Refer to the data on garbage in Exercise 3.31.
(a) Replace the year by (year - 1970). Calculate the correlation coefficient between (year - 1970) and amount of garbage in millions of tons.
(b) Based on your calculation in part (a), what is the correlation between the year itself and the amount of garbage? Explain.

Data from in Exercise 3.31

The amount of municipal solid waste created has become a major problem. According to the Environmental Protection Agency, the yearly amounts (millions of tons) are:

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Year Garbage (millions tons) Population (millions) 1970 1980 1990 2000 2010 2014 121 152 208 243 250 258 203 227 249 282 300 319