I know this question is super old, but if someone wants the value of the confidence interval to mean, it's just the value of the confidence level z divided by the sqrt of the number of observations used. In the plot.acf function plot.acf this is calculated here:
clim0 <- if (with.ci) qnorm((1 + ci)/2)/sqrt(x$n.used)
where with.ci is a logical value indicating whether the user wants to build confidence intervals or not, and ci is the desired level of confidence (for example, .95, .9, etc.)
EDIT: this is a confidence interval, if you think that the delayed values ββare white noise, if it is not, there is a correction that you can apply
clim <- clim0 * sqrt(cumsum(c(1, 2 * x$acf[-1, i, j]^2)))
You can read more about it here.
source share