Abstract

This article presents a procedure for generating a sequence of data sets which will yield exactly the same fitted simple linear regression equation y = a + bx. Unless rescaled, the generated data sets will have progressively smaller variability for the two variables, and the associated response and covariate will "regress" towards their unconditional sample means. (Contains 5 figures and 1 table.)

Citation

Govindaraju, K. & Haslett, S.J. (2008). Illustration of Regression towards the Means. International Journal of Mathematical Education in Science and Technology, 39(4), 544-550. Retrieved August 7, 2024 from https://www.learntechlib.org/p/166578/.

This record was imported from ERIC on December 3, 2015. [Original Record]

ERIC is sponsored by the Institute of Education Sciences (IES) of the U.S. Department of Education.

Copyright for this record is held by the content creator. For more details see ERIC's copyright policy.

Keywords

• college mathematics
• Equations (Mathematics)
• Graphs
• Least Squares Statistics
• Mathematics Instruction
• Regression (Statistics)
• Statistics