The Following Table Contains United States Population Data for the Years

question 11

Essay

The following table contains United States population data for the years 1790-2000 at intervals of 10 years. $$\begin{array}{l}\begin{array} { | c | c | c | } \hline \text { Year } & \begin{array} { c } \text { Years since } \\1790\end{array} & \begin{array} { c } \text { U.S. population } \\\text { (millions) }\end{array} \\\hline 1790 & 0 & 3.9 \\\hline 1800 & 10 & 5.2 \\\hline 1810 & 20 & 7.2 \\\hline 1820 & 30 & 9.6 \\\hline 1830 & 40 & 12.9 \\\hline 1840 & 50 & 17.1 \\\hline 1850 & 60 & 23.2 \\\hline 1860 & 70 & 31.4 \\\hline 1870 & 80 & 39.8 \\\hline 1880 & 90 & 50.2 \\\hline 1890 & 100 & 62.9 \\\hline\end{array}&\begin{array} { | c | c | c | } \hline \text { Year } & \begin{array} { c } \text { Years since } \\1790\end{array} & \begin{array} { c } \text { U.S. population } \\\text { (millions) }\end{array} \\\hline 1900 & 110 & 76.0 \\\hline 1910 & 120 & 92.0 \\\hline 1920 & 130 & 105.7 \\\hline 1930 & 140 & 122.8 \\\hline 1940 & 150 & 131.7 \\\hline 1950 & 160 & 150.7 \\\hline 1960 & 170 & 178.5 \\\hline 1970 & 180 & 202.5 \\\hline 1980 & 190 & 225.5 \\\hline 1990 & 200 & 248.7 \\\hline 2000 & 210 & 281.4 \\\hline\end{array}\end{array}$$
(a) Make a scatter plot for the data and use your scatter plot to determine a mathematical model for the U.S. population.(b) Use your model to predict the U.S. population in 2005.

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Definitions:

Stock Split

A corporate action where a company divides its existing shares into multiple shares, effectively reducing the price of an individual share for investors while keeping the overall market capitalization the same.

Value-Weighted Index

An stock index in which each component is weighted according to its market value.

Price-Weighted Index

A stock market index in which each company's stock is included in proportion to its share price, meaning higher-priced stocks have more influence on the index's performance.

Stocks

Financial instruments that represent an ownership share in a corporation, entitling the holder to a proportion of the company's assets and profits, usually traded on stock exchanges.