b1*(b2+x)**(-1/b3), data = Bennett5,
            start = c(b1 = -1500, b2 = 45, b3 = 0.85),
            trace = TRUE, alg = "port"))
Try(fm3 <- nls(y ~ (b2+x)**(-1/b3), data = Bennett5, alg = "plinear",
           start = c( b2 = 50, b3 = 0.8), trace = TRUE))
Try(fm4 <- nls(y ~ (b2+x)**(-1/b3), data = Bennett5, alg = "plinear",
           start = c( b2 = 45, b3 = 0.8), trace = TRUE))
}
\keyword{datasets}