16 - Partial Differential Equations
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What does a covariance of 0 indicate about the relationship between two variables?
💡 Hint: Think about relationships in terms of direction.
Define correlation in your own words.
💡 Hint: Recall that it ranges from -1 to 1.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the range of values for the correlation coefficient?
💡 Hint: Recall the properties of correlation.
True or False: A covariance of 5 indicates a strong positive relationship between two variables.
💡 Hint: Think about what covariance actually tells us.
1 more question available
Challenge Problems
Push your limits with advanced challenges
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.
💡 Hint: Follow the steps of calculating means and then apply covariance and correlation formulas.
Create a scenario where two variables might show high covariance but low correlation. Explain the conditions.
💡 Hint: Think about how outliers can affect linear relationships.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.