Assume the only factor influencing monthly sales is price. Fit the following three curves to these data: linear (Y = a + bX), exponential (Y = abX), and multiplicative (Y = aXb). Which equation fits the data best?

A golf club manufacturer is trying to determine how the price of a set of clubs affects the demand for clubs. attachment contains the price of a set of clubs and the monthly sales.

a. Assume the only factor influencing monthly sales is price. Fit the following three curves to these data: linear (Y = a + bX), exponential (Y = abX), and multiplicative (Y = aXb). Which equation fits the data best?

b. Interpret your best-fitting equation.

c. Using the best-fitting equation, predict sales during a month in which the price is $470.