The following data represent the population of a country. An ecologist is interested in building a model that describes the population. Year, x 1900 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 Population, y 76,212,200 92,228,500 106,021,500 123,202,600 132,164,600 151,325,800 179,323,200 203,302,000 226,542,200 248,709,900 281,421,900 1 (a) Treating the year as the independent variable and the population as the dependent variable, use a graphing utility to fit a logistic model from the data. Find the values for a, b and c in a logistic model of C the form y = 1 + ae bx a = (Use scientific notation. Round to five decimal places as needed.) b = (Round to four decimal places as needed.) C= (Round to one decimal place as needed.)

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