ECU0406 said:
is the offset yield point just a straight line with the same slope but shift .002 strain over?
Yes. The slope is Young's modulus or Elastic modulus, and represents a linear relationship between stress and strain, i.e.
[tex]\sigma\,=\,E\,\epsilon[/tex]
http://www.mse.cornell.edu/courses/engri111/modulus.htm
http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html#c2
http://www.grantadesign.com/education/sciencenote.htm
http://www.uoregon.edu/~struct/courseware/461/461_lectures/461_lecture24/461_lecture24.html
http://www.ndt-ed.org/EducationResources/CommunityCollege/Materials/Mechanical/Tensile.htm
This might be of use
http://www.shodor.org/~jingersoll/weave/tutorial/tutorial.html
One can measure up to the proportional limit.
In addition to material composition, the yield strength and to some degree, the elastic modulus is a function of the metallurgical state (dislocation density), i.e. how much residual cold-work is present. Fully recrystallized (fully annealed) materials have minimal dislocation density and have lower strength.
Accuracy depends upon one's testing and measuring systems.