Over this period, the population grew roughly exponentially. Taking t = 0 to correspond to the start of the year 1790, we can approximate the population size by the exponential curve N(t) = N0 ekt for some N0 and k. Find the best fitting values of N0 and k by taking natural logs of the population sizes and using linear regression. (Give your answers correct to at least four decimal places, but be careful to use the unrounded values when you calculate the answers to the last two parts of this problem!)