The Following Table Contains Population Data for a Minnesota County

Essay

The following table contains population data for a Minnesota county for the decades from 1900 to 1980: $$\begin{array} { | l | c | c | c | } \hline \text { Year } & \text { Clay County Population } & \begin{array} { c } \text { Population Estimate } \\\text { (Exponential Model) }\end{array} & \begin{array} { c } \text { Population Estimate } \\\text { (Logistic Model) }\end{array} \\\hline 1900 & 17,942 & & \\\hline 1910 & 19,640 & & \\\hline 1920 & 21,780 & & \\\hline 1930 & 23,120 & & \\\hline 1940 & 25,337 & & \\\hline 1950 & 30,363 & & \\\hline 1960 & 39,080 & & \\\hline 1970 & 46,585 & & \\\hline 1980 & 49,327 & & \\\hline\end{array}$$ (a) Produce a scatter plot for the data.(b) Find an exponential model using the data from 1900 through 1950.(c) Find a logistic model using the data from 1900 through 1950. (Assume the carrying capacity is 440,000.)
(d) Use your models to estimate the population for 1960, 1970, and 1980. Enter your data in the table provided above.