Ted Hsu on Questions Passed as Orders for Returns

With regard to violent incidents related to overcrowding in federal prisons: (a) for each of the ten years from 2003-2004 to 2012-2013, and for each of the nine maximum security Correctional Services Canada (CSC) institutions, namely, Atlantic Institution, Donnacona Institution, Port-Cartier Institution, Quebec Regional Reception Centre and Special Handling Unit, Kingston Penitentiary, Millhaven Institution, Edmonton Institution, Saskatchewan Penitentiary maximum security unit, and Kent Institution, what were the numbers of inmates; (b) for each of the ten years from 2003-2004 to 2012-2013, and for each of the nine maximum security CSC institutions, namely, Atlantic Institution, Donnacona Institution, Port-Cartier Institution, Quebec Regional Reception Centre and Special Handling Unit, Kingston Penitentiary, Millhaven Institution, Edmonton Institution, Saskatchewan Penitentiary maximum security unit, and Kent Institution, what were the rated capacities of each institution; (c) if each of the 90 data points in part (a) is denoted by nij where i=1,10 runs over the ten years and j=1,9 runs over the nine institutions in the order given, and if each of the 90 data points in part (b) is denoted by cij, where i=1,10 runs over the ten years and j=1,9 runs over the nine institutions in the order given, then what are the values of the fractional excess of inmates over the rated capacity of each of the nine institutions, for each of the ten years, namely, fnij = (nij - cij)/cij; (d) for each of the ten years from 2003-2004 to 2012-2013, and for each of the nine maximum security CSC institutions, namely, Atlantic Institution, Donnacona Institution, Port-Cartier Institution, Quebec Regional Reception Centre and Special Handling Unit, Kingston Penitentiary, Millhaven Institution, Edmonton Institution, Saskatchewan Penitentiary maximum security unit, and Kent Institution, what were the numbers of violent incidents; (e) if the 90 data points in part (d) are denoted vij, where i=1,10 runs over the ten years and j=1,9 runs over the nine institutions in the order given, what are the average numbers of violent incidents for each institution, averaged over the ten years, namely, Vavgj =(Si=1,10 vij)/10; (f) what are the values of the fractional excesses of violent incidents for each of the nine institutions, over and above each institution's respective ten year average, for each of the ten years, namely, fvij = (vij - Vavgj)/Vavgj; (g) what is the correlation between the fractional excesses of violent incidents and the fractional excesses of inmates over the rated capacity, for all combinations of years and institutions, for which the inmate population was more than 10% over the rated capacity, namely, the sample correlation coefficient between the set of all fnij such that fnij > 0.1, and the corresponding members of the set of all fvij such that fnij > 0.1; and (h) what is the graph of all the pairs (fnij, fvij) which satisfy fnij > 0.1, plotted with the linear regression line?