It appears that over the past 50 years, the number of farms in the
United States declined while the average size of farms increased.
The following data provided by the U.S. Department of Agriculture
show five-year interval data for U.S. farms. Use these data to
develop the equation of a regression line to predict the average
size of a farm by the number of
farms Discuss the slope and y-intercept of the
model.
Year | Number of Farms (millions) | Average Size (acres) |
1960 | 5.64 | 208 |
1965 | 4.62 | 256 |
1970 | 3.99 | 294 |
1975 | 3.32 | 344 |
1980 | 2.95 | 378 |
1985 | 2.51 | 420 |
1990 | 2.41 | 427 |
1995 | 2.24 | 443 |
2000 | 2.14 | 463 |
2005 | 2.06 | 468 |
2010 | 2.18 | 435 |
2015 | 2.09 | 442 |
(Do not round the intermediate values. Round your
answers to 2 decimal places.)
Appendix A Statistical Tables
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