Homework 12.pdf

Problem Set 12Due on 2018-06-081.Textbook Section 10.1-9,Page 363 The resilience y of a certain type of plastic is to be represented as a linear function ofboth the temperature x1at which the plastic is baked and the number of minutes x2for which it is baked.Suppose that 10 pieces of plastic are prepared by using differentvalues of x1and x2,and the observed values in appropriate units are as given in table10.4.Fit a function having the form y=0+1x1+2x2to those observed values bythe method of least squares.ixi1xi2yi1100111321002118311011274110213251201136612021447120313881301146913021561013031492.Textbook Section 10.2-18,Page 373 Moore and McCabe(1999,p.174)report prices paid for several species of seafood in 1970and 1980.These values are in table below.If we were interested in trying to predict1980 seafood prices from 1970 prices,a linear regression model might be used.(a)Find the least-squares regression coefficients for predicting 1980 prices from 1970prices.(b)If an addition species sold for 21.4 in 1970,what would you predict for the 1980selling price?(c)What is the M.S.E.for predicting the 1980 price of a species that sold for 21.4 in1970?(d)Test whether the slope coefficient for 1970 price is zero at the level of significance0.05.1(e)Find the 95%confidence interval of the expected value of 1980 prices for speciessold for 21.4 in 1970.(f)Find the 95%prediction interval for the 1980 price of a species that sold for 21.4 in1970.197019801970198013.127.326.780.115.342.447.5150.725.838.76.620.31.84.594.7189.74.92361.1131.355.4166.3135.6404.239.3109.747.61492