Problem

Diet. Refer to Table 1.(A) Let x represent the number of years since 1980 and find a cubic...

Diet. Refer to Table 1.

(A) Let x represent the number of years since 1980 and find a cubic regression polynomial for the per capita consumption of eggs.


(B) Use the polynomial model from part (A) to estimate (to the nearest integer) the per capita consumption of eggs in 2022.

Table

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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