Practice Step-by-Step Procedure - 1.4 | Chapter 9: Linear Regression | ICSE Class 12 Mathematics
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1.4 - Step-by-Step Procedure

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the mean of the following x values: 10, 20, 30, 40.

💡 Hint: Add the values together and divide by the number of values.

Question 2

Easy

What does a correlation coefficient of r = 0 imply?

💡 Hint: Think about what a value of zero means in terms of direction.

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 first step in linear regression analysis?

  • Calculate correlation coefficient
  • Calculate means
  • Calculate regression coefficients

💡 Hint: Think about what foundational information we need before analyzing relationships.

Question 2

True or False: A correlation coefficient of -1 indicates a perfect positive relationship.

  • True
  • False

💡 Hint: Consider the meanings of positive and negative correlations.

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Challenge Problems

Push your limits with challenges.

Question 1

Given the data set x: [2, 4, 6, 8, 10] and y: [1, 3, 4, 5, 6], perform a full linear regression analysis including means, standard deviations, r, b coefficients, and the regression equation.

💡 Hint: Take it step by step and keep track of your calculations.

Question 2

Consider two variables with a correlation of -0.25. What does this suggest about the relationship? Explain as if explaining to a class.

💡 Hint: Think about what negative correlations imply when visualizing data relationships.

Challenge and get performance evaluation