The audience for a product's advertising can be divided into two segments according to the degree of exposurr.

received as a result of the advertising. These segments are groups of consumers who receive high (H) or lo\\

(L) exposure to the advertising. A company is interested in exploring whether its advertising effort affects its product's market share. Accordingly, the cornpan identifies 24 sample groups of consumers who have been exposed to its advertising, twelve groups at each exposure level. Then, the company determines its product's market share within each group.

a. Write a regression model that expresses the company's market share as a function of advertising exposure level. Define all terms in your model, and list any assumptions you make about them.

b. The data in the table below were obtained by the company. Fit the model you constructed in part a to the data.

c. Is there evidence to suggest that the firm's expected market share differs for the two levels of advertising exposure? Test using a = .05.
To determine whether extra personnel are needed for the day, the owners of a water adventure park would like to find a model that would allow them to predict the day's attendance each morning before opening based on the day of the week and weather conditions.
The model is of the form where y = Daily admission 1 if weekend XI = { (dummy variable)

These data were recorded for a random sample of 30 days, and a regression model was fitted to the data.
The least squares analysis produced the following results:
with

a. Interpret the estimated model coefficients.

b. Is there sufficient evidence to conclude that this model is useful tor the prediction of daily attendance? Use a = .05.

c. Is there sufficient evidence to conclude that the mean attendance increases on weekends? Use CY = .lo.

d. Use the model to predict the attendance on a sunny weekday with a predicted high temperature of 95•‹F.

e. Suppose the 90% prediction interval for part d is (645,1,245). Interpret this interval.