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Using matlab
1. Least Square Curve Fitting: Consider the population in Bryan, TX from year 1900 to 2010, below: 1900 1910 1920 1930 1940 1950 19601970 1980 1990 2000 2010 3,589 4,132 6,307 7,814 11,842 18,072 27,542 33,141 44,337 55,002 65,660 76,201 Using the logistic model, NoK where N() is the the population at time (years from the intial year), and No is the initial population. Find the the growth parameter rs0 and carrying capacity K>-O such that the model best fits the data in the least square sense. Plot your results to show the fit, i.e., the model curve and data in the same plot.
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