Business Analytics End Term: 13 April 2025, Set QDD1 (January 2025 term)

Which of the following distributions is/are not symmetric in nature (choose all that are applicable)?

Which of the following is/are required to build an empirical distribution? (choose all that are applicable)

Given the Chisquare table in Figure-2, what is the conclusion from the test at a 95% significance level? (choose all that may be applicable)

Figure-2

If the attribute values in the conjoint analysis is a continuous variable and the data is collected in a pairwise order, then what approach can be used (choose all that is/are applicable)

The part worth can be defined as (choose all that may be applicable)

In Figure-3 the customer wants to decide between the products O1 & O2, and x denotes the coordinates of the ideal product. Which of the following is/are true?

There are 7 business units and you are using the DEA to compare them. You solve the LP for business unit 5. You find from the constraint expression that business unit 1 has obtained an efficiency of 1 and business unit 2 has obtained an efficiency of 1 with the optimal weights of business unit 5. Which of the following statements is correct? (choose all that is/are applicable)

In DEA, when can the Linear Programming model be used for calculating the weights of efficiency (weighted outputs/weighted inputs)? (choose all that is/are applicable)

(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.

ANOVA

Figure-1

What is the elasticity of the demand response curve at a price of Rs. 50? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.

ANOVA

Figure-1

What is the market size? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.

ANOVA

Figure-1

What is the satiating price? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.

ANOVA

Figure-1

Based on the elasticity, which of the following statements are TRUE

(The following is a purely imaginary scenario)
A demand response curve is modelled using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the subquestions.

ANOVA

Figure-1

What percentage of the total linear variability in demand is captured by this model (given in figure-1)? (Note: Enter the answer in “percentage rounded to two decimal places without the percentage sign. For example, if the answer is “1.234%”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A survey was conducted among 100 students who participated in all events at IITMs recent “Saarang” event. The students were asked to rate various aspects of their experience on a scale of “-5 to +5”, where “-5” indicates a very negative experience and “+5” indicates a very positive experience. The average student rating for each event was taken across four key parameters: “Event Ambience”, “Fairness of Event Judges”, “Event Conduct”, “Event Prize Money”. The target variable was “Event Performance” which measures the overall performance of each event. Based on the collected data, a correlation matrix as specified in Table-2 is obtained for the independent variables. With this information, answer the given sub-questions

Table-2

What would be the R-Square value if a model is built with “Event Conduct” as the independent variable and “Event Prize Money” as the dependent variable? (Note: Enter the answer in percentage rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A survey was conducted among 100 students who participated in all events at IITMs recent “Saarang” event. The students were asked to rate various aspects of their experience on a scale of “-5 to +5”, where “-5” indicates a very negative experience and “+5” indicates a very positive experience. The average student rating for each event was taken across four key parameters: “Event Ambience”, “Fairness of Event Judges”, “Event Conduct”, “Event Prize Money”. The target variable was “Event Performance” which measures the overall performance of each event. Based on the collected data, a correlation matrix as specified in Table-2 is obtained for the independent variables. With this information, answer the given sub-questions

Table-2

What would be the Adjusted R-Square value if a model is built between “Fairness of Event Judges” as the independent variable and “Event Ambience” as the dependent variable? (Note: Enter the answer in percentage rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
A survey was conducted among 100 students who participated in all events at IITMs recent “Saarang” event. The students were asked to rate various aspects of their experience on a scale of “-5 to +5”, where “-5” indicates a very negative experience and “+5” indicates a very positive experience. The average student rating for each event was taken across four key parameters: “Event Ambience”, “Fairness of Event Judges”, “Event Conduct”, “Event Prize Money”. The target variable was “Event Performance” which measures the overall performance of each event. Based on the collected data, a correlation matrix as specified in Table-2 is obtained for the independent variables. With this information, answer the given sub-questions

Table-2

What will be the percentage increase in the standard error corresponding to the beta value of “Event Ambience”, if a multiple linear regression model where both “Event Ambience” and “Event Price Money” are used as explanatory variables to predict “Event Performance”? (Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “1.234%”, then enter it as “1.23”)

There are six business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3, and you find that the efficiency is 0.8. You see that the dual variables corresponding to the constraints of business units 2 and 5 are non- zero, and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 2 and 5 are 0.5 and 0.3, respectively. Based on Table 6, answers the given sub-questions

How much will the Output 1 in HCU 3?

There are six business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 3, and you find that the efficiency is 0.8. You see that the dual variables corresponding to the constraints of business units 2 and 5 are non- zero, and the dual variables corresponding to the constraints of other units are zero. The dual variables corresponding to the constraints of business units 2 and 5 are 0.5 and 0.3, respectively. Based on Table 6, answers the given sub-questions

How much will the Output 2 in HCU 3?

(The following is a purely imaginary scenario)
Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects per ship follows a Poisson distribution. Accordingly, she collected data for the past month indicating the number of defects produced in a shift. This is provided in Table-1. Using this information answer the given sub-questions

Table-1

How many bins will be present in the frequency table for the statistical test to be conducted? (Note: Enter an INTEGER answer*)*

(The following is a purely imaginary scenario)
Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects per ship follows a Poisson distribution. Accordingly, she collected data for the past month indicating the number of defects produced in a shift. This is provided in Table-1. Using this information answer the given sub-questions

Table-1

What is the value of the computed test statistic for the statistical test that is to be performed by Ms. Teddy to very her claim? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
Ms. Teddy, is the owner of a toy manufacturing company. The company produces its iconic “Teddy Bear” toys in a facility that operates for 8 hours a day, and 20 days in month. Ms. Teddy has recently completed the BA course and wants to see if her manufacturing facility is producing toys where the defects per ship follows a Poisson distribution. Accordingly, she collected data for the past month indicating the number of defects produced in a shift. This is provided in Table-1. Using this information answer the given sub-questions

Table-1

How many degrees of freedom is present for the test statistic that is to be conducted by Ms. Teddy? (Note: Enter an INTEGER answer*)*

(The following is a purely imaginary scenario)
The relationship between Demand “D” and Selling Price “P” is given by the equation D(p) = 780 – 9*P. Then answer the given sub-questions.

If the intention is to maximize the profit, then what is the optimal selling price if the item is going to be made at Rs. 30 per unit? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
The relationship between Demand “D” and Selling Price “P” is given by the equation D(p) = 780 – 9*P. Then answer the given sub-questions.

What is the maximum profit that can be generated? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

As a Business Analyst, we are trying to find the DMUs that are efficient, where there are 2 outputs (Number of Leads & Sales) and one constant input. Based on the graph given in Figure-4 below, answer the given sub-questions

Which DMUs are in the economic frontier?

As a Business Analyst, we are trying to find the DMUs that are efficient, where there are 2 outputs (Number of Leads & Sales) and one constant input. Based on the graph given in Figure-4 below, answer the given sub-questions

Which DMUs are the reference units for DMU 2?

As a Business Analyst, we are trying to find the DMUs that are efficient, where there are 2 outputs (Number of Leads & Sales) and one constant input. Based on the graph given in Figure-4 below, answer the given sub-questions

Which DMUs are the reference units for DMU 5?

(The following is a purely imaginary scenario)
An insurance company believes that people can be divided into two classes: “Class-1: Those who are accident prone” and “Class-2: Those who are not accident prone”. The company’s statistics show that an accident-prone person will have an accident at sometime within a faxed 1-year period with probability 0.4, whereas this probability decreases to 0.2 for a person who is not accident prone. It is assumed that 30 percent of the human population is accident prone. Given this information, answer the sub-questions

What is the probability that a new policyholder will have an accident within a year of purchasing a policy? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

(The following is a purely imaginary scenario)
An insurance company believes that people can be divided into two classes: “Class-1: Those who are accident prone” and “Class-2: Those who are not accident prone”. The company’s statistics show that an accident-prone person will have an accident at sometime within a faxed 1-year period with probability 0.4, whereas this probability decreases to 0.2 for a person who is not accident prone. It is assumed that 30 percent of the human population is accident prone. Given this information, answer the sub-questions

Suppose a new policyholder has an accident within a year of purchasing a policy. Then, what is the probability that the person is accident prone? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)

A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.

Table 3: Data used for Building a Logistic Regression Model

Table 4: Estimated Coefficients from Logistic Regression

Table 5: The actual loan decisions

Based on the provided data, answer the given sub-questions

What is the precision of class 1?
(Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)

A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.

Table 3: Data used for Building a Logistic Regression Model

Table 4: Estimated Coefficients from Logistic Regression

Table 5: The actual loan decisions

Based on the provided data, answer the given sub-questions

What is the sensitivity of the model?
(Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)

A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.

Table 3: Data used for Building a Logistic Regression Model

Table 4: Estimated Coefficients from Logistic Regression

Table 5: The actual loan decisions

Based on the provided data, answer the given sub-questions

What is the specificity of the model?
(Note: Enter the answer in percentage rounded to two decimal places. For example, if the answer is “10.235%”, then enter it as “10.24”)

A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.

Table 3: Data used for Building a Logistic Regression Model

Table 4: Estimated Coefficients from Logistic Regression

Table 5: The actual loan decisions

Based on the provided data, answer the given sub-questions

What is the correct interpretation of the coefficient b1? (Choose that is/are applicable)

A fintech company wants to assess the performance of its classification model, which predicts loan approval (positive class) or rejection (negative class). Table 3 presents the data used for model development, while Table 4 provides the estimated coefficients from the logistic regression model. To validate the model, the actual loan decisions made by the fintech company are shown in Table 5.

Table 3: Data used for Building a Logistic Regression Model

Table 4: Estimated Coefficients from Logistic Regression

Table 5: The actual loan decisions

Based on the provided data, answer the given sub-questions

What is the correct interpretation of the coefficient b2? (Choose that is/are applicable)