I looked at all the GPC data available, going back to 2005, and used just those entries that had the mother seed wt recorded along with the offspring wt.
Then doing a simple linear regression, I looked at the relationship between the two.
There is actually a statistically significant relationship. Here's the resulting equation:
Offspring_weight = 483 + (Mother_seed_weight x 0.304)
Here's a table with the expected average results for a range of mother wts.
mother_wt------Average_offspring_wt
200---------------543.8
400---------------604.6
600---------------665.4
800---------------726.2
1000--------------787
1200--------------847.8
1400--------------908.6
1600--------------969.4
It's noisy, of course, but explains about 8.5% of the variation (r^2=0.085).
If we assume the standard deviation is constant across the range of mother weights than larger mother weights would, on average, have a higher probability of growing that 2000 lb offspring.
I looked at individual years' data and they all show pretty much the same trend as all years combined.
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