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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