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Your precision seems to improve slightly as the recall improves. Typically, the precision will go down as the recall improves. So, yes, there seems to be something suspect. And the precision seems to be very high to begin with while recall is still varying over a good portion albeit with very high value.

The ideal situation will be where precision and recall are both 1.0 and in that case, you will not have a graph like the one where recall varies with constant precision.