In the problem involving days, a 365−day year is assumed.
Crime statistics. According to data published by the FBI, the crime index in the United States has shown a downward trend since the early 1990s (see table).
Crime Index
Year | Crimes per 100,000 Inhabitants |
1987 | 5,550 |
1992 | 5,660 |
1997 | 4,930 |
2002 | 4,125 |
2007 | 3,749 |
2009 | 3,466 |
(A) Find a cubic regression model for the crime index if x = 0 represents 1987.
(B) Use the cubic regression model to predict the crime index in 2022.
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