Octave Code for:

A formula for the population of the USA is where t is the date in years. Some actual data is as follows

Date Population

1800 5308000

1820 9638000

1840 17069000

1870 38558000

1900 75995000

1930 122775000

1950 150697000

Find values of P₀ and a that give a best fit of the formula to the data. Produce a graph showing the function P(t) against time as a continuous line, together with the given data points as discrete points

(Using Linear Algebra I have to find the best values for P₀ and a that give a best fit of the formula to the data and then create the code in Octave.)