Federal prosecutors are conducting a criminal investigation into data deals Facebook struck with some of the world’s largest technology companies, intensifying scrutiny of the social media giant’s business practices as it seeks to rebound from a year of scandal and setbacks. A grand jury in New York has subpoenaed records from at least two prominent makers of smartphones and other devices, according to two people who were familiar with the requests and who insisted on anonymity to discuss confidential legal matters. Both companies had entered into partnerships with Facebook, gaining broad access to the personal information of hundreds of millions...