# Figures to illustrate the difference between forecasting in Trend
# Stationary and Unit Root Models for Lecture 9 of 508
u <- rnorm(120)
s <- 1:120
y <- .3*s+5*filter(u,c(.95,-.1),"recursive",init=rnorm(2))
fit0 <- arima0(y,order=c(2,0,0),xreg=s)
fit1 <- arima0(y,order=c(2,1,0),xreg=s,include.mean=T)
fore0 <- predict(fit0,n.ahead=44,newxreg=121:164)
fore1 <- predict(fit1,n.ahead=44,newxreg=121:164)
pdf("fig1R.pdf",width=6.0,height=4)
par(mfrow=c(1,2))
ts.plot(y,fore0$pred,fore0$pred+2*fore0$se, fore0$pred-2*fore0$se,
gpars=list(lty=c( 1,2,3,3)))
abline(fit0$coef[3:4],lty=2)
ts.plot(y,fore1$pred,fore1$pred+2*fore1$se, fore1$pred-2*fore1$se,
gpars=list(lty=c( 1,2,3,3)))
abline(c(0,fit1$coef[3]),lty=2)
dev.off()

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