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 for 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 for predicting y? Test using α = .05.
b. Conduct a test for interaction at α = .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 when retailer interest is x2 = 7 (a high value).
e. Sketch the two lines, parts c and d, on the same graph to illustrate the nature of the interaction.

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Variable Satisfaction (x) Retailer interest () 044 0.85 10 Interaction () p t-value p-value 426 733 <.01 157 3.09 01 R-# .65 F 226.35, p-value < .001