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

This preview shows pages 1–4. Sign up to view the full content.

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 :=

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
() 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 ()
Z Y 2 , x = 0.829 () cnorm Z Y

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 4

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online