Residual Model Diagnostics Normal Plot of Residuals ICart of Residuals 20 40 15 30 10 20 10 -10 20 -30 25 40 10 20 Normal Score Observaion Number Hstogram of Residuals Residuals vs. Fits 20 15 10 5 -10 -15 20 25 20 -10 10 20 40 50 60 70 80 90 Residual Fit a) Interpret the given output. b) Test for the Lack-of-Fit. c) Find and interpret a 95% confidence interval for the v-intercept. jenpisoy Residual Aouanbasy jenpisoy
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- compute the least-squares regression line for predicting diatolic pressure (y)from systolic pressure(x) find the P-value Interpret the P-value state a conclusionUsing General Linear TestThe number of inches that a recently built structure sits on the ground is given by (image) where x is its age in months. a) Create a scatter plot to verify that it is reasonable to assume that the regression of Y on x is linear.b) Fit a straight line using the method of least squares. c) Use the least squares method to estimate alpha.
- BivariateAviation 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 5.0 4.2 3.3 2.1 (units: mm Hg/10) y 43.8 32.9 26.2 16.2 13.9 (units: mm Hg/10) (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 2.5. (Use 2 decimal places.)(e) Find a 99% confidence interval for y when x = 2.5. (Use 1 decimal place.) lower limit upper limit (f) Use a 5% level of significance to test the claim that β > 0. (Use 2 decimal places.) t critical t (g) Find a 99%…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 5.0 4.2 3.3 2.1 (units: mm Hg/10) y 43.8 32.9 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Σx = 21.7, Σy = 133, Σx2 = 108.35, Σy2 = 4142.94, Σxy = 668.17, and r ≈ 0.982. Σx Σy Σx2 Σy2 Σxy r (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical t (c) Verify that Se ≈ 2.6746, a ≈ -1.252, and b ≈ 6.418. Se a b
- 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 6.7 4.5 4.2 3.3 2.1 (units: mm Hg/10) y 44.8 34.5 26.2 16.2 13.9 (units: mm Hg/10) (b) Use a 1% level of significance to test the claim that ? > 0. (Use 2 decimal places.) t critical t (d) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 5.5. (Use 2 decimal places.)(e) Find a 95% confidence interval for y when x = 5.5. (Use 1 decimal place.) lower limit upper limit (f) Use a 1% level of…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 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (g) Find a 90% confidence interval for β and interpret its meaning. (Use 2 decimal places.) lower limit upper limitAviation 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 6.7 4.9 4.2 3.3 2.1 (units: mm Hg/10)y 42.6 31.5 26.2 16.2 13.9 (units: mm Hg/10) a) Use a 1% level of significance to test the claim that ? > 0. (Use 2 decimal places.)t =____critical t=____ b) Find the predicted pressure when breathing pure oxygen if the pressure from breathing available air is x = 3.9. (Use 2 decimal places.) c) Find a 90% confidence interval for y when x = 3.9. (Use 1 decimal place.)lower limit upper limit
- 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 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Σx = 21.8, Σy = 132.2, Σx2 = 108.64, Σy2 = 4062.1, Σxy = 662.8, and r ≈ 0.985. Σx Σy Σx2 Σy2 Σxy r (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical tAviation 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 6.8 5.5 4.2 3.3 2.1 (units: mm Hg/10) y 44.2 33.9 26.2 16.2 13.9 (units: mm Hg/10) (a) Verify that Σx = 21.9, Σy = 134.4, Σx2 = 109.43, Σy2 = 4244.94, Σxy = 679.7, and r ≈ 0.985. Σx Σy Σx2 Σy2 Σxy r (b) Use a 10% level of significance to test the claim that ? > 0. (Use 2 decimal places.) t critical tAviation 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 6.9 5.3 4.2 3.3 2.1 (units: mm Hg/10) y 42.4 33.5 26.2 16.2 13.9 (units: mm Hg/10) Σx = 21.8, Σy = 132.2, Σx2 = 108.64, Σy2 = 4062.1, Σxy = 662.8, and r ≈ 0.985. (b) Use a 5% level of significance to test the claim that ρ > 0. (Use 2 decimal places.) t critical t (e) Find a 90% confidence interval for y when x = 3.3. (Use 1 decimal place.) lower limit upper limit (f) Use a 5% level of significance to test the claim that β > 0. (Use 2…