#' @title Predict Percentage Change
#' @description Predicts the percentage change of school bills at \code{year} based on an exponential model
#' @param year Sets the year of bills to predict
#' @return The percentage change of school bills at \code{year}
#' @usage predictpc(year)
#' @export
predictpc <- function(year){
# Reads the data
bills <- list("2000"=readbills(2000), "2001"=readbills(2001),
"2002"=readbills(2002), "2003"=readbills(2003),
"2004"=readbills(2004), "2005"=readbills(2005),
"2006"=readbills(2006), "2007"=readbills(2007),
"2008"=readbills(2008), "2009"=readbills(2009),
"2010"=readbills(2010), "2011"=readbills(2011),
"2012"=readbills(2012), "2013"=readbills(2013),
"2014"=readbills(2014), "2015"=readbills(2015),
"2016"=readbills(2016))
# x variable for the model
years = 2003:2016
# y variable for the model
pctinc <- vector( mode = "double", length = 16 )
absinc <- vector( mode = "double", length = 16 )
for( i in 1:16 ){
absinc[i] <- bills[[i+1]][[5]] - bills[[i]][[5]]
pctinc[i] <- absinc[i] / bills[[i]][[5]] * 100
}
# Calculates the model
fit = lm(log(pctinc[3:16])~years)
# Returns the predicted percentage increase of school bills
exp(fit[[1]][[2]]*year+fit[[1]][[1]])
}
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