A simple explanation of regression for multiple baseline design?

Hey guys.

I’m doing a single-case, multiple baseline design study. It’s likely that visual analysis will show significance, which means I’ll need to do a regression-based analysis, as recommended by the What Works Clearinghouse.

In my proposal I need to write 2-3 simple sentences about what this regression involves but I’m struggling to interpret the formula and condense it into ‘plain English’ in so few words.

Could anyone please help? Thanks in advance!