The model with two way interaction terms for a multinomial logistic regression model attached models data from a survey that collected information from N students in their final year of high school, about substance use including variables alcohol (yes or no), cigarettes (yes or no) and marijuana (no/low, medium, high), and sex (male/female).

Using the output from the multinomial logistic regression model with two-way interaction terms, state the final form of the model and interpret all regression coefficients. Be descriptive.

Call : multinom( formula = marijuana ~ alcohol * cigarette, data = drug) Coefficients : (Intercept) alcoholyes cigaretteyes alcoholyes : cigaretteyes High -13 . 516301 11 . 66734 12.944915 - 10.613497 Medium - 3. 118217 2.53716 3. 330371 - 2 . 591661 Std. Errors : (Intercept) alcoholyes cigaretteyes alcoholyes : cigaretteyes High 37 . 7595977 37.7598335 37 . 7598778 37 . 7601965 Medium 0. 2130646 0. 2283571 0. 2433152 0. 2704432 Residual Deviance: 4345.38 AIC: 4361.38