Question: Analogouslytothepreviousexercise,randomlysample30 X observationsfromauniformin the interval(-4,4)andconditionalon X = x, 30normalobservationswith E(Y ) = 3.5x3 20x2 + 0.5x + 20 and = 30. FitpolynomialnormalGLMsoflowerandhigherorderthan that

Analogouslytothepreviousexercise,randomlysample30 X observationsfromauniformin the interval(-4,4)andconditionalon X = x, 30normalobservationswith E(Y ) = 3.5x3 −

20x2 + 0.5x + 20 and σ = 30. FitpolynomialnormalGLMsoflowerandhigherorderthan that ofthetruerelationship.Whichmodelwouldyousuggest?Repeatthesametaskfor E(Y ) = 0.5x3 − 20x2 + 0.5x + 20 (same σ) severaltimes.Whatdoyouobserve?Whichmodel wouldyousuggestnow?

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