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 shownbelow:x-Temperature (°C) 1100 1200 1300 1100 1500 1200 130013.5 11.4 7.7 3.6y - Porosity (%)30.8 19.26(a) Fit the simple linear regression model using the method of least squares. Find the least squares estimates of the intercept and slopein the simple linear regression model. Find an estimate of o².Bo = i(Round your answer to 3 decimal places.)B₁ =i(Round your answer to 5 decimal places.)6² =i(Round your answer to 2 decimal places.)(b) Estimate the mean porosity for a temperature of 1377 °C.y = i(Round your answer to 2 decimal places.)

a) Excel Procedure: Enter X and Y in Excel>Data>Data Analysis> ‘Regression’>Select Y…

Answered: An article in the Journal of the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Determine the coefficients of the parabola ax2 + bx + c, that passes through the following density values as a function of temperature.
Find the center of mass of the thin plate bounded by the graphs of the given functions. g(x) = x^2(x+ 1), f(x) = 2, and x= 0.
Find the center of mass of a thin plate of density d = 3 bounded by the lines x = 0, y = x, and the pa-rabola y = 2 - x2 in the first quadrant.
Let f(x, y) = exy and P(1, 0). Find the maximum and minimum rates of change of f at the point P. In which directions will these rates of change occur?
the lengths a, b, and c of the edges of a rectangular box are changing with time. at the instant in question, a = 1m, b = 2 m, c = 3 m, da/dt = db/dt = 1 m/sec, and dc/dt = -3 m/sec. at what rates are the boxes volume v and surface area s changing at that instant? are the box's interior diagonals increasing in length or decreasing?
The owner of a local hot dog stand has estimated that if he lowers the price of hot dogs from $2.00 to $1.50, he will increase sales from 400 to 500 hot dogs per day. Using the midpoint formula, the demand for hot dogs is ___________. A) elastic. B) inelastic. C) unit elastic. D) perfectly elastic.
a. What is the joint marginal PDF of X and Z?b. What is [P 0 <= Y <= 3/2 | X = 1/3 Z = 5/2]?
Don't the original bounds of f(x,y) come into play when solving for the E(XY) and the marginal pdf of either x or y? image below ...
In the article “Influence of Crack Width on Shear Behaviour of SIFCON” (C. Fritz and H. Reinhardt, High Performance Fiber Reinforced Cement Composites: Proceedings of the International RILEM/ACI Workshop, 1992), the maximum shear stress τ of a cracked concrete member is given to be τ = τ0(1 − kw), where τ0 is the maximum shear stress for a crack width of zero, w is the crack width in mm, and k is a constant estimated from experimental data. Assume k = 0.29 ± 0.05 mm−1. Given that τ0 = 50 MPa and w = 1.0 mm, both with negligible uncertainty, estimate τ and find the uncertainty in the estimate.
A mass m moves along the x-axis subject to an attractive force given by 19mx/2 and a retarding force given by , where x is its distance from the origin and is a constant. A driving force given by , where A is a constant, is applied to the particle along the x-axis. c)What is the maximum amplitude
Let I = W/H^2 denote the BMI. Estimate the change in height that will decrease I by 1 if(W,H) = (25, 1.1), assuming that W remains constant.
Researchers in Alaska have developed models that can be used to estimate the mass of a polar bear. For bears that are caught in the spring of the year M(x, y) = 0.000199x1.2823y1.4874, where M(x, y) is the mass of the bear (in kg), x is the straight-line body length (in cm), measured from the tip of the nose to the base of the tail, and y is the girth (in cm), measured directly behind the shoulders. Source: Wildlife Society Bulletin. Find the level curve for a polar bear with a mass of 250 kg.

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