The compressive strength of an alloy fastener used in aircraft construction is being studied. Ten loads were selected over the range 2500–4300 psi, and a number of fasteners were tested at those loads. The numbers of fasteners failing at each load were recorded. The complete test data are shown in Table E11-14. TABLE · E11-14 Fastener Failure DataLoad, x (psi) Sample Size, n2500Number Failing, r1050270070172900310000306021330040183500854337009054390050334100806043006551a. Fit a logistic regression model to the data. Use a simple linear regression model as thestructure for the linear predictor.b. Is the logistic regression model in part (a) adequate?

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TABLE · E11-14 Fastener Failure Data Load, x (psi) Sample Size, n 2500 Number Failing, r 10 50 2700 70 17 2900 100 30 21 3100 60 3300 40 18 3500 85 43 3700 90 54 3900 50 33 4100 80 60 4300 65 51 a. Fit a logistic regression model to the data. Use a simple linear regression model as the structure for the linear predictor. b. Is the logistic regression model in part (a) adequate?

TABLE · E11-14 Fastener Failure Data Load, x (psi) Sample Size, n 2500 Number Failing, r 10 50 2700 70 17 2900 100 30 21 3100 60 3300 40 18 3500 85 43 3700 90 54 3900 50 33 4100 80 60 4300 65 51 a. Fit a logistic regression model to the data. Use a simple linear regression model as the structure for the linear predictor. b. Is the logistic regression model in part (a) adequate?

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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Please help by providing detailed workings. Answers to a minimum of 6 d.p. Thanks
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Values of modulus of elasticity (MOE, the ratio of stress, i.e., force per unit area, to strain, i.e., deformation per unit length, in GPa) and flexural strength (a measure of the ability to resist failure in bending, in MPa) were determined for a sample of concrete beams of a certain type, resulting in the following data: MOE 29.7 33.1 33.6 35.2 35.4 36.2 36.2 36.3 37.4 37.8 Strength 5.8 7.1 7.2 6.2 8.0 6.9 7.1 7.7 6.7 6.4 MOE 38.6 38.7 39.7 40.9 42.7 42.7 43.6 45.7 45.9 46.8 Strength 7.1 6.4 8.0 8.9 8.3 8.8 7.9 9.6 7.3 7.6 MOE 47.9 49.2 51.6 62.7 69.7 79.6 80.1 Strength 9.8 7.7 7.8 11.5 11.4 11.9 10.6 Fitting the simple linear regression model to then = 27 observations on x = modulus of elasticity and y = flexural strength given in the data above resulted in ý = 7.589, s, = 0.180 when x = 40 and ý = 9.749, s, = 0.255 for x = 60. The simple linear regression model also resulted in a value of s = 0.8718.