# NPTEL Data Science for Engineers Assignment 4 Answers 2022

NPTEL Data Science for Engineers Assignment 4 Answers 2022:- All the Answers provided below to help the students as a reference, You must submit your assignment at your own knowledge.

## What is Data Science for Engineers?

Data Science for Engineers is a fun-filled course where Domain Certification helps learners to gain expertise in a specific Area/Domain. This can be helpful for learners who wish to work in a particular area as part of their job or research or for those appearing for some competitive exam or becoming job-ready or specialising in an area of study.  Every domain will comprise Core courses and Elective courses. Once a learner completes the requisite courses per the mentioned criteria, you will receive a Domain Certificate showcasing your scores and the domain of expertise.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of the average of the best 6 assignments out of the total 8 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 THE 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.

## NPTEL Data Science for Engineers Assignment 4 Answers 2022 [July-Dec]

1. The first order necessary condition for either maxima or minima of f(x) is

a. 6x3−3x2−6x = 0
b. 12x3−6x2−6x=0
c. 12x3−9x2−6x=0
d. None of these

`Answer:-`

2. Which of the following point(s) is/are stationary point(s) of f(x)f(x)?

a. −1/2
b. 0
c. 1
d. 1/2

`Answer:-`

3. The stationary point(s) which maximize(s) the value of f(x) is

a. −1/2
b. 0
c. 1
d. 1/2

`Answer:-`

4. The stationary point(s) which minimize(s) the value of f(x)f(x) is

a. −1/2
b. 0
c. 1
d. 1/2

`Answer:-`

5. Find the minima of the function  f(x)=(x−5)2−5f(x)=(x−5)2−5 using gradient search method starting from x=−6x=−6, and learning rate  α=0.5α=0.5  and choose the correct statement from the options given below

a. Minimum is f(x)=−5f(x)=−5
b. Minimum is f(x)=−16f(x)=−16
c. x=−11x=−11 yields the minimum of the function
d. x=5x=5 yields the minimum of the function

`Answer:-`

6. The gross domestic product (GDP) of a country in billion dollars following a crisis (at t=0) is given by: G(t)=−0.196t3+3.244t2+9.179 for 0≤t≤28. When is the GDP highest in the given time period?

a. t = 4.903
b. t = 11.034
d. t = 3.269
e. t = 8.295

`Answer:-`

7. A function is defined as 7×2+70x+12. Find the value of xx at its stationary point.

a. x=10x
b. x=0.071
c. x=−350
d. x=−5

`Answer:-`

`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

## NPTEL Data Science for Engineers Assignment 4 Answers 2022 [Jan- June]

Q1. If f(x)=2x3+3x2−12x+1, then the first order necessary condition for either maxima or minima of f(x) is

👇 FOR NEXT WEEK ANSWER: ASSIGNMENT 5 👇

Q2. For the function f(x)=2x3+3x2−12x+1, which of the following points are stationary point(s) of f(x)?

Q3. For the function f(x)=2x3+3x2−12x+1, the stationary point which qualifies to maximize the value of f(x) is

Q4. For the function f(x)=2x3+3x2−12x+1, the stationary point which qualifies to minimize the value of f(x) is

Q5. Gradient descent is an iterative optimization algorithm for finding the local minimum of a function

Q6. Different types of optimization problems are based on

Q7. The maximization of a function f(x¯) is equal to the minimization of the function