Answer: McGregor's Theory Y
Explanation: In simple words, theory Y refers to a management style in which the managers have the perception that there subordinates are efficient employees who are self motivated. These managers do not monitors their subordinates performance strictly.
In the given case, Bill is seen as a smart and innovative employee and is heavily praised by his manager.
Hence from the above we can conclude that the managerial perspective in the given case depicts theory Y style.