Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below: x = Temperature (°C) 1100 1200 1300 1100 1500 1200 1300 30.8 19.2 6 13.5 11.4 7.7 3.6 y = Porosity (%) (a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slope in the simple linear regression model. Find an estimate of o². Bo= (Round your answer to 3 decimal places.) B₁ = (Round your answer to 5 decimal places.) (Round your answer to 2 decimal places.) i (b) Estimate the mean porosity for a temperature of 1409 °C. ŷ = i (Round your answer to 2 decimal places.)

Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below: x = Temperature (°C) 1100 1200 1300 1100 1500 1200 1300 30.8 19.2 6 13.5 11.4 7.7 3.6 y = Porosity (%) (a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slope in the simple linear regression model. Find an estimate of o². Bo= (Round your answer to 3 decimal places.) B₁ = (Round your answer to 5 decimal places.) (Round your answer to 2 decimal places.) i (b) Estimate the mean porosity for a temperature of 1409 °C. ŷ = i (Round your answer to 2 decimal places.)

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section: Chapter Questions

Problem 10T: Olympic Pole Vault The graph in Figure 7 indicates that in recent years the winning Olympic men’s...

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Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise.
An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553)
considered the microstructure of the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown
below:
Po
(a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slope
in the simple linear regression model. Find an estimate of o².
(Round your answer to 3 decimal places.)
(Round your answer to 5 decimal places.)
(Round your answer to 2 decimal places.)
Â₁
2²
=
=
||
i
x = Temperature (°C) 1100 1200 1300 1100 1500 1200 1300
13.5 11.4 7.7 3.6
y = Porosity (%)
i
30.8 19.2 6
(b) Estimate the mean porosity for a temperature of 1409 °C.
ŷ = i
(Round your answer to 2 decimal places.)
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