In the problem involving days, a 365−day year is assumed.
Agriculture. The number of dairy cows on farms in the United States is shown in the table for selected years since 1950. Let 1940 be year 0.
Dairy Cows on Farms in the United States
Year | Dairy Cows (thousands) |
1950 | 23,853 |
1960 | 19,527 |
1970 | 12,091 |
1980 | 10,758 |
1990 | 10,015 |
2000 | 9,190 |
2010 | 9,117 |
(A) Find a logarithmic regression model (y = a + b ln x) for the data. Estimate (to the nearest thousand) the number of dairy cows in 2023.
(B) Explain why it is not a good idea to let 1950 be year 0.
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