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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