Interesting. Could not resist making this table. In ideal conditions (everything flat, balls perfectly round etc):
An error of a 1/2 degree (worst pro putt) will make a putt of 7 meters / 22,97 feet roll outside the edge of the hole.
Double that error and you'll (obviously!) miss the putts on half that distance..
EDIT: Forgot to say this, but a discussion about how plane and face alignments contribute to direction is relevant, but ignored. There are no flat greens and no round balls anyway...
__________________
When James Durham recorded 94 at the Old Course at St Andrews in 1767, he set a course record that lasted 86 years. Golf: A curious sport whose object is to put a very small ball in a very small hole with implements ill desiged for the purpose - Sir Winston Churchill