WASHINGTON — The backlog of unsold new homes reached a record level last month, as sales slipped despite the warmest January in more than 100 years. The Commerce Department reported Monday that sales of new single-family homes dropped by 5 percent to a seasonally adjusted annual rate of 1.233 million units last month. That was the slowest pace since January 2005 and left the number of unsold homes at a record high of 528,000. Analysts viewed the new data as further evidence that the nation’s red-hot housing market, which hit record sales levels for five straight years, has definitely started to cool. (AP) In a file photo signs point the way to new homes for sale in the west hills of Portland, Ore.,… Full Image “The decline in new home sales in January makes it clear that there is some real softening in the housing market, said Joel Naroff, chief economist at Naroff Economic Advisors. The 5 percent decline was bigger than expected, dashing hopes that the milder-than-normal January would help to bolster demand. The warm weather had pushed up the level of construction starts last month by 14.5 percent, the fastest rate in three […]