Question

Aviation and high-altitude physiology is a specialty in the study of medicine. Let x = partial pressure of oxygen in the alveoli (air cells in the lungs) when breathing naturally available air. Let y = partial pressure when breathing pure oxygen. The (x, y) data pairs correspond to elevations from 10,000 feet to 30,000 feet in 5000 foot intervals for a random sample of volunteers. Although the medical data were collected using airplanes, they apply equally well to Mt. Everest climbers (summit 29,028 feet).

x	7.1	4.9	4.2	3.3	2.1	(units: mm Hg/10)
y	44.6	33.9	26.2	16.2	13.9	(units: mm Hg/10)

(a) Find  r. (Round r to three decimal places.)

(b) Use a 1% level of significance to test the claim that ρ > 0. (Round your answers to two decimal places.)

t =
critical t =

(c) Find S_e, a, and b. (Round your answers to four decimal places.)

Se =
a =
b =

(d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 5.0. (Round your answer to two decimal places.)
mm Hg/10

(e) Find a 90% confidence interval for y when x = 5.0. (Round your answers to one decimal place.)

lower limit	mm Hg/10
upper limit	mm Hg/10

(f) Use a 1% level of significance to test the claim that β > 0. (Round your answers to two decimal places.)

t =
critical t =

Answer 1

from the output

a)

r = 0.9773

c)

se = 0.4579

a = 0.435

b = 0.144

d)

c)

e)