Drill pilot holes into the beadboard. These will be used later to nail the boards into the wall.
Squeeze out four or five horizontal stripes of adhesive on the wall using the caulking gun. Make each stripe of adhesive about 1 or 2 feet long.
Fit each board's groove over the tongue of the previous board, making sure to align the top edge with the layout line. Press the wood into the adhesive.
Using the nail set and hammer, hammer the nails through the beadboard and into the wall.
Check with a level to make sure that the boards remain even with the layout line as you nail them to the wall.