The cleaner way to do that is:

1. Create your analysis in the Analyses tab.
2. Click on Map right to your expression's Output Attribute (or Output in function for a Rollup analysis).
3. Click on New Attribute.
4. Choose Save Output History to No
5. Give a name/description to your attribute, choose appropiate data server and type, and then click on OK.

The new attribute's Data Reference is then set to Analysis.

Note 1: if choosen Save Output History to Yes in step 4 then the Data Reference is always set to PI Point.

Note 2: no way to set Data Reference to Analysis by a simple creation of an attribute unlinked to an analysis.

Note 3: the best practice for static attributes as outputs of analyses is indeed to set their Data Reference to Analysis, avoid setting that to None though it is possible.