Hello Learners, In this Post, you will find **NPTEL Data Science for Engineers Assignment 6 Week 6 Answers 2023**. All the Answers are provided below to help the students as a reference don’t straight away look for the solutions.

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## NPTEL Data Science for Engineers Assignment 6 Answers 2023:

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#### Q.1. 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

#### Q.2. 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

#### Q.3. What is the RR-Squared value of the model obtained in Q1Q1?

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#### Q.4. What is the adjusted RR-Squared value of the model obtained in Q1Q1?

- 0.22
**0.7441**- 0.088
- 0.5

#### Q.5.** **Based on the model relationship obtained from Q1Q1, 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

#### Q.6. 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**

#### Q.7. If R2 is 0.6, SSR=200 and SST=500, then SSE is

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#### Q.8. Linear Regression is an optimization problem where we attempt to minimize

#### Q.9. The model built from the data given below is Y=0.2x+60. Find the values for R2 and Adjusted R

**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

#### Q.10. 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.

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**Disclaimer**: This answer is provided by us only for discussion purpose if any answer will be getting wrong don’t blame us. If any doubt or suggestions regarding any question kindly comment. The solution is provided by **Brokenprogrammers**. This tutorial is only for Discussion and Learning purpose.

#### About NPTEL Data Science for Engineers Course:

**Learning Objectives :**

- Introduce R as a programming language
- Introduce the mathematical foundations required for data science
- Introduce the first level data science algorithms
- Introduce a data analytics problem solving framework
- Introduce a practical capstone case study

**Learning Outcomes:**

- Describe a flow process for data science problems (Remembering)
- Classify data science problems into standard typology (Comprehension)
- Develop R codes for data science solutions (Application)
- Correlate results to the solution approach followed (Analysis)
- Assess the solution approach (Evaluation)
- Construct use cases to validate approach and identify modifications required (Creating)

##### Course Layout:

**Week 1:**Course philosophy and introduction to R**Week 2:**Linear algebra for data science- 1. Algebraic view – vectors, matrices, product of matrix & vector, rank, null space, solution of over-determined set of equations and pseudo-inverse)
- 2. Geometric view – vectors, distance, projections, eigenvalue decomposition
**Week 3:**Statistics (descriptive statistics, notion of probability, distributions, mean, variance, covariance, covariance matrix, understanding univariate and multivariate normal distributions, introduction to hypothesis testing, confidence interval for estimates)**Week 4:**Optimization**Week 5:**1. Optimization- 2. Typology of data science problems and a solution framework
**Week 6:**1. Simple linear regression and verifying assumptions used in linear regression- 2. Multivariate linear regression, model assessment, assessing importance of different variables, subset selection
**Week 7:**Classification using logistic regression**Week 8:**Classification using kNN and k-means clustering

**CRITERIA TO GET A CERTIFICATE**:

Average assignment score = 25% of average of best 8 assignments out of the total 12 assignments given in the course.

Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

**YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.**

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