Assessment Task:
Age of Coins Statistics Assessment Answer

Task

The data file Jevons in the alr4 package is a study of the weight of 274 gold coins that were collected in 1868 in Manchester, England. For each coin, the weight after cleaning was recorded to the nearest 0.001 gram and the date of the issue. The data includes a summary of this information the variable Age, which is the age of the coin in decades, n, the number of coins with that age, Weight, the average weight of the n coins of that age, SD, the standard deviation of the n coins of that age. The standard for new coins was 7.9876g, and legally the coins had to exceed 7.9379g.

Use weighted least squares to analyze the data appropriately to define the relationship between weight and age. Interpret the regression coefficients, and compare the result to using original least squares (no weights) and discuss the differences.

How do your predictions at ages 1-5 relate to the legal minimum for a coin? Hint: Plot the relationship of SD to the mean to look to see if the variance is constant. Remember the Variance of any mean is SD^2/n, which you will need to create your weight.

 

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  • Uploaded By : Mitchell Lee
  • Posted on : November 13th, 2018

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