Suppose the following table was generated from the sample data of $20$ campuses relating the total number of crimes committed to the number of police officers on campus and if the college or university is public.

Coefficients Standard Error t Stat P$-$Value

Intercept $580\mathrm{.}94296820\mathrm{.}62950328\mathrm{.}1607840\mathrm{.}000000$

Number of Officers $7\mathrm{.}4264220\mathrm{.}72790410\mathrm{.}2024750\mathrm{.}000000$

Public $(1$ if public, $0$ otherwise$)67\mathrm{.}9022967\mathrm{.}4726389\mathrm{.}0867910\mathrm{.}000000$

Step $2$ of $2$ : In this regression equation, what is the intercept value for colleges or universities that are public? Enter your answer in the space provided. Do not round your answer.