5.3. Criminological theory has attempted to explain both the frequency of delinquency and the type of delinquency an individual is likely to commit. A longitudinal study of adolescents tested for the effects of several background characteristics on the likelihood an individual would commit a drug, property, violent, or public order offense. The researchers used a multinomial logistic regression model and found the value of the 2 log-likelihood for the full model to be 5263.1. The values for the 2 log-likelihood for each of the independent variables were reported as: INDEPENDENT VARIABLE 22 LOG-LIKELIHOOD Age 5264.7 Sex 5322.5 Race 5271.1 Grade point average 5267.9 Employment status 5414.6 Parental supervision 5272.3 Number of friends who had been arrested 5459.4 Calculate the LR Test statistic for each independent variable, and state whether this variable has a statistically significant effect on type of crime (assume α ¼ 0.05).q