Correlation and Covariance
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Mathematics & Statistics
Probability
Interview questions on Probability.
20 questions
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Correlation and Covariance
Q2. What is the co-variance of two independent random variables?
Correlation and Covariance
Q3. Are independence and zero covariance the same? Give a counterexample if not.
Correlation and Covariance
Q4. Suppose we have a random variable X supported on $[0,1]$ from which we can draw samples. How can we come up with an unbiased estimate of the median of X?
Correlation and Covariance
Q5. Define variance and co-variance. What is the difference between them?
Correlation and Covariance
Q6. How does sign of covariance decides the direction of relationship between two random variables?
Correlation and Covariance
Q7. Suppose you are conducting an experiment for studying behavior of two random variables $X$ and $Y$ and you found out $Cov(X, Y) = 100$. Does it mean they are strongly correlated?
Correlation and Covariance
Q8. Prove that $Cov(X, X) = Var(X)$.
Correlation and Covariance
Q9. Prove that $Cov(X, Y) = E(XY) - E(X)E(Y)$.
Correlation and Covariance
Q10. What will be the value of $Cov(X, c) where$ X $is a random variable and$ c$ is a constant value?
- 2.3.4.
Correlation and Covariance
Q11. Write down some properties of Covariance.
Correlation and Covariance
Q12. Define correlation. How is it related to Covariance?
Correlation and Covariance
Q13. What are the benefits of using correlation over covariance?
Correlation and Covariance
Q14. If you are analyzing two random variables $X$ and $Y$ and find that the correlation $\rho(X, Y) = 0$, what does this indicate?
Correlation and Covariance
Q15. Can the correlation be greater than 1? Why or why not? How to interpret a correlation value of 0.3?
Correlation and Covariance
Q16. What is the Pearson correlation coefficient, and how is it calculated?
Correlation and Covariance
Q17. What is the significance of a correlation coefficient value of 0?
Correlation and Covariance
Q18. What is the difference between positive and negative correlation?
Correlation and Covariance
Q19. What are some limitations of the Pearson correlation coefficient?
Correlation and Covariance