Question

1800	2778
1801	2743
1802	2832
1803	2911
1804	3036
1805	2938
1806	3009
1807	3018
1808	3187
1809	3204
1810	2956
1811	2858
1812	2920
1813	3000
1814	3036
1815	2903
1816	2858
1817	2885
1818	3107
1819	3080
1820	3080
1821	3027
1822	3062
1823	3089
1824	3169
1825	3125
1826	3213
1827	3160
1828	3125
1829	3116
1830	3071
1831	3178
1832	3204
1833	3222
1834	3249
1835	3338
1836	3098
1837	3018
1838	3062
1839	3036

year and Real gdp per capita

1.Compute the average growth rate of GDP per capita for the whole period. Hint: use the formula provided in equation

2. Now let’s try to find subperiods with seemingly very different growth rates. However try to avoid detecting short deviations from the long run trend – growth is about centuries, half centuries, definitely not about 2-4-6 years long sub-periods. Usually no more than 3 periods are enough, however for most of the countries there are only 2 very different sub-periods.
Hint: The graph helps you to identify subperiods with seemingly different growth rates. Explanation: in your graph the slope of the data series is approximately the average growth rate. Find these subperiods (like 3-5 subperiods, not more) and calculate the average growth rates for these subperiods as well.

here's what I've down so far, I don't know how to generate a graph. I apologize for posting this and I feel guilty, but the distance learning really lack support from professors, my TA downloaded this complex assignment and expect us to figure out by ourselves... The table I've provided is incomplete coz Chegg does not allow me to do the whole thing so if you can explain in detail for these two questions, I will look carefully and learn as much as I can and apply it to the actual work. Whoever you are, you're saving my higher education!

gItaly=	(10.41-7.929)/(2016-1800)
	2.481/216=0.01148148

Answer 1

Q1) The average growth rate is given by : (ln(GDP in last year) - ln(GDP in the first year)) /(total number of years)

In the data provided we get: (ln(3036) - ln(2778)) / 40 (ln is the natural log)

= 0.0022 = 0.22%

Q2) For this part, just draw a simple line graph on excel using your complete data ) years on x axis and GDP on y axis). You will see an upward sloping curve. The trend will be visible. There will be some years where the GDP is increasing or decreasing too much from the trend (for instance 2008-09). Those years are what is being asked as short deviations.