Practice Formulae - 1.3 | Chapter 9: Linear Regression | ICSE Class 12 Mathematics
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1.3 - Formulae

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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the independent variable represent in a regression analysis?

💡 Hint: Think about what we manipulate in experiments.

Question 2

Easy

What is the purpose of the regression coefficient?

💡 Hint: What might it indicate about the relationship between x and y?

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 primary purpose of regression analysis?

  • A) To create relationships between two unrelated variables
  • B) To predict one variable based on another
  • C) To calculate means of a single dataset

💡 Hint: Remember, regression helps us understand relationships between variables.

Question 2

The regression coefficient indicates what?

  • True
  • False

💡 Hint: Think about how steep the line would be.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Using a dataset with points { (1, 1), (2, 3), (3, 5), (4, 7) }, calculate r, then derive the regression coefficients and write the regression equation of y on x.

💡 Hint: Work step-by-step: find means, calculate the correlation, then apply the coefficients.

Question 2

Analyze the impact of study hours on exam scores using linear regression to predict the score of a student who studies for 10 hours, given your regression equation is y = 5 + 1.5x.

💡 Hint: Directly plug the value into your equation to make the prediction!

Challenge and get performance evaluation