Let price denote a price index for the goods sold by a restaurant, advert the amount spent on advertising, sales the sales of the restaurant, and consider the model sales =B₁ + B₂price + 3 (price x advert) + e where Ele | price, advert] = 0. We estimate this model and find b₁ = 1, b₂ = 0.5, and b3 = 0.1, and Var (b₁) Cov (b₂, b₁) Cov (b₁,b₂) Var (b₂) Cov (b3, b₁) Cov (b3, b₂) Var (b3) Let å be the estimate for the marginal impact of a price change (i.e., oprice E[sales | price, advert]) at price = 1 and advert = 10. What is Var (2)? Cov (b₁, b3) 3 5-60 0.5 Cov (b2, b3)= O a. Var (1) = 4.2 O b. Var (2) = 22.2 O c. Var (2) 20.4 = O d. Var (2) = 2.4 O e. All other options are incorrect. 0.5 0.5 0.2 0.1 0.5 0.1 0.2

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
Let price denote a price index for the goods sold by a restaurant, advert the amount spent on advertising, sales the sales of the restaurant, and consider the model
sales = B1 + Bzprice + B3(price x advert) + e
where E[e | price, advert] = 0. We estimate this model and find b = 1, b2 = 0.5, and bz = 0.1, and
Var (b1)
Cov (b1, b2) Cov (b1, b3)
3
0.5
0.5
Cov (b2, b1)
Var (b2)
Cov (b2, b3)
0.5
0.2
0.1
Cov (b3, b1) Cov (b3, b2)
Var
(b3)
0.5
0.1
0.2
Let å be the estimate for the marginal impact of a price change (i.e., ric E[sales| price, advert]) at price = 1 and advert = 10. What is Var (Â)?
O a. Var (Â) = 4.2
O b. Var (Â)
= 22.2
Var (Â) = 20.4
O d. Var (Â) = 2.4
O e. All other options are incorrect.
Transcribed Image Text:Let price denote a price index for the goods sold by a restaurant, advert the amount spent on advertising, sales the sales of the restaurant, and consider the model sales = B1 + Bzprice + B3(price x advert) + e where E[e | price, advert] = 0. We estimate this model and find b = 1, b2 = 0.5, and bz = 0.1, and Var (b1) Cov (b1, b2) Cov (b1, b3) 3 0.5 0.5 Cov (b2, b1) Var (b2) Cov (b2, b3) 0.5 0.2 0.1 Cov (b3, b1) Cov (b3, b2) Var (b3) 0.5 0.1 0.2 Let å be the estimate for the marginal impact of a price change (i.e., ric E[sales| price, advert]) at price = 1 and advert = 10. What is Var (Â)? O a. Var (Â) = 4.2 O b. Var (Â) = 22.2 Var (Â) = 20.4 O d. Var (Â) = 2.4 O e. All other options are incorrect.
Expert Solution
steps

Step by step

Solved in 3 steps with 5 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman