1.1 Please use the accomparAn article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafine PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructureof the ultrafine powder of partially stabilized zirconia as a function of temperature. The data are shown below:x- Temperature (°C) 11001200 130O1100 1500 1200 1300y = Porosity (9%)30.819.213.511.47.73.6(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 regressionmodel. Find an estimate of o².Poi(Round your answer to 3 decimal places.)(Round your answer to 5 decimal places.)(Round your answer to 2 decimal places.)(b) Estimate the mean porosity for a temperature of 1407°C.(Round your answer to 2 decimal places.)

Introduction: The temperature (x) and porosity (y) are given. It is required to fit a linear…

Answered: An article in the Journal of the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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In an experiment to determine factors related to weld toughness, the Charpy V-notch impact toughness in ft - 1b (v) was measured for 22 welds at 0°Č, along with the lateral expansion at the notch in % (x,), and the brittle fracture surface in % (x2). The data are presented in the following table. X1 X2 y 32 20.0 28 39 23.0 28 20 12.8 32 21 16.0 29 25 10.2 31 20 11.6 28 32 17.6 25 29 17.8 28 27 16.0 29 43 26.2 27 22 9.6 32 22 15.2 32 18 8.8 43 32 20.4 24 22 12.2 36 25 14.6 36 25 10.4 29 20 11.6 30 20 12.6 31 24 16.2 36 18 9.2 34 28 16.8 30 a. Fit the model y = Bo + B1 X1 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. b. Fit the model y = Bo + B, xz + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. c. Fit the model y = Bo + B1 X1 + Bzx2 + ɛ. For each coefficient, test the null hypothesis that it is equal to 0. d. Which of the models in parts (a) through (c) is the best of the three? Why do you think %3D + E. so?
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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 y - Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 Find the least squares estimate of the slope. Input answers up to 5 decimal places. Slope = Blank 1
An article in the Journal of the American Ceramic Society, "Rapid Hot-Pressing of Ultrafıne PSZ Powders" (1991, Vol. 74, pp. 1547-1553) considered the microstructure of the ultrafıne 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 y = Porosity (%) 30.8 11.4 7.7 19.2 6 13.5 3.6 (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 o. i (Round your answer to 3 decimal places.) (Round your answer to 5 decimal places.) 6 = i (Round your answer to 2 decimal places.) (b) Estimate the mean porosity for a temperature of 1447 °C. ŷ = (Round your answer to 2 decimal places.)
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 y = Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 Find the least squares estimate of the slope. Input answers up to 5 decimal places. Slope = Blank 1 Blank 1 Add your answer
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 y - Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 Find an estimate of o2 Input answers up to two decimal places. o2= Blank 1
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: ... Temperature (°C) 1100 1200 1300 1100 1500 1200 1300 y - Porosity (%) 30.8 19.2 6 13.5 11.4 7.7 3.6 Find an estimate of o2 Input answers up to two decimal places. o2= Blank 1

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