Amanda Chen is the manager of a subscription firm that sells products on a scheduled time basis. She would like to analyze the impact on subscription due to a recent marketing initiative where customers are offered a varying one-time percentage discount (Discount). The response variable Subscribe equals 1 if the customer subscribes and 0 otherwise. Other predictor variables used for the analysis are the customers’ age and sex. The accompanying file contains relevant data.

a. Estimate the logistic regression model. Which predictor variables are statistically significant at the 5% level?
b. Predict the subscription probabilities for 30-year-old male and female customers who receive a discount of 10%.
c. Find the corresponding subscription probabilities for 50-year-old male and female customers who receive a discount of 10%.

 

Subscribe	Discount	Age	Sex
1	5	48	Female
1	13	22	Female
1	15	51	Male
1	9	37	Female
0	7	72	Female
1	12	61	Male
0	7	37	Male
1	8	46	Male
1	3	71	Male
0	17	36	Female
0	2	27	Male
1	18	69	Male
1	12	39	Male
1	15	30	Female
1	5	69	Male
1	4	75	Female
1	6	37	Female
1	2	34	Female
1	10	61	Female
1	11	53	Female
0	5	20	Male
1	14	45	Female
1	5	31	Female
1	8	71	Male
1	14	53	Female
1	7	72	Male
1	12	73	Male
0	11	71	Female
0	10	34	Female