3. An econometrician regressed the cake sales on the cake price as well as the expenditure on advertising and its square. She obtained the following fitted regression equation, SALES = 109.719 – 7.640PRICE + 12.151ADVERT – 2.768ADVERT² Economic theory says the firm should increase advertising expenditure to the point where an extra $1 of expenditure results in an extra $1 of sales (i.e., marginal cost = marginal revenue). Choose the wrong statement. A. The term ADVERT² captures some nonlinearity. A. This is an example of the (estimated) multivariate linear regression model. B. The estimated marginal revenue is 12.151 +2(−2.768)ADVERT. C. The estimated optimal level of advertising is approximately 2.014. D. A t test can be used to test the hypothesis that advertising does not affect sales.
3. An econometrician regressed the cake sales on the cake price as well as the expenditure on advertising and its square. She obtained the following fitted regression equation, SALES = 109.719 – 7.640PRICE + 12.151ADVERT – 2.768ADVERT² Economic theory says the firm should increase advertising expenditure to the point where an extra $1 of expenditure results in an extra $1 of sales (i.e., marginal cost = marginal revenue). Choose the wrong statement. A. The term ADVERT² captures some nonlinearity. A. This is an example of the (estimated) multivariate linear regression model. B. The estimated marginal revenue is 12.151 +2(−2.768)ADVERT. C. The estimated optimal level of advertising is approximately 2.014. D. A t test can be used to test the hypothesis that advertising does not affect sales.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:3. An econometrician regressed the cake sales on the cake price as well as the expenditure
on advertising and its square. She obtained the following fitted regression equation,
SALES = 109.719 – 7.640PRICE + 12.151ADVERT - 2.768ADVERT²
Economic theory says the firm should increase advertising expenditure to the point
where an extra $1 of expenditure results in an extra $1 of sales (i.e., marginal cost =
marginal revenue). Choose the wrong statement.
A. The term ADVERT2 captures some nonlinearity.
A. This is an example of the (estimated) multivariate linear regression model.
B. The estimated marginal revenue is 12.151 +2(−2.768)ADVERT.
C. The estimated optimal level of advertising is approximately 2.014.
D. A t test can be used to test the hypothesis that advertising does not affect sales.
4. Suppose we are interested in predicting the price of house using the interior area of
house. Consider the regression model,
PRICE = B1 + B2SQFT + yıPOOL + y2(POOL × SQFT) + u
where PRICE is the market price for house in $1000, SQFT is the interior area of
house in square feet, and POOL is 1 if house has a pool and 0, otherwise. Choose
the correct statement about the regression model for houses with a pool.
A. The intercept is ß₁ and the slope is ß₂.
B. The intercept is y₁ and the slope is y2.
C. The intercept is (ß₁ + y₁) and the slope is ³₂.
D. The intercept is (ß₁ + y₁) and the slope is (ß₂ + y2).
E. None of the above is correct
5. Suppose we are interested in predicting the price of house using the interior area of
house. Consider the regression model,
PRICE =B1 + B2SQFT + yıPOOL + 72(POOL × SQFT) + u
where PRICE is the market price for house in $1000, SQFT is the interior area of
house in square feet, and POOL is 1 if house has a pool and 0, otherwise. We want to test
whether the regression model for houses with a pool is equivalent to the
regression model for houses without a pool. Choose the correct statement.
A. An appropriate null hypothesis is Ho : y₁ = 0.
B. An appropriate null hypothesis is Ho: y2 = 0.
C. An appropriate null hypothesis is Ho : Y₁ = y2 = 0.
D. The test is called as RESET.
E. None of the above is correct.
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