Book:
Proceedings of the Seventh International Conference On Teaching Statistics (ICOTS-7), Salvador, Brazil.
Editors:
Rossman, A., & Chance, B.
Type:
Category:
Year:
2006
Publisher:
Voorburg, The Netherlands: International Statistical Institute.
URL:
http://www.stat.auckland.ac.nz/~iase/publications/17/7D2_STIR.pdf
Abstract:
Many concepts in simple linear regression can be explained or illustrated on scatterplots. Similar diagrams for regression with two explanatory variables require 3-dimensional scatterplots. Appropriate colouring and dynamic rotation on a computer are needed to effectively show their 3-dimensional nature. Concepts such as multicollinearity, sequential sums of squares and interaction have no analogue in simple linear regression, so it is particularly helpful to illustrate them graphically. This paper gives several examples of concepts in multiple regression that can be illustrated well with 3-dimensional diagrams.
The CAUSE Research Group is supported in part by a member initiative grant from the American Statistical Association’s Section on Statistics and Data Science Education