# Data Science for Engineers | Week 6

Session: JAN-APR 2024

Course Name: Data Science for Engineers

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

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

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

Q4. What is the adjusted R-Squared value of the model obtained in Q1?
0.22
0.7441
0.088
0.5

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

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

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

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

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

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

These are NPTEL Data Science for Engineers Assignment 6 Answers

Session: JULY-DEC 2023

Course Name: Data Science for Engineers

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

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

#### 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

Q4. What is the adjusted R-Squared value of the model obtained in Q1?
0.22
0.7441
0.088
0.5

#### 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

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

#### 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

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

#### 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

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

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

Course Name: Data Science for Engineers

#### 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 priceb. Bid price = 99.95 + 0.24 * Coupon ratec. Bid price = 74.7865 + 3.066 * Coupon rated. 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

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

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

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

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

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

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

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