Indian Institute of Technology Madras
BS Degree Programme · Examination & Study Paper
Business Analytics
Quiz 2 · 3 Aug 2025 (Afternoon)
Examination Instructions & Guidelines
- Solve on notebook/paper first before checking solutions.
- MCQ: Exactly 1 option is correct. Negative marking applies.
- NAT: Numerical response. No negative marking.
- Scientific calculator allowed for all calculations.
- Official answer key is sealed at the end of this sheet.
Read the passage below, then answer Q1–Q2
Data on “Urban Population (UP)” of a country and the “GDP” of the same country are collected. The “GDP” is captured as a percentage (that is “10.5%” is captured as “10.5”) and the “UP” is captured in crores of people (that is “1,20,00,000” is captured as “1.2”). From the raw data, the analyst has identified that the relation is non-linear. Hence, the analyst applies a natural logarithmic transformation on both variables (the independent variable is “GDP” and the dependent variable is “UP”). The transformed data is modelled as a Simple Linear Regression and the developed model is presented in Figure-1. Using this information, answer the given subquestions.
Q1NAT1 Mark·Write the numberHow many degrees of freedom will be present for the “Regression” term in the ANOVA table (nomenclature as per excel)?
Your answer:- Q2NAT2 Marks·Write the number
If the GDP in 2024 was 15%, then what is the predicted “UP” (in crores of people) based on the SLR model? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer: Read the passage below, then answer Q3–Q9
Milo’s Bakery is famous for three products “BA Biscuits (BAB)”, “TA Controversy Cake (TACC)” and “Hot Argument Drink (HAD)”. Dr.Milo, the owner of the shop, is an aspiring data analyst. He has collected 5 days of data. On each day, he captures the number of each product made and total kilogram of cooking gas consumed. Using all the collected data, Dr.Milo has built a linear regression model in excel, and the partial regression output is provided in Figure-2. Using this information, answer the given subquestions.
Q3NAT0.5 Marks·Write the numberWhat is the sample size for building the model in Figure-2?
Your answer:- Q4NAT1 Mark·Write the number
What is the value of Q1?
Your answer: - Q5NAT1 Mark·Write the number
What is the value of Q2? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer: - Q6NAT1.5 Marks·Write the number
What is the value of Q3? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer: - Q7NAT1.5 Marks·Write the number
What is the value of Q4? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer: - Q8NAT2 Marks·Write the number
What is the value of Q5? (Note: Enter your answer rounded to two decimal places. For example, if your answer is “1.235” then enter it as “1.24”)
Your answer: - Q9MCQ1 Mark·Choose one option
At a 15% significance level, Dr. Milo thinks that the gas consumption at his company is affected by the number of BA, TACC and HAD that are made in a day. Then what do you conclude about Dr. Milo?
- ADr. Milo is dumb and does not know statistics.
- BDr. Milo is a genius and he is right.
- CCannot comment on Dr. Milo’s conclusion without more information
Read the passage below, then answer Q10–Q16
A matrimonial site has built a logistic classification model to predict if a person will get married or not (Married =1 and Not Married =0). The parameters used for this model are Age (in tens of years, that is, the data for a person who is “40 years old” is recorded as “4”) and Height (in feet). The built model’s coefficients are provided in Table-1. The model is being tested using matrimonial profile data available in Table-2.
Given this information, answer the given subquestions
Q10NAT1 Mark·Write the numberAt a threshold of 0.8, how many “True Positives” is the model predicting?
Your answer:- Q11NAT1 Mark·Write the number
At a threshold of 0.8, how many “True Negatives” is the model predicting?
Your answer: - Q12NAT1 Mark·Write the number
At a threshold of 0.8, how many “False Positives” is the model predicting?
Your answer: - Q13NAT1 Mark·Write the number
At a threshold of 0.8, how many “False Negatives” is the model predicting?
Your answer: - Q14NAT1 Mark·Write the number
At a threshold of 0.8, what is the ACCURACY of the model? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer: - Q15NAT1 Mark·Write the number
At a threshold of 0.8, what is the PRECISION of the model for predicting the Negative Class? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer: - Q16NAT1 Mark·Write the number
At a threshold of 0.8, what is the RECALL of the model for predicting the Positive Class? (Note: Enter the answer in “%” rounded to two decimal places without the “%” symbol. For example, if the answer is “1.234%”, then enter it as “1.23”)
Your answer: Read the passage below, then answer Q17–Q18
A demand response curve has a constant price elasticity of +0.6. If the price of the product is 100 and the corresponding demand is 200, then answer the given subquestions.
Q17NAT0.5 Marks·Write the numberWhat is the value of “Constant” (“C”) for the constant elasticity model? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer:- Q18NAT1 Mark·Write the number
What should be the price to achieve a demand of 300? (Note: Enter the answer rounded to two decimal places. For example, if the answer is “1.234”, then enter it as “1.23”)
Your answer: