The Rebased Overlay function draws the selected file in reference to the level of the original price file (i.e. re-based to the same level as the original price file). Analytics does this by dividing the first point of the original price line by the first point of the overlay price line and divides all subsequent data of the overlay price line by the same factor.
To Overlay a Rebased price file:

This dialog box displays the Minimum and Maximum dates also available by clicking on the Earliest Available and the Latest Available buttons within the Overlay dialog box.
(See Relative Overlay for the relevant diagrams.)