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.)

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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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.)
Statistical Tables and Charts
Transcribed Image Text: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.) Statistical Tables and Charts
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