Please use minitab to help explain.

Five variables are used to monitor a chemical process. They are X, percentage impurities, Xz temperature C, X nitrogen content (ppm), X4 oxygen content (ppm), and X5fluorine content (ppm). The initial sample of 25 observations is listed in the following table. (a) Plot the data on a matrix scatter plot and comment on any observed collinearity. (b) Perform principal components analysis in Minitab using the correlation matrix option. Using the scree plot, identify the principal components that explain most of the variation. Use these principal components. Compute the principal components scores of the major principal components and construct a matrix scatter plot of the z-scores to determine if the selected principal components appear to be randomly distributed? (c) Create standardized z-scores principal components individuals control charts for each significant principal component. Sample X1 X2 X3 X4 X5 1 84.5 6.92 4326 63.88 44.99 2 8521 16.8 4344 64.33 44.57 3 8423 738 4274 63.59 4533 4 85.74 16.8 436 64.67 43.50 5 85.53 6.82 4318 64.36 44.50 6 8549 6.71 4372 64.61 44.31 T 8429 7.07 42.83 63.66 44.58 8 8532 6.83 4341 64.37 45.74 9 85.78 6.71 4428 65.03 43.99 10 84.87 6.88 43.09 63.98 44.72 11 85.68 6.73 44 64.84 43.89 12 85.03 6.87 4378 64.41 45.08 13 84.1 176 4261 63.51 45.07 14 85.38 16.8 4348 64.43 43.92 15 84.99 6.87 43.96 64.61 43.63 16 85.77 6.88 4331 63.96 4518 17 85.66 6.84 4371 64.11 4459 18 86.17 7.35 4406 64.1 4474 19 85.07 119 43.38 64.32 44.53 20 86.02 7.01 4338 63.63 45.64 21 85.42 16.9 4242 64.63 43.58 22 84.73 6.83 43.19 63.75 46.14 23 84.79 7.15 4335 64.24 44.69 24 8498 6.89 44.13 64.54 4511 25 84.76 6.93 43.64 64.99 43.91