In Matlab

3. The population, p of a small community grows rapidly over a twenty-year period. As an engineer working for a utility company, you must forecast the population into the future in order to anticipate the demand for power. Employ an exponential model and linear regression with the following data.

Time (years) 0 5 10 15 20

Population 100 210 430 970 2010

population - b * e ^at

a) Solve for the coefficients a and b.

b) Estimate the population 30 years from now (time = 0).

c) Generate a plot of the data and the curve on the same axes. Label your axes and include a legend. Title this plot, Plot 3 and include in your .pdf submission.