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Answer :
The deterrent effect of prison is expected to be strongest when there is a higher percentage change in the rate of imprisonment (y) compared to the percentage change in the rate of violent crime (X).
According to the theory of deterrence, the threat of punishment can deter individuals from committing crimes.
In the context of violent crimes, if the rate of imprisonment increases significantly (higher y), potential offenders may be more deterred due to the increased likelihood of being caught and incarcerated.
Conversely, if the rate of imprisonment does not increase much or decreases while the rate of violent crime increases (low y and high X), the deterrent effect of prison would be weaker.
Thus, the strongest deterrent effect is expected when the rate of imprisonment increases more than the rate of violent crime, indicating a higher perceived risk of punishment for potential offenders.
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