To study the relationship between advertising expenditure and sales of cigarettes, Frank Bass used the following model:

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To study the relationship between advertising expenditure and sales of cigarettes, Frank Bass used the following model:

Yı, = a1 + B1 Y31 + B2 Y41 + Y1X11 + v2X21 + u11 Y2u = a2 + B3 Y31 + B4 Y4: + Y3X11 + ¥4X21 + u2: Y31 = az + B5 Y11 +


Where

Y1 = logarithm of sales of filter cigarettes (number of cigarettes) divided by population over age 20

Y2 = logarithm of sales of nonfilter cigarettes (number of cigarettes) divided by population over age 20

Y3 = logarithm of advertising dollars for filter cigarettes divided by population over age 20 divided by advertising price index

Y4 = logarithm of advertising dollars for nonfilter cigarettes divided by population over age 20 divided by advertising price index

X1 = logarithm of disposable personal income divided by population over age 20 divided by consumer price index

X2 = logarithm of price per package of nonfilter cigarettes divided by consumer price index

a. In the preceding model the Y€™s are endogenous and the X€™s are exogenous. Why does the author assume X2 to be exogenous?

b. If X2 is treated as an endogenous variable, how would you modify the preceding model?

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Basic Econometrics

ISBN: 978-0073375779

5th edition

Authors: Damodar N. Gujrati, Dawn C. Porter

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