Example 15. Robust Regression: US Population Data

The data consists of the U.S. population recorded once every decade from 1790 to 1970.

Source:SAS/STAT User's Guide, Volume 2. SAS Institute Inc.

Table 15: US Population Data

Year  Population
1790       3.929
1800       5.308
1810       7.239
1820       9.638
1830      12.866
1840      17.069
1850      23.191
1860      31.443
1870      39.818
1880      50.155
1890      62.947
1900      75.994
1910      91.972
1920     105.710
1930     122.775
1940     131.669
1950     151.325
1960     179.323
1970     203.211

Questions:

1. Discuss robust regression fitting.

Keywords: Iterated reweighted least squares