Question - Breaking strength of wood. Exercise 4.126 (page 218) gives the modulus of elasticity (MOE) and the modulus of rupture (MOR) for 32 plywood specimens. Because measuring MOR involves breaking the wood but measuring MOE does not, we would like to predict the destructive test result, MOR, using the nondestructive test result, MOE.
(a) Describe the distribution of MOR using graphical and numerical summaries. Do the same for MOE.
(b) Make a plot of the two variables. Which should be plotted on the x axis? Give a reason for your answer.
(c) Give the statistical model for this analysis, run the analysis, summarize the results, and write a short summary of your conclusions.
(d) Examine the assumptions needed for the analysis. Are you satisfied that there are no serious violations that would cause you to question the validity of your conclusions?