## 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

**Answer:** c. Correlation coefficient

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**Q2. State whether the following statement is True or False**

**In linear regression, only the dependent variable has errors.**

a. True

b. False

**Answer:** 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

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

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

**Answer:** a & b

**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

**Answer:** b. 0.991

**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

**Answer:** 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

**Answer:** a. Sum squared error

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

**Answer:** b. False

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