For each of the following pairs of dependent (Y) and independent (X) variables, pick the functional form that you think is likely to be appropriate, and then explain your reasoning (assume that all other relevant independent variables are included in the equation):

a. Y = sales of shoes

X = disposable income

b. Y = the attendance at the Hollywood Bowl outdoor symphony concerts on a given night

X = whether the orchestra’s most famous conductor was scheduled to conduct that night

c. Y = aggregate consumption of goods and services in the United States

X = aggregate disposable income in the United States

d. Y = the money supply in the United States

X = the interest rate on Treasury Bills (in a demand function)

e. Y = the average production cost of a box of pasta

X = the number of boxes of pasta produced