Consider a simple model to explain a country’s alcohol related automobiles incidents (totaai) in terms of police police officers (topps): Estimating (a) using quarterly data from 1991-2024 gives: log(totaait) = 12.58 − 0.66 log(topps); (2.22) (0.33) n = 95; R2 = :439; 3. Suppose that both total alcohol incidents (totaai) and total police officers (totts) have a positive trend. Given this information, discuss whether the OLS estimates of ˛1 from equation (a) is unbiased (i.e., E(˛ˆ 1) = ˛1)?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.EA: Extended Application Using Extrapolation To Predict Life Expectancy
Problem 2EA
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Consider a simple model to explain a country’s alcohol related automobiles incidents (totaai) in terms of police police officers (topps): Estimating (a) using quarterly data from 1991-2024 gives: log(totaait) = 12.58 − 0.66 log(topps); (2.22) (0.33) n = 95; R2 = :439; 3. Suppose that both total alcohol incidents (totaai) and total police officers (totts) have a positive trend. Given this information, discuss whether the OLS estimates of ˛1 from equation (a) is unbiased (i.e., E(˛ˆ 1) = ˛1)?
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