The following table represents collected data from literature regarding the inelastic axial capacity (Pn) of Aluminum symmetric profiles as a function of the Area of the section and the Slenderness Ratio (SR) of the bar.Produce a linear model for the capacity in the form Pn= C1 X Area + C2 X SR, show the statistics of the linear model on this paper.Use your linear model to predict Pn for the case of Area= 200 and SR = 35.Produce a 95% confidence interval for your expected value of Pn at Area=200mm2 and SR=35.Find the maximum possible Pn and the minimum possible Pn based on 95% confidence limits of the parameters.Suggest how to improve your model by saying which one of the two factors must be treated nonlinearly and show why you think so! (give at least one direct reason)Area(mm2)SR (-)Pn (kN)198.3161273216.389136.522894129184.383133.8220.199112.3166.733765.4201.570205.6219.853391.2196.875174.9230.920980221.653394.4217.384154176.623800175.971174.5196.571194.9181.362235.8248.686168.1231.959333.1190.949397.5193.159277.4207.678170.6201.361270.520149418.6260.556415.3194.690120.1

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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The following table represents collected data from literature regarding the inelastic axial capacity (Pn) of Aluminum symmetric profiles as a function of the Area of the section and the Slenderness Ratio (SR) of the bar.

Produce a linear model for the capacity in the form Pn= C₁ X Area + C₂ X SR, show the statistics of the linear model on this paper.
Use your linear model to predict Pn for the case of Area= 200 and SR = 35.
Produce a 95% confidence interval for your expected value of Pn at Area=200mm² and SR=35.
Find the maximum possible Pn and the minimum possible Pn based on 95% confidence limits of the parameters.
Suggest how to improve your model by saying which one of the two factors must be treated nonlinearly and show why you think so! (give at least one direct reason)

Area (mm²)	SR (-)	Pn (kN)
198.3	16	1273
216.3	89	136.5
228	94	129
184.3	83	133.8
220.1	99	112.3
166.7	33	765.4
201.5	70	205.6
219.8	53	391.2
196.8	75	174.9
230.9	20	980
221.6	53	394.4
217.3	84	154
176.6	23	800
175.9	71	174.5
196.5	71	194.9
181.3	62	235.8
248.6	86	168.1
231.9	59	333.1
190.9	49	397.5
193.1	59	277.4
207.6	78	170.6
201.3	61	270.5
201	49	418.6
260.5	56	415.3
194.6	90	120.1

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