Medical researchers tested a new method of typing blood using low-cost paper. Theresearchers applied blood drops to the paper and recorded the rate of absorption(called blood wicking). The table gives the wicking lengths (millimeters) for six blooddrops, each at a different antibody concentration. Let y = wicking length and x =antibody concentration.DropletLengthConcentration122.500.0216.000.2313.500.4414.000.6513.750.8612.501.0 (1) Give the equation of the fitted regression model.bị: (Round off to 4 decimal places)bọ: (Round off to 4 decimal places)(2) Test the hypothesis that the Bo = 10 versus Bo < 10 using a=0.05.Test Statistic (Round off to 2 decimal places):Conclusion:(Type 'Reject HO' or 'Fail to Reject HO')(3) Construct the ANOVA table to test Bo = 0 versus Bo + 0 using a=0.05. (Show inSolution)(4) Find the correlation coefficient. (Round off to 4 decimal places)

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Answered: (1) Give the equation of the fitted…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

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The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.
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(1) Give the equation of the fitted regression model. bị: (Round off to 4 decimal places) bo: (Round off to 4 decimal places) (2) Test the hypothesis that the Bo = 10 versus Bo < 10 using a=0.05. Test Statistic (Round off to 2 decimal places): Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')