Business Analytics End Term: 28 April 2024 (January 2024 term)

The p-value of the chi-square goodness of fit test represents _________

Swami ji (our beloved course instructor), is not convinced with this model (he is a very adamant perfectionist), and wants to improve the model further. So, he ADDS a new variable to the model and the partial excel regression output for this model is provided in Figure-2. Then,

Figure-2

Assume 5 Chai outlets having same resources in terms of budget. But, the outputs are different as mentioned below:

Which of the following Chai outlets are efficient?

In a conjoint problem with 5 products and 2 attributes, how many unique pair-wise preferences are possible?

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:

The part worth can be defined as:

Which of the following are required to build an empirical distribution?

There are 6 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 5 has obtained an efficiency of 0.7 and business unit 6 has obtained an efficiency of 1 with the optimal weights of business unit 5. Which of the following statements is correct?

Which of the following is true:

“BA Books” sells its popular book titled “PJs” to the learners in the BSc programme. The demand for the book is modelled by a curve which is captured as 23000-10*P1 (where “P1” is the selling price of the book). With this information, answer the given subquestions.

If the aim is to maximize revenue, then what should be the value of P1?
NOTE: Enter your answer to the nearest integer.

“BA Books” sells its popular book titled “PJs” to the learners in the BSc programme. The demand for the book is modelled by a curve which is captured as 23000-10*P1 (where “P1” is the selling price of the book). With this information, answer the given subquestions.

The cost of printing a book is Rs. 420. If the aim is to maximize profit, then what should be P1? NOTE: Enter your answer to the nearest integer.

Suppose a factory manufactures products on four machines A, B, C and D. Suppose 60% of total output comes from machine A, 22% of total output comes from machine B, 7% of total output comes from machine C and rest are from machine D. From the past data, it is known that 12% of products by machine A are defectives, 17% of products by machine B are defectives, 8% of products by machine C are defectives and 10% of products by machine D are defective. With this information, answer the given subquestions

Suppose a factory manufactures products on four machines A, B, C and D. Suppose 60% of total output comes from machine A, 22% of total output comes from machine B, 7% of total output comes from machine C and rest are from machine D. From the past data, it is known that 12% of products by machine A are defectives, 17% of products by machine B are defectives, 8% of products by machine C are defectives and 10% of products by machine D are defective. With this information, answer the given subquestions

What is the probability of finding a non-defective product in any given lot (a lot has products manufactured from A, B, C and D)?

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

Suppose a factory manufactures products on four machines A, B, C and D. Suppose 60% of total output comes from machine A, 22% of total output comes from machine B, 7% of total output comes from machine C and rest are from machine D. From the past data, it is known that 12% of products by machine A are defectives, 17% of products by machine B are defectives, 8% of products by machine C are defectives and 10% of products by machine D are defective. With this information, answer the given subquestions

There are 6 business units where we measure the efficiency based on two outputs and one input. You are solving the optimization problem for business unit 6 and find that the efficiency is 0.75. You find that the dual variables corresponding to the constraints of business units 4 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 4 and 5 are 0.35 and 0.4 respectively. You are given the following table where sales and loyal customers are the two outputs.

Based on the above data answer the given subquestion.

How much is the sales in BU 4?
Hint: Round-off up to 2 decimal places

There are 6 business units where we measure the efficiency based on two outputs and one input. You are solving the optimization problem for business unit 6 and find that the efficiency is 0.75. You find that the dual variables corresponding to the constraints of business units 4 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 4 and 5 are 0.35 and 0.4 respectively. You are given the following table where sales and loyal customers are the two outputs.

Based on the above data answer the given subquestion.

How many loyal customers in BU 4?
Hint: Round-off up to 2 decimal places

A demand response curve is built using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the given subquestions.

ANOVA

Figure-1

A demand response curve is built using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the given subquestions.

ANOVA

Figure-1

A demand response curve is built using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the given subquestions.

ANOVA

Figure-1

A demand response curve is built using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the given subquestions.

ANOVA

Figure-1

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

A demand response curve is built using linear regression. The partial regression output is given in Figure-1 below. Given this information, answer the given subquestions.

ANOVA

Figure-1

What percentage of the total linear variability in demand is captured by this model (given in figure-1) of the demand response curve?

(Note: Enter the answer in “%” rounded to two decimal places without the percentage sign. For example, if the answer is “1.234%”, then enter it as “1.23”)

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given subquestions

What is the expected number of “Female Learners” who should be in the “not followed the instructions” category, if Dr. Milo was interested to see if there is independence between the learners in different gender in different access categories in different terms (Hint: all the categorical variables must be taken separately).

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

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given subquestions

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given subquestions

What is the observed frequency in “Bin-1” of Dr. Milo’s analysis?

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given subquestions

What is the expected frequency in “Bin-2” of Dr. Milo’s analysis?

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given 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 “1.234”, then enter it as “1.23”)

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 later term i.e. Jan-2022 to Sep-2023) it was observed that
1. For the Male sample: 20, 30, 25, 45, 25 and 35 had not followed the instructions (respectively in each term i.e 20 male learners had followed the instructions in Jan-2022 term and so on) 2. 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) 3. 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 rest of the learners in the respective samples 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). These 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 given 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?

An automotive company wants to understand its model performance of a classification problem where the task is to classify loyal customers and those Not Loyal. Using the table given below, answer the given subquestions

What is the accuracy of the model? (in percentage)
Hint: Round your answer to two decimal places and answer them in terms of percentage. Example: If your answers is 0.735, write it as 73.50.

An automotive company wants to understand its model performance of a classification problem where the task is to classify loyal customers and those Not Loyal. Using the table given below, answer the given subquestions

What is the precision of class 1? (in percentage)
Hint: Round your answer to two decimal places and answer them in terms of percentage. Example: If your answers is 0.735, write it as 73.50.

An automotive company wants to understand its model performance of a classification problem where the task is to classify loyal customers and those Not Loyal. Using the table given below, answer the given subquestions

What is the recall of class 1? (in percentage)
Hint: Round your answer to two decimal places and answer them in terms of percentage. Example: If your answers is 0.735, write it as 73.50.

An automotive company wants to understand its model performance of a classification problem where the task is to classify loyal customers and those Not Loyal. Using the table given below, answer the given subquestions

What is the precision of class 0? (in percentage)
Hint: Round your answer to two decimal places and answer them in terms of percentage. Example: If your answers is 0.735, write it as 73.50.

An automotive company wants to understand its model performance of a classification problem where the task is to classify loyal customers and those Not Loyal. Using the table given below, answer the given subquestions

What is the recall of class 0? (in percentage)
Hint: Round your answer to two decimal places and answer them in terms of percentage. Example: If your answers is 0.735, write it as 73.50.