( CNN ) -- Golfer Tiger Woods apologized Wednesday for `` transgressions '' that let his family down -- the same day a gossip magazine published a report alleging he had an affair . `` I have let my family down and I regret those transgressions with all of my heart . I have not been true to my values and the behavior my family deserves , '' he said in a statement on his official Web site . Woods did not admit to an affair and offered no details about the `` transgressions '' in his statement . `` I am not without faults and I am far short of perfect . I am dealing with my behavior and personal failings behind closed doors with my family . Those feelings should be shared by us alone . '' Read Woods ' statement . US Weekly magazine printed a report Wednesday alleging that Woods had an affair with Jaimee Grubbs , whom it identified as a 24-year-old cocktail waitress . The magazine also published what it says is a voice mail message from Woods to Grubbs . `` Hey , it 's Tiger , '' a man says in the recording . `` I need you to do me a huge favor . Can you please take your name off your phone ? My wife went through my phone and may be calling you . `` So if you can , please take your name off that . ... What do you call it ? Just have it as a number on the voice mail . Just have it as your telephone number . That 's it , OK ? You got to do this for me . Huge . Quickly . All right . Bye . '' CNN could not independently confirm that the voice on the recording was Woods . Attention has been focused on Woods since he crashed his SUV outside his Florida home last week . Investigators say he crashed the vehicle into a fire hydrant and tree . Woods was not required to talk to police about the wreck , and declined to talk with investigators on several occasions . What do you think about the whole Tiger saga ? Woods ' attorney , Mark Nejame , declined to comment on reports of an affair Tuesday night , saying he was hired to represent Woods in the traffic case . The Florida Highway Patrol said Tuesday that it cited Woods for careless driving -- the golfer paid a $ 164 fine -- and closed its investigation . The golfer said Wednesday that he was `` dismayed to realize the full extent of what tabloid scrutiny really means '' for him , his wife , model Elin Nordegren , and their children -- a 2-year old daughter , Sam , and a 9-month old son , Charlie . `` For the last week , my family and I have been hounded to expose intimate details of our personal lives . The stories in particular that physical violence played any role in the car accident were utterly false and malicious . Elin has always done more to support our family and shown more grace than anyone could possibly expect. `` The 33-year-old golf phenomenon has won the Masters tournament and the PGA tournament each four times , as well as three U.S. Open titles . Grubbs is the second woman to be romantically linked to Woods through news reports this week . The National Enquirer reported a few days before Woods ' crash that the golfer was having an affair with a New York nightclub hostess -- an assertion the hostess vigorously denied Tuesday , according to The New York Post . The woman said a disgruntled acquaintance sold the story to the supermarket tabloid and that `` not a word of it is true . '' See what people are saying . George Merlis , president of Experience Media Consulting Group in Los Angeles , California , said Woods should have said more after last week 's accident . `` I think he needed to get out in front of the story very early on , because if you do n't get out in front of something like this , you give free rein to speculation , '' he said . Asked whether the allegations might scare off Woods ' sponsors , Merlis said , `` If I were a businessman contemplating doing a really expensive endorsement deal with him , I would think twice . '' Nike , Gatorade , Gillette and other sponsors said Wednesday they would continue their relationships with Woods . CNN Radio 's Matt Cherry contributed to this report .
`` I have not been true to my values and the behavior my family deserves , '' golfer says . `` I am dealing with my behavior ... behind closed doors with my family , '' he says on Web site . Comments come the same day a gossip magazine story alleges he had affair with waitress . Magazine also publishes what it says is a voice mail message from Woods to waitress .