Product is AutoCAD 2016 for Mac. 

Working with three layers here. Layer 1 must have a continuous linetype, layer 2 center, and layer 3 is hidden. I was easily able to configure my layers to the proper settings (color, line weight/type, ect.) I began by drawing my continuous lines for layer 1; when I tried to draw my center lines for layer 2, they came out as continuous lines (the color and weight were correct though.)

I adjusted the linetype on the properties inspector to Center, and when I did, It changed the linetypes for layers 1 and 3 also to Center. Note that the linetype is only changing in the "current properties" tab, and not the "layers properties" tab. 

So I was forced to change the linetype under the "current properties" each time I drew in a different Layer.