# Polynomial Regression Analysis

Use a polynomial model for the data to answer the following questions. Round all numerical answers to 3 decimal places, and years to the year.

1. Today, how many square kilometers of the earth's surface are there per person? If this were a square, what would be the length of one side?

2. If the population continues to grow at the current rate, in what year will we have an average of one thousand square meters of the earth's surface per person (assuming everyone can walk on water?

3. Assuming that no one can walk on water, no one wants to live in Antarctica and correct for the uninhabitable land, repeat question #2.

4. Assuming the present population growth rate was the same in the past, in what year did we have only two people on earth? Is this realistic?

See attached file for full problem description.

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#### Solution Preview

Year Population Year Population

1988 5,110,100,000

1970 3,707,600,000 1989 5,196,300,000

1971 3,785,100,000

1972 3,862,100,000 1990 5,283,700,000

1973 3,938,700,000 1991 5,366,900,000

1974 4,014,500,000 1992 5,449,600,000

1993 5,531,000,000

1975 4,088,200,000 1994 5,610,900,000

1976 4,160,300,000

1977 4,232,900,000 1995 5,690,800,000

1978 4,305,400,000 1996 5,768,600,000

1979 4,380,700,000 1997 5,846,800,000

1998 5924,500,000

1980 4,456,700,000 1999 6,002,500,000

1981 4,532,900,000 2000 6,080,100,000

1982 4,613,400,000

1983 4,693,900,000 2001 6,179,000,000

1984 4,773,500,000 2002 6,246,500,000

2003 6,271,700,000

1985 4,854,600,000 2004 6,396,000,000

1986 4,937,600,000 2005 6,461,841,196

1987 5,023,500,000

The earth's radii's is approximately 6534 kilometers

The earth is approximately a sphere.

The surface area of a sphere is 4nr^2.

The ...

#### Solution Summary

The expert examines polynomial regression analysis. Populations continued to growth at the current rates are determined.