11.7.7 WP Vs SS An article in the Journal of the AmericanStatistical Association ["Markov Chain Monte Carlo Methodsfor Computing Bayes Factors: A Comparative Review" (2001,Vol. 96, pp. 1122-1132)] analyzed the tabulated data on compres-sive strength parallel to the grain versus resin-adjusted density forspecimens of radiata pine. The data are shown below.CompressiveStrengthCompressiveStrengthDensityDensity304029.2384030.7247024.7380032.7361032.3460032.6348031.3190022.1381031.5253025.3233024.5292030.8180019.9499038.9311027.3167022.1316027.1331029.2231024.0345030.1436033.8360031.4188021.5285026.7367032.2159022.1174022.5377030.3225027.5385032.0265025.6248023.2497034.5357030.3262026.2262029.9290026.7189020.8167021.1303033.2254024.1303028.2a. Fit a regression model relating compressive strength todensity.b. Test for significance of regression with a = 0.05.c. Estimate o² for this model.

Answered: Image /qna-images/answer/77b2282b-2119-4d17-834b-a2c287bf7f4d.jpg

Answered: 11.7.7 WP VS SS An article in 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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Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117-134)). (a) If X is the sample mean Young's modulus for a random sample of n = 64 sheets, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? E(X) ох = GPa GPa (b) Answer the questions posed in part (a) for a sample size of n = 256 sheets. E(X) GPa GPa ох = (c) For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within 1 GPa of 70 GPa? Explain your reasoning. O X is more likely to be within 1 GPa of the mean in part (b). This is due to the increased variability of X that…
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117-134)). (a) If X is the sample mean Young's modulus for a random sample of n = 16 sheets, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? E(X) = GPa GPa x = (b) Answer the questions posed in part (a) for a sample size of n = 64 sheets. E(X) GPa GPa ox = (c) For which of the two random samples, the one of part (a) or the one of part (b), is X more likely to be within 1 GPa of 70 GPa? Explain your reasoning. O X is more likely to be within 1 GPa of the mean in part (b). This is due to the decreased variability of X that…
Young's modulus is a quantitative measure of stiffness of an elastic material. Suppose that for aluminum alloy sheets of a particular type, its mean value and standard deviation are 70 GPa and 1.6 GPa, respectively (values given in the article "Influence of Material Properties Variability on Springback and Thinning in Sheet Stamping Processes: A Stochastic Analysis" (Intl. J. of Advanced Manuf. Tech., 2010: 117-134)). | If X is the sample mean Young's modulus for a random sample of n = 64 sheets, where is the sampling distribution of X centered, and what is the standard deviation of the X distribution? EX) = GPa GPa J Answer the questions posed in part (a) for a sample size of n = 256 sheets. E(X) = GPa GPa For which of the two random samples, the one part (a) or the one of part (b), is X more likely to be within 1 GPa of 70 GPa? Explain your reasoning. O X is more likely to be within 1 GPa of the mean in part (b). This is due to the increased variability of X that comes with a larger…
11.7.7 WP Vs SS An article in the Journal of the American Statistical Association ["Markov Chain Monte Carlo Methods for Computing Bayes Factors: A Comparative Review" (2001, Vol. 96, pp. 1122-1132)] analyzed the tabulated data on compres- sive strength parallel to the grain versus resin-adjusted density for specimens of radiata pine. The data are shown below. Compressive Strength Compressive Strength Density Density 3040 29.2 3840 30.7 2470 24.7 3800 32.7 3610 32.3 4600 32.6 3480 31.3 1900 22.1 3810 31.5 2530 25.3 2330 24.5 2920 30.8 1800 19.9 4990 38.9 3110 27.3 1670 22.1 3160 27.1 3310 29.2 2310 24.0 3450 30.1 4360 33.8 3600 31.4 1880 21.5 2850 26.7 3670 32.2 1590 22.1 1740 22.5 3770 30.3 2250 27.5 3850 32.0 2650 25.6 2480 23.2 4970 34.5 3570 30.3 2620 26.2 2620 29.9 2900 26.7 1890 20.8 1670 21.1 3030 33.2 2540 24.1 3030 28.2 a Calculate R² for this model. Provide an interpretation of this quantity. b Prepare a normal probability plot of the residuals and interpret this display. c…
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