Spring will not be "springing" for much of the northeastern U.S. to start the month of April. In fact, the chance is good for a cold start to April for much of the north and northeastern U.S., according to the Climate Prediction Center. Here's the temperature probability from April 5-9, where deeper blue is likely much below normal.
The temperature probability outlook for April 5-9 from the Climate Prediction Center.
An unusually strong trough will dig over eastern Canada and the northeastern U.S. for the the days beginning April. This will allow cold air to pour into the northeast. While not exactly mid-winter cold, it will be colder than normal for this time of year. Generally expect highs to stay 5-15 degrees below normal, with some of the coldest locales nearly 20 degrees below average for those days.
On the flip side of that, much warmer than normal temperatures will develop over the west and southwestern U.S. This is shown in the oranges and reds on the outlook map.
One thing is consistent, however, through this time frame. Many parts of the country with get those April showers, with the chance of precipitation near or above normal for much of the country (shown in green below).
The precipitation probability outlook for April 5-9 from the Climate Prediction Center.