Practice Summary - 16.8 | 16. Covariance and Correlation | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define covariance in your own words.

πŸ’‘ Hint: Think about how variables interact.

Question 2

Easy

What does a covariance of zero imply?

πŸ’‘ Hint: Consider what happens when variables are unrelated.

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 negative covariance indicate?

  • A direct relationship
  • An inverse relationship
  • No relationship

πŸ’‘ Hint: Think about how variables may move in different directions.

Question 2

Is correlation always between -1 and 1?

  • True
  • False

πŸ’‘ Hint: Consider the definitions of correlation.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given two datasets, A = {4, 5, 6} and B = {10, 20, 30}, calculate both covariance and correlation. What insights can you derive from the values?

πŸ’‘ Hint: Remember to calculate means first and consider the relationship between data when deriving insights.

Question 2

If the correlation coefficient between two variables is -0.9, what does that imply about their relationship? Can you construct a hypothetical dataset that fits this correlation?

πŸ’‘ Hint: Try sketching out the data points and observe how they trend together!

Challenge and get performance evaluation