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Unformatted text preview: PS 233 Intermediate Statistical Analysis Homework 1 (Due 2/1/2002) Exercise 1 Show that: xx yy i n i i S S y y ErrorSS 2 1 2 1 ) (  = = = where 2 1 ) ( y y S n i i yy = = , 2 1 ) ( x x S n i i xx = = , and 1 is the slope of the regression line in a Linear Regression Model. Exercise 2 If the errors in the Linear Regression Model are NOT normally distributed, the OLS estimator is still unbiased, but it is no longer the most efficient. Is this statement true, false, or undetermined? Explain. Exercise 3 Table 1 presents data on economic growth and education for 11 East Asian countries. Ecgrowth measures the average annual growth of GDP per capita during 1965 90. SecSch measures the log of the average number of years of secondary school in the population in 1965. We are interested in estimating the impact of education on economic growth. a) Find by hand the least squares line for the data in Table 1; b) Find by hand a 95% confidence interval for...
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This note was uploaded on 10/21/2011 for the course PS 233 taught by Professor Staff during the Spring '11 term at Duke.
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