CSC$/$DA $423/523$ HW$6$ Flights.csv contains informa$>$on on commercial flights depar$>$ng the Washington, DC area and arriving at New York during January $2004.$ For each flight, there is informa$>$on on the departure and arrival airports, the distance of the route, the scheduled $>$me and date of the flight, etc. The variable that we are trying to predict is whether a flight is delayed. A delay is defined as an arrival that is at least $15$ minutes later than scheduled. $1.$ Data Preprocessing. Transform variable day of week $($DAY$\_$WEEK$)$ info a categorical variable. Bin the scheduled departure $>$me $($CRS$\_$DEP$\_$TIME$)$ into eight bins. Use these and other columns$($excluding DAY$\_$OF$\_$MONTH$)$ which can be used for predic$>$ng the outcome. Par$>>$on the data into training $(60\%)$ and valida$>$on $(40\%)$ sets. $2.$ Fit a classifica$>$on tree to the flight delay variable using all the relevant predictors. Do not include DEP$\_$TIME $($actual departure $>$me$)$ in the model because it is unknown at the $>$me of predic$>$on$.$ Use a tree with maximum depth $8$ and minimum impurity decrease $=0\mathrm{.}01.$ Display the resul$>$ng tree. $3.$ If you needed to fly between DCA and EWR on a Monday at $7$:$00$ AM$,$ would you be able to use this tree? What other informa$>$on would you need? Is it available in prac$>$ce$?4.$ Fit the same tree as in $($a$),$ this $>$me excluding the Weather predictor. Display both the resul$>$ng $($small$)$ tree and the full$-$grown tree. You will find that the small tree contains a single terminal node. $5.$ How is the small tree used for classifica$>$on $($what is the rule for classifying$)?$ To what is this rule equivalent? $6.$ Examine the full$-$grown tree. What are the top three predictors according to this tree? Why, technically, does the small tree result in a single node? $7.$ What is the disadvantage of using the top levels of the full$-$grown tree as opposed to the small tree? Submit your notebook MyLastName.ipynb with your comments and answers included $($in markdown$).$