Question
Thomas Magnum, a financial analyst for Detroit Wheels, Inc., has been hired to analyze demand in 20 regional markets for Product Y, a major item.
Thomas Magnum, a financial analyst for Detroit Wheels, Inc., has been hired to analyze demand
in 20 regional markets for Product Y, a major item. A statistical analysis of demand in these
markets shows (standard errors in parentheses) :
Qy =26,950-400P+220Px+0.06A+0.01I
(11,000) (160) (180) (0.4) (0.05)
R2 -0.95
Standard Error of the Estimate = 1 0
Here, Qv is market demand for Product Y, P is the price of Y in dollars, A is dollars of
advertising expenditures, Px is the average price in dollars of another (unidentified)
product, and I is dollars of household income. In a typical market, the price of Y is S loo,
Px is $75, advertising expenditures are $50,000, and average family income is $80,000.
A. Use the estimated demand function to calculate the expected value ofQy in a
typical market.
8. Calculate the 95% confidence interval within which you would expect to find
actual values of sales.
C. Calculate the point price elasticity of demand, advertising point elasticity, and
cross-price point elasticity.
D. Would a reduction in price result in an increase in total revenues? Why? or why
not?
E, Which variables in this regression model are statistically significant at the 95
percent level? Show your work.
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