Let qty denote quantity demanded, price denote price, and suppose we estimate the model log(qty) = ß1 + B2 log(price) + e where E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we find E- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating À = B1 + 10ß2 and for this end we use the estimator âj = bị + 10b2. What is your estimate for the variance of Â? (Usually denoted by Var (Â)) O a. We do not have enough information to compute Var (À). O b. All the other options are incorrect. O c. 10 O d. 11 O e. 1 O f. 2

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.8: Fitting Exponential Models To Data
Problem 3TI: Table 6 shows the population, in thousands, of harbor seals in the Wadden Sea over the years 1997 to...
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Let qty denote quantity demanded, price denote price, and suppose we estimate the model
log(qty) = ß1 + B2 log(price)+ e
where E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we find
E- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating a = B1 + 10B2 and for this end we use the
estimator å1
= b1 + 10b2. What is your estimate for the variance of A? (Usually denoted by Var (Â))
O a.
We do not have enough information to compute Var (Â).
O b. All the other options are incorrect.
О с. 10
O d. 11
Ое. 1
O f. 2
Transcribed Image Text:Let qty denote quantity demanded, price denote price, and suppose we estimate the model log(qty) = ß1 + B2 log(price)+ e where E[e| log(price)] = 0 and we assume e is homoscedastic so Var(e| log(price)) = o². In the data, we find E- log(price,) = 0, b1 = 2.5, b2 = 0.9, Var (bj) = 1, and Var (b2) = 0.1. Suppose we are interested in estimating a = B1 + 10B2 and for this end we use the estimator å1 = b1 + 10b2. What is your estimate for the variance of A? (Usually denoted by Var (Â)) O a. We do not have enough information to compute Var (Â). O b. All the other options are incorrect. О с. 10 O d. 11 Ое. 1 O f. 2
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