U.S. stocks should rally further this week, if investors get more signs that the economic slump is abating and earnings season does not get off to a rocky start.

Alcoa Inc will report results on Tuesday in the unofficial start of first-quarter company results.

But given that the aluminum producer is expected to post another loss, the outlook it provides will be key to investor sentiment.

In this holiday-shortened week, volume could be light, raising the specter of increased volatility as investors look to string together a fifth straight week of gains. Many market participants are likely to be out of the office this week, when Passover begins. Markets will be closed on April 10 for the observance of Good Friday.

After investors got a boost in recent weeks from economic reports suggesting that the grip of the 16-month-old recession may be easing, analysts said stocks probably would make further headway.

The benchmark S&P 500 <.SPX> ended on Friday up 24.5 percent from a 12-year low hit in early March.

The broad market's recovery from that significant low helped to propel the Dow Jones industrial <.DJI> average to its best four-week advance since 1933. On Friday, the Dow closed back above 8,000 for the first time since early February.

For the past week, the Dow advanced 3.1 percent, the S&P 500 rose 3.3 percent and the Nasdaq climbed 5 percent.

I think we've still got quite a bit of room on the upside, said William Stone, PNC Wealth Management's chief investment strategist in Philadelphia. We seem to have become medicated in March and into early April and have shrugged off some negative numbers, he said.

The medication was that expectations on the economy got low enough that we were able to get some numbers that while ugly, are a bit better than expected, Stone added.

HOPES THAT THE WORST IS OVER

The highlights of the week's economic releases include Wednesday's minutes from the Federal Reserve's March 17-18 policy meeting, at which it decided to pump an additional $1 trillion into the U.S. economy, partly by buying government bonds for the first time since the 1960s.

On Thursday, the government will release data on the latest weekly jobless claims and the international trade deficit for February.

Besides that, investors will keep tabs on any rhetoric out of Washington as the Obama administration works to prop up the banks and drive initiatives for economic recovery.

The last couple of weeks, we have been seeing a few green shoots of slightly better macro data, said John Praveen, chief investment strategist at Prudential International Investments Advisers in Newark, New Jersey. The market will be looking for follow-up on whether we are going to have an improvement in the macro data. For the full economic diary, click

Also set to command attention: The U.S. Securities and Exchange Commission will meet on Wednesday to consider an updated version of the so-called uptick rule to regulate a type of trading blamed for dramatic declines in stocks.

Friday's bleak March nonfarm payrolls data became the latest economic data point that the stock market shrugged off, leading some analysts to say the economic damage could not possibly get much worse.

According to the government data, the U.S. unemployment rate soared to 8.5 percent last month, a new 25-year high, as employers cut 663,000 jobs and slashed workers' hours to the lowest on record.

Even so, the benchmark S&P 500, the Dow Jones industrial average <.DJI> and Nasdaq <.IXIC> all finished the session in positive territory, and each registered a fourth straight weekly advance.

Still, there are concerns that the stock market's recent run higher could soon hit a pothole.

We believe a deep pullback to 750-775 in the S&P 500 <.SPX> is the kind of final low we expect to see, JPMorgan U.S. equity strategist Thomas Lee said in a note.

The S&P 500 ended on Friday at 842.50, and according to Thomson Reuters data, the index's 200-day relative strength chart shows that it remains well off the range that typically signals overbought conditions.

A NEGATIVE MILESTONE FOR EARNINGS

Analysts expect Alcoa to report a second consecutive quarterly loss this week, mostly due to the fact that the price of aluminum has dropped nearly 10 percent this year.

Alcoa, like most producers, has cut production in the last six months as the global economic downturn stunted demand.

The question is: 'What is the outlook for these companies for the rest of the year?' Like all of us, they don't know. All they can really do is project the current environment, which is clearly negative, said Tim Ghriskey, chief investment officer of Solaris Asset Management in Bedford Hills, New York.

According to the latest Thomson Reuters data, first-quarter earnings are expected to drop 36.6 percent from a year earlier, marking the longest streak of negative growth since Thomson Reuters began tracking the data in 1998.

(Additional reporting by Leah Schnurr and Chuck Mikolajczak;

Editing by Jan Paschal)

(Wall St Week Ahead runs weekly. Questions or comments on this one can be e-mailed to: ellis.mnyandu(at)thomsonreuters.com)

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