Practice Partial Differential Equations - 16 | 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 a covariance of 0 indicate about the relationship between two variables?

πŸ’‘ Hint: Think about relationships in terms of direction.

Question 2

Easy

Define correlation in your own words.

πŸ’‘ Hint: Recall that it ranges from -1 to 1.

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 range of values for the correlation coefficient?

  • -1 to 1
  • 0 to 1
  • -∞ to ∞

πŸ’‘ Hint: Recall the properties of correlation.

Question 2

True or False: A covariance of 5 indicates a strong positive relationship between two variables.

  • True
  • False

πŸ’‘ Hint: Think about what covariance actually tells us.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You have two datasets of daily temperatures and ice cream sales. The temperature dataset is X = {70, 75, 80, 85} and the sales dataset is Y = {200, 220, 240, 260}. Calculate the covariance and correlation. Discuss what this indicates about the relationship.

πŸ’‘ Hint: Follow the steps of calculating means and then apply covariance and correlation formulas.

Question 2

Create a scenario where two variables might show high covariance but low correlation. Explain the conditions.

πŸ’‘ Hint: Think about how outliers can affect linear relationships.

Challenge and get performance evaluation