Her head was bowed, as if in regret or shame.

她微微低着头，似乎在羞愧或后悔着什么。

youdao

But I am still in regret, as I am about to leave you, thus I try to cherish the current time.

只不过我还在惋惜，因为我快要离开你了，所以我努力的珍惜着现在是非。

youdao

This report was published in good faith but we regret any confusion which may have been caused.

发表这份报告出自诚意，但是我们对可能引发的任何混乱而感到遗憾。

《柯林斯英汉双解大词典》

In New York, Iranian President Mahmoud Ahmadinejad said President Obama will regret saying that Iran has been building a secret facility.

VOA: special.2009.09.26

In the next example you can use "I'm sorry" not to express regret for your personal fault.

下一个例句中，“I'm sorry”的使用并不是用来表达对个人过失的抱歉。

I'm sorry 课堂 - SpeakingMax英语口语达人

The president said he had considerable regret in accepting the resignation of "one of our nation's finest soldiers."

VOA: special.2010.06.26

LeBron James does not appear to be a man saturated in regret.

WSJ: Jason Gay: What Linsanity Says About New York

Cerf, who helped design the first protocols that allowed information to be sent across computer networks in the late 1970s, expressed regret in a speech Tuesday that he hadn't designed the Internet to be a safer, more regulated system.

FORBES: Made For Hacking

Mr Checchi's millions did have at least one effect: they persuaded the most formidable Democrat, Dianne Feinstein, not to run in the first place (a decision she is now said to regret in light of the result).

ECONOMIST: A steady lot, the Californians