The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person'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 people participated in the study, and for each person 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
The authors of the paper "Statistical Methods for Assessing Agreement Between Two Methods of Clinical Measurement"† compared two different instruments for measuring a person'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 people participated in the study, and for each person 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
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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 person'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 people participated in the study, and for each person 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 person whose mini-Wright meter reading was 528? (Round your answer to three decimal places.)
(c)
What would you predict for the Wright meter reading of a person whose mini-Wright meter reading was 344? (Round your answer to three decimal places.)
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