Practice Definition - 16.3.1 | 16. Covariance and Correlation | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

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Question 1

Easy

What does a positive covariance indicate?

💡 Hint: Think about the behavior of the variables.

Question 2

Easy

What is the range of the correlation coefficient?

💡 Hint: Consider the extremes in terms of relationships.

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Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What does a covariance of 0 indicate?

  • Positive relationship
  • Negative relationship
  • No linear relationship

💡 Hint: Consider what zero implies about direction.

Question 2

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

  • True
  • False

💡 Hint: Recall how the scale of correlation works.

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Challenge Problems

Push your limits with challenges.

Question 1

Given two random variables, X = {5, 10, 15} and Y = {1, 2, 3}, compute both the covariance and correlation and assess the strength of their relationship.

💡 Hint: Use standard deviation and means in your calculations.

Question 2

In a real-world scenario, how would you interpret a high positive correlation between temperature and ice cream sales?

💡 Hint: Consider the practical implications of seasonal businesses.

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