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 and 25 cents. The response variable was the number of coupons in each price discount category redeemed after one month. The data is in the picture. a. 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? b. For the quadratic model in part d, find Wald statistics for each individual model parameter. c. Find approximate 95% confidence intervals on the model parameters for the quadratic logistic regression model from part d.

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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 and 25 cents. The response variable was the number of coupons in each price discount category redeemed after one month. The data is in the picture.

a. 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?

b. For the quadratic model in part d, find Wald statistics for each individual model parameter.

c. Find approximate 95% confidence intervals on the model parameters for the quadratic logistic regression model from part d.

 

 

Discount, x
Sample Size, n
Number Redeemed
5
500
100
7
500
122
9.
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
Transcribed Image Text:Discount, x Sample Size, n Number Redeemed 5 500 100 7 500 122 9. 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
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