For a tsibble called $$Test$,$ suppose you wish to build an ARIMA model for a monthly

series, with data running from September $1981$ through April $2023.$ Note, there are $500$

observations $($T$=500).$ The series in question is named $$z$.$ You start with unit root tests

as follows:

Test$\%>\%$features$($z$,$unitroot$\_$ndiffs$)$

# A tibble: $1\backslash$times $1$

ndiffs

$1$

Test$\%>\%$features$($z$,$unitroot$\_$nsdiffs$)$

# A tibble: $1\backslash$times $1$

nsdiffs

$0$

a$.$ The appropriate gg$\_$tsdisplay for this series is obtained with which of the following

commands $($no explanation required$)?(5$ pts$)$

Option #$1$: Test$\%>\%$gg$\_$tsdisplay$($z$,$plot$\_$type$=$partial$)$

Option #$2$: Test$\%>\%$gg$\_$tsdisplay$($difference$($z$),$plot$\_$type$=$partial$)$

Option #$3$: Test$\%>\%$gg$\_$tsdisplay$($difference$($z$,12),$plot$\_$type$=$partial$)$

Option #$4$: Test$\%>\%$gg$\_$tsdisplay$($difference$($difference$($z$,12)),$plot$\_$type$=$partial$)$