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= 100 countries on: average annual growth rate of GDP per capita during 1960-2015 (inpercentage points)Y X1 = GDP per capita in the initial year 1960 (in USD) X2average annual investment per worker (in USD hundred per worker) X3 = number of years of schooling of the average worker D4whether the country has had, for the entire period considered, a parliamentary system of government (1 = Yes) The Excel output coming from an OLS estimation of a linear regression model of Y on X1, X2, X3 and D4 is reported below. (a) What are the OLS estimates of the coefficients on X3 and D4? State verbally how you would interpret each of these numbers. [5 marks] (b) What 95% confidence interval has been obtained for the coefficient on X2?And what 99% confidence interval? Why do they differ? (5 marks) (c) Which variables are statistically significant (and which variables are not) at the 1% level? Use, at least, two procedures to justify your answer and state clearly the steps taken to reach your conclusion. [5 marks] (d) Are the explanatory variables as a whole significant? That is, is R statistically significantly different from zero? Why? [5 marks] (e) If a country in the sample had a GDP per-capita of USD 4,200 in 1960,invested USD 8 (hundred) per worker, on average, every year, with an average worker having 12 years of schooling and no parliamentary system of government,what would be its predicted average annual growth in GDP per-capita during1960-2015? Show your calculations and explain your reasoning. [5 marks]

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