a. Why does measurement error in historical data (relative to current data) always produce results that favor convergence? To support your point, consider Y0 and Y-100 to be the GDP levels of a country today (year 0) and 100 years ago (year -100), respectively. Demonstrate your answer by means of a simple arithmetic example (8) b. Using a diagram with countries 1990 per capita income on the X-axis and their growth rate of per capita income from 1990 to 2020 on the Y-axis, graphically present the idea the some developing countries eventually converge to rich income countries in income, while others do not. Explain your depiction in words also. (7)