By Ankur Banerjee SINGAPORE (Reuters) -The dollar rose on the first trading day of the year as attention turned to economic data this week that may provide clues on the Federal Reserve’s next moves, while bitcoin surged above $45,000 for the first time since April 2022. The dollar index, which measures the U.S. currency against six rivals, fell 2% in 2023, snapping two years of gains. It was last at 101.54, up 0.158%, as investors weighed the prospect of the Fed cutting rates this year. The dollar’s ascent weighed on the Japanese yen the most, with the Asian currency down 0.54% at 141.63 per d…