I did a graph of Michigan points scored vs OSU points scored over the last 100+ years:
Note that the longer a coaching staff exists, the more points OSU scores - these are the red trendlines.
Also note that at or just after a coaching change, the OSU points scored decreases dramatically - these are the green arrows.
Major Points of Inflection:
1938 hire of Herbert O. Crisler (0.816 win %)
1968 hire of Glen (Bo) Schembechler (0.802 win %)
1990 hire of Gary O. Moeller (0.771 win %)
Note the Carr (0.763), Oosterbaan (0.656) and Elliott (0.548) did not make a blip in the general trend.
Also note that when the OSU score pushes past 30, in coach change occurs, the exception being the 2nd year of Elliot, where the 1st 50 points put on Elliot did not cause a change, but the 2nd 50 pt clip resulted in the hiring of Bo.
Coaching changes at Michigan tend to occur when OSU puts 30+ on Michigan, the last being 42 pts in 2006.
After the coaching change, points given to OSU tends to drop quickly.
Note: When RR was hired, OSU scored 42 and last year only 21 a 50% drop-off.