Eight oven burners are configured to provide controlled beating for metal casing configurations in an annealing process. The burner temperatures are denoted t, , tin 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. ts Batch ty 477 475 477 479 477 480 2 3 4 477 7 8 14 516 518 518 516 525 324 518 521 529 324 525 523 525 ti 507 512 520 520 530 528 522 527 333 330 330 327 $29 522 332 531 535 316 514 336 522 520 526 527 529 516 513 512 514 315 516 513 509 514 512 512 513 314 509 515 514 514 515 310 512 514 514 517 314 S18 527 533 537 538 542 541 537 537 528 538 541 541 542 539 545 543 542 532 532 540 S40 540 546 543 544 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 23 499 502 503 504 504 SOS 503 504 308 507 507 506 506 501 507 507 509 501 497 509 497 S01 502 S02 504 512 310 512 517 512 514 312 508 512 512 511 312 312 510 511 511 511 316 512 512 514 $14 516 312 516 ty 472 476 480 480 481 482 479 478 482 482 482 481 481 476 481 482 483 476 471 482 475 475 477 475 479 472 477 477 476 476 477 475 478 518 477 528 525 530 515 312 526 518 $18 322 523 525 477 481 476 477 478 478 480 476 481 Eight oven burners are configured to provide controlled beating for metal casing configurations in an annealing process. The burner temperatures are denoted t, , tin 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. ts Batch ty 477 475 477 479 477 480 2 3 4 477 7 8 14 516 518 518 516 525 324 518 521 529 324 525 523 525 ti 507 512 520 520 530 528 522 527 333 330 330 327 $29 522 332 531 535 316 514 336 522 520 526 527 529 516 513 512 514 315 516 513 509 514 512 512 513 314 509 515 514 514 515 310 512 514 514 517 314 S18 527 533 537 538 542 541 537 537 528 538 541 541 542 539 545 543 542 532 532 540 S40 540 546 543 544 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 23 499 502 503 504 504 SOS 503 504 308 507 507 506 506 501 507 507 509 501 497 509 497 S01 502 S02 504 512 310 512 517 512 514 312 508 512 512 511 312 312 510 511 511 511 316 512 512 514 $14 516 312 516 ty 472 476 480 480 481 482 479 478 482 482 482 481 481 476 481 482 483 476 471 482 475 475 477 475 479 472 477 477 476 476 477 475 478 518 477 528 525 530 515 312 526 518 $18 322 523 525 477 481 476 477 478 478 480 476 481