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January 2025 term · Business Analytics · BSMS2002

Business Analytics End Term: 13 April 2025, Set QDD3 (January 2025 term)

The IIT Madras BS Business Analytics (Business Analytics) End Term paper sat on 13 Apr 2025, in the January 2025 term, set QDD3: 30 questions for 45 marks in 180 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
30
Marks
45
Duration
180 min
Numerical
21
MCQ
6
MSQ
3

Updated

Official paper: IIT M DIPLOMA AN EXAM QDD3 13 Apr 2025 · No negative marking.

Question 1

+1 markNumerical answer

Four teams (1, 2, 3 and 4) have qualified for the final of the cricket world cup. Team 1 plays Team 2. Team 3 plays Team 4. The winners then play for final. In a game between Team “i” and Team “j”, the probability of team “i” winning is given by {i /(i+j)}. Then what is the conditional probability that “Team 1” will win the World Cup? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “0.245”, enter it as “0.25”)

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Correct answer: 0.075 (accepted within ±0.015)

Question 2

+1.5 marksNumerical answer

The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25*X1 – 40.75*X2 + 3.45*X3

Given this information, answer the subquestions.

What is the R-square value of the model? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “0.456” enter it as “0.46”)

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Correct answer: 0.96 (accepted within ±0.02)

Question 3

+1.5 marksNumerical answer

The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25*X1 – 40.75*X2 + 3.45*X3

Given this information, answer the subquestions.

What is the Adjusted R-square value of the model? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “0.456” enter it as “0.46”)

Show answer

Correct answer: 0.84 (accepted within ±0.02)

Question 4

+1 markNumerical answer

The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25*X1 – 40.75*X2 + 3.45*X3

Given this information, answer the subquestions.

What is the expected power that will be consumed on a day when X1 = 25, X2 = 24 and X3 = 100? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “123.456” enter it as “123.46”)

Show answer

Correct answer: 331 (accepted within ±1)

Question 5

+1 markNumerical answer

The monthly electric power consumed by the paint shop in an automobile assembly line is thought to be related to “Average ambient temperature (X1)”, “Number of working days in the month (X2)” and “Total surface area that is painted (X3)”. The past historical data (in Table-1) was used to build a model containing these variables and the developed regression model is provided below. Electric Power Consumed = 857.75+ 4.25*X1 – 40.75*X2 + 3.45*X3

Given this information, answer the subquestions.

Say Table-2 is a correlation matrix between the different variables used to build the regression model. What is the VIF between “X1” and “X3”? (Note: Enter your answer in decimals rounded to two decimal places. For example, if your answer is “123.456” enter it as “123.46”)

Show answer

Correct answer: 8.75 (accepted within ±0.15)

Question 6

+2.5 marksNumerical answer

The BA discourse is often cluttered with queries / requests related to solutions for Past Year Question Papers (PYQP). The course instructor, Dr. Milo, had been informing that students need to put in effort to find solutions by searching the discourse. However, the results seem to disappointing. Therefore, Dr. Milo wanted to do a few basic analytics on discourse behaviour of students. Past student data was collected for the analysis.
Past data was collected for the BA terms in Jan-2022, May-2022, Sep-2022, Jan-2023, May-2023 and Sep-2023. For each term, 100 randomly selected unique student IDs were sampled. Of the 100 student IDs, 50 were “Male” and the remaining were “Female”. The learners in the discourse have either “followed the instructions” or “not followed the instructions” or “have not accessed the discourse at all” (these three are referred to as access categories). Specifically, for the sample data in the different terms (in sequence of earliest term to latest term i.e. Jan-2022 to Sep-2023) it was observed that
• For the Male sample: 20, 30, 25, 45, 25 and 35 had followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on)
• For the Male sample: 2, 10, 5, 4, 5 and 3 had not accessed discourse at all (respectively in each term i.e 2 male learners had not accessed discourse at all in Jan-2022 term and so on) • For the female sample: 15, 22, 32, 25, 20 and 20 had followed the instructions (respectively in each term i.e 15 female learners had followed the instructions in Jan-2022 term and so on) and the remaining learners in the respective female sample had not followed the instructions Moreover, Dr. Milo assumes that all learners in the “followed the instructions” category are Normally distributed with a mean of 18 and standard deviation of 4. Each BA term is taken as a sample point to identify the required counts (for this specific analysis). A binning of data is performed with the following three bins (which capture the number of learners who follow the instructions in a sample). The bins divide the solution space into equal areas.
Bin-1: [less than or equal to 35]
Bin-2: [36 to less than or equal to 50]
Bin-3: [51 to less than or equal to 100]
Given this information, answer the subquestions

If Dr. Milo is interested to see only if “Male Learners” in different “Access Categories” in different terms are independent, then what is the value of the test statistic? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)

Show answer

Correct answer: 50.5 (accepted within ±2.5)

Question 7

+2 marksNumerical answer

The BA discourse is often cluttered with queries / requests related to solutions for Past Year Question Papers (PYQP). The course instructor, Dr. Milo, had been informing that students need to put in effort to find solutions by searching the discourse. However, the results seem to disappointing. Therefore, Dr. Milo wanted to do a few basic analytics on discourse behaviour of students. Past student data was collected for the analysis.
Past data was collected for the BA terms in Jan-2022, May-2022, Sep-2022, Jan-2023, May-2023 and Sep-2023. For each term, 100 randomly selected unique student IDs were sampled. Of the 100 student IDs, 50 were “Male” and the remaining were “Female”. The learners in the discourse have either “followed the instructions” or “not followed the instructions” or “have not accessed the discourse at all” (these three are referred to as access categories). Specifically, for the sample data in the different terms (in sequence of earliest term to latest term i.e. Jan-2022 to Sep-2023) it was observed that
• For the Male sample: 20, 30, 25, 45, 25 and 35 had followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on)
• For the Male sample: 2, 10, 5, 4, 5 and 3 had not accessed discourse at all (respectively in each term i.e 2 male learners had not accessed discourse at all in Jan-2022 term and so on) • For the female sample: 15, 22, 32, 25, 20 and 20 had followed the instructions (respectively in each term i.e 15 female learners had followed the instructions in Jan-2022 term and so on) and the remaining learners in the respective female sample had not followed the instructions Moreover, Dr. Milo assumes that all learners in the “followed the instructions” category are Normally distributed with a mean of 18 and standard deviation of 4. Each BA term is taken as a sample point to identify the required counts (for this specific analysis). A binning of data is performed with the following three bins (which capture the number of learners who follow the instructions in a sample). The bins divide the solution space into equal areas.
Bin-1: [less than or equal to 35]
Bin-2: [36 to less than or equal to 50]
Bin-3: [51 to less than or equal to 100]
Given this information, answer the subquestions

What is the value of the computed test statistic which will be used to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Normally distributed? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.235”, then enter it as “1.24”)

Show answer

Correct answer: 3

Question 8

+0.5 marksNumerical answer

The BA discourse is often cluttered with queries / requests related to solutions for Past Year Question Papers (PYQP). The course instructor, Dr. Milo, had been informing that students need to put in effort to find solutions by searching the discourse. However, the results seem to disappointing. Therefore, Dr. Milo wanted to do a few basic analytics on discourse behaviour of students. Past student data was collected for the analysis.
Past data was collected for the BA terms in Jan-2022, May-2022, Sep-2022, Jan-2023, May-2023 and Sep-2023. For each term, 100 randomly selected unique student IDs were sampled. Of the 100 student IDs, 50 were “Male” and the remaining were “Female”. The learners in the discourse have either “followed the instructions” or “not followed the instructions” or “have not accessed the discourse at all” (these three are referred to as access categories). Specifically, for the sample data in the different terms (in sequence of earliest term to latest term i.e. Jan-2022 to Sep-2023) it was observed that
• For the Male sample: 20, 30, 25, 45, 25 and 35 had followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on)
• For the Male sample: 2, 10, 5, 4, 5 and 3 had not accessed discourse at all (respectively in each term i.e 2 male learners had not accessed discourse at all in Jan-2022 term and so on) • For the female sample: 15, 22, 32, 25, 20 and 20 had followed the instructions (respectively in each term i.e 15 female learners had followed the instructions in Jan-2022 term and so on) and the remaining learners in the respective female sample had not followed the instructions Moreover, Dr. Milo assumes that all learners in the “followed the instructions” category are Normally distributed with a mean of 18 and standard deviation of 4. Each BA term is taken as a sample point to identify the required counts (for this specific analysis). A binning of data is performed with the following three bins (which capture the number of learners who follow the instructions in a sample). The bins divide the solution space into equal areas.
Bin-1: [less than or equal to 35]
Bin-2: [36 to less than or equal to 50]
Bin-3: [51 to less than or equal to 100]
Given this information, answer the subquestions

How many degrees of freedom is present for the hypothesis test used to check if Dr. Milo’s assumption that all learners in the “followed the instructions” category are Normally distributed?

Show answer

Correct answer: 2

Question 9

+1 markNumerical answer

A logistic regression model is built to classify images of automobiles into three classes (“Car”, “Bus” and “Auto”). The built model gave the below confusion matrix (in Table-3) for a sample of 130 images.

Given this information answer the subquestions.

What is the accuracy of the model? (Note: Enter your answer in percentage rounded to two decimal places. Eg: If your answer is “10.256%”, then enter the answer as “10.26”)

Show answer

Correct answer: 41.5 (accepted within ±0.5)

Question 10

+1 markNumerical answer

A logistic regression model is built to classify images of automobiles into three classes (“Car”, “Bus” and “Auto”). The built model gave the below confusion matrix (in Table-3) for a sample of 130 images.

Given this information answer the subquestions.

What is the recall for the model to predict a “Car”? (Note: Enter your answer in percentage rounded to two decimal places. Eg: If your answer is “10.256%”, then enter the answer as “10.26”)

Show answer

Correct answer: 37.5 (accepted within ±0.5)

Question 11

+2 marksNumerical answer

“Milo’s Computation Solutions (MCS)” makes different types of calculators and measuring applications. Currently, the company is preparing to introduce two new calculators: “Financial Calculator” and “Technical Calculator”. Each of the new calculator has three components: “Base”, “Electronic Cartridge” and “Top”. The same base is used for both calculators. However, the “Top” and “Electronic Cartridge” are different for the two calculators. All components can be manufactured by MCS or can be purchased from outside suppliers. The cost for manufacturing a component and the cost for component purchase (referred to as purchase cost) from a supplier is presented in Table-4.

MCS has planned to make 3000 Financial Calculators and 2000 Technical Calculators. However, manufacturing capacity is limited. A total of 200 hours of regular manufacturing capacity is available and a total of 50 hours of overtime is available to MCS for making the different components. It is noted that overtime involves a premium at the additional cost of ₹9 per hour. The manufacturing times required to manufacture the different components is presented in Table-5 below. The time required to assemble the components to make any calculator is considered to be 0 (negligible).

The problem faced by MCS is to determine how many units of each component to manufacture and how many units of each component to purchase in order to minimize the total cost for satisfying the demand. The company does not hold any inventory for components and wants to ensure all demand is met.
Given this information, answer the subquestions.

How many (count of) decision variables are present in the standard form of the primal linear programming formulation of the problem?

Show answer

Correct answer: 11

Question 12

+2 marksNumerical answer

“Milo’s Computation Solutions (MCS)” makes different types of calculators and measuring applications. Currently, the company is preparing to introduce two new calculators: “Financial Calculator” and “Technical Calculator”. Each of the new calculator has three components: “Base”, “Electronic Cartridge” and “Top”. The same base is used for both calculators. However, the “Top” and “Electronic Cartridge” are different for the two calculators. All components can be manufactured by MCS or can be purchased from outside suppliers. The cost for manufacturing a component and the cost for component purchase (referred to as purchase cost) from a supplier is presented in Table-4.

MCS has planned to make 3000 Financial Calculators and 2000 Technical Calculators. However, manufacturing capacity is limited. A total of 200 hours of regular manufacturing capacity is available and a total of 50 hours of overtime is available to MCS for making the different components. It is noted that overtime involves a premium at the additional cost of ₹9 per hour. The manufacturing times required to manufacture the different components is presented in Table-5 below. The time required to assemble the components to make any calculator is considered to be 0 (negligible).

The problem faced by MCS is to determine how many units of each component to manufacture and how many units of each component to purchase in order to minimize the total cost for satisfying the demand. The company does not hold any inventory for components and wants to ensure all demand is met.
Given this information, answer the subquestions.

Excluding the non-negativity constraint, how many (count of) constraints are present in the standard form of the primal linear programming formulation of the problem?

Show answer

Correct answer: 12

Question 13

+1.5 marksNumerical answer

“Milo’s Computation Solutions (MCS)” makes different types of calculators and measuring applications. Currently, the company is preparing to introduce two new calculators: “Financial Calculator” and “Technical Calculator”. Each of the new calculator has three components: “Base”, “Electronic Cartridge” and “Top”. The same base is used for both calculators. However, the “Top” and “Electronic Cartridge” are different for the two calculators. All components can be manufactured by MCS or can be purchased from outside suppliers. The cost for manufacturing a component and the cost for component purchase (referred to as purchase cost) from a supplier is presented in Table-4.

MCS has planned to make 3000 Financial Calculators and 2000 Technical Calculators. However, manufacturing capacity is limited. A total of 200 hours of regular manufacturing capacity is available and a total of 50 hours of overtime is available to MCS for making the different components. It is noted that overtime involves a premium at the additional cost of ₹9 per hour. The manufacturing times required to manufacture the different components is presented in Table-5 below. The time required to assemble the components to make any calculator is considered to be 0 (negligible).

The problem faced by MCS is to determine how many units of each component to manufacture and how many units of each component to purchase in order to minimize the total cost for satisfying the demand. The company does not hold any inventory for components and wants to ensure all demand is met.
Given this information, answer the subquestions.

MCS has decided to manufacture 500 Bases, 666 Electronic Cartridge for Financial Calculators, and 2000 Tops for Technical Calculator. Additionally, MCS has decided to purchase 2334 Electronic Cartridge for Financial Calculators, 3000 Tops for Financial Calculators and 2000 Tops for Technical Calculators.
Then, what is the objective function value for the standard form of the primal linear programming formulation of the problem? (Note: enter your answer in “Rupees” rounded to two decimal places without the “₹” symbol. For example, if your answer is “₹123.56” then enter it as “123.56”)

Show answer

Correct answer: 17093.5 (accepted within ±0.5)

Question 14

+1.5 marksNumerical answer

“Milo’s Computation Solutions (MCS)” makes different types of calculators and measuring applications. Currently, the company is preparing to introduce two new calculators: “Financial Calculator” and “Technical Calculator”. Each of the new calculator has three components: “Base”, “Electronic Cartridge” and “Top”. The same base is used for both calculators. However, the “Top” and “Electronic Cartridge” are different for the two calculators. All components can be manufactured by MCS or can be purchased from outside suppliers. The cost for manufacturing a component and the cost for component purchase (referred to as purchase cost) from a supplier is presented in Table-4.

MCS has planned to make 3000 Financial Calculators and 2000 Technical Calculators. However, manufacturing capacity is limited. A total of 200 hours of regular manufacturing capacity is available and a total of 50 hours of overtime is available to MCS for making the different components. It is noted that overtime involves a premium at the additional cost of ₹9 per hour. The manufacturing times required to manufacture the different components is presented in Table-5 below. The time required to assemble the components to make any calculator is considered to be 0 (negligible).

The problem faced by MCS is to determine how many units of each component to manufacture and how many units of each component to purchase in order to minimize the total cost for satisfying the demand. The company does not hold any inventory for components and wants to ensure all demand is met.
Given this information, answer the subquestions.

MCS has decided to manufacture 500 Bases, 666 Electronic Cartridge for Financial Calculators, and 2000 Tops for Technical Calculator. Additionally, MCS has decided to purchase 2334 Electronic Cartridge for Financial Calculators, 3000 Tops for Financial Calculators and 2000 Tops for Technical Calculators.
Then, how many (count of ) decision variables will have a ZERO value in the Dual formulation which is based on the standard form of the primal linear programming formulation of the problem?

Show answer

Correct answer: 10

Question 15

+1 markOne correct option

We are interested in understanding the efficiency of 5 Sales Offices. Each of the Sales Offices has the same approved budget of 10,00,000. The sales achieved (in INR), and the potential sales leads (potential customers) are the two outputs. As a Business Analyst, you must formulate a DEA problem using Linear programming for the Sales Office 2. Using Table-6, answer the given sub- questions

What is the objective function?

  1. A
  2. B
  3. C
  4. D
  5. E
Show answer

Correct answer

  • A

Question 16

+1 markOne correct option

We are interested in understanding the efficiency of 5 Sales Offices. Each of the Sales Offices has the same approved budget of 10,00,000. The sales achieved (in INR), and the potential sales leads (potential customers) are the two outputs. As a Business Analyst, you must formulate a DEA problem using Linear programming for the Sales Office 2. Using Table-6, answer the given sub- questions

What is the type constraint?

  1. A
  2. B
  3. C
  4. D
Show answer

Correct answer

  • C

Question 17

+1 markOne correct option

We are interested in understanding the efficiency of 5 Sales Offices. Each of the Sales Offices has the same approved budget of 10,00,000. The sales achieved (in INR), and the potential sales leads (potential customers) are the two outputs. As a Business Analyst, you must formulate a DEA problem using Linear programming for the Sales Office 2. Using Table-6, answer the given sub- questions

Which of them is(are) constraint(s) for the LP problem pertaining to Sales Office 2?

  1. A
  2. B
  3. C
  4. D
  5. E
  6. F
  7. G
Show answer

Correct answer

  • G

Question 18

+1.5 marksNumerical answer

There are 6 business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 2 and find that the efficiency to be 0.75. You find that the dual variables corresponding to the constraints of business units 3 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 3 and 5 are 0.4 and 0.35, respectively. You are given the following Table-7 where sales and number of leads are the two outputs.

Using this information, answer the given sub-questions.

How much will the Output 1 in HCU 2?

Show answer

Correct answer: 7834 (accepted within ±1)

Question 19

+1.5 marksNumerical answer

There are 6 business units. There are two outputs and one input under consideration. You are solving the optimization problem for business unit 2 and find that the efficiency to be 0.75. You find that the dual variables corresponding to the constraints of business units 3 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 3 and 5 are 0.4 and 0.35, respectively. You are given the following Table-7 where sales and number of leads are the two outputs.

Using this information, answer the given sub-questions.

How much will the Output 2 in HCU 2?

Show answer

Correct answer: 10.95 (accepted within ±0.1)

Question 20

+1 markOne correct option

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 in Figure-1 answer the given sub-questions.

Which DMUs are in the economic frontier?

  1. A

    (3,2,1)

  2. B

    (3,2,5)

  3. C

    (4,5,2)

  4. D

    (4,5,1)

Show answer

Correct answer

  • D

    (4,5,1)

Question 21

+1 markOne correct option

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 in Figure-1 answer the given sub-questions.

Which DMUs are the reference units for DMU 2?

  1. A

    (1,4)

  2. B

    (1,5)

  3. C

    (3,5)

  4. D

    (3,1)

Show answer

Correct answer

  • B

    (1,5)

Question 22

+1 markOne correct option

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 in Figure-1 answer the given sub-questions.

Which DMUs are the reference units for DMU 3?

  1. A

    (1,4)

  2. B

    (1,3)

  3. C

    (4,5)

  4. D

    (3,4)

Show answer

Correct answer

  • C

    (4,5)

Question 23

+2 marksNumerical answer

The Table-8 contains the details of 6 customers who have applied for a bike loan. Based on the two inputs (X1 & X2), the bank must decide whether to provide the bike loan or not. In addition, the actual decision on the loan is provided in the column (Y_act).

Cust_idX1X2Y_act
131.51
2-211
3-0.5-1.50
412.50
51.652.51
6-1.20.90

Table-8

A senior business analyst used logistic regression to compute the values in Table-9. Based on the data provided answer the given sub-questions.

What is the accuracy of the logistic regression model? (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”)

Show answer

Correct answer: 50 (accepted within ±0.05)

Question 24

+2 marksNumerical answer

The Table-8 contains the details of 6 customers who have applied for a bike loan. Based on the two inputs (X1 & X2), the bank must decide whether to provide the bike loan or not. In addition, the actual decision on the loan is provided in the column (Y_act).

Cust_idX1X2Y_act
131.51
2-211
3-0.5-1.50
412.50
51.652.51
6-1.20.90

Table-8

A senior business analyst used logistic regression to compute the values in Table-9. Based on the data provided answer the given sub-questions.

What is the precision of class 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”)

Show answer

Correct answer: 50 (accepted within ±0.05)

Question 25

+2 marksNumerical answer

The Table-8 contains the details of 6 customers who have applied for a bike loan. Based on the two inputs (X1 & X2), the bank must decide whether to provide the bike loan or not. In addition, the actual decision on the loan is provided in the column (Y_act).

Cust_idX1X2Y_act
131.51
2-211
3-0.5-1.50
412.50
51.652.51
6-1.20.90

Table-8

A senior business analyst used logistic regression to compute the values in Table-9. Based on the data provided answer the given sub-questions.

What is the sensitivity? (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”)

Show answer

Correct answer: 66.65 (accepted within ±0.1)

Question 26

+2 marksNumerical answer

The Table-8 contains the details of 6 customers who have applied for a bike loan. Based on the two inputs (X1 & X2), the bank must decide whether to provide the bike loan or not. In addition, the actual decision on the loan is provided in the column (Y_act).

Cust_idX1X2Y_act
131.51
2-211
3-0.5-1.50
412.50
51.652.51
6-1.20.90

Table-8

A senior business analyst used logistic regression to compute the values in Table-9. Based on the data provided answer the given sub-questions.

What is the precision of class 0? (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”)

Show answer

Correct answer: 50 (accepted within ±0.05)

Question 27

+2 marksNumerical answer

The Table-8 contains the details of 6 customers who have applied for a bike loan. Based on the two inputs (X1 & X2), the bank must decide whether to provide the bike loan or not. In addition, the actual decision on the loan is provided in the column (Y_act).

Cust_idX1X2Y_act
131.51
2-211
3-0.5-1.50
412.50
51.652.51
6-1.20.90

Table-8

A senior business analyst used logistic regression to compute the values in Table-9. Based on the data provided answer the given sub-questions.

What is the specificity? (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”)

Show answer

Correct answer: 33.35 (accepted within ±0.05)

Question 28

+2 marksOne or more correct options

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 applicable)

Select all that apply.

  1. A

    Optimization approach

  2. B

    Regression approach

  3. C

    Statistical approach

  4. D

    None of these

Show answer

Correct answer

  • A

    Optimization approach

Question 29

+2 marksOne or more correct options

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

Select all that apply.

  1. A

    Level utilities

  2. B

    The utility for that level of attribute

  3. C

    Utility for separate parts of the products

  4. D

    None of these

Show answer

Correct answers

  • A

    Level utilities

  • B

    The utility for that level of attribute

  • C

    Utility for separate parts of the products

Question 30

+2 marksOne or more correct options

In Figure-2, the customer wants to decide between the products O1 & O2, and x denotes the coordinates of the ideal product. Which of the following are true? (choose all that is applicable)

Select all that apply.

  1. A

    Customers will prefer O1 when d2>d1

  2. B

    Customers will prefer O2 when d1<d2

  3. C

    None of these

Show answer

Correct answer

  • A

    Customers will prefer O1 when d2>d1