Answered: A researcher is studying the effect of…

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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A researcher is studying the effect of using fibers and different water ratios on the strength of certain material. The results of the study are shown in the given table. Use a confidence level of 95% in all your answers. What type of ANOVA do you use to study this research? One-way or Two-Way or Many-Way? How many replicates are there? Does the fiber concentration have an effect on the strength of the material? Does the water ratio have an effect on the strength of the material? Do a linear fitting for the data to produce a linear model that gives you the strength (S) as a function of the fiber concentration (F) and water ratio (W). Do you think we need to go to nonlinear fitting? If yes, then suggest a “better nonlinear model” for the fitting.

Fiber
Concentration "F" "W"
Water Ratio Strength
"S"
0.1
250
0.4
243
0.7
238
0.01
0.01
0.01
0.05
0.05
0.05
0.1
0.1
0.1
0.1
270
0.4
265
0.7
260
0.1
300
0.4
310
0.7
300
0.1
290
0.4
295
0.7
288

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