# Data Science for Engineers | Week 6

**Session: JULY-DEC 2023**

**Course Name: Data Science for Engineers**

**Course Link: Click Here**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q1. What is the relationship between the variables, Coupon rate and Bid price?**

Coupon rate = 99.95 + 0.24 * Bid price

Bid price = 99.95 + 0.24 * Coupon rate

Bid price = 74.7865 + 3.066 * Coupon rate

Coupon rate = 74.7865 + 3.066 * Bid price

**Answer: Coupon rate = 74.7865 + 3.066 * Bid price**

**Q2. Choose the correct option that best describes the relation between the variables Coupon rate and Bid price in the given data.**

Strong positive correlation

Weak positive correlation

Strong negative correlation

Weak negative correlation

**Answer: Strong positive correlation**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q3. What is the R-Squared value of the model obtained in Q1?**

0.2413

0.12

0.7516

0.5

**Answer: 0.7516**

**Q4. What is the adjusted R-Squared value of the model obtained in Q1?**

0.22

0.7441

0.088

0.5

**Answer: 0.7441**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q5. Based on the model relationship obtained from Q1, what is the residual error obtained while calculating the bid price of a bond with coupon rate of 3?**

10.5155

-10.5155

6.17

0

**Answer: 10.5155**

**Q6. State whether the following statement is True or False.Covariance is a better metric to analyze the association between two numerical variables than correlation.**

True

False

**Answer: False**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q7. If R2 is 0.6, SSR=200 and SST=500, then SSE is**

500

200

300

None of the above

**Answer: 300**

**Q8. Linear Regression is an optimization problem where we attempt to minimize**

SSR (residual sum-of-squares)

SST (total sum-of-squares)

SSE (sum-squared error)

Slope

**Answer: SSE (sum-squared error)**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q9. The model built from the data given below is Y=0.2x+60. Find the values for R2 and Adjusted R2.**

R2 is 0.022 and Adjusted R2 is −0.303

R2 is 0.022 and Adjusted R2 is −0.0303

R2 is 0.022 and Adjusted R2 is 0.303

None of the above

**Answer: R2 is 0.022 and Adjusted R2 is −0.303**

**Q10. Identify the parameters β0 and β1 that fits the linear model β0+β1x using the following information: total sum of squares of X,SSXX=52.53,SSXY=52.01, mean of X,X¯=4.46, and mean of Y,Y^=6.32.**

1.9 and 0.99

10.74 and 1.01

4.42 and 1.01

None of the above

**Answer: 1.9 and 0.99**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

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**Course Name: Data Science for Engineers**

**Course Link: Click Here**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

For the following set of questions 1, 2, 3, 4, 5 use the dataset bonds.txt. This dataset contains 2 variables, Coupon rate and Bid price.

**Q1. What is the relationship between the variables, Coupon rate and Bid price?**

a. Coupon rate = 99.95 + 0.24 * Bid price

b. Bid price = 99.95 + 0.24 * Coupon rate

c. Bid price = 74.7865 + 3.066 * Coupon rate

d. Coupon rate = 74.7865 + 3.066 * Bid price

**Answer: d. Coupon rate = 74.7865 + 3.066 * Bid price**

**Q2. Choose the correct option that best describes the relation between the variables Coupon rate and Bid price in the given data.**

a. Strong positive correlation

b. Weak positive correlation

c. Strong negative correlation

d. Weak negative correlation

**Answer: b. Weak positive correlation**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q3. What is the R-Squared value of the model obtained in Q1?**

a. 0.2413

b. 0.12

c. 0.7516

d. 0.5

**Answer: c. 0.7516**

**Q4. What is the adjusted R-Squared value of the model obtained in Q1?**

a. 0.22

b. 0.7441

c. 0.088

d. 0.5

**Answer: b. 0.7441**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q5. Based on the model relationship obtained from Q1, what is the residual error obtained while calculating the bid price of a bond with coupon rate of 3?**

a. 10.5155

b. -10.5155

c. 6.17

d. 0

**Answer: c. 6.17**

**Q6. State whether the following statement is True or False.Covariance is a better metric to analyze the association between two numerical variables than correlation.**

a. True

b. False

**Answer: b. False**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q7. If R2 is 0.6, SSR=200 and SST=500, then SSE is**

a. 500

b. 200

c. 300

d. None of the above

**Answer: c. 300**

**Q8. Linear Regression is an optimization problem where we attempt to minimize**

a. SSR (residual sum-of-squares)

b. SST (total sum-of-squares)

c. SSE (sum-squared error)

d. Slope

**Answer: c. SSE (sum-squared error)**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

**Q9. The model built from the data given below is Y=0.2x+60. Find the values for R2 and Adjusted R2.**

a. R2 is 0.022 and Adjusted R2 is −0.303

b. R2 is 0.022 and Adjusted R2 is −0.0303

c. R2 is 0.022 and Adjusted R2 is 0.303

d. None of the above

**Answer: d. None of the above**

**Q10. Identify the parameters β0 and β1 that fits the linear model β0+β1x using the following information: total sum of squares of X,SSXX=52.53,SSXY=52.01, mean of X, X¯=4.46, and mean of Y,Y^=6.32.**

a. 1.9 and 0.99

b. 10.74 and 1.01

c. 4.42 and 1.01

d. None of the above

**Answer: a. 1.9 and 0.99**

**These are NPTEL Data Science for Engineers Assignment 6 Answers**

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