Question

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.)

(b)

What would you predict for the Wright meter reading of a person whose mini-Wright meter reading was 595? (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 351? (Round your answer to three decimal places.)

Answer 1

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.94327945
R Square	0.88977611
Adjusted R Square	0.88242786
Standard Error	38.7857875
Observations	17
ANOVA
	df	SS	MS	F	Significance F
Regression	1	182155.1756	182155.2	121.086657	1.3995E-08
Residual	15	22565.05969	1504.337
Total	16	204720.2353
	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%
Intercept	39.3402787	38.70441586	1.016429	0.32554055	-43.1562305	121.8367879
X Variable 1	0.91734787	0.083365414	11.00394	1.3995E-08	0.739658693	1.095037039