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2 The data shown in the table below are temperature measurements made every 2 minutes on an intermediate chemical product (read down, then across from
2 The data shown in the table below are temperature measurements made every 2 minutes on an intermediate chemical product (read down, then across from left to right). Table 3. Temperature Data for Problem 2 491 526 489 502 528 482 533 496 494 513 490 533 489 492 511 495 527 494 490 512 499 520 496 489 522 499 514 514 495 523 507 517 505 498 517 503 508 511 501 522 510 515 513 518 518 509 501 508 521 505 510 497 498 535 510 510 483 500 533 508 515 491 502 524 510 513 489 506 515 487 520 496 500 529 481 518 501 495 525 483 517 496 489 526 473 526 495 509 528 479 525 488 511 534 475 519 491 508 530 484 (a) Estimate the sample autocorrelation of this process. Does this data appear to be significantly autocorrelated? (b) Construct an individuals control chart, using the moving range method to estimate the standard deviation. Does this control chart method appear to be appropriate for the data? (c) A first-order autoregressive model x = } + 4x+-1 + was fit to the temperature data, obtaining the equation xt = 67.92 + 0.8659x+-1 + &t. Set up an individuals control chart on the residuals from this model. Compare this chart to the individuals chart from part (b)
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