Exploring the US Census Data
by Mike Martin

This page utilizes the official US Census Data, comparing the population data, P ( t ), to two models (given below) and also producing two additional plots, detailed below, that are transformations of the data and then modeled.

Year
Population
(millions)
1790
3.929
1800
5.308
1810
7.240
1820
9.638
1830
12.866
1840
17.069
1850
23.192
1860
31.443
1870
38.558
1880
50.156
1890
62.948
1900
75.996
1910
91.972
1920
105.711
1930
122.775
1940
131.669
1950
150.697
1960
179.323
1970
203.185
1980
226.546
1990
248.710
2000
281.420
2010
308.745
2020
-

The first model is exponential and of the form

where
k1 =  
P0 =  

The second model is logistic and given by


where

k2 =  
a =  
b =  

  ≤   time (in years)   ≤  

Enter in values of the parameters and the plotting bounds, then press the "Evaluate" button.


The third plot has versus t and is modeled by a linear function (red)

y =   t   +  

and a quadratic function (green)

y =   t2   +     t   +  

The fourth plot has versus t. It is modeled by a linear function (red)

y =   t   +  

and a quadratic function (green)

y =   t2   +     t   +