5.14\.\* One of the remarkable technological developments in the computer industry has been the ability to store information densely on a hard drive. In addition, the cost of storage has steadily declined causing problems of too much data as opposed to big data. The data set for this assignment is cpg, which consists of the median annual retail price per GB of hard drives, say ct, taken from a sample of manufacturers from 1980 to 2008. (a) Plot ct and describe what you see. (b) Argue that the curve ct versus t behaves like ct aebt by fitting a linear regression of log ct on t and then plotting the fitted line to compare it to the logged data. Comment. (c) Inspect the residuals of the linear regression fit and comment.