My home depot plan goes from 1" drains thru to 1-1/4" hose.
I would stay away from that corrugated hose. It gets brittle with age and breaks. Any solids that find their way down the drain will hang up in the corrugation. It will be difficult to support in a way that consistently drains. If it holds water, your arctic winters are going to freeze it and break it. Just sayin'.
Dave
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Blue Heron Boat Works
Reinventing the wheel, one spoke at a time.