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Fun with Equations!
The M
bh
-σ relation takes the basic form:
log (M
bh
/M
o
) = α + βlog(σ/σ
o
)
Problem
: β is not well constrained from prior analyses:
FM has derived 5.27 ± 0.40, 4.8 ± 0.5, 4.72 ± 0.36, 4.65 ± 0.48, 4.58 ± 0.52
Gephardt has derived 3.75 ± 0.3
A useful statistical analogy:
Height vs. Weight!
Graph the height and weight of each individual in the room
Humans height should scale as power law of 1/3 with weight (based solely on volume)