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; 2. Test the null hypothesis that the coefficient on the log(topps) has no effect on the log(totaait) at the 5% level.

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Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
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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;

2. Test the null hypothesis that the coefficient on the log(topps) has no effect on the log(totaait) at the 5% level. 

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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