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3 cards from this section. Quick, good the night before a test.
What does the Principle of Least Squares aim to minimize?
Think about the differences between observed and adjusted values.
Name one assumption of the Principle of Least Squares.
How do errors behave in this adjustment method?
What does the Principle of Least Squares aim to minimize?
Think about the formula for residuals and what we are trying to achieve.
True or False: The observations in least squares adjustment can be assumed to have equal precision.
Consider how adjustments might differ based on reliability.
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.
Calculate residuals individually before summing them.
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?
Use examples from data collection processes to illustrate your answer.
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