PROBLEM 4E

(a) Census data for the United States between 1790 and 1950 are given in Table 3.1. Construct a logistic population model using the data from 1790, 1850, and 1910.

(b) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error and the percentage error for each entry pair.

Solution

Step 1:

(a)we have given a census data for the United States between 1790 and 1950 and we have to construct a logistic population model using data from 1790,1850,1910.

We have

With (year 1790)

(year 1850)

(year 1910)

Put in equation to get we get,

Let then becomes