I am performing a linear regression in which an Independent Variable is a factor/categorical variable having multiple level.For Example consider StateCode of US.It will have 50 levels.

Now in the Coefficient table output I will have 50 rows each representing as a separate variable, which means 50 coefficients to interpret. and if I have 10 such Cat Variables. It complicates further(50*10=500)

Any thoughts,whats the best way to deal with such scenario or Am i missing something very fundamental.