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A confidence interval for the unknown value of the regressor with given expectation of the regressand in model I of linear regression
Author(s) -
Kuhnert D.,
Horn M.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220407
Subject(s) - pointwise , confidence interval , mathematics , statistics , linear regression , value (mathematics) , interval (graph theory) , hyperbola , regression analysis , line (geometry) , real line , nonlinear regression , combinatorics , mathematical analysis , geometry
In the case of model I of linear regression there is derived a confidence interval for that x o where the “true line” will reach a given value y o . The interval can be given by the intersections between the line y = y o and the hyperbolas providing pointwise confidence intervals of the expectations of y.