Practice Formula - 16.3.2 | 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

What is the formula for covariance?

πŸ’‘ Hint: Consider the expected value and average deviations.

Question 2

Easy

What does a positive covariance indicate?

πŸ’‘ Hint: Think about how two variables relate to each other.

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 is the possible range of covariance?

  • -1 to 1
  • 0 to 1
  • -∞ to ∞

πŸ’‘ Hint: Consider how variables can differ broadly.

Question 2

True or False: A correlation of 1 indicates a perfect negative correlation.

  • True
  • False

πŸ’‘ Hint: Think about the direction of the relationship.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A dataset represents heights (in cm) of individuals: {150, 160, 170, 180}. Another dataset gives weights (in kg): {50, 60, 70, 80}. Calculate the covariance and correlation.

πŸ’‘ Hint: Start by finding the averages and then apply the formulas.

Question 2

Discuss how correlation can be misleading in determining relationships, using an example from public health.

πŸ’‘ Hint: Consider third variables that could influence the correlation.

Challenge and get performance evaluation