The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement" compared two different instruments for measuring a subject's ability to breathe out air.† (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen subjects participated in the study, and for each subject air flow was measured once using the Wright meter and once using the mini-Wright meter. Mini- Subject Wright Meter 1 2 3 4 5 6 7 8 9 512 430 520 428 500 600 364 380 658 Wright Meter 494 395 516 434 476 557 413 442 650 Subject 10 11 12 13 14 15 16 17 Mini- Wright Meter 445 432 626 260 477 259 350 451 Wright Meter 433 417 656 267 478 178 423 427 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce different readings but there is a strong relationship between the readings, it would be possible to use a reading from the mini-Wright meter to predict the reading that the larger Wright meter would have given. Use the given data to find an equation to predict y = Wright meter reading using a reading from the mini-Wright meter. (Round your values to four decimal places.) ý = ŷ + (b) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 502? (Round your answer to three decimal places.) (c) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 398? (Round your answer to three decimal places.)

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The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement" compared two different
instruments for measuring a subject's ability to breathe out air.† (This measurement is helpful in diagnosing various lung disorders.) The two
instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen subjects participated in the study, and for
each subject air flow was measured once using the Wright meter and once using the mini-Wright meter.
Subject
1
2
3
4
5
6
7
8
9
Mini-
Wright
Meter
512
430
520
428
500
600
364
380
658
Wright
Meter
+
494
395
516
434
476
557
413
442
650
Subject
10
11
12
13
14
15
16
17
Mini-
Wright
Meter
445
432
626
260
477
259
350
451
Wright
Meter
433
417
656
267
478
178
423
427
(a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to
use. If the two types of meters produce different readings but there is a strong relationship between the readings, it would be possible to use
a reading from the mini-Wright meter to predict the reading that the larger Wright meter would have given. Use the given data to find an
equation to predict y = Wright meter reading using a reading from the mini-Wright meter. (Round your values to four decimal places.)
ŷ =
(b) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 502? (Round your answer to three
decimal places.)
(c) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 398? (Round your answer to three
decimal places.)
Transcribed Image Text:The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement" compared two different instruments for measuring a subject's ability to breathe out air.† (This measurement is helpful in diagnosing various lung disorders.) The two instruments considered were a Wright peak flow meter and a mini-Wright peak flow meter. Seventeen subjects participated in the study, and for each subject air flow was measured once using the Wright meter and once using the mini-Wright meter. Subject 1 2 3 4 5 6 7 8 9 Mini- Wright Meter 512 430 520 428 500 600 364 380 658 Wright Meter + 494 395 516 434 476 557 413 442 650 Subject 10 11 12 13 14 15 16 17 Mini- Wright Meter 445 432 626 260 477 259 350 451 Wright Meter 433 417 656 267 478 178 423 427 (a) Suppose that the Wright meter is considered to provide a better measure of air flow, but the mini-Wright meter is easier to transport and to use. If the two types of meters produce different readings but there is a strong relationship between the readings, it would be possible to use a reading from the mini-Wright meter to predict the reading that the larger Wright meter would have given. Use the given data to find an equation to predict y = Wright meter reading using a reading from the mini-Wright meter. (Round your values to four decimal places.) ŷ = (b) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 502? (Round your answer to three decimal places.) (c) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 398? (Round your answer to three decimal places.)
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