# Latest NPTEL Data Science for Engineers Assignment 6 Answers 2022

## NPTEL Data Science for Engineers Assignment 6 Answers (Week 6)

Q1. Which of the following quantities can be used to make a preliminary check on the association between 2 variables?

a. Mean
b. Variance
c. Correlation coefficient
d. Standard deviation

Q2. State whether the following statement is True or False

In linear regression, only the dependent variable has errors.

a. True
b. False

Q3. 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

Q4. When a linear regression model is obtained without an intercept, the resultant β0

Q5. What is the relationship between the variables height and weight?

a. weight = -87.51667 + 3.45 * height

b. height = 3.45* weight – 87.51667

c. weight = 0.28 * height + 25.723456

d. weight = -14.74 + 37.85* height

Answer: a. weight = -87.51667 + 3.45 * height

Q6. Which of the following components are significant in determining the weight of a woman?

a. Intercept

b. Height

c. Both a and b

d. None of these

Answer: c. Both a and b

Q7. What is the R-Squared value of the model obtained in Q5?

a. 0.7417

b. 0.991

c. 0.583

d. 0.635

Q8. Based on the model relationship obtained from Q5, what is the residual error obtained while calculating the weight of a woman with height 69 cms?

a. -361.08333

b. 0.63333

c. 0.0345

d. 0.53333

Q9. Which of the following quantities cannot be used to measure the goodness of fit of a linear regression model?

a. Sum squared error

b. R-Squared

c. Pearson correlation coefficient

d. Chi-Squared test statistic

c. Pearson correlation coefficient

Q10. State whether the following statement is True or False.

Covariance is a better metric to analyze the association between two variables than correlation.

a. True

b. False

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