Diet. Table 1 shows the per capita consumption of ice cream and eggs in the United States for selected years since 1980.
(A) Let x represent the number of years since 1980 and find a cubic regression polynomial for the per capita consumption of ice cream.
(B) Use the polynomial model from part (A) to estimate (to the nearest tenth of a pound) the per capita consumption of ice cream in 2025.
Table 1 Per Capita Consumption of Ice Cream and Eggs
Year | Ice Cream (pounds) | Eggs (number) |
1980 | 17.5 | 266 |
1985 | 18.1 | 251 |
1990 | 15.8 | 231 |
1995 | 15.5 | 229 |
2000 | 16.5 | 247 |
2005 | 14.4 | 252 |
2010 | 13.3 | 242 |
Source: U.S. Department of Agriculture
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