Concept explainers
A marketing manager wants to predict customer with the risk of churning (switching their service contracts to another company) based on the number of calls the customer makes to the company call center and the number of visits the customer makes to the local service center. Data from a random sample of 30 customers, organized and stored in Churn show that 15 have churned (codes as 1) and 15 have not (codes as 0)
a. Develop a logistic regression model to predict the
b. Explain the meaning of the regression coefficients in the model in (a).
c. Predict the probability of churn for a customer who called the company call center 10 times and visited the local service center once.
d. At the 0.05 level of significance, is there evidence that a logistic regression model that uses the number of cells the customer makes to the company call center and the number of visits the customer makes to the local service center is a good fitting model?
e. At the 0.05 level of significance, is there evidence that the number of calls the customer makes to the company call center and the number of visits the customer makes to the local service center each make a significance contribution to the logistic model?
f. Develop a logistic regression model that includes only the number of calls the customer makes to the company call center to predict the probability of churn.
g. Develop a logistic regression model that includes only the number of visits the customer makes to the local service center to the predict churn.
h. Compare the model in (a), (f) and (g). Evaluate the differences among the models.
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
EBK BASIC BUSINESS STATISTICS
- (c) Utilize Fubini's Theorem to demonstrate that E(X)= = (1- F(x))dx.arrow_forward(c) Describe the positive and negative parts of a random variable. How is the integral defined for a general random variable using these components?arrow_forward26. (a) Provide an example where X, X but E(X,) does not converge to E(X).arrow_forward
- (b) Demonstrate that if X and Y are independent, then it follows that E(XY) E(X)E(Y);arrow_forward(d) Under what conditions do we say that a random variable X is integrable, specifically when (i) X is a non-negative random variable and (ii) when X is a general random variable?arrow_forward29. State the Borel-Cantelli Lemmas without proof. What is the primary distinction between Lemma 1 and Lemma 2?arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning