This will ask you to solve some problems with the nycflights dataset.

a$.$ Plot average speed against distance. What do you conclude?

b$.$ Create a new variable that records whether or not a flight arrived on time. Hint:

define a flight to be $"$on time" if it gets to the destination on time or earlier than

expected, regardless of any departure delays. Then, determine the on$-$time

arrival percentage based on whether the flight departed on time$/$early or not

$($i$.$e$.,$ whether there was a departure delay$).$ What percent of flights that were

"delayed" departing arrive $"$on time"?

c$.$ Building on the question above, determine $($roughly$)$ what the cutoff point is for

departure delays where you can still expect to get to your destination on time.