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Suppose you estimate a linear regression model of ticket sales ($S$) as a function of consumers' income ($I$) in \$1,000, income squared ($I^2$), and price of the ticket ($P$):

$$S = \beta_0 + \beta_1 I + \beta_2 I^2 + \beta_3 P + \varepsilon$$

What is the marginal impact of an increase in income on ticket sales?

A

$\beta_1$

B

$\beta_2$

C

$\beta_1 + 2\beta_2 I$

D

$\beta_1 + \beta_2 I$

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