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# 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.

#### 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 ...

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