By Matt Tracy Oct 27 (Reuters) - U.S. Treasury yields rose on Friday following a slew of economic data, as traders weighed their impact on the Federal Reserve's rate path. Long-term Treasury yields ticked up on Friday, after data showed economic growth and core PCE, a key inflation metric, rose in line with expectations. The yield on 10-year Treasury noteswas up 1.3 basis points to 4.858%. The yield on the 30-year Treasury bond was up 2.8 basis points to 5.016%. A closely watched part of the U.S. Treasury yield curve measuring the gap between yields on two- and 10-year Treasury notes , seen as an indicator of economic expectations, was at -18.2 basis points. The two-year U.S. Treasury yield, which typically moves in step with interest rate expectations, was down 0.2 basis point at 5.037%. Personal income across U.S. households increased by $77.8 billion in September 2023, with a 0.3% month-to-month increase. Personal spending rose by $138.7 billion, or 0.7%, showing resilient demand despite higher borrowing costs. In addition, inflation remained stable but persistent in September, with the Core PCE price index increasing by 0.3%. Yields have rallied this month as the market assesses the odds of a coming recession, after recent hawkish comments by Fed Chair...