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

Test your understanding with targeted questions related to the topic.

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.

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 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.

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Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation