THOUSAND OAKS, Calif. — With a public apology and another appeal for privacy, Tiger Woods acknowledged Wednesday that he let his family down with unspecified "transgressions" that he regrets with "all of my heart."

"I have not been true to my values and the behavior my family deserves," Woods said on his Web site following a magazine report of an alleged affair.

It was his longest statement since a middle-of-the-night car crash outside his Florida home last week set off the greatest media scrutiny of Woods' career and his 5-year-old marriage to former model Elin Nordegren. He did not go into detail and said he would deal with his "personal failings" with his family.

"Those feelings should be shared by us alone," he said.

Shortly after the investigation of the car accident ended Tuesday with a $164 citation for careless driving, Us Weekly reported that a Los Angeles cocktail waitress claims she had a 31-month affair with the world's No. 1 golfer.

About three hours before Woods' statement, the magazine released what it said was a voice mail — provided by the waitress, Jaimee Grubbs — that Woods left on her phone three days before his accident.

"I will strive to be a better person and the husband and father that my family deserves," Woods said on his Web site. "For all of those who have supported me over the years, I offer my profound apology."

Woods' career — as a golfer, a pitchman and perhaps the most recognized athlete in the world — has been largely without blemish since he turned pro at age 20.

In the most critical comment from a player, Jesper Parnevik said he owed Nordegren an apology for introducing her to Woods. She once worked as a nanny for the Parnevik family.

"We probably thought he was a better guy than he is," Parnevik told The Golf Channel from West Palm Beach, Fla., where he is in the final stage of PGA Tour qualifying.

Police said Woods' wife told them she smashed out the back window of his Cadillac Escalade SUV with a golf club to help get him out after he struck a fire hydrant and tree.

"I would probably need to apologize to her and hope she uses a driver next time instead of a 3-iron," Parnevik said, adding that he has not spoken to Woods since the accident.

"It's a private thing, of course," the Swede said. "But when you are the guy he is — the world's best athlete — you should think more before you do stuff ... and maybe not 'Just do it,' like Nike says."

But other professional athletes had sympathy for Woods.

Jason Taylor walked into the Miami Dolphins' locker room and saw ESPN running a tease about Woods. He reached up and turned off the TV. "Nobody's damned business," Taylor said.

Minnesota Vikings kicker Ryan Longwell lives in the same Isleworth gated community as Woods outside Orlando, Fla., and said it was "crazy" in the neighborhood. He said his wife told him paparazzi were everywhere and helicopters hovered overhead.

"My wife is a blonde and wears sunglasses in Florida, so every time she comes out of the gate, they're snapping pictures," Longwell said. "It's a different thing than we've ever faced down there. It's certainly a new wrinkle to it.

"You just pray for his family," Longwell said. "You pray for his wife and kids. Just pray that if what's coming out is true that he can learn from it and move on."

In its final report released Wednesday, the Florida Highway Patrol said Woods caused $3,200 in property damage, was not wearing a seat belt and was traveling 30 mph in a 25 mph zone.

The six-page report — which did not include statements from Woods, his wife or any witnesses — said Woods' SUV rubbed up against bushes, crossed over a curb, onto a grass median and into a row of hedges before striking the fire hydrant and a tree. Damage to his Cadillac Escalade was estimated at $8,000.

Woods acknowledged his celebrity status — 82 victories, 14 majors and the first $1 billion athlete — while maintaining his right to keep his personal affairs just that.

"But no matter how intense curiosity about public figures can be, there is an important and deep principle at stake which is the right to some simple, human measure of privacy," Woods said. "I realize there are some who don't share my view on that. But for me, the virtue of privacy is one that must be protected in matters that are intimate and within one's own family. Personal sins should not require press releases and problems within a family shouldn't have to mean public confessions."