Suppose that a bank wishes to predict whether or not an existing holder of its Silver credit card will upgrade, for an annual fee, to its Platinum credit card. To do this, the bank carries out a pilot study that randomly selects 40 of its existing Silver card holders and offers each Silver card holder an upgrade to its Platinum card. Here, the response variable Upgrade equals 1 if the Silver card holder decided to upgrade and 0 otherwise. Moreover, the predictor variable Purchases is last year's purchases (in thousands of dollars) by the Silver card holder, and the predictor variable PlatProfile equals 1 if the Silver card holder conforms to the bank's Platinum profile and 0 otherwise. Below is the classification tree they derived from the data collected in the study. Based on this classification tree, which of the following Silver card holders would the bank classify as an upgrader (assuming they classify those with an upgrade probability estimate of at least .5 as upgraders)?
A) PlatProfile(0) & Purchases = 31.50
B) PlatProfile(1)
C) Purchases = 48.25
D) Purchases = 34.99
E) PlatProfile(0) & Purchases = 34.75

Question

Suppose that a bank wishes to predict whether or not an existing holder of its Silver credit card will upgrade, for an annual fee, to its Platinum credit card. To do this, the bank carries out a pilot study that randomly selects 40 of its existing Silver card holders and offers each Silver card holder an upgrade to its Platinum card. Here, the response variable Upgrade equals 1 if the Silver card holder decided to upgrade and 0 otherwise. Moreover, the predictor variable Purchases is last year's purchases (in thousands of dollars) by the Silver card holder, and the predictor variable PlatProfile equals 1 if the Silver card holder conforms to the bank's Platinum profile and 0 otherwise. Below is the classification tree they derived from the data collected in the study.  Based on this classification tree, which of the following Silver card holders would the bank classify as an upgrader (assuming they classify those with an upgrade probability estimate of at least .5 as upgraders)?
A) PlatProfile(0) & Purchases = 31.50 
B) PlatProfile(1) 
C) Purchases = 48.25 
D) Purchases = 34.99 
E) PlatProfile(0) & Purchases = 34.75

Quizplus · Accepted Answer

No Silver card holders with PlatProfile(0) would be classified as upgraders. All Silver card holders with PlatProfile(1) would be classified as upgraders. Simply knowing the Purchases without knowing the PlatProfile would be insufficient to classify the Silver card holder as an upgrader.

Suppose That a Bank Wishes to Predict Whether or Not