The movie is based on the 2005 book by Steven Levitt and Stephen Dubner. It's directed by five filmmakers, including Alex Gibney and Morgan Spurlock.
Spurlock directed the Oscar-nominated documentary "Super Size Me."
Gibney's film "Taxi to the Dark Side" was the Academy Award for best documentary in 2008. He has three films at the Tribeca festival. He will also screen his "My Trip to Al-Qaeda" and an unfinished version of a documentary on former New York Gov. Eliot Spitzer.
The Festival will also host a gala premiere of "Letters to Juliet," a charming romance, starring Amanda Seyfried ("Mamma Mia!") and Vanessa Redgrave on April 25 as well as "My Own Love Song," which marks its international premiere.
"My Own Love Song," is the first English language film from Olivier Dahan, director of the two-time Academy Award-winning film "La Vie En Rose."
The film, based on the journey of an a ex-singer, stars Academy Award-winners Renée Zellweger and Forest Whitaker and also features original music by Bob Dylan.
"This trio of films embodies the spirit of diversity that has defined Tribeca through the years," said Nancy Schafer, executive director of TFF.
"Audiences will be charmed by 'Letters to Juliet,' moved by Jane's emotional journey to redemption in 'My Own Love Song' and glued to their seats during the riveting 'Freakonomics,' which marks the return of some of today's best documentary filmmakers to Tribeca. We are truly honored that they've once again chosen our Festival as a platform to share their work," Schafer added.
The ninth annual Tribeca Film Festival runs from April 21 to May 2. The festival earlier announced the rest of its lineup.