# Question

Retail interest is defined by marketers as the level of interest a consumer has in a given retail store. Marketing professors at the University of Tennessee at Chattanooga and the University of Alabama investigated the role of retailer interest in consumers’ shopping behavior (Journal of Retailing, Summer 2006). Using survey data collected on n = 375 consumers, the professors developed an interaction model for y = willingness of the consumer to shop at a retailer’s store in the future (called “repatronage intentions”) as a function of x1 = consumer satisfaction and x2 = retailer interest. The regression results are shown below.

a. Is the overall model statistically useful in predicting y? Test, using α = .05.

b. Conduct a test for interaction at a = .05.

c. Use the β-estimates to sketch the estimated relationship between repatronage intentions (y) and satisfaction (x1) when retailer interest is x2 = 1 (a low value).

d. Repeat part c for the case when retailer interest is x2 = 7 (a high value).

e. Put the two lines you sketched in parts c and d on the same graph to illustrate the nature of the interaction.

a. Is the overall model statistically useful in predicting y? Test, using α = .05.

b. Conduct a test for interaction at a = .05.

c. Use the β-estimates to sketch the estimated relationship between repatronage intentions (y) and satisfaction (x1) when retailer interest is x2 = 1 (a low value).

d. Repeat part c for the case when retailer interest is x2 = 7 (a high value).

e. Put the two lines you sketched in parts c and d on the same graph to illustrate the nature of the interaction.

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