The Sample Coefficient of Determination in Simple Linear Regression

Authors
Ranney, G. B. Thigpen, C. C.
Citation
B. Ranney, G. et C. Thigpen, C., The Sample Coefficient of Determination in Simple Linear Regression, American statistician , 35(3), 1981, pp. 152-153
Journal title
American statistician → ACNP
ISSN journal
00031305
Volume
35
Issue
3
Year of publication
1981
Pages
152 - 153
Database
ACNP
SICI code
Abstract
The behavior of the sample coefficient of determination is examined for some arrangements of independent variable values in a simple linear regression with normally distributed error terms.Numerical values of means and standard deviations are presented that provide some insight into the influence of range and arrangement of independent variable values and sample size on the size of the sample coefficient of determination.Some asymptotic results are given.