Solved: The market research department of a soft drink
Chapter , Problem 92E(choose chapter or problem)
The market research department of a soft drink manufacturer is investigating the effectiveness of a price discount coupon on the purchase of a two-liter beverage product. A sample of 5500 customers was given coupons for varying price discounts between
\(5 \text { and } 25 \text { cents }\). The response variable was the number of coupons in each price discount category redeemed after one month. The data follow in Table E11-15.
(a) Fit a logistic regression model to the data. Use a simple linear regression model as the structure for the linear predictor.
(b) Is the logistic regression model in part (a) adequate?
(c) Draw a graph of the data and the fitted logistic regression model.
(d) Expand the linear predictor to include a quadratic term. Is there any evidence that this quadratic term is required in the model?
(e) Draw a graph of this new model on the same plot that you prepared in part (c). Does the expanded model visually provide a better fit to the data than the original model from part (a)?
Equation Transcription:
Text Transcription:
5 and 25 cents
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