here is question 2

2. In this question, you will use real-world data to check the ability of the exponential growth equation to approximate percentage changes, and learn even more. (a) G0 to the FRED database (https://fred.stlouisfed.org/) and nd data on the population in China from 1960 to 2019. (Type in "Population, Total for China" and it should come up.) Download the data into an excel spreadsheet. Compute the annual growth rate, or percentage change in the p0pulation, each year. Then compute the average. Round your answer to 2 decimal places. This is the approx- imate annual average growth rate of the population, 1\". Report it here. (Please let me or John know if you have any trouble with excel.) (b) What do you notice about the individual growth rates in each year over time versus the average? Given the historical context for China, what do you think caused this? (You can google this if you don't know the historical context.) (c) Even though you already know the population in the years after 1960, use the average growth rate, r, in an exponential growth equation, with 1960 as the start- ing year, to estimate the population in 2014, 2015, and 2016. Fill in the following table. Show your work: 2014 --- --- --- Good estimate? mm --- (d) The Rule of 70 states that when something is growing exponentially, the time it will take to double is approximately equal to 70/ r, where 'r is measured in percent form, not decimal form. Check the rule of 70 for China's population, starting at 1960. Show your work. (e) Is the exponential growth equation a good model to use to for China's population growth? Use the evidence above to explain. (f) Include a screenshot of part of your excel spreadsheet