## NPTEL Data Science For Engineers Week 6 Assignment Answers 2024

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

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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

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3. What is the R-Squared value of the model obtained in Q1?

- 0.2413
- 0.12
- 0.7516
- 0.5

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4. What is the adjusted R-Squared value of the model obtained in Q1?

- 0.22
- 0.7441
- 0.088
- 0.5

Answer :-

5. Based on the model relationship obtained from Q1, 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

Answer :-

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

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7. If R^{2} is 0.6, SSR=200 and SST=500, then SSE is

- 500
- 200
- 300
- None of the above

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

- SSR (residual sum-of-squares)
- SST (total sum-of-squares)
- SSE (sum-squared error)
- Slope

Answer :-

9. The model built from the data given below is Y=0.2x+60. Find the values for R^{2} and Adjusted R^{2}.

- R
^{2}is 0.022 and Adjusted R^{2}is −0.303 - R
^{2}is 0.022 and Adjusted R^{2}is −0.0303 - R
^{2}is 0.022 and Adjusted R^{2}is 0.303 - None of the above

Answer :-

10. Identify the parameters β_{0} and β_{1} that fits the linear model β_{0} + β_{1} x using the following information: total sum of squares of X, SS_{XX}=52.53, SS_{XY}=52.01, mean of X, X¯=4.46, and mean of Y, Y^=6.32.

- 1.9 and 0.99
- 10.74 and 1.01
- 4.42 and 1.01
- None of the above

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