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 Mini-WrightMeter WrightMeter Subject Mini-WrightMeter WrightMeter 1 512 494 10 445 433 2 430 395 11 432 417 3 520 516 12 626 656 4 428 434 13 260 267 5 500 476 14 477 478 6 600 557 15 259 178 7 364 413 16 350 423 8 380 442 17 451 427 9 658 650 (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 three decimal places.) ŷ = + x(b) What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 551? (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 307? (Round your answer to three decimal places.)
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
Mini-
Wright
Meter
Wright
Meter
Subject
Mini-
Wright
Meter
Wright
Meter
1
512
494
10
445
433
2
430
395
11
432
417
3
520
516
12
626
656
4
428
434
13
260
267
5
500
476
14
477
478
6
600
557
15
259
178
7
364
413
16
350
423
8
380
442
17
451
427
9
658
650
(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 three decimal places.)
ŷ = +
x
(b)
What would you predict for the Wright meter reading of a subject whose mini-Wright meter reading was 551? (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 307? (Round your answer to three decimal places.)
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