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 30.8 19.2 6 y - Porosity (%) 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 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 30.8 19.2 6 y - Porosity (%) 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

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 1TU: The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t=...

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The following fictitious table shows kryptonite price, in dollar per gram, t years after 2006. t= Years since 2006 0 1 2 3 4 5 6 7 8 9 10 K= Price 56 51 50 55 58 52 45 43 44 48 51 Make a quartic model of these data. Round the regression parameters to two decimal places.
A number of studies have shown lichens (certain plants composed of an alga and a fungus) to be excellent bioindicators of air pollution. The article “The Epiphytic Lichen Hypogymnia physodes as a Biomonitor of Atmospheric Nitrogen and Sulphur Deposition in Norway” (Environ. Monitoring Assessment, 1993: 27–47) gives the following data (read from a graph) on x ¼ NO3 wet deposition (g N/m2 ) and y ¼ lichen N (% dry weight): (refer to chart) The author used simple linear regression to analyze the data. Use the accompanying MINITAB output to answer the following questions: a. What are the least squares estimates of b0 and b1? b. Predict lichen N for an NO3 deposition value of .5. c. What is the estimate of s? d. What is the value of total variation, and how much of it can be explained by the model relationship?
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]?
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.
Snowpacks contain a wide spectrum of pollutants thatmay represent environmental hazards. The article“Atmospheric PAH Deposition: Deposition Velocitiesand Washout Ratios” (J. of EnvironmentalEngineering, 2002: 186–195) focused on the depositionof polyaromatic hydrocarbons. The authors proposeda multiple regression model for relating depositionover a specified time period (y, in mg/m2) to tworather complicated predictors x1 (mg-sec/m3) and x2 (mg/m2), defined in terms of PAH air concentrations forvarious species, total time, and total amount of precipitation.Here is data on the species fluoranthene andcorresponding Minitab output:obs x1 x2 flth1 92017 .0026900 278.782 51830 .0030000 124.533 17236 .0000196 22.654 15776 .0000360 28.685 33462 .0004960 32.666 243500 .0038900 604.707 67793 .0011200 27.698 23471 .0006400 14.189 13948 .0004850 20.6410 8824 .0003660 20.6011 7699 .0002290 16.6112 15791 .0014100 15.0813 10239 .0004100 18.0514 43835 .0000960 99.7115 49793 .0000896 58.9716 40656…
The following partial JMP regression output for the Fresh detergent data relates to predicting demand for future sales periods in which the price difference will be .10. SE Fit = .165360573, s = .628152. Predicted Demand Lower 95% MeanDemand Upper 95% MeanDemand 31 8.181072245 7.842346262 8.519798229 StdErr IndivDemand Lower 95% IndivDemand Upper 95% MeanDemand 0.649552965 6.850522511 9.511621980 Click here for the Excel Data File (a) Report a point estimate of and a 95 percent confidence interval for the mean demand for Fresh in all sales periods when the price difference is .10. (Round your CI answers to 3 decimal places and other answer to 4 decimal places.) (b) Report a point prediction of and a 95 percent prediction interval for the actual demand for Fresh in an individual sales period when the price difference is .10. (Round your PI answers to 3 decimal places and other answer to 4 decimal places.) (c) StdErr Indiv Demand on…
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.
The Lorenz curves for the income distribution in the United States for all races for 2015 and for 1980 are given below. 2015: y = x2.661 1980: y = x2.241 Find the Gini coefficient of income for both years. (Round your answers to three decimal places.) 2015: 1980:
The following data is representative of that reported in an article on nitrogen emissions, with x = burner area liberation rate (MBtu/hr-ft2) and y = NOx emission rate (ppm): x 100 125 125 150 150 200 200 250 250 300 300 350 400 400 y 140 150 180 210 190 310 270 410 440 450 380 600 600 670 (a) Assuming that the simple linear regression model is valid, obtain the least squares estimate of the true regression line. (Round all numerical values to four decimal places.)y = (b) What is the estimate of expected NOx emission rate when burner area liberation rate equals 200? (Round your answer to two decimal places.) ppm(c) Estimate the amount by which you expect NOx emission rate to change when burner area liberation rate is decreased by 60. (Round your answer to two decimal places.) ppm(d) Would you use the estimated regression line to predict emission rate for a liberation rate of 500? Why or why not? Yes, the data is perfectly linear, thus lending to accurate…
Plasma etching is essential to the fine-line pattern transfer in semiconductor processes.The article “Ion BeamAssisted Etching of Aluminum with Chlorine” (J. of the Electrochem. Soc.,1985: 2010–2012) gives the accompanying data (read from a graph) on chlorine flow (x, in SCCM)through a nozzle used in the etching mechanism and etch rate (y, in 100 A/min).x <- c(1.5, 1.5, 2.0, 2.5, 2.5, 3.0, 3.5, 3.5, 4.0)y <- c(23.0, 24.5, 25.0, 30.0, 33.5, 40.0, 40.5, 47.0, 49.0) Does the simple linear regression model specify a useful relationship between chlorine flowand etch rate? Estimate the true average change in etch rate associated with a 1-SCCM increase in flowrate using a 95% confidence interval, and interpret the interval.Calculate a 95% CI for µY |x=3.0, the true average etch rate when flow = 3.0. Has this averagebeen precisely estimated? Calculate a 95% PI for a single future observation on etch rate to be made when flow = 3.0.Is the prediction likely to be accurate? Would the 95%…
The chief economist for Argus Corporation, a large appliance manufacturer, estimated the firm’s short-run cost function for vacuum cleaners using an average variable cost function of the form AVC = a + bQ + cQ2 where AVC = dollars per vacuum cleaner and Q = number of vacuum cleaners produced each month. Total fixed cost each month is $180,000. The following results were obtained: DEPENDENT VARIABLE: AVC R-SQUARE F-RATIO P-VALUE ON F OBSERVATIONS: 19 0.7360 39.428 0.0001 VARIABLE PARAMETER ESTIMATE STANDARD ERROR T-RATIO P-VALUE INTERCEPT 191.93 54.65 3.512 0.0029 Q -0.0305 0.00789 23.866 0.0014 Q2 0.0000024 0.00000098 2.449 0.0262 c) If Argus Corporation produces 8,000 vacuum cleaners per month, what is the Marginal cost?