Sun TV sells TV sets. It does not sell smart TVs so customers do not come to Sun TV if they want to purchase smart TVs. Sun TV wants to start selling smart TVs and will only sell smart TVs to customers to whom they advertise. Managers use customer information (income level, previous purchase history) to decide which customers they should target. The team needs to decide how sure it must be in predicting customer interest in a smart TV. If it is too cautious, it will choose a very high cutoff probability and only market to customers who it believes are very likely to be in the market for a smart TV. This may cause them to miss out on many customers. If they are too aggressive and choose a low cutoff probability, they may identify more individuals interested in buying smart TVs but also end up wasting marketing dollars on customers who are not interested in purchasing smart TVs. To choose a cutoff probability, the team develops the confusion matrices below for two cutoff probabilities on a validation sample of 1,000 households comprising 100 buyers and 900 non-buyers of smart TVs.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter13: Regression And Forecasting Models
Section13.4: Multiple Regression Models
Problem 17P: The owner of a restaurant in Bloomington, Indiana, has recorded sales data for the past 19 years. He...
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Sun TV sells TV sets. It does not sell smart TVs so customers do not come to Sun TV if they want to purchase
smart TVs. Sun TV wants to start selling smart TVs and will only sell smart TVs to customers to whom they
advertise. Managers use customer information (income level, previous purchase history) to decide which
customers they should target. The team needs to decide how sure it must be in predicting customer interest in
a smart TV. If it is too cautious, it will choose a very high cutoff probability and only market to customers who
it believes are very likely to be in the market for a smart TV. This may cause them to miss out on many customers.
If they are too aggressive and choose a low cutoff probability, they may identify more individuals interested in
buying smart TVs but also end up wasting marketing dollars on customers who are not interested in purchasing
smart TVs. To choose a cutoff probability, the team develops the confusion matrices below for two cutoff
probabilities on a validation sample of 1,000 households comprising 100 buyers and 900 non-buyers of smart TVs.
Required:
1. Complete the confusion matrices for the validation set.
Actual
Buyers
Outcomes Non-Buyers
Total
Actual Buyers
Outcomes Non-Buyers
Total
Confusion Matrix (0.70)
Predicted Outcomes
Buyers
20
120
Confusion Matrix (0.30)
Non-Buyers
Predicted Outcomes
Buyers
90
750
Non-Buyers
Total
100
900
1,000
Total
100
900
1,000
Transcribed Image Text:Sun TV sells TV sets. It does not sell smart TVs so customers do not come to Sun TV if they want to purchase smart TVs. Sun TV wants to start selling smart TVs and will only sell smart TVs to customers to whom they advertise. Managers use customer information (income level, previous purchase history) to decide which customers they should target. The team needs to decide how sure it must be in predicting customer interest in a smart TV. If it is too cautious, it will choose a very high cutoff probability and only market to customers who it believes are very likely to be in the market for a smart TV. This may cause them to miss out on many customers. If they are too aggressive and choose a low cutoff probability, they may identify more individuals interested in buying smart TVs but also end up wasting marketing dollars on customers who are not interested in purchasing smart TVs. To choose a cutoff probability, the team develops the confusion matrices below for two cutoff probabilities on a validation sample of 1,000 households comprising 100 buyers and 900 non-buyers of smart TVs. Required: 1. Complete the confusion matrices for the validation set. Actual Buyers Outcomes Non-Buyers Total Actual Buyers Outcomes Non-Buyers Total Confusion Matrix (0.70) Predicted Outcomes Buyers 20 120 Confusion Matrix (0.30) Non-Buyers Predicted Outcomes Buyers 90 750 Non-Buyers Total 100 900 1,000 Total 100 900 1,000
2. A team of management accountants at Sun TV estimates the payoffs from their actions. For every customer it targets,
Sun TV will spend $20 to market to that customer. For every smart TV it sells, Sun TV makes a profit of $200 after
taking into account the $20 it spends on that customer. Construct the payoff matrix and determine which cut off value
Sun TV should use.
Payoff Matrix
Predicted Outcomes
Buyers
Actual Buyers
Outcomes Non-Buyers
Calculate the payoff at each cutoff probability:
Non-Buyers
Total payoff at cutoff 0.70 =
Total payoff at cutoff 0.30 =
TV should use the cutoff value at 1 because it results in the 2
1. is
2. is
predicted payoff.
3. Are there any other factors Sun TV should consider before building such a model?
A. Sun TV should consider the potential side effects of marketing too aggressively. If the company's marketing
efforts irritate or offend interested customers, they may turn those customers away and lose sales.
B. Sun TV should consider whether or not they could make their ROC curve less predictive.
C. Sun TV should consider whether they could increase the Gini impurity of the data set used to make the
prediction models.
D. No other factors need to be considered beyond those already analyzed when producing the prediction models
discussed above.
Answer:
Transcribed Image Text:2. A team of management accountants at Sun TV estimates the payoffs from their actions. For every customer it targets, Sun TV will spend $20 to market to that customer. For every smart TV it sells, Sun TV makes a profit of $200 after taking into account the $20 it spends on that customer. Construct the payoff matrix and determine which cut off value Sun TV should use. Payoff Matrix Predicted Outcomes Buyers Actual Buyers Outcomes Non-Buyers Calculate the payoff at each cutoff probability: Non-Buyers Total payoff at cutoff 0.70 = Total payoff at cutoff 0.30 = TV should use the cutoff value at 1 because it results in the 2 1. is 2. is predicted payoff. 3. Are there any other factors Sun TV should consider before building such a model? A. Sun TV should consider the potential side effects of marketing too aggressively. If the company's marketing efforts irritate or offend interested customers, they may turn those customers away and lose sales. B. Sun TV should consider whether or not they could make their ROC curve less predictive. C. Sun TV should consider whether they could increase the Gini impurity of the data set used to make the prediction models. D. No other factors need to be considered beyond those already analyzed when producing the prediction models discussed above. Answer:
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