Suppose That the Coins Analyzed in Problem 1 Are Representative

Suppose that the coins analyzed in problem 1 are representative of the metallurgical content of coins minted in Rome during the first 300 years AD. a)If a Roman coin is selected at random, and it's gold content is 0.20% by weight, calculate the predicted lead content.Be sure to use correct notation and units. c)One of the coins used to calculate the regression equations has a gold content of 0.200%.Calculate the residual for this coin.Be sure to use correct notation and units. d)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 local mints in the Eastern Provinces have to differ from Roman coins?)