Difference between project Y and Project Y metric.

Project Y is the output ( of a process ) that one wants to improve while project Y metric is the metric for the out put Y that you need to improve so that the output improves.

Eg-

In transport services which many ITES companies offer their employees- when a person/employee scheduled for a pick up turns down scheduled pick up (inspite of being rostered) its called as a no show.

Now no show in this case is one of the outcomes of "Pick up" process. ( the other one would be employee boarding the cab)

whilst- average daily no show % ,  average shiftwise no show %, daily no shows etc could be possible metrics that one can look at to baseline performance of "Pick up process", and should target to improve the metrics ( i.e to reduce the no shows)which would ultimately improve the process outcome i.e no shows which is Y of a pick up process.

Hope this clarifies.

Regards