Modelling and Prediction by James Abdey
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, Business Analytics:
Applied Modelling and Prediction
Testbank questions
,ii
,Chapter 1
Decision-making under uncertainty
1.1 Testbank questions
1. What is uncertainty?
(a) A state of clarity and predictability
(b) The lack of knowledge or information about a situation
(c) A state of absolute certainty about the future
(d) A characteristic only applicable to financial decisions
Solution:
(b)
Uncertainty refers to a lack of knowledge, information, or predictability about a particular
situation, event, or outcome. It signifies a state of doubt or ambiguity where the future or the true
nature of something is uncertain.
2. What is the difference between dependent and independent variables?
(a) Dependent variables are qualitative, while independent variables are always controllable.
(b) Dependent variables cause changes in independent variables.
(c) Independent variables cause changes in dependent variables.
(d) Dependent variables are qualitative, while independent variables are quantitative.
Solution:
(c)
Independent variables are those that impact the dependent variable, leading to a cause-and-effect
relationship. Dependent variables are the outcomes or results being measured or observed in an
experiment or study.
3. In decision-making under uncertainty, what is a dependent variable?
(a) A variable that causes changes in other variables.
(b) A variable that does not affect outcomes.
(c) A variable that remains constant in all situations.
(d) A variable being measured or observed.
Solution:
(d)
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,1. Decision-making under uncertainty
A dependent variable is the variable being measured or observed in an experiment or study. It is the
outcome or result in which we are interested in understanding, explaining, or predicting.
4. What is the main purpose of the DIKW pyramid?
(a) To model the conversion of data into wisdom.
(b) To establish cause-and-effect relationships.
(c) To convert data into information.
(d) To provide insights into uncertain situations.
Solution:
(a)
The DIKW pyramid models the hierarchical relationships between data, information, knowledge,
and wisdom. It illustrates the transformation process from data to wisdom.
5. What is a model in the context of decision-making under uncertainty?
(a) A complex representation of reality with all details considered.
(b) A prediction about the future with certainty.
(c) A deliberate simplification of reality.
(d) An analysis based on incomplete data.
Solution:
(c)
A model is a deliberate simplification of reality, where the most important features are retained,
and less important details are ignored to facilitate understanding and analysis.
6. In the standard Monty Hall problem, where there are 3 doors, what is the probability of winning
the car by switching doors after Monty has opened a door?
(a) 1/2
(b) 1/3
(c) 1/4
(d) 2/3
Solution:
(d)
The probability of winning by switching is 2/3 in the standard Monty Hall problem.
7. What is the primary goal of decision-making under uncertainty?
(a) To make informed decisions in situations with incomplete information.
(b) To eliminate all risks and uncertainties.
(c) To maximise profits and minimise losses.
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, 1.1. Testbank questions
(d) To always choose the safest option.
Solution:
(a)
The primary goal of decision-making under uncertainty is to make informed decisions in situations
with incomplete information or ambiguity.
8. What are the ‘four Ps’ ?
(a) Four predictive variables in regression analysis.
(b) Four marketing mix variables: product, price, placement, and promotion.
(c) Four popular statistical software packages.
(d) Four probability distributions commonly used in statistical modeling.
Solution:
(b)
In marketing, the ‘four Ps’ refer to the marketing mix variables: product, price, placement, and
promotion.
9. Suppose ‘customer satisfaction score’ is a dependent variable of interest. What are the likely
independent variables?
(a) Economic climate, government regulations, technological advancements
(b) Market demand, customer preferences, product features
(c) Customer age, employee satisfaction, marketing budget
(d) Service quality, price, food quality, location
Solution:
(d)
The customer satisfaction score is likely to depend on service quality, price, food quality, and
location, as these factors directly influence customers’ perception and experience.
10. For a city with a metro system, which improvement would you recommend for the network map?
(a) Display the metro map in black and white
(b) Use geographic accuracy in the map
(c) Remove station names
(d) Show all metro lines using the same colour
Solution:
(b)
The improvement would be to use geographical accuracy in the map, making it more intuitive for
commuters to navigate the system.
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, 1. Decision-making under uncertainty
11. Suppose the producers of the Monty Hall show changed the format of the game. Instead of there
being three doors, there are now n > 3 doors. The contestant chooses a door. Monty (who continues
to know where the car is) opens n − 2 doors, leaving the contestant’s original door and one other
door unopened.
(a) The optimal strategy is still to switch door.
(b) The optimal strategy is to stick with the original door.
(c) The optimal strategy depends on the value of n.
(d) The optimal strategy is to choose the door Monty opens.
Solution:
(a)
With n > 3 doors, the optimal strategy remains to switch doors, as the probability of winning by
switching is (n − 1)/n, which is greater than the probability of sticking with the original door.
12. What does the DIKW pyramid represent?
(a) Dependent, Independent, Knowledge, Wisdom
(b) Decision and Insight for Knowledge Workers
(c) Data, Information, Knowledge, Wisdom
(d) Decision-making in Knowledge Work
Solution:
(c)
The DIKW pyramid represents the hierarchy of converting data into information, knowledge, and
wisdom, indicating the progression of understanding and insights.
13. In a business context, what does ‘risk’ refer to?
(a) The certainty of an outcome
(b) The lack of uncertainty in a decision
(c) The potential for a positive outcome
(d) The potential for both positive and negative outcomes
Solution:
(d)
In a business context, risk refers to the potential for both positive and negative outcomes,
indicating uncertainty about the future results of a decision or action.
14. What is meant by the ‘four Ps’ ?
(a) Probability, Precision, Prediction, and Planning
(b) Population, Probability, Parameter, and Prediction
(c) Product, Price, Placement, and Promotion
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, 1.1. Testbank questions
(d) Planning, Preparation, Presentation, and Promotion
Solution:
(c)
The four Ps refer to the marketing mix variables: Product, Price, Placement, and Promotion, which
are essential elements in marketing strategy.
15. Which of the following is correct?
(a) Situational factors and controllable
(b) Performance metrics are independent variables
(c) Behavioural responses are dependent variables
(d) The marketing mix variables are uncontrollable
Solution:
(c)
Behavioural responses are dependent variables.
16. Which price-setting approach creates the illusion of a bargain by using prices like £39.99 instead of
£40?
(a) Odd-even pricing
(b) Prestige pricing
(c) Charm pricing
(d) Discount pricing
Solution:
(c)
Charm pricing, also known as psychological pricing, involves setting prices slightly below round
numbers, like £39.99, to make products appear more affordable and create the illusion of a bargain.
17. When determining a new product’s price, which factor should be given more weight if it has a
significant impact on the outcome of interest?
(a) Managerial insights
(b) Price granularity
(c) Qualitative analysis
(d) Relevant variables
Solution:
(d)
If a factor has a significant impact on the outcome (for example, sales revenues or total profits), it
should be given more weight in the decision-making process.
18. What is the potential implication of setting a very high price for a new product?
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, 1. Decision-making under uncertainty
(a) Increased demand from price-sensitive customers
(b) Decreased sales due to perceived overpricing
(c) Higher market share for the product
(d) Lower production costs
Solution:
(b)
Setting a very high price may lead to decreased sales, as consumers might perceive the product as
overpriced and choose more affordable alternatives.
19. In the Monty Hall problem, what is Monty Hall’s objective when he opens one of the other two
doors to reveal a sheep?
(a) To confuse the contestant
(b) To increase the chances of the contestant winning the car
(c) To decrease the chances of the contestant winning the car
(d) To show the contestant that there are sheep behind the other doors
Solution:
(b)
Monty Hall’s objective when he opens one of the other two doors to reveal a sheep is to increase the
chances of the contestant winning the car. By revealing a sheep, he effectively eliminates one losing
option, making it more likely for the contestant to switch to the door with the car.
20. When is it appropriate to choose a more complex model?
(a) When computational resources are limited
(b) When the dataset is small
(c) When the trade-off between simplicity and complexity is not critical
(d) When the model needs to be easily explainable to non-experts
Solution:
(c)
Choosing a more complex model may be appropriate when the trade-off between simplicity and
complexity is not critical, and the potential benefits of increased accuracy outweigh the challenges
of model interpretability and overfitting.
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