Suppose That the Locally Minted Coins Analyzed in Exhibit 4-5

Essay

Suppose that the locally minted coins analyzed in Exhibit 4-5 are representative of the metallurgical content of mints in the Eastern provinces of the Roman Empire during the first 300 years AD.
a)If a locally minted coin is selected at random, and it's gold content is 0.30% by weight, calculate the predicted lead content. Be sure to use correct notation and units.
b)One of the coins used to calculate the regression equations has a gold content of 0.300%. Calculate the residual for this coin. Be sure to use correct notation and units.
c)The investigators would like to use the regression equation to help assess whether a coin is locally minted or minted in Rome. In a few sentences, describe how the regression equation could be used for this purpose. (Hint: In order to use the equation for this purpose, how would coins minted in Rome have to differ from locally minted coins?)