Practice Worked Example - 16.6 | 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: Remember the direction of change in variables.

Question 2

Easy

What is the range of possible correlation values?

💡 Hint: Think about the extremes of relationships.

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 correlation coefficient of 1 mean?

  • Perfect positive correlation
  • No correlation
  • Perfect negative correlation

💡 Hint: Think about how correlation ranges from -1 to 1.

Question 2

Covariance can have which values?

  • True
  • False

💡 Hint: Consider what varies between the variables.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given datasets C = {10, 20, 30, 40} and D = {15, 25, 35, 50}, calculate the covariance and explain its significance.

💡 Hint: Calculate means first and use the formula for covariance.

Question 2

For the datasets E = {1, 0, 0, 1} and F = {0, 1, 1, 0}, find the covariance. Discuss how this reflects their relationship.

💡 Hint: Pay attention to how one dataset responds to the other.

Challenge and get performance evaluation