ProblemSet12Dueon2018-06-081.TextbookSection10.1-9,Page363–Theresilienceyofacertaintypeofplasticistoberepresentedasalinearfunctionofboththetemperaturex1atwhichtheplasticisbakedandthenumberofminutesx2forwhichitisbaked.Supposethat10piecesofplasticarepreparedbyusingdifferentvaluesofx1andx2,andtheobservedvaluesinappropriateunitsareasgivenintable10.4.Fitafunctionhavingtheformy=β0+β1x1+β2x2tothoseobservedvaluesbythemethodofleastsquares.ixi1xi2yi1100111321002118311011274110213251201136612021447120313881301146913021561013031492.TextbookSection10.2-18,Page373–MooreandMcCabe(1999,p.174)reportpricespaidforseveralspeciesofseafoodin1970and1980.Thesevaluesareintablebelow.Ifwewereinterestedintryingtopredict1980seafoodpricesfrom1970prices,alinearregressionmodelmightbeused.(a)Findtheleast-squaresregressioncoefficientsforpredicting1980pricesfrom1970prices.(b)Ifanadditionspeciessoldfor21.4in1970,whatwouldyoupredictforthe1980sellingprice?(c)WhatistheM.S.E.forpredictingthe1980priceofaspeciesthatsoldfor21.4in1970?(d)Testwhethertheslopecoefficientfor1970priceiszeroatthelevelofsignificance0.05.1(e)Findthe95%confidenceintervaloftheexpectedvalueof1980pricesforspeciessoldfor21.4in1970.(f)Findthe95%predictionintervalforthe1980priceofaspeciesthatsoldfor21.4in1970.197019801970198013.127.326.780.115.342.447.5150.725.838.76.620.31.84.594.7189.74.92361.1131.355.4166.3135.6404.239.3109.747.61492
