Eight oven burners are configured to provide controlled heating for metal casing configurations in an annealing process. The burner temperatures are denoted t1, t2, …, t8 in the following table. (a) Create a matrix plot and comment on any observed correlations. (b) Perform principal components analysis selecting the correlation option and select the principal components that explain at least 90% of the variation. Create a matrix plot of these principal component scores and comment on any remaining observed correlations. (c) Create an Individuals control chart for each standardized principal component scores from part (b) and determine whether all casing batches were processed in a state of control.
