Ag.11.57 A researcher conducts an experiment to examine the relationship between the weightgain of chickens whose diets had been supplemented by different amounts of the amino acidlysine and the amount of lysine ingested. Since the percentage of lysine is known and we canmonitor the amount of feed consumed, we can determine the amount of lysine eaten. A randomsample of 12 2-weck-old chickens was selected for the study. Each was caged separately and wasallowed to cat at will from feed composed of a base supplemented with lysine. The sample datasummarizing weight gains and amounts of lysine eaten over the test period are given here. (In thedata, y represents weight gain in grams, and x represents the amount of lysine ingested in grams.)a. From the scatterplot of the data, does a lincar model seem appropriate?b. Compute the estimated linear regression model ŷ = B, + B,x.Weight Gain, Lysine Ingested,y (in grams)Weight Gain, Lysine Ingested,y (in grams)Chickx (in grams)Chickx (in grams)114.709717.2.11217.8.1418.7.19319.6.1820.22318.4.151016.0.13520.5.161117.8.1721.1231219.42111.58 Refer to Exercise 11.57.a. Estimate o.b. Compute the standard error of B,.c. Conduct a statistical test of the rescarch hypothesis that for this diet preparationand length of study, there is a direct (positive) linear relationship between weightgain and amount of lysine eaten.11.59 Refer to Exercise 11.57.a. For this exercise, would it make sense to give any physical interpretation to B,?(Hint: The lysine was mixed in the feed.)b. Consider an alternative model relating weight gain to amount of lysine ingested:y = Bix +eDistinguish between this model and the model y = Bo + Bix + e.11.60 a. Refer to part (b) of Exercise 11.59. Obtain 8, for the model y = B,x + e, whereExyb. Which of the two models, y Bo+ Bix + c or y Bx + e, appears to give abetter fit to the sample data? (Hint: Examine the two prediction equations on agraph of the sample observations.)比 QUESTION 6Problem 11.57dc: Report your reasoning and conclusionHint: L-24: p 7 (Ex. 11.65cc)O 1. p-value>0.053Da → Fail to reject Ho: There isfa relationshipsignificant evidencbetween the independent and thedependent variable.II. p-value>0.053Da → Fail to reject Ho: There isinsufficient evidence of a relationshipbetween the independent and thedependent variable.II. p-value<0.05=Da → Reject Ho: There isinsufficient evidence of a relationshipbetween the independent and thedependent variable.O IV. p-value<0.05=a → Reject Ho: There issignificant evidence of a relationship betweenthe independent and the dependent variable.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

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