Business Analytics Quiz 2: 12 April 2026 (January 2026 term)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the total variability present in error terms for Model-1? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the total variability present in dependent variable? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the value for P1? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the value for P2? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the value for P3? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the value for P4? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the value for P5? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

What is the VIF between “Design” and “Delivery Time” when a regression model to predict “Price” is built using these two variables? (Note: Enter your answer in decimal values rounded to two decimal places. For example, if your answer is “1.235”, then enter the answer as “1.24”)

ABC is a company that produces three products: “Phone”, “TV”, and “Computer”. The production of each product involves four operations: “Welding”, “Cutting”, “Soldering” and “Inspection”. Table-3 provides information relating to the manufacturing requirements. The total working hours available for production in a day is 10 hours, and all units produced can be sold. Given this information, answer the given subquestions

If the objective is to maximize profit, then how many decision variables would be present based on the standard (canonical) primal formulation?

ABC is a company that produces three products: “Phone”, “TV”, and “Computer”. The production of each product involves four operations: “Welding”, “Cutting”, “Soldering” and “Inspection”. Table-3 provides information relating to the manufacturing requirements. The total working hours available for production in a day is 10 hours, and all units produced can be sold. Given this information, answer the given subquestions

Based on the standard (canonical) primal formulation, in the dual formulation how many decision variables will be present?

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.

If Dr. Burada is using the logistic regression model to identify potential people to sell snacks, then what is his accuracy for identifying the potential targets? [Note: Enter your answer in PERCENTAGE rounded to two decimal places without the percentage symbol. For example: If your answer is “1.235%” then enter it as “1.24”]

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.

If Dr. Burada is using the logistic regression model to identify potential people to sell snacks, what is the sensitivity of the built logistic model? [Note: Enter your answer in PERCENTAGE rounded to two decimal places without the percentage symbol. For example: If your answer is “1.235%” then enter it as “1.24”]

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.

If Dr. Burada is using the logistic regression model to identify potential people to sell snacks, what is the specificity of the built logistic model? [Note: Enter your answer in PERCENTAGE rounded to two decimal places without the percentage symbol. For example: If your answer is “1.235%” then enter it as “1.24”]

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.

What is the “odds” for patient “P5” based on the built regression model? [Note: Enter your answer in PERCENTAGE rounded to two decimal places without the percentage symbol. For example: If your answer is “1.235%” then enter it as “1.24”]

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.

If the threshold is decreased to 0.5, which of the following is/are true? (choose all that is applicable)

Milo Metals, a metal works shop, wants to predict the “Profit” for its products based on the expenditure spent on areas like “Quality”, “Design” and “Delivery Time”. Accordingly, data was collected for 50 different products it manufactured and sold. Milo Jr., the great grand son of Milo Sr., having joined the BS program, is interested to use regression as a tool to predict the profit. Accordingly, using the 50 sample points, he build the following FOUR models Model-1: Profit vs Quality Model-2: Profit vs Design Model-3: Profit vs Delivery Time Model-4: Profit vs Quality,Design,Delivery Time The partial regression outputs for the FOUR models are provided in Figures 1 to 4. Additionally, Table-1 provides the correlation matrix for the various columns in the data set.

Using this information, answer the given sub-questions

ABC is a company that produces three products: “Phone”, “TV”, and “Computer”. The production of each product involves four operations: “Welding”, “Cutting”, “Soldering” and “Inspection”. Table-3 provides information relating to the manufacturing requirements. The total working hours available for production in a day is 10 hours, and all units produced can be sold. Given this information, answer the given subquestions

Dr. Burada is a cardiologist. He is trying to predict if the occurrence of a “Heart Attack” can be predicted using “Age”, “Resting bpm” and “Blood Cholesterol Level”. Accordingly, the data for 200 patients was collected and a logistic regression model was built (model coefficients are provided in Table-4). As Dr. Burada’s wife was running a sweets shop, he wanted to identify patients who were not prone to “Heart Attack” (so that he can sell them more oily snack items and get a name with the Home Minister). Hence, the target is “No Heart Attack=1” and “Heart Attack=0”. Table-5 gives the list of patients visiting the sweet shop. Dr.Burada needs to spend approximately 20 mins per Non-Heart Attack patient canvasing if he wants to convince them to buy snacks. Given this information, answer the given subquestions.