Is the fitted regression consistent with the known standard weight for a new coin? For previously un sampled coins of Age = 1, 2, 3, 4, 5, estimate the probability that the weight of the coin is less...

Is the fitted regression consistent with the known standard weight for a new coin?

For previously un sampled coins of Age = 1, 2, 3, 4, 5, estimate the probability that the weight of the coin is less than the legal minimum.

Determine the Age at which the predicted weight of coins is equal to the legal minimum, and use the delta method to get a standard error for the estimated age. This problem is called inverse regression, and is discussed by Brown (1993).