Reconsider the model for the soft drink coupon data from Problem 13.4, part a. Construct plots of the deviance residuals from the model and comment on these plots. Does the model appear satisfactory from a residual analysis viewpoint?

Problem 13.4

The market research department of a soft drink manufacturer is investigating the effectiveness of a price discount coupon on the purchase of a twoliter beverage product. A sample of 5500 customers was given coupons for varying price discounts between 5 and 25 cents. The response variable was the number of coupons in each price discount category redeemed after one month. The data are shown below.

Discount, x Sample Size, n Number Redeemed, r 579 5 500 100 7 9 500 122 500 147 11 500 176 13 500 211 15 500 244 17 500 277 19 500 310 21 500 343 23 500 372 25 500 391