The axes go from 0 to 10 (X) and 0 to 8 (Y), with gridlines every 2 units, and with default features (ticks, labels) hidden. The X values for the bubbles are 1, 3, 5, 7, 9 and the Y values are 1, 3, 5, 7.
For x labels, I added a series with the X values above but with Y=0. I formatted the bubbles to be invisible (no fill, no outline), and added data labels using the Below position (you can add the labels manually or with Rob Bovey's Chart Labeler, free from
http://appspro.com). I did the same for Y values, with the Y values from above and X=0, hid the series, and added labels in the left position.
It took me longer to type this than to make the chart.
Keep in mind that people do not accurately judge the values represented by the bubble size. If you removed the numeric labels, there would be some confusion.