weightProjections<-function(actual_employment,projections,growth_rate){
growth_rate_sequence<-numeric()
growth_rate_sequence[1]<-mean(tail(actual_employment,12))+(mean(tail(actual_employment,12))*growth_rate)
j=2
while(j<=120){
growth_rate_sequence[j]<-growth_rate_sequence[j-1]+growth_rate_sequence[j-1]*growth_rate
j=j+1
}
theWeightingSeq<-seq(0,1,length.out=length(projections))
theWeightingSeq<-(2^theWeightingSeq*exp(theWeightingSeq))
theWeightingSeq<-(theWeightingSeq-min(theWeightingSeq))/(max(theWeightingSeq)-min(theWeightingSeq))
weighted_predictions<-(projections*(1-theWeightingSeq)+(growth_rate_sequence*theWeightingSeq))
round(weighted_predictions)
}
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