A researcher wants to test the first$-$order serial correlation in the error term $($ut $)$ of the following linear regression:

yt$=\backslash$beta $1+\backslash$beta $2$x $2$t$+\backslash$beta $3$ x$3$t$+$ut $.$

This researcher finds that the estimated first$-$order correlation coefficient is $-0\mathrm{.}05.$ Please use the test that we learned in our class to help the researcher test how the error term is serially correlated. What is your conclusion? $($The relevant critical values for the test are d $=1\mathrm{.}05$ and d $=1\mathrm{.}8.)$