As part of a new animal feed trial, veterinary scientists wish to compare the perfor-mance of a new formula with that of an old diet. 50 pigs are assigned to an identicalhandling procedure but half are randomly selected and given the new feed (feed =1) while the other half are given normal food (feed = 0). The weight of the animalsis measured at the beginning (preweight) and at the end of the trial (postweight).Both preweight and postweight are measured in kilograms, and the difference(veightdiff) is calculated using weightdiff = postweight – preweight. Theexperimenters begin their analysis by fitting the following regression model:weightdiff = B + Bifeed + Bapreweight + Bzfeed : preveight +efrom which the following R output is obtained:Coefficients:EstimateStd. Error t value Pr(>|tI)(Intercept)0.4388150.1815722.4170.0175 *feed4.8920930.25043019.535<2e-16 ***preweight0.0481430.001699 28.335<2e-16 ***feed:preweight -0.0292250.002308 -12.664<2e-16 ***(a) Using the R output above, interpret the linear relationship between an animalweightdiff and their preweight under the old diet and explain how thisdiffers when using the new feed. Sketch two straight lines representing the fit.(b) State the assumptions associated with a linear regression model. Using theplots provided at the end of the paper, in addition to any other relevant in-formation, discuss whether the modelling assumptions have been met. Clearlyexplain your reasoning. (c) The scientists wish to obtain a prediction and prediction interval for the likelyweight difference for an animal weighing 121 kilograms. They use the followingR command:predict (weighttrial.lm,newdata = data.frame (preweight = 121, feed = 1),interval = "confidence", level = 0.95)fitlwrupr7.620016 7.550133 7.6899Explain why this calculation is incorrect and explain what the consequence ofthis mistake would be. Interpret the interval that has been calculated.Residuals vs FittedNormal Q-Qo184500400-0204o OcgFitted valuesTheoretical QuantilesFigure 1: Residual plots for the model in question R1(b)Serpise pezpiepuRS8gerpseu

Answered: As part of a new animal feed trial,…

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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