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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
What does a covariance of zero imply about two random variables?
💡 Hint: Think about their linear relationship.
Question 2
Easy
Write the formula for covariance.
💡 Hint: Consider what the expected values imply.
Practice 4 more questions and get performance evaluation
Interactive Quizzes
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What does a covariance of zero indicate about two random variables?
- They are independent
- They are uncorrelated
- They are dependent
💡 Hint: Focus on their relationship in terms of correlation.
Question 2
If Cov(X, Y) > 0, what does this signify?
- True
- False
💡 Hint: Consider how the variables influence each other.
Solve 2 more questions and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Given the dataset X = [2, 4, 6] and Y = [1, 3, 5], calculate Cov(X, Y) and discuss its implications.
💡 Hint: Use the covariance formula and fill in steps for clarity.
Question 2
Discuss how covariance changes if we double the values of variable Y in the previous challenge problem. Calculate the new covariance.
💡 Hint: Calculate each step and see how the multiplication affects the covariance.
Challenge and get performance evaluation