Composite honeycomb sandwich panels are widely used in various aerospace structural appl...

Composite honeycomb sandwich panels are widely used in various aerospace structural applications such as ribs, flaps, and rudders. The article “Core Crush Problem in Manufacturing of Composite Sandwich Structures: Mechanisms and Solutions” (Amer. Inst. of Aeronautics and Astronautics J., 2006: 901–907) fit a line to the following data on x = prepreg thickness (mm) and y = core crush (%):

a. Fit the simple linear regression model. What proportion of the observed variation in core crush can be attributed to the model relationship?

b. Construct a scatter plot. Does the plot suggest that a linear probabilistic relationship is appropriate?

c. Obtain the residuals and standardized residuals, and then construct residual plots. What do these plots suggest? What type of function should provide a better fit to the data than does a straight line?