We appreciate your visit to What is the average of the residuals regardless of the shape of the scatter diagram. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Final answer:
The average of the residuals, the differences between the observed and predicted values in a dataset, is always zero, regardless of the shape of the scatter diagram. This property derives from the method of least squares used in linear regression models.
Explanation:
In statistics, when we speak of residuals, we refer to the difference between the observed value and the predicted value for a specific observation in a dataset. When we plot the residuals in a scatter diagram, regardless of its shape, the average of the residuals is always zero. This fact, defined as a property of the residuals in linear regression models, is due to the method of least squares, which minimizes the sum of squared residuals. This in turn ensures that the sum, and consequently the average, of the residuals is zero.
Learn more about Residuals here:
https://brainly.com/question/31973993
#SPJ11
Thanks for taking the time to read What is the average of the residuals regardless of the shape of the scatter diagram. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
