Business Analytics Quiz 2: 3 December 2023 (September 2023 term)

“Latent demand” in a demand-response curve refers to?

In Multiple Linear Regression, the “R” represents ___________ (choose all those that are applicable)

For the regression output provided in Figure-1, answer the given subquestions.
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

SUMMARY OUTPUT

ANOVA

Figure-1: Partial Excel Regression Model Output

What is the value of “A1” in the figure?

For the regression output provided in Figure-1, answer the given subquestions.
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

SUMMARY OUTPUT

ANOVA

Figure-1: Partial Excel Regression Model Output

How many columns are present in the sample used to develop the regression model (all the columns present in the sample)?

For the regression output provided in Figure-1, answer the given subquestions.
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

SUMMARY OUTPUT

ANOVA

Figure-1: Partial Excel Regression Model Output

What is the value for “A3” in the figure?

For the regression output provided in Figure-1, answer the given subquestions.
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

SUMMARY OUTPUT

ANOVA

Figure-1: Partial Excel Regression Model Output

What is the value for “A4” in the figure?

For the regression output provided in Figure-1, answer the given subquestions.
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

SUMMARY OUTPUT

ANOVA

Figure-1: Partial Excel Regression Model Output

Which of the following variables are “NOT Significant”? (choose all that is applicable)

The demand for Diyas at a shop is as given in below figure. If the demand is expected to follow a constant elasticity curve, then answer the given subquestions
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

What is the elasticity of the demand response curve?

The demand for Diyas at a shop is as given in below figure. If the demand is expected to follow a constant elasticity curve, then answer the given subquestions
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

What is the demand at a price of Rs. 35?

The demand for Diyas at a shop is as given in below figure. If the demand is expected to follow a constant elasticity curve, then answer the given subquestions
Note: For all questions in this comprehension, enter your answer in decimals rounded to two decimal places. For example, if your answer is “20.3247” then enter it as “20.32”

Based on the elasticity what can be the conclusion?

The primal formulation of a production planning problem, where the objective is to maximizing the total profit is formulated as specified below.

Maximize: 225*X1 + 200*X2 + 165*X3

Subject to the following constraints

Based on the above data, answer the given subquestions.

How many constraints will be present in the dual formulation (after converting the primal to the standard form)?

The primal formulation of a production planning problem, where the objective is to maximizing the total profit is formulated as specified below.

Maximize: 225*X1 + 200*X2 + 165*X3

Subject to the following constraints

Based on the above data, answer the given subquestions.

How many decision variables will be present in the dual formulation? (after converting the primal to the standard form)

The primal formulation of a production planning problem, where the objective is to maximizing the total profit is formulated as specified below.

Maximize: 225*X1 + 200*X2 + 165*X3

Subject to the following constraints

Based on the above data, answer the given subquestions.

If the optimal solution of the primal is X1= 1701, X2= 2196, X3= 293. Then, how many decision variables will have a value of “0” in the optimal solution of the dual (after converting the primal to the standard form)?

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

If “Female” is categorised as the positive class (that is Y=1), then how many “True Positives” are present? (Note: do not convert to percentage, give actual count)

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

If “Female” is categorised as the positive class (that is Y=1), then how many “True Negatives” are present? (Note: do not convert to percentage, give actual count)

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

If “Female” is categorised as the positive class (that is Y=1), then how many “False Positives” are present? (Note: do not convert to percentage, give actual count)

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

If “Female” is categorised as the positive class (that is Y=1), then how many “False Negatives” are present? (Note: do not convert to percentage, give actual count)

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

What is the accuracy of the AI system?

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

What is the “Precision” of the AI system for predicting “Male” class?

An AI system is being tested by a bank to identify the customer traffic. It is currently implemented at a single branch. The AI system uses a logistic model in the backend and its primary purpose (at the moment) is to classify customers as “Male” or “Female”. In the past week, a total of 300 willing participants took part in a trial run of the AI system. Among the 300 participants, 129 were “Male” and the remaining were “Female”. Among the “Male” participants, the system correctly identified 120 as “Male” and the rest were identified as “Female”. Among the “Female” participants, the system correctly identified 142 as “Female” and the rest were identified as “Male”.
Then answer the given subquestions
Note: For all questions in this comprehension, where ever applicable enter your answer in PERCENTAGE rounded to two decimal places without the percentage sign. For example, if your answer is “20.324%” then enter it as “20.32”

What is the “Recall” of the AI system for predicting the “Female” class?