Practice Mathematical Formula - 16.1.2 | 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 does covariance measure?

💡 Hint: Think about whether they increase or decrease together.

Question 2

Easy

What is the correlation coefficient range?

💡 Hint: Consider the extreme values it can take.

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 positive covariance indicate?

  • Variables increase together
  • Variables decrease together
  • No relationship

💡 Hint: Think about how both variables interact.

Question 2

The correlation coefficient can only be found between which two values?

  • -1 and 0
  • 0 and 1
  • -1 and 1

💡 Hint: Recall the extremes of correlation.

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Challenge Problems

Push your limits with challenges.

Question 1

Consider two datasets: A = {10, 20, 30, 40, 50} and B = {5, 15, 25, 35, 40}. Calculate the covariance and correlation. Discuss their implications.

💡 Hint: Don't forget to calculate means first and standard deviations while solving.

Question 2

You are analyzing the height and weight of a sample of plants. The covariance between height and weight is found to be positive. What does this suggest about their relationship, and how might environmental factors play a role?

💡 Hint: Consider the biological growth environments that affect both height and weight.

Challenge and get performance evaluation