I have a dependent variable (Y) say choices of different modes (car, bus, train, car share), a categorical variable and several independent variables (age: categorized into three different groups 18-25, 26-40 and 40-60 & education level, gender), all categorical variables. Is it possible to form a multinomial logistic regression model to establish relation between the dependent and the independent variables?

I also have perception of safety, security of the respondents (in 1 to 5 scale) about using different modes. What different tests can I conduct?

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