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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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.

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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 94E

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Question

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

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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