Solution Found!
Refer to Exercise 30. An equation to predict the ductility
Chapter 2, Problem 31E(choose chapter or problem)
Refer to Exercise 30. An equation to predict the ductility of a titanium weld is \(Y=7.84 C+11.44 N+O-1.58Fe\), where Y is the oxygen equivalence used to predict ductility, and C, N, O, and Fe are the amounts of carbon, nitrogen, oxygen, and iron, respectively, in weight percent, in the weld. Using the means, standard deviations, and correlations presented in Exercise 30 , find \(\mu_Y\) and \(\sigma_Y\).
Questions & Answers
QUESTION:
Refer to Exercise 30. An equation to predict the ductility of a titanium weld is \(Y=7.84 C+11.44 N+O-1.58Fe\), where Y is the oxygen equivalence used to predict ductility, and C, N, O, and Fe are the amounts of carbon, nitrogen, oxygen, and iron, respectively, in weight percent, in the weld. Using the means, standard deviations, and correlations presented in Exercise 30 , find \(\mu_Y\) and \(\sigma_Y\).
ANSWER:Step 1 of 3:
Here an equation Y=7.84C+11.44N+O-1.58Fe is given which is used to predict the ductility of a titanium weld.
Here C represents the amount of carbon,N denotes the amount of nitrogen, O denotes the amount of oxygen and Fe denotes the amount of iron.
The mean of the amounts of C,N,O,Fe are also given.The values are
=0.0247
=0.0255
=0.1668
=0.0597
The standard deviations of the amounts of C,N,O,Fe are
=0.0132
=0.0194
=0.0340
=0.0413
Also,correlation coefficients are also given as,
=-0.44
=0.58
=0.39
=-0.32
=0.09
=-0.35
Using these given values we have to find the required values.