By CHRISTOPHER S. RUGABER

Associated Press

Weekly applications for U.S. unemployment benefits jumped 46,000 last week to a seasonally adjusted 388,000, the highest in four months. The increase marks a rebound from the previous week’s sharp drop. Both swings were largely due to technical factors.

The four-week average of applications, a less volatile measure, rose slightly to 365,500, the Labor Department said Thursday. That’s still a level consistent with modest hiring.

A department spokesman said the last two weeks’ figures were distorted by seasonal adjustments the department makes.

Normally, many applicants delay filing for benefits until the start of a quarter because doing so can produce larger checks. It turns out that California didn’t experience the expected jump in applications until the second week of this quarter. That shift had the effect of sharply lowering the seasonally adjusted number two weeks ago and sharply boosting it last week.

Applications are a proxy for layoffs. When they consistently fall below 375,000, it suggests hiring is healthy enough to lower the unemployment rate.

Several economists simply calculated the average of the two distorted weeks, which is 365,000. That’s in line with the recent trend. But it’s modestly improved from September, suggesting that hiring could be a bit better this month.

“Though still struggling, the U.S. labor market appears to be making headway, and we should see a modest improvement in October … payrolls,” Sal Guatieri, an economist at BMO Capital Markets, said in an email to clients.

The number of people receiving benefits fell. Just over 5 million people received unemployment aid in the week ending Sept. 29, the latest data available. That was about 40,000 fewer than the previous week.

Some recent reports suggest the economy is picking up. Retail sales grew in September at a healthy clip. And builders started construction on new homes and apartments last month at the fastest pace in more than four years.

Still, the economy is not growing fast enough to generate much hiring. Growth slowed to a tepid annual rate of 1.3 percent in the April-June quarter, down from 2 percent in the previous quarter. Most economists see growth staying at or below 2 percent in the second half of the year.

The unemployment rate fell in September to 7.8 percent, the lowest level since January 2009, the department said earlier this month. It fell because a government survey of households found a huge increase in the number of people who had jobs. A jump in part-time employment accounted for most of the gain.