Practice Correlation And Regression (3) - Statistics - Mathematics III (PDE, Probability & Statistics)
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Correlation and Regression

Practice - Correlation and Regression

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Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What does the Pearson correlation coefficient measure?

💡 Hint: Think about how two variables change in relation to one another.

Question 2 Easy

What is Spearman's rank correlation used for?

💡 Hint: Consider situations where you are ranking performances.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What range does the Pearson correlation coefficient fall into?

0 to 1
-1 to 1
-∞ to +∞

💡 Hint: Think about how correlation can be both positive and negative.

Question 2

Spearman's rank correlation can be used for which type of data?

Nominal
Ordinal
Interval

💡 Hint: Consider how you rank items.

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You survey 10 students and find their study hours and exam scores as follows:
Study Hours: [1, 2, 3, 4, 5, 1, 2, 3, 4, 5]
Scores: [55, 60, 65, 70, 75, 50, 55, 60, 65, 70]. Calculate the Pearson correlation coefficient.

💡 Hint: Apply the formula for Pearson's coefficient.

Challenge 2 Hard

In a class of 4, two students have ranks based on their exam results as follows: Student A: [1, 2, 1, 2], Student B: [2, 1, 2, 1]. Calculate Spearman's rank correlation.

💡 Hint: Calculate the differences of the ranks and apply the Spearman’s formula.

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