Mathcad - UF-ESI-6321-12-01-02

Mathcad - UF-ESI-6321-12-01-02 - UF-ESI-6321...

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UF-ESI-6321 UF-ESI-6321-12-01-02.xmcd page 1 of 2 12.1.2 Suppose that the purity of a chemical solution y is related to the amount of a catalyst x through a linear regression model with β 0 := 123.0 β 1 := 2.16 and with an error standard deviation := 4.1 σ := 0 ε Ex := β 0 + x + ε () β 1 (a) What is the expected value of the purity when the catalyst level is x := 20 Ex = 79.8 () (b) How much does the expected value of the purity change when the catalyst level increases by Δ x := 10 Ex + Δ x () () Ex = 21.6 (c) What is the probability that the purity is less than Y := 60.0 when the catalyst level is x := 25 Ex = 69 () Y Ex () ZY , x :=
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() σ ZY , x = 2.195 () cnorm Z Y ( , x ) = 0.0141 () Luther Setzer 1 NASA Pkwy E Stop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 UF-ESI-6321 UF-ESI-6321-12-01-02.xmcd page 2 of 2 (d) What is the probability that the purity is between Y 1 := 30 and Y 2 := 40 when the catalyst level is x := 40 Ex = 36.6 () Z Y 1 , x = 1.61 ()
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Z Y 2 , x = 0.829 () cnorm Z Y
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Mathcad - UF-ESI-6321-12-01-02 - UF-ESI-6321...

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