$(20$ pts$)$ Data taken from a stress$-$strain test for a specimen having an original diameter of $\backslash (0\mathrm{.}5^\{\backslash$prime $\backslash$prime$\}\backslash )$ and a gage length of $\backslash (2"\backslash )$ is given in the following table. The curve is linear between the origin and the first point. Plot the diagram, and determine:

a$.$ Modulus of elasticity

b$.$ Modulus of resilience

c$.$ Modulus of toughness

d$.$ The load on the specimen that causes yielding

e$.$ The ultimate load that the specimen will support