I have independent variables of age , sex and length of membership

I have then have a question where I ask participants to rank 5 statements in order of importance . with 5 being the most important and 1 being the least important .

Is regression a valid tool to analyse the relationship between these the independent variables and ranking

e.g did the older members choose statement 1 as the most important

did younger members choose statement 1 as the most important

I,e to asses the relationship between the independent variables and the choice in terms of ranking