In the New York TLC dataset, we have a set of columns that at first glance appear to be highly correlated:
- tpep_pickup_datetime
- tpep_dropoff_datetime
- trip_distance
We would normally expect long-duration taxi trips to cover a large distance and short trips to only cover a small distance. So it’s reasonable to assume that trip duration and trip distance are strongly positively correlated.
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