3. Suppose you are interested in investigating the effects of computer owners hip (PC) on college...
1. Suppose you are interested in investigating how the crime rate (crmte) would affect a city's GDP (a) Soppose you randomly selected 50 cities in China and collected data on the crime rates and GDP's of these cities, you set up the following model GDP po Pierm te,+ u Explain why the OLS estimator for the above model is likely to be biased (b) Suppose now you have the data of the 50 cities from the year 2000 to 2010....
3. Consider estimating the effect of personal computer ownership, as represented by a binary variable, PC, on college GPA, colGPA. With data on SAT scores and high schoool GPA you postulate the model Why might u and PC be positively correlated? If the given equation is estimated by OLS using a random sample of college students, is likelily to have an upward or downward asymptotic bias? Briefly explain why? (c) What are some variables that might be good proxies for...
2. Suppose that you wish to estimate the effect of class attendance on college students' performance: final-A + β1ACT + β2att end + β3GPA+ u where ACT is the student's ACT score, attend is the fraction of classes attended over the semester, and GPA is the student's GPA (a) Why might attend be correlated with u? (b) Let dist be the distance from the student's living quarters to the lecture hall. If living quarters are assigned by lottery, will dist...
11. Suppose you are interested in estimating the effect of hours spent in an SAT preparation course (hours) on total SAT score (sat). The population is all college-bound high school seniors for a particular year. (i) Suppose you are given a grant to run a controlled experiment. Explain how you would structure the experiment in order to estimate the causal effect of hours on sat. (ii) Consider the more realistic case where students choose how much time to spend in...