Practice Principle of Least Squares - 13.5.1 | 13. Errors and Adjustments | Geo Informatics
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13.5.1 - Principle of Least Squares

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What does the Principle of Least Squares aim to minimize?

💡 Hint: Think about the differences between observed and adjusted values.

Question 2

Easy

Name one assumption of the Principle of Least Squares.

💡 Hint: How do errors behave in this adjustment method?

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 does the Principle of Least Squares aim to minimize?

  • The sum of absolute values
  • The sum of squares of residuals
  • The sum of average values

💡 Hint: Think about the formula for residuals and what we are trying to achieve.

Question 2

True or False: The observations in least squares adjustment can be assumed to have equal precision.

  • True
  • False

💡 Hint: Consider how adjustments might differ based on reliability.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given the following observed values: [3, 5, 7, 8] and adjusted values: [2.5, 4.5, 6.5, 7.5], calculate the residuals and their sum of squares. Discuss how changing one of the observed values may affect the outcome.

💡 Hint: Calculate residuals individually before summing them.

Question 2

Discuss the implications of violating the assumption of random error distribution in least squares adjustment. What strategies can be employed to address systematic errors in datasets?

💡 Hint: Use examples from data collection processes to illustrate your answer.

Challenge and get performance evaluation