Failures in aircraft gas turbine engines due to high cycle fatigue is a pervasive problem. The article"Effect of Crystal Orientation on Fatigue Failure of Single Crystal Nickel Base Turbine Blade

Superalloys" (J. of Engr. for Gas Turbines and Power, 2002:161-176) gave the accompanying data and fit a nonlinear regression function in order to predict strain amplitude from cycles to failure. Construct scatterplots of y versus x, y versus In(x), In(y) versus In(x), and 1/y .versus1/x.(use programing) b. Which transformation from part (a) does the best job of producing relationship? (use programing)an approximate linear c. Use the selected transformation to predict amplitude when cycles to failure = 5000.